diff --git a/docs/butterworth.md b/docs/butterworth.md index 6bccc24..4f21a7a 100644 --- a/docs/butterworth.md +++ b/docs/butterworth.md @@ -118,6 +118,86 @@ keeping the denominator monic. The numerator has $b[0] = 1$ and all other $b[k] = 0$, giving unity high-frequency gain: $H(\infty) = 1$. +## Uniform damping ratio constructor + +The second constructor overload accepts an explicit damping ratio $\zeta$. + +```cpp +Butterworth(cutoff_hz, sample_rate_hz, zeta) +``` + +Every complex-conjugate pole pair is placed at the same $\zeta$, giving each +quadratic factor the form $s^2 + 2\zeta\omega_c s + \omega_c^2$. This differs from +the classical constructor, where each pair has a distinct damping ratio determined +by its position on the unit circle. + +### Pole placement + +All $M = \lfloor N/2 \rfloor$ complex pairs share the same pole location: + +$$p = \omega_c(-\zeta \pm j\sqrt{1 - \zeta^2})$$ + +The behavior depends on $\zeta$. For $0 < \zeta < 1$ the poles are complex +conjugates (underdamped). For $\zeta = 1$ the two roots coincide at +$-\omega_c$ (critically damped). For $\zeta > 1$, the equivalent real-pole form +$p = \omega_c(-\zeta \pm \sqrt{\zeta^2 - 1})$ applies, so the poles are two +distinct negative real values (overdamped). All three cases produce a stable +filter with real polynomial coefficients, and `butterworth_poly_coeffs_zeta` +handles them identically since it operates only on the real quadratic factor +$s^2 + 2\zeta\omega_c s + \omega_c^2$. + +For odd $N$ the remaining real pole is placed at $-\omega_c$, identical to the +classical case (a real pole has no damping ratio to control). + +### Denominator polynomial + +Because the poles are known analytically as quadratic factors, the denominator +is built by real arithmetic directly, without complex types. Starting from the +constant polynomial 1, each conjugate pair multiplies in a quadratic factor. + +```text +for pair = 0 .. M-1: + cur = 2*pair + for j = cur+2 downto 2: + poly[j] += 2*zeta*poly[j-1] + poly[j-2] + poly[1] += 2*zeta*poly[0] +if N is odd: + for j = N downto 1: + poly[j] += poly[j-1] +``` + +For example, with $\zeta = 0.5$: + +$$N=2: \quad s^2 + s + 1$$ + +$$N=3: \quad s^3 + 2s^2 + 2s + 1$$ + +$$N=4: \quad s^4 + 2s^3 + 3s^2 + 2s + 1$$ + +Cutoff scaling and numerator construction follow the same rules as the classical +constructor (Steps 3 and 4 above). + +### Highpass variant + +The highpass transform is identical to the classical case. The denominator +coefficients are reversed and scaled by $\omega_c^k$, and the numerator is +$b[0] = 1$ with all other entries zero. + +### ZOH order restriction + +The zeta constructor does not supply a `FactoredTF`, so ZOH discretization falls +back to generic eigendecomposition via `matrix_exp`. With uniform $\zeta$ and +$N \geq 4$, every complex pair lands at the same pole location, producing repeated +eigenvalues in the controllable canonical form matrix. QR-based eigendecomposition +is ill-conditioned for defective matrices of this kind. The eigenvector matrix is +singular, so `matrix_exp` returns wrong results. MatchedZ and Tustin are +unaffected because they do not use eigendecomposition. + +A `static_assert` rejects `ZOH` with `N >= 4` at compile time. See +[issue 56](https://github.com/MitchellThompkins/constfilt/issues/56) for +background. The classical constructor is not affected because its poles are +always distinct by construction. + ## Test reference `tests/butterworth_reference.hpp` is regenerated from Octave's stock `butter()` diff --git a/include/constfilt/analog_filter.hpp b/include/constfilt/analog_filter.hpp index f6ce156..fc071bb 100644 --- a/include/constfilt/analog_filter.hpp +++ b/include/constfilt/analog_filter.hpp @@ -8,6 +8,14 @@ namespace constfilt { +struct LowPass +{ +}; + +struct HighPass +{ +}; + // Discretize an analog (continuous-time, s-domain) transfer function into a // digital Filter. // diff --git a/include/constfilt/butterworth.hpp b/include/constfilt/butterworth.hpp index d150a01..99687d4 100644 --- a/include/constfilt/butterworth.hpp +++ b/include/constfilt/butterworth.hpp @@ -8,14 +8,6 @@ namespace constfilt { -struct LowPass -{ -}; - -struct HighPass -{ -}; - // Template parameters: // T - floating-point scalar type // N - filter order (>= 1) @@ -40,6 +32,25 @@ class Butterworth { } + // Construct with uniform damping ratio zeta across all complex pole pairs. + // Routes through generic eigendecomposition (no FactoredTF) to avoid the + // Vandermonde singularity that arises when N>=4 produces identical pole + // pairs. + constexpr Butterworth(T cutoff_hz, T sample_rate_hz, T zeta) + : AnalogFilter( + compute_continuous_tf_zeta(cutoff_hz, zeta), sample_rate_hz, + make_tustin_tag(cutoff_hz, BoundMethod{})) + { + // Uniform zeta produces repeated complex eigenvalue pairs for N>=4. + // consteig's QR iteration cannot split a defective eigenvalue block, + // so matrix_exp returns wrong results. MatchedZ and Tustin are fine. + static_assert( + !is_zoh_tag::value || N <= 3u, + "Butterworth zeta constructor: ZOH is unreliable for N>=4 due to " + "repeated eigenvalues. Use MatchedZ or TustinPW instead. " + "See https://github.com/MitchellThompkins/constfilt/issues/56"); + } + private: // Computes the continuous-time Butterworth transfer function. static constexpr TransferFunction compute_continuous_tf( @@ -173,6 +184,72 @@ class Butterworth result[i] = poly[N - i].real; } } + + // Normalized Butterworth denominator coefficients for uniform damping + // ratio. Each complex pair contributes a quadratic factor (s^2 + 2*zeta*s + + // 1); an odd-order real pole contributes (s + 1). Pure real arithmetic, no + // complex types. Fills result in descending power order: [1, ..., 1]. + static constexpr void butterworth_poly_coeffs_zeta(T (&result)[N + 1u], + T zeta) + { + // poly[i] holds the coefficient of s^i (ascending order). + T poly[N + 1u]{}; + poly[0] = static_cast(1); + for (consteig::Size pair = 0u; pair < N / 2u; ++pair) + { + const consteig::Size cur = 2u * pair; + for (consteig::Size j = cur + 2u; j > 1u; --j) + { + poly[j] += + static_cast(2) * zeta * poly[j - 1u] + poly[j - 2u]; + } + poly[1] += static_cast(2) * zeta * poly[0]; + } + if (N % 2u == 1u) + { + for (consteig::Size j = N; j > 0u; --j) + { + poly[j] += poly[j - 1u]; + } + } + for (consteig::Size i = 0u; i <= N; ++i) + { + result[i] = poly[N - i]; + } + } + + static constexpr void continuous_tf_zeta(T wc, T zeta, T (&b)[N + 1u], + T (&a)[N + 1u], LowPass) + { + b[N] = gcem::pow(wc, static_cast(N)); + T p[N + 1u]{}; + butterworth_poly_coeffs_zeta(p, zeta); + for (consteig::Size k = 0; k <= N; ++k) + { + a[k] = p[k] * gcem::pow(wc, static_cast(k)); + } + } + + static constexpr void continuous_tf_zeta(T wc, T zeta, T (&b)[N + 1u], + T (&a)[N + 1u], HighPass) + { + b[0] = static_cast(1); + T p[N + 1u]{}; + butterworth_poly_coeffs_zeta(p, zeta); + for (consteig::Size k = 0; k <= N; ++k) + { + a[k] = p[N - k] * gcem::pow(wc, static_cast(k)); + } + } + + static constexpr TransferFunction + compute_continuous_tf_zeta(T cutoff_hz, T zeta) + { + const T wc = static_cast(2) * static_cast(GCEM_PI) * cutoff_hz; + TransferFunction tf{}; + continuous_tf_zeta(wc, zeta, tf.b, tf.a, FilterType{}); + return tf; + } }; // Convenience aliases for first-order RC-equivalent filters. diff --git a/include/constfilt/discretize.hpp b/include/constfilt/discretize.hpp index 666154b..2b4b779 100644 --- a/include/constfilt/discretize.hpp +++ b/include/constfilt/discretize.hpp @@ -61,6 +61,16 @@ template <> struct is_tustinpw_tag static constexpr bool value = true; }; +template struct is_zoh_tag +{ + static constexpr bool value = false; +}; + +template <> struct is_zoh_tag +{ + static constexpr bool value = true; +}; + // Build the method tag from a cutoff frequency. // For TustinPWData, fills in warp_omega = 2*pi*cutoff_hz. // For all other methods, returns a default-constructed tag (cutoff unused). diff --git a/octave/generate_butterworth_tests.m b/octave/generate_butterworth_tests.m index 38de51c..6def52a 100644 --- a/octave/generate_butterworth_tests.m +++ b/octave/generate_butterworth_tests.m @@ -218,6 +218,166 @@ function emit_case(fid, sname, ord, fc, fs, b_d, a_d, y_step, y_imp, u_c, y_c) ord, fc, fs, b_tupw_hp, a_tupw_hp, y_step_tupw_hp, y_imp_tupw_hp, u_c, y_c_tupw_hp); end +% ============================================================================= +% Uniform-zeta cases +% ============================================================================= +% +% Poles at wc*(-zeta +/- j*sqrt(1-zeta^2)) for each conjugate pair. +% Avoids Octave's buttap (which uses classical Butterworth angles) so that the +% Octave reference matches the C++ uniform-zeta constructor exactly. + +% There is no standard Octave signal package function for uniform-zeta +% Butterworth design. buttap() produces classical Butterworth poles with +% evenly spaced angles, which gives a different damping ratio per pair. +% The poles must be constructed manually from zeta as below. +function [b_s, a_s] = uniform_zeta_lp(N, wc, zeta) + omega = sqrt(1 - zeta^2); + poles = []; + for k = 1:floor(N/2) + poles = [poles; wc*(-zeta + 1j*omega); wc*(-zeta - 1j*omega)]; + end + if mod(N,2) == 1; poles = [poles; -wc]; end + [b_s, a_s] = zp2tf([], poles, wc^N); +end + +function [b_s, a_s] = uniform_zeta_hp(N, wc, zeta) + % HP poles via LP-to-HP transformation: wc^2 / p_lp. + % Since |p_lp| = wc and |p_lp|^2 = wc^2, this yields the complex conjugate + % of each LP pole, so re-derive directly. + omega = sqrt(1 - zeta^2); + poles_hp = []; + for k = 1:floor(N/2) + poles_hp = [poles_hp; wc*(-zeta - 1j*omega); wc*(-zeta + 1j*omega)]; + end + if mod(N,2) == 1; poles_hp = [poles_hp; -wc]; end + [b_s, a_s] = zp2tf(zeros(N, 1), poles_hp, 1); +end + +zeta_val = 0.5; +zeta_tag = 'z50'; + +zeta_lp_cases = { + {2, 100, 1000}, + {3, 100, 1000}, + {4, 100, 1000}, + {5, 100, 1000}, + {6, 100, 1000}, + {7, 100, 1000}, + {8, 100, 1000}, +}; + +for ci = 1:length(zeta_lp_cases) + ord = zeta_lp_cases{ci}{1}; + fc = zeta_lp_cases{ci}{2}; + fs = zeta_lp_cases{ci}{3}; + wc = 2 * pi * fc; + + [b_s, a_s] = uniform_zeta_lp(ord, wc, zeta_val); + sys_c = tf(b_s, a_s); + u = ones(1, STEP_LEN); + t_c = (0:CHIRP_LEN-1) / fs; + u_c = chirp(t_c, 0, t_c(end), fs/2); + + % --- ZOH --- + sys_d = c2d(sys_c, 1.0/fs, 'zoh'); + [b_d, a_d] = tfdata(sys_d, 'v'); + while length(b_d) < length(a_d); b_d = [0, b_d]; end + y_step = filter(b_d, a_d, u); + y_imp = filter(b_d, a_d, [1, zeros(1, STEP_LEN-1)]); + y_c = filter(b_d, a_d, u_c); + emit_case(fid, sprintf('case_zeta_%d_%dHz_%dHz_%s', ord, fc, fs, zeta_tag), ... + ord, fc, fs, b_d, a_d, y_step, y_imp, u_c, y_c); + + % --- Matched-Z --- + sys_mz = c2d(sys_c, 1.0/fs, 'matched'); + [b_mz, a_mz] = tfdata(sys_mz, 'v'); + while length(b_mz) < length(a_mz); b_mz = [0, b_mz]; end + y_step_mz = filter(b_mz, a_mz, u); + y_imp_mz = filter(b_mz, a_mz, [1, zeros(1, STEP_LEN-1)]); + y_c_mz = filter(b_mz, a_mz, u_c); + emit_case(fid, sprintf('case_mz_zeta_%d_%dHz_%dHz_%s', ord, fc, fs, zeta_tag), ... + ord, fc, fs, b_mz, a_mz, y_step_mz, y_imp_mz, u_c, y_c_mz); + + % --- TustinNW --- + sys_tu = c2d(sys_c, 1.0/fs, 'tustin'); + [b_tu, a_tu] = tfdata(sys_tu, 'v'); + while length(b_tu) < length(a_tu); b_tu = [0, b_tu]; end + y_step_tu = filter(b_tu, a_tu, u); + y_imp_tu = filter(b_tu, a_tu, [1, zeros(1, STEP_LEN-1)]); + y_c_tu = filter(b_tu, a_tu, u_c); + emit_case(fid, sprintf('case_tu_zeta_%d_%dHz_%dHz_%s', ord, fc, fs, zeta_tag), ... + ord, fc, fs, b_tu, a_tu, y_step_tu, y_imp_tu, u_c, y_c_tu); + + % --- TustinPW --- + sys_tupw = c2d(sys_c, 1.0/fs, 'prewarp', wc); + [b_tupw, a_tupw] = tfdata(sys_tupw, 'v'); + while length(b_tupw) < length(a_tupw); b_tupw = [0, b_tupw]; end + y_step_tupw = filter(b_tupw, a_tupw, u); + y_imp_tupw = filter(b_tupw, a_tupw, [1, zeros(1, STEP_LEN-1)]); + y_c_tupw = filter(b_tupw, a_tupw, u_c); + emit_case(fid, sprintf('case_tupw_zeta_%d_%dHz_%dHz_%s', ord, fc, fs, zeta_tag), ... + ord, fc, fs, b_tupw, a_tupw, y_step_tupw, y_imp_tupw, u_c, y_c_tupw); +end + +zeta_hp_cases = { + {2, 100, 1000}, + {3, 100, 1000}, + {4, 100, 1000}, + {5, 100, 1000}, + {6, 100, 1000}, + {7, 100, 1000}, + {8, 100, 1000}, +}; + +for ci = 1:length(zeta_hp_cases) + ord = zeta_hp_cases{ci}{1}; + fc = zeta_hp_cases{ci}{2}; + fs = zeta_hp_cases{ci}{3}; + wc = 2 * pi * fc; + + [b_s, a_s] = uniform_zeta_hp(ord, wc, zeta_val); + sys_c = tf(b_s, a_s); + u = ones(1, STEP_LEN); + t_c = (0:CHIRP_LEN-1) / fs; + u_c = chirp(t_c, 0, t_c(end), fs/2); + + % --- ZOH --- + sys_d = c2d(sys_c, 1.0/fs, 'zoh'); + [b_d, a_d] = tfdata(sys_d, 'v'); + y_step = filter(b_d, a_d, u); + y_imp = filter(b_d, a_d, [1, zeros(1, STEP_LEN-1)]); + y_c = filter(b_d, a_d, u_c); + emit_case(fid, sprintf('case_hp_zeta_%d_%dHz_%dHz_%s', ord, fc, fs, zeta_tag), ... + ord, fc, fs, b_d, a_d, y_step, y_imp, u_c, y_c); + + % --- Matched-Z --- + sys_mz = c2d(sys_c, 1.0/fs, 'matched'); + [b_mz, a_mz] = tfdata(sys_mz, 'v'); + y_step_mz = filter(b_mz, a_mz, u); + y_imp_mz = filter(b_mz, a_mz, [1, zeros(1, STEP_LEN-1)]); + y_c_mz = filter(b_mz, a_mz, u_c); + emit_case(fid, sprintf('case_mz_hp_zeta_%d_%dHz_%dHz_%s', ord, fc, fs, zeta_tag), ... + ord, fc, fs, b_mz, a_mz, y_step_mz, y_imp_mz, u_c, y_c_mz); + + % --- TustinNW --- + sys_tu = c2d(sys_c, 1.0/fs, 'tustin'); + [b_tu, a_tu] = tfdata(sys_tu, 'v'); + y_step_tu = filter(b_tu, a_tu, u); + y_imp_tu = filter(b_tu, a_tu, [1, zeros(1, STEP_LEN-1)]); + y_c_tu = filter(b_tu, a_tu, u_c); + emit_case(fid, sprintf('case_tu_hp_zeta_%d_%dHz_%dHz_%s', ord, fc, fs, zeta_tag), ... + ord, fc, fs, b_tu, a_tu, y_step_tu, y_imp_tu, u_c, y_c_tu); + + % --- TustinPW --- + sys_tupw = c2d(sys_c, 1.0/fs, 'prewarp', wc); + [b_tupw, a_tupw] = tfdata(sys_tupw, 'v'); + y_step_tupw = filter(b_tupw, a_tupw, u); + y_imp_tupw = filter(b_tupw, a_tupw, [1, zeros(1, STEP_LEN-1)]); + y_c_tupw = filter(b_tupw, a_tupw, u_c); + emit_case(fid, sprintf('case_tupw_hp_zeta_%d_%dHz_%dHz_%s', ord, fc, fs, zeta_tag), ... + ord, fc, fs, b_tupw, a_tupw, y_step_tupw, y_imp_tupw, u_c, y_c_tupw); +end + fprintf(fid, '} // namespace bw_ref\n\n'); fprintf(fid, '#endif // CONSTFILT_BUTTERWORTH_REFERENCE_HPP\n'); fclose(fid); diff --git a/tests/butterworth.test.cpp b/tests/butterworth.test.cpp index e87d6cb..88d525f 100644 --- a/tests/butterworth.test.cpp +++ b/tests/butterworth.test.cpp @@ -332,3 +332,225 @@ FULL_MATRIX(FirstOrderLowPassDefault, case_tupw_1_100Hz_1000Hz, FULL_MATRIX(FirstOrderHighPassDefault, case_tupw_hp_1_100Hz_1000Hz, constfilt::FirstOrderHighPass(100.0, 1000.0)) + +// ============================================================================= +// Butterworth uniform-zeta low-pass, ZOH discretization +// +// N>=4 with uniform zeta produces repeated complex eigenvalue pairs. consteig's +// QR iteration cannot split the resulting 2x2 blocks, so ZOH is tested only +// for N<=3 here. MatchedZ and Tustin cover N=4,5 below. +// ============================================================================= + +FULL_MATRIX(ButterworthZetaLP, case_zeta_2_100Hz_1000Hz_z50, + constfilt::Butterworth(100.0, 1000.0, + 0.5)) + +FULL_MATRIX(ButterworthZetaLP, case_zeta_3_100Hz_1000Hz_z50, + constfilt::Butterworth(100.0, 1000.0, + 0.5)) + +// ============================================================================= +// Butterworth uniform-zeta low-pass, Matched-Z discretization +// ============================================================================= + +FULL_MATRIX(ButterworthZetaMatchedZ, case_mz_zeta_2_100Hz_1000Hz_z50, + constfilt::Butterworth(100.0, + 1000.0, 0.5)) + +FULL_MATRIX(ButterworthZetaMatchedZ, case_mz_zeta_3_100Hz_1000Hz_z50, + constfilt::Butterworth(100.0, + 1000.0, 0.5)) + +FULL_MATRIX(ButterworthZetaMatchedZ, case_mz_zeta_4_100Hz_1000Hz_z50, + constfilt::Butterworth(100.0, + 1000.0, 0.5)) + +FULL_MATRIX(ButterworthZetaMatchedZ, case_mz_zeta_5_100Hz_1000Hz_z50, + constfilt::Butterworth(100.0, + 1000.0, 0.5)) + +FULL_MATRIX(ButterworthZetaMatchedZ, case_mz_zeta_6_100Hz_1000Hz_z50, + constfilt::Butterworth(100.0, + 1000.0, 0.5)) + +FULL_MATRIX(ButterworthZetaMatchedZ, case_mz_zeta_7_100Hz_1000Hz_z50, + constfilt::Butterworth(100.0, + 1000.0, 0.5)) + +FULL_MATRIX(ButterworthZetaMatchedZ, case_mz_zeta_8_100Hz_1000Hz_z50, + constfilt::Butterworth(100.0, + 1000.0, 0.5)) + +// ============================================================================= +// Butterworth uniform-zeta low-pass, TustinNW discretization +// ============================================================================= + +FULL_MATRIX(ButterworthZetaTustin, case_tu_zeta_2_100Hz_1000Hz_z50, + constfilt::Butterworth(100.0, + 1000.0, 0.5)) + +FULL_MATRIX(ButterworthZetaTustin, case_tu_zeta_3_100Hz_1000Hz_z50, + constfilt::Butterworth(100.0, + 1000.0, 0.5)) + +FULL_MATRIX(ButterworthZetaTustin, case_tu_zeta_4_100Hz_1000Hz_z50, + constfilt::Butterworth(100.0, + 1000.0, 0.5)) + +FULL_MATRIX(ButterworthZetaTustin, case_tu_zeta_5_100Hz_1000Hz_z50, + constfilt::Butterworth(100.0, + 1000.0, 0.5)) + +FULL_MATRIX(ButterworthZetaTustin, case_tu_zeta_6_100Hz_1000Hz_z50, + constfilt::Butterworth(100.0, + 1000.0, 0.5)) + +FULL_MATRIX(ButterworthZetaTustin, case_tu_zeta_7_100Hz_1000Hz_z50, + constfilt::Butterworth(100.0, + 1000.0, 0.5)) + +FULL_MATRIX(ButterworthZetaTustin, case_tu_zeta_8_100Hz_1000Hz_z50, + constfilt::Butterworth(100.0, + 1000.0, 0.5)) + +// ============================================================================= +// Butterworth uniform-zeta low-pass, TustinPW discretization +// ============================================================================= + +FULL_MATRIX(ButterworthZetaTustinPW, case_tupw_zeta_2_100Hz_1000Hz_z50, + constfilt::Butterworth(100.0, + 1000.0, 0.5)) + +FULL_MATRIX(ButterworthZetaTustinPW, case_tupw_zeta_3_100Hz_1000Hz_z50, + constfilt::Butterworth(100.0, + 1000.0, 0.5)) + +FULL_MATRIX(ButterworthZetaTustinPW, case_tupw_zeta_4_100Hz_1000Hz_z50, + constfilt::Butterworth(100.0, + 1000.0, 0.5)) + +FULL_MATRIX(ButterworthZetaTustinPW, case_tupw_zeta_5_100Hz_1000Hz_z50, + constfilt::Butterworth(100.0, + 1000.0, 0.5)) + +FULL_MATRIX(ButterworthZetaTustinPW, case_tupw_zeta_6_100Hz_1000Hz_z50, + constfilt::Butterworth(100.0, + 1000.0, 0.5)) + +FULL_MATRIX(ButterworthZetaTustinPW, case_tupw_zeta_7_100Hz_1000Hz_z50, + constfilt::Butterworth(100.0, + 1000.0, 0.5)) + +FULL_MATRIX(ButterworthZetaTustinPW, case_tupw_zeta_8_100Hz_1000Hz_z50, + constfilt::Butterworth(100.0, + 1000.0, 0.5)) + +// ============================================================================= +// Butterworth uniform-zeta high-pass, ZOH discretization +// +// Same repeated-eigenvalue limitation as LP: tested only for N<=3. +// ============================================================================= + +FULL_MATRIX(ButterworthZetaHP, case_hp_zeta_2_100Hz_1000Hz_z50, + constfilt::Butterworth(100.0, 1000.0, 0.5)) + +FULL_MATRIX(ButterworthZetaHP, case_hp_zeta_3_100Hz_1000Hz_z50, + constfilt::Butterworth(100.0, 1000.0, 0.5)) + +// ============================================================================= +// Butterworth uniform-zeta high-pass, Matched-Z discretization +// ============================================================================= + +FULL_MATRIX(ButterworthZetaMatchedZHP, case_mz_hp_zeta_2_100Hz_1000Hz_z50, + constfilt::Butterworth(100.0, 1000.0, 0.5)) + +FULL_MATRIX(ButterworthZetaMatchedZHP, case_mz_hp_zeta_3_100Hz_1000Hz_z50, + constfilt::Butterworth(100.0, 1000.0, 0.5)) + +FULL_MATRIX(ButterworthZetaMatchedZHP, case_mz_hp_zeta_4_100Hz_1000Hz_z50, + constfilt::Butterworth(100.0, 1000.0, 0.5)) + +FULL_MATRIX(ButterworthZetaMatchedZHP, case_mz_hp_zeta_5_100Hz_1000Hz_z50, + constfilt::Butterworth(100.0, 1000.0, 0.5)) + +FULL_MATRIX(ButterworthZetaMatchedZHP, case_mz_hp_zeta_6_100Hz_1000Hz_z50, + constfilt::Butterworth(100.0, 1000.0, 0.5)) + +FULL_MATRIX(ButterworthZetaMatchedZHP, case_mz_hp_zeta_7_100Hz_1000Hz_z50, + constfilt::Butterworth(100.0, 1000.0, 0.5)) + +FULL_MATRIX(ButterworthZetaMatchedZHP, case_mz_hp_zeta_8_100Hz_1000Hz_z50, + constfilt::Butterworth(100.0, 1000.0, 0.5)) + +// ============================================================================= +// Butterworth uniform-zeta high-pass, TustinNW discretization +// ============================================================================= + +FULL_MATRIX(ButterworthZetaTustinHP, case_tu_hp_zeta_2_100Hz_1000Hz_z50, + constfilt::Butterworth(100.0, 1000.0, 0.5)) + +FULL_MATRIX(ButterworthZetaTustinHP, case_tu_hp_zeta_3_100Hz_1000Hz_z50, + constfilt::Butterworth(100.0, 1000.0, 0.5)) + +FULL_MATRIX(ButterworthZetaTustinHP, case_tu_hp_zeta_4_100Hz_1000Hz_z50, + constfilt::Butterworth(100.0, 1000.0, 0.5)) + +FULL_MATRIX(ButterworthZetaTustinHP, case_tu_hp_zeta_5_100Hz_1000Hz_z50, + constfilt::Butterworth(100.0, 1000.0, 0.5)) + +FULL_MATRIX(ButterworthZetaTustinHP, case_tu_hp_zeta_6_100Hz_1000Hz_z50, + constfilt::Butterworth(100.0, 1000.0, 0.5)) + +FULL_MATRIX(ButterworthZetaTustinHP, case_tu_hp_zeta_7_100Hz_1000Hz_z50, + constfilt::Butterworth(100.0, 1000.0, 0.5)) + +FULL_MATRIX(ButterworthZetaTustinHP, case_tu_hp_zeta_8_100Hz_1000Hz_z50, + constfilt::Butterworth(100.0, 1000.0, 0.5)) + +// ============================================================================= +// Butterworth uniform-zeta high-pass, TustinPW discretization +// ============================================================================= + +FULL_MATRIX(ButterworthZetaTustinPWHP, case_tupw_hp_zeta_2_100Hz_1000Hz_z50, + constfilt::Butterworth(100.0, 1000.0, 0.5)) + +FULL_MATRIX(ButterworthZetaTustinPWHP, case_tupw_hp_zeta_3_100Hz_1000Hz_z50, + constfilt::Butterworth(100.0, 1000.0, 0.5)) + +FULL_MATRIX(ButterworthZetaTustinPWHP, case_tupw_hp_zeta_4_100Hz_1000Hz_z50, + constfilt::Butterworth(100.0, 1000.0, 0.5)) + +FULL_MATRIX(ButterworthZetaTustinPWHP, case_tupw_hp_zeta_5_100Hz_1000Hz_z50, + constfilt::Butterworth(100.0, 1000.0, 0.5)) + +FULL_MATRIX(ButterworthZetaTustinPWHP, case_tupw_hp_zeta_6_100Hz_1000Hz_z50, + constfilt::Butterworth(100.0, 1000.0, 0.5)) + +FULL_MATRIX(ButterworthZetaTustinPWHP, case_tupw_hp_zeta_7_100Hz_1000Hz_z50, + constfilt::Butterworth(100.0, 1000.0, 0.5)) + +FULL_MATRIX(ButterworthZetaTustinPWHP, case_tupw_hp_zeta_8_100Hz_1000Hz_z50, + constfilt::Butterworth(100.0, 1000.0, 0.5)) diff --git a/tests/butterworth_reference.hpp b/tests/butterworth_reference.hpp index a51348b..b03a7f6 100644 --- a/tests/butterworth_reference.hpp +++ b/tests/butterworth_reference.hpp @@ -1015,6 +1015,790 @@ struct case_tupw_hp_3_200Hz_4000Hz static constexpr double chirp[4096] = {0.72944072263908222, 0.27287988652173167, -0.03006786424152319, -0.20975080527183221, -0.29476723370218516, -0.3111243125711487, -0.28153679405022503, -0.22497103369026228, -0.15646789115202653, -0.087228906336672796, -0.024919958349372995, 0.02586831394250011, 0.063067443855123528, 0.086544846512993878, 0.097533996524450828, 0.09811850459236604, 0.090794705797350495, 0.078125414057543141, 0.062487315083716188, 0.045906548140571157, 0.029971501703516812, 0.015808597381401612, 0.0041055639735426697, -0.0048329855527702303, -0.011011397747973439, -0.014661768754327342, -0.016164647000743382, -0.015977999961344191, -0.014578357408862042, -0.012415936164216101, -0.0098838625621245901, -0.0073003677687865087, -0.0049020215858165406, -0.0028456444735691644, -0.001216427864465297, -3.9923486309212386e-05, 0.00070414244384608971, 0.0010678840209012996, 0.0011223266823457978, 0.00094634477971866637, 0.00061790165595365654, 0.0002077168527849782, -0.00022475366758978321, -0.00063330368683411908, -0.00098530612437874865, -0.0012608019793940439, -0.0014507587972649727, -0.0015548692663746033, -0.0015792003210308714, -0.0015339327200413755, -0.0014313591759466116, -0.0012842422173922063, -0.001104575406324193, -0.00090274568292253443, -0.00068706122507511402, -0.00046358777903054982, -0.00023622555915975285, -6.956617329606507e-06, 0.0002238030869012031, 0.00045680394083438824, 0.00069356105125439882, 0.00093598442681913641, 0.0011860629507733783, 0.0014456136934112573, 0.0017160995055337746, 0.0019985112919369413, 0.0022933068905740261, 0.0026003959050517195, 0.0029191588678977032, 0.0032484894024619182, 0.0035868492413282382, 0.0039323277078315844, 0.0042826992776732187, 0.004635474869787104, 0.0049879443918367516, 0.0053372096689499604, 0.0056802081516471037, 0.006013728712622457, 0.0063344214187721626, 0.0066388034450088895, 0.0069232633345028827, 0.0071840656658843649, 0.0074173579207257312, 0.0076191810073815702, 0.0077854845344359491, 0.0079121475728077817, 0.0079950053237533014, 0.0080298818347742662, 0.0080126286826931459, 0.0079391693721907464, 0.0078055490736029798, 0.0076079892373027702, 0.0073429465637939728, 0.0070071757686934744, 0.006597795550876917, 0.0061123571424275269, 0.0055489147846335962, 0.0049060974311039285, 0.0041831809248653595, 0.0033801598306357761, 0.002497818027232479, 0.0015377970804083541, 0.00050266132625492732, -0.00060404149682924402, -0.0017777253198639764, -0.0030127178552967204, -0.0043022211603784277, -0.0056382821236566349, -0.0070117743894619056, -0.0084123932573874211, -0.009828665091463934, -0.011247972744020724, -0.012656598439268862, -0.014039785468751037, -0.015381819922845263, -0.016666133517298565, -0.017875428369818758, -0.018991824337761753, -0.019997029243257691, -0.020872531986561638, -0.021599818182639119, -0.022160607551240163, -0.022537111849324054, -0.022712311659884632, -0.022670249847207891, -0.022396338960944062, -0.021877679326694155, -0.0211033840070316, -0.020064906263244864, -0.018756364605027498, -0.01717485999459667, -0.015320779286124409, -0.013198078544827907, -0.010814539517367106, -0.0081819922318046023, -0.005316496507254409, -0.0022384750665274122, 0.0010272090145067581, 0.0044512376040315438, 0.0079998923010369816, 0.01163518494483548, 0.015315069389303632, 0.018993739203149507, 0.022622014881368911, 0.026147822879529312, 0.02951676731358524, 0.032672793509697873, 0.035558940753104229, 0.038118179588906287, 0.040294326893924148, 0.042033029696343815, 0.043282806403760143, 0.043996131752082501, 0.044130549454895918, 0.043649794268696418, 0.042524903052508556, 0.040735292453915384, 0.038269779164243234, 0.035127517322854906, 0.031318826684548773, 0.026865884664760253, 0.021803255412099709, 0.016178229689839729, 0.010050950633805344, 0.0034943024414539336, -0.0034064582279362265, -0.010554344876344934, -0.017841570295033776, -0.025150769671187276, -0.032356519416045532, -0.039327147058618714, -0.045926820560573733, -0.052017897933661295, -0.057463510209246282, -0.0621303427745728, -0.06589157202986029, -0.068629906435334731, -0.070240673527622977, -0.070634887627640586, -0.069742226985659572, -0.0675138442682095, -0.063924930841168015, -0.058976953491116757, -0.052699482285600618, -0.045151530410995844, -0.036422331220389514, -0.026631484507323777, -0.01592841327738731, -0.0044910840414978948, 0.0074760421430272728, 0.019744844125178795, 0.03206715818785362, 0.044179155729468622, 0.055806436209294055, 0.066669767489583698, 0.076491382267404429, 0.085001716005458916, 0.091946449331046565, 0.097093697016855329, 0.10024116716427411, 0.10122309887499448, 0.099916775309676575, 0.096248402351702178, 0.090198141818691679, 0.081804092904564363, 0.071165026781309426, 0.058441697383560975, 0.04385657650343211, 0.027691893395538736, 0.010285897862837734, -0.0079726892534618399, -0.026652023895303023, -0.045286215901545981, -0.063386008580411643, -0.08045087454863481, -0.095982282498972227, -0.10949783256400353, -0.12054590518180963, -0.12872042199954303, -0.13367527955134761, -0.13513798933630772, -0.13292204347779601, -0.12693752511905876, -0.11719949853608558, -0.10383374665998146, -0.08707947384282555, -0.067288659258204153, 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0.23461244549007709, 0.21084711867082939, 0.17755159098930096, 0.13585035300770065, 0.087279637426412371, 0.033738433764213677, -0.022579557423296263, -0.079271053941160102, -0.13382249004141272, -0.18371970024762491, -0.22656345626685748, -0.26018573953071422, -0.28276125431359178, -0.29290855150211004, -0.28977526714138246, -0.27310239754541543, -0.24326323535176297, -0.20127356507868915, -0.14877093384887757, -0.08796222912802143, -0.021540352503843313, 0.047427593789102801, 0.11563657292130491, 0.17969877559651737, 0.23631078458644894, 0.28242478136685378, 0.31541511671427158, 0.33323126370005762, 0.33452833066619203, 0.31876695992644966, 0.28627557640662038, 0.23826955308372905, 0.17682387241484659, 0.1047982027591208, 0.025715868509938497, -0.056399156650011162, -0.13722050684603565, -0.21234381447941458, -0.27752608653956345, -0.32892739294682005, -0.36334129712753527, -0.37840029193446523, -0.37274312868453108, -0.34613236373845313, -0.29951266848921099, -0.23500337786825654, 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0.92906164260094548, -0.8302821496414835, 0.69479145409352383, -0.52899381213865082, 0.34051705391332243, -0.13784618739755733, -0.070068987016836864, 0.27421397268510106, -0.46589959831652444, 0.6371254348304175, -0.78090199347866551, 0.89151954501234276, -0.9647542515505203, 0.99800540477688648, -0.99036076696426956, 0.94259017120241262, -0.85707052163706499, 0.7376480273558581, -0.58944580873357877, 0.41862685950038808, -0.23212368269629083, 0.037346719844174543, 0.15811604020731251, -0.34679613145381866, 0.52162693460722265, -0.67620095852667783, 0.8049932547108668, -0.90354387498828104, 0.96859419550817982, -0.99817393549106803, 0.99163771342127316, -0.94965192814941291, 0.8741345577279217, -0.76815207493141446, 0.63577903731136021, -0.48192698614001422, 0.31215006069341128, -0.13243519302017603, -0.051015103102867602, 0.23199948222729444, -0.40452660743794788, 0.5630092882165233, -0.70243797934489849, 0.8185287161904059, -0.90784168400129994, 0.96786780505086656, -0.99708193220322971, 0.99496241815928399, -0.96197794747890975, 0.89954353985941482, -0.80994853008272027, 0.69626008098496017, -0.56220637568230325, 0.41204405556199497, -0.25041471904609069, 0.082195376452819713, 0.087652322606954561, -0.25422949757624502, 0.41283984261315315, -0.55911805306591322, 0.68914364475617385, -0.79953755019555328, 0.8875395281870897, -0.95106509312194931, 0.98874133608425474, -0.9999216517525561, 0.98467998571822024, -0.94378576111286105, 0.87866111951722448, -0.79132250983407315, 0.68430897421185755, -0.56059970908433288, 0.42352362162996754, -0.27666365977790153, 0.12375867171232489, 0.031394544790022426, -0.18503650394291662, 0.33353532245144946, -0.47347002031615337, 0.60170511224561185, -0.71545509375253391, 0.81233776414399661, -0.8904156710590565, 0.94822529864499394, -0.98479394544021981, 0.9996445411714765, -0.99278892778993333, 0.96471037414495509, -0.91633630200746641, 0.84900237120739419, -0.76440920216782593, 0.6645731048861071, -0.55177223530502406, 0.42848961481548437, -0.29735442881221141, 0.1610829690314699, -0.022420505481542972, -0.11591472877287541, 0.25128437869042208, -0.38117870984538804, 0.50326047580451427, -0.61540328756200458, 0.71572401868672941, -0.80260893495937236, 0.87473338760970298, -0.93107505198948604, 0.9709208260570078, -0.99386762331681155, 0.999817401268005, -0.98896685780586735, 0.96179230367100366, -0.91903027865303166, 0.86165452289692068, -0.79084994275157405, 0.70798422386483739, -0.61457774361482431, 0.51227242167768605, -0.40280012289881839, 0.28795119210272513, -0.16954365757527756, 0.049393590277556257, 0.070712949095670385, -0.18904600174660546, 0.30395552853947999, -0.41389270318796956, 0.51742849157916293, -0.61326938793795893, 0.70027023601467198, -0.77744411763263155, 0.84396934101384591, -0.89919360677713545, 0.94263546998987968, -0.97398325174976985, 0.99309158343439541, -0.99997579090511746, 0.994804344622369, -0.97788961503290905, 0.94967718092804143, -0.9107339420864885, 0.86173528675269906, -0.80345155977086347, 0.73673406896339377, -0.66250085601972264, 0.58172244427887176, -0.49540775974133888, 0.40459040396827539, -0.31031543860435029, 0.21362682152208262, -0.11555561444956254, 0.017109061736283113, 0.080739379996383601, -0.17705900099320343, 0.27096974451619915, -0.36164903577907964, 0.44833752583437725, -0.53034375761267061, 0.60704777494259288, -0.67790370749084772, 0.74244137516490738, -0.80026696457774771, 0.85106283767967761, -0.89458653871177485, 0.93066907022829748, -0.95921251217407943, 0.98018705998130851, -0.99362755841900541, 0.99962960765166886, -0.99834531671078652, 0.98997877747178054, -0.97478132937815465, 0.9530466816855685, -0.92510595599379097, 0.8913227074215303, -0.85208797805826753, 0.80781543137326628, -0.75893661118217681, 0.70589636362738306, -0.64914845552984479, 0.58915141740894228, -0.52636463458354099, 0.46124470505851739, -0.39424207839216924, 0.32579798555606976, -0.25634166582310869, 0.18628789308613253, -0.11603480075312866, 0.045962001282439532, 0.023571006152856042, -0.092226148741738942, 0.15968782476478821, -0.22566369249266849, 0.28988521729861494, -0.35210799202804582, 0.4121118465285824, -0.46970076291172119, 0.52470261338633928, -0.57696873769271584, 0.62637337714380381, -0.67281298201050266, 0.71620540870646054, -0.75648902266094886, 0.79362172219038452, -0.82757989803002308, 0.85835734231097593, -0.88596412005074654, 0.91042541527454635, -0.93178036298595135, 0.9500808773298991, -0.96539048530512228, 0.97778317448125085, -0.9873422622815754, 0.99415929346723098, -0.99833297162087786, 0.99996812959923076, -0.99917474311262899, 0.99606699087492434, -0.99076236403156925, 0.98338082694277351, -0.9740440307780337, 0.96287458082522159, -0.94999535791063927, 0.93552889385535343, -0.91959680050590686, 0.90231925147402436, -0.88381451543193346, 0.86419853952593462, -0.84358458120684376, 0.82208288661733242, -0.79980041348281561, 0.77684059633083102, -0.7533031517895673, 0.72928392159631794, -0.70487475094699625, 0.68016339979905494, -0.65523348469465437, 0.63016444873840305, -0.60503155738794212, 0.57990591774485178, -0.55485451912829831, 0.52994029275469079, -0.5052221884482393, 0.4807552664097296, -0.45659080210313513, 0.43277640250462146, -0.40935613198186227, 0.38637064620478562, -0.36385733263117576, 0.34185045610495435, -0.32038130831782219, 0.29947835993949345, -0.2791674142731263, 0.25947176147258988, -0.24041233237640569, 0.2220078511104136, -0.20427498575870165, 0.18722849635161498, -0.17088137961173219, 0.15524500993034102, -0.14032927604128442, 0.12614271304342023, -0.11269262935745306, 0.099985228319175487, -0.088025724166545166, 0.076818452136559218, -0.066366972508089539, 0.056674168468947399, -0.047742337584945588, 0.039573276842705736, -0.032168361161765371, 0.025528615253736224, -0.019654778890669022, 0.014547365421731025, -0.010206713577106525, 0.006633032557410809, -0.0038264403235635418, 0.001786995152541603, -0.00051472041408192237, 9.6225659191344764e-06}; }; +struct case_zeta_2_100Hz_1000Hz_z50 +{ + static constexpr int order = 2; + static constexpr double cutoff_hz = 100.0; + static constexpr double sample_rate_hz = 1000.0; + + static constexpr double b[3] = {0, 0.15678154198772049, 0.12688103331610698}; + static constexpr double a[3] = {1, -1.2498255157872755, 0.53348809109110307}; + static constexpr double step[256] = {0, 0.15678154198772049, 0.47961214688455461, 0.79945298860830993, 1.0269719504333406, 1.1406996741435171, 1.1614608284578363, 1.1267362626307909, 1.0722607856515205, 1.022701086875184, 0.98982212901473554, 0.97516867764349024, 0.97439495269139531, 0.98124537330400763, 0.99021997682724838, 0.99778204748887545, 1.0024454722520499, 1.0042396648700525, 1.003994211009416, 1.0027302561166163, 1.0012814797523528, 1.0001450669686118, 0.9994976542120142, 0.99929476391626193, 0.99938657344339021, 0.99960955888956948, 0.99983927250048188, 1.0000074143527005, 1.0000950128540917, 1.0001147940205029, 1.0000927842697256, 1.0000547229048999, 1.0000188947799027, 0.9999944211599634, 0.99998294728331172, 0.99998166332429106, 0.99998617977609805, 0.99999250952965424, 0.99999801114390441, 1.0000015103536306, 1.0000029487095472, 1.0000028796167555, 1.0000020259170692, 1.0000009958016001, 1.0000001637756184, 0.99999967344265195, 0.99999950448795194, 0.99999955491085513, 0.99999970806600635, 0.99999987258320422, 0.99999999649454652, 1.000000063594138, 1.0000000813516938, 1.0000000677487075, 1.0000000412739034, 1.000000015442049, 0.99999999728073075, 0.99999998836323867, 0.99999998690677661, 0.99999998984382898, 0.99999999429163711, 0.99999999828373864, 1.0000000009003163, 1.0000000020408433, 1.0000000020703901, 1.0000000014988606, 1.0000000007687857, 1.0000000001612237, 0.99999999979136334, 0.99999999965322961, 0.99999999967790276, 0.99999999978243248, 0.99999999989991362, 0.99999999999097899, 1.0000000000421201, 1.0000000000574554, 1.0000000000493385, 1.0000000000310127, 1.0000000000124389, 0.99999999999900147, 0.99999999999211608, 0.99999999999067923, 0.99999999999255662, 0.99999999999566946, 0.99999999999855849, 1.0000000000005085, 1.0000000000014044, 1.0000000000014839, 1.0000000000011053, 1.0000000000005898, 1.0000000000001474, 0.99999999999986966, 0.99999999999975842, 0.99999999999976752, 0.99999999999983813, 0.99999999999992162, 0.99999999999998845, 1.0000000000000273, 1.0000000000000402, 1.0000000000000355, 1.0000000000000229, 1.0000000000000095, 0.99999999999999978, 0.99999999999999467, 0.99999999999999334, 0.99999999999999467, 0.99999999999999689, 0.99999999999999911, 1.0000000000000004, 1.0000000000000009, 1.0000000000000009, 1.0000000000000007, 1.0000000000000004, 1, 0.99999999999999978, 0.99999999999999978, 0.99999999999999978, 0.99999999999999978, 0.99999999999999978, 0.99999999999999978, 0.99999999999999978, 0.99999999999999978, 0.99999999999999978, 0.99999999999999978, 0.99999999999999978, 0.99999999999999978, 0.99999999999999978, 0.99999999999999978, 0.99999999999999978, 0.99999999999999978, 0.99999999999999978, 0.99999999999999978, 0.99999999999999978, 0.99999999999999978, 0.99999999999999978, 0.99999999999999978, 0.99999999999999978, 0.99999999999999978, 0.99999999999999978, 0.99999999999999978, 0.99999999999999978, 0.99999999999999978, 0.99999999999999978, 0.99999999999999978, 0.99999999999999978, 0.99999999999999978, 0.99999999999999978, 0.99999999999999978, 0.99999999999999978, 0.99999999999999978, 0.99999999999999978, 0.99999999999999978, 0.99999999999999978, 0.99999999999999978, 0.99999999999999978, 0.99999999999999978, 0.99999999999999978, 0.99999999999999978, 0.99999999999999978, 0.99999999999999978, 0.99999999999999978, 0.99999999999999978, 0.99999999999999978, 0.99999999999999978, 0.99999999999999978, 0.99999999999999978, 0.99999999999999978, 0.99999999999999978, 0.99999999999999978, 0.99999999999999978, 0.99999999999999978, 0.99999999999999978, 0.99999999999999978, 0.99999999999999978, 0.99999999999999978, 0.99999999999999978, 0.99999999999999978, 0.99999999999999978, 0.99999999999999978, 0.99999999999999978, 0.99999999999999978, 0.99999999999999978, 0.99999999999999978, 0.99999999999999978, 0.99999999999999978, 0.99999999999999978, 0.99999999999999978, 0.99999999999999978, 0.99999999999999978, 0.99999999999999978, 0.99999999999999978, 0.99999999999999978, 0.99999999999999978, 0.99999999999999978, 0.99999999999999978, 0.99999999999999978, 0.99999999999999978, 0.99999999999999978, 0.99999999999999978, 0.99999999999999978, 0.99999999999999978, 0.99999999999999978, 0.99999999999999978, 0.99999999999999978, 0.99999999999999978, 0.99999999999999978, 0.99999999999999978, 0.99999999999999978, 0.99999999999999978, 0.99999999999999978, 0.99999999999999978, 0.99999999999999978, 0.99999999999999978, 0.99999999999999978, 0.99999999999999978, 0.99999999999999978, 0.99999999999999978, 0.99999999999999978, 0.99999999999999978, 0.99999999999999978, 0.99999999999999978, 0.99999999999999978, 0.99999999999999978, 0.99999999999999978, 0.99999999999999978, 0.99999999999999978, 0.99999999999999978, 0.99999999999999978, 0.99999999999999978, 0.99999999999999978, 0.99999999999999978, 0.99999999999999978, 0.99999999999999978, 0.99999999999999978, 0.99999999999999978, 0.99999999999999978, 0.99999999999999978, 0.99999999999999978, 0.99999999999999978, 0.99999999999999978, 0.99999999999999978, 0.99999999999999978, 0.99999999999999978, 0.99999999999999978, 0.99999999999999978, 0.99999999999999978, 0.99999999999999978, 0.99999999999999978, 0.99999999999999978, 0.99999999999999978, 0.99999999999999978, 0.99999999999999978, 0.99999999999999978, 0.99999999999999978, 0.99999999999999978, 0.99999999999999978}; + static constexpr double impulse[256] = {0, 0.15678154198772049, 0.32283060489683413, 0.31984084172375526, 0.22751896182503065, 0.11372772371017653, 0.020761154314318991, -0.0347245658270455, -0.054475476979270201, -0.049559698776336383, -0.032878957860448435, -0.014653451371245293, -0.0007737249520949549, 0.006850420612612396, 0.0089746035232407644, 0.0075620706616269569, 0.0046634247631745316, 0.001794192618002362, -0.00024545386063643589, -0.0012639548927997402, -0.0014487763642634121, -0.0011364127837409396, -0.00064741275659747715, -0.00020289029575222333, 9.1809527128461636e-05, 0.0002229854461792784, 0.00022971361091233254, 0.00016814185221858239, 8.7598501391252935e-05, 1.9781166410901192e-05, -2.2009750777282353e-05, -3.8061364825673429e-05, -3.5828124997251681e-05, -2.4473619939210489e-05, -1.1473876651548266e-05, -1.2839590206423279e-06, 4.5164518070252391e-06, 6.3297535562053695e-06, 5.5016142501558598e-06, 3.4992097260865492e-06, 1.4383559165187122e-06, -6.9092791848655761e-08, -8.5369968642259077e-07, -1.0301154692790556e-06, -8.3202598163748594e-07, -4.9033296633938581e-07, -1.689546998806441e-07, 5.0422903288426676e-08, 1.5315515143014484e-07, 1.64517197709045e-07, 1.2391134210534755e-07, 6.7099591301253552e-08, 1.7757555942886127e-08, -1.3602986360859886e-08, -2.6474804067122776e-08, -2.5831854421765328e-08, -1.8161318092644363e-08, -8.9174920477051663e-09, -1.4564621771088833e-09, 2.9370522181205529e-09, 4.4478080300188919e-09, 3.992101583961123e-09, 2.6165778057749521e-09, 1.1405270522310284e-09, 2.9546712529759842e-11, -5.7152936470516869e-10, -7.3007480229573052e-10, -6.0756200656348329e-10, -3.6986028559549387e-10, -1.381337271125842e-10, 2.467300099664591e-11, 1.0452964458924482e-10, 1.1748106476062399e-10, 9.106551180533754e-11, 5.1141251284042664e-11, 1.5335274706821447e-11, -8.1168309033416703e-12, -1.8325808800026948e-11, -1.8573830811379651e-11, -1.3437446919551246e-11, -6.8855464832802301e-12, -1.4370137786935572e-12, 1.8773405623351302e-12, 3.1129778742957166e-12, 2.8891403444479538e-12, 1.9501846974146292e-12, 8.9606862807285991e-13, 7.9529123763147552e-14, -3.7864441374982771e-13, -5.1566729013739865e-13, -4.4249185137689557e-13, -2.7793524812527219e-13, -1.1130643172920462e-13, 9.1615265228891922e-15, 7.0830965401244352e-14, 8.3638782570144223e-14, 6.6746408043500475e-14, 3.8801069405385875e-14, 1.2886152768369361e-14, -4.5944659191318489e-15, -1.2616889779051725e-14, -1.3317817922953746e-14, -9.9139882109835332e-15, -5.2858581680859897e-15, -1.3174057655291508e-15, 1.1734150434669081e-15, 2.1693843489781366e-15, 2.0853489613056978e-15, 1.4489816259810915e-15, 6.9846537143231161e-16, 9.9945401439204656e-17, -2.4770864479434192e-16, -3.6291226617219071e-16, -3.2142739819608968e-16, -2.0811879162484145e-16, -8.8634486999530227e-17, 2.5125343339527347e-19, 4.7599466226205142e-17, 5.9356986712803719e-17, 4.879212815993476e-17, 2.9315401209515692e-17, 1.0609117124877824e-17, -2.3798721481862967e-18, -8.6342625782277115e-18, -9.5216882308994302e-18, -7.2941726435114629e-18, -4.0367358081509896e-18, -1.1538611738433995e-18, 7.1142534378383457e-19, 1.5047287422566253e-18, 1.5011114278017555e-18, 1.0733725001900992e-18, 5.4070326854896948e-19, 1.0315329534598083e-19, -1.5953513402396215e-19, -2.5442213579157472e-19, -2.3287318298099829e-19, -1.5531966647748218e-19, -6.9887412412284841e-20, -4.4858788872431854e-21, 3.1677536345118538e-20, 4.1984556165829191e-20, 3.5573781169830982e-20, 2.206275867487226e-20, 8.5964101313266527e-21, -1.0262062833569815e-21, -5.868661228598457e-21, -6.7873337158400414e-21, -5.3521219861147857e-21, -3.0682569141905422e-21, -9.794924386869687e-22, 4.1268388173691367e-22, 1.0383303967022134e-21, 1.0775698873240576e-21, 7.9283743896309503e-22, 4.1603775888174632e-22, 9.7005274723380239e-23, -1.0071152229240841e-22, -1.7762298913277519e-22, -1.6826934622989233e-22, -1.1554757303662285e-22, -5.4644612759131886e-23, -6.6529771571602081e-24, 2.0837189542313085e-23, 2.9592135250924788e-23, 2.5868613230601785e-23, 1.6544201127312812e-23, 6.8767676156643603e-24, -2.3137464584044502e-25, -3.9578515642355282e-24, -4.8231882545438453e-24, -3.9166770721484424e-24, -2.3220494469804978e-24, -8.1265607311519565e-25, 2.2310743114991605e-25, 7.1238769737273551e-25, 7.7133516375698024e-25, 5.839840160992633e-25, 3.1838000002863161e-25, 8.63709297756253e-26, -6.1903346601012572e-26, -1.2344624454633108e-25, -1.2126156805179526e-25, -8.5698700480121153e-26, -4.2416820067200525e-26, -7.2943878904169239e-27, 1.3512156260312813e-26, 2.0779306738780308e-26, 1.8761933312659132e-26, 1.2363630293392266e-26, 5.4431126202930783e-27, 2.0709151396805123e-28, -2.645007503133759e-27, -3.4162787233333462e-27, -2.8586723136947206e-27, -1.750297584184051e-27, -6.6249894524607028e-28, 1.0575483107702274e-28, 4.8561038394703136e-28, 5.5050930563331245e-28, 4.2897322011293028e-28, 2.424515174963671e-28, 7.4169988581053949e-29, -3.6645453017025984e-29, -8.5369227842618262e-29, -8.7146726443539906e-29, -6.337473592679001e-29, -3.2715621282380042e-29, -7.079151350565852e-30, 8.6056903587392397e-30, 1.4532254331875235e-29, 1.3571748943882927e-29, 9.2095335011613589e-30, 4.2699435214093919e-30, 4.2350791665389248e-31, -1.7486530179315733e-30, -2.4114475900869597e-30, -2.0810031675574055e-30, -1.3144122856456554e-30, -5.3259560544947399e-31, 3.5571723888869347e-32, 3.2859186103159885e-31, 3.9170540112302609e-31, 3.1426356030542707e-31, 1.8380444963667793e-31, 6.2067624184321262e-32, -2.0483784560861998e-32, -5.8713494948708312e-32, -6.245376898424729e-32, -4.6733363692122705e-32, -2.5090208384130772e-32, -6.4266896485296606e-33, 5.3530866711495883e-33, 1.0118986702452564e-32, 9.7911597850005369e-33, 6.8388824287762504e-33, 3.3239426156859013e-33, 5.0588596197260835e-34, -1.1410146175866821e-33, -1.6959533191086491e-33, -1.5109280215627453e-33, -9.8362549507621229e-34, -4.2329813572557525e-34, -4.296323098259526e-36, 2.2045486015838882e-34, 2.778221465136711e-34, 2.2961916504592211e-34, 1.3876908478175198e-34, 5.0938052924399418e-35, -1.0367975873239265e-35, -4.0133005411976718e-35, -4.4628062532024296e-35, -3.4366810825689685e-35, -1.9143977176877313e-35, -5.5923468450242737e-36, 3.223626059940116e-36}; + static constexpr double chirp_in[4096] = {1, 0.99999992642979929, 0.99999882287700514, 0.99999404081958787, 0.9999811660875062, 0.99995401897637071, 0.99990465453387189, 0.99982336314626385, 0.99969867158853654, 0.99951734473821929, 0.99926438818900221, 0.998923052036508, 0.99847483614453059, 0.99789949723582638, 0.99717505818699503, 0.99627781994202647, 0.99518237649358454, 0.9938616334148932, 0.99228683045801158, 0.99042756876612315, 0.98825184327798898, 0.98572608093165093, 0.98281518530153245, 0.97948258832792745, 0.9756903098201305, 0.97139902543374301, 0.96656814383854717, 0.96115589380530031, 0.95511942194735522, 0.94841490185561306, 0.94099765536237645, 0.93282228666059408, 0.92384282998911005, 0.91401291157120323, 0.90328592646221384, 0.89161523092170281, 0.87895435087564089, 0.86525720697385833, 0.85047835667664762, 0.83457325372130264, 0.81749852522376165, 0.79921226656174948, 0.77967435406322239, 0.75884677538693723, 0.73669397733007314, 0.7131832306305963, 0.68828501114913054, 0.66197339661628929, 0.6342264779166199, 0.60502678364962148, 0.57436171646195799, 0.54222399938345511, 0.50861213012343165, 0.4735308409942906, 0.43699156182725674, 0.39901288293222104, 0.35962101483159181, 0.31885024116901001, 0.27674336086026408, 0.2333521152185779, 0.18873759545291671, 0.14297062560971868, 0.096132115709591626, 0.048313379525507044, -0.00038358883718521143, -0.049845885660697295, -0.099949521968676278, -0.15055930804420456, -0.20152880479580074, -0.25270034875965974, -0.30390515757424702, -0.35496352274746379, -0.4056850964493664, -0.45586927889726703, -0.50530571264738766, -0.55377488976053313, -0.60104887736125978, -0.64689216655377857, -0.69106264898686465, -0.73331272456861973, -0.77339054291489417, -0.81104138006864557, -0.8460091508484886, -0.87803805587175265, -0.9068743608505454, -0.93226830418043516, -0.95397612713425417, -0.97176221914417393, -0.9854013687119787, -0.99468110844139446, -0.99940414055107041, -0.99939082701909576, -0.99448172624942033, -0.98454015586016352, -0.96945475889963473, -0.94914204852736517, -0.92354890398720091, -0.89265498858333392, -0.85647505838693705, -0.81506112859245528, -0.7685044628528731, -0.71693734959881206, -0.66053462833527321, -0.59951492826162256, -0.53414158132492895, -0.46472317204376912, -0.39161368717798556, -0.3152122296164856, -0.23596226275400647, -0.15435035416899404, -0.070904390633105427, 0.013808759593039822, 0.09918615657250443, 0.18459228461860086, 0.2693631422116452, 0.35281092692297711, 0.43422930879702298, 0.51289927740590668, 0.5880955389371294, 0.65909343027171097, 0.72517630714337644, 0.78564335324217838, 0.83981774665942033, 0.88705510950404776, 0.92675215601078931, 0.9583554441811033, 0.98137012613941343, 0.99536858315359633, 0.99999882287700514, 0.99499250904629088, 0.98017248784854372, 0.95545967068985072, 0.92087913039150604, 0.87656526714078131, 0.82276590205092281, 0.7598451601445787, 0.68828501114912999, 0.60868534583648182, 0.52176247787447139, 0.42834597636238814, 0.32937375243207906, 0.22588534448833064, 0.11901337075840943, 0.0099731446764950698, -0.099949521968675376, -0.20941227153109016, -0.31703181849493733, -0.42140110777252832, -0.52110785216033795, -0.61475425146856222, -0.70097765980614957, -0.77847193249159985, -0.84600915084848771, -0.90246139255836488, -0.94682218813969621, -0.97822728137500836, -0.99597429399523896, -0.99954088350734849, -0.98860097853545059, -0.9630386791909602, -0.92295942146047771, -0.86869802495628545, -0.80082327303127221, -0.72013871347380276, -0.6276794168385581, -0.52470448779900736, -0.41268519236054085, -0.29328863974147795, -0.16835704134703858, -0.039882659401103367, 0.09002134692995295, 0.21915387133951877, 0.34526219919889106, 0.46608122869670787, 0.57937497068616284, 0.68297963205683976, 0.7748475038260193, 0.85309080213204103, 0.91602455057213206, 0.96220754845479073, 0.99048044398756308, 0.99999992642979929, 0.99026806874157036, 0.96115589380530075, 0.91292030397297208, 0.84621360604462514, 0.7620849817471087, 0.66197339661628984, 0.54769160642970061, 0.42140110777252909, 0.2855780849582823, 0.14297062560971963, -0.0034522927617008812, -0.15055930804420603, -0.29512169978712482, -0.43388373911755923, -0.56363695259073099, -0.68129669877065169, -0.78397929272312616, -0.8690777846452038, -0.9343344109714895, -0.97790769530701704, -0.99843218742645046, -0.9950688952752843, -0.96754459005089155, -0.9161783491799238, -0.84189394582437793, -0.74621699410734765, -0.63125611230023981, -0.49966776553729064, -0.35460488704253801, -0.19964984230321187, -0.038732782291660182, 0.1239630836160234, 0.28410729153688535, 0.43733655464327453, 0.57937497068616117, 0.70615681024133081, 0.81394842128514178, 0.89946560517441376, 0.95998273974085324, 0.99342995728005579, 0.99847483614453048, 0.97458533851213081, 0.92207112396763224, 0.84210088492281143, 0.73669397733007302, 0.60868534583648282, 0.46166354924637748, 0.29988255844234957, 0.12814889944360713, -0.048313379525509959, -0.2240165573282355, -0.39337772332802823, -0.55089698145210475, -0.69133985418658528, -0.80991791317645134, -0.90246139255836466, -0.96557747552099782, -0.99678810088010106, -0.99464152469519274, -0.95879249417982837, -0.89004674065898659, -0.79036655916348131, -0.66283548908721601, -0.51158150864681218, -0.34165966256345809, -0.15889660674110515, 0.030298881123715433, 0.21915387133951658, 0.40077079795557791, 0.56838039236265869, 0.71559896074412133, 0.83668028795140859, 0.92675215601078997, 0.98202755565343003, 0.9999811660875062, 0.97948258832792812, 0.92087913039150737, 0.82602263024340583, 0.6982368180860713, 0.54222399938345556, 0.36391230372523414, 0.17024729818871898, -0.031065697601372073, -0.23185984575257096, -0.42383465395227493, -0.59890073081561812, -0.74952733250515868, -0.86907778464520447, -0.95211766591071434, -0.99468110844139468, -0.99448172624941999, -0.95105651629515231, -0.86583354565218051, -0.74211726695732327, -0.58498878606033655, -0.4011222042584015, -0.19852211184659407, 0.013808759593047724, 0.22625900242972455, 0.42903908336572988, 0.61263423194927435, 0.76825896913416514, 0.88829153315462384, 0.96666642869321839, 0.99920437022617881, 0.98386102377908657, 0.92087913039150748, 0.81283271986127859, 0.66455703958209811, 0.48296332366677897, 0.27674336086027079, 0.055974700631925785, -0.16835704134703514, -0.38489726725106244, -0.58249718413303753, -0.75079558121367618, -0.8807772378003631, -0.96527750388896616, -0.99940414055107052, -0.98085070531978158, -0.91008053699473446, -0.79036655916348153, -0.62767941683856299, -0.43042453941683434, -0.20903717243428122, 0.024547220293044292, 0.25752199792776376, 0.47690591218475858, 0.6702700665282546, 0.82645479681547807, 0.93623487063973665, 0.99289265158964735, 0.99266256453924517, 0.93501624268541406, 0.82276590205092304, 0.66197339661628929, 0.46166354924637809, 0.23335211521857976, -0.0095895741826257964, -0.2527003487596628, -0.48128300660049478, -0.68129669877065224, -0.84023397604037153, -0.9479273461671317, -0.99723238944639814, -0.98454015586016264, -0.91008053699473168, -0.77799016180242753, -0.59613248546922271, -0.37567331729755787, -0.13043111482230935, 0.12396308361602595, 0.37104727229943907, 0.59459149924435239, 0.77967435406322239, 0.91370141006883898, 0.98729522857459673, 0.99499250904629022, 0.93569463493371918, 0.81283271986127059, 0.63422647791661613, 0.41163671634210847, 0.16003264759379121, -0.1033839317883601, -0.36033676125160785, -0.59273942915648381, -0.78397929272312317, -0.9201297299918394, -0.99100117924590703, -0.99094976176793526, -0.91937694488673249, -0.78087390759575936, -0.58498878606034577, -0.34562217432566072, -0.080084217820004439, 0.19212671735369832, 0.45074058099674741, 0.67622628148098096, 0.8512844415843499, 0.9622075484547904, 0.99999882287700514, 0.96115589380530075, 0.84804809615642662, 0.66884549507132596, 0.43699156182726329, 0.17024729818871992, -0.110630256376269, -0.3834806669755868, -0.62648422584859709, -0.81992136714207986, -0.94780510850409849, -0.99924960424107578, -0.96945475889963539, -0.86021435641350186, -0.67989149721536402, -0.44284765362705225, -0.16835704134703849, 0.12091746343008787, 0.40077079795558007, 0.64747701163478444, 0.83981774665941822, 0.96094386528026088, 0.99990465453387189, 0.95270229095965364, 0.82276590205091937, 0.62078697520272341, 0.36391230372523531, 0.074347571843515148, -0.22252093395631911, -0.50033216089251542, -0.73409463523198404, -0.90246139255836555, -0.98972693214480445, -0.98735610690369835, -0.89489156836093631, -0.72013871347379788, -0.47859081942819004, -0.19212671735370601, 0.11291736677555103, 0.40813786714038369, 0.66570278481121115, 0.8609957613666358, 0.97501319700248934, 0.99627781994202547, 0.92207112396763291, 0.75884677538694123, 0.5217624778744816, 0.23335211521858765, -0.07855469695947305, -0.38348066697558636, 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0.13917310095977206, -0.00038358883732390832, -0.13765351458680419, 0.27231715644977844, -0.40112220425904999, 0.52176247787385088, -0.63214819924955612, 0.73043741839816001, -0.8150611285928997, 0.88474193314022331, -0.93850626732280751, 0.97569030982003579, -0.99593983608298609, 0.99920437022618724, -0.98572608093161329, 0.95602393997122992, -0.91087371902243186, 0.85128444158434902, -0.7784719324913848, 0.69383011851274434, -0.59890073081503259, 0.49534204489136779, -0.38489726725095486, 0.26936314221196117, -0.15055930804387035, 0.030298881124326178, 0.089639308902994042, -0.20753646902082803, 0.32175727504855434, -0.43077074522443254, 0.53316837554399832, -0.62767941683915229, 0.71318323063147748, -0.78871871430858032, 0.85349083557877725, -0.90687436085068884, 0.94841490185585076, -0.97782743903615366, 0.99499250904623671, -0.99995026695593814, 0.9928926515895512, -0.9741538950009897, 0.94419962466029961, -0.90361480982436659, 0.85309080213176625, -0.79341171516675923, 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0.034516138970238572, -0.1030023907955661, 0.17024729818919959, -0.23596226275519949, 0.29988255844095463, -0.36176761742994845, 0.42140110777265816, -0.47859081942969695, 0.53316837554500318, -0.58498878606033788, 0.63392986057690648, -0.679891497215383, 0.72279486382731895, -0.76258148735215492, 0.79921226656135191, -0.8326664226881163, 0.86294040163105012, -0.89004674065880174, 0.91401291157148634, -0.93488015141986835, 0.95270229095934222, -0.96754459005129689, 0.97948258832790669, -0.98860097853575635, 0.99499250904627312, -0.99875692121885906, 0.99999992642979951, -0.99883222683233175, 0.99536858315373955, -0.98972693214479546, 0.98202755565360222, -0.97239230268577204, 0.96094386528012321, -0.94780510850434307, 0.93309845444673789, -0.91694531966419934, 0.89946560517507124, -0.88077723780042294, 0.86099576136681266, -0.84023397603959249, 0.81860162390640867, -0.796205118714578, 0.77314731759783095, -0.74952733250471737, 0.72544037896198199, -0.70097765980604587, 0.67622628148050334, -0.65126920047273773, 0.62618519753795332, -0.60104887736144608, 0.57593069136480424, -0.55089698145218191, 0.52601004251397765, -0.50132820166018488, 0.47690591218530526, -0.45279386036808306, 0.4290390833651167, -0.40568509645037554, 0.3827720280763382, -0.36033676125198227, 0.33841307983513402, -0.31703181849472845, 0.29622101515464083, -0.2760060647928777, 0.25640987367073959, -0.23745301300816751, 0.2191538713382635, -0.20152880479604404, 0.18459228461925636, -0.16835704134700888, 0.15283420512977428, -0.13803344170061341, 0.12396308361540023, -0.110630256377754, 0.098040999160336914, -0.086200379880266867, 0.075112604335562244, -0.064781119288953887, 0.055208709333225685, -0.046397587328288914, 0.038349478447046295, -0.03106569760236999, 0.024547220292490568, -0.018794746789342908, 0.013808759594209193, -0.0095895741816169593, 0.0061373830151254354, -0.0034522927602768901, 0.0015343547837478589, -0.00038358883724551112, -4.1594761818964385e-13}; + static constexpr double chirp[4096] = {0, 0.15678154198772049, 0.47961213535010511, 0.79945278030643929, 1.0269706126017633, 1.1406944042972325, 1.1614453571446341, 1.1266989550600308, 1.0721826205294347, 1.0225536426563469, 0.98956564533324443, 0.97475020737644669, 0.97374658811462489, 0.98028251780489084, 0.9888396358085535, 0.99586112131077276, 0.99983904453049466, 1.0007792877444837, 0.99948619390625215, 0.99695396639305445, 0.99398766345718992, 0.99105419694097241, 0.98829831171664828, 0.98564205945485406, 0.98290061241151661, 0.97987395827543833, 0.97639973565978466, 0.97237037186181186, 0.9677263384115049, 0.96243860526719616, 0.95649033921794169, 0.94986342341660734, 0.94253140924623868, 0.934457939222884, 0.9255985801220864, 0.91590400370308434, 0.90532303670693559, 0.89380483303491509, 0.88130002318957779, 0.86776105855445196, 0.85314209986622991, 0.83739877052115386, 0.82048798914097776, 0.80236797835659468, 0.78299845658190992, 0.76234096946060503, 0.74035930313215059, 0.71701992996809449, 0.69229245575956, 0.66615005565003305, 0.63856989915353979, 0.6095335710658375, 0.57902749612735316, 0.54704337308350259, 0.51357862038085111, 0.47863683257575895, 0.44222824431074437, 0.40437019753400871, 0.36508760725568928, 0.32441342119248384, 0.28238906883374221, 0.23906489556310334, 0.19450057740538373, 0.14876551174245581, 0.10193917900550083, 0.054111469967614054, 0.0053829728835837164, -0.04413478561283244, -0.094319152223388561, -0.1450362178997448, -0.19614075470622291, -0.24747622548368028, -0.29887487321569312, -0.35015789698743266, -0.40113572135115405, -0.45160836576172159, -0.50136592051188122, -0.55018913527094693, -0.59785012590371045, -0.64411320471104838, -0.68873583858313903, -0.73146973878451704, -0.77206208519235164, -0.81025688678124985, -0.84579647898649546, -0.87842315728115983, -0.9078809448706181, -0.93391749084206399, -0.95628609340995263, -0.97474784107640755, -0.9890738625863893, -0.9990476745112844, -1.0044676131547801, -1.0051493352575716, -1.0009283697018507, -0.99166270010503643, -0.97723535587051635, -0.95755698696024616, -0.93256839540218284, -0.90224299438023314, -0.86658916371431183, -0.82565246866479358, -0.77951770733333281, -0.72831075052725791, -0.67220013685593993, -0.61139838508448519, -0.54616298543332353, -0.47679703163233045, -0.40364945616481107, -0.32711483231810046, -0.24763270843911184, -0.16568644221657025, -0.081801505913624881, 0.0034567627143736648, 0.089485984538796554, 0.17565015364527584, 0.26128365178099888, 0.34569586526855284, 0.42817639948523079, 0.50800087780936842, 0.5844373030977561, 0.65675295034598424, 0.72422174927935268, 0.78613210532611633, 0.84179509685593146, 0.89055297586132642, 0.9317878885738734, 0.96493072201205365, 0.98946997234369838, 1.0049605214165935, 1.0110321990837707, 1.0073980012533734, 0.99386182716280391, 0.97032559445346767, 0.93679558744652192, 0.89338789282806608, 0.84033277797138484, 0.777977870566675, 0.70679000428700545, 0.62735560405815882, 0.54037949625129533, 0.44668204387308991, 0.34719452463381728, 0.2429526906227554, 0.13508847214642092, 0.024819814958314656, -0.086561330570419384, -0.19770281809449824, -0.30720782778586786, -0.41365198338613274, -0.51560190811826467, -0.61163502682725002, -0.70036038493089303, -0.78044021883457171, -0.85061197817766498, -0.90971046846438375, -0.95668975415456459, -0.99064443803954538, -1.0108299135986818, -1.0166811739034083, -1.0078297543527635, -0.98411838787351069, -0.945612960903357, -0.89261137709348892, -0.825648963679393, -0.74550009318041111, -0.65317574061873551, -0.54991675371081106, -0.43718268016408363, -0.31663607175029568, -0.19012226840497171, -0.059644756135956579, 0.072663711343818924, 0.20457393723512898, 0.33379666029106803, 0.45802199305334002, 0.57496132541676614, 0.68239100424938226, 0.7781970122684343, 0.86041979203205632, 0.92729829648063955, 0.97731229862894575, 1.009221962323491, 1.0221036657893385, 1.0153810820593054, 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0.0053556370426449951, -0.0050858762366299548, 0.0048199727639878509, -0.0045584176387904185, 0.0043016625634447331, -0.0040501216127773881, 0.0038041729551417658, -0.0035641606247570623, 0.0033303963210850468, -0.0031031612047457344, 0.0028827077238022733, -0.0026692614018862665, 0.0024630226268066019, -0.0022641684107468779, 0.002072854109136664, -0.0018892151039614016, 0.0017133684490071299, -0.0015454144402680323, 0.0013854381633825325, -0.0012335109534179003, 0.0010896918014686174, -0.00095402871050373136, 0.000826559952338244, -0.00070731528840967464, 0.00059631709731660515, -0.00049358143648844249, 0.00039911903776455177, -0.0003129362211635664, 0.00023503573139436497, -0.00016541751917240229, 0.00010407942575883962, -5.1017799072585433e-05, 6.2280605549937945e-06, 3.0294856705611987e-05, -5.8556074734366671e-05, 7.8560471266259611e-05, -9.0312421375895926e-05, 9.3815614448247622e-05, -8.9072958346086452e-05, 7.608654729245436e-05, -5.4857693051266584e-05, 2.5387059657348512e-05}; +}; + +struct case_mz_zeta_2_100Hz_1000Hz_z50 +{ + static constexpr int order = 2; + static constexpr double cutoff_hz = 100.0; + static constexpr double sample_rate_hz = 1000.0; + + static constexpr double b[3] = {0, 0.14183128765191388, 0.14183128765191388}; + static constexpr double a[3] = {1, -1.2498255157872755, 0.53348809109110329}; + static constexpr double step[256] = {0, 0.14183128765191388, 0.4609269375481545, 0.78407551985878654, 1.0177211342824788, 1.1373414645253095, 1.1621988526389959, 1.1294502289223733, 1.0752590428601412, 1.0250005165412293, 0.99109648036829001, 0.97553467613810407, 0.97417253567771633, 0.98077213500693272, 0.98974716835657017, 0.9974435863938792, 1.0022746926278963, 1.0042067851016867, 1.0040442259316467, 1.0028103070074512, 1.0013548470328928, 1.0001940570709129, 0.99951974272144739, 0.9992962350627983, 0.99937662816313644, 0.99959634418538934, 0.99982806211459208, 1.0000004532136813, 1.0000922932522953, 1.0001151086775522, 1.0000946284113055, 1.0000568598943125, 1.0000205818162264, 0.99999538960260459, 0.99998325765384755, 0.99998153458069028, 0.99998585329007617, 0.99999217016227138, 0.99999776117029471, 1.0000013789786921, 1.0000029178717409, 1.0000029111618436, 1.0000020817945274, 1.0000010488097444, 1.0000002002165913, 0.99999969070829609, 0.99999950662616943, 0.99999954837223837, 0.99999969875316308, 0.99999986443204913, 0.99999999127531591, 1.0000000614195546, 1.0000000814182415, 1.0000000689919948, 1.0000000427922933, 1.0000000166764926, 0.99999999801352712, 0.99999998862054529, 0.99999998683742675, 0.99999998961988357, 0.99999999404874163, 0.99999999809963391, 1.0000000007997993, 1.0000000020134325, 1.0000000020897559, 1.000000001537688, 1.0000000008069816, 1.0000000001882479, 0.99999999980476184, 0.9999999996555583, 0.99999999967366515, 0.99999999977589404, 0.99999999989400246, 0.99999999998707934, 1.0000000000403997, 1.0000000000573857, 1.0000000000501692, 1.0000000000320881, 1.00000000001334, 0.99999999999955402, 0.99999999999232592, 0.9999999999906467, 0.99999999999240408, 0.99999999999549638, 0.99999999999842348, 1.0000000000004321, 1.0000000000013811, 1.0000000000014957, 1.0000000000011324, 1.0000000000006173, 1.0000000000001674, 0.99999999999987987, 0.99999999999976052, 0.99999999999976474, 0.9999999999998338, 0.99999999999991784, 0.99999999999998612, 1.0000000000000266, 1.0000000000000409, 1.0000000000000369, 1.0000000000000242, 1.0000000000000107, 1.0000000000000004, 0.99999999999999478, 0.99999999999999334, 0.99999999999999456, 0.99999999999999667, 0.99999999999999867, 1.0000000000000002, 1.0000000000000009, 1.0000000000000009, 1.0000000000000007, 1.0000000000000004, 1, 0.99999999999999978, 0.99999999999999978, 0.99999999999999989, 0.99999999999999989, 0.99999999999999989, 0.99999999999999989, 0.99999999999999989, 0.99999999999999989, 0.99999999999999989, 0.99999999999999989, 0.99999999999999989, 0.99999999999999989, 0.99999999999999989, 0.99999999999999989, 0.99999999999999989, 0.99999999999999989, 0.99999999999999989, 0.99999999999999989, 0.99999999999999989, 0.99999999999999989, 0.99999999999999989, 0.99999999999999989, 0.99999999999999989, 0.99999999999999989, 0.99999999999999989, 0.99999999999999989, 0.99999999999999989, 0.99999999999999989, 0.99999999999999989, 0.99999999999999989, 0.99999999999999989, 0.99999999999999989, 0.99999999999999989, 0.99999999999999989, 0.99999999999999989, 0.99999999999999989, 0.99999999999999989, 0.99999999999999989, 0.99999999999999989, 0.99999999999999989, 0.99999999999999989, 0.99999999999999989, 0.99999999999999989, 0.99999999999999989, 0.99999999999999989, 0.99999999999999989, 0.99999999999999989, 0.99999999999999989, 0.99999999999999989, 0.99999999999999989, 0.99999999999999989, 0.99999999999999989, 0.99999999999999989, 0.99999999999999989, 0.99999999999999989, 0.99999999999999989, 0.99999999999999989, 0.99999999999999989, 0.99999999999999989, 0.99999999999999989, 0.99999999999999989, 0.99999999999999989, 0.99999999999999989, 0.99999999999999989, 0.99999999999999989, 0.99999999999999989, 0.99999999999999989, 0.99999999999999989, 0.99999999999999989, 0.99999999999999989, 0.99999999999999989, 0.99999999999999989, 0.99999999999999989, 0.99999999999999989, 0.99999999999999989, 0.99999999999999989, 0.99999999999999989, 0.99999999999999989, 0.99999999999999989, 0.99999999999999989, 0.99999999999999989, 0.99999999999999989, 0.99999999999999989, 0.99999999999999989, 0.99999999999999989, 0.99999999999999989, 0.99999999999999989, 0.99999999999999989, 0.99999999999999989, 0.99999999999999989, 0.99999999999999989, 0.99999999999999989, 0.99999999999999989, 0.99999999999999989, 0.99999999999999989, 0.99999999999999989, 0.99999999999999989, 0.99999999999999989, 0.99999999999999989, 0.99999999999999989, 0.99999999999999989, 0.99999999999999989, 0.99999999999999989, 0.99999999999999989, 0.99999999999999989, 0.99999999999999989, 0.99999999999999989, 0.99999999999999989, 0.99999999999999989, 0.99999999999999989, 0.99999999999999989, 0.99999999999999989, 0.99999999999999989, 0.99999999999999989, 0.99999999999999989, 0.99999999999999989, 0.99999999999999989, 0.99999999999999989, 0.99999999999999989, 0.99999999999999989, 0.99999999999999989, 0.99999999999999989, 0.99999999999999989, 0.99999999999999989, 0.99999999999999989, 0.99999999999999989, 0.99999999999999989, 0.99999999999999989, 0.99999999999999989, 0.99999999999999989, 0.99999999999999989, 0.99999999999999989, 0.99999999999999989, 0.99999999999999989, 0.99999999999999989, 0.99999999999999989, 0.99999999999999989, 0.99999999999999989, 0.99999999999999989, 0.99999999999999989, 0.99999999999999989, 0.99999999999999989}; + static constexpr double impulse[256] = {0, 0.14183128765191388, 0.31909564989624062, 0.32314858231063209, 0.23364561442369217, 0.11962033024283059, 0.024857388113686485, -0.032748623716622363, -0.054191186062232236, -0.050258526318911922, -0.033904036172939384, -0.015561804230186112, -0.0013621404603878159, 0.006599599329216525, 0.0089750333496376542, 0.0076964180373090309, 0.004831106234017067, 0.0019320924737903722, -0.00016255917004032909, -0.001233918924195519, -0.0014554599745581756, -0.0011607899619796515, -0.00067431434946536308, -0.00022350765864906992, 8.0393100338135533e-05, 0.00021971602225278266, 0.00023171792920252514, 0.00017239109908893799, 9.1840038614128701e-05, 2.281542525677194e-05, -2.0480266246533715e-05, -3.7768516992701736e-05, -3.6278078086023101e-05, -2.5192213621856531e-05, -1.2131948757193614e-05, -1.7230731574807738e-06, 4.3187093859026859e-06, 6.3168721953659103e-06, 5.5910080234730428e-06, 3.6178083975357655e-06, 1.5388930487519992e-06, -6.7098975367987481e-09, -8.2936731612188145e-07, -1.0329847832208152e-06, -8.4859315319814828e-07, -5.0950829526279639e-07, -1.8408212651205966e-07, 4.1746069119677994e-08, 1.5038092464650249e-07, 1.6567888598566814e-07, 1.2684326670592123e-07, 7.0144238616276303e-08, 1.9998686985391642e-08, -1.2426246683850714e-08, -2.6199701515108717e-08, -2.6115800836798744e-08, -1.8662965502597718e-08, -9.3929817496651243e-09, -1.7831184199757085e-09, 2.7824570043264865e-09, 4.4288582026504933e-09, 4.0508923116951524e-09, 2.7001654646179163e-09, 1.2136328879452022e-09, 7.6323230803378818e-11, -5.520679713698846e-10, -7.3070617177420114e-10, -6.187335298279789e-10, -3.8348591232382896e-10, -1.4920350844529474e-10, 1.8106815426058095e-11, 1.0222865483371365e-10, 1.1810821085839886e-10, 9.3076885632761459e-11, 5.3320542640806629e-11, 1.6985964667176715e-11, -7.2163824580871277e-12, -1.8081028793430024e-11, -1.8748277035565035e-11, -1.3786061480127544e-11, -7.2281888731247406e-12, -1.6792752638631409e-12, 1.7573516111627079e-12, 3.0922562387758872e-12, 2.9272545921594255e-12, 2.008875602497222e-12, 9.4908852153476644e-13, 1.1448384053923921e-13, -3.6324259857879714e-13, -5.150656336747124e-13, -4.4995657075302287e-13, -2.8758582142751877e-13, -1.1938562559382683e-13, 4.2124098128427094e-15, 6.8955586768811358e-14, 8.3935181329797005e-14, 6.8117346942851933e-14, 4.0356378613891689e-14, 1.4098638325681272e-14, -3.9088094727820574e-15, -1.2406785462785593e-14, -1.3421013736214754e-14, -1.0155053122134379e-14, -5.5320935075780973e-15, -1.4965517164360155e-15, 1.0808774841983493e-15, 2.1493007776116186e-15, 2.1096156872121022e-15, 1.490025145354147e-15, 7.368165999216265e-16, 1.2598151656494596e-16, -2.3562796745597891e-16, -3.6170348474457143e-16, -3.2636152981717218e-16, -2.1493046571949009e-16, -9.4515590628525676e-17, -3.4651529332234965e-18, 4.6092105470712492e-17, 5.945570731733888e-17, 4.9719670702450149e-17, 3.0422001279264786e-17, 1.149734122740988e-17, -1.8601049599162122e-18, -8.4585012649796888e-18, -9.579306861995768e-18, -7.4599524463327523e-18, -4.2131927822043506e-18, -1.2859600519053129e-18, 6.4046248962262434e-19, 1.4865107347453806e-18, 1.5161999347722378e-18, 1.1019495912475991e-18, 5.683701073385114e-19, 1.2248647864912096e-19, -1.5013195724266319e-19, -2.5298382857595543e-19, -2.3609203275462365e-19, -1.6010998682690845e-19, -7.4157258992552343e-20, -7.266863232828228e-21, 3.0479703452360175e-20, 4.1971096082690913e-20, 3.6195987997883931e-20, 2.2847589438729259e-20, 9.2453717126081241e-21, -6.338154063453894e-22, -5.7244543735365406e-21, -6.8164361687706984e-21, -5.4654276141887526e-21, -3.1943433671796426e-21, -1.0766313015967991e-21, 3.5854287341524958e-22, 1.0224860095958722e-21, 1.0866507512158137e-21, 8.126397261922734e-22, 4.3594262998865054e-22, 1.1131860610811382e-22, -9.3441367202086407e-23, -1.7617255563475591e-22, -1.703350985961874e-22, -1.1890319205142921e-22, -5.77364967385361e-23, -8.7271098638354268e-24, 1.9894368844429004e-23, 2.9520298984250683e-23, 2.6281814045908948e-23, 1.7098953842206883e-23, 7.3496739994957233e-24, 6.3721852354234528e-26, -3.8413223551473359e-24, -4.8349775432004606e-24, -3.9935785712372762e-24, -2.4118734576432733e-24, -8.8389437962093345e-25, 1.8199201796020169e-25, 6.9900539302640295e-25, 7.7654420162190542e-25, 5.9763370453567398e-25, 3.3266076925202382e-25, 9.693745330816133e-26, -5.6315656189182505e-26, -1.2209972096414785e-25, -1.2255961481258864e-25, -8.8039386737913812e-26, -4.464977698807975e-26, -8.8364661822725588e-27, 1.2776083389018519e-26, 2.0682024486992991e-26, 1.9033033583152835e-26, 1.2754357251595182e-26, 5.7868243765610581e-27, 4.2822305795831957e-28, -2.5519977858462616e-27, -3.4180038507346676e-27, -2.9104479984675056e-27, -1.8140878211862155e-27, -7.1460389987512482e-28, 7.4664061051226469e-29, 4.7454971904476001e-28, 5.5327195996849545e-28, 4.383267889972533e-28, 2.5266800336404644e-28, 8.1948795691172942e-29, -3.2373674951619313e-29, -8.4180151574835888e-29, -8.7939531309527038e-29, -6.499996170560197e-29, -3.4323917975091249e-29, -8.2222029957421508e-30, 8.0350823792379215e-30, 1.4428898359786316e-29, 1.3746984574502705e-29, 9.4836866438376106e-30, 4.5191009922889474e-30, 5.8865384445520337e-31, -1.6751719670577539e-30, -2.4077124835521879e-30, -2.1155362016681056e-30, -1.3595651876700176e-30, -5.7060589206406289e-31, 1.2154033323769418e-32, 3.196018690903689e-31, 3.929625388454922e-31, 3.2063081674747499e-31, 1.9109174119971319e-31, 6.7778611636028324e-32, -1.7233729988565581e-32, -5.7698237610407612e-32, -6.2918739867465116e-32, -4.7856123865442746e-32, -2.6245406267955061e-32, -7.2715062578990826e-33, 4.9134976304727008e-33, 1.0020276703208692e-32, 9.9023050274574851e-33, 7.0304551978255252e-33, 3.5040804873414908e-33, 6.2882507946224213e-34, -1.0834635809425234e-33, -1.6896111201607407e-33, -1.5337041721710561e-33, -1.0154751968679323e-33, -4.5095390058465106e-34, -2.1869767067059813e-35, 2.1324514268825708e-34, 2.7818648073469492e-34, 2.3392081766207888e-34, 1.439510320133846e-34, 5.5119702353226528e-35, -7.9061508557523987e-36, -3.9287013861115365e-35, -4.4884075034796713e-35, -3.5138108201563426e-35, -1.9971384696104561e-35, -6.2149839097902694e-36, 2.8868504273076551e-36}; + static constexpr double chirp_in[4096] = {1, 0.99999992642979929, 0.99999882287700514, 0.99999404081958787, 0.9999811660875062, 0.99995401897637071, 0.99990465453387189, 0.99982336314626385, 0.99969867158853654, 0.99951734473821929, 0.99926438818900221, 0.998923052036508, 0.99847483614453059, 0.99789949723582638, 0.99717505818699503, 0.99627781994202647, 0.99518237649358454, 0.9938616334148932, 0.99228683045801158, 0.99042756876612315, 0.98825184327798898, 0.98572608093165093, 0.98281518530153245, 0.97948258832792745, 0.9756903098201305, 0.97139902543374301, 0.96656814383854717, 0.96115589380530031, 0.95511942194735522, 0.94841490185561306, 0.94099765536237645, 0.93282228666059408, 0.92384282998911005, 0.91401291157120323, 0.90328592646221384, 0.89161523092170281, 0.87895435087564089, 0.86525720697385833, 0.85047835667664762, 0.83457325372130264, 0.81749852522376165, 0.79921226656174948, 0.77967435406322239, 0.75884677538693723, 0.73669397733007314, 0.7131832306305963, 0.68828501114913054, 0.66197339661628929, 0.6342264779166199, 0.60502678364962148, 0.57436171646195799, 0.54222399938345511, 0.50861213012343165, 0.4735308409942906, 0.43699156182725674, 0.39901288293222104, 0.35962101483159181, 0.31885024116901001, 0.27674336086026408, 0.2333521152185779, 0.18873759545291671, 0.14297062560971868, 0.096132115709591626, 0.048313379525507044, -0.00038358883718521143, -0.049845885660697295, -0.099949521968676278, -0.15055930804420456, -0.20152880479580074, -0.25270034875965974, -0.30390515757424702, -0.35496352274746379, -0.4056850964493664, -0.45586927889726703, -0.50530571264738766, -0.55377488976053313, -0.60104887736125978, -0.64689216655377857, -0.69106264898686465, -0.73331272456861973, -0.77339054291489417, -0.81104138006864557, -0.8460091508484886, -0.87803805587175265, -0.9068743608505454, -0.93226830418043516, -0.95397612713425417, -0.97176221914417393, -0.9854013687119787, -0.99468110844139446, -0.99940414055107041, 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chirp[4096] = {0, 0.14183128765191388, 0.46092692711359817, 0.78407532942998548, 1.0177198896953144, 1.1373364941637205, 1.1621841117408405, 1.1294144124824279, 1.0751835670505856, 1.024857502163782, 0.99084680938192116, 0.97512613904837508, 0.97353805440998431, 0.97982803293147425, 0.98839146072824935, 0.99555427347544845, 0.9997080482844708, 1.0007956421178181, 0.99959626440151039, 0.99710635414788662, 0.9941471966982427, 0.99120481625323797, 0.98843921128152301, 0.98578132434683097, 0.98304932415941615, 0.98004222137928754, 0.97659485502683507, 0.97259669357181655, 0.9679860217153089, 0.96273267093883863, 0.95681956632821419, 0.95022890904724022, 0.94293478761184346, 0.93490135472636215, 0.92608453435862315, 0.91643517597253821, 0.90590213843117651, 0.89443451844284017, 0.88198285199091453, 0.86849949331774956, 0.85393851877579618, 0.83825548057707133, 0.82140723144256911, 0.80335192298900848, 0.78404918846730587, 0.76346046820273827, 0.74154941991995404, 0.71828236376309518, 0.6936287299244952, 0.66756149529362774, 0.64005760893649188, 0.61109841302518586, 0.58067006712821256, 0.54876398167625628, 0.51537726302993603, 0.48051316937549976, 0.44418157439467454, 0.40639943442298876, 0.36719125439508976, 0.32658954791914896, 0.28463528700387758, 0.24137833707034917, 0.19687787282599631, 0.15120277035986723, 0.10443197048618072, 0.056654807980811725, 0.0079713009767784383, -0.041507605554435903, -0.091659848591683121, -0.14235211470111575, -0.1934397732626647, -0.24476688213458703, -0.29616627265605411, -0.34745972088018251, -0.39845821185708469, -0.44896230364013601, -0.49876259745954593, -0.54764032018635567, -0.59536802478863071, -0.64171041395217066, -0.68642529139372077, -0.72926464462949547, -0.76997586207074642, -0.80830308629696601, -0.84398870420302008, -0.87677497342717126, -0.90640578304218267, -0.93262854493276548, -0.95519621059275583, -0.97386940625996554, -0.98841867737337863, -0.99862683129659302, -1.0042913651162022, -1.0052269631101707, 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-0.0045235459385073451, 0.0032675542068296981, -0.0019410624176249835, 0.00058135424972222127, 0.00077458588760878633, -0.0020910644552347146, 0.0033345862290020956, -0.0044746571665371937, 0.0054844665369656737, -0.0063414365991979887, 0.0070276325760743052, -0.0075300299926135336, 0.0078406405653809394, -0.0079565015854692507, 0.0078795371043708755, -0.007616302098553851, 0.007177623162830056, -0.0065781510884385108, 0.0058358419626556163, -0.0049713841422430738, 0.0040075886877362632, -0.002968760557027883, 0.001880067191212087, -0.00076692001672626353, -0.00034561696836837852, 0.0014333790337907049, -0.0024736023065698998, 0.0034453664151785357, -0.0043299715152895907, 0.0051112450592414038, -0.0057757756837233942, 0.0063130734590896714, -0.0067156575609805882, 0.0069790739828844567, -0.0071018473808953306, 0.0070853722943251003, -0.0069337500376305573, 0.0066535782682308683, -0.0062537008242542699, 0.0057449257219697875, -0.0051397193324949214, 0.0044518846915365118, 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0.00026062689989608378, -0.00022155289548039065, 0.00018246869072963026, -0.00014337886157232606, 0.00010428637518790666, -6.5192925025772122e-05, 2.6099295606577697e-05}; +}; + +struct case_tu_zeta_2_100Hz_1000Hz_z50 +{ + static constexpr int order = 2; + static constexpr double cutoff_hz = 100.0; + static constexpr double sample_rate_hz = 1000.0; + + static constexpr double b[3] = {0.069855733532198414, 0.13971146706439674, 0.069855733532198427}; + static constexpr double a[3] = {1, -1.2758616540728207, 0.55528458820161419}; + static constexpr double step[256] = {0.069855733532198414, 0.29869345232745603, 0.62172464404807437, 0.90679769618763562, 1.0911372297511435, 1.1680322995897992, 1.1637788686001014, 1.1156534319120086, 1.0566138973317201, 1.0080109323797943, 0.97878401677041738, 0.9684829932562985, 0.97156956815548812, 0.98122761031188033, 0.99183600848079001, 1.0000078949539919, 1.0045434115378848, 1.0057923806135831, 1.0048673899058207, 1.0029936964525372, 1.0011167559082559, 0.99976247253845529, 0.99907683047538842, 0.99895405874200993, 0.99917814546583217, 0.99953222237535555, 0.99985954362264995, 1.0000805467997398, 1.0001807598348036, 1.000185898145298, 1.0001368071647168, 1.0000713206404055, 1.0000150283601146, 0.99997957085595601, 0.99996559022173115, 0.99996744187221953, 0.99997756755279277, 0.99998945832737873, 0.99999900667634267, 1.000004586284776, 1.0000064030421982, 1.0000056227027569, 1.0000036182801897, 1.0000014942247628, 0.99999989724885252, 0.99999903918376909, 0.99999883118754318, 0.99999904228345082, 0.99999942710972334, 0.99999980087650375, 1.0000000640631082, 1.0000001923058719, 1.0000002097824312, 1.0000001608688729, 1.0000000887574754, 1.0000000239142535, 0.99999998122562106, 0.99999996276727365, 0.99999996292131565, 0.9999999733674878, 0.99999998660982103, 0.99999999770460768, 1.000000004506757, 1.0000000070245945, 1.0000000064598782, 1.000000004341262, 1.0000000019517792, 1.0000000000795644, 0.99999999901772019, 0.99999999870256617, 0.99999999889009883, 0.99999999930436478, 0.99999999972877684, 1.0000000000402325, 1.0000000002019374, 1.0000000002353038, 1.0000000001880822, 1.0000000001093063, 1.0000000000350207, 0.99999999998398559, 0.99999999996012157, 0.99999999995801336, 0.9999999999685748, 0.99999999998322053, 0.99999999999604183, 1.0000000000042673, 1.0000000000076426, 1.0000000000073814, 1.0000000000051739, 1.0000000000025024, 1.00000000000032, 0.9999999999990189, 0.99999999999857081, 0.99999999999872147, 0.99999999999916256, 0.99999999999964162, 1.000000000000008, 1.0000000000002092, 1.0000000000002625, 1.0000000000002187, 1.0000000000001334, 1.0000000000000488, 0.99999999999998845, 0.99999999999995837, 0.99999999999995348, 0.99999999999996392, 0.99999999999998002, 0.99999999999999456, 1.0000000000000042, 1.0000000000000084, 1.0000000000000084, 1.000000000000006, 1.0000000000000029, 1.0000000000000004, 0.99999999999999922, 0.999999999999999, 0.99999999999999922, 0.99999999999999978, 1.0000000000000002, 1.0000000000000004, 1.0000000000000007, 1.0000000000000007, 1.0000000000000007, 1.0000000000000007, 1.0000000000000007, 1.0000000000000007, 1.0000000000000007, 1.0000000000000007, 1.0000000000000007, 1.0000000000000007, 1.0000000000000007, 1.0000000000000007, 1.0000000000000007, 1.0000000000000007, 1.0000000000000007, 1.0000000000000007, 1.0000000000000007, 1.0000000000000007, 1.0000000000000007, 1.0000000000000007, 1.0000000000000007, 1.0000000000000007, 1.0000000000000007, 1.0000000000000007, 1.0000000000000007, 1.0000000000000007, 1.0000000000000007, 1.0000000000000007, 1.0000000000000007, 1.0000000000000007, 1.0000000000000007, 1.0000000000000007, 1.0000000000000007, 1.0000000000000007, 1.0000000000000007, 1.0000000000000007, 1.0000000000000007, 1.0000000000000007, 1.0000000000000007, 1.0000000000000007, 1.0000000000000007, 1.0000000000000007, 1.0000000000000007, 1.0000000000000007, 1.0000000000000007, 1.0000000000000007, 1.0000000000000007, 1.0000000000000007, 1.0000000000000007, 1.0000000000000007, 1.0000000000000007, 1.0000000000000007, 1.0000000000000007, 1.0000000000000007, 1.0000000000000007, 1.0000000000000007, 1.0000000000000007, 1.0000000000000007, 1.0000000000000007, 1.0000000000000007, 1.0000000000000007, 1.0000000000000007, 1.0000000000000007, 1.0000000000000007, 1.0000000000000007, 1.0000000000000007, 1.0000000000000007, 1.0000000000000007, 1.0000000000000007, 1.0000000000000007, 1.0000000000000007, 1.0000000000000007, 1.0000000000000007, 1.0000000000000007, 1.0000000000000007, 1.0000000000000007, 1.0000000000000007, 1.0000000000000007, 1.0000000000000007, 1.0000000000000007, 1.0000000000000007, 1.0000000000000007, 1.0000000000000007, 1.0000000000000007, 1.0000000000000007, 1.0000000000000007, 1.0000000000000007, 1.0000000000000007, 1.0000000000000007, 1.0000000000000007, 1.0000000000000007, 1.0000000000000007, 1.0000000000000007, 1.0000000000000007, 1.0000000000000007, 1.0000000000000007, 1.0000000000000007, 1.0000000000000007, 1.0000000000000007, 1.0000000000000007, 1.0000000000000007, 1.0000000000000007, 1.0000000000000007, 1.0000000000000007, 1.0000000000000007, 1.0000000000000007, 1.0000000000000007, 1.0000000000000007, 1.0000000000000007, 1.0000000000000007, 1.0000000000000007, 1.0000000000000007, 1.0000000000000007, 1.0000000000000007, 1.0000000000000007, 1.0000000000000007, 1.0000000000000007, 1.0000000000000007, 1.0000000000000007, 1.0000000000000007, 1.0000000000000007, 1.0000000000000007, 1.0000000000000007, 1.0000000000000007, 1.0000000000000007, 1.0000000000000007, 1.0000000000000007, 1.0000000000000007, 1.0000000000000007, 1.0000000000000007, 1.0000000000000007, 1.0000000000000007, 1.0000000000000007, 1.0000000000000007, 1.0000000000000007, 1.0000000000000007}; + static constexpr double impulse[256] = {0.069855733532198414, 0.22883771879525761, 0.32303119172061834, 0.28507305213956113, 0.18433953356350768, 0.076895069838655655, -0.0042534309896977429, -0.048125436688092625, -0.059039534580288371, -0.048602964951925842, -0.029226915609377048, -0.010301023514118917, 0.0030865748991894832, 0.0096580421563922103, 0.010608398168909726, 0.0081718864732021682, 0.0045355165838932322, 0.0012489690756983208, -0.00092499070776248349, -0.0018736934532835241, -0.0018769405442815219, -0.0013542833698007607, -0.00068564206306703378, -0.00012277173337849718, 0.0002240867238222063, 0.0003540769095234367, 0.00032732124729450171, 0.00022100317708991998, 0.0001002130350637277, 5.1383104944405873e-06, -4.9090980581219263e-05, -6.5486524311368603e-05, -5.6292280290926952e-05, -3.5457504158519595e-05, -1.3980634224705514e-05, 1.851650488400713e-06, 1.0125680573158675e-05, 1.1890774585738345e-05, 9.5483489638396845e-06, 5.5796084334290666e-06, 1.8167574225624401e-06, -7.8033944108332369e-07, -2.0044225672886401e-06, -2.1240554269623429e-06, -1.5969759105276316e-06, -8.5806508364204479e-07, -2.0799622607243861e-07, 2.1109590758267058e-07, 3.8482627255855334e-07, 3.7376678052414479e-07, 2.6318660455016985e-07, 1.2824276380439617e-07, 1.7476559422524816e-08, -4.8913558276636549e-08, -7.2111397471534547e-08, -6.4843221790416896e-08, -4.2688632559308085e-08, -1.8458347637668102e-08, 1.540418031390439e-10, 1.044617199661411e-08, 1.324233324310736e-08, 1.1094786879911357e-08, 6.8021495784617165e-09, 2.5178376486306564e-09, -5.6471632049316739e-10, -2.1186163406247241e-09, -2.389483079219388e-09, -1.8722148315708543e-09, -1.0618439841285948e-09, -3.151539801838066e-10, 1.875327210162637e-10, 4.1426595573505175e-10, 4.244120177463369e-10, 3.1145551833393838e-10, 1.6170470028955547e-10, 3.3366377141600686e-11, -4.7221246780251045e-11, -7.877561301528545e-11, -7.428555334954402e-11, -5.1035205136741502e-11, -2.3864238340678128e-11, -2.1084037343852121e-12, 1.0561412283742597e-11, 1.4645665045091674e-11, 1.2821252958621679e-11, 8.2256329235705968e-12, 3.3753254583056665e-12, -2.6111886839456917e-13, -2.2074177585012048e-12, -2.6713643892829153e-12, -2.1825463273234588e-12, -1.3012596924300478e-12, -4.4829300496333855e-13, 1.5060959763257796e-13, 4.4108720700947458e-13, 4.7913506512485208e-13, 3.6638112860922624e-13, 2.0139531543762713e-13, 5.3506766152151584e-14, -4.3564483631545241e-14, -8.5293736753769196e-14, -8.4632321703157144e-14, -6.0616836466719545e-14, -3.0343673333606325e-14, -5.0547341745533549e-15, 1.0400232646731834e-14, 1.6076074011986911e-14, 1.4735757477489238e-14, 9.8739917716005315e-15, 4.415308451289206e-15, 1.5044728910422202e-16, -2.2598028080299493e-15, -2.9667368095077831e-15, -2.5303120613035614e-15, -1.5809449042850701e-15, -6.1202368959662087e-16, 9.7016783204880286e-17, 4.6362731593989502e-16, 5.3765238967784945e-16, 4.2852496399988146e-16, 2.4818848358250626e-16, 7.8700861016615816e-17, -3.740382918888045e-17, -9.1423486578306249e-17, -9.5873950918591136e-17, -7.1555844504899538e-17, -3.8058030773507034e-17, -8.8229244441191155e-18, 9.8762069707978772e-18, 1.7499907728414341e-17, 1.6843355699723049e-17, 1.1772362606646719e-17, 5.6670501940072797e-18, 6.933605120479226e-19, -2.26219354352697e-18, -3.2712584026849666e-18, -2.9175119462995307e-18, -1.9058622425469419e-18, -8.1156713353665178e-19, 2.2848545136473391e-20, 4.7980230413484257e-19, 5.9947391640431815e-19, 4.9841895768742346e-19, 3.0303500896814662e-19, 1.098663821127329e-19, -2.8096366156201804e-20, -9.6854184946157326e-20, -1.0797106149827088e-19, -8.3974500911752182e-20, -4.7185179211449229e-20, -1.3572014638223696e-20, 8.8851897622243335e-21, 1.8872603466234755e-20, 1.9145022136880787e-20, 1.3946733766780965e-20, 7.1631670792097878e-21, 1.3948038816360607e-21, -2.1980194942669911e-21, -3.5788818866760813e-21, -3.3456318139326358e-21, -2.2812653853776e-21, -1.0528012438931326e-21, -7.6477226345417936e-23, 4.8702994466937891e-22, 6.6384945592688523e-22, 5.7653984262662684e-22, 3.6695970549026575e-22, 1.480461277301357e-22, -1.4880691544900822e-23, -1.0119343679969658e-22, -1.2084580697990882e-22, -9.7991375299125707e-23, -5.7919624009282663e-23, -1.9484326811474392e-23, 7.3025691326037248e-24, 2.013641432240014e-23, 2.16362747908614e-23, 1.6423452807771451e-23, 8.9397637274497549e-24, 2.2862115071122357e-24, -2.0472234249921316e-24, -3.8814718805356953e-24, -3.8154295172339601e-24, -2.7126387000569754e-24, -1.3423024904670953e-24, -2.0630581225251503e-25, 4.8214221079569155e-25, 7.2970519656435491e-25, 6.6327674009782924e-25, 4.4105530914642908e-25, 1.944182047762301e-25, 3.1395166141587863e-27, -1.0395184391773629e-25, -1.34371496715048e-25, -1.1371658321644306e-25, -7.0472206738590628e-26, -2.6767720172622845e-26, 4.9802225632963261e-27, 2.1217777470408952e-26, 2.4305507823932606e-26, 1.9228560590113021e-26, 1.1036509216897521e-26, 3.403735555670106e-27, -1.7857077996045272e-27, -4.1683580032716364e-27, -4.3266721166700194e-27, -3.2056100860817699e-27, -1.6873806421522864e-27, -3.7283838056201781e-28, 4.6128627209121978e-28, 7.9556887272752565e-28, 7.5889066024575943e-28, 5.2647235916304314e-28, 2.5030560722076271e-28, 2.7013338895001355e-29, -1.0452556278553012e-28, -1.483602481927004e-28, -1.3124571756988789e-28, -8.5069218985518497e-29, -3.5657830211526072e-29, 1.7431679986811268e-30, 2.2024284771294444e-29, 2.7131986073760681e-29, 2.2386914730685721e-29, 1.3496632343819746e-29, 4.7887269392651215e-30, -1.3847188595126606e-30, -4.4258159610034622e-30, -4.8778158309482715e-30, -3.7658307809743136e-30, -2.0961031341608043e-30, -5.832298174073426e-31, 4.1981320613867384e-31, 8.5948210057164143e-31, 8.6346445118900391e-31, 6.2440401864450068e-31, 3.1718464183227025e-31, 5.7961793410170951e-32, -1.0217651361038086e-31, -1.625483862475284e-31, -1.5065220966062238e-31, -1.0195076368703131e-31, -4.6420219788661088e-32, -2.6140905711917597e-33, 2.2441214709518211e-32, 3.0083449525035157e-32, 2.5921059002508745e-32, 1.6366809333066795e-32, 6.488219853623267e-33, -8.1016606625443532e-34, -4.6364683069457876e-33, -5.4656193926810474e-33, -4.3988148043462994e-33, -2.5773049185016289e-33, -8.4569044916290543e-34, 3.5215368503760069e-34}; + static constexpr double chirp_in[4096] = {1, 0.99999992642979929, 0.99999882287700514, 0.99999404081958787, 0.9999811660875062, 0.99995401897637071, 0.99990465453387189, 0.99982336314626385, 0.99969867158853654, 0.99951734473821929, 0.99926438818900221, 0.998923052036508, 0.99847483614453059, 0.99789949723582638, 0.99717505818699503, 0.99627781994202647, 0.99518237649358454, 0.9938616334148932, 0.99228683045801158, 0.99042756876612315, 0.98825184327798898, 0.98572608093165093, 0.98281518530153245, 0.97948258832792745, 0.9756903098201305, 0.97139902543374301, 0.96656814383854717, 0.96115589380530031, 0.95511942194735522, 0.94841490185561306, 0.94099765536237645, 0.93282228666059408, 0.92384282998911005, 0.91401291157120323, 0.90328592646221384, 0.89161523092170281, 0.87895435087564089, 0.86525720697385833, 0.85047835667664762, 0.83457325372130264, 0.81749852522376165, 0.79921226656174948, 0.77967435406322239, 0.75884677538693723, 0.73669397733007314, 0.7131832306305963, 0.68828501114913054, 0.66197339661628929, 0.6342264779166199, 0.60502678364962148, 0.57436171646195799, 0.54222399938345511, 0.50861213012343165, 0.4735308409942906, 0.43699156182725674, 0.39901288293222104, 0.35962101483159181, 0.31885024116901001, 0.27674336086026408, 0.2333521152185779, 0.18873759545291671, 0.14297062560971868, 0.096132115709591626, 0.048313379525507044, -0.00038358883718521143, -0.049845885660697295, -0.099949521968676278, -0.15055930804420456, -0.20152880479580074, -0.25270034875965974, -0.30390515757424702, -0.35496352274746379, -0.4056850964493664, -0.45586927889726703, -0.50530571264738766, -0.55377488976053313, -0.60104887736125978, -0.64689216655377857, -0.69106264898686465, -0.73331272456861973, -0.77339054291489417, -0.81104138006864557, -0.8460091508484886, -0.87803805587175265, -0.9068743608505454, -0.93226830418043516, -0.95397612713425417, -0.97176221914417393, -0.9854013687119787, -0.99468110844139446, -0.99940414055107041, -0.99939082701909576, -0.99448172624942033, -0.98454015586016352, -0.96945475889963473, -0.94914204852736517, -0.92354890398720091, -0.89265498858333392, -0.85647505838693705, -0.81506112859245528, -0.7685044628528731, -0.71693734959881206, -0.66053462833527321, -0.59951492826162256, -0.53414158132492895, -0.46472317204376912, -0.39161368717798556, -0.3152122296164856, -0.23596226275400647, -0.15435035416899404, -0.070904390633105427, 0.013808759593039822, 0.09918615657250443, 0.18459228461860086, 0.2693631422116452, 0.35281092692297711, 0.43422930879702298, 0.51289927740590668, 0.5880955389371294, 0.65909343027171097, 0.72517630714337644, 0.78564335324217838, 0.83981774665942033, 0.88705510950404776, 0.92675215601078931, 0.9583554441811033, 0.98137012613941343, 0.99536858315359633, 0.99999882287700514, 0.99499250904629088, 0.98017248784854372, 0.95545967068985072, 0.92087913039150604, 0.87656526714078131, 0.82276590205092281, 0.7598451601445787, 0.68828501114912999, 0.60868534583648182, 0.52176247787447139, 0.42834597636238814, 0.32937375243207906, 0.22588534448833064, 0.11901337075840943, 0.0099731446764950698, -0.099949521968675376, -0.20941227153109016, -0.31703181849493733, -0.42140110777252832, -0.52110785216033795, -0.61475425146856222, -0.70097765980614957, -0.77847193249159985, -0.84600915084848771, -0.90246139255836488, -0.94682218813969621, -0.97822728137500836, -0.99597429399523896, -0.99954088350734849, -0.98860097853545059, -0.9630386791909602, -0.92295942146047771, -0.86869802495628545, -0.80082327303127221, -0.72013871347380276, -0.6276794168385581, -0.52470448779900736, -0.41268519236054085, -0.29328863974147795, -0.16835704134703858, -0.039882659401103367, 0.09002134692995295, 0.21915387133951877, 0.34526219919889106, 0.46608122869670787, 0.57937497068616284, 0.68297963205683976, 0.7748475038260193, 0.85309080213204103, 0.91602455057213206, 0.96220754845479073, 0.99048044398756308, 0.99999992642979929, 0.99026806874157036, 0.96115589380530075, 0.91292030397297208, 0.84621360604462514, 0.7620849817471087, 0.66197339661628984, 0.54769160642970061, 0.42140110777252909, 0.2855780849582823, 0.14297062560971963, -0.0034522927617008812, -0.15055930804420603, -0.29512169978712482, -0.43388373911755923, -0.56363695259073099, -0.68129669877065169, -0.78397929272312616, -0.8690777846452038, -0.9343344109714895, -0.97790769530701704, -0.99843218742645046, -0.9950688952752843, -0.96754459005089155, -0.9161783491799238, -0.84189394582437793, -0.74621699410734765, -0.63125611230023981, -0.49966776553729064, -0.35460488704253801, -0.19964984230321187, -0.038732782291660182, 0.1239630836160234, 0.28410729153688535, 0.43733655464327453, 0.57937497068616117, 0.70615681024133081, 0.81394842128514178, 0.89946560517441376, 0.95998273974085324, 0.99342995728005579, 0.99847483614453048, 0.97458533851213081, 0.92207112396763224, 0.84210088492281143, 0.73669397733007302, 0.60868534583648282, 0.46166354924637748, 0.29988255844234957, 0.12814889944360713, -0.048313379525509959, -0.2240165573282355, -0.39337772332802823, -0.55089698145210475, -0.69133985418658528, -0.80991791317645134, -0.90246139255836466, -0.96557747552099782, -0.99678810088010106, -0.99464152469519274, -0.95879249417982837, -0.89004674065898659, -0.79036655916348131, -0.66283548908721601, -0.51158150864681218, -0.34165966256345809, -0.15889660674110515, 0.030298881123715433, 0.21915387133951658, 0.40077079795557791, 0.56838039236265869, 0.71559896074412133, 0.83668028795140859, 0.92675215601078997, 0.98202755565343003, 0.9999811660875062, 0.97948258832792812, 0.92087913039150737, 0.82602263024340583, 0.6982368180860713, 0.54222399938345556, 0.36391230372523414, 0.17024729818871898, -0.031065697601372073, -0.23185984575257096, -0.42383465395227493, -0.59890073081561812, -0.74952733250515868, -0.86907778464520447, -0.95211766591071434, -0.99468110844139468, -0.99448172624941999, -0.95105651629515231, 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constexpr double chirp[4096] = {0.069855733532198414, 0.29869344718815571, 0.62172454498364726, 0.90679698676910625, 1.091134149188794, 1.1680225035130021, 1.1637536805896349, 1.1155978631157111, 1.0565045976107152, 1.007814183184357, 0.97845381577247892, 0.96795923362823455, 0.97077628873278954, 0.98007128513377562, 0.99020384921879989, 0.99776615054389728, 1.0015356604474537, 1.0018378194872928, 0.99975912689064195, 0.99649705886063378, 0.99296762121640814, 0.98966563029780497, 0.98670438141924088, 0.98394385670785178, 0.98113228778885109, 0.97801559502629365, 0.9743984283208349, 0.97016129841254128, 0.96524856342443432, 0.95964361596848191, 0.95334392675901636, 0.94634301586835567, 0.93862134596565761, 0.93014475574813549, 0.92086756335528508, 0.91073744524586897, 0.89969999148458246, 0.88770186677684604, 0.87469237694792656, 0.86062377994873063, 0.84545088533318258, 0.82913044798882696, 0.81162069942376669, 0.79288117377010947, 0.77287283835496923, 0.75155845406383026, 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0.00040905434453208933, -0.00041895752802746655, 0.00042129963560734451, -0.00041633837519262917, 0.00040445084995077707, -0.00038611944520189345, 0.00036191664156702552, -0.00033248914049999884, 0.00029854166888241412, -0.00026082080703083294, 0.00022009915447085415, -0.00017716011173224411, 0.00013278352649909175, -8.7732406286261666e-05, 4.2740870817790586e-05, 1.4965361242571043e-06, -4.4334068274003678e-05, 8.5182500362974631e-05, -0.00012351530103255765, 0.00015887329976459544, -0.00019086785199809442, 0.0002191825931715935, -0.00024357384183586878, 0.00026386977156606789, -0.00027996845253661778, 0.00029183489697749698, -0.00029949723191388666, 0.00030304214917585559, -0.00030260974829500464, 0.00029838793221748094, -0.00029060646364206799, 0.00027953082511578131, -0.00026545598870651721, 0.00024870020761308398, -0.00022959893009234095, 0.00020849891502824902, -0.00018575263536955294, 0.000161713022170204, -0.00013672861138137871, 0.0001111391282089258, -8.5271540059897455e-05, 5.9436602008869355e-05, -3.3925897782631845e-05, 9.0093850827052332e-06, 1.5066569092386559e-05, -3.8080671410815198e-05, 5.9837722893401474e-05, -8.016921337403865e-05, 9.8933500218469778e-05, -0.00011601562554797162, 0.0001313267885968486, -0.0001448035251894117, 0.00015640662147816536, -0.00016611980690712375, 0.00017394825991901008, -0.00017991696876706181, 0.00018406897282806367, -0.00018646353405432636, 0.00018717424913597402, -0.0001862871544838357, 0.00018389882940220148, -0.00018011453799862687, 0.00017504641868333615, -0.00016881174896481166, 0.00016153129328290439, -0.00015332775218826478, 0.0001443243212277262, -0.00013464336474623001, 0.00012440521634208418, -0.00011372709992366059, 0.00010272218473515726, -9.1498759226878168e-05, 8.0159537021118332e-05, -6.8801078805094673e-05, 5.7513333022694846e-05, -4.6379287126703528e-05, 3.5474724247776951e-05, -2.4868071754991644e-05, 1.4620351866459491e-05, -4.7851964343984671e-06, -4.5910485723839323e-06, 1.3469157935840949e-05, -2.1816817373531295e-05, 2.9608333719906288e-05, -3.6824345756737015e-05, 4.3451456402322092e-05, -4.9481872370221724e-05, 5.4913004759866296e-05, -5.9747061178665184e-05, 6.3990623141461922e-05, -6.7654236918610056e-05, 7.0751974901153702e-05, -7.3301041465669015e-05, 7.5321349230599022e-05, -7.6835136202102472e-05, 7.7866586224682732e-05, -7.8441461119273248e-05, 7.8586767980608208e-05, -7.8330431719245142e-05, 7.7700994567074522e-05, -7.6727346120006312e-05, 7.5438459158166937e-05, -7.3863165681517517e-05, 7.2029945800577977e-05, -6.9966740523355608e-05, 6.7700789830163477e-05, -6.5258490002426117e-05, 6.2665268373396366e-05, -5.9945486131376957e-05, 5.7122347887822444e-05, -5.4217840094072933e-05, 5.1252677133448166e-05, -4.8246266537349536e-05, 4.5216688159641083e-05, -4.2180682139375536e-05, 3.9153654555285078e-05, -3.6149685549213828e-05, 3.3181553534947228e-05, -3.0260763461020801e-05, 2.7397580890306528e-05, -2.4601076694975854e-05, 2.1879172024757976e-05, -1.9238687468142723e-05, 1.6685401799318433e-05, -1.4224100929972894e-05, 1.1858642641721096e-05, -9.5920121412837456e-06, 7.4263805738480904e-06, -5.3631673189585838e-06, 3.4030975507443051e-06, -1.5462584869313512e-06, -2.078402359731446e-07, 1.8602145564761141e-06, -3.4123519143600123e-06, 4.8661566475760587e-06, -6.223908035743464e-06, 7.4882045718593915e-06, -8.6619258633027774e-06, 9.7481905709968786e-06, -1.07503091232794e-05, 1.1671760922100927e-05, -1.2516144565277026e-05, 1.3287156040969056e-05, -1.3988557257368223e-05, 1.4624145290496188e-05, -1.5197730422300548e-05, 1.5713116593679688e-05, -1.6174069815494407e-05, 1.6584315745932915e-05, -1.6947508283925161e-05, 1.7267220537056996e-05, -1.7546937861732947e-05, 1.7790030791962896e-05, -1.7999761997554778e-05, 1.8179265039788839e-05, -1.8331540767393441e-05, 1.8459453569052292e-05, -1.8565721233404497e-05, 1.8652909493655813e-05, -1.8723436678350601e-05, 1.8779559222145172e-05, -1.8823372914182884e-05, 1.8856821939557903e-05, -1.8881670745990974e-05, 1.88995375228864e-05, -1.8911861837799188e-05, 1.891992205213446e-05, -1.8924832536140962e-05, 1.8927536408203625e-05, -1.89288111251292e-05, 1.892927160106745e-05, -1.892935603680483e-05, 1.892934739758518e-05}; +}; + +struct case_tupw_zeta_2_100Hz_1000Hz_z50 +{ + static constexpr int order = 2; + static constexpr double cutoff_hz = 100.0; + static constexpr double sample_rate_hz = 1000.0; + + static constexpr double b[3] = {0.073801721165179399, 0.14760344233035885, 0.073801721165179426}; + static constexpr double a[3] = {1, -1.25051643084874, 0.54572331550945741}; + static constexpr double step[256] = {0.073801721165179399, 0.3136954284375123, 0.64721285223939562, 0.93336628137548061, 1.109197611956529, 1.1729169818135816, 1.1566438440880247, 1.1015208722001872, 1.0414693208105661, 0.99645576007925252, 0.97293709449956778, 0.96809156636571403, 0.97486683797469398, 0.98598374412378742, 0.99618819423750249, 1.002882271890589, 1.0056845196361435, 1.005535662234148, 1.0038202616765164, 1.0017563600486661, 1.0001115512311214, 0.99918101001841231, 0.99891496346362774, 0.99909008591131665, 0.99945426721751895, 0.9998141135219597, 1.000065365008376, 1.0001831826020813, 1.0001934016446592, 1.0001418849174482, 1.0000718856338104, 1.0000124642586516, 0.99997635709382193, 0.99996363212079464, 0.99996742385464643, 0.9999791097945997, 0.99999165401695211, 1.0000009634832201, 1.0000057594491381, 1.0000066764905227, 1.0000052059954201, 1.0000028666662679, 1.000000743780189, 0.99999936570272741, 0.99999880090264803, 0.99999884665987004, 0.99999921210459985, 0.99999964412845632, 0.99999998494967757, 1.0000001753867236, 1.0000002275372917, 1.0000001888264978, 1.0000001119582329, 1.0000000369585875, 0.99999998511910293, 0.99999996122203105, 0.99999995962836519, 0.99999997067664925, 0.99999998536241053, 0.99999999769789027, 1.0000000051092481, 1.000000007645514, 1.0000000067726051, 1.000000004296919, 1.0000000016773998, 0.99999999975268727, 0.9999999987753353, 0.99999999860350119, 0.99999999892198355, 0.99999999941402484, 0.99999999985552723, 1.0000000001391152, 1.0000000002528082, 1.0000000002402227, 1.0000000001624394, 1.0000000000720382, 1.0000000000014382, 0.9999999999624859, 0.99999999995230338, 0.999999999960827, 0.99999999997704292, 0.99999999999266953, 1.0000000000033615, 1.0000000000082043, 1.0000000000084255, 1.0000000000060592, 1.0000000000029794, 1.0000000000004194, 0.99999999999889877, 0.99999999999839406, 0.99999999999859301, 0.99999999999911704, 0.99999999999966371, 1.0000000000000615, 1.0000000000002607, 1.0000000000002927, 1.000000000000224, 1.0000000000001208, 1.0000000000000291, 0.99999999999997058, 0.99999999999994749, 0.9999999999999506, 0.99999999999996703, 0.9999999999999859, 1.0000000000000007, 1.0000000000000089, 1.0000000000000111, 1.0000000000000093, 1.000000000000006, 1.0000000000000027, 1.0000000000000004, 0.99999999999999944, 0.99999999999999922, 0.99999999999999967, 1.0000000000000002, 1.0000000000000007, 1.0000000000000011, 1.0000000000000013, 1.0000000000000016, 1.0000000000000016, 1.0000000000000013, 1.0000000000000011, 1.0000000000000009, 1.0000000000000009, 1.0000000000000009, 1.0000000000000009, 1.0000000000000009, 1.0000000000000009, 1.0000000000000009, 1.0000000000000009, 1.0000000000000009, 1.0000000000000009, 1.0000000000000009, 1.0000000000000009, 1.0000000000000009, 1.0000000000000009, 1.0000000000000009, 1.0000000000000009, 1.0000000000000009, 1.0000000000000009, 1.0000000000000009, 1.0000000000000009, 1.0000000000000009, 1.0000000000000009, 1.0000000000000009, 1.0000000000000009, 1.0000000000000009, 1.0000000000000009, 1.0000000000000009, 1.0000000000000009, 1.0000000000000009, 1.0000000000000009, 1.0000000000000009, 1.0000000000000009, 1.0000000000000009, 1.0000000000000009, 1.0000000000000009, 1.0000000000000009, 1.0000000000000009, 1.0000000000000009, 1.0000000000000009, 1.0000000000000009, 1.0000000000000009, 1.0000000000000009, 1.0000000000000009, 1.0000000000000009, 1.0000000000000009, 1.0000000000000009, 1.0000000000000009, 1.0000000000000009, 1.0000000000000009, 1.0000000000000009, 1.0000000000000009, 1.0000000000000009, 1.0000000000000009, 1.0000000000000009, 1.0000000000000009, 1.0000000000000009, 1.0000000000000009, 1.0000000000000009, 1.0000000000000009, 1.0000000000000009, 1.0000000000000009, 1.0000000000000009, 1.0000000000000009, 1.0000000000000009, 1.0000000000000009, 1.0000000000000009, 1.0000000000000009, 1.0000000000000009, 1.0000000000000009, 1.0000000000000009, 1.0000000000000009, 1.0000000000000009, 1.0000000000000009, 1.0000000000000009, 1.0000000000000009, 1.0000000000000009, 1.0000000000000009, 1.0000000000000009, 1.0000000000000009, 1.0000000000000009, 1.0000000000000009, 1.0000000000000009, 1.0000000000000009, 1.0000000000000009, 1.0000000000000009, 1.0000000000000009, 1.0000000000000009, 1.0000000000000009, 1.0000000000000009, 1.0000000000000009, 1.0000000000000009, 1.0000000000000009, 1.0000000000000009, 1.0000000000000009, 1.0000000000000009, 1.0000000000000009, 1.0000000000000009, 1.0000000000000009, 1.0000000000000009, 1.0000000000000009, 1.0000000000000009, 1.0000000000000009, 1.0000000000000009, 1.0000000000000009, 1.0000000000000009, 1.0000000000000009, 1.0000000000000009, 1.0000000000000009, 1.0000000000000009, 1.0000000000000009, 1.0000000000000009, 1.0000000000000009, 1.0000000000000009, 1.0000000000000009, 1.0000000000000009, 1.0000000000000009, 1.0000000000000009, 1.0000000000000009, 1.0000000000000009, 1.0000000000000009, 1.0000000000000009, 1.0000000000000009, 1.0000000000000009, 1.0000000000000009, 1.0000000000000009, 1.0000000000000009, 1.0000000000000009, 1.0000000000000009, 1.0000000000000009, 1.0000000000000009, 1.0000000000000009, 1.0000000000000009, 1.0000000000000009, 1.0000000000000009}; + static constexpr double impulse[256] = {0.073801721165179399, 0.23989370727233289, 0.33351742380188337, 0.28615342913608505, 0.1758313305810483, 0.063719369857052538, -0.016273137725556996, -0.055122971887837609, -0.060051551389621129, -0.045013560731313351, -0.023518665579684364, -0.0048455281338533641, 0.0067752716089800429, 0.011116906149093334, 0.010204450113714921, 0.0066940776530861135, 0.0028022477455541895, -0.00014885740199556798, -0.0017154005576316485, -0.0020639016278503216, -0.0016448088175447734, -0.00093054121270878267, -0.00026604655478452109, 0.00017512244768888504, 0.00036418130620227706, 0.00035984630444099372, 0.00025125148641638902, 0.00011781759370549881, 1.021904257795614e-05, -5.1516727211033971e-05, -6.9999283637924906e-05, -5.9421375159064722e-05, -3.6107164829862302e-05, -1.2724973027170442e-05, 3.7917338520152593e-06, 1.1685939953506337e-05, 1.254422235252022e-05, 9.3094662677746566e-06, 4.7959659175791243e-06, 9.1704138444980928e-07, -1.470495102588874e-06, -2.3393291520513235e-06, -2.1228860789784104e-06, -1.3780774616571822e-06, -5.6480007931566085e-07, 4.5757222075509164e-08, 3.6544472991956588e-07, 4.3202385639194786e-07, 3.4082122128960357e-07, 1.9043704591518816e-07, 5.2150568081093792e-08, -3.8710793829159624e-08, -7.6868264653478311e-08, -7.4999645205552006e-08, -5.1839484393214096e-08, -2.389707195683423e-08, -1.5936658338302844e-09, 1.1048284028764625e-08, 1.4685761313305883e-08, 1.233547963094416e-08, 7.4113576062178133e-09, 2.5362656188729361e-09, -8.7290881589406585e-10, -2.4756860994522316e-09, -2.6195194518416993e-09, -1.9247124891021817e-09, -9.7735175198148601e-10, -1.7183394361634781e-10, 3.1848246864053457e-10, 4.9204134939963552e-10, 4.4150248336308069e-10, 2.8358767314393842e-10, 1.1369284582609748e-10, -1.2585633450234884e-11, -7.778337819608173e-11, -9.0401118866872918e-11, -7.0599881469442856e-11, -3.8952313479717318e-11, -1.0182506635878303e-11, 8.5237938035229179e-12, 1.6215975486000643e-11, 1.5626710772306691e-11, 1.0692022674450162e-11, 4.842689620236655e-12, 2.2097687620334296e-13, -2.3664334210088746e-12, -3.0798561090138028e-12, -2.5599927765262782e-12, -1.520563742797128e-12, -5.0444219883448422e-13, 1.9899382910672892e-13, 5.2413092216630645e-13, 5.4683875789882179e-13, 3.9780038717176672e-13, 1.9903326034666613e-13, 3.1805416150578588e-14, -6.884389524675925e-14, -1.0344737932255372e-13, -9.1792928804448376e-14, -5.8334918881022768e-14, -2.285523310546023e-14, 3.2538808124709007e-15, 1.6541665007071578e-14, 1.8909905259684417e-14, 1.46199749613225e-14, 7.9629427134462496e-15, 1.9793294925136191e-15, -1.8703794463419841e-15, -3.4191064827126042e-15, -3.2549391627350641e-15, -2.2044687785874368e-15, -9.804282372472862e-16, -2.3011609157978014e-17, 5.0626615289736101e-16, 6.4565211422562994e-16, 5.3111733396201202e-16, 3.1182354038717191e-16, 1.000973483652912e-16, -4.4995997498797749e-17, -1.1089369101828727e-16, -1.1411901775613243e-16, -8.2190434044781635e-17, -4.0503079499029869e-17, -5.7965302434299822e-18, 1.4854818521232875e-17, 2.1739496340973342e-17, 1.9078976558064728e-17, 1.1994823648936192e-17, 4.5878817143334454e-18, -8.0863346408424795e-19, -3.5149234536827474e-18, -3.9541793969539219e-18, -3.0265906255087401e-18, -1.6269134160265637e-18, -3.8280088746699746e-19, 4.0914578391987378e-19, 7.2054689489274288e-19, 6.7777533753294543e-19, 4.5434995554808686e-19, 1.9829428039925674e-19, 2.0891639321227071e-23, -1.0818768680780584e-19, -1.3530188102335547e-19, -1.1015668220239275e-19, -6.3915349955143407e-20, -1.9812125465342698e-20, 1.0104708265020327e-20, 2.3448042510577153e-20, 2.380778753407376e-20, 1.6975885992436175e-20, 8.2361596137169422e-21, 1.0353161365430224e-21, -3.1999844915928147e-21, -4.5666293398326667e-21, -3.9643388767258077e-21, -2.4653547987618128e-21, -9.1953452811358991e-22, 1.9550855854866078e-22, 7.4629809624422588e-22, 8.2656445288288876e-22, 6.2636015804475644e-22, 3.3219817555447081e-22, 7.3599934677627759e-23, -8.925036214601113e-23, -1.5177424469634183e-22, -1.4109018323169172e-22, -9.3608848338058514e-23, -4.0063200340534278e-23, 9.848407778443043e-25, 2.3094982094220147e-23, 2.8343204004445629e-23, 2.2840172110367694e-23, 1.3094463245960942e-23, 3.9104269913425836e-24, -2.2559006930942317e-24, -4.9550520658505441e-24, -4.9652764183616312e-24, -3.5050723029690564e-24, -1.6734833967264047e-24, -1.7991880608228675e-25, 6.8826748448697447e-25, 9.5887568554762051e-25, 8.2348618632706333e-25, 5.0650218830050834e-25, 1.8399369685198431e-25, -4.6322912426140489e-26, -1.5833721339256284e-25, -1.7272379360895536e-25, -1.295856328454074e-25, -6.778956175946378e-26, -1.4054059621457903e-26, 1.9419511923546771e-26, 3.1954046752447855e-26, 2.9361380063551476e-26, 1.9278819864175691e-26, 8.0852913313101786e-27, -4.1011183738528347e-28, -4.9251835833183292e-27, -5.9352154042584728e-27, -4.7342968690705386e-27, -2.681330594613716e-27, -7.6943178110665617e-28, 5.0107753737845728e-28, 1.0465025562648561e-27, 1.0352189465089247e-27, 7.2345745744135347e-28, 3.397523217834075e-28, 3.0058258504221729e-29, -1.4782241735344904e-28, -2.0125785423763216e-28, -1.7100611385677277e-28, -1.0401485166660503e-28, -3.6750257635078221e-29, 1.0806528703134436e-29, 3.356921414614977e-29, 3.6081479187417604e-29, 2.6800979730308732e-29, 1.3824561064952086e-29, 2.6619212436684931e-30, -4.2156090469958449e-30, -6.7243608660227303e-30, -6.1083676038994495e-30, -3.9689735478524396e-30, -1.6297880140429262e-30, 1.2788471334235132e-31, 1.0493352538900712e-30, 1.2424213066902037e-30, 9.8102154421881342e-31, 5.4876528531565956e-31, 1.508736762693304e-31, -1.1080399978160381e-31, -2.2089750516745526e-31, -2.1576763361287123e-31, -1.4927205217049515e-31, -6.8917725510868575e-32, -4.7215089046812138e-33, 3.1705685199459416e-32, 4.222511778691177e-32, 3.5500671939508433e-32, 2.1350942290075245e-32, 7.3261597542002153e-33, -2.4902238681408139e-33, -7.1121220546158869e-33, -7.5348522618162742e-33, -5.5412057294661271e-33, -2.8174242532182583e-33, -4.9927015871691668e-34, 9.1318856775506249e-34, 1.4144206747908623e-33, 1.2704080010775101e-33, 8.167837390571367e-34, 3.2811021974325797e-34, -3.543070921413737e-35, -2.2336408099973e-34, -2.5998508924840067e-34, -2.0322063903190548e-34}; + static constexpr double chirp_in[4096] = {1, 0.99999992642979929, 0.99999882287700514, 0.99999404081958787, 0.9999811660875062, 0.99995401897637071, 0.99990465453387189, 0.99982336314626385, 0.99969867158853654, 0.99951734473821929, 0.99926438818900221, 0.998923052036508, 0.99847483614453059, 0.99789949723582638, 0.99717505818699503, 0.99627781994202647, 0.99518237649358454, 0.9938616334148932, 0.99228683045801158, 0.99042756876612315, 0.98825184327798898, 0.98572608093165093, 0.98281518530153245, 0.97948258832792745, 0.9756903098201305, 0.97139902543374301, 0.96656814383854717, 0.96115589380530031, 0.95511942194735522, 0.94841490185561306, 0.94099765536237645, 0.93282228666059408, 0.92384282998911005, 0.91401291157120323, 0.90328592646221384, 0.89161523092170281, 0.87895435087564089, 0.86525720697385833, 0.85047835667664762, 0.83457325372130264, 0.81749852522376165, 0.79921226656174948, 0.77967435406322239, 0.75884677538693723, 0.73669397733007314, 0.7131832306305963, 0.68828501114913054, 0.66197339661628929, 0.6342264779166199, 0.60502678364962148, 0.57436171646195799, 0.54222399938345511, 0.50861213012343165, 0.4735308409942906, 0.43699156182725674, 0.39901288293222104, 0.35962101483159181, 0.31885024116901001, 0.27674336086026408, 0.2333521152185779, 0.18873759545291671, 0.14297062560971868, 0.096132115709591626, 0.048313379525507044, -0.00038358883718521143, -0.049845885660697295, -0.099949521968676278, -0.15055930804420456, -0.20152880479580074, -0.25270034875965974, -0.30390515757424702, -0.35496352274746379, -0.4056850964493664, -0.45586927889726703, -0.50530571264738766, -0.55377488976053313, -0.60104887736125978, -0.64689216655377857, -0.69106264898686465, -0.73331272456861973, -0.77339054291489417, -0.81104138006864557, -0.8460091508484886, -0.87803805587175265, -0.9068743608505454, -0.93226830418043516, 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0.92087913039150604, 0.87656526714078131, 0.82276590205092281, 0.7598451601445787, 0.68828501114912999, 0.60868534583648182, 0.52176247787447139, 0.42834597636238814, 0.32937375243207906, 0.22588534448833064, 0.11901337075840943, 0.0099731446764950698, -0.099949521968675376, -0.20941227153109016, -0.31703181849493733, -0.42140110777252832, -0.52110785216033795, -0.61475425146856222, -0.70097765980614957, -0.77847193249159985, -0.84600915084848771, -0.90246139255836488, -0.94682218813969621, -0.97822728137500836, -0.99597429399523896, -0.99954088350734849, -0.98860097853545059, -0.9630386791909602, -0.92295942146047771, -0.86869802495628545, -0.80082327303127221, -0.72013871347380276, -0.6276794168385581, -0.52470448779900736, -0.41268519236054085, -0.29328863974147795, -0.16835704134703858, -0.039882659401103367, 0.09002134692995295, 0.21915387133951877, 0.34526219919889106, 0.46608122869670787, 0.57937497068616284, 0.68297963205683976, 0.7748475038260193, 0.85309080213204103, 0.91602455057213206, 0.96220754845479073, 0.99048044398756308, 0.99999992642979929, 0.99026806874157036, 0.96115589380530075, 0.91292030397297208, 0.84621360604462514, 0.7620849817471087, 0.66197339661628984, 0.54769160642970061, 0.42140110777252909, 0.2855780849582823, 0.14297062560971963, -0.0034522927617008812, -0.15055930804420603, -0.29512169978712482, -0.43388373911755923, -0.56363695259073099, -0.68129669877065169, -0.78397929272312616, -0.8690777846452038, -0.9343344109714895, -0.97790769530701704, -0.99843218742645046, -0.9950688952752843, -0.96754459005089155, -0.9161783491799238, -0.84189394582437793, -0.74621699410734765, -0.63125611230023981, -0.49966776553729064, -0.35460488704253801, -0.19964984230321187, -0.038732782291660182, 0.1239630836160234, 0.28410729153688535, 0.43733655464327453, 0.57937497068616117, 0.70615681024133081, 0.81394842128514178, 0.89946560517441376, 0.95998273974085324, 0.99342995728005579, 0.99847483614453048, 0.97458533851213081, 0.92207112396763224, 0.84210088492281143, 0.73669397733007302, 0.60868534583648282, 0.46166354924637748, 0.29988255844234957, 0.12814889944360713, -0.048313379525509959, -0.2240165573282355, -0.39337772332802823, -0.55089698145210475, -0.69133985418658528, -0.80991791317645134, -0.90246139255836466, -0.96557747552099782, -0.99678810088010106, -0.99464152469519274, -0.95879249417982837, -0.89004674065898659, -0.79036655916348131, -0.66283548908721601, -0.51158150864681218, -0.34165966256345809, -0.15889660674110515, 0.030298881123715433, 0.21915387133951658, 0.40077079795557791, 0.56838039236265869, 0.71559896074412133, 0.83668028795140859, 0.92675215601078997, 0.98202755565343003, 0.9999811660875062, 0.97948258832792812, 0.92087913039150737, 0.82602263024340583, 0.6982368180860713, 0.54222399938345556, 0.36391230372523414, 0.17024729818871898, -0.031065697601372073, -0.23185984575257096, -0.42383465395227493, -0.59890073081561812, -0.74952733250515868, -0.86907778464520447, -0.95211766591071434, -0.99468110844139468, -0.99448172624941999, -0.95105651629515231, -0.86583354565218051, -0.74211726695732327, -0.58498878606033655, -0.4011222042584015, -0.19852211184659407, 0.013808759593047724, 0.22625900242972455, 0.42903908336572988, 0.61263423194927435, 0.76825896913416514, 0.88829153315462384, 0.96666642869321839, 0.99920437022617881, 0.98386102377908657, 0.92087913039150748, 0.81283271986127859, 0.66455703958209811, 0.48296332366677897, 0.27674336086027079, 0.055974700631925785, -0.16835704134703514, -0.38489726725106244, -0.58249718413303753, -0.75079558121367618, -0.8807772378003631, -0.96527750388896616, -0.99940414055107052, -0.98085070531978158, -0.91008053699473446, -0.79036655916348153, -0.62767941683856299, -0.43042453941683434, -0.20903717243428122, 0.024547220293044292, 0.25752199792776376, 0.47690591218475858, 0.6702700665282546, 0.82645479681547807, 0.93623487063973665, 0.99289265158964735, 0.99266256453924517, 0.93501624268541406, 0.82276590205092304, 0.66197339661628929, 0.46166354924637809, 0.23335211521857976, -0.0095895741826257964, -0.2527003487596628, -0.48128300660049478, -0.68129669877065224, -0.84023397604037153, -0.9479273461671317, -0.99723238944639814, -0.98454015586016264, -0.91008053699473168, -0.77799016180242753, -0.59613248546922271, -0.37567331729755787, -0.13043111482230935, 0.12396308361602595, 0.37104727229943907, 0.59459149924435239, 0.77967435406322239, 0.91370141006883898, 0.98729522857459673, 0.99499250904629022, 0.93569463493371918, 0.81283271986127059, 0.63422647791661613, 0.41163671634210847, 0.16003264759379121, -0.1033839317883601, -0.36033676125160785, -0.59273942915648381, -0.78397929272312317, -0.9201297299918394, -0.99100117924590703, -0.99094976176793526, -0.91937694488673249, -0.78087390759575936, -0.58498878606034577, -0.34562217432566072, -0.080084217820004439, 0.19212671735369832, 0.45074058099674741, 0.67622628148098096, 0.8512844415843499, 0.9622075484547904, 0.99999882287700514, 0.96115589380530075, 0.84804809615642662, 0.66884549507132596, 0.43699156182726329, 0.17024729818871992, -0.110630256376269, -0.3834806669755868, -0.62648422584859709, -0.81992136714207986, -0.94780510850409849, -0.99924960424107578, -0.96945475889963539, -0.86021435641350186, -0.67989149721536402, -0.44284765362705225, -0.16835704134703849, 0.12091746343008787, 0.40077079795558007, 0.64747701163478444, 0.83981774665941822, 0.96094386528026088, 0.99990465453387189, 0.95270229095965364, 0.82276590205091937, 0.62078697520272341, 0.36391230372523531, 0.074347571843515148, -0.22252093395631911, -0.50033216089251542, -0.73409463523198404, -0.90246139255836555, -0.98972693214480445, -0.98735610690369835, -0.89489156836093631, -0.72013871347379788, -0.47859081942819004, -0.19212671735370601, 0.11291736677555103, 0.40813786714038369, 0.66570278481121115, 0.8609957613666358, 0.97501319700248934, 0.99627781994202547, 0.92207112396763291, 0.75884677538694123, 0.5217624778744816, 0.23335211521858765, -0.07855469695947305, -0.38348066697558636, -0.65126920047307302, -0.85508594369616242, -0.97415389500088145, -0.99593983608294245, -0.91755646763273546, -0.74621699410735365, -0.49867062121686356, -0.19964984230321028, 0.12053668025531283, 0.42903908336570928, 0.69383011851338472, 0.88705510950404576, 0.98801617809016951, 0.98546660117894946, 0.878954350875643, 0.67904717547725413, 0.40638618731229703, 0.089639308903445084, -0.23745301300756336, -0.53964301532054448, -0.78397929272311817, -0.94343906000553723, -0.9999855802751384, -0.9466986959828072, -0.78871871430905482, -0.54286844851759386, -0.23596226275400908, 0.098040999161486744, 0.42174894365151211, 0.69851136524894031, 0.89659687467502402, 0.99289265158964801, 0.97569030982012916, 0.84621360604462359, 0.6186796598453691, 0.31885024116900984, -0.018794746789845506, -0.3549635227474629, -0.65010409366874566, -0.86907778464520169, -0.98540136871197892, -0.98454015586016408, 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-0.0034522927602768901, 0.0015343547837478589, -0.00038358883724551112, -4.1594761818964385e-13}; + static constexpr double chirp[4096] = {0.073801721165179399, 0.31369542300790487, 0.64721274771666437, 0.93336553465636662, 1.1091943787680956, 1.1729067329335796, 1.1566175785294623, 1.1014631168388915, 1.0413560830874373, 0.99625253888946319, 0.97259698997708566, 0.96755348237573602, 0.97405374770970288, 0.98480098559888185, 0.99452177085940086, 1.000597145829125, 1.0026228969764412, 1.0015152762364636, 0.99863266366396519, 0.99516522757802217, 0.99185102178958884, 0.98895404682009069, 0.98639175878185004, 0.9839065070584796, 0.98121035069327678, 0.97807261374045384, 0.97435036511108464, 0.96997877595894955, 0.96494245363344244, 0.95924488542454367, 0.95288590346578161, 0.94585021533745717, 0.93810539897076672, 0.92960569800812032, 0.92029791004492223, 0.91012673100810837, 0.89903828186981305, 0.88698166388554089, 0.87390904530571134, 0.85977499257165801, 0.84453566325986595, 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2.9322780363785772e-05, -2.6331010737457028e-05, 2.3418997133851926e-05, -2.0594041479159164e-05, 1.786233095273787e-05, -1.5228990512969331e-05, 1.269815173539357e-05, -1.0273012730821485e-05, 7.9559003288431906e-06, -5.7483368959346248e-06, 3.6511019526341837e-06, -1.6642922156112627e-06, -2.1261373843450837e-07, 1.980699778525441e-06, -3.6415545060300425e-06, 5.1972127353486219e-06, -6.6501105184246789e-06, 8.0030258589811054e-06, -9.2590374115644747e-06, 1.0421479998162786e-05, -1.149389377082255e-05, 1.2479999565617045e-05, -1.3383646411353756e-05, 1.4208787114472488e-05, -1.4959445593716592e-05, 1.5639683351099248e-05, -1.6253576110330376e-05, 1.6805193033275073e-05, -1.7298562853783339e-05, 1.7737670963299118e-05, -1.8126426559041814e-05, 1.8468652018727855e-05, -1.87680761632638e-05, 1.9028305199930359e-05, -1.9252829513110095e-05, 1.9445002082877152e-05, -1.9608033405490999e-05, 1.9744988342781239e-05, -1.985877495552877e-05, 1.9952138556854522e-05, -2.0027666853768104e-05, 2.0087774523616479e-05, -2.0134704212395205e-05, 2.0170536438132974e-05, -2.0197159858885688e-05, 2.0216305801167792e-05, -2.0229515738394346e-05, 2.0238157532830861e-05, -2.0243424419271079e-05, 2.0246326204459246e-05, -2.0247695312280447e-05, 2.0248190597759662e-05, -2.024828179105554e-05, 2.024827228873668e-05}; +}; + +struct case_zeta_3_100Hz_1000Hz_z50 +{ + static constexpr int order = 3; + static constexpr double cutoff_hz = 100.0; + static constexpr double sample_rate_hz = 1000.0; + + static constexpr double b[4] = {0, 0.029900508671613483, 0.08647989552551677, 0.015951565293872046}; + static constexpr double a[4] = {1, -1.7833136068783788, 1.2002551197054103, -0.2846095433360295}; + static constexpr double step[256] = {0, 0.029900508671613483, 0.16970238816380354, 0.39907630880836936, 0.64883399107046813, 0.85871199077012372, 0.99849935340593921, 1.0669603355042703, 1.0810005203975253, 1.0636527463411003, 1.0353490698688281, 1.0096924637286808, 0.99297297943287144, 0.9858958720266382, 0.9860407017595425, 0.99003478819970359, 0.99496945196005915, 0.99901680221506517, 1.0014483966720071, 1.0023312916880216, 1.0021391511953315, 1.00142886016512, 1.0006440864634756, 1.0000424342706242, 0.99970927277596866, 0.99961392338916633, 0.99967252836406861, 0.99979666206206175, 0.99992055310816341, 1.0000091771250468, 1.0000538503129803, 1.0000624057609462, 1.0000492668261596, 1.0000282816803696, 1.0000090636202237, 0.99999623985451014, 0.9999904650609428, 0.99999008894012675, 0.99999269965819848, 0.99999616326683438, 0.99999909939193832, 1.000000921245068, 1.0000016318574281, 1.0000015480627977, 1.0000010642313573, 1.0000005042301596, 1.0000000624448158, 0.99999980904425989, 0.99999972802503634, 0.9999997619513421, 0.99999984757610627, 0.99999993649284691, 1.0000000019434692, 1.0000000363093062, 1.0000000443434796, 1.0000000360510302, 1.0000000214007798, 1.0000000075144464, 0.99999999797468675, 0.99999999345984514, 0.99999999290642894, 0.9999999946233693, 0.99999999706448617, 0.99999999919948901, 1.0000000005655634, 1.0000000011339194, 1.0000000011154808, 1.0000000007892245, 1.0000000003912981, 1.0000000000680134, 0.99999999987625277, 0.99999999980905407, 0.99999999982736942, 0.99999999988610999, 0.99999999994975441, 0.99999999999796141, 1.0000000000242582, 1.0000000000314067, 1.0000000000263121, 1.0000000000161311, 1.0000000000061247, 0.99999999999904987, 0.99999999999554579, 0.99999999999494071, 0.99999999999605382, 0.99999999999776779, 0.9999999999993161, 1.0000000000003368, 1.0000000000007865, 1.0000000000008038, 1.0000000000005858, 1.000000000000304, 1.0000000000000682, 0.99999999999992362, 0.99999999999986899, 0.99999999999987788, 0.99999999999991807, 0.99999999999996358, 0.99999999999999911, 1.0000000000000193, 1.0000000000000255, 1.0000000000000224, 1.0000000000000151, 1.0000000000000075, 1.000000000000002, 0.99999999999999911, 0.99999999999999845, 0.99999999999999933, 1.0000000000000007, 1.000000000000002, 1.0000000000000029, 1.0000000000000031, 1.0000000000000029, 1.0000000000000024, 1.0000000000000022, 1.0000000000000022, 1.0000000000000024, 1.0000000000000027, 1.0000000000000027, 1.0000000000000027, 1.0000000000000027, 1.0000000000000027, 1.0000000000000027, 1.0000000000000027, 1.0000000000000027, 1.0000000000000027, 1.0000000000000027, 1.0000000000000027, 1.0000000000000027, 1.0000000000000027, 1.0000000000000027, 1.0000000000000027, 1.0000000000000027, 1.0000000000000027, 1.0000000000000027, 1.0000000000000027, 1.0000000000000027, 1.0000000000000027, 1.0000000000000027, 1.0000000000000027, 1.0000000000000027, 1.0000000000000027, 1.0000000000000027, 1.0000000000000027, 1.0000000000000027, 1.0000000000000027, 1.0000000000000027, 1.0000000000000027, 1.0000000000000027, 1.0000000000000027, 1.0000000000000027, 1.0000000000000027, 1.0000000000000027, 1.0000000000000027, 1.0000000000000027, 1.0000000000000027, 1.0000000000000027, 1.0000000000000027, 1.0000000000000027, 1.0000000000000027, 1.0000000000000027, 1.0000000000000027, 1.0000000000000027, 1.0000000000000027, 1.0000000000000027, 1.0000000000000027, 1.0000000000000027, 1.0000000000000027, 1.0000000000000027, 1.0000000000000027, 1.0000000000000027, 1.0000000000000027, 1.0000000000000027, 1.0000000000000027, 1.0000000000000027, 1.0000000000000027, 1.0000000000000027, 1.0000000000000027, 1.0000000000000027, 1.0000000000000027, 1.0000000000000027, 1.0000000000000027, 1.0000000000000027, 1.0000000000000027, 1.0000000000000027, 1.0000000000000027, 1.0000000000000027, 1.0000000000000027, 1.0000000000000027, 1.0000000000000027, 1.0000000000000027, 1.0000000000000027, 1.0000000000000027, 1.0000000000000027, 1.0000000000000027, 1.0000000000000027, 1.0000000000000027, 1.0000000000000027, 1.0000000000000027, 1.0000000000000027, 1.0000000000000027, 1.0000000000000027, 1.0000000000000027, 1.0000000000000027, 1.0000000000000027, 1.0000000000000027, 1.0000000000000027, 1.0000000000000027, 1.0000000000000027, 1.0000000000000027, 1.0000000000000027, 1.0000000000000027, 1.0000000000000027, 1.0000000000000027, 1.0000000000000027, 1.0000000000000027, 1.0000000000000027, 1.0000000000000027, 1.0000000000000027, 1.0000000000000027, 1.0000000000000027, 1.0000000000000027, 1.0000000000000027, 1.0000000000000027, 1.0000000000000027, 1.0000000000000027, 1.0000000000000027, 1.0000000000000027, 1.0000000000000027, 1.0000000000000027, 1.0000000000000027, 1.0000000000000027, 1.0000000000000027, 1.0000000000000027, 1.0000000000000027, 1.0000000000000027, 1.0000000000000027, 1.0000000000000027, 1.0000000000000027, 1.0000000000000027, 1.0000000000000027, 1.0000000000000027, 1.0000000000000027, 1.0000000000000027, 1.0000000000000027, 1.0000000000000027, 1.0000000000000027, 1.0000000000000027, 1.0000000000000027, 1.0000000000000027, 1.0000000000000027, 1.0000000000000027, 1.0000000000000027, 1.0000000000000027, 1.0000000000000027, 1.0000000000000027}; + static constexpr double impulse[256] = {0, 0.029900508671613483, 0.13980187949219006, 0.22937392064456585, 0.24975768226209877, 0.20987799969965557, 0.13978736263581543, 0.068460982098330847, 0.014040184893254565, -0.017347774056425541, -0.028303676472272714, -0.025656606140147312, -0.016719484295809064, -0.0070771074062328555, 0.0001448297329045365, 0.0039940864401611471, 0.0049346637603555968, 0.0040473502550058289, 0.0024315944569419067, 0.00088289501601446132, -0.00019214049268995561, -0.00071029103021140428, -0.00078477370164428749, -0.00060165219285135082, -0.0003331614946554518, -9.5349386802290933e-05, 5.8604974902333879e-05, 0.00012413369799328189, 0.00012389104610164713, 8.8624016883234757e-05, 4.4673187933411289e-05, 8.5554479657388869e-06, -1.313893478665474e-05, -2.0985145790087593e-05, -1.9218060146067757e-05, -1.2823765713524324e-05, -5.7747935673808474e-06, -3.7612081604041766e-07, 2.6107180718412658e-06, 3.4636086362459984e-06, 2.9361251043915996e-06, 1.8218531300544675e-06, 7.1061236017519857e-07, -8.3794630444465449e-08, -4.838314407110697e-07, -5.600011981424263e-07, -4.4178534423248856e-07, -2.5340055597002508e-07, -8.1019223496975837e-08, 3.3926305883783302e-08, 8.5624764194746061e-08, 8.8916740543626551e-08, 6.5450622117073202e-08, 3.4365836970748097e-08, 8.0341733188276316e-09, -8.2924494958180975e-09, -1.4650250512162583e-08, -1.3886333720908207e-08, -9.5397599561015987e-09, -4.5148417016365357e-09, -5.5341601027815452e-10, 1.7169408410139438e-09, 2.4411173287114336e-09, 2.1350032356592876e-09, 1.3660744979890373e-09, 5.6835596423995379e-10, -1.8438689608814032e-11, -3.2625628293085905e-10, -3.9792660564188317e-10, -3.2328498348555583e-10, -1.9176071595603974e-10, -6.7198746989720748e-11, 1.8315349695445267e-11, 5.8740722640785632e-11, 6.3644633028530964e-11, 4.8207210312622249e-11, 2.6296947711902982e-11, 7.1486236316049067e-12, -5.0945762185643165e-12, -1.0181036925109462e-11, -1.000662398434544e-11, -7.0750720279824862e-12, -3.5041908189108673e-12, -6.0516042711143552e-13, 1.1130991278566972e-12, 1.7140255726623886e-12, 1.5484077665114925e-12, 1.0208273045891022e-12, 4.4979890890140561e-13, 1.7570943259578059e-14, -2.1800174806227174e-13, -2.8183803619260986e-13, -2.3594703252459967e-13, -1.4453538569825464e-13, -5.4769080999664473e-14, 8.6561121016829249e-15, 4.0037282245526213e-14, 4.5421684211839619e-14, 3.5409766620348517e-14, 2.0024102225867367e-14, 6.1359450923508772e-15, -3.0137593324011076e-15, -7.0401269464349388e-15, -7.1911255787852344e-15, -5.2318283499036887e-15, -2.7024927081063187e-15, -5.8652622351389213e-16, 7.0869223620925324e-16, 1.1986463950119671e-15, 1.1200199806260302e-15, 7.6036597280981595e-16, 3.5280747270604709e-16, 3.5301590183502567e-17, -1.4409775697741793e-16, -1.9893003139756773e-16, -1.7175339179665146e-16, -1.0853496877948223e-16, -4.402138420775431e-17, 2.8830640876720338e-18, 2.7088211288605289e-17, 3.231745728891029e-17, 2.593994459361502e-17, 1.5179426033229226e-17, 5.1329824470788583e-18, -1.6827105838786831e-18, -4.8414796307131149e-18, -5.1532987193773676e-18, -3.8578525037061242e-18, -2.0724189986528804e-18, -5.3204377600547359e-19, 4.406489687648082e-19, 8.3457334310566862e-19, 8.0799008182175157e-19, 5.6461168107490996e-19, 2.7461299914733966e-19, 4.2004725356822272e-20, -9.4004187169323443e-20, -1.398978524624802e-19, -1.2469779124391821e-19, -8.1216643001010685e-20, -3.4981846115254388e-20, -3.9309202475215084e-22, 1.8171101864282031e-20, 2.2920416673857545e-20, 1.8952455144865456e-20, 1.1459492688517715e-20, 4.211457243363142e-21, -8.499161578673652e-22, -3.3090091858561143e-21, -3.6822639638093009e-21, -2.8368704638675522e-21, -1.581149117778769e-21, -4.6272390322301455e-22, 2.6520008356137014e-22, 5.7831152305658715e-22, 5.8130741125356674e-22, 4.1801052460950748e-22, 2.1231963835781108e-22, 4.235886469240251e-23, -6.032880865631643e-23, -9.7998434261248532e-23, -9.02962426790516e-23, -6.0573550456048209e-23, -2.7534398802250814e-23, -2.0979263815079354e-24, 1.206723193450201e-23, 1.6201153117183959e-23, 1.3810890021541972e-23, 8.6180804946938778e-24, 3.4031515455154436e-24, -3.4429767630759928e-25, -2.2458528425862725e-24, -2.6232454772672604e-24, -2.0804633857993122e-24, -1.2007460021024865e-24, -3.9082055113224137e-25, 1.5212619564780754e-25, 3.986293107229886e-25, 4.1705957016118432e-25, 3.0858770236015201e-25, 1.6318447031132105e-25, 3.9324250509013265e-26, -3.7908519886723786e-26, -6.8358054757798467e-26, -6.5211897135422847e-26, -4.5035284829307599e-26, -2.1496477571210131e-26, -2.8410580327158973e-27, 7.9172879635268558e-27, 1.1410899139203975e-26, 1.0037854059971668e-26, 6.4579873284944441e-27, 2.7162817426778959e-27, -5.0381102103069669e-29, -1.5120715486887424e-27, -1.8629478852591367e-27, -1.5216876374756878e-27, -9.0798352526606734e-28, -3.2301874483817609e-28, 8.0681328260032552e-29, 2.7316423627735997e-28, 2.983651046998489e-28, 2.2717445390844517e-28, 1.2475419887529565e-28, 3.4726115195664616e-29, -2.3153294577871333e-29, -4.7463547244707537e-29, -4.696914548939169e-29, -3.3381999271375127e-29, -1.6664194690041013e-29, -3.0184366555695904e-30, 5.1176302648419762e-30, 8.0064448948239148e-30, 7.2764643193950865e-30, 4.8229677677299493e-30, 2.1459611182818809e-30, 1.0908109371592252e-31, -1.0085123663317845e-30, -1.318657952889104e-30, -1.1100630189605012e-30, -6.8389677113977867e-31, -2.6254623375896175e-31, 3.6713800912928122e-32, 1.8595113423373832e-31, 2.1282009668917378e-31, 1.6678527147586178e-31, 9.4915500819508394e-32, 2.964985866618077e-32, -1.3579139446676289e-32, -3.2789401463831241e-32, -3.3736721414821649e-32, -2.4672260048291921e-32, -1.2837881033228694e-32, -2.882754367904197e-33, 3.2459166813179599e-33, 5.5947446152484814e-33, 5.2607966802939229e-33, 3.5903482994691967e-33, 1.6807365366516393e-33, 1.8521934818714533e-34, -6.6516105918357159e-34, -9.3014758037321511e-34, -8.0766667566625927e-34, -5.1321976241246135e-34, -2.1055460123028782e-34, 1.0640118275624597e-35, 1.2562666359266454e-34, 1.5133503323348979e-34, 1.2212205701753598e-34, 7.1895824906001858e-35, 2.4706573367691337e-35, -7.4766605839120694e-36, -2.2525183833986182e-35, -2.4163840120867602e-35, -1.8183666617395137e-35, -9.8352895694774763e-36}; + static constexpr double chirp_in[4096] = {1, 0.99999992642979929, 0.99999882287700514, 0.99999404081958787, 0.9999811660875062, 0.99995401897637071, 0.99990465453387189, 0.99982336314626385, 0.99969867158853654, 0.99951734473821929, 0.99926438818900221, 0.998923052036508, 0.99847483614453059, 0.99789949723582638, 0.99717505818699503, 0.99627781994202647, 0.99518237649358454, 0.9938616334148932, 0.99228683045801158, 0.99042756876612315, 0.98825184327798898, 0.98572608093165093, 0.98281518530153245, 0.97948258832792745, 0.9756903098201305, 0.97139902543374301, 0.96656814383854717, 0.96115589380530031, 0.95511942194735522, 0.94841490185561306, 0.94099765536237645, 0.93282228666059408, 0.92384282998911005, 0.91401291157120323, 0.90328592646221384, 0.89161523092170281, 0.87895435087564089, 0.86525720697385833, 0.85047835667664762, 0.83457325372130264, 0.81749852522376165, 0.79921226656174948, 0.77967435406322239, 0.75884677538693723, 0.73669397733007314, 0.7131832306305963, 0.68828501114913054, 0.66197339661628929, 0.6342264779166199, 0.60502678364962148, 0.57436171646195799, 0.54222399938345511, 0.50861213012343165, 0.4735308409942906, 0.43699156182725674, 0.39901288293222104, 0.35962101483159181, 0.31885024116901001, 0.27674336086026408, 0.2333521152185779, 0.18873759545291671, 0.14297062560971868, 0.096132115709591626, 0.048313379525507044, -0.00038358883718521143, -0.049845885660697295, -0.099949521968676278, -0.15055930804420456, -0.20152880479580074, -0.25270034875965974, -0.30390515757424702, -0.35496352274746379, -0.4056850964493664, -0.45586927889726703, -0.50530571264738766, -0.55377488976053313, -0.60104887736125978, -0.64689216655377857, -0.69106264898686465, -0.73331272456861973, -0.77339054291489417, -0.81104138006864557, -0.8460091508484886, 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-0.88077723780042294, 0.86099576136681266, -0.84023397603959249, 0.81860162390640867, -0.796205118714578, 0.77314731759783095, -0.74952733250471737, 0.72544037896198199, -0.70097765980604587, 0.67622628148050334, -0.65126920047273773, 0.62618519753795332, -0.60104887736144608, 0.57593069136480424, -0.55089698145218191, 0.52601004251397765, -0.50132820166018488, 0.47690591218530526, -0.45279386036808306, 0.4290390833651167, -0.40568509645037554, 0.3827720280763382, -0.36033676125198227, 0.33841307983513402, -0.31703181849472845, 0.29622101515464083, -0.2760060647928777, 0.25640987367073959, -0.23745301300816751, 0.2191538713382635, -0.20152880479604404, 0.18459228461925636, -0.16835704134700888, 0.15283420512977428, -0.13803344170061341, 0.12396308361540023, -0.110630256377754, 0.098040999160336914, -0.086200379880266867, 0.075112604335562244, -0.064781119288953887, 0.055208709333225685, -0.046397587328288914, 0.038349478447046295, -0.03106569760236999, 0.024547220292490568, -0.018794746789342908, 0.013808759594209193, -0.0095895741816169593, 0.0061373830151254354, -0.0034522927602768901, 0.0015343547837478589, -0.00038358883724551112, -4.1594761818964385e-13}; + static constexpr double chirp[4096] = {0, 0.029900508671613483, 0.1697023859640171, 0.39907626332654073, 0.64883363144885009, 0.85871030614589883, 0.99849366921672622, 1.0669449906969672, 1.0809652383439123, 1.0635808209649782, 1.0352154764321049, 1.0094619701231655, 0.99259829657638488, 0.98531585247117282, 0.98517857821322863, 0.98879643746545021, 0.99324167128810448, 0.99666559027327717, 0.99831723712478382, 0.99823944193508773, 0.99687994155909465, 0.99476800994302483, 0.99231804336228335, 0.98975674342487907, 0.98713698127637384, 0.98439402624717554, 0.98140846217278521, 0.97805485322223606, 0.97422902826803226, 0.96985624433447937, 0.96488686024571946, 0.95928660317778225, 0.95302674322780323, 0.94607704083812505, 0.93840221238641819, 0.92996131735148579, 0.92070892402981452, 0.91059694369480482, 0.89957635572792471, 0.88759844441037206, 0.8746154882160212, 0.86058103014595977, 0.84544992141484121, 0.82917831033750278, 0.81172368863900179, 0.79304504377114904, 0.77310311805005505, 0.75186074963489924, 0.72928326356626461, 0.70533888629034158, 0.67999916717675268, 0.65323940029863947, 0.62503904649949782, 0.59538215893796009, 0.56425781558155763, 0.53166056070297862, 0.49759085542974285, 0.46205553556650497, 0.42506827360015936, 0.38665004104851658, 0.34682956698262229, 0.30564378844570161, 0.26313828844035592, 0.21936771705523772, 0.17439619111260951, 0.12829766744555346, 0.081156284589200781, 0.033066667330886521, -0.01586581175960191, -0.065524819985988261, -0.11578290777423508, -0.1665014141090258, -0.21753044088782761, -0.26870890300179839, -0.31986466097349164, -0.37081474293792416, -0.42136566263910663, -0.4713138399205643, -0.52044612990731254, -0.56854046669997138, -0.61536662692148258, -0.66068711786617795, -0.70425819429345382, 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0.0098940731406628318, -0.0091120182253713426, 0.007793896352954896, -0.0060226094784454204, 0.0039062434883531828, -0.0015712006729684154, -0.00084553749833873697, 0.0032045380092994135, -0.0053719517862596024, 0.0072269994610038406, -0.0086684999127812495, 0.0096201053503689148, -0.010033993610065389, 0.0098928654611768405, -0.0092101956751703302, 0.0080287857927106715, -0.0064177582540318745, 0.0044682112724149566, -0.0022878176657814648, -5.3037813188645463e-06, 0.0022890905015720709, -0.0044440528781689546, 0.0063594609200422515, -0.0079388883191774742, 0.0091048483045298723, -0.0098023144193932869, 0.010000985888791461, -0.0096962279367331303, 0.0089086880847106739, -0.0076826567222147389, 0.0060833006157079532, -0.0041929489469601129, 0.0021066508359990719, 7.2750237353001301e-05, -0.002239766700491184, 0.0042913838469012099, -0.0061318984726871396, 0.0076772584584478901, -0.0088587162217143717, 0.0096256499539625305, -0.0099474523460194655, 0.0098144347796879673, -0.0092377431301765255, 0.0082483272688637609, -0.0068950479096084594, 0.0052420400371025987, -0.0033654804139795387, 0.0013499267484184986, 0.00071559242385014522, -0.0027415552750619, 0.0046418151804476972, -0.0063371966803645388, 0.0077586748660743617, -0.0088500188533344876, 0.009569808586017841, -0.0098927651546545439, 0.0098103666682970332, -0.0093307530442454656, 0.0084779525580610006, -0.0072904895300539944, 0.0058194551095347713, -0.004126141117741065, 0.0022793498017989883, -0.00035249994724798165, -0.0015793478977172573, 0.0034424270974308287, -0.0051670488923867899, 0.0066901334912751083, -0.0079574019024042757, 0.0089251594376404397, -0.0095616208626485774, 0.0098477470268051211, -0.0097775827372500942, 0.0093581047914988412, -0.0086086068272658647, 0.0075596633803245716, -0.0062517287813451533, 0.0047334369746207475, -0.0030596757424782503, 0.0012895131531458514, 0.00051594470454232634, -0.0022956872726908112, 0.0039908512339191307, -0.0055466238838891221, 0.0069139402238975224, -0.0080509259213938505, 0.0089240493790425438, -0.0095089579163178464, 0.0097909848842781221, -0.0097653261909441194, 0.0094368956129826272, -0.0088198782988303318, 0.0079370105623478258, -0.0068186213763707752, 0.0055014766482309255, -0.0040274713754665774, 0.0024422171108499568, -0.00079357282337797212, -0.0008698336189927134, 0.0025000484541370036, -0.0040511581507019622, 0.0054805419279365247, -0.0067499793522468182, 0.0078265877666222373, -0.0086835707212666174, 0.0093007651427708532, -0.0096649815368969848, 0.0097701377361834492, -0.0096171926275037539, 0.0092138915168808004, -0.0085743394624155783, 0.0077184227098344577, -0.0066711014222825722, 0.0054615990613500268, -0.0041225151078146532, 0.0026888883223897863, -0.0011972374621891727, -0.00031539460794209693, 0.0018123691036487193, -0.0032583296549523241, 0.0046200112517941188, -0.0058669632013449678, 0.0069721726907408833, -0.0079125788467761422, 0.0086694705497649162, -0.009228764526248226, 0.009581163425547809, -0.0097221964965784891, 0.0096521481876856614, -0.0093758823201636234, 0.0089025715155862835, -0.0082453431689168549, 0.0074208545125164574, -0.0064488101715371171, 0.0053514360745958098, -0.0041529237260504101, 0.0028788585904385884, -0.001555645861209755, 0.00020994604649138119, 0.0011318681574907872, -0.0024442234935848732, 0.0037028173500913905, -0.0048850411158449635, 0.0059703497240507948, -0.0069405729661098717, 0.007780165658002991, -0.0084763952044934199, 0.0090194664783133892, -0.0094025852304208436, 0.0096219623842465352, -0.0096767626122969165, 0.0095690014520691986, -0.0093033959533037405, 0.0088871744073012494, -0.0083298511251442379, 0.0076429724886244929, -0.0068398406176859682, 0.0059352209792630714, -0.004945040122825841, 0.0038860794831109945, -0.0027756708417933269, 0.0016313986244633864, -0.00047081371068983537, -0.00068883708412335919, 0.0018308622970140105, -0.0029393548687962363, 0.0039993966048875226, -0.0049972362273920413, 0.0059204398404715218, -0.006758013130844516, 0.007500495195831975, -0.0081400243324168189, 0.0086703765898948626, -0.0090869782509437926, 0.0093868937665423369, -0.0095687909219227159, 0.0096328852785993388, -0.0095808660707703865, 0.0094158059011578109, -0.0091420566228698694, 0.0087651338499158161, -0.0082915925143174259, 0.0077288958408829253, -0.0070852800353459651, 0.0063696168556933858, -0.0055912761166359189, 0.0047599900044166549, -0.0038857209179159104, 0.0029785343640814088, -0.0020484782408825885, 0.001105469654403125, -0.00015919021015390857, -0.00078100946180359974, 0.0017061953834030122, -0.0026079257228784763, 0.003478315875669144, -0.0043100930855782382, 0.0050966406711266295, -0.0058320320846603213, 0.0065110551189517599, -0.0071292266999354523, 0.0076827987731047653, -0.0081687558762057327, 0.0085848050324949417, -0.0089293586631142216, 0.0092015112179633755, -0.0094010102786622127, 0.0095282228539549027, -0.0095840976223367375, 0.0095701238306638778, -0.0094882875636907726, 0.0093410260487743896, -0.0091311806442351297, 0.0088619491076399985, -0.0085368377038392111, 0.0081596136676642048, -0.0077342584803387036, 0.0072649223838245243, -0.0067558804875660142, 0.0062114907976370433, -0.0056361544236818162, 0.0050342781947859735, -0.0044102398539817463, 0.0037683559681756067, -0.0031128526405614903, 0.0024478390922481365, -0.001777284111953944, 0.0011049953895584151, -0.00043460167002951186, -0.00023046233058988128, 0.00088696831593067628, -0.0015319042585592085, 0.0021624817654165079, -0.0027761411652560616, 0.0033705544043058071, -0.0039436259449352751, 0.0044934918000266826, -0.005018516891998271, 0.0055172908616050939, -0.0059886225448436796, 0.0064315332128474963, -0.0068452487979128417, 0.0072291912064407909, -0.0075829688935305402, 0.0079063668357699443, -0.0081993360217210293, 0.0084619825993424019, -0.0086945567918454633, 0.0088974416778152404, -0.0090711419562460698, 0.0092162727621505382, -0.0093335486292761977, 0.0094237726651247508, -0.0094878260020943017, 0.0095266575779880437, -0.0095412743000928488, 0.0095327316180743166, -0.0095021245564054398, 0.0094505792129970685, -0.0093792447585536176, 0.0092892859407513566, -0.0091818761041280415, 0.0090581907324008941, -0.0089194015038055428, 0.0087666708656437102, -0.0086011471089213164, 0.0084239599379987741, -0.0082362165210188194, 0.0080389980002871439, -0.0078333564485231766, 0.0076203122528211396, -0.0074008518949606958, 0.0071759261244545847, -0.0069464484810367565, 0.0067132941596554849, -0.0064772991882248998, 0.0062392598944171901, -0.0059999326402257261, 0.005760033804742451, -0.0055202399852624408, 0.0052811884044981043, -0.0050434774984003394, 0.0048076676602643899, -0.0045742821377850011, 0.0043438080417229283, -0.0041166974707250552, 0.0038933687267276862, -0.0036742075950399397, 0.0034595687057548501, -0.003249776921285941, 0.0030451287757888457, -0.002845893932333159, 0.0026523166542485269, -0.0024646172798918576, 0.0022829937013722195, -0.0021076228128182441, 0.0019386619636137491, -0.00177625036398644, 0.0016205104688601915, -0.0014715493314157811, 0.0013294598964396654, -0.0011943222718653135, 0.0010662049331189088, -0.00094516588527562145, 0.00083125377041733594, -0.00072450891799507016, 0.00062496433204779463, -0.0005326466322714404, 0.00044757692038197255, -0.00036977158744438835, 0.00029924307701661578, -0.00023600054554936587, 0.0001800505113013286, -0.00013139739022718217, 9.004400108637671e-05, -5.5991992511144397e-05, 2.9242206981885044e-05, -9.7949795068840104e-06, -2.3496176302055183e-06}; +}; + +struct case_mz_zeta_3_100Hz_1000Hz_z50 +{ + static constexpr int order = 3; + static constexpr double cutoff_hz = 100.0; + static constexpr double sample_rate_hz = 1000.0; + + static constexpr double b[4] = {0, 0.033082992372750579, 0.066165984745501158, 0.033082992372750579}; + static constexpr double a[4] = {1, -1.7833136068783788, 1.2002551197054103, -0.28460954333602917}; + static constexpr double step[256] = {0, 0.033082992372750579, 0.15824632757283147, 0.37482676771959694, 0.62024541509512843, 0.83357472590110337, 0.98108366078941411, 1.0579372431894731, 1.0786584858475385, 1.0653495046842689, 1.0386179028857399, 1.0128187098543129, 0.99510753674035202, 0.98688050527216542, 0.98612435776963958, 0.98960967738733674, 0.99439117352788386, 0.99851960114621863, 1.001134822295237, 1.002204274803062, 1.0021475013380554, 1.0015069574945457, 1.000737185974522, 1.0001170997062956, 0.99975290874385292, 0.9996286194423375, 0.99966761223734901, 0.99978267526622377, 0.99990569350807468, 0.99999806634474753, 1.0000478908427963, 1.0000608847436196, 1.0000505450257564, 1.000030690597848, 1.0000113924138834, 0.99999786529619794, 0.99999125418761203, 0.9999902080526456, 0.99999242753606532, 0.99999575961530185, 0.99999874007121081, 1.0000006874997875, 1.000001531409753, 1.0000015472209529, 1.0000011167667822, 1.0000005703393586, 1.0000001170427397, 0.9999998420136591, 0.9999997401036852, 0.99999975945876063, 0.99999983801699688, 0.999999925875389, 0.99999999377316917, 1.0000000317621431, 1.0000000430190759, 1.0000000368216129, 1.000000023070426, 1.0000000091901147, 0.99999999917824212, 0.99999999407012929, 0.9999999930270943, 0.99999999444859988, 0.9999999967816805, 0.99999999893926794, 1.0000000003912051, 1.000000001054826, 1.000000001109645, 1.0000000008241254, 1.0000000004380305, 1.0000000001078007, 0.99999999990104815, 0.99999999981881726, 0.99999999982634302, 0.99999999987961796, 0.99999999994218725, 0.99999999999196654, 1.000000000020802, 1.0000000000302847, 1.0000000000267528, 1.0000000000172797, 1.0000000000073241, 0.99999999999993539, 0.99999999999601197, 0.99999999999505007, 0.99999999999594091, 0.99999999999756761, 0.99999999999912548, 1.0000000000002045, 1.0000000000007219, 1.0000000000007931, 1.0000000000006062, 1.0000000000003344, 1.0000000000000944, 0.99999999999993938, 0.99999999999987377, 0.99999999999987454, 0.99999999999991041, 0.99999999999995481, 0.99999999999999123, 1.0000000000000131, 1.0000000000000209, 1.0000000000000189, 1.0000000000000122, 1.0000000000000049, 0.99999999999999944, 0.99999999999999678, 0.99999999999999634, 0.99999999999999722, 0.99999999999999856, 0.99999999999999967, 1.0000000000000002, 1.0000000000000004, 1.0000000000000004, 1.0000000000000004, 1.0000000000000004, 1.0000000000000004, 1.0000000000000004, 1.0000000000000004, 1.0000000000000004, 1.0000000000000004, 1.0000000000000004, 1.0000000000000004, 1.0000000000000004, 1.0000000000000004, 1.0000000000000004, 1.0000000000000004, 1.0000000000000004, 1.0000000000000004, 1.0000000000000004, 1.0000000000000004, 1.0000000000000004, 1.0000000000000004, 1.0000000000000004, 1.0000000000000004, 1.0000000000000004, 1.0000000000000004, 1.0000000000000004, 1.0000000000000004, 1.0000000000000004, 1.0000000000000004, 1.0000000000000004, 1.0000000000000004, 1.0000000000000004, 1.0000000000000004, 1.0000000000000004, 1.0000000000000004, 1.0000000000000004, 1.0000000000000004, 1.0000000000000004, 1.0000000000000004, 1.0000000000000004, 1.0000000000000004, 1.0000000000000004, 1.0000000000000004, 1.0000000000000004, 1.0000000000000004, 1.0000000000000004, 1.0000000000000004, 1.0000000000000004, 1.0000000000000004, 1.0000000000000004, 1.0000000000000004, 1.0000000000000004, 1.0000000000000004, 1.0000000000000004, 1.0000000000000004, 1.0000000000000004, 1.0000000000000004, 1.0000000000000004, 1.0000000000000004, 1.0000000000000004, 1.0000000000000004, 1.0000000000000004, 1.0000000000000004, 1.0000000000000004, 1.0000000000000004, 1.0000000000000004, 1.0000000000000004, 1.0000000000000004, 1.0000000000000004, 1.0000000000000004, 1.0000000000000004, 1.0000000000000004, 1.0000000000000004, 1.0000000000000004, 1.0000000000000004, 1.0000000000000004, 1.0000000000000004, 1.0000000000000004, 1.0000000000000004, 1.0000000000000004, 1.0000000000000004, 1.0000000000000004, 1.0000000000000004, 1.0000000000000004, 1.0000000000000004, 1.0000000000000004, 1.0000000000000004, 1.0000000000000004, 1.0000000000000004, 1.0000000000000004, 1.0000000000000004, 1.0000000000000004, 1.0000000000000004, 1.0000000000000004, 1.0000000000000004, 1.0000000000000004, 1.0000000000000004, 1.0000000000000004, 1.0000000000000004, 1.0000000000000004, 1.0000000000000004, 1.0000000000000004, 1.0000000000000004, 1.0000000000000004, 1.0000000000000004, 1.0000000000000004, 1.0000000000000004, 1.0000000000000004, 1.0000000000000004, 1.0000000000000004, 1.0000000000000004, 1.0000000000000004, 1.0000000000000004, 1.0000000000000004, 1.0000000000000004, 1.0000000000000004, 1.0000000000000004, 1.0000000000000004, 1.0000000000000004, 1.0000000000000004, 1.0000000000000004, 1.0000000000000004, 1.0000000000000004, 1.0000000000000004, 1.0000000000000004, 1.0000000000000004, 1.0000000000000004, 1.0000000000000004, 1.0000000000000004, 1.0000000000000004, 1.0000000000000004, 1.0000000000000004, 1.0000000000000004, 1.0000000000000004, 1.0000000000000004, 1.0000000000000004, 1.0000000000000004, 1.0000000000000004, 1.0000000000000004, 1.0000000000000004, 1.0000000000000004, 1.0000000000000004, 1.0000000000000004, 1.0000000000000004, 1.0000000000000004}; + static constexpr double impulse[256] = {0, 0.033082992372750579, 0.12516333520008088, 0.21658044014676545, 0.24541864737553154, 0.21332931080597506, 0.14750893488831068, 0.076853582400058962, 0.020721242658065325, -0.013308981163269611, -0.026731601798529112, -0.025799193031427272, -0.017711173113961164, -0.0082270314681866692, -0.00075614750252577488, 0.0034853196176974051, 0.0047814961405472037, 0.0041284276183347277, 0.0026152211490183394, 0.0010694525078251672, -5.6773465006204095e-05, -0.00064054384350930942, -0.00076977152002352211, -0.00062008626822658932, -0.00036419096244315417, -0.00012428930151599899, 3.8992795011033983e-05, 0.00011506302887452843, 0.00012301824185094671, 9.2372836673070089e-05, 4.9824498049122739e-05, 1.2993900823520882e-05, -1.0339717863022749e-05, -1.9854427908079491e-05, -1.9298183964325507e-05, -1.3527117685347711e-05, -6.6111085860438074e-06, -1.0461349666475737e-06, 2.2194834195940629e-06, 3.3320792364058155e-06, 2.9804559088849455e-06, 1.9474285767479696e-06, 8.4390996547597589e-07, 1.5811200072113731e-08, -4.3045417049550647e-07, -5.4642742332658163e-07, -4.5329661882188896e-07, -2.7502908079368665e-07, -1.0190997399977173e-07, 1.9355075301416685e-08, 7.8558236100624249e-08, 8.7858391986336747e-08, 6.7897779975658642e-08, 3.7988973818623533e-08, 1.1256932711151211e-08, -6.1974628902450188e-09, -1.3751186528713482e-08, -1.3880311005891383e-08, -1.0011872534432016e-08, -5.1081130913257521e-09, -1.0430352906935889e-09, 1.4215053935865128e-09, 2.3330806240912203e-09, 2.1575874987774418e-09, 1.4519371817678782e-09, 6.6362090194802824e-10, 5.4819141079853599e-11, -2.8551948664599754e-10, -3.8609489845201231e-10, -3.3023000962446988e-10, -2.0675286171158171e-10, -8.2231224551968335e-11, 7.5255068942011922e-12, 5.3274949556080795e-11, 6.256962300327661e-11, 4.9779560202790888e-11, 2.8835615770744402e-11, 9.4826858062718727e-12, -3.5317549338322539e-12, -9.4729773808737849e-12, -9.9554196431642402e-12, -7.3888168704845432e-12, -3.9236340347469384e-12, -9.6201212357005662e-13, 8.9086473280880834e-13, 1.6266474855926256e-12, 1.5577598069600688e-12, 1.0791308922405345e-12, 5.1767901820343386e-13, 7.1304966199780714e-14, -1.8705682506028972e-13, -2.7182874316566798e-13, -2.3994591060582119e-13, -1.5487312418880054e-13, -6.5556096506626917e-14, 6.8928525540927195e-16, 3.5834883084574265e-14, 4.4419625759230961e-14, 3.6399298304347133e-14, 2.1795430424252741e-14, 7.8218929023558369e-15, -1.8516012404236989e-15, -6.487065188541703e-15, -7.1198923839992197e-15, -5.4378511469630405e-15, -2.9979873178136729e-15, -8.4593221777930164e-16, 5.421228608886663e-16, 1.1288537482857957e-15, 1.1216541280073528e-15, 7.9964191777769103e-16, 4.0102375271653056e-16, 7.4610278310237352e-17, -1.2069156674680794e-16, -1.9064709461200811e-16, -1.7388808980224951e-16, -1.1562181694973539e-16, -5.1739871913384544e-17, -2.9829496879140904e-18, 2.3874438868105003e-17, 3.1430251007287219e-17, 2.6545600858889719e-17, 1.6409704672953117e-17, 6.3475056777150723e-18, -8.2110746372961425e-19, -4.4125597465668018e-18, -5.0768787077892543e-18, -3.9911644735307757e-18, -2.2798048662028956e-18, -7.2011957658181264e-19, 3.1622492490091274e-19, 7.7940119813704096e-19, 8.0541327292603273e-19, 5.9082480186844809e-19, 3.0874952322240128e-19, 7.0685036392435536e-20, -7.637023170158903e-20, -1.3315908936093788e-19, -1.2568301841563216e-19, -8.6043054922422768e-20, -4.0488411921206341e-20, -4.7005051906191088e-21, 1.5725274262828353e-20, 2.2161512557743033e-20, 1.9308777314747021e-20, 1.2309699536503495e-20, 5.0839738214492814e-21, -2.1299790399243176e-22, -2.9784497043810682e-21, -3.608910592817199e-21, -2.9215410958968021e-21, -1.726105783992434e-21, -5.9872366948754851e-22, 1.7255676069211039e-22, 5.350777899605714e-22, 5.7669689795728851e-22, 4.3531286919107839e-22, 2.3640420403618377e-22, 6.3229774631664165e-23, -4.7092641845042534e-23, -9.2589917152132932e-23, -9.0597877359016923e-23, -6.3835920643690885e-23, -3.1450873795088731e-23, -5.2524011156614792e-24, 1.0214081690585827e-23, 1.5567913362068829e-23, 1.4008084404120075e-23, 9.2023649337692867e-24, 4.0282042912138613e-24, 1.2520040392259742e-25, -1.9925203584353383e-24, -2.557095709190596e-24, -2.1329375811747371e-24, -1.3016197039004384e-24, -4.8890071918886115e-25, 8.3358017631423546e-26, 3.6500568879433184e-25, 4.1172291355933897e-25, 3.1985561464845935e-25, 1.8011443734222763e-25, 5.4472458268406446e-26, -2.8007839104141235e-26, -6.406531973307232e-26, -6.5128622660208792e-26, -4.7221329279272362e-26, -2.4273077644239801e-26, -5.1450949704731605e-27, 6.518926882085497e-27, 1.0892368047062211e-26, 1.0135789654278102e-26, 6.8570198956805168e-27, 3.1627553535207352e-27, 2.9475388630270528e-28, -1.3189013881593625e-27, -1.8056442958741438e-27, -1.5531221295127096e-27, -9.7784193800341821e-28, -3.9355964441846667e-28, 2.9786143315901617e-29, 2.4718686536441166e-28, 2.9304989876134932e-28, 2.3438999192475883e-28, 1.3660796146810375e-28, 4.5691846539722338e-29, -1.5771884922684157e-29, -4.4088160197335401e-29, -4.6688394778435446e-29, -3.4831838661842816e-29, -1.8626018114901515e-29, -4.6969015806201184e-30, 4.06645140814651e-30, 7.5880957868984193e-30, 7.3143923314567605e-30, 5.0935554319645606e-30, 2.4639143425459169e-30, 3.621118497626245e-31, -8.6189232981455513e-31, -1.2703973851549041e-30, -1.1279657733972037e-30, -7.3201852859313437e-31, -3.1313912779898252e-31, -8.4610445207138524e-34, 1.6599851260219229e-31, 2.0792056328195492e-31, 1.7130619563454425e-31, 1.0317970991262318e-31, 3.7566818859173636e-32, -8.0931777234653018e-33, -3.0156510504133925e-32, -3.3372762360621044e-32, -2.5621990707790169e-32, -1.421904646565589e-32, -4.1023001702886474e-33, 2.4585325298532241e-33, 5.2612649741336014e-33, 5.264065383753279e-33, 3.772341025612367e-33, 1.9064518751041833e-33, 3.7023318542710723e-34, -5.5434248966838573e-34, -8.9034638342467918e-34, -8.1704251126920872e-34, -5.4617138556407039e-34, -2.4673648399357381e-34, -1.7001623477648293e-35, 1.1038191301608949e-34, 1.4702829502346054e-34, 1.2487227859708255e-34, 7.7630715556685574e-35, 3.0406975572615835e-35, -3.4116483237969258e-36, -2.0485724480062921e-35, -2.3783507412834078e-35, -1.8796344371988797e-35, -1.0803932830512197e-35}; + static constexpr double chirp_in[4096] = {1, 0.99999992642979929, 0.99999882287700514, 0.99999404081958787, 0.9999811660875062, 0.99995401897637071, 0.99990465453387189, 0.99982336314626385, 0.99969867158853654, 0.99951734473821929, 0.99926438818900221, 0.998923052036508, 0.99847483614453059, 0.99789949723582638, 0.99717505818699503, 0.99627781994202647, 0.99518237649358454, 0.9938616334148932, 0.99228683045801158, 0.99042756876612315, 0.98825184327798898, 0.98572608093165093, 0.98281518530153245, 0.97948258832792745, 0.9756903098201305, 0.97139902543374301, 0.96656814383854717, 0.96115589380530031, 0.95511942194735522, 0.94841490185561306, 0.94099765536237645, 0.93282228666059408, 0.92384282998911005, 0.91401291157120323, 0.90328592646221384, 0.89161523092170281, 0.87895435087564089, 0.86525720697385833, 0.85047835667664762, 0.83457325372130264, 0.81749852522376165, 0.79921226656174948, 0.77967435406322239, 0.75884677538693723, 0.73669397733007314, 0.7131832306305963, 0.68828501114913054, 0.66197339661628929, 0.6342264779166199, 0.60502678364962148, 0.57436171646195799, 0.54222399938345511, 0.50861213012343165, 0.4735308409942906, 0.43699156182725674, 0.39901288293222104, 0.35962101483159181, 0.31885024116901001, 0.27674336086026408, 0.2333521152185779, 0.18873759545291671, 0.14297062560971868, 0.096132115709591626, 0.048313379525507044, -0.00038358883718521143, -0.049845885660697295, -0.099949521968676278, -0.15055930804420456, -0.20152880479580074, -0.25270034875965974, -0.30390515757424702, -0.35496352274746379, -0.4056850964493664, -0.45586927889726703, -0.50530571264738766, -0.55377488976053313, -0.60104887736125978, -0.64689216655377857, -0.69106264898686465, -0.73331272456861973, -0.77339054291489417, -0.81104138006864557, -0.8460091508484886, -0.87803805587175265, -0.9068743608505454, -0.93226830418043516, -0.95397612713425417, -0.97176221914417393, -0.9854013687119787, -0.99468110844139446, -0.99940414055107041, -0.99939082701909576, -0.99448172624942033, -0.98454015586016352, -0.96945475889963473, -0.94914204852736517, -0.92354890398720091, -0.89265498858333392, -0.85647505838693705, -0.81506112859245528, -0.7685044628528731, -0.71693734959881206, -0.66053462833527321, -0.59951492826162256, -0.53414158132492895, -0.46472317204376912, -0.39161368717798556, -0.3152122296164856, -0.23596226275400647, -0.15435035416899404, -0.070904390633105427, 0.013808759593039822, 0.09918615657250443, 0.18459228461860086, 0.2693631422116452, 0.35281092692297711, 0.43422930879702298, 0.51289927740590668, 0.5880955389371294, 0.65909343027171097, 0.72517630714337644, 0.78564335324217838, 0.83981774665942033, 0.88705510950404776, 0.92675215601078931, 0.9583554441811033, 0.98137012613941343, 0.99536858315359633, 0.99999882287700514, 0.99499250904629088, 0.98017248784854372, 0.95545967068985072, 0.92087913039150604, 0.87656526714078131, 0.82276590205092281, 0.7598451601445787, 0.68828501114912999, 0.60868534583648182, 0.52176247787447139, 0.42834597636238814, 0.32937375243207906, 0.22588534448833064, 0.11901337075840943, 0.0099731446764950698, -0.099949521968675376, -0.20941227153109016, -0.31703181849493733, -0.42140110777252832, -0.52110785216033795, -0.61475425146856222, -0.70097765980614957, -0.77847193249159985, -0.84600915084848771, -0.90246139255836488, -0.94682218813969621, -0.97822728137500836, -0.99597429399523896, -0.99954088350734849, -0.98860097853545059, -0.9630386791909602, -0.92295942146047771, -0.86869802495628545, -0.80082327303127221, -0.72013871347380276, -0.6276794168385581, -0.52470448779900736, -0.41268519236054085, -0.29328863974147795, -0.16835704134703858, -0.039882659401103367, 0.09002134692995295, 0.21915387133951877, 0.34526219919889106, 0.46608122869670787, 0.57937497068616284, 0.68297963205683976, 0.7748475038260193, 0.85309080213204103, 0.91602455057213206, 0.96220754845479073, 0.99048044398756308, 0.99999992642979929, 0.99026806874157036, 0.96115589380530075, 0.91292030397297208, 0.84621360604462514, 0.7620849817471087, 0.66197339661628984, 0.54769160642970061, 0.42140110777252909, 0.2855780849582823, 0.14297062560971963, -0.0034522927617008812, -0.15055930804420603, -0.29512169978712482, -0.43388373911755923, -0.56363695259073099, -0.68129669877065169, -0.78397929272312616, -0.8690777846452038, -0.9343344109714895, -0.97790769530701704, -0.99843218742645046, -0.9950688952752843, -0.96754459005089155, -0.9161783491799238, -0.84189394582437793, -0.74621699410734765, -0.63125611230023981, -0.49966776553729064, -0.35460488704253801, -0.19964984230321187, -0.038732782291660182, 0.1239630836160234, 0.28410729153688535, 0.43733655464327453, 0.57937497068616117, 0.70615681024133081, 0.81394842128514178, 0.89946560517441376, 0.95998273974085324, 0.99342995728005579, 0.99847483614453048, 0.97458533851213081, 0.92207112396763224, 0.84210088492281143, 0.73669397733007302, 0.60868534583648282, 0.46166354924637748, 0.29988255844234957, 0.12814889944360713, -0.048313379525509959, -0.2240165573282355, -0.39337772332802823, -0.55089698145210475, -0.69133985418658528, -0.80991791317645134, -0.90246139255836466, -0.96557747552099782, -0.99678810088010106, -0.99464152469519274, -0.95879249417982837, -0.89004674065898659, -0.79036655916348131, -0.66283548908721601, -0.51158150864681218, -0.34165966256345809, -0.15889660674110515, 0.030298881123715433, 0.21915387133951658, 0.40077079795557791, 0.56838039236265869, 0.71559896074412133, 0.83668028795140859, 0.92675215601078997, 0.98202755565343003, 0.9999811660875062, 0.97948258832792812, 0.92087913039150737, 0.82602263024340583, 0.6982368180860713, 0.54222399938345556, 0.36391230372523414, 0.17024729818871898, -0.031065697601372073, -0.23185984575257096, -0.42383465395227493, -0.59890073081561812, -0.74952733250515868, -0.86907778464520447, -0.95211766591071434, -0.99468110844139468, -0.99448172624941999, -0.95105651629515231, -0.86583354565218051, -0.74211726695732327, -0.58498878606033655, -0.4011222042584015, -0.19852211184659407, 0.013808759593047724, 0.22625900242972455, 0.42903908336572988, 0.61263423194927435, 0.76825896913416514, 0.88829153315462384, 0.96666642869321839, 0.99920437022617881, 0.98386102377908657, 0.92087913039150748, 0.81283271986127859, 0.66455703958209811, 0.48296332366677897, 0.27674336086027079, 0.055974700631925785, -0.16835704134703514, -0.38489726725106244, -0.58249718413303753, -0.75079558121367618, 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0.18459228461925636, -0.16835704134700888, 0.15283420512977428, -0.13803344170061341, 0.12396308361540023, -0.110630256377754, 0.098040999160336914, -0.086200379880266867, 0.075112604335562244, -0.064781119288953887, 0.055208709333225685, -0.046397587328288914, 0.038349478447046295, -0.03106569760236999, 0.024547220292490568, -0.018794746789342908, 0.013808759594209193, -0.0095895741816169593, 0.0061373830151254354, -0.0034522927602768901, 0.0015343547837478589, -0.00038358883724551112, -4.1594761818964385e-13}; + static constexpr double chirp[4096] = {0, 0.033082992372750579, 0.15824632513890907, 0.37482671956855418, 0.62024505468110203, 0.83357308395070939, 0.98107818705972782, 1.0579225302197186, 1.0786246770735095, 1.0652805039688422, 1.0384894956264461, 1.0125966751576503, 0.99474579363139048, 0.98631930566709858, 0.98528852015609281, 0.98840684760956676, 0.99271009960171119, 0.99622841373780779, 0.99807931817382001, 0.99820620526149639, 0.99700287052367231, 0.99498433691708177, 0.99257605169010965, 0.99002619842046469, 0.98740865880201067, 0.98467355264719947, 0.98170886272772073, 0.97839052226675227, 0.97461216551782048, 0.97029561517435592, 0.96538814476233259, 0.95985349082584026, 0.95366211155053537, 0.94678384112716329, 0.93918394386361126, 0.93082214302964095, 0.92165355783940794, 0.91163044245754898, 0.90070391377720238, 0.88882524180991895, 0.87594660406626446, 0.86202140814218886, 0.84700436547404045, 0.83085148940811693, 0.81352013641933096, 0.7949691466365697, 0.77515909043290798, 0.75405259949289716, 0.73161475164867273, 0.70781348244846076, 0.68262000582004267, 0.65600923591963434, 0.62796020933580732, 0.59845651040696779, 0.56748670304634374, 0.53504477127056083, 0.50113056871053097, 0.46575027554137161, 0.4289168599010566, 0.39065054005138539, 0.35097924315195517, 0.30993905638121372, 0.26757466607835256, 0.22393978048391658, 0.17909753147748592, 0.13312085044836344, 0.086092813117701603, 0.038106947793689193, -0.010732498783358392, 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-0.00011912987315725737, 0.00011092591557303536, -0.00010115165637967355, 9.0034049929882398e-05, -7.7811489373681014e-05, 6.4728879004535833e-05, -5.1032928376718717e-05, 3.6967743295264477e-05, -2.2770771283639468e-05, 8.6691543153107412e-06, 5.1234813143459079e-06, -1.8409762372117739e-05, 3.1010836563024301e-05, -4.27681443021799e-05, 5.3544729181256162e-05, -6.3226071188509508e-05, 7.1720494129488138e-05, -7.8959149139360557e-05, 8.4895630608584211e-05, -8.9505243099884113e-05, 9.2783973983302792e-05, -9.474720193295566e-05, 9.5428197448906016e-05, -9.4876441325296434e-05, 9.3155823894297551e-05, -9.0342744000486419e-05, 8.6524166100991617e-05, -8.179565567396907e-05, 7.6259436252723578e-05, -7.0022493252192008e-05, 6.3194749740348721e-05, -5.5887341929416329e-05, 4.8211005439158933e-05, -4.027459610005113e-05, 3.2183749647977239e-05, -2.4039692949196292e-05, 1.5938211463258425e-05, -7.9687721788301163e-06, 2.1380642102261649e-07, 7.2518564082060723e-06, -1.4361403546480148e-05, 2.1056311637829457e-05, -2.7286489626784927e-05, 3.3010290762289229e-05, -3.8194419806325194e-05, 4.2813730105954045e-05, -4.6850937956349065e-05, 5.0296252965438548e-05, -5.3146946685317387e-05, 5.5406863726657068e-05, -5.7085893619669703e-05, 5.8199405892710165e-05, -5.8767670834253966e-05, 5.8815259388979302e-05, -5.8370450319665534e-05, 5.746463274376723e-05, -5.6131729499656058e-05, 5.4407632319362909e-05, -5.232966686358892e-05, 4.9936081741287774e-05, -4.7265573526814042e-05, 4.4356845324954736e-05, -4.124820284058528e-05, 3.7977191323052689e-05, -3.4580268919656709e-05, 3.1092524990946474e-05, -2.7547431859457211e-05, 2.3976642208187876e-05, -2.0409818118349854e-05, 1.6874500424729488e-05, -1.339600983379409e-05, 9.9973819727497415e-06, -6.6993286213980902e-06, 3.5202340623666228e-06, -4.7616394114550348e-07, -2.4190896923867965e-06, 5.1539530773231541e-06, -7.7189993317970922e-06, 1.010684754139228e-05, -1.2312076923775075e-05, 1.4331096209773894e-05, -1.6162039379086918e-05, 1.7804629188501384e-05, -1.9260053597064397e-05, 2.0530827984876349e-05, -2.1620671639386441e-05, 2.2534362470520014e-05, -2.3277624266033331e-05, 2.3856983100138673e-05, -2.4279659068322801e-05, 2.4553441272473497e-05, -2.4686577340015531e-05, 2.4687671656056093e-05, -2.4565582182032447e-05, 2.4329330385420428e-05, -2.3988019138769523e-05, 2.3550749351061023e-05, -2.3026556130373299e-05, 2.2424341276326698e-05, -2.1752818896172976e-05, 2.1020466259645543e-05, -2.023548128624042e-05, 1.9405744717551632e-05, -1.8538793357926464e-05, 1.7641790802221113e-05, -1.672151315362802e-05, 1.5784330720629292e-05, -1.4836200889191409e-05, 1.3882661809988539e-05, -1.2928829988809176e-05, 1.1979404117012926e-05, -1.1038667027812865e-05, 1.0110496156356258e-05, -9.1983715969912172e-06, 8.3053882066752571e-06, -7.434270564651152e-06, 6.5873867392193808e-06, -5.7667645446193849e-06, 4.9741111210720168e-06, -4.2108261953666126e-06, 3.478025989198108e-06, -2.7765573916878339e-06, 2.1070185180528667e-06, -1.4697777002033174e-06, 8.6499120027436205e-07, -2.9262077850047974e-07, -2.4754658376618943e-07, 7.5588408103219318e-07, -1.232906887981694e-06, 1.6792555395349351e-06, -2.0956844816386044e-06, 2.4830415121003535e-06, -2.842260166426025e-06, 3.1743436352902471e-06, -3.4803506069758933e-06, 3.7613915570122031e-06, -4.0186071525536576e-06, 4.253168848318209e-06, -4.4662636299354352e-06, 4.6590873386230525e-06, -4.8328374591521256e-06, 4.9887077208741332e-06, -5.1278757352557491e-06, 5.2515081998272262e-06, -5.360743347735189e-06, 5.4566956265537925e-06, -5.5404499255387249e-06, 5.6130518482563896e-06, -5.6755157643089901e-06, 5.7288107930654822e-06, -5.7738661898873271e-06, 5.8115667330477412e-06, -5.8427504602996325e-06, 5.8682070130824764e-06, -5.8886808585981339e-06, 5.904862688954713e-06, -5.9173944225005513e-06, 5.9268709169779232e-06, -5.9338258272564719e-06, 5.938754579668643e-06, -5.9420873920728451e-06, 5.944211334446873e-06, -5.9454575253749383e-06, 5.9461046236732778e-06, -5.9463792184836416e-06, 5.9464575323134414e-06, -5.9464575655946127e-06}; +}; + +struct case_tu_zeta_3_100Hz_1000Hz_z50 +{ + static constexpr int order = 3; + static constexpr double cutoff_hz = 100.0; + static constexpr double sample_rate_hz = 1000.0; + + static constexpr double b[4] = {0.016699517711495412, 0.050098553134486148, 0.05009855313448619, 0.016699517711495325}; + static constexpr double a[4] = {1, -1.7977472068514453, 1.2211383528064581, -0.28979500426304983}; + static constexpr double step[256] = {0.016699517711495412, 0.09681958216758868, 0.2705613358398965, 0.50660635919898778, 0.74201131616148031, 0.92731578125303937, 1.0413890129514574, 1.0884006378507063, 1.0873167651985338, 1.0610183906396271, 1.0286878537348361, 1.0023655742287341, 0.98690369078253137, 0.98188104996249981, 0.98410464523836738, 0.98975467019323127, 0.9957411330841448, 1.000248204660956, 1.0026778295713816, 1.003276770045501, 1.0026927322756805, 1.0016154839835691, 1.0005656247528067, 0.99982446123011359, 0.99946187877569892, 0.99941086642402899, 0.99954713696622155, 0.99974933550799261, 0.99993164906159204, 1.0000519808714641, 1.0001042731012948, 1.0001041730803581, 1.0000750087779535, 1.0000378549011344, 1.0000066462854904, 0.99998745943868605, 0.99998030936804516, 0.99998184104212029, 0.99998776557804414, 0.9999944739552441, 0.99999974311507389, 1.0000027407766696, 1.0000036394954746, 1.0000031215813479, 1.0000019617500271, 1.0000007695555333, 0.99999989251679378, 0.99999943554394755, 0.99999933951592279, 0.99999947074743301, 0.99999969150357004, 0.99999990028702668, 1.0000000440833534, 1.0000001116133375, 1.0000001179243707, 1.0000000884780169, 1.0000000474041237, 1.0000000113506249, 0.99999998815904789, 0.99999997858975653, 0.99999997925858974, 0.9999999854256082, 0.99999999292247788, 0.99999999906299597, 1.0000000027345517, 1.0000000040092138, 1.000000003596748, 1.0000000023626985, 1.0000000010172581, 0.99999999998591094, 0.99999999941715689, 0.99999999926419647, 0.99999999938486039, 0.99999999962374753, 0.99999999986153132, 1.0000000000322602, 1.0000000001180491, 1.0000000001327007, 1.000000000103757, 1.0000000000586931, 1.0000000000172697, 0.99999999998944256, 0.99999999997694056, 0.99999999997644184, 0.99999999998274769, 0.99999999999107025, 0.99999999999818701, 1.0000000000026454, 1.0000000000043821, 1.000000000004122, 1.000000000002826, 1.0000000000013169, 1.0000000000001112, 0.9999999999994108, 0.99999999999918665, 0.99999999999928957, 0.99999999999954536, 0.99999999999981448, 1.0000000000000158, 1.0000000000001232, 1.0000000000001488, 1.0000000000001215, 1.0000000000000724, 1.0000000000000251, 0.9999999999999919, 0.99999999999997569, 0.99999999999997358, 0.9999999999999799, 0.99999999999998901, 0.99999999999999722, 1.0000000000000027, 1.0000000000000051, 1.0000000000000051, 1.0000000000000038, 1.0000000000000022, 1.0000000000000009, 1.0000000000000002, 1.0000000000000002, 1.0000000000000007, 1.0000000000000011, 1.0000000000000013, 1.0000000000000013, 1.0000000000000013, 1.0000000000000013, 1.0000000000000013, 1.0000000000000013, 1.0000000000000013, 1.0000000000000013, 1.0000000000000013, 1.0000000000000013, 1.0000000000000013, 1.0000000000000013, 1.0000000000000013, 1.0000000000000013, 1.0000000000000013, 1.0000000000000013, 1.0000000000000013, 1.0000000000000013, 1.0000000000000013, 1.0000000000000013, 1.0000000000000013, 1.0000000000000013, 1.0000000000000013, 1.0000000000000013, 1.0000000000000013, 1.0000000000000013, 1.0000000000000013, 1.0000000000000013, 1.0000000000000013, 1.0000000000000013, 1.0000000000000013, 1.0000000000000013, 1.0000000000000013, 1.0000000000000013, 1.0000000000000013, 1.0000000000000013, 1.0000000000000013, 1.0000000000000013, 1.0000000000000013, 1.0000000000000013, 1.0000000000000013, 1.0000000000000013, 1.0000000000000013, 1.0000000000000013, 1.0000000000000013, 1.0000000000000013, 1.0000000000000013, 1.0000000000000013, 1.0000000000000013, 1.0000000000000013, 1.0000000000000013, 1.0000000000000013, 1.0000000000000013, 1.0000000000000013, 1.0000000000000013, 1.0000000000000013, 1.0000000000000013, 1.0000000000000013, 1.0000000000000013, 1.0000000000000013, 1.0000000000000013, 1.0000000000000013, 1.0000000000000013, 1.0000000000000013, 1.0000000000000013, 1.0000000000000013, 1.0000000000000013, 1.0000000000000013, 1.0000000000000013, 1.0000000000000013, 1.0000000000000013, 1.0000000000000013, 1.0000000000000013, 1.0000000000000013, 1.0000000000000013, 1.0000000000000013, 1.0000000000000013, 1.0000000000000013, 1.0000000000000013, 1.0000000000000013, 1.0000000000000013, 1.0000000000000013, 1.0000000000000013, 1.0000000000000013, 1.0000000000000013, 1.0000000000000013, 1.0000000000000013, 1.0000000000000013, 1.0000000000000013, 1.0000000000000013, 1.0000000000000013, 1.0000000000000013, 1.0000000000000013, 1.0000000000000013, 1.0000000000000013, 1.0000000000000013, 1.0000000000000013, 1.0000000000000013, 1.0000000000000013, 1.0000000000000013, 1.0000000000000013, 1.0000000000000013, 1.0000000000000013, 1.0000000000000013, 1.0000000000000013, 1.0000000000000013, 1.0000000000000013, 1.0000000000000013, 1.0000000000000013, 1.0000000000000013, 1.0000000000000013, 1.0000000000000013, 1.0000000000000013, 1.0000000000000013, 1.0000000000000013, 1.0000000000000013, 1.0000000000000013, 1.0000000000000013, 1.0000000000000013, 1.0000000000000013, 1.0000000000000013, 1.0000000000000013, 1.0000000000000013, 1.0000000000000013, 1.0000000000000013, 1.0000000000000013, 1.0000000000000013, 1.0000000000000013, 1.0000000000000013, 1.0000000000000013, 1.0000000000000013, 1.0000000000000013, 1.0000000000000013, 1.0000000000000013, 1.0000000000000013, 1.0000000000000013}; + static constexpr double impulse[256] = {0.016699517711495412, 0.080120064456093265, 0.17374175367230785, 0.2360450233590913, 0.23540495696249256, 0.18530446509155918, 0.11407323169841788, 0.047011624899248705, -0.0010838726521726766, -0.026298374558906847, -0.032330536904791103, -0.026322279506101991, -0.015461883446202571, -0.0050226408200313294, 0.0022235952758678599, 0.0056500249548639961, 0.0059864628909134651, 0.0045070715768109311, 0.0024296249104254842, 0.00059894047411925781, -0.00058403776982054361, -0.001077248292111374, -0.0010498592307625931, -0.00074116352269313181, -0.00036258245441444614, -5.1012351669637115e-05, 0.00013627054219269251, 0.00020219854177094791, 0.00018231355359935874, 0.00012033180987202469, 5.2292229830693031e-05, -1.0002093664398181e-07, -2.9164302404663709e-05, -3.7153876819225409e-05, -3.120861564404581e-05, -1.9186846804069102e-05, -7.150070640578098e-06, 1.5316740753708583e-06, 5.9245359239103967e-06, 6.7083771998988011e-06, 5.2691598295590605e-06, 2.9976615954810231e-06, 8.9871880466296633e-07, -5.1791412687939929e-07, -1.1598313209070651e-06, -1.1921944939582069e-06, -8.7703873939815594e-07, -4.5697284606317531e-07, -9.6028024499915377e-08, 1.3123151047193154e-07, 2.207561371899201e-07, 2.0878345672517017e-07, 1.4379632656110858e-07, 6.7529983710165778e-08, 6.311032968947438e-09, -2.9446354111818776e-08, -4.1073893343517325e-08, -3.6053498850420019e-08, -2.3191576710079284e-08, -9.5692911504992867e-09, 6.688334923171555e-10, 6.167018904143706e-09, 7.4968700106611396e-09, 6.1405184202194157e-09, 3.6715556121630601e-09, 1.2746617742205138e-09, -4.124661664240486e-10, -1.234049803687734e-09, -1.3454407183455606e-09, -1.031347383290782e-09, -5.6875408312581741e-10, -1.5296021823046939e-10, 1.2066429979955672e-10, 2.3888740492213698e-10, 2.3778425355681071e-10, 1.7072931678699502e-10, 8.5789057197598469e-11, 1.465161005154052e-11, -2.8943913862946076e-11, -4.5064243070459798e-11, -4.1423630413076988e-11, -2.7827341960526424e-11, -1.2501934986463074e-11, -4.9864532964172787e-13, 6.3059293656099123e-12, 8.3223835374026204e-12, 7.1166246348479756e-12, 4.4585371626101298e-12, 1.7367246192859387e-12, -2.5993662689038262e-13, -1.2960195897782571e-12, -1.5092028947039169e-12, -1.2058743973571811e-12, -7.0049179531784876e-13, -2.2412715247931732e-13, 1.0301705861678882e-13, 2.5588986837381171e-13, 2.6927628575212321e-13, 2.0146758715737246e-13, 1.0751979754633761e-13, 2.5308540572390764e-14, -2.7413890067179477e-14, -4.9029773655405996e-14, -4.7332697457844279e-14, -3.3164495996433155e-14, -1.6030191302150014e-14, -2.0365728875713972e-15, 6.3029329230307724e-15, 9.1725479619057482e-15, 8.2029807021118222e-15, 5.3724940091374365e-15, 2.2995703317964607e-15, -4.9329516296904332e-17, -1.33985360298943e-15, -1.6820759139824139e-15, -1.4020961017032213e-15, -8.5484982026854848e-16, -3.1210774921832233e-16, 7.6478621255411156e-17, 2.7088476321536688e-16, 3.0314408234904455e-16, 2.3635177613610284e-16, 1.3322093111111192e-16, 3.8728978842088616e-17, -2.4562710865850985e-17, -5.2844225981615366e-17, -5.3782626780842392e-17, -3.9275606901952465e-17, -2.0245577022237804e-17, -4.0214161823318684e-18, 6.1112861975922462e-18, 1.0030186145365915e-17, 9.4036268464726384e-18, 6.4281191193091233e-18, 2.9797016310936614e-18, 2.3225157361415052e-19, -1.3582615163131592e-18, -1.8619195042802782e-18, -1.6213300117254316e-18, -1.0346975853590883e-18, -4.1983140482152601e-19, 3.8904832012017758e-20, 2.8276309206270482e-19, 3.3916333272702203e-19, 2.7571150355929493e-19, 1.6343756343165517e-19, 5.5425371301172237e-20, -2.0039254200908033e-20, -5.634417049004933e-20, -6.0759877541976759e-20, -4.623414835383998e-20, -2.5249353413301415e-20, -6.5415717806495946e-21, 5.674436220166432e-21, 1.0872229574201595e-20, 1.072053382820886e-20, 7.6407365006582476e-21, 3.7955754979659788e-21, 5.9984601166808509e-22, -1.3423040527403506e-21, -2.0456795145714511e-21, -1.8646432959967356e-21, -1.2430925730449063e-21, -5.5060646165026508e-22, -1.2227523384564228e-23, 2.9014265410797165e-22, 3.7697164187459897e-22, 3.1985191833460484e-22, 1.9876025466273079e-22, 7.5981746519999403e-23, -1.3426309366894279e-23, -5.9321606104136549e-23, -6.823073981841673e-23, -5.4112610946343682e-23, -3.1152727045440102e-23, -9.6986709712197101e-24, 4.9244668211360741e-24, 1.1668460900198099e-23, 1.2152861293723738e-23, 9.0260532060147996e-24, 4.7676985942186113e-24, 1.0708955769526317e-24, -1.281114948410047e-24, -2.2291772465909347e-24, -2.1327383824902043e-24, -1.4832513509868912e-24, -7.0814676761303223e-25, -7.9870690620841109e-26, 2.913190347928623e-25, 4.160337491444917e-25, 3.6903653706336232e-25, 2.3982243751929476e-25, 1.0105995030256433e-25, -4.2311881058621884e-27, -6.1515443542873708e-26, -7.6135682004666921e-26, -6.2980019440692418e-26, -3.8076820947729737e-26, -1.3608921596150553e-26, 3.7803706221747419e-27, 1.23800543394027e-26, 1.3696055062797972e-26, 1.059981809092503e-26, 5.9186931468262199e-27, 1.6655180046278465e-27, -1.161588530454567e-27, -2.4068627431599323e-27, -2.4258116718210984e-27, -1.7585063048854527e-27, -8.9659492760679064e-28, -1.6745963801144014e-28, 2.8421001441608147e-28, 4.5560041523053645e-28, 4.2346565855448797e-28, 2.872957066105928e-28, 1.3140562161625663e-28, 8.1245156124295781e-30, -6.2601758558745442e-29, -8.4382601528813972e-29, -7.2898733839530583e-29, -4.6152340995009482e-29, -1.8404458720722854e-29, 2.146140518217912e-30, 1.2957890673256421e-29, 1.53407570737943e-29, 1.2377366708439804e-29, 7.2733215872730119e-30, 2.4067911352253313e-30, -9.6803086365041608e-31, -2.5715274833014593e-30, -2.7433806888501476e-30, -2.0722446438136026e-30, -1.1205404628111526e-30, -2.7896909464472444e-31, 2.6629287892672217e-31, 4.9466011181603477e-31, 4.8324953684960589e-31, 3.4188241692533166e-31, 1.6785364588861326e-31, 2.4315993189844222e-32, -6.2182699343780205e-32, -9.283881790460437e-32, -8.3920393175558276e-32, -5.5518846878126435e-32, -2.4234666843934641e-32, -9.1322099257278663e-35, 1.3340622634025791e-32, 1.7071498614489267e-32, 1.4373028314096017e-32, 8.8584556007269386e-33, 3.3210427066711697e-33, -6.8177282937198748e-34, -2.7139716415583302e-33, -3.0840744029004702e-33, -2.4278256435946677e-33, -1.3850306566393783e-33}; + static constexpr double chirp_in[4096] = {1, 0.99999992642979929, 0.99999882287700514, 0.99999404081958787, 0.9999811660875062, 0.99995401897637071, 0.99990465453387189, 0.99982336314626385, 0.99969867158853654, 0.99951734473821929, 0.99926438818900221, 0.998923052036508, 0.99847483614453059, 0.99789949723582638, 0.99717505818699503, 0.99627781994202647, 0.99518237649358454, 0.9938616334148932, 0.99228683045801158, 0.99042756876612315, 0.98825184327798898, 0.98572608093165093, 0.98281518530153245, 0.97948258832792745, 0.9756903098201305, 0.97139902543374301, 0.96656814383854717, 0.96115589380530031, 0.95511942194735522, 0.94841490185561306, 0.94099765536237645, 0.93282228666059408, 0.92384282998911005, 0.91401291157120323, 0.90328592646221384, 0.89161523092170281, 0.87895435087564089, 0.86525720697385833, 0.85047835667664762, 0.83457325372130264, 0.81749852522376165, 0.79921226656174948, 0.77967435406322239, 0.75884677538693723, 0.73669397733007314, 0.7131832306305963, 0.68828501114913054, 0.66197339661628929, 0.6342264779166199, 0.60502678364962148, 0.57436171646195799, 0.54222399938345511, 0.50861213012343165, 0.4735308409942906, 0.43699156182725674, 0.39901288293222104, 0.35962101483159181, 0.31885024116901001, 0.27674336086026408, 0.2333521152185779, 0.18873759545291671, 0.14297062560971868, 0.096132115709591626, 0.048313379525507044, -0.00038358883718521143, -0.049845885660697295, -0.099949521968676278, -0.15055930804420456, -0.20152880479580074, -0.25270034875965974, -0.30390515757424702, -0.35496352274746379, -0.4056850964493664, -0.45586927889726703, -0.50530571264738766, -0.55377488976053313, -0.60104887736125978, -0.64689216655377857, -0.69106264898686465, -0.73331272456861973, -0.77339054291489417, -0.81104138006864557, -0.8460091508484886, -0.87803805587175265, -0.9068743608505454, -0.93226830418043516, -0.95397612713425417, -0.97176221914417393, -0.9854013687119787, -0.99468110844139446, -0.99940414055107041, -0.99939082701909576, -0.99448172624942033, -0.98454015586016352, -0.96945475889963473, -0.94914204852736517, -0.92354890398720091, -0.89265498858333392, -0.85647505838693705, -0.81506112859245528, -0.7685044628528731, -0.71693734959881206, -0.66053462833527321, -0.59951492826162256, -0.53414158132492895, -0.46472317204376912, -0.39161368717798556, -0.3152122296164856, -0.23596226275400647, -0.15435035416899404, -0.070904390633105427, 0.013808759593039822, 0.09918615657250443, 0.18459228461860086, 0.2693631422116452, 0.35281092692297711, 0.43422930879702298, 0.51289927740590668, 0.5880955389371294, 0.65909343027171097, 0.72517630714337644, 0.78564335324217838, 0.83981774665942033, 0.88705510950404776, 0.92675215601078931, 0.9583554441811033, 0.98137012613941343, 0.99536858315359633, 0.99999882287700514, 0.99499250904629088, 0.98017248784854372, 0.95545967068985072, 0.92087913039150604, 0.87656526714078131, 0.82276590205092281, 0.7598451601445787, 0.68828501114912999, 0.60868534583648182, 0.52176247787447139, 0.42834597636238814, 0.32937375243207906, 0.22588534448833064, 0.11901337075840943, 0.0099731446764950698, -0.099949521968675376, -0.20941227153109016, -0.31703181849493733, -0.42140110777252832, -0.52110785216033795, -0.61475425146856222, -0.70097765980614957, -0.77847193249159985, -0.84600915084848771, -0.90246139255836488, -0.94682218813969621, -0.97822728137500836, -0.99597429399523896, -0.99954088350734849, -0.98860097853545059, -0.9630386791909602, -0.92295942146047771, -0.86869802495628545, -0.80082327303127221, -0.72013871347380276, -0.6276794168385581, -0.52470448779900736, -0.41268519236054085, -0.29328863974147795, -0.16835704134703858, -0.039882659401103367, 0.09002134692995295, 0.21915387133951877, 0.34526219919889106, 0.46608122869670787, 0.57937497068616284, 0.68297963205683976, 0.7748475038260193, 0.85309080213204103, 0.91602455057213206, 0.96220754845479073, 0.99048044398756308, 0.99999992642979929, 0.99026806874157036, 0.96115589380530075, 0.91292030397297208, 0.84621360604462514, 0.7620849817471087, 0.66197339661628984, 0.54769160642970061, 0.42140110777252909, 0.2855780849582823, 0.14297062560971963, -0.0034522927617008812, -0.15055930804420603, -0.29512169978712482, -0.43388373911755923, -0.56363695259073099, -0.68129669877065169, -0.78397929272312616, -0.8690777846452038, -0.9343344109714895, -0.97790769530701704, -0.99843218742645046, -0.9950688952752843, -0.96754459005089155, -0.9161783491799238, -0.84189394582437793, -0.74621699410734765, -0.63125611230023981, -0.49966776553729064, -0.35460488704253801, -0.19964984230321187, -0.038732782291660182, 0.1239630836160234, 0.28410729153688535, 0.43733655464327453, 0.57937497068616117, 0.70615681024133081, 0.81394842128514178, 0.89946560517441376, 0.95998273974085324, 0.99342995728005579, 0.99847483614453048, 0.97458533851213081, 0.92207112396763224, 0.84210088492281143, 0.73669397733007302, 0.60868534583648282, 0.46166354924637748, 0.29988255844234957, 0.12814889944360713, -0.048313379525509959, -0.2240165573282355, -0.39337772332802823, -0.55089698145210475, -0.69133985418658528, -0.80991791317645134, -0.90246139255836466, -0.96557747552099782, -0.99678810088010106, -0.99464152469519274, -0.95879249417982837, -0.89004674065898659, -0.79036655916348131, -0.66283548908721601, -0.51158150864681218, -0.34165966256345809, -0.15889660674110515, 0.030298881123715433, 0.21915387133951658, 0.40077079795557791, 0.56838039236265869, 0.71559896074412133, 0.83668028795140859, 0.92675215601078997, 0.98202755565343003, 0.9999811660875062, 0.97948258832792812, 0.92087913039150737, 0.82602263024340583, 0.6982368180860713, 0.54222399938345556, 0.36391230372523414, 0.17024729818871898, -0.031065697601372073, -0.23185984575257096, -0.42383465395227493, -0.59890073081561812, -0.74952733250515868, -0.86907778464520447, -0.95211766591071434, -0.99468110844139468, -0.99448172624941999, -0.95105651629515231, -0.86583354565218051, -0.74211726695732327, -0.58498878606033655, -0.4011222042584015, -0.19852211184659407, 0.013808759593047724, 0.22625900242972455, 0.42903908336572988, 0.61263423194927435, 0.76825896913416514, 0.88829153315462384, 0.96666642869321839, 0.99920437022617881, 0.98386102377908657, 0.92087913039150748, 0.81283271986127859, 0.66455703958209811, 0.48296332366677897, 0.27674336086027079, 0.055974700631925785, -0.16835704134703514, -0.38489726725106244, -0.58249718413303753, -0.75079558121367618, -0.8807772378003631, -0.96527750388896616, -0.99940414055107052, -0.98085070531978158, -0.91008053699473446, -0.79036655916348153, -0.62767941683856299, -0.43042453941683434, -0.20903717243428122, 0.024547220293044292, 0.25752199792776376, 0.47690591218475858, 0.6702700665282546, 0.82645479681547807, 0.93623487063973665, 0.99289265158964735, 0.99266256453924517, 0.93501624268541406, 0.82276590205092304, 0.66197339661628929, 0.46166354924637809, 0.23335211521857976, -0.0095895741826257964, 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0.17024729818871992, -0.110630256376269, -0.3834806669755868, -0.62648422584859709, -0.81992136714207986, -0.94780510850409849, -0.99924960424107578, -0.96945475889963539, -0.86021435641350186, -0.67989149721536402, -0.44284765362705225, -0.16835704134703849, 0.12091746343008787, 0.40077079795558007, 0.64747701163478444, 0.83981774665941822, 0.96094386528026088, 0.99990465453387189, 0.95270229095965364, 0.82276590205091937, 0.62078697520272341, 0.36391230372523531, 0.074347571843515148, -0.22252093395631911, -0.50033216089251542, -0.73409463523198404, -0.90246139255836555, -0.98972693214480445, -0.98735610690369835, -0.89489156836093631, -0.72013871347379788, -0.47859081942819004, -0.19212671735370601, 0.11291736677555103, 0.40813786714038369, 0.66570278481121115, 0.8609957613666358, 0.97501319700248934, 0.99627781994202547, 0.92207112396763291, 0.75884677538694123, 0.5217624778744816, 0.23335211521858765, -0.07855469695947305, -0.38348066697558636, -0.65126920047307302, -0.85508594369616242, -0.97415389500088145, -0.99593983608294245, -0.91755646763273546, -0.74621699410735365, -0.49867062121686356, -0.19964984230321028, 0.12053668025531283, 0.42903908336570928, 0.69383011851338472, 0.88705510950404576, 0.98801617809016951, 0.98546660117894946, 0.878954350875643, 0.67904717547725413, 0.40638618731229703, 0.089639308903445084, -0.23745301300756336, -0.53964301532054448, -0.78397929272311817, -0.94343906000553723, -0.9999855802751384, -0.9466986959828072, -0.78871871430905482, -0.54286844851759386, -0.23596226275400908, 0.098040999161486744, 0.42174894365151211, 0.69851136524894031, 0.89659687467502402, 0.99289265158964801, 0.97569030982012916, 0.84621360604462359, 0.6186796598453691, 0.31885024116900984, -0.018794746789845506, -0.3549635227474629, -0.65010409366874566, -0.86907778464520169, -0.98540136871197892, -0.98454015586016408, -0.86583354565218329, -0.64278760968653159, -0.3416596625634602, 0.0015343547843220864, 0.34526219919889184, 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-0.1030023907955661, 0.17024729818919959, -0.23596226275519949, 0.29988255844095463, -0.36176761742994845, 0.42140110777265816, -0.47859081942969695, 0.53316837554500318, -0.58498878606033788, 0.63392986057690648, -0.679891497215383, 0.72279486382731895, -0.76258148735215492, 0.79921226656135191, -0.8326664226881163, 0.86294040163105012, -0.89004674065880174, 0.91401291157148634, -0.93488015141986835, 0.95270229095934222, -0.96754459005129689, 0.97948258832790669, -0.98860097853575635, 0.99499250904627312, -0.99875692121885906, 0.99999992642979951, -0.99883222683233175, 0.99536858315373955, -0.98972693214479546, 0.98202755565360222, -0.97239230268577204, 0.96094386528012321, -0.94780510850434307, 0.93309845444673789, -0.91694531966419934, 0.89946560517507124, -0.88077723780042294, 0.86099576136681266, -0.84023397603959249, 0.81860162390640867, -0.796205118714578, 0.77314731759783095, -0.74952733250471737, 0.72544037896198199, -0.70097765980604587, 0.67622628148050334, -0.65126920047273773, 0.62618519753795332, -0.60104887736144608, 0.57593069136480424, -0.55089698145218191, 0.52601004251397765, -0.50132820166018488, 0.47690591218530526, -0.45279386036808306, 0.4290390833651167, -0.40568509645037554, 0.3827720280763382, -0.36033676125198227, 0.33841307983513402, -0.31703181849472845, 0.29622101515464083, -0.2760060647928777, 0.25640987367073959, -0.23745301300816751, 0.2191538713382635, -0.20152880479604404, 0.18459228461925636, -0.16835704134700888, 0.15283420512977428, -0.13803344170061341, 0.12396308361540023, -0.110630256377754, 0.098040999160336914, -0.086200379880266867, 0.075112604335562244, -0.064781119288953887, 0.055208709333225685, -0.046397587328288914, 0.038349478447046295, -0.03106569760236999, 0.024547220292490568, -0.018794746789342908, 0.013808759594209193, -0.0095895741816169593, 0.0061373830151254354, -0.0034522927602768901, 0.0015343547837478589, -0.00038358883724551112, -4.1594761818964385e-13}; + static constexpr double chirp[4096] = {0.016699517711495412, 0.096819580939001809, 0.27056131028806096, 0.50660615259016306, 0.74201030231301313, 0.92731217388656806, 1.0413787671202408, 1.0883759852014057, 1.0872644863270191, 1.0609179438476142, 1.0285094607550516, 1.0020683280535418, 0.98643371459921725, 0.98116970911927137, 0.98306679938085462, 0.98828694877780054, 0.99372022066221521, 0.99752912863607945, 0.99909224949975983, 0.99863127228838311, 0.99676713645098702, 0.99416116854350856, 0.99130387882487214, 0.98844486929206987, 0.98562074428866409, 0.98272968047171472, 0.97961109828487913, 0.97610592895451842, 0.9720892904224141, 0.96747873683787911, 0.96222666614246977, 0.95630608179207155, 0.94969667506674693, 0.94237501009269875, 0.93430976894103424, 0.92546117833788233, 0.91578296577765483, 0.90522522503268066, 0.89373704176763713, 0.88126831263611938, 0.86777067324121449, 0.85319774174381413, 0.83750498901595005, 0.82064951723132118, 0.80258993393369593, 0.78328640367643709, 0.76270087805733633, 0.74079745951618325, 0.71754284134473978, 0.69290677506594134, 0.66686253456386169, 0.63938736470143054, 0.61046291539583331, 0.58007566874200822, 0.54821736779893826, 0.51488545320565604, 0.48008351002018168, 0.4438217236339968, 0.40611734110497372, 0.36699513292571595, 0.32648784985456714, 0.28463666958331396, 0.24149162832699411, 0.19711203264578139, 0.1515668468333915, 0.1049350510271438, 0.057305964871215379, 0.0087795311761088186, -0.040533446366309636, -0.090511117685070808, -0.14102045958087772, -0.19191721443646889, -0.24304590120367253, -0.29423990552296231, -0.34532165580637725, -0.39610289202505039, -0.44638503378287908, -0.49595965401963304, -0.54460906436026035, -0.59210701770258445, -0.63821953310415203, -0.68270584738316964, -0.72531949708208077, -0.76580953355045245, -0.80392187288270123, -0.83940078129312667, -0.87199049522428707, -0.90143697406486178, -0.92748978180131103, -0.94990409224724359, -0.96844281069093097, -0.98287880288271012, -0.99299722026050774, -0.99859790819655525, -0.99949788185762856, -0.99553385202393974, -0.98656478093039113, -0.97247444590373988, -0.95317398629904149, -0.92860440702050506, -0.89873900978073995, -0.86358572124649291, -0.8231892853794277, -0.77763328565094492, -0.72704196143637012, -0.67158178182379613, -0.61146273935547657, -0.54693932590465622, -0.4783111530278023, -0.40592317977026587, -0.3301655120896318, -0.25147273983991708, -0.17032277967206311, -0.08723519528766939, -0.0027689702633177677, 0.082480286835560523, 0.16788372009591512, 0.25278319572325575, 0.33649586569721734, 0.41831932056528925, 0.49753731823181307, 0.57342606688087971, 0.64526103089167874, 0.71232421884520436, 0.77391190258149301, 0.82934270586411074, 0.87796599067873826, 0.91917045868847358, 0.95239287506009063, 0.97712681194932127, 0.99293129959034487, 0.99943926438896225, 0.99636562589468369, 0.98351491825594262, 0.9607882969806717, 0.92818978876741254, 0.88583164107147117, 0.83393862914850714, 0.77285118178174961, 0.70302719293564719, 0.62504239534847039, 0.53958918370657705, 0.44747378962181228, 0.34961172820322067, 0.2470214565653728, 0.14081620808075676, 0.032193992432238229, -0.077574219645074577, -0.18715807689556443, -0.29518311019451732, -0.40024755950027724, -0.50094061157235692, -0.59586185872570707, -0.6836417528597265, -0.76296279384021415, -0.83258115778878516, -0.89134843976039557, -0.93823315751407044, -0.9723416394740837, -0.99293790141220106, -0.99946210371487398, -0.99154717515559976, -0.96903319063713034, -0.93197910008409413, -0.88067142413071731, -0.81562955990601149, -0.73760737735904502, -0.64759083329843914, -0.54679138654903547, -0.4366350630380274, -0.31874709365631715, -0.19493212958943135, -0.067150128406264414, 0.062511901799760336, 0.1918720150961758, 0.3186889122971085, 0.44070051280855527, 0.55566493174437481, 0.6614031877837484, 0.75584288207621164, 0.83706201335253283, 0.90333203192411693, 0.95315918805346345, 0.98532320073204271, 0.99891226348626028, 0.99335341644088337, 0.96843735013193366, 0.92433676766174055, 0.86161751838873757, 0.78124182850997315, 0.68456309103374891, 0.57331183845252609, 0.44957270386524534, 0.31575237755037122, 0.17453878247718765, 0.028851919640100344, -0.11821293261171954, -0.26344874754585196, -0.40360586201610793, -0.53546531103795258, -0.65591482883434182, -0.76202579073479426, -0.85112923389550121, -0.92088899794178058, -0.96936997525162316, -0.99509945985894377, -0.99711963800833581, -0.97502937515945165, -0.92901362519901876, -0.85985901762837968, -0.76895446563446035, -0.6582759784148754, -0.53035524915646404, -0.38823201794900147, -0.23539066704302417, -0.075681982852290289, 0.086768497997057603, 0.24766366671592716, 0.40264720166472368, 0.54742235446346943, 0.67787405202420659, 0.79019091788036155, 0.88098361555560167, 0.94739581409918694, 0.98720408207654109, 0.99890313930296637, 0.98177314028195228, 0.93592603081040882, 0.86232850663584704, 0.76279970316501844, 0.63998244633917023, 0.49728768076913149, 0.3388125416531787, 0.16923342754938128, -0.0063236659837257181, -0.18243240694139062, -0.35353100200671522, -0.5140979552274848, -0.65883334367773772, -0.78283975495421065, -0.88179671780119484, -0.95212234250436589, -0.99111599030069863, -0.99707612258247369, -0.96938804507704979, -0.90857705487745088, -0.81632350551658994, -0.69543750423528805, -0.54979231400363893, -0.38421700982805035, -0.20435048572572437, -0.016460470295835555, 0.1727672749142149, 0.35646299178521534, 0.52782237715355107, 0.68036262485770915, 0.80817551678498656, 0.90616764108796388, 0.97027781011608472, 0.99766214501155104, 0.98683809879647444, 0.93777989902042103, 0.85195948090169615, 0.73232891061475291, 0.58324250653528653, 0.41031927799318157, 0.22024882614277524, 0.020546388162489528, -0.18073485549976068, -0.37532386388736116, -0.55507195723566094, -0.71229945082572854, -0.8401340202488643, -0.93282576134111483, -0.98602420413313308, -0.99700351614110216, -0.96482378434133653, 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4.102614546003247e-07, -3.9627185709559254e-07, 3.815831951352322e-07, -3.663371342735311e-07, 3.5066833659579133e-07, -3.3470113122713308e-07, 3.1855034756528289e-07, -3.0232201268277914e-07, 2.8611330061753537e-07, -2.7001157260411746e-07, 2.5409687864040575e-07, -2.3844015748820946e-07, 2.2310404982489596e-07, -2.0814549686956618e-07, 1.9361109207180482e-07, -1.7954372143538788e-07, 1.6597815084666567e-07, -1.5294207984708347e-07, 1.4046144685819079e-07, -1.2855120957652733e-07, 1.1722684369660369e-07, -1.0649603132770885e-07, 9.6363170388504005e-08, -8.682912268700993e-08, 7.7891922533462887e-08, -6.9543528389941212e-08, 6.177849038238592e-08, -5.458249817315991e-08, 4.7943706369974609e-08, -4.184731933632585e-08, 3.6273609608627327e-08, -3.1207086914186027e-08, 2.6624971111079837e-08, -2.2507424902789772e-08, 1.8832179347633843e-08, -1.5575810475383298e-08, 1.2714192971444854e-08, -1.0224679338442788e-08, 8.0803870761364874e-09, -6.256942301622638e-09, 4.7308233488410276e-09, -3.4713383196584291e-09, 2.4595407632213226e-09, -1.6626177159746562e-09, 1.0591562965491397e-09, -6.2112830398236736e-10, 3.222222609447576e-10, -1.3656714653456983e-10, 3.8807678733276908e-11, 6.8193693388300582e-14, -2.0296786343978872e-12}; +}; + +struct case_tupw_zeta_3_100Hz_1000Hz_z50 +{ + static constexpr int order = 3; + static constexpr double cutoff_hz = 100.0; + static constexpr double sample_rate_hz = 1000.0; + + static constexpr double b[4] = {0.018098933007514431, 0.054296799022543349, 0.054296799022543391, 0.018098933007514473}; + static constexpr double a[4] = {1, -1.7600418803431681, 1.1828932620378301, -0.27805991763454624}; + static constexpr double step[256] = {0.018098933007514431, 0.10425061211280852, 0.28876886851789202, 0.53475200758069741, 0.77338256076106637, 0.95371766169373384, 1.0572385697450133, 1.0924761195666746, 1.0821854617115363, 1.0511762278216372, 1.0185695775378925, 0.9949997018145097, 0.98346349532380228, 0.98197333344789228, 0.98644284936283455, 0.99286433037373178, 0.99846509133790562, 1.0019695318037238, 1.0032979478649091, 1.0030479838852755, 1.0020111068318649, 1.0008512197609136, 0.99996677985602345, 0.99949383723565455, 0.99938511831756394, 0.99950728182039739, 0.99971939119123343, 0.99991797580933983, 1.0000505590819579, 1.0001079859018804, 1.0001074460727142, 1.0000754322462908, 1.0000356932281365, 1.000003469726616, 0.99998486026928501, 0.99997917397972502, 0.99998221880946392, 0.99998912956675656, 0.9999961099512279, 1.0000010676771078, 1.0000034580371335, 1.0000037416754808, 1.0000027918949324, 1.0000014493908118, 1.0000002888848019, 0.99999957028879938, 0.99999930498789447, 0.99999936537935474, 0.99999958568076164, 0.9999998282142647, 1.0000000112827825, 1.0000001078567853, 1.0000001287194042, 1.0000001021057672, 1.0000000574397594, 1.000000016107865, 0.99999998879693364, 0.99999997719994371, 0.99999997760192938, 0.9999999844333668, 0.9999999927568185, 0.99999999943735685, 1.0000000032491785, 1.0000000043701984, 1.0000000036918524, 1.0000000022318027, 1.000000000776176, 0.99999999975267395, 0.99999999926713723, 0.99999999921851457, 0.9999999994226797, 0.99999999970452613, 0.9999999999455621, 1.0000000000931715, 1.0000000001462206, 1.0000000001320055, 1.0000000000852791, 1.0000000000346045, 0.99999999999673461, 0.99999999997703193, 0.99999999997305988, 0.99999999997884503, 0.99999999998824707, 0.9999999999968473, 1.0000000000024711, 1.0000000000048106, 1.0000000000046672, 1.000000000003211, 1.0000000000014684, 1.0000000000000837, 0.99999999999930334, 0.99999999999908307, 0.99999999999923339, 0.99999999999954148, 0.9999999999998449, 1.0000000000000564, 1.0000000000001552, 1.0000000000001634, 1.0000000000001197, 1.0000000000000604, 1.0000000000000102, 0.99999999999997968, 0.99999999999996902, 0.99999999999997213, 0.99999999999998179, 0.99999999999999212, 0.99999999999999989, 1.000000000000004, 1.0000000000000051, 1.0000000000000042, 1.0000000000000024, 1.0000000000000007, 0.99999999999999922, 0.99999999999999833, 0.99999999999999811, 0.99999999999999833, 0.99999999999999878, 0.99999999999999922, 0.99999999999999967, 0.99999999999999978, 0.99999999999999967, 0.99999999999999933, 0.99999999999999922, 0.99999999999999933, 0.99999999999999944, 0.99999999999999967, 0.99999999999999967, 0.99999999999999944, 0.99999999999999933, 0.99999999999999933, 0.99999999999999944, 0.99999999999999967, 0.99999999999999967, 0.99999999999999944, 0.99999999999999933, 0.99999999999999933, 0.99999999999999944, 0.99999999999999967, 0.99999999999999967, 0.99999999999999944, 0.99999999999999933, 0.99999999999999933, 0.99999999999999944, 0.99999999999999967, 0.99999999999999967, 0.99999999999999944, 0.99999999999999933, 0.99999999999999933, 0.99999999999999944, 0.99999999999999967, 0.99999999999999967, 0.99999999999999944, 0.99999999999999933, 0.99999999999999933, 0.99999999999999944, 0.99999999999999967, 0.99999999999999967, 0.99999999999999944, 0.99999999999999933, 0.99999999999999933, 0.99999999999999944, 0.99999999999999967, 0.99999999999999967, 0.99999999999999944, 0.99999999999999933, 0.99999999999999933, 0.99999999999999944, 0.99999999999999967, 0.99999999999999967, 0.99999999999999944, 0.99999999999999933, 0.99999999999999933, 0.99999999999999944, 0.99999999999999967, 0.99999999999999967, 0.99999999999999944, 0.99999999999999933, 0.99999999999999933, 0.99999999999999944, 0.99999999999999967, 0.99999999999999967, 0.99999999999999944, 0.99999999999999933, 0.99999999999999933, 0.99999999999999944, 0.99999999999999967, 0.99999999999999967, 0.99999999999999944, 0.99999999999999933, 0.99999999999999933, 0.99999999999999944, 0.99999999999999967, 0.99999999999999967, 0.99999999999999944, 0.99999999999999933, 0.99999999999999933, 0.99999999999999944, 0.99999999999999967, 0.99999999999999967, 0.99999999999999944, 0.99999999999999933, 0.99999999999999933, 0.99999999999999944, 0.99999999999999967, 0.99999999999999967, 0.99999999999999944, 0.99999999999999933, 0.99999999999999933, 0.99999999999999944, 0.99999999999999967, 0.99999999999999967, 0.99999999999999944, 0.99999999999999933, 0.99999999999999933, 0.99999999999999944, 0.99999999999999967, 0.99999999999999967, 0.99999999999999944, 0.99999999999999933, 0.99999999999999933, 0.99999999999999944, 0.99999999999999967, 0.99999999999999967, 0.99999999999999944, 0.99999999999999933, 0.99999999999999933, 0.99999999999999944, 0.99999999999999967, 0.99999999999999967, 0.99999999999999944, 0.99999999999999933, 0.99999999999999933, 0.99999999999999944, 0.99999999999999967, 0.99999999999999967, 0.99999999999999944, 0.99999999999999933, 0.99999999999999933, 0.99999999999999944, 0.99999999999999967, 0.99999999999999967, 0.99999999999999944, 0.99999999999999933, 0.99999999999999933, 0.99999999999999944, 0.99999999999999967, 0.99999999999999967, 0.99999999999999944, 0.99999999999999933, 0.99999999999999933, 0.99999999999999944, 0.99999999999999967, 0.99999999999999967, 0.99999999999999944, 0.99999999999999933, 0.99999999999999933}; + static constexpr double impulse[256] = {0.018098933007514431, 0.086151679105294088, 0.18451825640508351, 0.24598313906280544, 0.23863055318036908, 0.18033510093266764, 0.1035209080512795, 0.035237549821661274, -0.010290657855138358, -0.031009233889899158, -0.032606650283745021, -0.023569875723382906, -0.011536206490707496, -0.0014901618759098102, 0.0044695159149426306, 0.0064214810108974667, 0.0056007609641738187, 0.0035044404658178575, 0.0013284160611849909, -0.00024996397963360836, -0.0010368770534104725, -0.001159887070950988, -0.00088443990488994389, -0.00047294262036877833, -0.00010871891809060262, 0.00012216350283328052, 0.00021210937083580262, 0.00019858461810623551, 0.00013258327261794401, 5.7426819922434081e-05, -5.398291661736312e-07, -3.2013826423339321e-05, -3.9739018154149713e-05, -3.2223501520287179e-05, -1.8609457330904867e-05, -5.6862895600588861e-06, 3.044829738818372e-06, 6.9107572927693885e-06, 6.9803844713442844e-06, 4.9577258796543943e-06, 2.3903600254860497e-06, 2.8363834703931038e-07, -9.4978054858016881e-07, -1.3425041204011912e-06, -1.1605060096935385e-06, -7.1859600227906569e-07, -2.6530090478022907e-07, 6.0391460447308546e-08, 2.203014070731927e-07, 2.4253350336804131e-07, 1.8306851778757931e-07, 9.6574002431548975e-08, 2.0862618619844454e-08, -2.6613637282258115e-08, -4.4666008037160613e-08, -4.133189453857041e-08, -2.7310931223186518e-08, -1.1596989702923871e-08, 4.0198576975679582e-10, 6.83143748314269e-09, 8.3234518131931631e-09, 6.6805385414249211e-09, 3.8118214933199795e-09, 1.1210197668114321e-09, -6.7834622567550492e-10, -1.4600497248639226e-09, -1.4556268194373906e-09, -1.0235020782178445e-09, -4.8553667176563316e-10, -4.8622638263741336e-11, 2.0416527425883927e-10, 2.8184653743228482e-10, 2.4103597565685289e-10, 1.4760922111234209e-10, 5.3048804553354512e-11, -1.4215391814291367e-11, -4.6726550539367709e-11, -5.0674648454188937e-11, -3.7869712436776175e-11, -1.9702360467005817e-11, -3.9717404621064297e-12, 5.7853107704869173e-12, 9.4020975493843113e-12, 8.6002984950252865e-12, 5.6238707308395752e-12, 2.3393593448080622e-12, -1.4367008288831459e-13, -1.4563047370899099e-12, -1.7427288880804483e-12, -1.3845716595425159e-12, -7.8038182310804851e-13, -2.2028725552633459e-13, 1.5039972332758357e-13, 3.0829321666655835e-13, 3.034490972947078e-13, 2.1122528574490016e-13, 9.8541442970697794e-14, 7.9571302982621717e-15, -4.3825840792674151e-14, -5.9147325535308364e-14, -5.0047919280294555e-14, -3.0307670795154074e-14, -1.0587923866102597e-14, 3.2992298285638351e-15, 9.9038180263365706e-15, 1.058442052939826e-14, 7.8312473734905147e-15, 4.0169384505413389e-15, 7.4955325287404661e-16, -1.2548083109117271e-15, -1.9782070966699917e-15, -1.7890023262478356e-15, -1.15762306824045e-15, -4.7132638663011358e-16, 4.2340508136886577e-17, 3.1016129951453939e-16, 3.6475559877551175e-16, 2.8687061679905148e-16, 1.5968078512051667e-16, 4.3131461362211575e-17, -3.320492635915847e-17, -6.5061150094604236e-17, -6.3239334699251269e-17, -4.3576440576870657e-17, -1.9981875536592791e-17, -1.2069840479730398e-18, 9.3952219841641326e-18, 1.2407558799095418e-17, 1.0388664453845279e-17, 6.2201014688868727e-18, 2.1090026789217203e-18, -7.5711189371057175e-19, -2.0977127974355636e-18, -2.2100507075474689e-18, -1.618933939993838e-18, -8.1842729285415454e-19, -1.3996677984494697e-19, 2.7160409779070453e-19, 4.1602852213129061e-19, 3.7202981387459919e-19, 2.3819293057179703e-19, 9.4838829896032607e-20, -1.1389920735097679e-20, -6.5999043715204773e-20, -7.631714327922038e-20, -5.941862466938736e-20, -3.2655921986956677e-20, -8.4106381516138235e-21, 7.3034568152238359e-21, 1.3722974087080647e-20, 1.3175137908121737e-20, 8.9867795153523005e-21, 4.04813550284839e-21, 1.5796484774350309e-22, -2.0116242906461985e-21, -2.6017743285920427e-21, -2.1557712698139922e-21, -1.2759784812474057e-21, -4.1917741136637586e-22, 1.7214296695076237e-22, 4.4402249534451025e-22, 4.6131499542876298e-22, 3.3456855326039041e-22, 1.6663312429779505e-22, 2.5795599707590278e-23, -5.8677759787553652e-23, -8.7454762937712232e-23, -7.7341796391659217e-23, -4.8991083991665646e-23, -1.9056933942354875e-23, 2.9045677698202728e-24, 1.403202289514055e-23, 1.5962184834950727e-23, 1.230337235070974e-23, 6.6746328485085174e-24, 1.63250089576592e-24, -1.6010335743658345e-24, -2.8930125924945004e-24, -2.744038431121801e-24, -1.8526807212114995e-24, -8.1932193247451381e-25, -1.3524472954128683e-26, 4.3021050581190004e-25, 5.453659264625731e-25, 4.4721314826782219e-25, 2.6162848844546276e-25, 8.3116081567032289e-26, -3.8838740478847772e-26, -9.3926866727184535e-26, -9.6261883916155836e-26, -6.9118986375832768e-26, -3.390207369867797e-26, -4.6752577903692303e-27, 1.2654665376178215e-26, 1.8376264162025213e-26, 1.6073874326478658e-26, 1.0072288147481257e-26, 3.8236738341400438e-27, -7.1511552681156028e-28, -2.9809316784265728e-27, -3.3374488268460432e-27, -2.5467706762297054e-27, -1.3634549370994295e-27, -3.1519066429033295e-28, 3.4991804427644936e-28, 6.0958515815230562e-28, 5.7133782099185657e-28, 3.8180249912339933e-28, 1.656579285452974e-28, -1.2005641451574489e-30, -9.1904719195975766e-29, -1.1427318558133014e-28, -9.2745948104287037e-29, -5.3618790289784429e-29, -1.6437551960068658e-29, 8.7055952015517143e-30, 1.9856845194366016e-29, 2.0080464903500513e-29, 1.4274607905881379e-29, 6.8922538461183858e-30, 8.2889032615636185e-31, -2.7247226480064339e-30, -3.8596552178214966e-30, -3.3396175899830721e-30, -2.0699428268323754e-30, -7.6599033213210623e-31, 1.7173256617150091e-31, 6.3277317940860385e-31, 6.9757479245879746e-31, 5.2700966228330145e-31, 2.78351413344877e-31, 6.0481555730975005e-32, -7.6269676962431755e-32, -1.2838267933772422e-31, -1.1892250896343557e-31, -7.8653130034362285e-32, -3.3458245565423274e-32, 1.0827610706149015e-33, 1.96129552105797e-32, 2.3935434786969782e-32, 1.9228407536158168e-32, 1.0983314732915963e-32, 3.2414252260951706e-33, -1.9403954267311686e-33, -4.1954176848317263e-33, -4.1875197234803292e-33, -2.94702496980194e-33, -1.4000759995999045e-33, -1.4255780452718077e-34, 5.8578323955991496e-34, 8.1032868372379892e-34, 6.9365376172213428e-34, 4.2521017041939907e-34, 1.5318927401084069e-34, -4.0481399809269953e-35, -1.3422161411893191e-34}; + static constexpr double chirp_in[4096] = {1, 0.99999992642979929, 0.99999882287700514, 0.99999404081958787, 0.9999811660875062, 0.99995401897637071, 0.99990465453387189, 0.99982336314626385, 0.99969867158853654, 0.99951734473821929, 0.99926438818900221, 0.998923052036508, 0.99847483614453059, 0.99789949723582638, 0.99717505818699503, 0.99627781994202647, 0.99518237649358454, 0.9938616334148932, 0.99228683045801158, 0.99042756876612315, 0.98825184327798898, 0.98572608093165093, 0.98281518530153245, 0.97948258832792745, 0.9756903098201305, 0.97139902543374301, 0.96656814383854717, 0.96115589380530031, 0.95511942194735522, 0.94841490185561306, 0.94099765536237645, 0.93282228666059408, 0.92384282998911005, 0.91401291157120323, 0.90328592646221384, 0.89161523092170281, 0.87895435087564089, 0.86525720697385833, 0.85047835667664762, 0.83457325372130264, 0.81749852522376165, 0.79921226656174948, 0.77967435406322239, 0.75884677538693723, 0.73669397733007314, 0.7131832306305963, 0.68828501114913054, 0.66197339661628929, 0.6342264779166199, 0.60502678364962148, 0.57436171646195799, 0.54222399938345511, 0.50861213012343165, 0.4735308409942906, 0.43699156182725674, 0.39901288293222104, 0.35962101483159181, 0.31885024116901001, 0.27674336086026408, 0.2333521152185779, 0.18873759545291671, 0.14297062560971868, 0.096132115709591626, 0.048313379525507044, -0.00038358883718521143, -0.049845885660697295, -0.099949521968676278, -0.15055930804420456, -0.20152880479580074, -0.25270034875965974, -0.30390515757424702, -0.35496352274746379, -0.4056850964493664, -0.45586927889726703, -0.50530571264738766, -0.55377488976053313, -0.60104887736125978, -0.64689216655377857, 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0.95562171892244452, 0.94892972743073323, 0.9415362262902629, 0.93340198923505879, 0.92448041965138983, 0.91472099961252407, 0.90407229353373508, 0.89248388127824307, 0.87990720037312176, 0.86629561320390946, 0.85160410540021092, 0.83578895109649609, 0.81880754322282523, 0.80061845345189764, 0.78118169446407537, 0.76045911501546737, 0.73841485569184995, 0.71501581294207028, 0.69023208499722533, 0.66403739499356129, 0.63640949950654579, 0.6073305949034089, 0.5767877320646746, 0.54477324533239579, 0.51128519660464045, 0.47632783179474253, 0.4399120448503957, 0.40205584392410482, 0.36278481454074246, 0.32213257515843569, 0.28014122097102723, 0.2368617519676969, 0.19235448113153655, 0.14668941830614265, 0.099946624800645187, 0.052216533336901856, 0.003600227530073225, -0.045790325238522028, -0.095832093949160924, -0.14639086364816306, -0.19732118143287147, -0.24846637550122255, -0.29965865408321923, -0.35071929105217642, -0.40145890493175329, -0.45167783785931276, -0.50116664082612994, 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0.71918719231087802, 0.78015401278905738, 0.83489254721642459, 0.88275586673807394, 0.9231373114291912, 0.95547922264966256, 0.97928168358659173, 0.99411115495613267, 0.99960888438575679, 0.99549896059380938, 0.9815958773574085, 0.95781146764851033, 0.92416106545699439, 0.8807687519397398, 0.82787154385676576, 0.76582238598517238, 0.69509181552324728, 0.61626817556785507, 0.53005626669166617, 0.43727434054646158, 0.33884935731186555, 0.23581044967998141, 0.12928055984166956, 0.020466242481918497, -0.08935434410623383, -0.19884520529584288, -0.30662794898225976, -0.41129877440351703, -0.51144685350136398, -0.60567391117959635, -0.69261477483237499, -0.7709586284817902, -0.83947067355233906, -0.89701386753803036, -0.94257038443730767, -0.97526241771287003, -0.9943719285509478, -0.9993589302039303, -0.98987789401978266, -0.96579186514923987, -0.92718388655069195, -0.87436534934717614, -0.80788091625994418, -0.72850970301967588, -0.63726245042766583, -0.53537447698832852, 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5.2765865013112978e-07, -5.2523420901104401e-07, 5.2043933621362393e-07, -5.1349837364850215e-07, 5.0463109042830911e-07, -4.9405069582619809e-07, 4.8196202847780589e-07, -4.6856236245694516e-07, 4.5403997910899163e-07, -4.3857232184460471e-07, 4.2232947482581662e-07, -4.0546839042907012e-07, 3.8813801770537504e-07, -3.7047613397553358e-07, 3.5260982255043427e-07, -3.3465650471631303e-07, 3.1672380037227332e-07, -2.9890846531786808e-07, 2.8129913273548801e-07, -2.6397442092450374e-07, 2.4700369989465176e-07, -2.3045002234267642e-07, 2.143651205276792e-07, -1.9879636646569221e-07, 1.8378244457696591e-07, -1.6935399888267505e-07, 1.5553972581433539e-07, -1.423564415289208e-07, 1.2982102787911787e-07, -1.1794232250474795e-07, 1.0672503926272003e-07, -9.6170263967632064e-08, 8.6275834188659362e-08, -7.70329372781417e-08, 6.8435434328988076e-08, -6.0467767596869559e-08, 5.3116572794678629e-08, -4.6365715720367989e-08, 4.0193347749031827e-08, -3.4582197215669158e-08, 2.9507367804368356e-08, -2.494660249945449e-08, 2.0875526796993241e-08, -1.7268106699760977e-08, 1.4097695366123431e-08, -1.1339219172781453e-08, 8.9630204293689869e-09, -6.9420219905641165e-09, 5.2502605325365631e-09, -3.8539138037547299e-09, 2.7316315555012127e-09, -1.8477332151302372e-09, 1.1778230236828349e-09, -6.9150607454244485e-10, 3.5928594886540377e-10, -1.5269093742208487e-10, 4.3662542606118107e-11, -1.1681885978166847e-13, -2.3898449640522907e-12}; +}; + +struct case_zeta_4_100Hz_1000Hz_z50 +{ + static constexpr int order = 4; + static constexpr double cutoff_hz = 100.0; + static constexpr double sample_rate_hz = 1000.0; + + static constexpr double b[5] = {0, 0.0049603137849385725, 0.041181743738290533, 0.031990401008875097, 0.0023319980958954726}; + static constexpr double a[5] = {1, -2.499651031574555, 2.6290400020951403, -1.3335340572286163, 0.28460954333602928}; + static constexpr double step[256] = {0, 0.0049603137849385725, 0.058541110992684296, 0.21142394365094058, 0.4616583602745315, 0.75526206047982858, 1.0199174192582354, 1.1997517909090472, 1.273796869031194, 1.2554564874424745, 1.1794362797966871, 1.0851889412391929, 1.0039321917173991, 0.95244300880683319, 0.93331930537533037, 0.93934889103279717, 0.95916159973533111, 0.98198663860103963, 1.0004363131443599, 1.0112509651217629, 1.014577969402084, 1.0125692118862162, 1.0079719450318576, 1.0031202064163889, 0.99945330771269481, 0.99748385512391158, 0.99703980164387884, 0.99759850934853267, 0.99857982026517345, 0.99953225476829699, 1.0002045406125566, 1.0005306301919772, 1.0005690873634996, 1.0004333584439249, 1.0002364906605341, 1.000059702403385, 0.99994342231686195, 0.99989364593047325, 0.9998952046219074, 0.99992521708711202, 0.999962855830419, 0.99999428098508059, 1.0000134581695992, 1.0000204271620414, 1.0000186237944129, 1.000012423774514, 1.000005502393051, 1.0000001131611569, 0.99999708386877684, 0.99999621488811208, 0.99999679003748643, 0.99999800645741255, 0.99999923834223248, 1.0000001339092175, 1.0000005922840844, 1.0000006801355075, 1.0000005383104451, 1.000000309203962, 1.0000000960764699, 0.99999995153031929, 0.99999988537955575, 0.99999988103646542, 0.99999991199416227, 0.9999999537206774, 0.9999999896688605, 1.0000000123453239, 1.0000000213522302, 1.0000000203113859, 1.0000000140387617, 1.0000000066528898, 1.0000000007303145, 0.99999999727517208, 0.99999999614514623, 0.99999999660831751, 0.99999999781503801, 0.99999999909016113, 1.0000000000442784, 1.0000000005542682, 1.0000000006776291, 1.0000000005546403, 1.0000000003314282, 1.000000000116176, 0.99999999996583444, 0.99999999989328314, 0.99999999988366595, 0.99999999991114397, 0.99999999995115241, 0.9999999999867426, 1.0000000000099019, 1.0000000000197566, 1.0000000000195768, 1.0000000000139733, 1.00000000000699, 1.0000000000012212, 0.99999999999773914, 0.9999999999964837, 0.99999999999679501, 0.99999999999787237, 0.99999999999906342, 0.9999999999999809, 1.0000000000004912, 1.0000000000006359, 1.0000000000005409, 1.0000000000003424, 1.0000000000001434, 1, 0.99999999999992717, 0.99999999999991296, 0.99999999999993427, 0.99999999999996891, 1.0000000000000009, 1.0000000000000226, 1.0000000000000329, 1.0000000000000342, 1.0000000000000302, 1.0000000000000244, 1.0000000000000191, 1.0000000000000151, 1.0000000000000129, 1.0000000000000124, 1.0000000000000138, 1.0000000000000155, 1.0000000000000169, 1.0000000000000178, 1.0000000000000182, 1.0000000000000182, 1.0000000000000178, 1.0000000000000169, 1.000000000000016, 1.0000000000000155, 1.0000000000000151, 1.0000000000000147, 1.0000000000000147, 1.0000000000000151, 1.000000000000016, 1.0000000000000173, 1.0000000000000182, 1.0000000000000182, 1.0000000000000173, 1.000000000000016, 1.0000000000000147, 1.0000000000000138, 1.0000000000000133, 1.0000000000000133, 1.0000000000000138, 1.0000000000000142, 1.0000000000000147, 1.0000000000000151, 1.0000000000000155, 1.000000000000016, 1.0000000000000164, 1.0000000000000164, 1.000000000000016, 1.000000000000016, 1.0000000000000164, 1.0000000000000169, 1.0000000000000173, 1.0000000000000178, 1.0000000000000178, 1.0000000000000173, 1.0000000000000169, 1.0000000000000164, 1.000000000000016, 1.000000000000016, 1.0000000000000164, 1.0000000000000169, 1.0000000000000173, 1.0000000000000178, 1.0000000000000178, 1.0000000000000173, 1.0000000000000169, 1.0000000000000164, 1.000000000000016, 1.000000000000016, 1.0000000000000164, 1.0000000000000169, 1.0000000000000173, 1.0000000000000178, 1.0000000000000178, 1.0000000000000173, 1.0000000000000169, 1.0000000000000164, 1.000000000000016, 1.000000000000016, 1.0000000000000164, 1.0000000000000169, 1.0000000000000173, 1.0000000000000178, 1.0000000000000178, 1.0000000000000173, 1.0000000000000169, 1.0000000000000164, 1.000000000000016, 1.000000000000016, 1.0000000000000164, 1.0000000000000169, 1.0000000000000173, 1.0000000000000178, 1.0000000000000178, 1.0000000000000173, 1.0000000000000169, 1.0000000000000164, 1.000000000000016, 1.000000000000016, 1.0000000000000164, 1.0000000000000169, 1.0000000000000173, 1.0000000000000178, 1.0000000000000178, 1.0000000000000173, 1.0000000000000169, 1.0000000000000164, 1.000000000000016, 1.000000000000016, 1.0000000000000164, 1.0000000000000169, 1.0000000000000173, 1.0000000000000178, 1.0000000000000178, 1.0000000000000173, 1.0000000000000169, 1.0000000000000164, 1.000000000000016, 1.000000000000016, 1.0000000000000164, 1.0000000000000169, 1.0000000000000173, 1.0000000000000178, 1.0000000000000178, 1.0000000000000173, 1.0000000000000169, 1.0000000000000164, 1.000000000000016, 1.000000000000016, 1.0000000000000164, 1.0000000000000169, 1.0000000000000173, 1.0000000000000178, 1.0000000000000178, 1.0000000000000173, 1.0000000000000169, 1.0000000000000164, 1.000000000000016, 1.000000000000016, 1.0000000000000164, 1.0000000000000169, 1.0000000000000173, 1.0000000000000178, 1.0000000000000178, 1.0000000000000173, 1.0000000000000169, 1.0000000000000164, 1.000000000000016, 1.000000000000016, 1.0000000000000164, 1.0000000000000169}; + static constexpr double impulse[256] = {0, 0.0049603137849385725, 0.053580797207745723, 0.15288283265825628, 0.25023441662359092, 0.29360370020529697, 0.26465535877840651, 0.17983437165081118, 0.074045078122146168, -0.018340381588720145, -0.076020207645787458, -0.094247338557493732, -0.081256749521793098, -0.051489182910565284, -0.019123703431502173, 0.0060295856574676121, 0.019812708702534574, 0.022825038865708594, 0.018449674543319645, 0.010814651977401897, 0.003327004280319814, -0.0020087575158683896, -0.0045972668543584434, -0.0048517386154679192, -0.0036668987036933345, -0.0019694525887827248, -0.00044405348003218829, 0.00055870770465446117, 0.00098131091664116314, 0.00095243450312372134, 0.00067228584425962782, 0.00032608957941987222, 3.8457171520926681e-05, -0.00013572891957611347, -0.0001968677833911364, -0.00017678825714818316, -0.00011628008652178232, -4.9776386387632196e-05, 1.558691434286265e-06, 3.0012465204279131e-05, 3.7638743306670149e-05, 3.1425154661182588e-05, 1.9177184518369479e-05, 6.9689924423141798e-06, -1.8033676287769141e-06, -6.2000198991032713e-06, -6.9213814638874116e-06, -5.3892318947957026e-06, -3.0292923805569138e-06, -8.6898066502178243e-07, 5.7514937446477795e-07, 1.2164199263138198e-06, 1.2318848201721827e-06, 8.95566984981981e-07, 4.5837486646245544e-07, 8.7851422276892535e-08, -1.4182506267385831e-07, -2.2910648283998125e-07, -2.1312749094053734e-07, -1.4454614888059637e-07, -6.6150762208437608e-08, -4.3430896823556404e-09, 3.0957696905771599e-08, 4.1726514620589049e-08, 3.5948181995809924e-08, 2.2676462051889813e-08, 9.0069056478034481e-09, -1.0408441308890821e-09, -6.2726235665976802e-09, -7.3858711903458951e-09, -5.9225746654540652e-09, -3.4551420437946812e-09, -1.1300259089557381e-09, 4.6317062079049602e-10, 1.2067199210482697e-09, 1.2751229697187384e-09, 9.5411745791848505e-10, 5.0999072633256609e-10, 1.2336178321602522e-10, -1.2298865293129833e-10, -2.2321270752828147e-10, -2.1525287472153755e-10, -1.503414314020523e-10, -7.2550699032522616e-11, -9.6163651509744238e-12, 2.747873625596416e-11, 4.0008838185462314e-11, 3.5590307703223662e-11, 2.3159253278589185e-11, 9.8541464428736301e-12, -1.806857027229926e-13, -5.6042846236416873e-12, -6.98423051359044e-12, -5.7697852066781395e-12, -3.4827076764433741e-12, -1.2552340901890669e-12, 3.121041895921864e-13, 1.0780388294842675e-12, 1.1915009052423666e-12, 9.1758242779858021e-13, 5.0990598304570218e-13, 1.4431300602558095e-13, -9.5316183094899895e-14, -1.9883758243560266e-13, -1.9911231039022407e-13, -1.4313956902750485e-13, -7.2353535144962585e-14, -1.3470909491004848e-14, 2.2335538881204772e-14, 3.5499596819170888e-14, 3.2644168630738603e-14, 2.1888320880066184e-14, 9.8733525570463933e-15, 5.6325133161858124e-16, -4.6515276326095311e-15, -6.1711792435300701e-15, -5.2556778741038988e-15, -3.2763607487877749e-15, -1.2779796955500037e-15, 1.6693127294997878e-16, 9.0380710749223141e-16, 1.0485874624552059e-15, 8.3129144768584881e-16, 4.789074659002447e-16, 1.5269803684035496e-16, -6.725762171165685e-17, -1.6752389385347244e-16, -1.7460189873001058e-16, -1.2916644572196253e-16, -6.8092319942694989e-17, -1.5781964541312733e-17, 1.7013541260583778e-17, 2.9977907505487461e-17, 2.8538963746933691e-17, 1.9704166585158125e-17, 9.3578074361891398e-18, 1.1138924000614765e-18, -3.6639920234517384e-18, -5.216208055366946e-18, -4.5838260989635433e-18, -2.9474285560158398e-18, -1.2296646485550425e-18, 4.7069447034214614e-20, 7.2459903411068883e-19, 8.8656387148829505e-19, 7.2384345452269893e-19, 4.3142523123716723e-19, 1.5143444345249042e-19, -4.275556793819605e-20, -1.3569372506986522e-19, -1.4762561169196277e-19, -1.1238397508875897e-19, -6.1590641858050448e-20, -1.6737197137743994e-20, 1.2234908769260541e-20, 2.4438096428402652e-20, 2.4130310417866293e-20, 1.714785580789716e-20, 8.5309661914930021e-21, 1.4653148610056795e-21, -2.7659424703711261e-21, -4.2703717878433394e-21, -3.8766129668515753e-21, -2.5687224255564291e-21, -1.1366116911086006e-21, -4.206542869009404e-23, 5.6089091869445566e-22, 7.2799577480403564e-22, 6.1252557997785677e-22, 3.771095494604225e-22, 1.4346027324581006e-22, -2.320629388802277e-23, -1.0661263161847384e-22, -1.215039160989839e-22, -9.5205062060659036e-23, -5.4107618243616953e-23, -1.6638885005133563e-23, 8.2816681092474222e-24, 1.9387492054170441e-23, 1.9900152460223414e-23, 1.4552416412249931e-23, 7.5545049909156497e-24, 1.6444071084079251e-24, -2.0082822955978156e-24, -3.4107838782546432e-24, -3.2031262817144257e-24, -2.1857374538098289e-24, -1.0192539112363293e-24, -1.0212423477697633e-25, 4.2126932959401813e-25, 5.8438694768658783e-25, 5.0713276254193351e-25, 3.2212080096578529e-25, 1.3131989915270181e-25, -8.6578417891735844e-27, -8.1662616431233188e-26, -9.7925327157813884e-26, -7.9005283190585299e-26, -4.6471811126594461e-26, -1.5800059596906757e-26, 5.1958619590591198e-27, 1.504074515323288e-26, 1.609288856621896e-26, 1.2109591462017356e-26, 6.5394590086563802e-27, 1.689440466996808e-27, -1.4011247517708571e-27, -2.6698434921184398e-27, -2.5983300606031783e-27, -1.8250715309629494e-27, -8.9248201554865209e-28, -1.3780621990604625e-28, 3.0761794884944852e-28, 4.6051319962767376e-28, 4.1262201295362889e-28, 2.7014339373780301e-28, 1.1702346659245681e-28, 1.4790961374886858e-30, -6.1152897461987174e-29, -7.7580115867996282e-29, -6.44833733007455e-29, -3.9195138946487489e-29, -1.449583007598585e-29, 2.9003385026413743e-30, 1.1444482028326616e-29, 1.2806732867308196e-29, 9.9177137161038226e-30, 5.5575528523779029e-30, 1.6388822680970745e-30, -9.3370439330463052e-31, -2.0541121596450444e-30, -2.0760446377823179e-30, -1.5006122256908656e-30, -7.6648984034154733e-31, -1.5464385621886516e-31, 2.1832138338532573e-31, 3.57240408934721e-31, 3.3092818090331232e-31, 2.2315776078161943e-31, 1.0204900423319847e-31, 8.026188913007335e-33, -4.4825087213792711e-32, -6.0575252947755307e-32, -5.1910970363742844e-32, -3.2564657862180967e-32, -1.2945778213372445e-32, 1.2691084637125893e-33, 8.5555743098461487e-33, 1.0053989489410758e-32, 8.0154094812775674e-33, 4.6513353710918844e-33, 1.52622239694268e-33, -5.8616319620028854e-34, -1.5562510748834792e-33, -1.6375830047960241e-33, -1.2179857627052548e-33}; + static constexpr double chirp_in[4096] = {1, 0.99999992642979929, 0.99999882287700514, 0.99999404081958787, 0.9999811660875062, 0.99995401897637071, 0.99990465453387189, 0.99982336314626385, 0.99969867158853654, 0.99951734473821929, 0.99926438818900221, 0.998923052036508, 0.99847483614453059, 0.99789949723582638, 0.99717505818699503, 0.99627781994202647, 0.99518237649358454, 0.9938616334148932, 0.99228683045801158, 0.99042756876612315, 0.98825184327798898, 0.98572608093165093, 0.98281518530153245, 0.97948258832792745, 0.9756903098201305, 0.97139902543374301, 0.96656814383854717, 0.96115589380530031, 0.95511942194735522, 0.94841490185561306, 0.94099765536237645, 0.93282228666059408, 0.92384282998911005, 0.91401291157120323, 0.90328592646221384, 0.89161523092170281, 0.87895435087564089, 0.86525720697385833, 0.85047835667664762, 0.83457325372130264, 0.81749852522376165, 0.79921226656174948, 0.77967435406322239, 0.75884677538693723, 0.73669397733007314, 0.7131832306305963, 0.68828501114913054, 0.66197339661628929, 0.6342264779166199, 0.60502678364962148, 0.57436171646195799, 0.54222399938345511, 0.50861213012343165, 0.4735308409942906, 0.43699156182725674, 0.39901288293222104, 0.35962101483159181, 0.31885024116901001, 0.27674336086026408, 0.2333521152185779, 0.18873759545291671, 0.14297062560971868, 0.096132115709591626, 0.048313379525507044, -0.00038358883718521143, -0.049845885660697295, -0.099949521968676278, -0.15055930804420456, -0.20152880479580074, -0.25270034875965974, -0.30390515757424702, -0.35496352274746379, -0.4056850964493664, -0.45586927889726703, -0.50530571264738766, -0.55377488976053313, -0.60104887736125978, -0.64689216655377857, 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0.96094386528012321, -0.94780510850434307, 0.93309845444673789, -0.91694531966419934, 0.89946560517507124, -0.88077723780042294, 0.86099576136681266, -0.84023397603959249, 0.81860162390640867, -0.796205118714578, 0.77314731759783095, -0.74952733250471737, 0.72544037896198199, -0.70097765980604587, 0.67622628148050334, -0.65126920047273773, 0.62618519753795332, -0.60104887736144608, 0.57593069136480424, -0.55089698145218191, 0.52601004251397765, -0.50132820166018488, 0.47690591218530526, -0.45279386036808306, 0.4290390833651167, -0.40568509645037554, 0.3827720280763382, -0.36033676125198227, 0.33841307983513402, -0.31703181849472845, 0.29622101515464083, -0.2760060647928777, 0.25640987367073959, -0.23745301300816751, 0.2191538713382635, -0.20152880479604404, 0.18459228461925636, -0.16835704134700888, 0.15283420512977428, -0.13803344170061341, 0.12396308361540023, -0.110630256377754, 0.098040999160336914, -0.086200379880266867, 0.075112604335562244, -0.064781119288953887, 0.055208709333225685, -0.046397587328288914, 0.038349478447046295, -0.03106569760236999, 0.024547220292490568, -0.018794746789342908, 0.013808759594209193, -0.0095895741816169593, 0.0061373830151254354, -0.0034522927602768901, 0.0015343547837478589, -0.00038358883724551112, -4.1594761818964385e-13}; + static constexpr double chirp[4096] = {0, 0.0049603137849385725, 0.058541110627753017, 0.21142393387009117, 0.46165825639631769, 0.7552614493883818, 1.0199149548283335, 1.1997441186133735, 1.2737770671688615, 1.2554121217258796, 1.1793472346281135, 1.0850251988018762, 1.0036516898705883, 0.95198964568093492, 0.93262109783148495, 0.93831625250519102, 0.95768568585511593, 0.97993771269866536, 0.99766209976177267, 1.0075749790862392, 1.0097978242458665, 1.0064549212879927, 1.000264234386316, 0.99352885037339678, 0.98765550596967977, 0.98312265499741125, 0.979722573298899, 0.97689547849684821, 0.97402266349410493, 0.97061276394122253, 0.96637336444892008, 0.96119610276616851, 0.95509615462521213, 0.94814261489743257, 0.94040333910221074, 0.93191365021013062, 0.92266752830391918, 0.91262413232378892, 0.90172124924567765, 0.88988894144586161, 0.87705952534090315, 0.86317273415313334, 0.84817678197938018, 0.83202689632499482, 0.81468292177468449, 0.79610716365372547, 0.77626306564981273, 0.75511482430927845, 0.73262773861114427, 0.70876897898714797, 0.68350848546266496, 0.65681980052899569, 0.62868075053119277, 0.59907397365921866, 0.56798733967588821, 0.53541431940149409, 0.50135435211225143, 0.46581323919584372, 0.4288035725784593, 0.39034519211765673, 0.35046565884911945, 0.30920072953002431, 0.26659482003776158, 0.22270144857777965, 0.17758365270377138, 0.13131437605845034, 0.083976821389552037, 0.035664766081488761, -0.013517164388754698, -0.063453270613246307, -0.11401660737924842, -0.16506887265093961, -0.21646036457693427, -0.26803001376524116, -0.3196054980034751, -0.37100344646130173, -0.42202974022602013, -0.47247991579690546, -0.52213967788748028, 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0.81607341701396241, 0.86990054927892735, 0.91653388166314853, 0.95536342323424139, 0.98583128337539905, 1.0074406396632185, 1.019764577899833, 1.022454677860879, 1.015249210830121, 0.99798080885150697, 0.97058346108491389, 0.9330986899469581, 0.88568075909157273, 0.82860076696439211, 0.76224948386171687, 0.6871387973277906, 0.60390164049324013, 0.51329029071724408, 0.41617294172854946, 0.31352847139928414, 0.20643934930873981, 0.096082653278725408, -0.016280808062402098, -0.12931923912512272, -0.24164440721486402, -0.35182790320687263, -0.45841898155307753, -0.559963810871973, -0.65502592875414956, -0.74220765712570791, -0.82017219830039367, -0.88766609752820047, -0.94354172627019106, -0.9867794124873891, -1.0165088208354274, -1.0320291677164413, -1.0328278445461991, -1.0185970181967519, -0.98924778115659195, -0.94492143620451241, -0.8859975218966194, -0.81309821635206125, -0.72708879795707948, -0.62907389276044823, -0.52038929936097134, -0.40258925260693129, -0.2774290668013481, 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1.0001996433681699, 1.1625762223984659, 1.2152866660373793, 1.1523450378442182, 0.97877303769807011, 0.71032027636630946, 0.37213679137007571, -0.0035023069819254422, -0.38022360151246964, -0.72105628776848618, -0.99207370295763353, -1.1658168482018609, -1.22415129738886, -1.1602544660900045, -0.97950825025245214, -0.69917594800658855, -0.34686258487775268, 0.042117429867620591, 0.42822471354394481, 0.77169472801635786, 1.0366518171498471, 1.1949113754371739, 1.2290630763109534, 1.134490843354097, 0.92008688383149184, 0.60754837040525056, 0.22929338209644831, -0.17481778009937154, -0.56163494889929733, -0.8893182771341791, -1.1218981831596877, -1.2332959944136626, -1.210349790520209, -1.0544854591735946, -0.78181192080862849, -0.42158807779715102, -0.013189564013194459, 0.39812407414093515, 0.7661964194828037, 1.0491708207311383, 1.214311320878029, 1.241887523122549, 1.127653358941926, 0.88359755580954602, 0.5368340390900751, 0.12671298423175339, -0.2995562990010826, 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0.0012982750861307694, -0.0013025977531132176, 0.0012100487685343022, -0.0010286201771680364, 0.00077271114471075871, -0.00046192489909839193, 0.00011951913068619993, 0.00022936538357561879, -0.00055956189293402065, 0.00084768361771990453, -0.0010737506989972946, 0.0012225281841448826, -0.0012844900109922094, 0.0012563538259610556, -0.0011411638555608155, 0.0009479316611355924, -0.00069087492965720122, 0.00038832074861137097, -6.1360173515750266e-05, -0.00026764552061781183, 0.00057660051099750779, -0.00084514707535298631, 0.0010559787856452827, -0.0011959123935143734, 0.0012566559604752759, -0.0012352334003084674, 0.0011340498555844581, -0.00096060640380230943, 0.00072689506719614272, -0.00044852442814101012, 0.0001436413997121808, 0.00016827503333202449, -0.00046766731104550246, 0.00073611963945483948, -0.00095747023663533229, 0.0011187504148939672, -0.0012108989320800292, 0.0012292160174229268, -0.0011735389900893855, 0.0010481390169048595, -0.00086135553563163308, 0.00062499984383806734, -0.00035357188343386557, 6.3343386082109852e-05, 0.00022863380363956137, -0.00050553359402564948, 0.0007517168487356468, -0.00095359421828878374, 0.0011003449110334284, -0.0011844559269132407, 0.0012020580863834726, -0.0011530476533268543, 0.0010409949670830169, -0.00087285323426501867, 0.00065849123220246622, -0.00041008223870312669, 0.00014138801136774322, 0.00013301943027547785, -0.00039855399138218604, 0.00064138645810030951, -0.0008491503198369164, 0.0010115478069949891, -0.0011208283300515945, 0.0011721194464005386, -0.0011635990727188079, 0.0010965063649525601, -0.00097499712710615374, 0.00080585722264444465, -0.00059809411135691888, 0.00036243176036056778, -0.00011073792100308984, -0.00014458528512312782, 0.00039121612570977896, -0.00061750322740239773, 0.00081300326158428925, -0.00096894264490519433, 0.0010785843623947041, -0.001137486413420249, 0.0011436441931756908, -0.0010975149283948592, 0.0010019279273024671, -0.00086188949562402469, 0.00068429584653763743, -0.00047757086682605719, 0.00025124824873699013, -1.5519028326952625e-05, -0.00021923387056988538, 0.0004428929798975384, -0.00064603580193363472, 0.00082031896299750455, -0.00095880233841308502, 0.0010562017869232428, -0.001109062795966021, 0.0011158510869858588, -0.0010769599618259389, 0.00099463769808638691, -0.00087284147031604659, 0.00071702701706520891, -0.00053388545028158763, 0.0003310401915997338, -0.00011671799392221939, -0.00010059168060980953, 0.00031247489476160105, -0.00051091588783464003, 0.00068859223494416148, -0.00083913230104687084, 0.000957326783381946, -0.0010392883250046159, 0.0010825555083452897, -0.0010861398341332259, 0.0010505165316719179, -0.00097756211285480142, 0.00087044339786531734, -0.00073346431112733187, 0.00057187793186353354, -0.00039167217267473305, 0.0001993379547802379, -1.6288941601643597e-06, -0.00019467865501960648, 0.00038301686840727048, -0.00055724143318740564, 0.00071182365061953404, -0.0008420142016396738, 0.00094397439727174695, -0.0010148720761192337, 0.0010529406504355648, -0.00105750114053092, 0.0010289482491096565, -0.00096870269438789538, 0.00087913295097816636, -0.00076345042342914216, 0.00062558264377012961, -0.00047002958755826101, 0.00030170839666698607, -0.00012579189891115134, -5.2453822723284079e-05, 0.00022782782581614431, -0.00039534408622186727, 0.00055036862397810234, -0.00068874053220677211, 0.00080687418234967026, -0.0009018405620956813, 0.00097142647765857768, -0.0010141710376611237, 0.0010293795651027575, -0.0010171157015673874, 0.00097817305316785872, -0.00091402824573955793, 0.00082677762083831728, -0.00071906019833111682, 0.00059396966674543812, -0.00045495838153213845, 0.00030573631625034105, -0.00015016791652446232, -7.830341909301989e-06, 0.00016438907986205038, -0.00031577944849365213, 0.00045849881307556868, -0.00058934693301623754, 0.00070549126075846401, -0.00080452032810670649, 0.0008844845686202113, -0.00094392426947157446, 0.00098188469548547578, -0.00099791873086283248, 0.00099207768052111175, -0.00096489110050222444, 0.00091733675843159741, -0.0008508019590916854, 0.00076703762798614999, -0.00066810658990859237, 0.00055632755155031119, -0.00043421627251277479, 0.00030442539108306013, -0.00016968429948552299, 3.274036197206372e-05, 0.00010369732514836833, -0.00023701060443525766, 0.00036472043241533197, -0.00048452984626710938, 0.00059436111089980633, -0.00069238666174531514, 0.00077705355589106689, -0.00084710135438460094, 0.00090157345660272798, -0.00093982206856042978, 0.00096150709438900823, -0.0009665893396584033, 0.00095531850912899431, -0.00092821655065808677, 0.00088605693903676119, -0.00082984055152506876, 0.00076076878215905041, -0.00068021457103761146, 0.00058969200048495252, -0.00049082509858747268, 0.0003853164568923032, -0.00027491622798185783, 0.00016139202233200409, -4.6500167642329372e-05, -6.8041261527604716e-05, 0.00018057730242622546, -0.00028953856545582408, 0.0003934610850215143, -0.00049100339464633693, 0.00058096074234837932, -0.00066227638511485954, 0.00073405000180728087, -0.00079554325022416486, 0.00084618260647710422, -0.00088555959264353468, 0.00091342859339667033, -0.00092970243683078175, 0.00093444597428817087, -0.00092786788280853696, 0.00091031094174790113, -0.00088224102318679685, 0.00084423506037056752, -0.00079696822001643422, 0.00074120054033147229, -0.00067776324097133453, 0.00060754493711589249, -0.0005314779474584249, 0.00045052487977411109, -0.00036566566377644336, 0.00027788516395581579, -0.00018816151043295681, 9.7455238305752933e-05, -6.6993298257563179e-06, -8.3209780963385644e-05, 0.00017142019615958405, -0.00025713150023461731, 0.00033960066171664558, -0.00041814688378856928, 0.00049215542927365859, -0.00056108044620503824, 0.00062444682903416864, -0.00068185117896501493, 0.00073296190004412242, -0.00077751851676907072, 0.00081533026053422827, -0.00084627401249184799, 0.00087029166574562836, -0.00088738698724969214, 0.00089762204957595602, -0.00090111331167510699, 0.0008980274090876891, -0.00088857673876678936, 0.00087301488228454759, -0.00085163195170317139, 0.00082474989396751856, -0.00079271782329158689, 0.00075590741666607241, -0.00071470842359016174, 0.00066952432270406346, -0.00062076815951516741, 0.00056885859508171762, -0.00051421618291243743, 0.00045725990156102484, -0.00039840394480743181, 0.00033805479404222342, -0.00027660856307376927, 0.00021444863266022228, -0.0001519435630292147, 8.9445287169493543e-05, -2.7287575811517362e-05, -3.4215230225441992e-05, 9.4769241443992919e-05, -0.000154101785625863, 0.00021196196023500017, -0.0002681209598031617, 0.00032237220184193468, -0.00037453128807671428, 0.00042443576256199849, -0.00047194476334887236, 0.00051693849437941565, -0.00055931761158731046, 0.00059900248528736624, -0.00063593238378720175, 0.0006700645727395144, -0.00070137337131151228, 0.00072984913271948717, -0.00075549722458741328, 0.00077833695125362331, -0.00079840048665210175, 0.00081573179562046717, -0.00083038555270179958, 0.0008424260902778662, -0.0008519263515866151, 0.00085896687591705077, -0.00086363482134664809, 0.00086602300956178935, -0.0008662290263211905, 0.00086435435410030584, -0.00086050355506891128, 0.00085478350151036147, -0.0008473026549436968, 0.00083817039215021687, -0.00082749638828250125, 0.00081539003982282129, -0.00080195994739481503, 0.00078731343917195443, -0.00077155614549675143, 0.00075479162070112536, -0.00073712100403440853, 0.00071864273156829403, -0.00069945227997443571, 0.00067964195604525764, -0.00065930071998397764, 0.00063851404152986176, -0.00061736379249431941, 0.00059592816611432099, -0.00057428162297954582, 0.00055249486974821588, -0.00053063484941509717, 0.00050876476534438171, -0.00048694411597646802, 0.00046522874939455014, -0.00044367093496478329, 0.00042231944617649505, -0.00040121965522106357, 0.00038041364062117939, -0.00035994029982673939, 0.00033983546981289879, -0.00032013205853313785, 0.00030086016942317733, -0.00028204724392853807, 0.00026371819476536142, -0.00024589554225359911, 0.00022859956294173848, -0.00021184841399742461, 0.00019565828473963403, -0.00018004352311572322, 0.00016501677180087216, -0.00015058909967389806, 0.00013677012812261823, -0.00012356814987869139, 0.00011099025811905851, -9.9042447475078182e-05, 8.7729734277384379e-05, -7.7056258678176687e-05, 6.7025376560239983e-05, -5.7639768451163008e-05, 4.890151174768661e-05, -4.08121760977374e-05, 3.3372895667117505e-05, -2.6584440278676162e-05, 2.0447283160556732e-05, -1.4961662780408431e-05, 1.0127632035156111e-05, -5.9451112303699784e-06, 2.4139344532740832e-06, 4.6612942251464862e-07, -2.6953175906341032e-06, 4.2738807207802184e-06, -5.2020349278517709e-06, 5.4799641579747244e-06, -5.1078087253194244e-06, 4.0856581743844054e-06, -2.4135590309914998e-06}; +}; + +struct case_mz_zeta_4_100Hz_1000Hz_z50 +{ + static constexpr int order = 4; + static constexpr double cutoff_hz = 100.0; + static constexpr double sample_rate_hz = 1000.0; + + static constexpr double b[5] = {0, 0.010058057078499954, 0.030174171235499862, 0.030174171235499862, 0.010058057078499954}; + static constexpr double a[5] = {1, -2.4996510315745493, 2.6290400020951328, -1.3335340572286125, 0.28460954333602895}; + static constexpr double step[256] = {0, 0.010058057078499954, 0.065373861065907923, 0.20737520439817522, 0.44037236605492891, 0.72035963906063072, 0.98129147828051666, 1.1677269913756108, 1.2548098192425061, 1.2506145223192531, 1.1855379206666461, 1.0969653201629086, 1.0162745416906631, 0.96184882076691369, 0.93834963828857598, 0.94030198620126859, 0.95734927859868046, 0.97898187929089764, 0.99752943231369506, 1.0091963579387435, 1.0135933294399397, 1.0124883586489593, 1.0084459353750441, 1.0037892931502042, 1.0000520688687002, 0.99787658714548388, 0.99720467538755642, 0.99758616790109234, 0.99846881967287537, 0.99939532765328021, 1.0000907132242878, 1.0004615777297363, 1.0005447319187681, 1.0004411980816239, 1.0002604310083227, 1.0000861083720334, 0.9999638741075022, 0.999905039955585, 0.99989831673987706, 0.99992279871687229, 0.99995800241186028, 0.99998941439149081, 1.0000099424978968, 1.0000186497711712, 1.0000183153399733, 1.0000130223887824, 1.000006440041342, 1.0000009777017196, 0.99999766586521044, 0.99999647677896941, 0.99999680061196339, 0.99999787442394339, 0.9999990641025488, 0.99999998505687027, 1.0000004992075326, 1.0000006440388154, 1.0000005438738904, 1.0000003362543262, 1.0000001274207257, 0.99999997645603622, 0.99999989976901749, 0.99999988557423081, 0.99999990982493825, 0.99999994846314599, 0.99999998418572777, 1.0000000082774387, 1.0000000192055956, 1.0000000198245784, 1.0000000146013885, 1.0000000076342439, 1.0000000016659656, 0.99999999792278416, 0.99999999645262461, 0.99999999664272565, 0.99999999768998971, 0.99999999891283797, 0.99999999988816091, 1.0000000004536687, 1.0000000006357257, 1.0000000005566547, 1.0000000003569069, 1.0000000001473186, 0.9999999999913064, 0.99999999990848021, 0.99999999988896338, 0.99999999990953492, 0.99999999994621802, 0.99999999998137656, 1.0000000000058067, 1.0000000000175033, 1.0000000000189577, 1.0000000000144147, 1.0000000000078797, 1.0000000000020988, 0.99999999999835676, 0.9999999999967798, 0.99999999999682643, 0.99999999999774436, 0.99999999999887856, 0.99999999999981137, 1.0000000000003717, 1.0000000000005715, 1.0000000000005187, 1.0000000000003431, 1.0000000000001501, 1.0000000000000022, 0.99999999999992017, 0.99999999999989708, 0.99999999999991285, 0.99999999999994527, 0.99999999999997768, 1.0000000000000009, 1.0000000000000124, 1.0000000000000147, 1.0000000000000109, 1.0000000000000047, 0.999999999999999, 0.999999999999995, 0.99999999999999323, 0.99999999999999367, 0.99999999999999523, 0.99999999999999656, 0.99999999999999722, 0.99999999999999678, 0.99999999999999545, 0.99999999999999389, 0.99999999999999323, 0.99999999999999389, 0.99999999999999545, 0.99999999999999678, 0.99999999999999745, 0.99999999999999767, 0.99999999999999767, 0.99999999999999789, 0.99999999999999833, 0.99999999999999856, 0.99999999999999856, 0.99999999999999856, 0.99999999999999878, 0.999999999999999, 0.99999999999999856, 0.99999999999999767, 0.999999999999997, 0.99999999999999678, 0.999999999999997, 0.99999999999999722, 0.99999999999999722, 0.99999999999999678, 0.99999999999999589, 0.999999999999995, 0.99999999999999456, 0.99999999999999478, 0.99999999999999567, 0.999999999999997, 0.99999999999999856, 0.99999999999999989, 1.0000000000000007, 1.0000000000000009, 1.0000000000000004, 0.99999999999999944, 0.99999999999999811, 0.99999999999999656, 0.99999999999999545, 0.99999999999999478, 0.99999999999999478, 0.99999999999999567, 0.99999999999999722, 0.99999999999999878, 0.99999999999999944, 0.999999999999999, 0.99999999999999767, 0.99999999999999634, 0.99999999999999545, 0.99999999999999523, 0.99999999999999545, 0.99999999999999567, 0.99999999999999589, 0.99999999999999634, 0.99999999999999656, 0.99999999999999678, 0.999999999999997, 0.999999999999997, 0.999999999999997, 0.99999999999999722, 0.99999999999999745, 0.99999999999999745, 0.99999999999999722, 0.99999999999999678, 0.99999999999999634, 0.99999999999999589, 0.99999999999999589, 0.99999999999999634, 0.99999999999999656, 0.99999999999999678, 0.999999999999997, 0.999999999999997, 0.999999999999997, 0.99999999999999722, 0.99999999999999745, 0.99999999999999745, 0.99999999999999722, 0.99999999999999678, 0.99999999999999634, 0.99999999999999589, 0.99999999999999589, 0.99999999999999634, 0.99999999999999656, 0.99999999999999678, 0.999999999999997, 0.999999999999997, 0.999999999999997, 0.99999999999999722, 0.99999999999999745, 0.99999999999999745, 0.99999999999999722, 0.99999999999999678, 0.99999999999999634, 0.99999999999999589, 0.99999999999999589, 0.99999999999999634, 0.99999999999999656, 0.99999999999999678, 0.999999999999997, 0.999999999999997, 0.999999999999997, 0.99999999999999722, 0.99999999999999745, 0.99999999999999745, 0.99999999999999722, 0.99999999999999678, 0.99999999999999634, 0.99999999999999589, 0.99999999999999589, 0.99999999999999634, 0.99999999999999656, 0.99999999999999678, 0.999999999999997, 0.999999999999997, 0.999999999999997, 0.99999999999999722, 0.99999999999999745, 0.99999999999999745, 0.99999999999999722, 0.99999999999999678, 0.99999999999999634, 0.99999999999999589, 0.99999999999999589, 0.99999999999999634, 0.99999999999999656, 0.99999999999999678, 0.999999999999997, 0.999999999999997, 0.999999999999997, 0.99999999999999722, 0.99999999999999745, 0.99999999999999745}; + static constexpr double impulse[256] = {0, 0.010058057078499954, 0.055315803987407972, 0.14200134333226727, 0.2329971616567536, 0.27998727300570181, 0.26093183921988605, 0.18643551309509404, 0.087082827866895307, -0.0041952969232536275, -0.065076601652607993, -0.088572600503738344, -0.080690778472245567, -0.054425720923748755, -0.023499182478336544, 0.0019523479126937054, 0.017047292397412674, 0.021632600692217511, 0.018547553022797272, 0.011666925625047564, 0.0043969715011950919, -0.0011049707909816259, -0.0040424232739161205, -0.0046566422248409296, -0.0037372242815048896, -0.0021754817232168735, -0.0006719117579270361, 0.00038149251353737277, 0.00088265177178523579, 0.00092650798040707803, 0.00069538557100863162, 0.00037086450544800468, 8.3154189030437784e-05, -0.00010353383714582263, -0.00018076707330229801, -0.00017432263628981487, -0.00012223426453117207, -5.8834151916752791e-05, -6.7232157069823154e-06, 2.4481976995996073e-05, 3.5203694988477122e-05, 3.1411979630570411e-05, 2.052810640565381e-05, 8.7072732740264171e-06, -3.3443119818179573e-07, -5.2929511917002384e-06, -6.5823474415945241e-06, -5.4623396232446829e-06, -3.3118365092027411e-06, -1.1890862404035843e-06, 3.2383299532239315e-07, 1.0738119815004181e-06, 1.1896786065014445e-06, 9.2095432187505486e-07, 5.1415066205403207e-07, 1.4483128171854583e-07, -1.0016492643247103e-07, -2.0761956546379248e-07, -2.0883360099810851e-07, -1.5096468902861583e-07, -7.6687017378849474e-08, -1.4194785249727352e-08, 2.4250708292604001e-08, 3.8638208025025938e-08, 3.5722581797990716e-08, 2.4091710702569012e-08, 1.0928156283961873e-08, 6.1898267088624996e-10, -5.2231903214107175e-09, -6.9671454712499925e-09, -5.9682791678170813e-09, -3.7431815905085897e-09, -1.4701590036675868e-09, 1.9010222405289379e-10, 1.0472651256608269e-09, 1.2228491023342953e-09, 9.7532318474305446e-10, 5.6550720314022119e-10, 1.8205627168012337e-10, -7.9071752143442884e-11, -1.9974817891228548e-10, -2.0958845027383299e-10, -1.5601186001940429e-10, -8.2825211268936497e-11, -1.9515802455989692e-11, 2.0571842320377911e-11, 3.6682476418150189e-11, 3.515705196902519e-11, 2.4428299321261835e-11, 1.1695316574404505e-11, 1.4541773316973638e-12, -4.5425826448740588e-12, -6.5343859217058971e-12, -5.7804567360446411e-12, -3.7415240769531414e-12, -1.5764163267215189e-12, 4.7438439137487987e-14, 9.1876449559452793e-13, 1.1345416639255384e-12, 9.3241353424028526e-13, 5.5965534716226341e-13, 1.9905139051276308e-13, -5.3293462979680894e-14, -1.7558345227353282e-13, -1.9262815597313643e-13, -1.4760782232077009e-13, -8.1519603080477764e-14, -2.2607170632597641e-14, 1.5792013387818118e-14, 3.2211106346752651e-14, 3.2052515327143717e-14, 2.2929220099429668e-14, 1.1507753327655081e-14, 2.0590631592248568e-15, -3.6529603243641671e-15, -5.7243793324763467e-15, -5.2345574553252167e-15, -3.4923207184844986e-15, -1.5617095698445297e-15, -7.3525721738185797e-17, 7.5468467464807082e-16, 9.9110529511345822e-16, 8.3974956818819828e-16, 5.2074924544338299e-16, 2.0083838677445704e-16, -2.928809336914868e-17, -1.4578605263316334e-16, -1.6780006397671105e-16, -1.323814304208025e-16, -7.5829293940047508e-17, -2.3785694963343556e-17, 1.1124663716563817e-17, 2.6897393124873934e-17, 2.7849616961855453e-17, 2.0504755012986432e-17, 1.0739379307197847e-17, 2.420037326611307e-18, -2.7674866170334592e-18, -4.7946466161796057e-18, -4.5384379842581917e-18, -3.1184968143633605e-18, -1.4695902241314976e-18, -1.6236928311441557e-19, 5.9080599274282617e-19, 8.3148948982057479e-19, 7.2691540627526878e-19, 4.6508747515975489e-19, 1.921372349272222e-19, -9.7409321730065998e-21, -1.1616248177829971e-19, -1.4090315454619568e-19, -1.1448685976805147e-19, -6.7871430763733595e-20, -2.3502562345140919e-20, 7.1187581307549498e-21, 2.1658776102470182e-20, 2.3399271732031997e-20, 1.7730384902062671e-20, 9.6588025770681579e-21, 2.5691760587470541e-21, -1.9869186892847446e-21, -3.8869645437766836e-21, -3.8152698337817134e-21, -2.6986936693684596e-21, -1.3331989803047347e-21, -2.1908365333953545e-22, 4.4446305686854422e-22, 6.771899545769836e-22, 6.1151305241964506e-22, 4.0326967474568648e-22, 1.7689862186265652e-22, 4.7114742023234615e-24, -8.9565116914648004e-23, -1.151422520755229e-22, -9.6409298694011786e-23, -5.9055080562502733e-23, -2.2208217752078702e-23, 3.9508752522604683e-24, 1.6949147537562061e-23, 1.9172169832916065e-23, 1.4953044640185451e-23, 8.450800723329967e-24, 2.5547525161049754e-24, -1.347691603029455e-24, -3.0716538971638381e-24, -3.1332567445076712e-24, -2.2808470835873837e-24, -1.1764536393989282e-24, -2.4836789779400646e-25, 3.2227811257392321e-25, 5.388618070761233e-25, 5.0330730481215013e-25, 3.4186009025546381e-25, 1.5818303499231063e-25, 1.4450753580437137e-26, -6.7111674570594808e-26, -9.2101555528861032e-26, -7.9532300534191039e-26, -5.0272849388147211e-26, -2.0290918239649012e-26, 1.6030675989312683e-27, 1.2947840231112282e-26, 1.5400055528257702e-26, 1.2367108992453578e-26, 7.2362323107800886e-27, 2.4258509437023266e-27, -8.5160513597437205e-28, -2.3764098370319289e-27, -2.5258372543717952e-27, -1.8920999569715911e-27, -1.0157109315235008e-27, -2.5645748614816731e-28, 2.2498810494078845e-28, 4.206533237413523e-28, 4.070700191129236e-28, 2.8463812649600385e-28, 1.382143943119469e-28, 2.0282516431877741e-29, -4.8953334966938129e-29, -7.2386926475524445e-29, -6.4531488792394102e-29, -4.205161432879089e-29, -1.8056341149878898e-29, -3.2103539314979806e-32, 9.6796132164541482e-30, 1.2169601529178198e-29, 1.0067862511347285e-29, 6.0890045410781012e-30, 2.2252410092981374e-30, -4.8365771846321616e-31, -1.8047379642100717e-30, -2.0052137551640038e-30, -1.545905197496299e-30, -8.6146228382532125e-31, -2.4948366946143749e-31, 1.5038243378302633e-31, 3.2299623042124019e-31, 3.2450184379068957e-31, 2.3351688856967184e-31, 1.1850860114234682e-31, 2.3111356570380863e-32, -3.4747124430578221e-32, -5.6042245672583069e-32, -5.1643374878617166e-32, -3.4667296067171468e-32, -1.572852400866138e-32, -1.092154420787569e-33, 7.0890912310580033e-33, 9.4836927362405222e-33, 8.0884808259082327e-33, 5.0497540315664317e-33, 1.9868874608400286e-33, -2.2236486482938768e-34, -1.347481030389018e-33, -1.5712523149148423e-33, -1.2470191921544767e-33}; + static constexpr double chirp_in[4096] = {1, 0.99999992642979929, 0.99999882287700514, 0.99999404081958787, 0.9999811660875062, 0.99995401897637071, 0.99990465453387189, 0.99982336314626385, 0.99969867158853654, 0.99951734473821929, 0.99926438818900221, 0.998923052036508, 0.99847483614453059, 0.99789949723582638, 0.99717505818699503, 0.99627781994202647, 0.99518237649358454, 0.9938616334148932, 0.99228683045801158, 0.99042756876612315, 0.98825184327798898, 0.98572608093165093, 0.98281518530153245, 0.97948258832792745, 0.9756903098201305, 0.97139902543374301, 0.96656814383854717, 0.96115589380530031, 0.95511942194735522, 0.94841490185561306, 0.94099765536237645, 0.93282228666059408, 0.92384282998911005, 0.91401291157120323, 0.90328592646221384, 0.89161523092170281, 0.87895435087564089, 0.86525720697385833, 0.85047835667664762, 0.83457325372130264, 0.81749852522376165, 0.79921226656174948, 0.77967435406322239, 0.75884677538693723, 0.73669397733007314, 0.7131832306305963, 0.68828501114913054, 0.66197339661628929, 0.6342264779166199, 0.60502678364962148, 0.57436171646195799, 0.54222399938345511, 0.50861213012343165, 0.4735308409942906, 0.43699156182725674, 0.39901288293222104, 0.35962101483159181, 0.31885024116901001, 0.27674336086026408, 0.2333521152185779, 0.18873759545291671, 0.14297062560971868, 0.096132115709591626, 0.048313379525507044, -0.00038358883718521143, -0.049845885660697295, -0.099949521968676278, -0.15055930804420456, -0.20152880479580074, -0.25270034875965974, -0.30390515757424702, -0.35496352274746379, -0.4056850964493664, -0.45586927889726703, -0.50530571264738766, -0.55377488976053313, -0.60104887736125978, -0.64689216655377857, -0.69106264898686465, -0.73331272456861973, -0.77339054291489417, -0.81104138006864557, -0.8460091508484886, -0.87803805587175265, -0.9068743608505454, -0.93226830418043516, -0.95397612713425417, -0.97176221914417393, -0.9854013687119787, -0.99468110844139446, -0.99940414055107041, -0.99939082701909576, -0.99448172624942033, -0.98454015586016352, -0.96945475889963473, -0.94914204852736517, -0.92354890398720091, -0.89265498858333392, -0.85647505838693705, -0.81506112859245528, -0.7685044628528731, -0.71693734959881206, -0.66053462833527321, -0.59951492826162256, -0.53414158132492895, -0.46472317204376912, -0.39161368717798556, -0.3152122296164856, -0.23596226275400647, -0.15435035416899404, -0.070904390633105427, 0.013808759593039822, 0.09918615657250443, 0.18459228461860086, 0.2693631422116452, 0.35281092692297711, 0.43422930879702298, 0.51289927740590668, 0.5880955389371294, 0.65909343027171097, 0.72517630714337644, 0.78564335324217838, 0.83981774665942033, 0.88705510950404776, 0.92675215601078931, 0.9583554441811033, 0.98137012613941343, 0.99536858315359633, 0.99999882287700514, 0.99499250904629088, 0.98017248784854372, 0.95545967068985072, 0.92087913039150604, 0.87656526714078131, 0.82276590205092281, 0.7598451601445787, 0.68828501114912999, 0.60868534583648182, 0.52176247787447139, 0.42834597636238814, 0.32937375243207906, 0.22588534448833064, 0.11901337075840943, 0.0099731446764950698, -0.099949521968675376, -0.20941227153109016, -0.31703181849493733, -0.42140110777252832, -0.52110785216033795, -0.61475425146856222, -0.70097765980614957, -0.77847193249159985, -0.84600915084848771, -0.90246139255836488, -0.94682218813969621, -0.97822728137500836, -0.99597429399523896, -0.99954088350734849, -0.98860097853545059, -0.9630386791909602, -0.92295942146047771, -0.86869802495628545, -0.80082327303127221, -0.72013871347380276, -0.6276794168385581, -0.52470448779900736, -0.41268519236054085, -0.29328863974147795, -0.16835704134703858, -0.039882659401103367, 0.09002134692995295, 0.21915387133951877, 0.34526219919889106, 0.46608122869670787, 0.57937497068616284, 0.68297963205683976, 0.7748475038260193, 0.85309080213204103, 0.91602455057213206, 0.96220754845479073, 0.99048044398756308, 0.99999992642979929, 0.99026806874157036, 0.96115589380530075, 0.91292030397297208, 0.84621360604462514, 0.7620849817471087, 0.66197339661628984, 0.54769160642970061, 0.42140110777252909, 0.2855780849582823, 0.14297062560971963, -0.0034522927617008812, -0.15055930804420603, -0.29512169978712482, -0.43388373911755923, -0.56363695259073099, -0.68129669877065169, -0.78397929272312616, -0.8690777846452038, -0.9343344109714895, -0.97790769530701704, -0.99843218742645046, -0.9950688952752843, -0.96754459005089155, -0.9161783491799238, -0.84189394582437793, -0.74621699410734765, -0.63125611230023981, -0.49966776553729064, -0.35460488704253801, -0.19964984230321187, -0.038732782291660182, 0.1239630836160234, 0.28410729153688535, 0.43733655464327453, 0.57937497068616117, 0.70615681024133081, 0.81394842128514178, 0.89946560517441376, 0.95998273974085324, 0.99342995728005579, 0.99847483614453048, 0.97458533851213081, 0.92207112396763224, 0.84210088492281143, 0.73669397733007302, 0.60868534583648282, 0.46166354924637748, 0.29988255844234957, 0.12814889944360713, -0.048313379525509959, -0.2240165573282355, -0.39337772332802823, -0.55089698145210475, -0.69133985418658528, -0.80991791317645134, -0.90246139255836466, -0.96557747552099782, -0.99678810088010106, -0.99464152469519274, -0.95879249417982837, -0.89004674065898659, -0.79036655916348131, -0.66283548908721601, -0.51158150864681218, -0.34165966256345809, -0.15889660674110515, 0.030298881123715433, 0.21915387133951658, 0.40077079795557791, 0.56838039236265869, 0.71559896074412133, 0.83668028795140859, 0.92675215601078997, 0.98202755565343003, 0.9999811660875062, 0.97948258832792812, 0.92087913039150737, 0.82602263024340583, 0.6982368180860713, 0.54222399938345556, 0.36391230372523414, 0.17024729818871898, -0.031065697601372073, -0.23185984575257096, -0.42383465395227493, -0.59890073081561812, -0.74952733250515868, -0.86907778464520447, -0.95211766591071434, -0.99468110844139468, -0.99448172624941999, -0.95105651629515231, -0.86583354565218051, -0.74211726695732327, -0.58498878606033655, -0.4011222042584015, -0.19852211184659407, 0.013808759593047724, 0.22625900242972455, 0.42903908336572988, 0.61263423194927435, 0.76825896913416514, 0.88829153315462384, 0.96666642869321839, 0.99920437022617881, 0.98386102377908657, 0.92087913039150748, 0.81283271986127859, 0.66455703958209811, 0.48296332366677897, 0.27674336086027079, 0.055974700631925785, -0.16835704134703514, -0.38489726725106244, -0.58249718413303753, -0.75079558121367618, -0.8807772378003631, -0.96527750388896616, -0.99940414055107052, -0.98085070531978158, -0.91008053699473446, -0.79036655916348153, -0.62767941683856299, -0.43042453941683434, -0.20903717243428122, 0.024547220293044292, 0.25752199792776376, 0.47690591218475858, 0.6702700665282546, 0.82645479681547807, 0.93623487063973665, 0.99289265158964735, 0.99266256453924517, 0.93501624268541406, 0.82276590205092304, 0.66197339661628929, 0.46166354924637809, 0.23335211521857976, -0.0095895741826257964, -0.2527003487596628, -0.48128300660049478, -0.68129669877065224, -0.84023397604037153, -0.9479273461671317, -0.99723238944639814, -0.98454015586016264, -0.91008053699473168, -0.77799016180242753, -0.59613248546922271, -0.37567331729755787, 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0.4290390833651167, -0.40568509645037554, 0.3827720280763382, -0.36033676125198227, 0.33841307983513402, -0.31703181849472845, 0.29622101515464083, -0.2760060647928777, 0.25640987367073959, -0.23745301300816751, 0.2191538713382635, -0.20152880479604404, 0.18459228461925636, -0.16835704134700888, 0.15283420512977428, -0.13803344170061341, 0.12396308361540023, -0.110630256377754, 0.098040999160336914, -0.086200379880266867, 0.075112604335562244, -0.064781119288953887, 0.055208709333225685, -0.046397587328288914, 0.038349478447046295, -0.03106569760236999, 0.024547220292490568, -0.018794746789342908, 0.013808759594209193, -0.0095895741816169593, 0.0061373830151254354, -0.0034522927602768901, 0.0015343547837478589, -0.00038358883724551112, -4.1594761818964385e-13}; + static constexpr double chirp[4096] = {0, 0.010058057078499954, 0.065373860325934646, 0.2073751884890101, 0.44037223055657981, 0.72035893569651355, 0.98128883291108426, 1.1677190772189188, 1.2547898615329176, 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-8.6979349746447998e-07, 1.7396560807753786e-06, -2.5354869769064065e-06, 3.2392805353678722e-06, -3.8363953239585816e-06, 4.315755588788113e-06, -4.6699415389888158e-06, 4.8951769372569329e-06, -4.9912122657954153e-06, 4.961126868755026e-06, -4.8110493111707796e-06, 4.5498198965403767e-06, -4.1886007326008383e-06, 3.7404541489548943e-06, -3.2198978164432041e-06, 2.6424551292118445e-06, -2.0242072935137273e-06, 1.381366273481982e-06, -7.2986795192526988e-07, 8.5007540038400942e-08, 5.3889242654543701e-07, -1.1287583845769056e-06, 1.6730003648737085e-06, -2.1616880030977254e-06, 2.5866786083437315e-06, -2.9416921004232072e-06, 3.2223352165799621e-06, -3.4260849335271751e-06, 3.5522210539359889e-06, -3.6017336040154203e-06, 3.5771844004402805e-06, -3.4825576124827498e-06, 3.3230739390731345e-06, -3.1050058442966093e-06, 2.8354690790616949e-06, -2.5222223051053413e-06, 2.1734600363278872e-06, -1.7976142783612467e-06, 1.4031665470978089e-06, -9.9847078364329045e-07, 5.915926598459853e-07, -1.9016934173048117e-07, -1.9871641257669659e-07, 5.6863505741404363e-07, -9.1389403092910493e-07, 1.2295961404687472e-06, -1.5116797825523443e-06, 1.756938801257546e-06, -1.9630237834723785e-06, 2.1284269231276048e-06, -2.2524512470496055e-06, 2.3351673356566266e-06, -2.3773576055758153e-06, 2.38045311456948e-06, -2.346460956660721e-06, 2.2778897618617555e-06, -2.1776669151843354e-06, 2.0490623449530461e-06, -1.8956009575749576e-06, 1.7209920234106599e-06, -1.5290442314250599e-06, 1.3236026678549798e-06, -1.1084749584741246e-06, 8.8737668817520654e-07, -6.6387329159152408e-07, 4.4133572162270707e-07, -2.2289882127546345e-07, 1.143093090495706e-08, 1.9049499916379276e-07, -3.8061486554337443e-07, 5.5699100343087338e-07, -7.1801201542882886e-07, 8.6239698655551922e-07, -9.8918725159255483e-07, 1.097736701703364e-06, -1.1876988294731716e-06, 1.2590061049420551e-06, -1.3118528121398507e-06, 1.3466686328801256e-06, -1.3640967709664664e-06, 1.3649667895045819e-06, -1.3502681524796105e-06, 1.3211251757177557e-06, -1.2787686273260223e-06, 1.2245127680581442e-06, -1.1597286442867599e-06, 1.0858219802920531e-06, -1.0042125490094048e-06, 9.1631089076636696e-07, -8.2350532632294304e-07, 7.2714012712849635e-07, -6.2850671807453129e-07, 5.2882736585515427e-07, -4.2924786651347968e-07, 3.3082788739903501e-07, -2.3453567622039317e-07, 1.4124227688469548e-07, -5.172126279172351e-08, -3.3356509807763723e-08, 1.1341737748103708e-07, -1.8798920287978194e-07, 2.566933232656804e-07, -3.192453342671514e-07, 3.7544741126813164e-07, -4.2518535337508767e-07, 4.6842153973193634e-07, -5.0518927206637254e-07, 5.3558675962642188e-07, -5.597691451926512e-07, 5.7794398121251145e-07, -5.9036156304422688e-07, 5.9731196702314526e-07, -5.9911460808387274e-07, 5.96115847889718e-07, -5.8868016575112925e-07, 5.7718627377231768e-07, -5.6202121455784654e-07, 5.4357634730797105e-07, -5.2224058945393725e-07, 4.9840150571022444e-07, -4.7243452332037909e-07, 4.4470684081401347e-07, -4.1557173562371732e-07, 3.8536201211894841e-07, -3.5440102586306067e-07, 3.229812305274686e-07, -2.9138585806200157e-07, 2.5986774990563455e-07, -2.2866294530857895e-07, 1.9798276428614064e-07, -1.6801848690128907e-07, 1.389354236189938e-07, -1.1088419202796851e-07, 8.3985685876350469e-08, -5.8349581956960994e-08, 3.4059866209530665e-08, -1.1184752018653099e-08, -1.0222987694222252e-08, 3.0130743457548737e-08, -4.8516586826155561e-08, 6.537405236595184e-08, -8.0710312941670304e-08, 9.4540176557092459e-08, -1.0689251071262229e-07, 1.1780202118991112e-07, -1.2731237838264908e-07, 1.3547382978276734e-07, -1.4234201613054498e-07, 1.4797659939405627e-07, -1.5244257851182441e-07, 1.558052264583748e-07, -1.581345077730778e-07, 1.5949951275538721e-07, -1.5997099673224768e-07, 1.5961985706976212e-07, -1.5851515136611205e-07, 1.5672694505391993e-07, -1.5432152779444597e-07, 1.513652246164926e-07, -1.4792134402606683e-07, 1.440504346309629e-07, -1.3981149178492192e-07, 1.3525974932801499e-07, -1.3044738114177667e-07, 1.2542518519360196e-07, -1.2023789180189842e-07, 1.1493036242149479e-07, -1.0954198247526553e-07, 1.0410980345269133e-07, -9.8668249721642343e-08, 9.3248060152768819e-08, -8.7877135618655289e-08, 8.2581251645980069e-08, -7.7382453522213679e-08, 7.2300578536285687e-08, -6.7354037049105475e-08, 6.2556093347911068e-08, -5.7921555137244174e-08, 5.3459922104599766e-08, -4.9179591802596401e-08, 4.508974681518077e-08, -4.119200906760323e-08, 3.749370972114946e-08, -3.3994536184286939e-08, 3.0696179347932534e-08, -2.7598628708769279e-08, 2.4700120113303747e-08, -2.1997354736780911e-08, 1.948946433362117e-08, -1.7168869908667367e-08, 1.5033658910422118e-08, -1.3077420675652526e-08, 1.1292449720321299e-08, -9.6759287719714454e-09, 8.2166665687100765e-09, -6.9106942345281003e-09, 5.7489547668817392e-09, -4.7234609676285316e-09, 3.8267325561591389e-09, -3.0507959640534502e-09, 2.3859314553361863e-09, -1.8249903825022333e-09, 1.3598742703733666e-09, -9.7827837969082995e-10, 6.7835277651161208e-10, -4.429485479849702e-10, 2.7079132488313888e-10, -1.4861364545123816e-10, 6.8653338439542133e-11, -2.3350667380857715e-11, 2.5369187849901779e-12, 2.9158788852898308e-12}; +}; + +struct case_tu_zeta_4_100Hz_1000Hz_z50 +{ + static constexpr int order = 4; + static constexpr double cutoff_hz = 100.0; + static constexpr double sample_rate_hz = 1000.0; + + static constexpr double b[5] = {0.0048798235073215087, 0.019519294029286018, 0.02927894104392903, 0.019519294029285969, 0.0048798235073214966}; + static constexpr double a[5] = {1, -2.5517233081456427, 2.7383921367366648, -1.4169326263681143, 0.30834097389423654}; + static constexpr double step[256] = {0.0048798235073215087, 0.036851076919876838, 0.13434894016614227, 0.32202035652720534, 0.58259478790701003, 0.86188056313325068, 1.0968407782592335, 1.2429498910276611, 1.2877500671193769, 1.2487712219334155, 1.1612064515467624, 1.0629321541805796, 0.98290589027272468, 0.93575996555074303, 0.92235165067956537, 0.93415153889895397, 0.95885158992359776, 0.98510490625955438, 1.0053116594384648, 1.0163417466337583, 1.0187366058853649, 1.0151795547394891, 1.0089432011433719, 1.0027626795833844, 0.99829074525555239, 0.99606458957413235, 0.99579550672868822, 0.99677424735819831, 0.99823314495269966, 0.99958081505297491, 1.0004944413557788, 1.0009006874433548, 1.0008951677999121, 1.0006476271108324, 1.0003250016248337, 1.0000465308517432, 0.99987037903690468, 0.9998026388804907, 0.99981706182177199, 0.99987563298461357, 0.99994392630143036, 0.99999912453984774, 1.0000315054974567, 1.0000416854590513, 1.0000361447017463, 1.0000229912521212, 1.0000090399980799, 0.99999846978191675, 0.99999277240990569, 0.9999914674502125, 0.99999306365197083, 0.99999589664702404, 0.99999866233345858, 1.0000006258315119, 1.0000015845899912, 1.0000016995116097, 1.0000012966731067, 1.0000007071095207, 1.000000173047833, 0.99999981849640307, 0.99999966508931737, 0.99999966959490971, 0.99999976347830366, 0.99999988265989848, 0.99999998337461504, 1.0000000456419476, 1.0000000686587569, 1.0000000628363104, 1.0000000421241295, 1.0000000186302143, 1.0000000000512768, 0.99999998942605617, 0.99999998628696807, 0.99999998829193848, 0.99999999267754813, 0.99999999720632993, 1.0000000005618261, 1.0000000023184423, 1.000000002676892, 1.0000000021393562, 1.0000000012405073, 1.0000000003851395, 0.99999999979170229, 0.99999999951188301, 0.99999999948807805, 0.99999999961647401, 0.99999999979578835, 0.99999999995429978, 1.0000000000570131, 1.0000000000995288, 1.0000000000960583, 1.0000000000674394, 1.0000000000324873, 1.000000000003642, 0.99999999998626843, 0.99999999998022526, 0.99999999998228584, 0.99999999998836941, 0.99999999999504452, 1.0000000000002012, 1.0000000000030651, 1.0000000000038347, 1.0000000000032045, 1.0000000000019567, 1.0000000000007057, 0.99999999999980071, 0.9999999999993433, 0.99999999999926648, 0.9999999999994259, 0.99999999999967415, 0.9999999999999033, 1.0000000000000577, 1.000000000000127, 1.0000000000001292, 1.0000000000000933, 1.0000000000000457, 1.0000000000000049, 0.99999999999997924, 0.99999999999996947, 0.99999999999997169, 0.99999999999998013, 0.9999999999999899, 0.99999999999999789, 1.0000000000000022, 1.0000000000000031, 1.0000000000000013, 0.99999999999999833, 0.99999999999999523, 0.99999999999999301, 0.99999999999999212, 0.99999999999999256, 0.99999999999999389, 0.99999999999999567, 0.99999999999999745, 0.99999999999999878, 0.99999999999999922, 0.99999999999999922, 0.99999999999999922, 0.99999999999999922, 0.99999999999999922, 0.99999999999999922, 0.99999999999999922, 0.99999999999999922, 0.99999999999999922, 0.99999999999999922, 0.99999999999999922, 0.99999999999999922, 0.99999999999999922, 0.99999999999999922, 0.99999999999999922, 0.99999999999999922, 0.99999999999999922, 0.99999999999999922, 0.99999999999999922, 0.99999999999999922, 0.99999999999999922, 0.99999999999999922, 0.99999999999999922, 0.99999999999999922, 0.99999999999999922, 0.99999999999999922, 0.99999999999999922, 0.99999999999999922, 0.99999999999999922, 0.99999999999999922, 0.99999999999999922, 0.99999999999999922, 0.99999999999999922, 0.99999999999999922, 0.99999999999999922, 0.99999999999999922, 0.99999999999999922, 0.99999999999999922, 0.99999999999999922, 0.99999999999999922, 0.99999999999999922, 0.99999999999999922, 0.99999999999999922, 0.99999999999999922, 0.99999999999999922, 0.99999999999999922, 0.99999999999999922, 0.99999999999999922, 0.99999999999999922, 0.99999999999999922, 0.99999999999999922, 0.99999999999999922, 0.99999999999999922, 0.99999999999999922, 0.99999999999999922, 0.99999999999999922, 0.99999999999999922, 0.99999999999999922, 0.99999999999999922, 0.99999999999999922, 0.99999999999999922, 0.99999999999999922, 0.99999999999999922, 0.99999999999999922, 0.99999999999999922, 0.99999999999999922, 0.99999999999999922, 0.99999999999999922, 0.99999999999999922, 0.99999999999999922, 0.99999999999999922, 0.99999999999999922, 0.99999999999999922, 0.99999999999999922, 0.99999999999999922, 0.99999999999999922, 0.99999999999999922, 0.99999999999999922, 0.99999999999999922, 0.99999999999999922, 0.99999999999999922, 0.99999999999999922, 0.99999999999999922, 0.99999999999999922, 0.99999999999999922, 0.99999999999999922, 0.99999999999999922, 0.99999999999999922, 0.99999999999999922, 0.99999999999999922, 0.99999999999999922, 0.99999999999999922, 0.99999999999999922, 0.99999999999999922, 0.99999999999999922, 0.99999999999999922, 0.99999999999999922, 0.99999999999999922, 0.99999999999999922, 0.99999999999999922, 0.99999999999999922, 0.99999999999999922, 0.99999999999999922, 0.99999999999999922, 0.99999999999999922, 0.99999999999999922, 0.99999999999999922, 0.99999999999999922, 0.99999999999999922, 0.99999999999999922, 0.99999999999999922, 0.99999999999999922, 0.99999999999999922, 0.99999999999999922, 0.99999999999999922, 0.99999999999999922, 0.99999999999999922, 0.99999999999999922, 0.99999999999999922, 0.99999999999999922, 0.99999999999999922}; + static constexpr double impulse[256] = {0.0048798235073215087, 0.031971253412555328, 0.097497863246265429, 0.18767141636106302, 0.26057443137980468, 0.27928577522624071, 0.23496021512598292, 0.14610911276842747, 0.044800176091715938, -0.03897884518596148, -0.087564770386653307, -0.098274297366182567, -0.080026263907854556, -0.047145924721981286, -0.01340831487117769, 0.011799888219388661, 0.024700051024644211, 0.026253316335957406, 0.020206753178911213, 0.011030087195293935, 0.002394859251606183, -0.0035570511458766245, -0.0062363535961177758, -0.006180521559987889, -0.0044719343278319754, -0.0022261556814193954, -0.00026908284544348814, 0.00097874062951052668, 0.0014588975945012219, 0.0013476701002742559, 0.00091362630280242231, 0.00040624608757534137, -5.5196434420540317e-06, -0.00024754068907797299, -0.00032262548599697638, -0.00027847077308947271, -0.00017615181483853209, -6.7740156414678192e-05, 1.442294127994653e-05, 5.8571162840139944e-05, 6.8293316816072161e-05, 5.5198238417581639e-05, 3.2380957609761369e-05, 1.0179961595823027e-05, -5.540757304102699e-06, -1.3153449624549711e-05, -1.3951254041087729e-05, -1.0570216163308433e-05, -5.6973720113769577e-06, -1.3049596936613621e-06, 1.5962017580315053e-06, 2.8329950529431874e-06, 2.7656864341993282e-06, 1.9634980528323903e-06, 9.5875847907182827e-07, 1.1492161881454354e-07, -4.028385025196213e-07, -5.8956358564643117e-07, -5.3406168744641234e-07, -3.5455143004824695e-07, -1.5340708618691578e-07, 4.5055913897653071e-09, 9.3883392966171215e-08, 1.1918159374885851e-07, 1.0071471540057817e-07, 6.2267331726109459e-08, 2.3016808820559004e-08, -5.8224465081308703e-09, -2.0712180304702882e-08, -2.3493913845086671e-08, -1.8578935547325228e-08, -1.0625219152279819e-08, -3.1390875548549445e-09, 2.0049700330594502e-09, 4.3856088436379196e-09, 4.5287809815514653e-09, 3.3554959844262622e-09, 1.7566169293833106e-09, 3.5845117205548445e-10, -5.3753477654017016e-10, -8.9884894965959835e-10, -8.5536862416837132e-10, -5.9343890565742821e-10, -2.7982157954155415e-10, -2.3806564386319609e-11, 1.2839569530683287e-10, 1.793152016010771e-10, 1.5851317756299238e-10, 1.0271502078740178e-10, 4.2516979449841826e-11, -3.4701686922848339e-12, -2.8618915911636155e-11, -3.495242631153033e-11, -2.884582869072774e-11, -1.7374204533870352e-11, -6.0438210127684518e-12, 2.0598954914096663e-12, 6.0829089250347066e-12, 6.6745908348531244e-12, 5.1566098226360908e-12, 2.864516354502743e-12, 7.704688173291545e-13, -6.2962696056646237e-13, -1.2476469549335048e-12, -1.251029654958564e-12, -9.0544100728383824e-13, -4.5831703889710433e-13, -7.7969793553505227e-14, 1.588892336148939e-13, 2.4873342675436864e-13, 2.3043783238962707e-13, 1.5606054918563085e-13, 7.0640639219070745e-14, 2.7205608697898175e-15, -3.6425794219931576e-14, -4.8425345887428621e-14, -4.1746527374611944e-14, -2.636975719877137e-14, -1.035384944196082e-14, 1.570078448126124e-15, 7.86730125156703e-15, 9.2358550326248324e-15, 7.4408020723691609e-15, 4.358791589009659e-15, 1.4073692053402862e-15, -6.4954112140292492e-16, -1.629568128013928e-15, -1.7293553742923454e-15, -1.3047454671056005e-15, -7.0240436654009801e-16, -1.6735429507990438e-16, 1.8091143753992973e-16, 3.2696444173402955e-16, 3.1836661448746613e-16, 2.2496815914993051e-16, 1.0974803789706024e-16, 1.4283097113481962e-17, -4.3487399555572861e-17, -6.3941857591657165e-17, -5.7678005975139065e-17, -3.8103211517190807e-17, -1.6476211999757714e-17, 2.8884676574710836e-19, 9.6501953745212063e-18, 1.22367517595755e-17, 1.0288353209840789e-17, 6.3286192742947856e-18, 2.3384419496607558e-18, -5.5837304966104206e-19, -2.0334782915064391e-18, -2.2977875215873938e-18, -1.8070714722177497e-18, -1.0280355604545287e-18, -3.0359742217497798e-19, 1.8847139162141763e-19, 4.1283268750195921e-19, 4.2413460739472498e-19, 3.1243916698769217e-19, 1.6265408268150355e-19, 3.3144186125478763e-20, -4.8908697203445718e-20, -8.1431161757907307e-20, -7.7048441193360162e-20, -5.3135889615784384e-20, -2.4901157090165798e-20, -2.0978470603056043e-21, 1.1303223297541744e-20, 1.5688136277023104e-20, 1.3784664285075719e-20, 8.8771382092040917e-21, 3.6479694503654588e-21, -3.0583144409601458e-22, -2.4420381352650412e-21, -2.9621777140597341e-21, -2.4295608929859735e-21, -1.4538661427658266e-21, -5.0099950958092899e-22, 1.7368015143151698e-22, 5.0421960793719151e-22, 5.4942851646271899e-22, 4.2181029187474261e-22, 2.3268493051434973e-22, 6.1697200048456238e-23, -5.1482959802842731e-23, -1.006839224578911e-22, -1.0026250177238421e-22, -7.2101761347228092e-23, -3.6213727241770529e-23, -5.9847468159658454e-24, 1.2647667347214965e-23, 1.9581446846795348e-23, 1.801835441648123e-23, 1.2122410041237683e-23, 5.4375130434851863e-24, 1.7214829136139842e-25, -2.8299268052657868e-24, -3.7258457972037046e-24, -3.1905637889883812e-24, -2.0015051451585341e-24, -7.7696262244132564e-25, 1.263293104618426e-25, 5.9776938578866282e-25, 6.9564524071162357e-25, 5.5673672264180592e-25, 3.2373505769151048e-25, 1.0288447222420281e-25, -4.9618334945143592e-26, -1.2130426924175402e-25, -1.2770089048118123e-25, -9.5708017681618039e-26, -5.1105876233050759e-26, -1.1862454148601507e-26, 1.344183295485566e-26, 2.3881009565731505e-26, 2.3078456401489546e-26, 1.6198118640452274e-26, 7.8283670851617226e-27, 9.5615013539460667e-28, -3.1616992182945696e-27, -4.5883705436719428e-27, -4.1092857930857253e-27, -2.6957375619240318e-27, -1.1524709750812054e-27, 3.340102393168739e-29, 6.8853030709563412e-28, 8.6370635135921745e-28, 7.2115467270546887e-28, 4.4032265822799123e-28, 1.6028890839412581e-28, -4.1251634454545322e-29, -1.426506370273514e-28, -1.5969273732380534e-28, -1.2473272210290369e-28, -7.0388830730776374e-29, -2.0334527968975476e-29, 1.3366082235619084e-29, 2.8514433289063747e-29, 2.9050474047040924e-29, 2.1253878000241488e-29, 1.0964146218800929e-29, 2.1464114277298461e-30, -3.3892220069512729e-30, -5.5440579114489642e-30, -5.2052580423274537e-30, -3.5646995108529972e-30, -1.6526096584233495e-30, -1.2149720741315436e-31, 7.6952133170679796e-31, 1.053818890792769e-30, 9.1921697675203891e-31, 5.876404695706808e-31, 2.38234753716991e-31, -2.3747885254372999e-32, -1.6376351252161867e-31, -1.9647918909122885e-31, -1.6001850079678482e-31}; + static constexpr double chirp_in[4096] = {1, 0.99999992642979929, 0.99999882287700514, 0.99999404081958787, 0.9999811660875062, 0.99995401897637071, 0.99990465453387189, 0.99982336314626385, 0.99969867158853654, 0.99951734473821929, 0.99926438818900221, 0.998923052036508, 0.99847483614453059, 0.99789949723582638, 0.99717505818699503, 0.99627781994202647, 0.99518237649358454, 0.9938616334148932, 0.99228683045801158, 0.99042756876612315, 0.98825184327798898, 0.98572608093165093, 0.98281518530153245, 0.97948258832792745, 0.9756903098201305, 0.97139902543374301, 0.96656814383854717, 0.96115589380530031, 0.95511942194735522, 0.94841490185561306, 0.94099765536237645, 0.93282228666059408, 0.92384282998911005, 0.91401291157120323, 0.90328592646221384, 0.89161523092170281, 0.87895435087564089, 0.86525720697385833, 0.85047835667664762, 0.83457325372130264, 0.81749852522376165, 0.79921226656174948, 0.77967435406322239, 0.75884677538693723, 0.73669397733007314, 0.7131832306305963, 0.68828501114913054, 0.66197339661628929, 0.6342264779166199, 0.60502678364962148, 0.57436171646195799, 0.54222399938345511, 0.50861213012343165, 0.4735308409942906, 0.43699156182725674, 0.39901288293222104, 0.35962101483159181, 0.31885024116901001, 0.27674336086026408, 0.2333521152185779, 0.18873759545291671, 0.14297062560971868, 0.096132115709591626, 0.048313379525507044, -0.00038358883718521143, -0.049845885660697295, -0.099949521968676278, -0.15055930804420456, -0.20152880479580074, -0.25270034875965974, -0.30390515757424702, -0.35496352274746379, -0.4056850964493664, -0.45586927889726703, -0.50530571264738766, -0.55377488976053313, -0.60104887736125978, -0.64689216655377857, -0.69106264898686465, -0.73331272456861973, -0.77339054291489417, -0.81104138006864557, -0.8460091508484886, -0.87803805587175265, -0.9068743608505454, -0.93226830418043516, -0.95397612713425417, -0.97176221914417393, -0.9854013687119787, -0.99468110844139446, -0.99940414055107041, -0.99939082701909576, -0.99448172624942033, -0.98454015586016352, -0.96945475889963473, -0.94914204852736517, -0.92354890398720091, -0.89265498858333392, -0.85647505838693705, -0.81506112859245528, -0.7685044628528731, -0.71693734959881206, -0.66053462833527321, -0.59951492826162256, -0.53414158132492895, -0.46472317204376912, -0.39161368717798556, -0.3152122296164856, -0.23596226275400647, -0.15435035416899404, -0.070904390633105427, 0.013808759593039822, 0.09918615657250443, 0.18459228461860086, 0.2693631422116452, 0.35281092692297711, 0.43422930879702298, 0.51289927740590668, 0.5880955389371294, 0.65909343027171097, 0.72517630714337644, 0.78564335324217838, 0.83981774665942033, 0.88705510950404776, 0.92675215601078931, 0.9583554441811033, 0.98137012613941343, 0.99536858315359633, 0.99999882287700514, 0.99499250904629088, 0.98017248784854372, 0.95545967068985072, 0.92087913039150604, 0.87656526714078131, 0.82276590205092281, 0.7598451601445787, 0.68828501114912999, 0.60868534583648182, 0.52176247787447139, 0.42834597636238814, 0.32937375243207906, 0.22588534448833064, 0.11901337075840943, 0.0099731446764950698, -0.099949521968675376, -0.20941227153109016, -0.31703181849493733, -0.42140110777252832, -0.52110785216033795, -0.61475425146856222, -0.70097765980614957, -0.77847193249159985, -0.84600915084848771, -0.90246139255836488, -0.94682218813969621, -0.97822728137500836, -0.99597429399523896, -0.99954088350734849, -0.98860097853545059, -0.9630386791909602, -0.92295942146047771, -0.86869802495628545, -0.80082327303127221, -0.72013871347380276, -0.6276794168385581, -0.52470448779900736, -0.41268519236054085, -0.29328863974147795, -0.16835704134703858, -0.039882659401103367, 0.09002134692995295, 0.21915387133951877, 0.34526219919889106, 0.46608122869670787, 0.57937497068616284, 0.68297963205683976, 0.7748475038260193, 0.85309080213204103, 0.91602455057213206, 0.96220754845479073, 0.99048044398756308, 0.99999992642979929, 0.99026806874157036, 0.96115589380530075, 0.91292030397297208, 0.84621360604462514, 0.7620849817471087, 0.66197339661628984, 0.54769160642970061, 0.42140110777252909, 0.2855780849582823, 0.14297062560971963, -0.0034522927617008812, -0.15055930804420603, -0.29512169978712482, -0.43388373911755923, -0.56363695259073099, -0.68129669877065169, -0.78397929272312616, -0.8690777846452038, -0.9343344109714895, -0.97790769530701704, -0.99843218742645046, -0.9950688952752843, -0.96754459005089155, -0.9161783491799238, -0.84189394582437793, -0.74621699410734765, -0.63125611230023981, -0.49966776553729064, -0.35460488704253801, -0.19964984230321187, -0.038732782291660182, 0.1239630836160234, 0.28410729153688535, 0.43733655464327453, 0.57937497068616117, 0.70615681024133081, 0.81394842128514178, 0.89946560517441376, 0.95998273974085324, 0.99342995728005579, 0.99847483614453048, 0.97458533851213081, 0.92207112396763224, 0.84210088492281143, 0.73669397733007302, 0.60868534583648282, 0.46166354924637748, 0.29988255844234957, 0.12814889944360713, -0.048313379525509959, -0.2240165573282355, -0.39337772332802823, -0.55089698145210475, -0.69133985418658528, -0.80991791317645134, -0.90246139255836466, -0.96557747552099782, -0.99678810088010106, -0.99464152469519274, -0.95879249417982837, -0.89004674065898659, -0.79036655916348131, -0.66283548908721601, -0.51158150864681218, -0.34165966256345809, -0.15889660674110515, 0.030298881123715433, 0.21915387133951658, 0.40077079795557791, 0.56838039236265869, 0.71559896074412133, 0.83668028795140859, 0.92675215601078997, 0.98202755565343003, 0.9999811660875062, 0.97948258832792812, 0.92087913039150737, 0.82602263024340583, 0.6982368180860713, 0.54222399938345556, 0.36391230372523414, 0.17024729818871898, -0.031065697601372073, -0.23185984575257096, -0.42383465395227493, -0.59890073081561812, -0.74952733250515868, -0.86907778464520447, -0.95211766591071434, -0.99468110844139468, -0.99448172624941999, -0.95105651629515231, -0.86583354565218051, -0.74211726695732327, -0.58498878606033655, -0.4011222042584015, -0.19852211184659407, 0.013808759593047724, 0.22625900242972455, 0.42903908336572988, 0.61263423194927435, 0.76825896913416514, 0.88829153315462384, 0.96666642869321839, 0.99920437022617881, 0.98386102377908657, 0.92087913039150748, 0.81283271986127859, 0.66455703958209811, 0.48296332366677897, 0.27674336086027079, 0.055974700631925785, -0.16835704134703514, -0.38489726725106244, -0.58249718413303753, -0.75079558121367618, -0.8807772378003631, -0.96527750388896616, -0.99940414055107052, -0.98085070531978158, -0.91008053699473446, -0.79036655916348153, -0.62767941683856299, -0.43042453941683434, -0.20903717243428122, 0.024547220293044292, 0.25752199792776376, 0.47690591218475858, 0.6702700665282546, 0.82645479681547807, 0.93623487063973665, 0.99289265158964735, 0.99266256453924517, 0.93501624268541406, 0.82276590205092304, 0.66197339661628929, 0.46166354924637809, 0.23335211521857976, -0.0095895741826257964, -0.2527003487596628, -0.48128300660049478, -0.68129669877065224, -0.84023397604037153, -0.9479273461671317, -0.99723238944639814, -0.98454015586016264, -0.91008053699473168, -0.77799016180242753, -0.59613248546922271, -0.37567331729755787, -0.13043111482230935, 0.12396308361602595, 0.37104727229943907, 0.59459149924435239, 0.77967435406322239, 0.91370141006883898, 0.98729522857459673, 0.99499250904629022, 0.93569463493371918, 0.81283271986127059, 0.63422647791661613, 0.41163671634210847, 0.16003264759379121, -0.1033839317883601, -0.36033676125160785, -0.59273942915648381, -0.78397929272312317, -0.9201297299918394, -0.99100117924590703, -0.99094976176793526, -0.91937694488673249, -0.78087390759575936, 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0.055208709333225685, -0.046397587328288914, 0.038349478447046295, -0.03106569760236999, 0.024547220292490568, -0.018794746789342908, 0.013808759594209193, -0.0095895741816169593, 0.0061373830151254354, -0.0034522927602768901, 0.0015343547837478589, -0.00038358883724551112, -4.1594761818964385e-13}; + static constexpr double chirp[4096] = {0.0048798235073215087, 0.036851076560867245, 0.13434893206985826, 0.32202028264042165, 0.58259437690437332, 0.86187891551997142, 1.096835561009909, 1.2429360642685179, 1.2877181648085423, 1.2487053005018349, 1.1610818700177141, 1.0627133460016214, 0.98254424273573238, 0.93519186034708512, 0.92149666165289923, 0.9329107452405937, 0.95710594936235927, 0.98271363921546007, 1.002110613157198, 1.0121417290936863, 1.0133216962151581, 1.0083054068725241, 1.0003353604337373, 0.99211493006168339, 0.9852635007456213, 0.98028333734345585, 0.97684930917300083, 0.97421430595128544, 0.97157143112545308, 0.96828877421129278, 0.96400177824148447, 0.95859424296211859, 0.95211789899062693, 0.94469770303615297, 0.93645502869753283, 0.92746292161859079, 0.91773287886190602, 0.90722402540114233, 0.89586303253897237, 0.88356489688499074, 0.87024851596617137, 0.85584494572133563, 0.84029914160138286, 0.82356747472225278, 0.8056135480831379, 0.78640426914276695, 0.76590725579835228, 0.74408983818137497, 0.72091936982977012, 0.69636432155707917, 0.67039563810989411, 0.64298798632654175, 0.61412071302288618, 0.5837784910802637, 0.55195173063889302, 0.51863686731535652, 0.48383662778072073, 0.44756033762680908, 0.40982429704987833, 0.37065221907817875, 0.33007570773064859, 0.2881347486665008, 0.24487818852537474, 0.20036418656913002, 0.15466062966213528, 0.10784550690250401, 0.060007242700902817, 0.011244987212165148, -0.038331138332953971, -0.088599845732777627, -0.13942853940675429, -0.19067323870260486, -0.24217857071456994, -0.29377784147808367, -0.34529319316122842, -0.39653585448670048, -0.44730649120538157, -0.49739566305257021, 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-6.475816227194918e-07, 7.3624884035922156e-07, -7.9446381026550966e-07, 8.2135017406403249e-07, -8.1725040171863605e-07, 7.8363975823843302e-07, -7.2300994690722986e-07, 6.3871680163266054e-07, -5.3480651105016971e-07, 4.1582975831124316e-07, -2.866440386773729e-07, 1.5222387966242965e-07, -1.7472554621677724e-08, -1.1294579711833242e-07, 2.3475808364707001e-07, -3.4420941549167042e-07, 4.3816170118646941e-07, -5.1416811347373276e-07, 5.7051240307665063e-07, -6.0622868761420201e-07, 6.2108292209119703e-07, -6.1554432634336465e-07, 5.9071941875370182e-07, -5.4828480162798232e-07, 4.9039080609724478e-07, -4.1956785848656225e-07, 3.386185826719651e-07, -2.5051204896467741e-07, 1.5828036997061513e-07, -6.4916333668372378e-08, -2.6714061517898145e-08, 1.1395730073731486e-07, -1.9443609868170786e-07, 2.6610982438272923e-07, -3.27310468992148e-07, 3.7677383732869982e-07, -4.1364847556089879e-07, 4.3749594674877962e-07, -4.4827931789531705e-07, 4.4633288985226893e-07, -4.3233773711764956e-07, 4.0726857567126296e-07, -3.723583003219233e-07, 3.2903662643916226e-07, -2.7888379382397244e-07, 2.2357336497674102e-07, -1.6481995368002045e-07, 1.0433166059429025e-07, -4.3760499899734781e-08, -1.533478478655528e-08, 7.1527500583069836e-08, -1.2354965001027882e-07, 1.7031652433177613e-07, -2.1094141400453126e-07, 2.4474631759360127e-07, -2.7126411333323885e-07, 2.9023761886730337e-07, -3.0160963161111193e-07, 3.055135420759747e-07, -3.0225315525694157e-07, 2.9228772586726431e-07, -2.762053782868687e-07, 2.5470392877886133e-07, -2.2856308486748217e-07, 1.9862213883076879e-07, -1.6575505217778647e-07, 1.3084654844211854e-07, -9.4773333457996711e-08, 5.8379836943411173e-08, -2.2467045429370308e-08, -1.2229609210414639e-08, 4.5044654992720688e-08, -7.5400259199037006e-08, 1.0280505753873341e-07, -1.2686574871103445e-07, 1.4728284366541042e-07, -1.6385397250823219e-07, 1.7646976465746436e-07, -1.851087258527423e-07, 1.8983245379539798e-07, -1.9077758303068931e-07, 1.8814635228438237e-07, -1.8219993651227145e-07, 1.7324544642448314e-07, -1.6162927159169005e-07, 1.4772481360999373e-07, -1.3192420749222333e-07, 1.1462872174985289e-07, -9.6239988602551951e-08, 7.7152469108755783e-08, -5.7745976836214019e-08, 3.8379962906138348e-08, -1.9387611523364115e-08, 1.0724238025394683e-09, 1.6296242305461131e-08, -3.2483951132710603e-08, 4.7295200648628938e-08, -6.0570073455749537e-08, 7.2189947978619495e-08, -8.2068956732024578e-08, 9.0161421939082692e-08, -9.6450773090939884e-08, 1.0095535630562369e-07, -1.0371881249953557e-07, 1.0481208180534995e-07, -1.0432681313114756e-07, 1.0237403925191652e-07, -9.9079049396301466e-08, 9.4580590301492073e-08, -8.902356070979861e-08, 8.2561244815586299e-08, -7.534652070231157e-08, 6.7534444767383683e-08, -5.9275987372015004e-08, 5.071757777988517e-08, -4.1999622348975335e-08, 3.32526239100496e-08, -2.459927246015875e-08, 1.6149590636570926e-08, -8.0035349116387711e-09, 2.4820506739318959e-10, 7.0417114524361918e-09, -1.3803166487081665e-08, 1.9986600256706368e-08, -2.5553009842317009e-08, 3.0476083853639511e-08, -3.4739748921725627e-08, 3.8337596294183568e-08, -4.1274243409985742e-08, 4.3560125712657077e-08, -4.5216223880113066e-08, 4.6267293064925635e-08, -4.6745980494030531e-08, 4.6688190660781892e-08, -4.6134370826171611e-08, 4.5127485365746567e-08, -4.3713112293959633e-08, 4.1936977487021243e-08, -3.9847308595103437e-08, 3.7489560668520217e-08, -3.4911463657472108e-08, 3.2156678382577741e-08, -2.9269469938031367e-08, 2.6290331888931262e-08, -2.3258433719773597e-08, 2.0209648798202862e-08, -1.7177127610915055e-08, 1.4191297310894857e-08, -1.1278724205456003e-08, 8.4639879701330079e-09, -5.7669884050495779e-09, 3.2063972410338593e-09, -7.9582418996762549e-10, -1.4520789202131235e-09, 3.5289260064477745e-09, -5.4280798788067242e-09, 7.1456672892135364e-09, -8.6797365518934133e-09, 1.003147840315799e-08, -1.1201490164570137e-08, 1.2195647256939453e-08, -1.3017657224709918e-08, 1.3674184022100704e-08, -1.417491211593621e-08, 1.4523985233136187e-08, -1.4736432605872568e-08, 1.4815949968619013e-08, -1.4777377612806147e-08, 1.4628221801406271e-08, -1.4380186071864115e-08, 1.4042751819015598e-08, -1.3627964466113307e-08, 1.3142723436464221e-08, -1.2601138317698546e-08, 1.2008120635429581e-08, -1.1376082833993578e-08, 1.0712158302755848e-08, -1.0023594599305186e-08, 9.3200585686570303e-09, -8.6061834802739212e-09, 7.889548142396563e-09, -7.1763647012737519e-09, 6.4701441695666495e-09, -5.7777046254953168e-09, 5.10147545474543e-09, -4.4458825223733789e-09, 3.8138964434525358e-09, -3.2080188800548415e-09, 2.6301982848642158e-09, -2.0828767460789877e-09, 1.5661584824161467e-09, -1.0823202915496988e-09, 6.308292239270985e-10, -2.1255579674833713e-10, -1.7247383382601456e-10, 5.2517143325075955e-10, -8.4495571390369451e-10, 1.1337531330424255e-09, -1.3914029190972843e-09, 1.6194211041598017e-09, -1.8190849234919759e-09, 1.9910642544418433e-09, -2.1372293891250282e-09, 2.2589259343272494e-09, -2.3568181104632879e-09, 2.4338331801321278e-09, -2.4897483979005597e-09, 2.5273099737120608e-09, -2.5474895409306753e-09, 2.5515434114511959e-09, -2.5412584905327995e-09, 2.5178748747425872e-09, -2.4824510576511305e-09, 2.4367253193512128e-09, -2.3817064063146043e-09, 2.3180729727227678e-09, -2.2482919605909535e-09, 2.1715004482059097e-09, -2.0903677725413183e-09, 2.0052705897687095e-09, -1.9158383629536146e-09, 1.8258119842406995e-09, -1.7321475599338387e-09, 1.6388498086817443e-09, -1.5446477211449733e-09, 1.4504733052665697e-09, -1.357208726914666e-09, 1.2654175684731483e-09, -1.1740601908640652e-09, 1.0863439913258444e-09, -9.9938501484791997e-10, 9.1556797213176999e-10, -8.3534276750559661e-10, 7.5632515820957952e-10, -6.8279128835266323e-10, 6.1086110757398171e-10, -5.433723178436406e-10, 4.7956727944244854e-10, -4.1921799126716508e-10, 3.6271117359598648e-10, -3.1069218828531572e-10, 2.6203569297570707e-10, -2.1718751550361438e-10, 1.7816899718818904e-10, -1.398149226196398e-10, 1.0985375056718569e-10, -8.0076613308971423e-11, 5.6859947611018983e-11, -3.7133759503866224e-11, 2.0883687960632658e-11, -9.614900354876449e-12, 2.4048912116830914e-12, 1.9054949972044424e-12}; +}; + +struct case_tupw_zeta_4_100Hz_1000Hz_z50 +{ + static constexpr int order = 4; + static constexpr double cutoff_hz = 100.0; + static constexpr double sample_rate_hz = 1000.0; + + static constexpr double b[5] = {0.0054466940469428881, 0.02178677618777158, 0.03268016428165739, 0.021786776187771601, 0.0054466940469429098}; + static constexpr double a[5] = {1, -2.5010328616974808, 2.6552379748415893, -1.3648719454836578, 0.29781393709063592}; + static constexpr double step[256] = {0.0054466940469428881, 0.040855831033730673, 0.14763314165290567, 0.34988783529953166, 0.62436783087055947, 0.90900899769509524, 1.1363481880738551, 1.2635367175485182, 1.2847545329271188, 1.225623949523895, 1.127289344490243, 1.0294381206249004, 0.95878613616525887, 0.9252972549446713, 0.92486932023793356, 0.94543053737234806, 0.97332419677767679, 0.99788161052847857, 1.0134270789588005, 1.0190488849515249, 1.0170428929232622, 1.0110026418472586, 1.0042655497492119, 0.99904199063580446, 0.99621952356328658, 0.99563383614080647, 0.99654024503698635, 0.99806568553888197, 0.99951531274022576, 1.0005020284097286, 1.000932821273492, 1.0009145415231715, 1.0006399870470879, 1.0002959737830404, 1.0000113471386467, 0.99984363589274972, 0.99979216812682659, 0.99982273184455595, 0.99989169328063265, 0.99996271399111281, 1.0000142734768955, 1.0000396697860157, 1.0000426805835745, 1.0000319985810779, 1.0000165957341747, 1.0000029819448966, 0.9999943554115539, 0.99999108635405498, 0.99999182193616687, 0.99999462203965173, 0.99999777930191647, 1.0000002183237593, 1.0000015378309628, 1.0000018371272685, 1.0000014707473117, 1.0000008342997495, 1.0000002308829523, 0.99999982244111363, 0.9999996435734827, 0.99999964668623631, 0.99999975164258703, 0.99999988338502754, 0.99999999171089649, 1.0000000551548807, 1.0000000747535063, 1.0000000639276414, 1.000000039144743, 1.0000000137622589, 0.99999999547166196, 0.99999998652142408, 0.999999985439325, 0.99999998909290577, 0.99999999433512776, 0.99999999893355007, 1.0000000018239426, 1.0000000029098783, 1.0000000026662104, 1.0000000017489119, 1.0000000007230789, 0.99999999993709998, 0.99999999951574459, 0.99999999942193518, 0.99999999953886076, 0.99999999973936105, 0.9999999999278012, 1.0000000000542464, 1.0000000001089717, 1.0000000001075846, 1.0000000000752682, 1.000000000035163, 1.0000000000024745, 0.99999999998351397, 0.99999999997777478, 0.99999999998109323, 0.99999999998848821, 0.99999999999598599, 1.0000000000013411, 1.0000000000039311, 1.0000000000042204, 1.0000000000031437, 1.0000000000016225, 1.0000000000003006, 0.99999999999947764, 0.99999999999917299, 0.99999999999924538, 0.99999999999950606, 0.99999999999979516, 1.0000000000000151, 1.0000000000001323, 1.0000000000001585, 1.000000000000127, 1.0000000000000726, 1.0000000000000218, 0.9999999999999879, 0.99999999999997324, 0.9999999999999728, 0.99999999999998013, 0.99999999999998967, 0.99999999999999789, 1.0000000000000031, 1.0000000000000058, 1.0000000000000064, 1.0000000000000053, 1.0000000000000029, 0.99999999999999989, 0.99999999999999722, 0.99999999999999567, 0.99999999999999567, 0.999999999999997, 0.99999999999999878, 1.0000000000000002, 1.0000000000000009, 1.0000000000000009, 1.0000000000000007, 1.0000000000000007, 1.0000000000000009, 1.0000000000000011, 1.0000000000000011, 1.0000000000000004, 0.99999999999999944, 0.99999999999999856, 0.99999999999999811, 0.99999999999999811, 0.99999999999999811, 0.99999999999999767, 0.99999999999999678, 0.99999999999999589, 0.99999999999999545, 0.99999999999999567, 0.99999999999999656, 0.99999999999999811, 0.99999999999999967, 1.0000000000000007, 1.0000000000000009, 1.0000000000000004, 0.99999999999999989, 0.999999999999999, 0.99999999999999811, 0.99999999999999722, 0.99999999999999634, 0.99999999999999567, 0.99999999999999589, 0.999999999999997, 0.99999999999999856, 1.0000000000000002, 1.0000000000000018, 1.0000000000000029, 1.0000000000000029, 1.000000000000002, 1.0000000000000009, 0.99999999999999989, 0.999999999999999, 0.99999999999999811, 0.99999999999999722, 0.99999999999999634, 0.99999999999999567, 0.99999999999999589, 0.999999999999997, 0.99999999999999856, 1.0000000000000002, 1.0000000000000018, 1.0000000000000029, 1.0000000000000029, 1.000000000000002, 1.0000000000000009, 0.99999999999999989, 0.999999999999999, 0.99999999999999811, 0.99999999999999722, 0.99999999999999634, 0.99999999999999567, 0.99999999999999589, 0.999999999999997, 0.99999999999999856, 1.0000000000000002, 1.0000000000000018, 1.0000000000000029, 1.0000000000000029, 1.000000000000002, 1.0000000000000009, 0.99999999999999989, 0.999999999999999, 0.99999999999999811, 0.99999999999999722, 0.99999999999999634, 0.99999999999999567, 0.99999999999999589, 0.999999999999997, 0.99999999999999856, 1.0000000000000002, 1.0000000000000018, 1.0000000000000029, 1.0000000000000029, 1.000000000000002, 1.0000000000000009, 0.99999999999999989, 0.999999999999999, 0.99999999999999811, 0.99999999999999722, 0.99999999999999634, 0.99999999999999567, 0.99999999999999589, 0.999999999999997, 0.99999999999999856, 1.0000000000000002, 1.0000000000000018, 1.0000000000000029, 1.0000000000000029, 1.000000000000002, 1.0000000000000009, 0.99999999999999989, 0.999999999999999, 0.99999999999999811, 0.99999999999999722, 0.99999999999999634, 0.99999999999999567, 0.99999999999999589, 0.999999999999997, 0.99999999999999856, 1.0000000000000002, 1.0000000000000018, 1.0000000000000029, 1.0000000000000029, 1.000000000000002, 1.0000000000000009, 0.99999999999999989, 0.999999999999999, 0.99999999999999811, 0.99999999999999722, 0.99999999999999634, 0.99999999999999567, 0.99999999999999589, 0.999999999999997, 0.99999999999999856, 1.0000000000000002, 1.0000000000000018}; + static constexpr double impulse[256] = {0.0054466940469428881, 0.035409136986787784, 0.10677731061917498, 0.20225469364662602, 0.27447999557102798, 0.28464116682453589, 0.2273391903787596, 0.12718852947466247, 0.021217815378599847, -0.059130583403224496, -0.098334605033652212, -0.097851223865342174, -0.070651984459641076, -0.03348888122058738, -0.00042793470673771483, 0.020561217134414344, 0.027893659405328175, 0.024557413750800956, 0.015545468430321459, 0.0056218059927244102, -0.0020059920282622309, -0.0060402510760030129, -0.0067370920980464946, -0.0052235591134077095, -0.0028224670725185749, -0.00058568742248091797, 0.00090640889617938595, 0.0015254405018956378, 0.0014496272013441338, 0.00098671566950308057, 0.00043079286376346239, -1.8279750321094921e-05, -0.00027455447608428505, -0.00034401326404815997, -0.0002846266443941851, -0.00016771124589690426, -5.1467765922288728e-05, 3.0563717730464388e-05, 6.8961436077789092e-05, 7.1020710481013602e-05, 5.1559485783329645e-05, 2.5396309120316542e-05, 3.0107975586392217e-06, -1.0682002497099761e-05, -1.5402846904591537e-05, -1.3613789279801716e-05, -8.6265333438653677e-06, -3.2690574992989915e-06, 7.3558211267634364e-07, 2.8001034866786333e-06, 3.1572622667585624e-06, 2.4390218444786362e-06, 1.3195072045963494e-06, 2.9929630581812104e-07, -3.6637995762589544e-07, -6.3644756356489677e-07, -6.0341679893622061e-07, -4.0844184041032259e-07, -1.788676323950964e-07, 3.1127530129196481e-09, 1.049563508411873e-07, 1.3174244164544506e-07, 1.0832587046342133e-07, 6.3443985379171752e-08, 1.9598625962821668e-08, -1.082586533967976e-08, -2.4782899099826084e-08, -2.5382484620167855e-08, -1.8290597177312539e-08, -8.950237671109303e-09, -1.0820987390147969e-09, 3.6535811667279963e-09, 5.2422226796322703e-09, 4.5984230396393652e-09, 2.8903929233907314e-09, 1.0859354810459213e-09, -2.4366910367900858e-10, -9.1729982046535429e-10, -1.0258339611979629e-09, -7.8597897461574989e-10, -4.2135468989864225e-10, -9.3808028378213171e-11, 1.1692701042411468e-10, 2.0050123234575805e-10, 1.8844048546053577e-10, 1.2644509494320788e-10, 5.4725018398004137e-11, -1.3876778532564e-12, -3.2317415087000219e-11, -4.0106771428215585e-11, -3.2689801288581047e-11, -1.8961108118517325e-11, -5.7391832497899378e-12, 3.3193312351472965e-12, 7.3966477055954312e-12, 7.4992766842013601e-12, 5.3557483916521574e-12, 2.5894723311160353e-12, 2.8829646457635972e-13, -1.0781047243829565e-12, -1.5225894410271278e-12, -1.3231148152792303e-12, -8.2364992667257413e-13, -3.0385583052096903e-13, 7.4599209901691355e-14, 2.632499700432938e-13, 2.9088829979207082e-13, 2.2084074947387307e-13, 1.170381259478776e-13, 2.4957224309676874e-14, -3.3556484824043899e-14, -5.6220639414300159e-14, -5.230138365463891e-14, -3.4761216445678445e-14, -1.4806709260024655e-14, 6.2583423486286697e-16, 9.0120405609075934e-15, 1.1020783421223193e-14, 8.8980571397673316e-15, 5.1054298349765233e-15, 1.5004353987610265e-15, -9.4092727768210004e-16, -2.019010569394178e-15, -2.023791920818396e-15, -1.4317123812465021e-15, -6.8258017938066501e-16, -6.6545705160439173e-17, 2.9458919438082896e-16, 4.0822130291260809e-16, 3.5122600206690454e-16, 2.1639783272241561e-16, 7.8066508490332078e-17, -2.153631666483954e-17, -7.0392861143368018e-17, -7.6766316322402823e-17, -5.7728890401488496e-17, -3.0212439756032421e-17, -6.0905790087830695e-18, 9.0580150521271947e-18, 1.4782686686731717e-17, 1.3605624856617024e-17, 8.9534537497163737e-18, 3.7455814756856538e-18, -2.3828250076078218e-19, -2.3729894038279161e-18, -2.8564519707486059e-18, -2.2839401341179876e-18, -1.295512398059387e-18, -3.6769634537608632e-19, 2.5367846659084351e-19, 5.2276015698525772e-19, 5.1782685506977977e-19, 3.6279307913101706e-19, 1.7035557252429347e-19, 1.3845010935036046e-20, -7.675771679133384e-20, -1.0426666443082721e-19, -8.8801946383241252e-20, -5.4131470643884311e-20, -1.9045413946817953e-20, 5.9475108606639543e-21, 1.8008958090086626e-20, 1.9375494502047997e-20, 1.4430259483334602e-20, 7.4526744267158213e-21, 1.4053608457899038e-21, -2.348606459963089e-21, -3.7310955677829588e-21, -3.3968562858818465e-21, -2.2127856728167228e-21, -9.0780780812242842e-22, 7.9913801691520489e-23, 6.0177486815186988e-22, 7.1282556358819609e-22, 5.6437460041423211e-22, 3.1634410719412529e-22, 8.6336807679540329e-23, -6.6028022060731195e-23, -1.3069244805906575e-22, -1.2791899316656492e-22, -8.8742153970740033e-23, -4.1006065573458699e-23, -2.5969928988700559e-24, 1.9360080574973498e-23, 2.5776453652645969e-23, 2.172975158736751e-23, 1.3101655720172732e-23, 4.485866526277706e-24, -1.5869730286958052e-24, -4.469455386425242e-24, -4.7436860440278922e-24, -3.4986155493528832e-24, -1.7821487173385006e-24, -3.1101353487633539e-25, 5.9174748568320999e-25, 9.1532654015822835e-25, 8.2428643818969149e-25, 5.3144138788499768e-25, 2.1354858948209835e-25, -2.456288077120489e-26, -1.4858944470802251e-25, -1.7321096359815608e-25, -1.3578890877460176e-25, -7.5186591142806911e-26, -1.965104539325675e-26, 1.6740548628161221e-26, 3.1866624823425224e-26, 3.0819789605576478e-26, 2.116889460405568e-26, 9.6185188359352474e-27, 4.2252004932812995e-28, -4.7684524675745009e-27, -6.2242929305706534e-27, -5.193628288835606e-27, -3.0966154217851604e-27, -1.0296690684062735e-27, 4.1205832120318513e-28, 1.0848391875539862e-27, 1.1359543612389486e-27, 8.2960962113338101e-28, 4.1660162869164716e-28, 6.647540271639485e-29, -1.4591144128221109e-28, -2.1989875530388582e-28, -1.9588377241169116e-28, -1.2497596030546507e-28, -4.9130133649643451e-29, 7.0974855261760661e-30, 3.5963976505247788e-29, 4.1264815665942217e-29, 3.2030541279509347e-29, 1.7514023209014455e-29, 4.3650538277292987e-30, -4.1584064763378548e-30, -7.6253106102923925e-30, -7.2877743223718646e-30, -4.9556149699959709e-30, -2.2125218798882754e-30, -5.1207815029854914e-32, 1.1533206058891244e-30, 1.4765038327690072e-30, 1.2194716780783923e-30, 7.1885503414613767e-31, 2.3165626269652428e-31, -1.0465199729411632e-31, -2.5887118273984146e-31, -2.6747329158688663e-31, -1.9342193567313779e-31, -9.5708567691498606e-32, -1.3760349897803247e-32, 3.5375036561974331e-32, 5.1984941718961279e-32, 4.580913693374684e-32, 2.891818441789478e-32, 1.1108779175146347e-32, -1.9594739745456668e-33}; + static constexpr double chirp_in[4096] = {1, 0.99999992642979929, 0.99999882287700514, 0.99999404081958787, 0.9999811660875062, 0.99995401897637071, 0.99990465453387189, 0.99982336314626385, 0.99969867158853654, 0.99951734473821929, 0.99926438818900221, 0.998923052036508, 0.99847483614453059, 0.99789949723582638, 0.99717505818699503, 0.99627781994202647, 0.99518237649358454, 0.9938616334148932, 0.99228683045801158, 0.99042756876612315, 0.98825184327798898, 0.98572608093165093, 0.98281518530153245, 0.97948258832792745, 0.9756903098201305, 0.97139902543374301, 0.96656814383854717, 0.96115589380530031, 0.95511942194735522, 0.94841490185561306, 0.94099765536237645, 0.93282228666059408, 0.92384282998911005, 0.91401291157120323, 0.90328592646221384, 0.89161523092170281, 0.87895435087564089, 0.86525720697385833, 0.85047835667664762, 0.83457325372130264, 0.81749852522376165, 0.79921226656174948, 0.77967435406322239, 0.75884677538693723, 0.73669397733007314, 0.7131832306305963, 0.68828501114913054, 0.66197339661628929, 0.6342264779166199, 0.60502678364962148, 0.57436171646195799, 0.54222399938345511, 0.50861213012343165, 0.4735308409942906, 0.43699156182725674, 0.39901288293222104, 0.35962101483159181, 0.31885024116901001, 0.27674336086026408, 0.2333521152185779, 0.18873759545291671, 0.14297062560971868, 0.096132115709591626, 0.048313379525507044, -0.00038358883718521143, -0.049845885660697295, -0.099949521968676278, -0.15055930804420456, -0.20152880479580074, -0.25270034875965974, -0.30390515757424702, -0.35496352274746379, -0.4056850964493664, -0.45586927889726703, -0.50530571264738766, -0.55377488976053313, -0.60104887736125978, -0.64689216655377857, -0.69106264898686465, -0.73331272456861973, -0.77339054291489417, -0.81104138006864557, -0.8460091508484886, -0.87803805587175265, -0.9068743608505454, -0.93226830418043516, -0.95397612713425417, -0.97176221914417393, -0.9854013687119787, -0.99468110844139446, -0.99940414055107041, -0.99939082701909576, -0.99448172624942033, -0.98454015586016352, -0.96945475889963473, -0.94914204852736517, -0.92354890398720091, -0.89265498858333392, -0.85647505838693705, -0.81506112859245528, -0.7685044628528731, -0.71693734959881206, -0.66053462833527321, -0.59951492826162256, -0.53414158132492895, -0.46472317204376912, -0.39161368717798556, -0.3152122296164856, -0.23596226275400647, -0.15435035416899404, -0.070904390633105427, 0.013808759593039822, 0.09918615657250443, 0.18459228461860086, 0.2693631422116452, 0.35281092692297711, 0.43422930879702298, 0.51289927740590668, 0.5880955389371294, 0.65909343027171097, 0.72517630714337644, 0.78564335324217838, 0.83981774665942033, 0.88705510950404776, 0.92675215601078931, 0.9583554441811033, 0.98137012613941343, 0.99536858315359633, 0.99999882287700514, 0.99499250904629088, 0.98017248784854372, 0.95545967068985072, 0.92087913039150604, 0.87656526714078131, 0.82276590205092281, 0.7598451601445787, 0.68828501114912999, 0.60868534583648182, 0.52176247787447139, 0.42834597636238814, 0.32937375243207906, 0.22588534448833064, 0.11901337075840943, 0.0099731446764950698, -0.099949521968675376, -0.20941227153109016, -0.31703181849493733, -0.42140110777252832, -0.52110785216033795, -0.61475425146856222, -0.70097765980614957, -0.77847193249159985, -0.84600915084848771, -0.90246139255836488, -0.94682218813969621, -0.97822728137500836, -0.99597429399523896, -0.99954088350734849, -0.98860097853545059, -0.9630386791909602, -0.92295942146047771, -0.86869802495628545, -0.80082327303127221, -0.72013871347380276, -0.6276794168385581, -0.52470448779900736, -0.41268519236054085, -0.29328863974147795, -0.16835704134703858, -0.039882659401103367, 0.09002134692995295, 0.21915387133951877, 0.34526219919889106, 0.46608122869670787, 0.57937497068616284, 0.68297963205683976, 0.7748475038260193, 0.85309080213204103, 0.91602455057213206, 0.96220754845479073, 0.99048044398756308, 0.99999992642979929, 0.99026806874157036, 0.96115589380530075, 0.91292030397297208, 0.84621360604462514, 0.7620849817471087, 0.66197339661628984, 0.54769160642970061, 0.42140110777252909, 0.2855780849582823, 0.14297062560971963, -0.0034522927617008812, -0.15055930804420603, -0.29512169978712482, -0.43388373911755923, -0.56363695259073099, -0.68129669877065169, -0.78397929272312616, -0.8690777846452038, -0.9343344109714895, -0.97790769530701704, -0.99843218742645046, -0.9950688952752843, -0.96754459005089155, -0.9161783491799238, -0.84189394582437793, -0.74621699410734765, -0.63125611230023981, -0.49966776553729064, -0.35460488704253801, -0.19964984230321187, -0.038732782291660182, 0.1239630836160234, 0.28410729153688535, 0.43733655464327453, 0.57937497068616117, 0.70615681024133081, 0.81394842128514178, 0.89946560517441376, 0.95998273974085324, 0.99342995728005579, 0.99847483614453048, 0.97458533851213081, 0.92207112396763224, 0.84210088492281143, 0.73669397733007302, 0.60868534583648282, 0.46166354924637748, 0.29988255844234957, 0.12814889944360713, -0.048313379525509959, -0.2240165573282355, -0.39337772332802823, -0.55089698145210475, -0.69133985418658528, -0.80991791317645134, -0.90246139255836466, -0.96557747552099782, -0.99678810088010106, -0.99464152469519274, -0.95879249417982837, -0.89004674065898659, -0.79036655916348131, -0.66283548908721601, -0.51158150864681218, -0.34165966256345809, -0.15889660674110515, 0.030298881123715433, 0.21915387133951658, 0.40077079795557791, 0.56838039236265869, 0.71559896074412133, 0.83668028795140859, 0.92675215601078997, 0.98202755565343003, 0.9999811660875062, 0.97948258832792812, 0.92087913039150737, 0.82602263024340583, 0.6982368180860713, 0.54222399938345556, 0.36391230372523414, 0.17024729818871898, -0.031065697601372073, -0.23185984575257096, -0.42383465395227493, -0.59890073081561812, -0.74952733250515868, -0.86907778464520447, -0.95211766591071434, -0.99468110844139468, -0.99448172624941999, -0.95105651629515231, -0.86583354565218051, -0.74211726695732327, -0.58498878606033655, -0.4011222042584015, -0.19852211184659407, 0.013808759593047724, 0.22625900242972455, 0.42903908336572988, 0.61263423194927435, 0.76825896913416514, 0.88829153315462384, 0.96666642869321839, 0.99920437022617881, 0.98386102377908657, 0.92087913039150748, 0.81283271986127859, 0.66455703958209811, 0.48296332366677897, 0.27674336086027079, 0.055974700631925785, -0.16835704134703514, -0.38489726725106244, -0.58249718413303753, -0.75079558121367618, -0.8807772378003631, -0.96527750388896616, -0.99940414055107052, -0.98085070531978158, -0.91008053699473446, -0.79036655916348153, -0.62767941683856299, -0.43042453941683434, -0.20903717243428122, 0.024547220293044292, 0.25752199792776376, 0.47690591218475858, 0.6702700665282546, 0.82645479681547807, 0.93623487063973665, 0.99289265158964735, 0.99266256453924517, 0.93501624268541406, 0.82276590205092304, 0.66197339661628929, 0.46166354924637809, 0.23335211521857976, -0.0095895741826257964, -0.2527003487596628, -0.48128300660049478, -0.68129669877065224, -0.84023397604037153, -0.9479273461671317, -0.99723238944639814, -0.98454015586016264, -0.91008053699473168, -0.77799016180242753, -0.59613248546922271, -0.37567331729755787, -0.13043111482230935, 0.12396308361602595, 0.37104727229943907, 0.59459149924435239, 0.77967435406322239, 0.91370141006883898, 0.98729522857459673, 0.99499250904629022, 0.93569463493371918, 0.81283271986127059, 0.63422647791661613, 0.41163671634210847, 0.16003264759379121, -0.1033839317883601, -0.36033676125160785, -0.59273942915648381, -0.78397929272312317, -0.9201297299918394, -0.99100117924590703, -0.99094976176793526, -0.91937694488673249, -0.78087390759575936, -0.58498878606034577, -0.34562217432566072, -0.080084217820004439, 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0.94344707363902069, 0.93515365216831448, 0.9261785016075611, 0.91647426338213378, 0.90595976001279388, 0.89454430314596678, 0.88214461632786811, 0.86869257987231108, 0.85413547080051033, 0.83843188077565589, 0.82154642623983498, 0.80344540535018782, 0.78409436750491834, 0.76345759251779355, 0.74149892093681125, 0.7181832229366395, 0.69347791487259947, 0.66735417614801029, 0.63978776033085594, 0.61075946310418261, 0.58025538694260492, 0.54826714471649418, 0.5147921032302798, 0.4798337138028228, 0.44340193168001946, 0.40551369889999767, 0.36619345628365879, 0.3254736541571131, 0.283395241393049, 0.24000812272475319, 0.19537158171873836, 0.14955467027717609, 0.10263656567416427, 0.054706894239932656, 0.005866018248516975, -0.043774719693063582, -0.094092801944423904, -0.14495439868108045, -0.19621429620742642, -0.2477158983629715, -0.29929130826885503, -0.35076149732527506, -0.40193656812600759, -0.45261611777814953, -0.50258970794336399, -0.55163744768698508, -0.59953069488367139, 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-9.0856642053979697e-07, 9.3971738235245489e-07, -9.3539995997624775e-07, 8.9728920392353334e-07, -8.2822458030446661e-07, 7.3203667132898387e-07, -6.1334808805491026e-07, 4.7736106479614668e-07, -3.2963149365541206e-07, 1.758512118278481e-07, -2.1633050763182789e-08, -1.2768213266653493e-07, 2.6719902561345675e-07, -3.9261397835090028e-07, 5.0032813102588933e-07, -5.8753274430160818e-07, 6.5225499198615089e-07, -6.9338029802957363e-07, 7.1063227014608182e-07, -7.0453928534188609e-07, 6.7636040014962956e-07, -6.2800737981975885e-07, 5.6193583742106257e-07, -4.8103705676313252e-07, 3.8851545506972396e-07, -2.8776703396007561e-07, 1.8226116510391271e-07, -7.5423588546388518e-08, -2.9464302018350746e-08, 1.2936293327747792e-07, -2.2154848782710707e-07, 3.0368134986422449e-07, -3.7384828413490265e-07, 4.3059751739758789e-07, -4.729498057970058e-07, 5.0039840423805187e-07, -5.128962443723753e-07, 5.1082165026042348e-07, -4.9494967963373271e-07, 4.6639273847213364e-07, -4.2655830550641233e-07, 3.7708068316953669e-07, -3.1976625904529127e-07, 2.5652939500062089e-07, -1.8933184428625641e-07, 1.2012839810133374e-07, -5.0810522567602129e-08, -1.6837005115100633e-08, 8.1179683367714212e-08, -1.4076463392001873e-07, 1.9434823415724091e-07, -2.4091340110592857e-07, 2.7968173284351888e-07, -3.10116151024456e-07, 3.319198301123677e-07, -3.4502498202221288e-07, 3.4958192907108554e-07, -3.4593644818083774e-07, 3.3461213382740551e-07, -3.1628068092662276e-07, 2.9173922239632277e-07, -2.6187922908763733e-07, 2.276603964061763e-07, -1.9008252154228966e-07, 1.5015797834782782e-07, -1.0889008146856491e-07, 6.7245727093916824e-08, -2.6141870325142175e-08, -1.3578841509434385e-08, 5.1154290315294491e-08, -8.5921896672861917e-08, 1.1731859698191176e-07, -1.4489289843757844e-07, 1.6830116798035449e-07, -1.8731053077732443e-07, 2.0179478996910222e-07, -2.1172833361473437e-07, 2.1718060034137815e-07, -2.1830715185577887e-07, 2.1533861326462206e-07, -2.0857314825522416e-07, 1.9836175902884778e-07, -1.8510025734733149e-07, 1.6921576191132603e-07, -1.5115671203515951e-07, 1.3138224307356755e-07, -1.103519698597219e-07, 8.8517356136314645e-08, -6.6313260702055565e-08, 4.4151228941521209e-08, -2.2412886518941022e-08, 1.4458684607660671e-09, 1.8441150585529406e-08, -3.6979522022762175e-08, 5.3945001932576182e-08, -6.9154272668969091e-08, 8.2470945651173105e-08, -9.3796598857678881e-08, 1.0307820857589564e-07, -1.102967827491981e-07, 1.1547260450866376e-07, -1.1865557771831986e-07, 1.1992637197113382e-07, -1.1938973947488163e-07, 1.1717246427376399e-07, -1.134177673558015e-07, 1.0828424743068027e-07, -1.0193771008640967e-07, 9.4553341497584376e-08, -8.6306270252051176e-08, 7.7373711047587501e-08, -6.7928645794239351e-08, 5.8138583961843404e-08, -4.8164290770980056e-08, 3.8155285136259876e-08, -2.8251926389912668e-08, 1.8580429334436738e-08, -9.2551342930659308e-09, 3.759855937875145e-10, 7.9714666399895162e-09, -1.5714947105335136e-08, 2.2797516261493372e-08, -2.9174528784188612e-08, 3.4815606118226462e-08, -3.9702339011890575e-08, 4.3827230246677382e-08, -4.7195407336993872e-08, 4.9818861131475239e-08, -5.1721287987714637e-08, 5.293119820920511e-08, -5.348564074145537e-08, 5.3425836498734169e-08, -5.2797912038909933e-08, 5.1651043766684501e-08, -5.0037356504745167e-08, 4.8009173058902177e-08, -4.5621615117619196e-08, 4.2926828656801586e-08, -3.9979244371643463e-08, 3.682907151383169e-08, -3.3526752930314319e-08, 3.0118841855449052e-08, -2.6650055232925463e-08, 2.3161546249504672e-08, -1.9691265307555939e-08, 1.6274038860432383e-08, -1.294036466609888e-08, 9.7183159870201097e-09, -6.6308145987847844e-09, 3.6991272540747022e-09, -9.3901416373456947e-10, -1.6351699798876351e-09, 4.0136553872138769e-09, -6.1889223633079804e-09, 8.1564528126368274e-09, -9.9140090889342225e-09, 1.1462905935219481e-08, -1.2803885568977991e-08, 1.3943479394533387e-08, -1.48861628515714e-08, 1.5639306130866984e-08, -1.6214076463947659e-08, 1.6615383023653799e-08, -1.6859896826955725e-08, 1.6952656893077026e-08, -1.6909682330149695e-08, 1.6740450114235278e-08, -1.6457699769829859e-08, 1.6072642414037552e-08, -1.5598906436507798e-08, 1.504450921003056e-08, -1.4425355751059021e-08, 1.3747508919442764e-08, -1.3024598550723243e-08, 1.2265357532577348e-08, -1.1477711158239257e-08, 1.0672797678620838e-08, -9.8561478189054808e-09, 9.0360559850538591e-09, -8.219993359592781e-09, 7.4118159890806945e-09, -6.61925221318721e-09, 5.8453620286127994e-09, -5.0948731232167144e-09, 4.3714777891307177e-09, -3.6778795720754376e-09, 3.0163642460515061e-09, -2.3897318898041808e-09, 1.7981265651792477e-09, -1.2440730095403252e-09, 7.2711292369020963e-10, -2.4807630168849348e-10, -1.9286837491666597e-10, 5.9681446677034566e-10, -9.6314587208490288e-10, 1.2939179979201687e-09, -1.589147641603561e-09, 1.8503674096420619e-09, -2.0791765080463431e-09, 2.2762987250332656e-09, -2.4438224100614692e-09, 2.5833815919806824e-09, -2.6956697074184688e-09, 2.7840082617719419e-09, -2.848287286583151e-09, 2.8914209282068781e-09, -2.9147563113118835e-09, 2.919565945339736e-09, -2.9079546214581808e-09, 2.8813681050496309e-09, -2.8409601463864897e-09, 2.7887583336355659e-09, -2.725916317322663e-09, 2.6532042075519402e-09, -2.5734048021870681e-09, 2.4856659482444532e-09, -2.3928176319694405e-09, 2.2955377885006123e-09, -2.1932532257365467e-09, 2.0901846755141951e-09, -1.9831687429403e-09, 1.8762687094102393e-09, -1.768604204928359e-09, 1.6607828556402388e-09, -1.5540591042761259e-09, 1.4490320408410556e-09, -1.3444830012764725e-09, 1.2440335278845333e-09, -1.144604036768318e-09, 1.0485664706308406e-09, -9.5677971155647829e-10, 8.6637412435169869e-10, -7.8206227409859108e-10, 6.998919108115384e-10, -6.2246616942904925e-10, 5.4951071910011931e-10, -4.8038690988452468e-10, 4.1566362727002773e-10, -3.5611628560307598e-10, 3.0039108521581412e-10, -2.4902692456968759e-10, 2.0428297831001467e-10, -1.6049176061478515e-10, 1.2590782217281223e-10, -9.2102904228580189e-11, 6.5186989371679698e-11, -4.2768439804203792e-11, 2.4057530710527028e-11, -1.1065520802241058e-11, 2.8563274974379696e-12, 2.17908746090029e-12}; +}; + +struct case_zeta_5_100Hz_1000Hz_z50 +{ + static constexpr int order = 5; + static constexpr double cutoff_hz = 100.0; + static constexpr double sample_rate_hz = 1000.0; + + static constexpr double b[6] = {0, 0.00058908575784990841, 0.010916302424164378, 0.020040862308263005, 0.005823717342040644, 0.00016765942852742038}; + static constexpr double a[6] = {1, -3.033139122665653, 3.9625740593237464, -2.7360955893484946, 0.99603408193189513, -0.15183580198064861}; + static constexpr double step[256] = {0, 0.00058908575784990841, 0.01329216724075399, 0.069528947030449872, 0.1972015350715198, 0.39594560712934973, 0.63415788937526207, 0.86439021602991017, 1.0439383695779116, 1.1494212285135887, 1.1807391262765421, 1.1558578465034741, 1.1010225888972638, 1.0411796148073944, 0.99370113929636084, 0.96632780880272584, 0.9585414835389483, 0.96476736409845221, 0.9778130414781312, 0.9914635906087268, 1.0018069405375996, 1.0073992361562545, 1.0086757362121963, 1.0070724357570491, 1.0042225448135036, 1.0014246258622368, 0.9994219421790338, 0.99842767127143395, 0.99828746809237678, 0.99867665761575397, 0.99926218575666281, 0.99979862108643935, 1.000159046412223, 1.0003197289184129, 1.0003225145268928, 1.0002350017419519, 1.0001206219868188, 1.000022770075085, 0.99996138931529854, 0.99993759310647556, 0.99994154807740143, 0.99995999156533344, 0.99998143256816707, 0.99999858564247424, 1.0000085624852924, 1.0000117481071733, 1.0000102534261499, 1.0000065646489045, 1.0000026821998711, 0.9999997755086496, 0.9999982231991571, 0.99999785725782653, 0.99999825242626361, 0.99999895949833784, 0.99999964182501833, 1.0000001196038064, 1.0000003504558928, 1.0000003800724095, 1.0000002901215974, 1.0000001592816656, 1.0000000425037054, 0.999999966201357, 0.99999993360739614, 0.99999993424670119, 0.99999995301990863, 0.99999997651683659, 0.9999999960245316, 1.0000000078653568, 1.0000000121676966, 1.0000000111187677, 1.0000000074238549, 1.0000000033128438, 1.0000000001275549, 0.99999999834469966, 0.99999999783187032, 0.9999999981595149, 0.99999999885582636, 0.99999999955851449, 1.0000000000672395, 1.0000000003267839, 1.0000000003769771, 1.0000000002985003, 1.0000000001716991, 1.0000000000541243, 0.99999999997465672, 0.99999999993836619, 0.99999999993587441, 0.99999999995254552, 0.999999999974992, 0.99999999999427702, 1.00000000000641, 1.0000000000112257, 1.0000000000106941, 1.0000000000073954, 1.0000000000035159, 1.0000000000004112, 0.99999999999860245, 0.99999999999800915, 0.99999999999824585, 0.9999999999988689, 0.99999999999952793, 1.0000000000000213, 1.0000000000002851, 1.0000000000003495, 1.0000000000002873, 1.0000000000001736, 1.0000000000000635, 0.99999999999998579, 0.99999999999994715, 0.99999999999994005, 0.99999999999995204, 0.99999999999997069, 0.99999999999998757, 0.99999999999999956, 1.0000000000000067, 1.0000000000000093, 1.0000000000000089, 1.0000000000000067, 1.0000000000000036, 1.0000000000000009, 0.99999999999999911, 0.99999999999999822, 0.99999999999999822, 0.99999999999999911, 1.0000000000000009, 1.0000000000000027, 1.0000000000000036, 1.0000000000000027, 1, 0.99999999999999645, 0.99999999999999334, 0.99999999999999245, 0.99999999999999378, 0.99999999999999645, 0.99999999999999911, 1.0000000000000009, 1.0000000000000018, 1.0000000000000022, 1.0000000000000022, 1.0000000000000013, 0.99999999999999956, 0.99999999999999778, 0.99999999999999689, 0.99999999999999689, 0.99999999999999778, 0.99999999999999956, 1.0000000000000022, 1.0000000000000049, 1.0000000000000062, 1.0000000000000053, 1.0000000000000027, 0.99999999999999911, 0.99999999999999556, 0.99999999999999289, 0.99999999999999201, 0.99999999999999289, 0.99999999999999423, 0.99999999999999512, 0.999999999999996, 0.99999999999999778, 1.0000000000000004, 1.0000000000000031, 1.0000000000000049, 1.0000000000000049, 1.0000000000000031, 1.0000000000000004, 0.99999999999999778, 0.999999999999996, 0.999999999999996, 0.99999999999999778, 1.0000000000000004, 1.0000000000000031, 1.0000000000000049, 1.0000000000000049, 1.0000000000000031, 1.0000000000000004, 0.99999999999999778, 0.999999999999996, 0.999999999999996, 0.99999999999999778, 1.0000000000000004, 1.0000000000000031, 1.0000000000000049, 1.0000000000000049, 1.0000000000000031, 1.0000000000000004, 0.99999999999999778, 0.999999999999996, 0.999999999999996, 0.99999999999999778, 1.0000000000000004, 1.0000000000000031, 1.0000000000000049, 1.0000000000000049, 1.0000000000000031, 1.0000000000000004, 0.99999999999999778, 0.999999999999996, 0.999999999999996, 0.99999999999999778, 1.0000000000000004, 1.0000000000000031, 1.0000000000000049, 1.0000000000000049, 1.0000000000000031, 1.0000000000000004, 0.99999999999999778, 0.999999999999996, 0.999999999999996, 0.99999999999999778, 1.0000000000000004, 1.0000000000000031, 1.0000000000000049, 1.0000000000000049, 1.0000000000000031, 1.0000000000000004, 0.99999999999999778, 0.999999999999996, 0.999999999999996, 0.99999999999999778, 1.0000000000000004, 1.0000000000000031, 1.0000000000000049, 1.0000000000000049, 1.0000000000000031, 1.0000000000000004, 0.99999999999999778, 0.999999999999996, 0.999999999999996, 0.99999999999999778, 1.0000000000000004, 1.0000000000000031, 1.0000000000000049, 1.0000000000000049, 1.0000000000000031, 1.0000000000000004, 0.99999999999999778, 0.999999999999996, 0.999999999999996, 0.99999999999999778, 1.0000000000000004, 1.0000000000000031, 1.0000000000000049, 1.0000000000000049, 1.0000000000000031, 1.0000000000000004, 0.99999999999999778, 0.999999999999996, 0.999999999999996, 0.99999999999999778, 1.0000000000000004, 1.0000000000000031, 1.0000000000000049, 1.0000000000000049, 1.0000000000000031, 1.0000000000000004}; + static constexpr double impulse[256] = {0, 0.00058908575784990841, 0.012703081482904081, 0.056236779789695872, 0.1276725880410699, 0.19874407205782996, 0.23821228224591251, 0.23023232665464866, 0.1795481535480028, 0.10548285893567899, 0.031317897762954905, -0.024881279773067644, -0.054835257606211302, -0.059842974089871326, -0.047478475511035234, -0.02737333049363587, -0.0077863252637778435, 0.006225880559503242, 0.01304567737967743, 0.013650549130593419, 0.010343349928871044, 0.0055922956186544616, 0.0012765000559428336, -0.0016033004551454953, -0.0028498909435439555, -0.0027979189512655524, -0.0020026836832020374, -0.0009942709075996467, -0.00014020317905781956, 0.00038918952337622627, 0.00058552814090821791, 0.00053643532977652405, 0.00036042532578396702, 0.00016068250618999757, 2.7856084797317103e-06, -8.7512784941057978e-05, -0.00011437975513231671, -9.7851911732012623e-05, -6.1380759784817864e-05, -2.3796208822461846e-05, 3.9549709248194352e-06, 1.8443487929524075e-05, 2.1441002830411964e-05, 1.7153074304355871e-05, 9.9768428162009181e-06, 3.185621880584857e-06, -1.4946810222803199e-06, -3.688777243397194e-06, -3.8824490306729868e-06, -2.9066912189019374e-06, -1.5523094908632298e-06, -3.6594133007701982e-07, 3.951684368787466e-07, 7.070720739397642e-07, 6.8232668006178959e-07, 4.7777878693852036e-07, 2.3085208453861049e-07, 2.9616514261743746e-08, -8.9950814970688491e-08, -1.3083993358130251e-07, -1.1677796009243748e-07, -7.6302346986046937e-08, -3.2593959010845321e-08, 6.3930604683604648e-10, 1.8773207627729449e-08, 2.3496928372647353e-08, 1.9507695600862796e-08, 1.1840825947373185e-08, 4.302340886057327e-09, -1.0489278315740598e-09, -3.6949114982773307e-09, -4.1110100779547494e-09, -3.1852887108306888e-09, -1.7828557181901339e-09, -5.1283057049600772e-10, 3.2764325946141419e-10, 6.9631064168450576e-10, 7.0268709868607683e-10, 5.0872391982262266e-10, 2.595433362140265e-10, 5.0192756792618445e-11, -7.8476218344501129e-11, -1.2679972989880792e-10, -1.1757271819071245e-10, -7.9465251586035405e-11, -3.6288696424604328e-11, -2.4905629426417885e-12, 1.6671594572212062e-11, 2.2445314564707949e-11, 1.9282023488612106e-11, 1.2129677186035688e-11, 4.8134454972080224e-12, -5.3238824601336196e-13, -3.2980358573310081e-12, -3.8775971191233684e-12, -3.101881824140153e-12, -1.8057845254868283e-12, -5.9111509379996345e-13, 2.3703438999838106e-13, 6.2131848961818141e-13, 6.5557791017040345e-13, 4.8957526489010012e-13, 2.6131388238731543e-13, 6.3482859024340632e-14, -6.2038096178659169e-14, -1.1283939771113372e-13, -1.0867435055778375e-13, -7.5786403699015197e-14, -3.6548892989561966e-14, -4.9197692877524801e-15, 1.3656802203690575e-14, 1.9901850167316745e-14, 1.7684884851043262e-14, 1.149530459736997e-14, 4.8929190505955348e-15, -7.1885711151389482e-17, -2.7472759256602268e-15, -3.4250398901346421e-15, -2.8271396898239985e-15, -1.7054224141874082e-15, -6.1580395507666105e-16, 1.4904073392915329e-16, 5.2191512044559429e-16, 5.7695556560092468e-16, 4.4406642242502566e-16, 2.4674500238081202e-16, 7.0155883740634635e-17, -4.5366616488332115e-17, -9.5186012012053073e-17, -9.5331885774805123e-17, -6.8513575581520921e-17, -3.4650705490482627e-17, -6.5272098434863494e-18, 1.0549522071987045e-17, 1.6822141090473735e-17, 1.5472031640806425e-17, 1.0374451187044927e-17, 4.6863209146849828e-18, 2.8405897199733595e-19, -2.1792807217710117e-18, -2.8975429764720671e-18, -2.4683994388740274e-18, -1.539371767828701e-18, -6.0209951186555839e-19, 7.5004954520000844e-20, 4.201552718086864e-19, 4.8825022376231696e-19, 3.8723508724599717e-19, 2.2326745442043761e-19, 7.1552289971390125e-20, -3.0692809621052225e-20, -7.7311192811859526e-20, -8.0685011288839223e-20, -5.9724524703794329e-20, -3.1527989627918672e-20, -7.3835144250994942e-21, 7.7511729407706534e-21, 1.3741303994071398e-20, 1.3097319761912714e-20, 9.0501627410926021e-21, 4.3073101332245022e-21, 5.283480523524794e-22, -1.6623268452391428e-21, -2.3761031053381369e-21, -2.0904362538368923e-21, -1.3456333855821115e-21, -5.6327367738073072e-22, 1.833005089925634e-23, 3.2719791996032007e-22, 4.0152565214390931e-22, 3.2821440164459168e-22, 1.959071286005393e-22, 6.9135146316222806e-23, -1.882688780741496e-23, -6.0983837670883275e-23, -6.6504637825852995e-23, -5.0692256332196724e-23, -2.7835310197917479e-23, -7.6362094706570983e-24, 5.4202894450011846e-24, 1.0932898048298632e-23, 1.0817321637480005e-23, 7.6979815474035134e-24, 3.8398220034684466e-24, 6.7357329922846176e-25, -1.224539861768255e-24, -1.9021590741827103e-24, -1.7299866635887128e-24, -1.1481816510738911e-24, -5.0992748371046332e-25, -2.1648779331399791e-26, 2.4773673796384994e-25, 3.2294868860318843e-25, 2.7221007225456318e-25, 1.6791199345496107e-25, 6.4225053853200246e-26, -9.8200022197473331e-27, -4.6954036861933619e-26, -5.3694587159417586e-26, -4.214805966311968e-26, -2.4010164210125374e-26, -7.4480905479357741e-27, 3.5821738680690048e-27, 8.5128809137143542e-27, 8.7627926282960828e-27, 6.4199676791247277e-27, 3.3426422367727909e-27, 7.397225316954199e-28, -8.7162082560493573e-28, -1.4931648276639913e-27, -1.4057676762349797e-27, -9.6120670827991268e-28, -4.4997643104241023e-28, -4.7403276772919556e-29, 1.8280740236697357e-28, 2.5508952932229936e-28, 2.218805341625123e-28, 1.4125465132651739e-28, 5.7896378591144909e-29, -3.3590518580638827e-30, -3.5389781951969106e-29, -4.26266524261129e-29, -3.4467875216712581e-29, -2.0327946753461793e-29, -6.9671734158791206e-30, 2.1953495582972625e-30, 6.5064623158651712e-30, 6.9867880421771808e-30, 5.2692796842343129e-30, 2.8545868043381949e-30, 7.47642314533272e-31, -5.9772065336653787e-31, -1.1526731616874133e-30, -1.1252853076415759e-30, -7.9226371433549223e-31, -3.8897463902455203e-31, -6.1952360173046172e-32, 1.3152689693882111e-31, 1.9842146213335204e-31, 1.7828525127018309e-31, 1.1702078047620922e-31, 5.0960024625881444e-32, 1.0067779213111824e-33, -2.6149837558681368e-32, -3.3360630353756029e-32, -2.7802101778711094e-32, -1.6947358275884806e-32, -6.31468729968787e-33, 1.19047240034081e-33, 4.8901951252476429e-33, 5.4965110523087963e-33, 4.2675966783570779e-33, 2.3993769507174826e-33, 7.1591117255453263e-34, -3.9190386998379932e-34, -8.7672988533422082e-34}; + static constexpr double chirp_in[4096] = {1, 0.99999992642979929, 0.99999882287700514, 0.99999404081958787, 0.9999811660875062, 0.99995401897637071, 0.99990465453387189, 0.99982336314626385, 0.99969867158853654, 0.99951734473821929, 0.99926438818900221, 0.998923052036508, 0.99847483614453059, 0.99789949723582638, 0.99717505818699503, 0.99627781994202647, 0.99518237649358454, 0.9938616334148932, 0.99228683045801158, 0.99042756876612315, 0.98825184327798898, 0.98572608093165093, 0.98281518530153245, 0.97948258832792745, 0.9756903098201305, 0.97139902543374301, 0.96656814383854717, 0.96115589380530031, 0.95511942194735522, 0.94841490185561306, 0.94099765536237645, 0.93282228666059408, 0.92384282998911005, 0.91401291157120323, 0.90328592646221384, 0.89161523092170281, 0.87895435087564089, 0.86525720697385833, 0.85047835667664762, 0.83457325372130264, 0.81749852522376165, 0.79921226656174948, 0.77967435406322239, 0.75884677538693723, 0.73669397733007314, 0.7131832306305963, 0.68828501114913054, 0.66197339661628929, 0.6342264779166199, 0.60502678364962148, 0.57436171646195799, 0.54222399938345511, 0.50861213012343165, 0.4735308409942906, 0.43699156182725674, 0.39901288293222104, 0.35962101483159181, 0.31885024116901001, 0.27674336086026408, 0.2333521152185779, 0.18873759545291671, 0.14297062560971868, 0.096132115709591626, 0.048313379525507044, -0.00038358883718521143, -0.049845885660697295, -0.099949521968676278, -0.15055930804420456, -0.20152880479580074, -0.25270034875965974, -0.30390515757424702, -0.35496352274746379, -0.4056850964493664, -0.45586927889726703, -0.50530571264738766, -0.55377488976053313, -0.60104887736125978, -0.64689216655377857, -0.69106264898686465, -0.73331272456861973, -0.77339054291489417, -0.81104138006864557, -0.8460091508484886, -0.87803805587175265, -0.9068743608505454, -0.93226830418043516, -0.95397612713425417, -0.97176221914417393, -0.9854013687119787, -0.99468110844139446, -0.99940414055107041, -0.99939082701909576, -0.99448172624942033, -0.98454015586016352, -0.96945475889963473, -0.94914204852736517, -0.92354890398720091, -0.89265498858333392, -0.85647505838693705, -0.81506112859245528, -0.7685044628528731, -0.71693734959881206, -0.66053462833527321, -0.59951492826162256, -0.53414158132492895, -0.46472317204376912, -0.39161368717798556, -0.3152122296164856, -0.23596226275400647, -0.15435035416899404, -0.070904390633105427, 0.013808759593039822, 0.09918615657250443, 0.18459228461860086, 0.2693631422116452, 0.35281092692297711, 0.43422930879702298, 0.51289927740590668, 0.5880955389371294, 0.65909343027171097, 0.72517630714337644, 0.78564335324217838, 0.83981774665942033, 0.88705510950404776, 0.92675215601078931, 0.9583554441811033, 0.98137012613941343, 0.99536858315359633, 0.99999882287700514, 0.99499250904629088, 0.98017248784854372, 0.95545967068985072, 0.92087913039150604, 0.87656526714078131, 0.82276590205092281, 0.7598451601445787, 0.68828501114912999, 0.60868534583648182, 0.52176247787447139, 0.42834597636238814, 0.32937375243207906, 0.22588534448833064, 0.11901337075840943, 0.0099731446764950698, -0.099949521968675376, -0.20941227153109016, -0.31703181849493733, -0.42140110777252832, -0.52110785216033795, -0.61475425146856222, -0.70097765980614957, -0.77847193249159985, -0.84600915084848771, -0.90246139255836488, -0.94682218813969621, -0.97822728137500836, -0.99597429399523896, -0.99954088350734849, -0.98860097853545059, -0.9630386791909602, -0.92295942146047771, -0.86869802495628545, -0.80082327303127221, -0.72013871347380276, -0.6276794168385581, -0.52470448779900736, -0.41268519236054085, -0.29328863974147795, -0.16835704134703858, -0.039882659401103367, 0.09002134692995295, 0.21915387133951877, 0.34526219919889106, 0.46608122869670787, 0.57937497068616284, 0.68297963205683976, 0.7748475038260193, 0.85309080213204103, 0.91602455057213206, 0.96220754845479073, 0.99048044398756308, 0.99999992642979929, 0.99026806874157036, 0.96115589380530075, 0.91292030397297208, 0.84621360604462514, 0.7620849817471087, 0.66197339661628984, 0.54769160642970061, 0.42140110777252909, 0.2855780849582823, 0.14297062560971963, -0.0034522927617008812, -0.15055930804420603, -0.29512169978712482, -0.43388373911755923, -0.56363695259073099, -0.68129669877065169, -0.78397929272312616, -0.8690777846452038, -0.9343344109714895, -0.97790769530701704, -0.99843218742645046, -0.9950688952752843, -0.96754459005089155, -0.9161783491799238, -0.84189394582437793, -0.74621699410734765, -0.63125611230023981, -0.49966776553729064, -0.35460488704253801, -0.19964984230321187, -0.038732782291660182, 0.1239630836160234, 0.28410729153688535, 0.43733655464327453, 0.57937497068616117, 0.70615681024133081, 0.81394842128514178, 0.89946560517441376, 0.95998273974085324, 0.99342995728005579, 0.99847483614453048, 0.97458533851213081, 0.92207112396763224, 0.84210088492281143, 0.73669397733007302, 0.60868534583648282, 0.46166354924637748, 0.29988255844234957, 0.12814889944360713, -0.048313379525509959, -0.2240165573282355, -0.39337772332802823, -0.55089698145210475, -0.69133985418658528, -0.80991791317645134, -0.90246139255836466, -0.96557747552099782, -0.99678810088010106, -0.99464152469519274, -0.95879249417982837, -0.89004674065898659, -0.79036655916348131, -0.66283548908721601, -0.51158150864681218, -0.34165966256345809, -0.15889660674110515, 0.030298881123715433, 0.21915387133951658, 0.40077079795557791, 0.56838039236265869, 0.71559896074412133, 0.83668028795140859, 0.92675215601078997, 0.98202755565343003, 0.9999811660875062, 0.97948258832792812, 0.92087913039150737, 0.82602263024340583, 0.6982368180860713, 0.54222399938345556, 0.36391230372523414, 0.17024729818871898, -0.031065697601372073, -0.23185984575257096, -0.42383465395227493, -0.59890073081561812, -0.74952733250515868, -0.86907778464520447, -0.95211766591071434, -0.99468110844139468, -0.99448172624941999, -0.95105651629515231, -0.86583354565218051, -0.74211726695732327, -0.58498878606033655, -0.4011222042584015, -0.19852211184659407, 0.013808759593047724, 0.22625900242972455, 0.42903908336572988, 0.61263423194927435, 0.76825896913416514, 0.88829153315462384, 0.96666642869321839, 0.99920437022617881, 0.98386102377908657, 0.92087913039150748, 0.81283271986127859, 0.66455703958209811, 0.48296332366677897, 0.27674336086027079, 0.055974700631925785, -0.16835704134703514, -0.38489726725106244, -0.58249718413303753, -0.75079558121367618, -0.8807772378003631, -0.96527750388896616, -0.99940414055107052, -0.98085070531978158, -0.91008053699473446, -0.79036655916348153, -0.62767941683856299, -0.43042453941683434, -0.20903717243428122, 0.024547220293044292, 0.25752199792776376, 0.47690591218475858, 0.6702700665282546, 0.82645479681547807, 0.93623487063973665, 0.99289265158964735, 0.99266256453924517, 0.93501624268541406, 0.82276590205092304, 0.66197339661628929, 0.46166354924637809, 0.23335211521857976, -0.0095895741826257964, -0.2527003487596628, -0.48128300660049478, -0.68129669877065224, -0.84023397604037153, -0.9479273461671317, -0.99723238944639814, -0.98454015586016264, -0.91008053699473168, -0.77799016180242753, -0.59613248546922271, -0.37567331729755787, -0.13043111482230935, 0.12396308361602595, 0.37104727229943907, 0.59459149924435239, 0.77967435406322239, 0.91370141006883898, 0.98729522857459673, 0.99499250904629022, 0.93569463493371918, 0.81283271986127059, 0.63422647791661613, 0.41163671634210847, 0.16003264759379121, -0.1033839317883601, -0.36033676125160785, -0.59273942915648381, -0.78397929272312317, -0.9201297299918394, -0.99100117924590703, -0.99094976176793526, -0.91937694488673249, -0.78087390759575936, -0.58498878606034577, -0.34562217432566072, -0.080084217820004439, 0.19212671735369832, 0.45074058099674741, 0.67622628148098096, 0.8512844415843499, 0.9622075484547904, 0.99999882287700514, 0.96115589380530075, 0.84804809615642662, 0.66884549507132596, 0.43699156182726329, 0.17024729818871992, -0.110630256376269, -0.3834806669755868, -0.62648422584859709, -0.81992136714207986, -0.94780510850409849, -0.99924960424107578, -0.96945475889963539, -0.86021435641350186, -0.67989149721536402, -0.44284765362705225, -0.16835704134703849, 0.12091746343008787, 0.40077079795558007, 0.64747701163478444, 0.83981774665941822, 0.96094386528026088, 0.99990465453387189, 0.95270229095965364, 0.82276590205091937, 0.62078697520272341, 0.36391230372523531, 0.074347571843515148, -0.22252093395631911, -0.50033216089251542, -0.73409463523198404, -0.90246139255836555, -0.98972693214480445, -0.98735610690369835, -0.89489156836093631, -0.72013871347379788, -0.47859081942819004, -0.19212671735370601, 0.11291736677555103, 0.40813786714038369, 0.66570278481121115, 0.8609957613666358, 0.97501319700248934, 0.99627781994202547, 0.92207112396763291, 0.75884677538694123, 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-0.0034522927602768901, 0.0015343547837478589, -0.00038358883724551112, -4.1594761818964385e-13}; + static constexpr double chirp[4096] = {0, 0.00058908575784990841, 0.013292167197414832, 0.069528945402455217, 0.19720151247061099, 0.39594544474410132, 0.63415712300667404, 0.86438750430844669, 1.043930582248207, 1.149402127835113, 1.1806976916297995, 1.1557763493356763, 1.1008745460631519, 1.0409277338301888, 0.99329533164743122, 0.96570330349321587, 0.95761703683206978, 0.96344353933249272, 0.9759705266155978, 0.98896152639089385, 0.99848124335857047, 1.003060911759559, 1.0031091896176931, 1.0000337880921366, 0.99543796925981587, 0.99058871397071524, 0.9861961097947779, 0.98243861140482447, 0.97912565693873721, 0.97589491974506959, 0.97237432511446786, 0.96827812555868953, 0.96343787499738776, 0.95778719178939631, 0.95132425733550641, 0.94407210639731864, 0.93604883686387497, 0.92725188323969443, 0.91765475894156479, 0.90721184984194303, 0.89586648469180041, 0.88355865578861503, 0.87023043956326784, 0.85582866704352412, 0.84030536934021549, 0.82361692537579878, 0.80572280388562456, 0.7865845201344458, 0.7661651000486881, 0.74442907786587265, 0.72134289647351424, 0.69687552846697198, 0.67099915843147417, 0.64368982417943821, 0.6149279750723694, 0.5846989505886534, 0.55299340596749147, 0.51980771676504545, 0.48514438728277187, 0.44901247620138629, 0.41142804168244107, 0.3724146004709265, 0.33200359174696326, 0.29023483584956999, 0.2471569792031181, 0.20282791856487162, 0.15731519922458623, 0.1106963826322097, 0.063059379083450787, 0.014502740743346851, -0.034864090311683325, -0.084920584983034231, -0.13553498744047288, -0.18656423963574967, -0.23785397704433472, -0.28923860268682156, -0.34054144642829987, -0.39157501642888171, -0.4421413494342385, -0.49203246635008296, -0.54103093922819989, -0.5889105753889482, -0.63543722390121415, -0.68036970902317506, -0.72346089446682116, -0.76445888147994423, -0.80310834273757026, -0.83915199289857434, -0.87233219541167417, 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0.00016548506201241955, -0.0001842839710791845, 0.00020212079260728788, -0.00021895431361443162, 0.00023475096091663862, -0.00024948452319768013, 0.00026313581258535334, -0.00027569232358872896, 0.00028714785969310259, -0.00029750214426239245, 0.00030676042767841319, -0.00031493307823292056, 0.00032203517404173873, -0.00032808609770135395, 0.00033310912542994914, -0.00033713103310536996, 0.0003401817015189233, -0.00034229373817251869, 0.00034350210876635679, -0.00034384378507174322, 0.00034335740483784204, -0.00034208295442791188, 0.00034006146085943916, -0.00033733471067951741, 0.000333944980126975, -0.00032993478851259684, 0.00032534666981516287, -0.00032022296012544215, 0.00031460560937680588, -0.00030853600450952913, 0.00030205481630930439, -0.00029520186020233409, 0.00028801597390323413, -0.00028053491272783042, 0.00027279525873566662, -0.00026483234294215552, 0.00025668018656537319, -0.00024837144631914321, 0.0002399373813055567, -0.00023140782343452292, 0.00022281116216898468, -0.00021417433769466848, 0.00020552284275641671, -0.00019688073155636223, 0.00018827063783546049, -0.00017971379707075523, 0.00017123007446387639, -0.00016283800187538608, 0.00015455481057239658, -0.00014639647852208876, 0.00013837777192512901, -0.00013051229142889894, 0.00012281252810634387, -0.00011528990430429654, 0.00010795483682390965, -0.00010081678151042627, 9.3884291341509102e-05, -8.7165068030356979e-05, 8.0666017137356275e-05, -7.4393296256636265e-05, 6.8352375161513548e-05, -6.25480766166071e-05, 5.6984634573704817e-05, -5.1665739498962365e-05, 4.6594581294602739e-05, -4.1773904158559812e-05, 3.7206038056667703e-05, -3.2892950558585725e-05, 2.8836280105676954e-05, -2.5037376099758017e-05, 2.1497333006611829e-05, -1.8217026093591997e-05, 1.5197138705153148e-05, -1.2438193372604376e-05, 9.9405819656417586e-06, -7.7045774108147346e-06, 5.7303770850790036e-06, -4.0180966135488037e-06, 2.5678114303165311e-06, -1.3795548564041525e-06, 4.5333917893922051e-07, 2.1083582836234456e-07}; +}; + +struct case_mz_zeta_5_100Hz_1000Hz_z50 +{ + static constexpr int order = 5; + static constexpr double cutoff_hz = 100.0; + static constexpr double sample_rate_hz = 1000.0; + + static constexpr double b[6] = {0, 0.0023461017038028313, 0.0093844068152113252, 0.014076610222816987, 0.0093844068152113252, 0.0023461017038028313}; + static constexpr double a[6] = {1, -3.0331391226656543, 3.9625740593237504, -2.7360955893484986, 0.99603408193189713, -0.15183580198064905}; + static constexpr double step[256] = {0, 0.0023461017038028313, 0.018846561382571073, 0.073674759647002805, 0.19039558467726456, 0.37232142874070462, 0.59554930381507998, 0.81898981552282257, 1.0019924492680923, 1.1189561851521326, 1.1651968625166078, 1.1540261219143955, 1.1085849738172162, 1.0528259344327053, 1.0049027032315641, 0.97431030263706775, 0.96242140047684066, 0.9651011281390306, 0.97590299103909983, 0.98871336331323401, 0.99929454402036988, 1.0057073566850367, 1.0079278555564746, 1.0070833564348938, 1.0046749068670926, 1.0020108538221364, 0.99992544176446418, 0.99874515724863488, 0.99841035869718098, 0.99865374494182324, 0.99916190493323354, 0.99968171141629003, 1.0000649245485933, 1.0002646105167545, 1.0003048257225089, 1.0002434532667337, 1.0001415381295078, 1.0000449323311975, 0.99997810264191223, 0.99994659213535975, 0.99994370369375296, 0.99995770124731631, 0.99997728410978792, 0.99999455066009657, 1.0000057151743311, 1.0000103586892686, 1.0000100659650717, 1.0000071003052211, 1.0000034715321804, 1.0000004857579468, 0.99999869105748018, 0.99999805961516841, 0.99999825072087345, 0.99999884499118996, 0.99999949677410915, 0.9999999982039961, 1.0000002761295619, 1.0000003526069752, 1.0000002962665824, 1.000000182284559, 1.0000000683753902, 0.99999998640748389, 0.99999994502418665, 0.99999993761590511, 0.99999995100877237, 0.99999997210574765, 0.9999999915293255, 1.0000000045850124, 1.000000010476108, 1.0000000107754698, 1.0000000079179112, 1.0000000041281814, 1.0000000008903625, 0.99999999886444291, 0.99999999807226103, 0.99999999817915775, 0.99999999874892109, 0.99999999941228956, 0.99999999994056166, 1.0000000002464104, 1.0000000003445422, 1.0000000003014162, 1.0000000001931326, 1.0000000000796554, 0.99999999999524458, 0.9999999999504573, 0.99999999993991684, 0.99999999995104927, 0.99999999997088584, 0.99999999998989419, 1.0000000000031029, 1.0000000000094311, 1.000000000010226, 1.00000000000778, 1.0000000000042557, 1.000000000001136, 0.99999999999911526, 0.99999999999826217, 0.99999999999828482, 0.99999999999877731, 0.99999999999938616, 0.99999999999988665, 1.0000000000001874, 1.0000000000002949, 1.0000000000002673, 1.000000000000175, 1.0000000000000742, 0.99999999999999767, 0.99999999999995548, 0.99999999999994305, 0.99999999999994971, 0.99999999999996436, 0.99999999999997902, 0.99999999999998967, 0.999999999999995, 0.99999999999999589, 0.99999999999999412, 0.99999999999999145, 0.99999999999998967, 0.99999999999998923, 0.99999999999998923, 0.99999999999998834, 0.99999999999998657, 0.99999999999998479, 0.9999999999999839, 0.99999999999998435, 0.99999999999998612, 0.99999999999998879, 0.99999999999999145, 0.99999999999999278, 0.99999999999999234, 0.99999999999999012, 0.99999999999998701, 0.99999999999998435, 0.99999999999998301, 0.99999999999998346, 0.99999999999998568, 0.99999999999998879, 0.99999999999999145, 0.99999999999999278, 0.99999999999999234, 0.99999999999999012, 0.99999999999998701, 0.99999999999998435, 0.99999999999998301, 0.99999999999998346, 0.99999999999998568, 0.99999999999998879, 0.99999999999999145, 0.99999999999999278, 0.99999999999999234, 0.99999999999999012, 0.99999999999998701, 0.99999999999998435, 0.99999999999998301, 0.99999999999998346, 0.99999999999998568, 0.99999999999998879, 0.99999999999999145, 0.99999999999999278, 0.99999999999999234, 0.99999999999999012, 0.99999999999998701, 0.99999999999998435, 0.99999999999998301, 0.99999999999998346, 0.99999999999998568, 0.99999999999998879, 0.99999999999999145, 0.99999999999999278, 0.99999999999999234, 0.99999999999999012, 0.99999999999998701, 0.99999999999998435, 0.99999999999998301, 0.99999999999998346, 0.99999999999998568, 0.99999999999998879, 0.99999999999999145, 0.99999999999999278, 0.99999999999999234, 0.99999999999999012, 0.99999999999998701, 0.99999999999998435, 0.99999999999998301, 0.99999999999998346, 0.99999999999998568, 0.99999999999998879, 0.99999999999999145, 0.99999999999999278, 0.99999999999999234, 0.99999999999999012, 0.99999999999998701, 0.99999999999998435, 0.99999999999998301, 0.99999999999998346, 0.99999999999998568, 0.99999999999998879, 0.99999999999999145, 0.99999999999999278, 0.99999999999999234, 0.99999999999999012, 0.99999999999998701, 0.99999999999998435, 0.99999999999998301, 0.99999999999998346, 0.99999999999998568, 0.99999999999998879, 0.99999999999999145, 0.99999999999999278, 0.99999999999999234, 0.99999999999999012, 0.99999999999998701, 0.99999999999998435, 0.99999999999998301, 0.99999999999998346, 0.99999999999998568, 0.99999999999998879, 0.99999999999999145, 0.99999999999999278, 0.99999999999999234, 0.99999999999999012, 0.99999999999998701, 0.99999999999998435, 0.99999999999998301, 0.99999999999998346, 0.99999999999998568, 0.99999999999998879, 0.99999999999999145, 0.99999999999999278, 0.99999999999999234, 0.99999999999999012, 0.99999999999998701, 0.99999999999998435, 0.99999999999998301, 0.99999999999998346, 0.99999999999998568, 0.99999999999998879, 0.99999999999999145, 0.99999999999999278, 0.99999999999999234, 0.99999999999999012, 0.99999999999998701, 0.99999999999998435, 0.99999999999998301, 0.99999999999998346, 0.99999999999998568, 0.99999999999998879, 0.99999999999999145, 0.99999999999999278, 0.99999999999999234, 0.99999999999999012, 0.99999999999998701, 0.99999999999998435, 0.99999999999998301, 0.99999999999998346}; + static constexpr double impulse[256] = {0, 0.0023461017038028313, 0.016500459678768242, 0.054828198264431742, 0.11672082503026177, 0.18192584406344009, 0.22322787507437525, 0.22344051170774237, 0.18300263374526921, 0.11696373588403969, 0.046240677364475347, -0.011170740602210544, -0.04544114809717649, -0.055759039384508352, -0.047923231201139699, -0.030592400594494862, -0.011888902160226048, 0.0026797276621903163, 0.010801862900068675, 0.012810372274132432, 0.010581180707133295, 0.0064128126646641054, 0.0022204988714354668, -0.00084449912158249523, -0.0024084495678022831, -0.0026640530449561026, -0.0020854120576707406, -0.0011802845158271858, -0.00033479855145192609, 0.0002433862446441018, 0.00050815999141206247, 0.00051980648305835855, 0.00038321313230433749, 0.00019968596816148589, 4.0215205753294197e-05, -6.137245577771629e-05, -0.00010191513722949445, -9.6605798313977357e-05, -6.682968928745599e-05, -3.1510506551778687e-05, -2.8884416036255918e-06, 1.3997553567550716e-05, 1.9582862475527493e-05, 1.7266550311193303e-05, 1.116451423514566e-05, 4.6435149368352131e-06, -2.9272419753623895e-07, -2.9656598507749535e-06, -3.6287730409417807e-06, -2.9857742345006361e-06, -1.7947004683192344e-06, -6.3144231386667656e-07, 1.9110570284429988e-07, 5.9427031481867869e-07, 6.5178291861362151e-07, 5.0142988732000891e-07, 2.7792556673668458e-07, 7.6477414640222809e-08, -5.6340390880688344e-08, -1.1398202113357232e-07, -1.1390916693455145e-07, -8.1967905640385981e-08, -4.1383297583548327e-08, -7.4082822306258426e-09, 1.3392866658681725e-08, 2.1096974755223035e-08, 1.942357728878015e-08, 1.3055686088087847e-08, 5.8910941989907237e-09, 2.9936018821945641e-10, -2.857559725099158e-09, -3.7897301312541827e-09, -3.2378186296655132e-09, -2.0259185459252859e-09, -7.9218011560375566e-10, 1.0689900329804211e-10, 5.6976612008696333e-10, 6.633713025521276e-10, 5.2827432171796923e-10, 3.0584981186449438e-10, 9.8130823152871163e-11, -4.3128580612999478e-11, -1.0828703346907382e-10, -1.134800117978835e-10, -8.4411885707350103e-11, -4.4786408184932978e-11, -1.0538104645415648e-11, 1.1135044430518772e-11, 1.9839051584188845e-11, 1.9009946262811981e-11, 1.3208777695163107e-11, 6.3263366691765628e-12, 7.9125639777899052e-13, -2.4503845128779598e-12, -3.5283096790506862e-12, -3.1227524600489637e-12, -2.0225944453715512e-12, -8.5365746197581303e-13, 2.3529798191057265e-14, 4.9468247468405263e-13, 6.1194116015942872e-13, 5.0343618564147616e-13, 3.0257611417039904e-13, 1.0803385023864615e-13, -2.8252777585801423e-14, -9.4434588239083409e-14, -1.0382506451643147e-13, -7.9677625463084689e-14, -4.4096740318913003e-14, -1.2328072305610372e-14, 8.4129926491051428e-15, 1.7313048563246719e-14, 1.7268934334255204e-14, 1.237731154173186e-14, 6.2313623026898137e-15, 1.1370372678601901e-15, -1.9496414187177583e-15, -3.0757067766284016e-15, -2.8197355957696825e-15, -1.88572372906739e-15, -8.4712677085040055e-16, -4.4716138219390235e-17, 4.0320227138810244e-16, 5.3244805939514056e-16, 4.5236931068814962e-16, 2.8134876745289076e-16, 1.0925912985338506e-16, -1.48573843137865e-17, -7.7945358581577543e-17, -9.0149311797712483e-17, -7.1329373578903447e-17, -4.1006632277255031e-17, -1.3007678816818799e-17, 5.8306243498111589e-18, 1.4389513841318347e-17, 1.4964514642923191e-17, 1.1052902637964035e-17, 5.8155473134932727e-18, 1.3386126299030511e-18, -1.4628636598454934e-18, -2.566445976071491e-18, -2.4393669859526763e-18, -1.6820375093040737e-18, -7.9741156635635455e-19, -9.3650684047971478e-20, 3.1354569680402542e-19, 4.4531466508052464e-19, 3.9087164765205689e-19, 2.5107039285605608e-19, 1.0457534362423827e-19, -4.1723899130460677e-21, -6.179716187717857e-20, -7.5504207035585221e-20, -6.1594123255854926e-20, -3.6681351127916707e-20, -1.2856532777491133e-20, 3.6512508239902149e-21, 1.1541636146789862e-20, 1.254601650323282e-20, 9.5453992228809841e-21, 5.2281718085845077e-21, 1.4190491581800561e-21, -1.0395462046110123e-21, -2.074006294514411e-21, -2.0469206272353755e-21, -1.4540869453371745e-21, -7.2316698086613182e-22, -1.2416872841125761e-22, 2.3435511201284271e-22, 3.6172977493526952e-22, 3.2830623689174931e-22, 2.1750910390962201e-22, 9.6245899220196281e-23, 3.5968283126613222e-24, -4.7426793820745285e-23, -6.1564621869376304e-23, -5.1799140810513475e-23, -3.189285860187221e-23, -1.2139405491033122e-23, 1.9492840970214581e-24, 8.9998293248367416e-24, 1.026038805486443e-23, 8.0409056624384782e-24, 4.5712815578794347e-24, 1.4078856194463805e-24, -6.9624214243797923e-25, -1.6343088474511999e-24, -1.678320287263267e-24, -1.2277119938817791e-24, -6.377297303357564e-25, -1.3935520259251712e-25, 1.6874780988257308e-25, 2.8716527438162731e-25, 2.6983729050674811e-25, 1.8422284014305758e-25, 8.5997217935646011e-26, 8.7410576870223291e-27, -3.5371368733295835e-26, -4.9148028123276312e-26, -4.2679306672499782e-26, -2.7127954283829217e-26, -1.1078354652058266e-26, 7.0214520637803852e-28, 6.8514425686272916e-27, 8.2277591033803616e-27, 6.6431499495948386e-27, 3.9112435938873398e-27, 1.3336481651791568e-27, -4.3199291045125041e-28, -1.2609732341200902e-27, -1.3509784077637316e-27, -1.0174717503591911e-27, -5.5014948239059065e-28, -1.4289848949332347e-28, 1.1683675598284515e-28, 2.2367606162775518e-28, 2.1796138347628982e-28, 1.5325015059679513e-28, 7.5069491159307778e-29, 1.1745341041283738e-29, -2.5671036064543195e-29, -3.8556335473879917e-29, -3.4589884337109285e-29, -2.2672528796767674e-29, -9.8451850301979724e-30, -1.5582952862269586e-31, 5.1038877016917482e-30, 6.4915487524658467e-30, 5.4025112336318452e-30, 3.2884100779132557e-30, 1.220545696065826e-30, -2.375473312465459e-31, -9.5504831298091895e-31, -1.071039700977081e-30, -8.3052168424343545e-31, -4.6618938125539565e-31, -1.3828809095627874e-31, 7.7257731643431704e-32, 1.7137727179783032e-31, 1.7353977518404384e-31, 1.2561510179820703e-31, 6.4300048732899349e-32, 1.3126149077911241e-32, -1.8115667987876456e-32, -2.9796971064965998e-32, -2.7651454326238123e-32, -1.8675244986155162e-32, -8.5641995788946443e-33, -7.0319794280895338e-34, 3.7236663879387272e-33, 5.0511031847254025e-33, 4.3360419234193174e-33, 2.7248121309238189e-33, 1.0874789196799347e-33, -1.0065487929641437e-34, -7.110767897137085e-34}; + static constexpr double chirp_in[4096] = {1, 0.99999992642979929, 0.99999882287700514, 0.99999404081958787, 0.9999811660875062, 0.99995401897637071, 0.99990465453387189, 0.99982336314626385, 0.99969867158853654, 0.99951734473821929, 0.99926438818900221, 0.998923052036508, 0.99847483614453059, 0.99789949723582638, 0.99717505818699503, 0.99627781994202647, 0.99518237649358454, 0.9938616334148932, 0.99228683045801158, 0.99042756876612315, 0.98825184327798898, 0.98572608093165093, 0.98281518530153245, 0.97948258832792745, 0.9756903098201305, 0.97139902543374301, 0.96656814383854717, 0.96115589380530031, 0.95511942194735522, 0.94841490185561306, 0.94099765536237645, 0.93282228666059408, 0.92384282998911005, 0.91401291157120323, 0.90328592646221384, 0.89161523092170281, 0.87895435087564089, 0.86525720697385833, 0.85047835667664762, 0.83457325372130264, 0.81749852522376165, 0.79921226656174948, 0.77967435406322239, 0.75884677538693723, 0.73669397733007314, 0.7131832306305963, 0.68828501114913054, 0.66197339661628929, 0.6342264779166199, 0.60502678364962148, 0.57436171646195799, 0.54222399938345511, 0.50861213012343165, 0.4735308409942906, 0.43699156182725674, 0.39901288293222104, 0.35962101483159181, 0.31885024116901001, 0.27674336086026408, 0.2333521152185779, 0.18873759545291671, 0.14297062560971868, 0.096132115709591626, 0.048313379525507044, -0.00038358883718521143, -0.049845885660697295, -0.099949521968676278, -0.15055930804420456, -0.20152880479580074, -0.25270034875965974, -0.30390515757424702, -0.35496352274746379, -0.4056850964493664, -0.45586927889726703, -0.50530571264738766, -0.55377488976053313, -0.60104887736125978, -0.64689216655377857, -0.69106264898686465, -0.73331272456861973, -0.77339054291489417, -0.81104138006864557, -0.8460091508484886, -0.87803805587175265, 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0.92207112396763291, 0.75884677538694123, 0.5217624778744816, 0.23335211521858765, -0.07855469695947305, -0.38348066697558636, -0.65126920047307302, -0.85508594369616242, -0.97415389500088145, -0.99593983608294245, -0.91755646763273546, -0.74621699410735365, -0.49867062121686356, -0.19964984230321028, 0.12053668025531283, 0.42903908336570928, 0.69383011851338472, 0.88705510950404576, 0.98801617809016951, 0.98546660117894946, 0.878954350875643, 0.67904717547725413, 0.40638618731229703, 0.089639308903445084, -0.23745301300756336, -0.53964301532054448, -0.78397929272311817, -0.94343906000553723, -0.9999855802751384, -0.9466986959828072, -0.78871871430905482, -0.54286844851759386, -0.23596226275400908, 0.098040999161486744, 0.42174894365151211, 0.69851136524894031, 0.89659687467502402, 0.99289265158964801, 0.97569030982012916, 0.84621360604462359, 0.6186796598453691, 0.31885024116900984, -0.018794746789845506, -0.3549635227474629, -0.65010409366874566, -0.86907778464520169, 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0.86099576136681266, -0.84023397603959249, 0.81860162390640867, -0.796205118714578, 0.77314731759783095, -0.74952733250471737, 0.72544037896198199, -0.70097765980604587, 0.67622628148050334, -0.65126920047273773, 0.62618519753795332, -0.60104887736144608, 0.57593069136480424, -0.55089698145218191, 0.52601004251397765, -0.50132820166018488, 0.47690591218530526, -0.45279386036808306, 0.4290390833651167, -0.40568509645037554, 0.3827720280763382, -0.36033676125198227, 0.33841307983513402, -0.31703181849472845, 0.29622101515464083, -0.2760060647928777, 0.25640987367073959, -0.23745301300816751, 0.2191538713382635, -0.20152880479604404, 0.18459228461925636, -0.16835704134700888, 0.15283420512977428, -0.13803344170061341, 0.12396308361540023, -0.110630256377754, 0.098040999160336914, -0.086200379880266867, 0.075112604335562244, -0.064781119288953887, 0.055208709333225685, -0.046397587328288914, 0.038349478447046295, -0.03106569760236999, 0.024547220292490568, -0.018794746789342908, 0.013808759594209193, -0.0095895741816169593, 0.0061373830151254354, -0.0034522927602768901, 0.0015343547837478589, -0.00038358883724551112, -4.1594761818964385e-13}; + static constexpr double chirp[4096] = {0, 0.0023461017038028313, 0.018846561209967898, 0.073674755671410422, 0.1903955472396292, 0.37232121309850691, 0.59554840766049544, 0.81898687436267947, 1.0019843789154101, 1.1189369359415029, 1.1651558196842915, 1.1539462436294081, 1.108440784964883, 1.052581487584032, 1.0045095874878447, 0.97370574082817896, 0.96152643897142231, 0.96381889958140265, 0.9741170208336708, 0.98628589305584491, 0.99606485438987535, 1.0014900835243823, 1.0025113023350862, 1.000227812235857, 0.99611098139365728, 0.99143784062221563, 0.98700971924508518, 0.98311863525760901, 0.9796689772303101, 0.97635603117595893, 0.9728275952219968, 0.96879044586071228, 0.96405502297372625, 0.95853193991002883, 0.95220177028179442, 0.94507799912167467, 0.93717648555981092, 0.92849724896082708, 0.91901843168993014, 0.90869893038749516, 0.89748526443710785, 0.88531897797854653, 0.87214233136718189, 0.85790149881967037, 0.84254753646695568, 0.82603590202035693, 0.80832537833428753, 0.78937705271739989, 0.76915370724978438, 0.74761970855749393, 0.72474131080425697, 0.70048721194780283, 0.67482920692459192, 0.64774282721970589, 0.61920791263867636, 0.58920910736791154, 0.55773629991144902, 0.52478503569135937, 0.49035692743135412, 0.45446007856881171, 0.41710952431610027, 0.37832768685948664, 0.33814483663674555, 0.29659955026501073, 0.25373915637393818, 0.20962016213332099, 0.16430865474449527, 0.11788067310893451, 0.070422545184346791, 0.022031186315457276, -0.027185646692316753, -0.077109151586839536, -0.12760933312772743, -0.17854491872423869, -0.22976334420317929, -0.28110081673248399, -0.33238246189393855, -0.3834225617872361, -0.43402489087244839, -0.48398315602071279, -0.53308154693515886, -0.5810954027123103, -0.62779199982396039, -0.67293146619817112, -0.71626782535592415, 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0.97924139546722788, 0.99786541815991558, 1.0072195068918151, 1.0069887553763981, 0.9969462452264255, 0.9769603482753787, 0.94700131387400444, 0.90714699639777041, 0.85758757847749223, 0.79862914808224283, 0.73069599273846952, 0.65433148203497382, 0.57019742028210418, 0.47907176486981029, 0.38184462256388241, 0.27951245570320671, 0.17317045296726935, 0.064003044964375477, -0.046727426828164081, -0.15769384850702825, -0.26751920743927293, -0.37479309448425513, -0.47808969215761465, -0.57598706959252144, -0.6670875685117178, -0.75003902839575953, -0.82355656437383606, -0.8864445788815708, -0.93761865867406702, -0.97612698322797831, -1.0011708498001579, -1.012123905311564, -1.0085496666446749, -0.99021690968168796, -0.95711251419636734, -0.90945136717317288, -0.84768295176789299, -0.7724942832998084, -0.68480889755777929, -0.58578165029539586, -0.47678914984841742, -0.35941571685868534, -0.23543484540789, -0.10678622746496205, 0.024451503821859042, 0.15609205832322703, 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0.8758940784453314, 0.95248520092583111, 1.0025133806956967, 1.024174016705506, 1.0164447947393003, 0.97914118293846575, 0.91294883184338493, 0.81943072133401385, 0.70100757733475549, 0.5609108554217429, 0.40310843729815649, 0.23220408607109824, 0.053312630245398264, -0.12808623584133899, -0.30631176820081912, -0.47565903208439808, -0.6305835287199828, -0.76588775271956966, -0.87690344946893184, -0.95966314345072867, -1.0110545264514981, -1.0289515437692633, -1.012316504157498, -0.96126826414621935, -0.87711248927161567, -0.76233115380866245, -0.62052977747916871, -0.45634237375114622, -0.2752956527722103, -0.083635628450042146, 0.11187863620883247, 0.30420791229393696, 0.48628473496362723, 0.65127566434347195, 0.79284430186310173, 0.90540495466135507, 0.98435668033347434, 1.0262876870904105, 1.0291407274814266, 0.99233120791727358, 0.91681122426081263, 0.80507459017714966, 0.66110009577610751, 0.4902326478072373, 0.29900451195360095, 0.094901502105972271, -0.11391846936110223, 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1.0047869808703427, 1.0455762316168304, 1.0264806276781242, 0.94800895763809878, 0.81413818058138321, 0.63215826665262276, 0.41231584307356922, 0.16727091421420856, -0.08860713549289069, -0.34006714518995029, -0.57188114838926629, -0.76977378281945141, -0.92131951487842112, -1.0167507447324871, -1.0496231360820678, -1.017291361221498, -0.92115861568887492, -0.7666762546259035, -0.56308503757484163, -0.32290586044481528, -0.061204488407544319, 0.20532940834073243, 0.45943476923528642, 0.68439818942594577, 0.86516746553614043, 0.98938513099408498, 1.0482699295335705, 1.0372816563788003, 0.9565170414102584, 0.81080075187899669, 0.60945522251658513, 0.36575466628121711, 0.096090856141479747, -0.18110044861184674, -0.44658479344616336, -0.68166362359083299, -0.86950624725189207, -0.99638391402052406, -1.0527141934104138, -1.0338341151371058, -0.9404372300301731, -0.77863194936434221, -0.55960483980155484, -0.29890122431089444, -0.015364425071000316, 0.27019789388915638, 0.536528720936989, 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-2.2524681269481261e-09, 2.024233140048709e-09, -1.8013512044848246e-09, 1.5837088667390586e-09, -1.3734576306129176e-09, 1.1709838329022892e-09, -9.7733944678587981e-10, 7.9290113320570899e-10, -6.1871290773021781e-10, 4.5428169906380766e-10, -3.0096484332498008e-10, 1.5783439529307164e-10, -2.5773666621070612e-11, -9.5655363838154095e-11, 2.0664817209845032e-10, -3.0686545492153439e-10, 3.9736880582882939e-10, -4.7758381884616119e-10, 5.4852035413777145e-10, -6.1028360620260513e-10, 6.6317960628267669e-10, -7.0792262655237914e-10, 7.4484522759668548e-10, -7.7409106295084351e-10, 7.9699870292847252e-10, -8.1282351162281774e-10, 8.2324005186602822e-10, -8.2789933133868565e-10, 8.2760037863581493e-10, -8.2277654784787546e-10, 8.1385863044507178e-10, -8.011125957486237e-10, 7.8526657550613554e-10, -7.66447244646834e-10, 7.4491977386861863e-10, -7.2174310690280297e-10, 6.9599228875831531e-10, -6.6939886554824579e-10, 6.4129621318159691e-10, -6.1185680090211636e-10, 5.8275222137010169e-10, -5.5175897542298485e-10, 5.2184622042431711e-10, -4.9096262493865395e-10, 4.605994237275382e-10, -4.3037007269562666e-10, 4.0083881905957769e-10, -3.7113762399714617e-10, 3.4329497231033734e-10, -3.1490689493974405e-10, 2.8830514142491256e-10, -2.6254774271533901e-10, 2.3699704281314113e-10, -2.1394649945974745e-10, 1.9048791103509766e-10, -1.6935961950881838e-10, 1.4885119227698099e-10, -1.297569044399205e-10, 1.1176806694241682e-10, -9.5456672161977826e-11, 7.9917848760154703e-11, -6.5855880766589082e-11, 5.38761865388716e-11, -4.1217128627789486e-11, 3.2920590312492982e-11, -2.2593955501556788e-11, 1.6445063813177096e-11, -9.877973125807407e-12, 5.2973360256441861e-12, -2.0288654001664598e-12, 1.8952206361928499e-13}; +}; + +struct case_tu_zeta_5_100Hz_1000Hz_z50 +{ + static constexpr int order = 5; + static constexpr double cutoff_hz = 100.0; + static constexpr double sample_rate_hz = 1000.0; + + static constexpr double b[6] = {0.001166557059370451, 0.0058327852968522546, 0.011665570593704506, 0.011665570593704443, 0.0058327852968522876, 0.0011665570593704321}; + static constexpr double a[6] = {1, -3.0736088609242613, 4.0700996659463398, -2.8460599203735546, 1.0478176408564224, -0.16091869960509209}; + static constexpr double step[256] = {0.001166557059370451, 0.010584882470677473, 0.046450698005992372, 0.13334032521448413, 0.28584317419686706, 0.49448968996748593, 0.72631351089229945, 0.93839638935252601, 1.0947176241690193, 1.1776910494163115, 1.1907425159129847, 1.1531277161447842, 1.090873058428705, 1.0279818216391654, 0.98068386536733043, 0.95561523930334702, 0.95125785967018062, 0.96116457672649824, 0.97744136446063812, 0.99340337715895655, 1.0049430514041957, 1.0106876103090106, 1.0113444284612021, 1.0087188686648949, 1.0048020804100692, 1.0011567384054774, 0.99865778228386604, 0.99752326200654218, 0.99751390729047107, 0.99817995548029059, 0.99906813564789076, 0.99984718907478887, 1.0003495623542908, 1.0005512478104668, 1.0005202021934412, 1.0003603035316193, 1.0001681739164454, 1.0000096001085164, 0.99991409686368837, 0.99988170486784056, 0.99989512782346401, 0.9999316546184136, 0.99997165386443565, 1.0000027033882362, 1.0000200167214255, 1.000024583314681, 1.0000204869785214, 1.0000124871252749, 1.0000044232329779, 0.99999854084611273, 0.99999554053691075, 0.99999503355037622, 0.9999961073666801, 0.99999779832160818, 0.99999937939308814, 1.0000004612024347, 1.0000009569544932, 1.000000978439443, 1.0000007210413899, 1.0000003742796795, 1.0000000718785993, 0.99999987846386662, 0.99999980104411024, 0.99999981157458362, 0.99999986963808829, 0.99999993890262906, 0.99999999543858187, 1.0000000290543147, 1.0000000402545848, 1.0000000355320566, 1.0000000230096184, 1.0000000094928747, 0.99999999914822424, 0.99999999347838142, 0.99999999204708678, 0.99999999343116497, 0.99999999603828926, 0.99999999862099709, 1.0000000004744967, 1.0000000013989994, 1.0000000015381054, 1.0000000011913446, 1.0000000006640282, 1.0000000001800713, 0.99999999985491717, 0.99999999971022668, 0.99999999970827536, 0.99999999978801646, 0.99999999989207899, 0.99999999998110511, 1.0000000000369009, 1.0000000000583495, 1.0000000000543474, 1.0000000000370093, 1.0000000000169134, 1.000000000000828, 0.99999999999148037, 0.99999999998854761, 0.99999999999006506, 0.99999999999368394, 0.99999999999748934, 1.0000000000003435, 1.0000000000018658, 1.0000000000022113, 1.0000000000017948, 1.0000000000010625, 1.0000000000003546, 0.99999999999985678, 0.99999999999961608, 0.99999999999958811, 0.99999999999968847, 0.99999999999983458, 0.99999999999996692, 1.0000000000000548, 1.0000000000000935, 1.0000000000000939, 1.0000000000000731, 1.0000000000000464, 1.0000000000000238, 1.0000000000000087, 1.0000000000000007, 0.99999999999999756, 0.99999999999999711, 0.99999999999999756, 0.999999999999998, 0.99999999999999845, 0.99999999999999889, 0.99999999999999933, 0.99999999999999978, 1.0000000000000002, 1.0000000000000011, 1.0000000000000029, 1.0000000000000056, 1.0000000000000087, 1.0000000000000118, 1.000000000000014, 1.0000000000000149, 1.0000000000000144, 1.0000000000000135, 1.0000000000000127, 1.0000000000000118, 1.0000000000000109, 1.0000000000000095, 1.0000000000000073, 1.0000000000000047, 1.000000000000002, 1.0000000000000007, 1.0000000000000016, 1.0000000000000047, 1.0000000000000091, 1.000000000000014, 1.000000000000018, 1.0000000000000198, 1.0000000000000193, 1.0000000000000171, 1.0000000000000135, 1.00000000000001, 1.0000000000000078, 1.0000000000000073, 1.0000000000000078, 1.0000000000000082, 1.0000000000000078, 1.0000000000000064, 1.0000000000000051, 1.0000000000000042, 1.0000000000000042, 1.0000000000000056, 1.0000000000000082, 1.0000000000000118, 1.0000000000000149, 1.0000000000000167, 1.0000000000000167, 1.0000000000000149, 1.0000000000000122, 1.00000000000001, 1.0000000000000087, 1.0000000000000082, 1.0000000000000082, 1.0000000000000078, 1.0000000000000064, 1.0000000000000047, 1.0000000000000029, 1.000000000000002, 1.0000000000000029, 1.0000000000000056, 1.0000000000000091, 1.0000000000000127, 1.0000000000000153, 1.0000000000000162, 1.0000000000000153, 1.0000000000000135, 1.0000000000000122, 1.0000000000000122, 1.0000000000000135, 1.0000000000000153, 1.0000000000000162, 1.0000000000000158, 1.0000000000000144, 1.0000000000000131, 1.0000000000000127, 1.0000000000000131, 1.000000000000014, 1.0000000000000149, 1.0000000000000153, 1.0000000000000153, 1.0000000000000149, 1.000000000000014, 1.0000000000000131, 1.0000000000000127, 1.0000000000000131, 1.0000000000000144, 1.0000000000000162, 1.0000000000000175, 1.0000000000000175, 1.0000000000000162, 1.0000000000000144, 1.0000000000000131, 1.0000000000000127, 1.0000000000000131, 1.000000000000014, 1.0000000000000149, 1.0000000000000153, 1.0000000000000153, 1.0000000000000149, 1.000000000000014, 1.0000000000000131, 1.0000000000000127, 1.0000000000000131, 1.0000000000000144, 1.0000000000000162, 1.0000000000000175, 1.0000000000000175, 1.0000000000000162, 1.0000000000000144, 1.0000000000000131, 1.0000000000000127, 1.0000000000000131, 1.000000000000014, 1.0000000000000149, 1.0000000000000153, 1.0000000000000153, 1.0000000000000149, 1.000000000000014, 1.0000000000000131, 1.0000000000000127, 1.0000000000000131, 1.0000000000000144, 1.0000000000000162, 1.0000000000000175, 1.0000000000000175, 1.0000000000000162, 1.0000000000000144, 1.0000000000000131, 1.0000000000000127, 1.0000000000000131, 1.000000000000014}; + static constexpr double impulse[256] = {0.001166557059370451, 0.0094183254113070214, 0.035865815535314885, 0.086889627208491749, 0.15250284898238289, 0.20864651577061882, 0.23182382092481357, 0.21208287846022678, 0.1563212348164934, 0.082973425247291899, 0.01305146649667277, -0.037614799768201299, -0.062254657716080873, -0.062891236789541671, -0.047297956271836611, -0.025068626063984134, -0.0043573796331660419, 0.009906717056318657, 0.016276787734141023, 0.015962012698319025, 0.011539674245238912, 0.005744558904814262, 0.00065681815219150591, -0.0026255597963072762, -0.003916788254826201, -0.0036453420045924525, -0.0024989561216118127, -0.0011345202773239875, -9.354716070269966e-06, 0.00066604818982092908, 0.0008881801676020771, 0.0007790534268999796, 0.00050237327950356176, 0.00020168545617664881, -3.1045617025974638e-05, -0.00015989866182289061, -0.00019212961517472483, -0.00015857380792929098, -9.5503244828123361e-05, -3.239199584836942e-05, 1.3422955622495559e-05, 3.6526794948479801e-05, 3.9999246021256977e-05, 3.104952380012546e-05, 1.7313333189675559e-05, 4.5665932561646494e-06, -4.0963361592875834e-06, -7.9998532467684472e-06, -8.0638922977160388e-06, -5.8823868655452706e-06, -3.0003092016740795e-06, -5.0698653376510341e-07, 1.0738163047710302e-06, 1.6909549292097189e-06, 1.5810714811486028e-06, 1.0818093471678028e-06, 4.9575205829820253e-07, 2.1484949083617674e-08, -2.5739805363529652e-07, -3.4676171023766768e-07, -3.0240107943019899e-07, -1.9341473243681044e-07, -7.7419757119235749e-08, 1.0530471432584216e-08, 5.8063502052071195e-08, 6.9264538549140602e-08, 5.6535951845732148e-08, 3.361573299700681e-08, 1.1200271181766294e-08, -4.72252641715203e-09, -1.2522436874855802e-08, -1.3516743030940018e-08, -1.0344649854790699e-08, -5.669842293770458e-09, -1.43129473612141e-09, 1.3840772372420419e-09, 2.6071232757077173e-09, 2.5827074918611748e-09, 1.8535000351304647e-09, 9.2450366112559391e-10, 1.3910719860717993e-10, -3.4676034556740804e-10, -5.273171202538613e-10, -4.8395841387320684e-10, -3.2515540544304005e-10, -1.446911212506316e-10, -1.9516931064512611e-12, 7.9741753944040526e-11, 1.040645571629296e-10, 8.9028547695631724e-11, 5.5797134997665061e-11, 2.1448591168052477e-11, -4.0034787150136196e-12, -1.7340791414242344e-11, -2.0099141330671798e-11, -1.6087699653326456e-11, -9.3483242007010557e-12, -2.9321591268289624e-12, 1.5195209860713639e-12, 3.6213500309285118e-12, 3.8074384168262791e-12, 2.8560165658739253e-12, 1.5241830474682064e-12, 3.4667322206636561e-13, -4.1640294692952597e-13, -7.3283457144905947e-13, -7.0847198761113952e-13, -4.9794453610599992e-13, -2.4052568280089712e-13, -2.80817374571608e-14, 9.9893897769006958e-14, 1.445284120854639e-13, 1.296218469223816e-13, 8.5185294047027081e-14, 3.6399494766388471e-14, -1.2879075272643721e-15, -2.2228378001544819e-14, -2.7884359213424994e-14, -2.3331487666414008e-14, -1.4276190244507344e-14, -5.1944636481388978e-15, 1.3777175238812212e-15, 4.7056862181392231e-15, 5.2766077535645729e-15, 4.132227744641948e-15, 2.3377142384315748e-15, 6.7518175808807227e-16, -4.5060732173555013e-16, -9.6048917448679303e-16, -9.8108909036375885e-16, -7.1993831310523926e-16, -3.7248447166335155e-16, -7.2982866756940291e-17, 1.1618234684899522e-16, 1.9052199078469801e-16, 1.7944699924009496e-16, 1.2330133516929755e-16, 5.7367686003615079e-17, 4.257626573391238e-18, -2.6852113122335989e-17, -3.691092182776098e-17, -3.2310882293754624e-17, -2.0732289256964296e-17, -8.4438824197899531e-18, 8.2549257094688706e-19, 5.8156017022124584e-18, 7.0074858159443585e-18, 5.7290292016798345e-18, 3.4154359008562716e-18, 1.1628658674597505e-18, -4.2853748395137201e-19, -1.2049437160662998e-18, -1.3065955331904308e-18, -1.0002298157881002e-18, -5.4952719954461889e-19, -1.4304422259905117e-19, 1.2543036458779942e-19, 2.4154357664542768e-19, 2.3963257623865954e-19, 1.7186777004192233e-19, 8.5926685922736784e-20, 1.3685211171945193e-20, -3.0743579882996638e-20, -4.7166134862260857e-20, -4.327064408909253e-20, -2.9036630981813927e-20, -1.2953186525114213e-20, -3.076014285099305e-22, 6.8851531328266781e-21, 9.0107295349402789e-21, 7.6967870267573184e-21, 4.8158041847491324e-21, 1.8564005565296101e-21, -3.2308820611115999e-22, -1.4575491288707889e-21, -1.6890351180745682e-21, -1.348807781632049e-21, -7.8217135169662319e-22, -2.4614709388429126e-22, 1.2342158312488949e-22, 2.9659359411649531e-22, 3.112497225449212e-22, 2.3281090831384143e-22, 1.2394243749165403e-22, 2.8307175103944216e-23, -3.3264588544160578e-23, -5.8565230371054158e-23, -5.6457947601536427e-23, -3.955243724131684e-23, -1.904902628991184e-23, -2.2368090565019773e-24, 7.8211457673656179e-24, 1.1287110450856095e-23, 1.0088406336293502e-23, 6.6060235815202537e-24, 2.8122271159747458e-24, -9.9544094015778399e-26, -1.7053682975515042e-24, -2.1312086608359628e-24, -1.7764598004465983e-24, -1.0826472980853935e-24, -3.9191695967503969e-25, 1.0466431044567847e-25, 3.5401374657028299e-25, 3.952377990909974e-25, 3.0825537761460585e-25, 1.7360768303199116e-25, 4.9743058415796528e-26, -3.35662986098118e-26, -7.0925279619503919e-26, -7.2111800626300652e-26, -5.2687141167645784e-26, -2.7119095879840284e-26, -5.2307692337682816e-27, 8.496136663305217e-27, 1.3823359961365971e-26, 1.2957916825261996e-26, 8.8625518826242128e-27, 4.0979853479451396e-27, 2.8596918849196073e-28, -1.9299943877599936e-27, -2.6340261777473937e-27, -2.2946022565153844e-27, -1.4650415225797442e-27, -5.9200110521363424e-28, 6.2116561918468296e-29, 4.1129021247226511e-28, 4.9230596590355407e-28, 4.0050790473257912e-28, 2.3747600946477994e-28, 7.9972132033671198e-29, -3.0541067316255931e-29, -8.3932902452840301e-29, -9.0448585879006436e-29, -6.8891884486098614e-29, -3.7619536506370862e-29, -9.6212528399832238e-30, 8.7401140683290382e-30, 1.6586957997701843e-29, 1.6358445163389875e-29, 1.1671409707513724e-29, 5.7940372602813122e-30, 8.8825924334321124e-31, -2.1061319613882685e-30, -3.1956815467079585e-30, -2.9150154751987912e-30, -1.9454175243411746e-30, -8.6037045207509572e-31, -1.3132257683594946e-32, 4.648149410154755e-31, 6.0280535991987059e-31, 5.1202684640106224e-31, 3.1849404904239844e-31, 1.2139148869116422e-31, -2.2766155895701438e-32, -9.7104675821617584e-32}; + static constexpr double chirp_in[4096] = {1, 0.99999992642979929, 0.99999882287700514, 0.99999404081958787, 0.9999811660875062, 0.99995401897637071, 0.99990465453387189, 0.99982336314626385, 0.99969867158853654, 0.99951734473821929, 0.99926438818900221, 0.998923052036508, 0.99847483614453059, 0.99789949723582638, 0.99717505818699503, 0.99627781994202647, 0.99518237649358454, 0.9938616334148932, 0.99228683045801158, 0.99042756876612315, 0.98825184327798898, 0.98572608093165093, 0.98281518530153245, 0.97948258832792745, 0.9756903098201305, 0.97139902543374301, 0.96656814383854717, 0.96115589380530031, 0.95511942194735522, 0.94841490185561306, 0.94099765536237645, 0.93282228666059408, 0.92384282998911005, 0.91401291157120323, 0.90328592646221384, 0.89161523092170281, 0.87895435087564089, 0.86525720697385833, 0.85047835667664762, 0.83457325372130264, 0.81749852522376165, 0.79921226656174948, 0.77967435406322239, 0.75884677538693723, 0.73669397733007314, 0.7131832306305963, 0.68828501114913054, 0.66197339661628929, 0.6342264779166199, 0.60502678364962148, 0.57436171646195799, 0.54222399938345511, 0.50861213012343165, 0.4735308409942906, 0.43699156182725674, 0.39901288293222104, 0.35962101483159181, 0.31885024116901001, 0.27674336086026408, 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0.33841307983513402, -0.31703181849472845, 0.29622101515464083, -0.2760060647928777, 0.25640987367073959, -0.23745301300816751, 0.2191538713382635, -0.20152880479604404, 0.18459228461925636, -0.16835704134700888, 0.15283420512977428, -0.13803344170061341, 0.12396308361540023, -0.110630256377754, 0.098040999160336914, -0.086200379880266867, 0.075112604335562244, -0.064781119288953887, 0.055208709333225685, -0.046397587328288914, 0.038349478447046295, -0.03106569760236999, 0.024547220292490568, -0.018794746789342908, 0.013808759594209193, -0.0095895741816169593, 0.0061373830151254354, -0.0034522927602768901, 0.0015343547837478589, -0.00038358883724551112, -4.1594761818964385e-13}; + static constexpr double chirp[4096] = {0.001166557059370451, 0.010584882384853635, 0.046450695939903142, 0.13334030453757753, 0.28584304748956968, 0.49448913171377268, 0.72631157845275729, 0.93839082823245668, 1.0947037900362908, 1.1776604441100404, 1.1906810023369463, 1.1530135233079375, 1.0906747007050388, 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0.35245594609236353, 0.31136225917019639, 0.26893387076536274, 0.22522394868642029, 0.18029511314711066, 0.13421982708367772, 0.087080748910507461, 0.038971044696303497, -0.010005343437233931, -0.059733476846364875, -0.11008725316712827, -0.16092929876713893, -0.21211092792048536, -0.2634721760990526, -0.31484191478971524, -0.36603805506419018, -0.41686784684112915, -0.46712828044776161, -0.51660659673203746, -0.56508091158679541, -0.61232096029950367, -0.65808896660490324, -0.70214064066801718, -0.74422630944412671, -0.78409218194138641, -0.82148175084807651, -0.85613733078130905, -0.88780173207035495, -0.91622006750928364, -0.94114168790422514, -0.96232224050481241, -0.97952584255303754, -0.9925273602136987, -1.001114781079234, -1.0050916662815486, -1.0042796660111586, -0.99852107995971751, -0.98768144188922813, -0.97165210521678913, -0.95035280421765855, -0.9237341632250764, -0.89178012407914231, -0.85451026008854092, -0.81198194296034532, -0.76429232756934518, -0.71158011812634492, 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-1.7398603304602522e-10, 1.4685963683753848e-10, -1.1986348862785302e-10, 9.4392456287536401e-11, -7.044060205464199e-11, 4.6686521754666158e-11, -2.642205790097385e-11, 5.2199119592727383e-12, 1.1945192448029052e-11, -2.9422748851030966e-11, 4.3939416883610749e-11, -5.7734746996239428e-11, 6.9026972180676049e-11, -7.9976187564861911e-11, 8.7731410461019954e-11, -9.5979394354114844e-11, 1.0100293518222614e-10, -1.0600396916585902e-10, 1.092841787116855e-10, -1.1115152570052855e-10, 1.1264860398652043e-10, -1.1252717247584032e-10, 1.1176532204067169e-10, -1.1049841510540892e-10, 1.0786511983086611e-10, -1.0536421951937158e-10, 1.0173614012863597e-10, -9.7986204870489924e-11, 9.3701812585098021e-11, -8.9230541141724351e-11, 8.4273038417417845e-11, -7.9544319265059671e-11, 7.4151988802700908e-11, -6.923331873076588e-11, 6.3859412115924163e-11, -5.871679162848531e-11, 5.3671450096770545e-11, -4.8436373401711252e-11, 4.3760856266797377e-11, -3.875486325084776e-11, 3.428378804806731e-11, -2.983884016607985e-11, 2.5540439554938565e-11, -2.1612625859986079e-11, 1.7813112096476402e-11, -1.4105414752885181e-11, 1.104958214769719e-11, -7.6003120897533138e-12, 5.0128588346270986e-12, -2.207924598360278e-12, -1.8318842536640956e-13, 2.36309062595641e-12, -4.3567665751129137e-12, 6.1946002797783062e-12, -7.6981951629279122e-12, 9.1351115040494424e-12, -1.0444543884283175e-11, 1.1230819442833995e-11, -1.249635952441791e-11, 1.2873696032811299e-11, -1.3624505007265447e-11, 1.4268991316204044e-11, -1.4074684722819447e-11, 1.5045788020421474e-11, -1.4451322354492452e-11, 1.4977767073473536e-11, -1.4696387715725651e-11, 1.4625752052608437e-11, -1.4310369675276519e-11, 1.437127007024655e-11, -1.3469039414609058e-11, 1.3758872676166573e-11, -1.2856520725411033e-11, 1.2468780158760365e-11, -1.2382460318595759e-11, 1.1116575894401862e-11, -1.1393850218779228e-11, 1.0187401337552644e-11, -9.9363960391922121e-12, 9.2412758218377022e-12, -8.6854745536555159e-12, 7.9026915762205052e-12, -7.5073877575161131e-12, 6.8032836173436903e-12, -5.777124262372306e-12, 6.1538215421054563e-12, -3.9508440532261442e-12, 5.0565522838222181e-12, -2.9111696573888048e-12, 3.1963912345124666e-12, -2.2165461325312683e-12, 1.5371021944889508e-12, -9.2141314429621972e-13, 5.4955682186853757e-13}; +}; + +struct case_tupw_zeta_5_100Hz_1000Hz_z50 +{ + static constexpr int order = 5; + static constexpr double cutoff_hz = 100.0; + static constexpr double sample_rate_hz = 1000.0; + + static constexpr double b[6] = {0.0013357324072078415, 0.0066786620360392091, 0.013357324072078411, 0.013357324072078413, 0.0066786620360391935, 0.0013357324072078472}; + static constexpr double a[6] = {1, -3.0105583111919092, 3.9295778678983346, -2.7177832681294922, 0.99325092861552977, -0.151743780161811}; + static constexpr double step[256] = {0.0013357324072078415, 0.012035694743294993, 0.052357014850922472, 0.1486879202950222, 0.31468408439385315, 0.53638070492271861, 0.7748974429325679, 0.98337120309741655, 1.1259886570952429, 1.1893582555215851, 1.1830303448846213, 1.1316940352505624, 1.0642136113279119, 1.0042913958547635, 0.96544183455783761, 0.95058442569981716, 0.95489713966842638, 0.96995753545671459, 0.98746591194618716, 1.001577880050939, 1.00965501930723, 1.0117972885825108, 1.0097553484729644, 1.0057817305074619, 1.0017838854890209, 0.99891107518699618, 0.99752595808686928, 0.99741658579403347, 0.99809045532459917, 0.99903129108728927, 0.99985829678251947, 1.0003808408230614, 1.0005752764424141, 1.0005226504716134, 1.0003416702619254, 1.0001385261275273, 0.99998126815748545, 0.99989601476779277, 0.9998769832736264, 0.99990161508321129, 0.99994422685039319, 0.99998481105967796, 1.0000124562285968, 1.0000246608803207, 1.0000244824835847, 1.0000172756251133, 1.000008149391191, 1.0000005821004645, 0.99999610507065506, 0.99999469099193117, 0.99999543145097858, 0.99999718115117486, 0.99999899439937712, 1.0000003152864443, 1.0000009718606082, 1.0000010604711644, 1.000000801559539, 1.0000004214920197, 1.0000000838077698, 0.99999986864740176, 0.99999978552029078, 0.99999980121228027, 0.9999998680814487, 0.99999994427736449, 1.0000000034662671, 1.0000000357759269, 1.000000043505924, 1.0000000351421321, 1.0000000201703003, 1.0000000058613037, 0.9999999961102034, 0.99999999177239329, 0.99999999174375132, 0.99999999414245078, 0.99999999720118671, 0.99999999973483511, 1.0000000012323487, 1.0000000017106567, 1.0000000014778376, 1.0000000009148853, 1.0000000003319622, 0.99999999990860988, 0.9999999996985699, 0.99999999966939457, 0.99999999974991283, 0.99999999986816179, 0.99999999997284383, 1.0000000000392644, 1.000000000064843, 1.0000000000601144, 1.0000000000398506, 1.0000000000168565, 0.99999999999908107, 0.99999999998942968, 0.99999999998713995, 0.99999999998962641, 0.99999999999404643, 0.9999999999982484, 1.0000000000010971, 1.000000000002357, 1.0000000000023628, 1.0000000000016687, 1.0000000000007885, 1.0000000000000624, 0.9999999999996344, 0.99999999999949718, 0.99999999999956157, 0.99999999999971922, 0.99999999999988265, 1.0000000000000007, 1.000000000000058, 1.0000000000000642, 1.0000000000000402, 1.0000000000000069, 0.99999999999997902, 0.99999999999996347, 0.99999999999995992, 0.99999999999996436, 0.99999999999997147, 0.99999999999997724, 0.99999999999998035, 0.99999999999998079, 0.99999999999997946, 0.99999999999997813, 0.99999999999997768, 0.99999999999997813, 0.99999999999997857, 0.99999999999997857, 0.99999999999997813, 0.99999999999997768, 0.99999999999997813, 0.99999999999997946, 0.99999999999998079, 0.99999999999998124, 0.99999999999998079, 0.99999999999997946, 0.99999999999997768, 0.99999999999997635, 0.99999999999997591, 0.99999999999997635, 0.99999999999997724, 0.99999999999997857, 0.9999999999999799, 0.99999999999998124, 0.99999999999998257, 0.9999999999999839, 0.99999999999998435, 0.99999999999998301, 0.9999999999999799, 0.99999999999997591, 0.9999999999999728, 0.99999999999997147, 0.9999999999999728, 0.9999999999999768, 0.99999999999998168, 0.99999999999998568, 0.99999999999998745, 0.99999999999998701, 0.99999999999998479, 0.99999999999998168, 0.99999999999997946, 0.99999999999997902, 0.99999999999998035, 0.99999999999998257, 0.99999999999998479, 0.99999999999998612, 0.99999999999998568, 0.99999999999998346, 0.99999999999998035, 0.99999999999997724, 0.99999999999997502, 0.99999999999997458, 0.99999999999997591, 0.99999999999997813, 0.9999999999999799, 0.99999999999998124, 0.99999999999998257, 0.9999999999999839, 0.99999999999998435, 0.99999999999998301, 0.9999999999999799, 0.99999999999997591, 0.9999999999999728, 0.99999999999997147, 0.9999999999999728, 0.9999999999999768, 0.99999999999998168, 0.99999999999998568, 0.99999999999998745, 0.99999999999998701, 0.99999999999998479, 0.99999999999998168, 0.99999999999997946, 0.99999999999997902, 0.99999999999998035, 0.99999999999998257, 0.99999999999998479, 0.99999999999998612, 0.99999999999998568, 0.99999999999998346, 0.99999999999998035, 0.99999999999997724, 0.99999999999997502, 0.99999999999997458, 0.99999999999997591, 0.99999999999997813, 0.9999999999999799, 0.99999999999998124, 0.99999999999998257, 0.9999999999999839, 0.99999999999998435, 0.99999999999998301, 0.9999999999999799, 0.99999999999997591, 0.9999999999999728, 0.99999999999997147, 0.9999999999999728, 0.9999999999999768, 0.99999999999998168, 0.99999999999998568, 0.99999999999998745, 0.99999999999998701, 0.99999999999998479, 0.99999999999998168, 0.99999999999997946, 0.99999999999997902, 0.99999999999998035, 0.99999999999998257, 0.99999999999998479, 0.99999999999998612, 0.99999999999998568, 0.99999999999998346, 0.99999999999998035, 0.99999999999997724, 0.99999999999997502, 0.99999999999997458, 0.99999999999997591, 0.99999999999997813, 0.9999999999999799, 0.99999999999998124, 0.99999999999998257, 0.9999999999999839, 0.99999999999998435, 0.99999999999998301, 0.9999999999999799, 0.99999999999997591, 0.9999999999999728, 0.99999999999997147, 0.9999999999999728, 0.9999999999999768, 0.99999999999998168, 0.99999999999998568, 0.99999999999998745, 0.99999999999998701, 0.99999999999998479, 0.99999999999998168}; + static constexpr double impulse[256] = {0.0013357324072078415, 0.010699962336087152, 0.040321320107627484, 0.096330905444099751, 0.16599616409883095, 0.22169662052886563, 0.2385167380098494, 0.20847376016484853, 0.1426174539978261, 0.063369598426341711, -0.0063279106369648064, -0.051336309634060474, -0.06748042392265266, -0.059922215473150575, -0.038849561296926682, -0.014857408858019283, 0.0043127139686126026, 0.015060395788292784, 0.017508376489476625, 0.014111968104754534, 0.0080771392562919569, 0.0021422692752796138, -0.0020419401095490494, -0.003973617965505028, -0.0039978450184425494, -0.0028728103020254254, -0.0013851171001269293, -0.00010937229283549624, 0.00067386953056596454, 0.00094083576269048249, 0.00082700569523127534, 0.00052254404054388357, 0.00019443561935436051, -5.2625970800117532e-05, -0.00018098020968861266, -0.00020314413439980871, -0.00015725797004338769, -8.5253389693270361e-05, -1.9031494165338235e-05, 2.4631809586980552e-05, 4.2611767183498806e-05, 4.0584209285017786e-05, 2.7645168918094475e-05, 1.2204651722330786e-05, -1.7839673790705728e-07, -7.2068584729351003e-06, -9.1262339238392126e-06, -7.567290728137735e-06, -4.4770298104462678e-06, -1.4140787240316715e-06, 7.4045904757485599e-07, 1.7497001960288574e-06, 1.8132482018164979e-06, 1.3208870671397995e-06, 6.5657416463273454e-07, 8.8610557515618978e-08, -2.5891162379484697e-07, -3.8006751714794133e-07, -3.3768424735417062e-07, -2.1516036565250863e-07, -8.3127109454336375e-08, 1.5691989115162036e-08, 6.6869166543518948e-08, 7.6195913557853548e-08, 5.9188900840629162e-08, 3.2309659217589089e-08, 7.7299972695970936e-09, -8.3637916821250565e-09, -1.4971832298229338e-08, -1.4308997695359365e-08, -9.7511013281885947e-09, -4.3378109433819205e-09, -2.8642374284144196e-11, 2.3986991242923095e-09, 3.0587350711525851e-09, 2.5336473054299707e-09, 1.4975128935834878e-09, 4.7830807461703645e-10, -2.3281869735085465e-10, -5.6295111906563046e-10, -5.8292114019236416e-10, -4.2335025731880872e-10, -2.100380939906396e-10, -2.9174516906423388e-11, 8.0517848266500903e-11, 1.182475745850485e-10, 1.0467981354523347e-10, 6.6417333114136339e-11, 2.5575576354428316e-11, -4.7297031253229511e-12, -2.0262337251736953e-11, -2.2990904783353528e-11, -1.7771883247159798e-11, -9.6486647144720371e-12, -2.2882827485729696e-12, 2.4870976136908465e-12, 4.419770852466846e-12, 4.200450011605375e-12, 2.8459723585097433e-12, 1.2564049196135555e-12, 2.3831305224209664e-15, -6.9665849234211792e-13, -8.8143196738111518e-13, -7.2561845910583017e-13, -4.2594334051248174e-13, -1.3417575969799486e-13, 6.7529395136400972e-14, 1.5990298312089765e-13, 1.6433513412437761e-13, 1.1855548587841154e-13, 5.8298178014624725e-14, 7.6877080293968945e-15, -2.2696562353120253e-14, -3.2915470960038542e-14, -2.8927173176293531e-14, -1.8216810067166511e-14, -6.9183621837041361e-15, 1.3877135675790561e-15, 5.5919175646726645e-15, 6.2834013004132393e-15, 4.8215572625672333e-15, 2.5939183785747457e-15, 5.957803352628188e-16, -6.8788062396123026e-16, -1.1979111437876671e-15, -1.1288695606510215e-15, -7.5890136105954109e-16, -3.3075479318129343e-16, 3.8273467070042699e-18, 1.8819491832290009e-16, 2.3509262296391175e-16, 1.919993070871732e-16, 1.1169184345936275e-16, 3.4365375661719502e-17, -1.8578882229085692e-17, -4.2449651350513815e-17, -4.319566987531407e-17, -3.0912146514865942e-17, -1.5022799418123707e-17, -1.8078698916464173e-18, 6.0407164527627927e-18, 8.610225735518261e-18, 7.5014059351799552e-18, 4.6822776750874833e-18, 1.7453584302391684e-18, -3.9314941509847564e-19, -1.4609353859790349e-18, -1.6221989451165866e-18, -1.234432427101261e-18, -6.5693617121547182e-19, -1.4431400548184545e-19, 1.8165906498870749e-19, 3.0852074994081927e-19, 2.879470964296901e-19, 1.9188922292730645e-19, 8.2343902002613158e-20, -2.4376123241647189e-21, -4.8589645568190778e-20, -5.9810262733436173e-20, -4.8420550792352005e-20, -2.7883596971749686e-20, -8.3323831104475318e-21, 4.9225000408076205e-21, 1.0798570041209286e-20, 1.0868657340828307e-20, 7.7101779513459367e-21, 3.697212902048545e-21, 3.9285450616529955e-22, -1.547870121890617e-21, -2.1643725287193335e-21, -1.8680887280152022e-21, -1.1548692191789339e-21, -4.2125978604927028e-22, 1.0774644608520648e-22, 3.6811664454678515e-22, 4.0354985489902886e-22, 3.0437129157239247e-22, 1.6006539040147192e-22, 3.3314197914532362e-23, -4.6446733528543364e-23, -7.6799182156126019e-23, -7.095023763920223e-23, -4.6844046977575474e-23, -1.9757300146022349e-23, 1.0023134306105037e-24, 1.2160996531975217e-23, 1.4738296645652757e-23, 1.1822653257395906e-23, 6.7348594578324017e-24, 1.9463202902649172e-24, -1.2677059801674121e-24, -2.6672480439570168e-24, -2.6540709985415155e-24, -1.8656381259295055e-24, -8.8174367554831973e-25, -7.9680114922923357e-26, 3.860189004340734e-25, 5.2916145181095019e-25, 4.5232053873219015e-25, 2.7681516608111943e-25, 9.8580967421106925e-26, -2.8687943571348113e-26, -9.0395524097881168e-26, -9.7797876793720383e-26, -7.3088230708968914e-26, -3.7954075901365518e-26, -7.4182768088927821e-27, 1.1593244644450631e-26, 1.8656616448223789e-26, 1.7056242266051964e-26, 1.1153026524315299e-26, 4.6169662283876885e-27, -3.4336913616091908e-28, -2.9750552023588685e-27, -3.5489431180513404e-27, -2.8201956027698688e-27, -1.5884226089888738e-27, -4.4224667745769657e-28, 3.1928542168660636e-28, 6.447136033780591e-28, 6.341154398577211e-28, 4.4156644944842935e-28, 2.0550866598426091e-28, 1.5001599540731805e-29, -9.4321677446049071e-29, -1.2674606168859686e-28, -1.0727764814089976e-28, -6.4968663987786312e-29, -2.2542912104729937e-29, 7.4531911400384525e-30, 2.1772344191925124e-29, 2.3243737459881478e-29, 1.7208841014874618e-29, 8.819020086872314e-30, 1.6037085032213891e-30, -2.8401140185513016e-30, -4.4496458018720577e-30, -4.0251021270312773e-30, -2.606042872854127e-30, -1.0575660283548098e-30, 1.0607417376003358e-31, 7.1520117949818826e-31, 8.3976316392580696e-31, 6.6098150410948822e-31, 3.6793307798592013e-31, 9.8321832783568432e-32, -7.8981808684340221e-32, -1.5327193128329817e-31, -1.4900152652106857e-31, -1.0276592885161248e-31, -4.7061129228490447e-32, -2.5549199842571572e-33, 2.2680956631399373e-32, 2.9882449298073857e-32, 2.5041971899064569e-32, 1.5003272666132945e-32}; + static constexpr double chirp_in[4096] = {1, 0.99999992642979929, 0.99999882287700514, 0.99999404081958787, 0.9999811660875062, 0.99995401897637071, 0.99990465453387189, 0.99982336314626385, 0.99969867158853654, 0.99951734473821929, 0.99926438818900221, 0.998923052036508, 0.99847483614453059, 0.99789949723582638, 0.99717505818699503, 0.99627781994202647, 0.99518237649358454, 0.9938616334148932, 0.99228683045801158, 0.99042756876612315, 0.98825184327798898, 0.98572608093165093, 0.98281518530153245, 0.97948258832792745, 0.9756903098201305, 0.97139902543374301, 0.96656814383854717, 0.96115589380530031, 0.95511942194735522, 0.94841490185561306, 0.94099765536237645, 0.93282228666059408, 0.92384282998911005, 0.91401291157120323, 0.90328592646221384, 0.89161523092170281, 0.87895435087564089, 0.86525720697385833, 0.85047835667664762, 0.83457325372130264, 0.81749852522376165, 0.79921226656174948, 0.77967435406322239, 0.75884677538693723, 0.73669397733007314, 0.7131832306305963, 0.68828501114913054, 0.66197339661628929, 0.6342264779166199, 0.60502678364962148, 0.57436171646195799, 0.54222399938345511, 0.50861213012343165, 0.4735308409942906, 0.43699156182725674, 0.39901288293222104, 0.35962101483159181, 0.31885024116901001, 0.27674336086026408, 0.2333521152185779, 0.18873759545291671, 0.14297062560971868, 0.096132115709591626, 0.048313379525507044, -0.00038358883718521143, -0.049845885660697295, -0.099949521968676278, -0.15055930804420456, -0.20152880479580074, -0.25270034875965974, -0.30390515757424702, -0.35496352274746379, -0.4056850964493664, 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0.97948258832792812, 0.92087913039150737, 0.82602263024340583, 0.6982368180860713, 0.54222399938345556, 0.36391230372523414, 0.17024729818871898, -0.031065697601372073, -0.23185984575257096, -0.42383465395227493, -0.59890073081561812, -0.74952733250515868, -0.86907778464520447, -0.95211766591071434, -0.99468110844139468, -0.99448172624941999, -0.95105651629515231, -0.86583354565218051, -0.74211726695732327, -0.58498878606033655, -0.4011222042584015, -0.19852211184659407, 0.013808759593047724, 0.22625900242972455, 0.42903908336572988, 0.61263423194927435, 0.76825896913416514, 0.88829153315462384, 0.96666642869321839, 0.99920437022617881, 0.98386102377908657, 0.92087913039150748, 0.81283271986127859, 0.66455703958209811, 0.48296332366677897, 0.27674336086027079, 0.055974700631925785, -0.16835704134703514, -0.38489726725106244, -0.58249718413303753, -0.75079558121367618, -0.8807772378003631, -0.96527750388896616, -0.99940414055107052, -0.98085070531978158, -0.91008053699473446, 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0.12396308361540023, -0.110630256377754, 0.098040999160336914, -0.086200379880266867, 0.075112604335562244, -0.064781119288953887, 0.055208709333225685, -0.046397587328288914, 0.038349478447046295, -0.03106569760236999, 0.024547220292490568, -0.018794746789342908, 0.013808759594209193, -0.0095895741816169593, 0.0061373830151254354, -0.0034522927602768901, 0.0015343547837478589, -0.00038358883724551112, -4.1594761818964385e-13}; + static constexpr double chirp[4096] = {0.0013357324072078415, 0.012035694645024892, 0.052357012491402767, 0.14868789677353253, 0.31468394092354296, 0.53638007609450533, 0.77489527841169259, 0.98336501094853124, 1.1259733471563571, 1.1893245943302344, 1.1829631044678659, 1.1315699607420608, 1.0639993364263873, 1.0039414064562839, 0.96489653531666564, 0.9497683191709102, 0.9537170955171248, 0.96830111285917675, 0.98519969983110123, 0.99854583134319708, 1.005676770081017, 1.0066664657537367, 1.0032378776242559, 0.99761415832195999, 0.99167173035920642, 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3.4769470954720133e-09, -3.5830681404747447e-09, 3.6196074641248535e-09, -3.5906741667436279e-09, 3.5015119909456716e-09, -3.3577849181134177e-09, 3.166161486228879e-09, -2.9330598513309706e-09, 2.6660994264208907e-09, -2.3714346025619816e-09, 2.0574383209496019e-09, -1.7291551410126768e-09, 1.3951481313539266e-09, -1.0593999773570936e-09, 7.2951317599614929e-10, -4.0887814661827449e-10, 1.0331229491691851e-10, 1.842425359412786e-10, -4.498822694584681e-10, 6.9156518337464001e-10, -9.0656037277786483e-10, 1.0944919560506444e-09, -1.2532509199251335e-09, 1.3839260536163689e-09, -1.4854509345664513e-09, 1.5594070138912758e-09, -1.6063305369011516e-09, 1.6276021914778116e-09, -1.6252765406296957e-09, 1.6005529518935135e-09, -1.5562891309862936e-09, 1.493941022214125e-09, -1.4162972736871809e-09, 1.3254669285430766e-09, -1.2236309258591496e-09, 1.1134388609951393e-09, -9.9655574096363622e-10, 8.756319242277967e-10, -7.5225230813371832e-10, 6.2828539322112159e-10, -5.0587517323990444e-10, 3.8561238447157309e-10, -2.7006665512859657e-10, 1.5910924888815764e-10, -5.4899765831485647e-11, -4.2639063937630062e-11, 1.3226479156705495e-10, -2.1386257912162088e-10, 2.867678438461807e-10, -3.5127066424882336e-10, 4.0653687209159239e-10, -4.5372120036774044e-10, 4.9167504703045983e-10, -5.2201887018772652e-10, 5.4386968930189572e-10, -5.5863141933468197e-10, 5.660388197655658e-10, -5.6710128368449297e-10, 5.620896966190142e-10, -5.5163230016849751e-10, 5.3647049086044674e-10, -5.1682106380970816e-10, 4.9383695201708766e-10, -4.6733652201997461e-10, 4.3876276234217776e-10, -4.0772511723189547e-10, 3.7554695572934726e-10, -3.4210581763283177e-10, 3.0820018694262263e-10, -2.7398247554174734e-10, 2.4024619901981403e-10, -2.064466385928547e-10, 1.742810728903605e-10, -1.4238047482825148e-10, 1.1215233789948521e-10, -8.381063318395679e-11, 5.5711681687213577e-11, -3.1577376564256854e-11, 6.6587478803406541e-12, 1.3931764162450344e-11, -3.440346423543017e-11, 5.1811480127929299e-11, -6.8031154277711781e-11, 8.1514114035063923e-11, -9.4425352302821008e-11, 1.0372738952491023e-10, -1.1338156726426601e-10, 1.1951377322690082e-10, -1.2529889972801023e-10, 1.2931726587998849e-10, -1.315043603525301e-10, 1.3326816603390079e-10, -1.3321356908194137e-10, 1.322532738705362e-10, -1.3080880888020896e-10, 1.2771576743224322e-10, -1.2471229127522521e-10, 1.2050376582001254e-10, -1.1600377147584495e-10, 1.1098926964124567e-10, -1.0567635004912757e-10, 9.9828842024460296e-11, -9.4218325415867943e-11, 8.7867971796176669e-11, -8.2006901269693344e-11, 7.5693049050862271e-11, -6.9568532141614514e-11, 6.3615702983188527e-11, -5.7424305761888395e-11, 5.1858502951931951e-11, -4.5978098498627995e-11, 4.0633808600851196e-11, -3.5408566486858084e-11, 3.0300148674833327e-11, -2.5644367705746074e-11, 2.1158639293764048e-11, -1.6756394449063405e-11, 1.312607010930944e-11, -9.0755753606730494e-12, 5.9537230831172017e-12, -2.6891432873890619e-12, -1.906834065645846e-13, 2.7503752313834395e-12, -5.118610288228076e-12, 7.3014765891374345e-12, -9.0815421589091061e-12, 1.0783920631474153e-11, -1.2337043062485287e-11, 1.328374313758901e-11, -1.4748435762587664e-11, 1.5255160632984821e-11, -1.6083750000242536e-11, 1.6888908023829363e-11, -1.6670918389239536e-11, 1.7750039448243687e-11, -1.717177328065464e-11, 1.7653895055882995e-11, -1.7446702394417757e-11, 1.728310355074425e-11, -1.6950367650279963e-11, 1.7002679700370976e-11, -1.597065226377134e-11, 1.6246368508311682e-11, -1.5274046621677889e-11, 1.4727023609937759e-11, -1.466702253356475e-11, 1.3203188894842302e-11, -1.3423873476562168e-11, 1.2147873418993926e-11, -1.1701743727102719e-11, 1.0989399196409746e-11, -1.0273181963319292e-11, 9.3687800844111796e-12, -8.8922645559864205e-12, 8.0655710246475137e-12, -6.8632701315262702e-12, 7.2422275221675249e-12, -4.7911719486563517e-12, 5.8490015504293179e-12, -3.6205704910920525e-12, 3.6530913080504764e-12, -2.727269107706716e-12, 1.7965122839946651e-12, -1.0978313354768717e-12, 6.7549846114639801e-13}; +}; + +struct case_zeta_6_100Hz_1000Hz_z50 +{ + static constexpr int order = 6; + static constexpr double cutoff_hz = 100.0; + static constexpr double sample_rate_hz = 1000.0; + + static constexpr double b[7] = {0, 6.4314107941890961e-05, 0.0027024935838867964, 0.010683589123119883, 0.0081546464450975645, 0.0012029844803962801, 1.6727247079100466e-05}; + static constexpr double a[7] = {1, -3.7494765473618279, 6.2866557330121005, -5.9529093911011621, 3.3538559663515635, -1.0671368078938002, 0.15183580198064855}; + static constexpr double step[256] = {0, 6.4314107941890961e-05, 0.0030079519312213045, 0.024324321381248123, 0.094281413613638176, 0.24108570751855329, 0.46883604742522772, 0.74796024720043053, 1.024329089498426, 1.2406437116786466, 1.3580720557064674, 1.3682782549504942, 1.2923976946503113, 1.1698169755969441, 1.0430318414750102, 0.94480431654619279, 0.89139914617197569, 0.88253340012232329, 0.90622192513397826, 0.94561727609524082, 0.98517220052273924, 1.0144913632956438, 1.0294715907732184, 1.031285702488197, 1.024228401862155, 1.0134351017841099, 1.0031721171736359, 0.99598357185190922, 0.99262914374489331, 0.99254170791208551, 0.99448344032031999, 0.99714113919915537, 0.99951601396028744, 1.0010765624059115, 1.0017225482499637, 1.001643271230229, 1.0011510527047638, 1.0005463011314557, 1.0000394629857055, 0.99972910976000273, 0.99961988006739411, 0.99965927048082026, 0.99977539462371512, 0.99990476825963093, 1.000006414208674, 1.0000639322339242, 1.0000798874531021, 1.0000672432061033, 1.0000414502149142, 1.0000151294130042, 0.99999575638339921, 0.99998574423340258, 0.99998390039307194, 0.99998727538492549, 0.9999927227592722, 0.99999785601142221, 1.0000013894340962, 1.0000030279927672, 1.0000031279331503, 1.0000023202087567, 1.0000012177507474, 1.0000002526756933, 0.99999963349380305, 0.99999938299727908, 0.99999941170387796, 0.999999591081004, 0.99999980617207784, 0.99999998176697957, 1.0000000861903104, 1.0000001212992826, 1.0000001074433214, 1.0000000697710494, 1.0000000291323823, 0.99999999812992746, 0.99999998119041322, 0.99999997688992837, 0.99999998090205056, 0.99999998847243221, 0.9999999959334076, 1.0000000012532873, 1.0000000038880033, 1.0000000042815489, 1.0000000033087608, 1.0000000018417703, 1.000000000507387, 0.99999999961965225, 0.99999999922957183, 0.99999999922661775, 0.99999999944079132, 0.9999999997163953, 0.99999999994929079, 1.0000000000932836, 1.000000000147462, 1.0000000001364397, 1.0000000000921765, 1.0000000000417799, 1.0000000000020628, 0.99999999997939559, 0.99999999997255129, 0.99999999997641842, 0.99999999998515543, 0.99999999999415135, 1.0000000000007709, 1.0000000000042166, 1.0000000000049356, 1.0000000000039408, 1.0000000000022751, 1.0000000000007048, 0.9999999999996283, 0.99999999999912825, 0.99999999999908917, 0.99999999999931743, 0.99999999999962963, 0.99999999999989964, 1.0000000000000693, 1.000000000000135, 1.0000000000001248, 1.0000000000000755, 1.0000000000000187, 0.99999999999997335, 0.99999999999994671, 0.99999999999993827, 0.99999999999994316, 0.99999999999995515, 0.99999999999996758, 0.99999999999997513, 0.99999999999997469, 0.99999999999996714, 0.99999999999995648, 0.99999999999994804, 0.99999999999994582, 0.99999999999995071, 0.99999999999996048, 0.99999999999997113, 0.99999999999997913, 0.99999999999998224, 0.9999999999999809, 0.9999999999999778, 0.99999999999997602, 0.99999999999997735, 0.99999999999998135, 0.99999999999998579, 0.99999999999998801, 0.99999999999998668, 0.99999999999998268, 0.9999999999999778, 0.99999999999997469, 0.99999999999997469, 0.99999999999997691, 0.99999999999997868, 0.99999999999997691, 0.99999999999997025, 0.99999999999995959, 0.99999999999994849, 0.99999999999994138, 0.99999999999994138, 0.99999999999994893, 0.99999999999996181, 0.99999999999997558, 0.99999999999998579, 0.99999999999998979, 0.99999999999998757, 0.9999999999999809, 0.99999999999997291, 0.99999999999996669, 0.99999999999996447, 0.99999999999996625, 0.99999999999997025, 0.99999999999997469, 0.99999999999997868, 0.99999999999998179, 0.99999999999998357, 0.99999999999998312, 0.99999999999998002, 0.99999999999997469, 0.99999999999996803, 0.99999999999996092, 0.99999999999995426, 0.99999999999994982, 0.99999999999994893, 0.99999999999995115, 0.99999999999995515, 0.99999999999996003, 0.99999999999996581, 0.99999999999997202, 0.99999999999997735, 0.99999999999998046, 0.99999999999998002, 0.99999999999997513, 0.99999999999996625, 0.99999999999995559, 0.99999999999994627, 0.99999999999994094, 0.99999999999994049, 0.99999999999994449, 0.99999999999995115, 0.9999999999999587, 0.99999999999996581, 0.99999999999997158, 0.99999999999997558, 0.9999999999999778, 0.99999999999997913, 0.99999999999998046, 0.99999999999998179, 0.99999999999998224, 0.9999999999999809, 0.99999999999997824, 0.99999999999997558, 0.9999999999999738, 0.99999999999997291, 0.99999999999997158, 0.99999999999996847, 0.99999999999996314, 0.99999999999995737, 0.99999999999995426, 0.99999999999995604, 0.99999999999996225, 0.9999999999999698, 0.99999999999997469, 0.99999999999997469, 0.99999999999997069, 0.99999999999996536, 0.99999999999996092, 0.9999999999999587, 0.99999999999995914, 0.99999999999996181, 0.99999999999996581, 0.9999999999999698, 0.99999999999997291, 0.99999999999997513, 0.99999999999997735, 0.99999999999997957, 0.9999999999999809, 0.9999999999999809, 0.99999999999997957, 0.99999999999997735, 0.99999999999997513, 0.99999999999997291, 0.9999999999999698, 0.99999999999996536, 0.99999999999996048, 0.99999999999995692, 0.99999999999995648, 0.99999999999996003, 0.99999999999996669, 0.99999999999997424, 0.99999999999998046, 0.99999999999998401, 0.99999999999998401, 0.99999999999998046, 0.99999999999997469, 0.99999999999996847, 0.99999999999996358, 0.99999999999996092, 0.99999999999996092, 0.99999999999996358}; + static constexpr double impulse[256] = {0, 6.4314107941890961e-05, 0.0029436378232794136, 0.021316369450026816, 0.06995709223239005, 0.14680429390491512, 0.22775033990667448, 0.27912419977520275, 0.2763688422979953, 0.21631462218022035, 0.11742834402782154, 0.010206199244028269, -0.075880560300181824, -0.12258071905336712, -0.12678513412193426, -0.098227524928818089, -0.053405170374217936, -0.0088657460496526785, 0.023688525011656497, 0.039395350961266756, 0.039554924427504606, 0.029319162772910523, 0.01498022747757756, 0.0018141117149773692, -0.0070573006260465912, -0.01079330007805129, -0.010262984610479559, -0.0071885453217302858, -0.0033544281070173113, -8.7435832807437885e-05, 0.0019417324082361385, 0.0026576988788384239, 0.0023748747611366736, 0.0015605484456300608, 0.00064598584405931286, -7.9277019728474056e-05, -0.0004922185254630433, -0.00060475157331108171, -0.00050683814575768014, -0.00031035322571243938, -0.00010922969261715522, 3.9390413421296479e-05, 0.00011612414289413847, 0.00012937363591780096, 0.00010164594904514253, 5.7518025250491477e-05, 1.5955219176839146e-05, -1.2644246998970793e-05, -2.5792991187215529e-05, -2.6320801906674275e-05, -1.9373029601646227e-05, -1.0012149994726612e-05, -1.8438403313473088e-06, 3.3749918507670584e-06, 5.4473743433742585e-06, 5.1332521472814341e-06, 3.5334226727339219e-06, 1.6385586716020748e-06, 9.9940385645877816e-08, -8.07724390438015e-07, -1.1024580071510135e-06, -9.6507505376173071e-07, -6.1918189229139193e-07, -2.5049652808250067e-07, 2.8706593715090651e-08, 1.7937712188687112e-07, 2.1509107236817618e-07, 1.7559490299696042e-07, 1.0442333404584836e-07, 3.5108976581375456e-08, -1.3855956056018432e-08, -3.7672267149707783e-08, -4.0638663305918832e-08, -3.100245179484608e-08, -1.6939511745850022e-08, -4.3004835227786738e-09, 4.0121207646197302e-09, 7.5703769342139275e-09, 7.4609691392093254e-09, 5.3198745924127094e-09, 2.6347134802295262e-09, 3.9354481523980577e-10, -9.7278968970906649e-10, -1.4669948807825136e-09, -1.3343901614658946e-09, -8.8774203609873423e-10, -3.9008515983816273e-10, -2.9546645402195906e-12, 2.1417723038713228e-10, 2.756102609409024e-10, 2.3290228442138244e-10, 1.4399878339880755e-10, 5.4182770060498591e-11, -1.1019643672430951e-11, -4.426124118160507e-11, -5.0394742474405172e-11, -3.9715369420064625e-11, -2.2666052610266669e-11, -6.8448374714748994e-12, 3.8642009526568946e-12, 8.7328952530557726e-12, 8.9928569774047513e-12, 6.6200733915075136e-12, 3.4501150592346171e-12, 7.2571552284354307e-13, -9.8821233650580486e-13, -1.6615104027053209e-12, -1.5692274264494966e-12, -1.0785407502652208e-12, -5.0468293092765089e-13, -4.5631885562155293e-14, 2.2116666737872455e-13, 3.0676617632804153e-13, 2.6811963651268024e-13, 1.715982186471618e-13, 7.0151224226575787e-14, -5.5625782650095098e-15, -4.5818888178826057e-14, -5.5196415403626832e-14, -4.4892100065628784e-14, -2.661441810186764e-14, -9.0657657750649569e-15, 3.1556074986965822e-15, 9.0084639743460206e-15, 9.7068287843461852e-15, 7.3677361729571682e-15, 4.0113890829188099e-15, 1.0369427479780116e-15, -8.9194014424412771e-16, -1.7033939714435073e-15, -1.6717717843080455e-15, -1.1849982941294798e-15, -5.8449353975924785e-16, -9.0103612533636403e-17, 2.0703662207434089e-16, 3.1223285253395201e-16, 2.8234980781879662e-16, 1.8661891656699652e-16, 8.16042466884985e-17, 1.0004888453244009e-18, -4.3541984362797186e-17, -5.5761911369783691e-17, -4.680047808013746e-17, -2.873087581383532e-17, -1.0742100804161609e-17, 2.1451195578679779e-18, 8.6103712833689124e-18, 9.7353652805541238e-18, 7.6154580601447797e-18, 4.3125138944831903e-18, 1.2898804654868476e-18, -7.2905659352792582e-19, -1.6301560121699223e-18, -1.6653542313667541e-18, -1.2163150019128735e-18, -6.2837115877102298e-19, -1.2975677976726624e-19, 1.7967578205428117e-19, 2.9849033533400203e-19, 2.7954462047265756e-19, 1.9054139210167001e-19, 8.8249919840931214e-20, 7.4734393389515053e-21, -3.8803322603739389e-20, -5.3188861973923336e-20, -4.6087221709084657e-20, -2.9236662844691795e-20, -1.1799721154635022e-20, 1.0495940303202634e-21, 7.7748527593200433e-21, 9.2606798512127315e-21, 7.4657538054458591e-21, 4.3840249114963225e-21, 1.4671069141198854e-21, -5.3853720385764716e-22, -1.4818772542213486e-21, -1.579621657572452e-21, -1.1882450450588777e-21, -6.4011233741980861e-22, -1.607926289222586e-22, 1.4598960333039419e-22, 2.7223409334827808e-22, 2.6443269974776605e-22, 1.857110838338572e-22, 9.0483031619860054e-23, 1.3077275595801241e-23, -3.2806091211780186e-23, -4.8577951852774727e-23, -4.3491726387326496e-23, -2.846915364009342e-23, -1.2263475443222273e-23, 2.1115507212971234e-26, 6.7079329659200531e-24, 8.4608242832081357e-24, 7.031945385634253e-24, 4.2725543340698953e-24, 1.5660695963837611e-24, -3.4891317150045527e-25, -1.2932326911814693e-24, -1.4429183817294016e-24, -1.1178013482741617e-24, -6.2584753722836223e-25, -1.8173813774661183e-25, 1.1115670794583279e-25, 2.3920332132052519e-25, 2.4145482494450413e-25, 1.7462694131547914e-25, 8.905497777173192e-26, 1.7409067767011033e-26, -2.6464340751297218e-26, -4.2863933174555071e-26, -3.9698728453510397e-26, -2.6786765427649853e-26, -1.2215510100191302e-26, -8.5046347553696866e-28, 5.5670971362113644e-27, 7.4857047998565598e-27, 6.4179258012679196e-27, 4.0281396598888675e-27, 1.5937965023505528e-27, -1.7828453993554687e-28, -1.0907854835934268e-27, -1.2789282679242003e-27, -1.0204891657335911e-27, -5.9234185088569352e-28, -1.9276387316419699e-28, 7.8599971909602419e-29, 2.0379402918919343e-28, 2.1429889723053128e-28, 1.5956356332089777e-28, 8.4844128789552826e-29, 2.0351358468802236e-29, -2.0397267863951628e-29, -3.6761848418664817e-29, -3.5274375435045635e-29, -2.4517139581998785e-29, -1.1763732102283082e-29, -1.5249778087861955e-30, 4.4606433352470853e-30, 6.4497919495952155e-30, 5.7093940439021154e-30, 3.6970470800528302e-30, 1.5624640737961656e-30, -3.6144692141801199e-32, -8.9297136434367854e-31, -1.1057070994170836e-30, -9.091002276883771e-31, -5.4598482093091282e-31, -1.9504327796360295e-31, 5.0264924789136464e-32, 1.6907443168645877e-31, 1.8577343609249345e-31, 1.4240346398459958e-31, 7.8710447808347783e-32, 2.1976669612227583e-32, -1.4973375451823329e-32}; + static constexpr double chirp_in[4096] = {1, 0.99999992642979929, 0.99999882287700514, 0.99999404081958787, 0.9999811660875062, 0.99995401897637071, 0.99990465453387189, 0.99982336314626385, 0.99969867158853654, 0.99951734473821929, 0.99926438818900221, 0.998923052036508, 0.99847483614453059, 0.99789949723582638, 0.99717505818699503, 0.99627781994202647, 0.99518237649358454, 0.9938616334148932, 0.99228683045801158, 0.99042756876612315, 0.98825184327798898, 0.98572608093165093, 0.98281518530153245, 0.97948258832792745, 0.9756903098201305, 0.97139902543374301, 0.96656814383854717, 0.96115589380530031, 0.95511942194735522, 0.94841490185561306, 0.94099765536237645, 0.93282228666059408, 0.92384282998911005, 0.91401291157120323, 0.90328592646221384, 0.89161523092170281, 0.87895435087564089, 0.86525720697385833, 0.85047835667664762, 0.83457325372130264, 0.81749852522376165, 0.79921226656174948, 0.77967435406322239, 0.75884677538693723, 0.73669397733007314, 0.7131832306305963, 0.68828501114913054, 0.66197339661628929, 0.6342264779166199, 0.60502678364962148, 0.57436171646195799, 0.54222399938345511, 0.50861213012343165, 0.4735308409942906, 0.43699156182725674, 0.39901288293222104, 0.35962101483159181, 0.31885024116901001, 0.27674336086026408, 0.2333521152185779, 0.18873759545291671, 0.14297062560971868, 0.096132115709591626, 0.048313379525507044, -0.00038358883718521143, -0.049845885660697295, -0.099949521968676278, -0.15055930804420456, -0.20152880479580074, -0.25270034875965974, -0.30390515757424702, -0.35496352274746379, -0.4056850964493664, -0.45586927889726703, -0.50530571264738766, -0.55377488976053313, -0.60104887736125978, -0.64689216655377857, -0.69106264898686465, -0.73331272456861973, -0.77339054291489417, -0.81104138006864557, -0.8460091508484886, -0.87803805587175265, -0.9068743608505454, -0.93226830418043516, -0.95397612713425417, -0.97176221914417393, -0.9854013687119787, -0.99468110844139446, -0.99940414055107041, -0.99939082701909576, -0.99448172624942033, -0.98454015586016352, -0.96945475889963473, -0.94914204852736517, -0.92354890398720091, -0.89265498858333392, -0.85647505838693705, -0.81506112859245528, -0.7685044628528731, -0.71693734959881206, -0.66053462833527321, -0.59951492826162256, -0.53414158132492895, -0.46472317204376912, -0.39161368717798556, -0.3152122296164856, -0.23596226275400647, -0.15435035416899404, -0.070904390633105427, 0.013808759593039822, 0.09918615657250443, 0.18459228461860086, 0.2693631422116452, 0.35281092692297711, 0.43422930879702298, 0.51289927740590668, 0.5880955389371294, 0.65909343027171097, 0.72517630714337644, 0.78564335324217838, 0.83981774665942033, 0.88705510950404776, 0.92675215601078931, 0.9583554441811033, 0.98137012613941343, 0.99536858315359633, 0.99999882287700514, 0.99499250904629088, 0.98017248784854372, 0.95545967068985072, 0.92087913039150604, 0.87656526714078131, 0.82276590205092281, 0.7598451601445787, 0.68828501114912999, 0.60868534583648182, 0.52176247787447139, 0.42834597636238814, 0.32937375243207906, 0.22588534448833064, 0.11901337075840943, 0.0099731446764950698, -0.099949521968675376, -0.20941227153109016, -0.31703181849493733, -0.42140110777252832, -0.52110785216033795, -0.61475425146856222, -0.70097765980614957, -0.77847193249159985, -0.84600915084848771, -0.90246139255836488, -0.94682218813969621, -0.97822728137500836, -0.99597429399523896, -0.99954088350734849, -0.98860097853545059, -0.9630386791909602, -0.92295942146047771, -0.86869802495628545, -0.80082327303127221, -0.72013871347380276, -0.6276794168385581, -0.52470448779900736, -0.41268519236054085, -0.29328863974147795, -0.16835704134703858, -0.039882659401103367, 0.09002134692995295, 0.21915387133951877, 0.34526219919889106, 0.46608122869670787, 0.57937497068616284, 0.68297963205683976, 0.7748475038260193, 0.85309080213204103, 0.91602455057213206, 0.96220754845479073, 0.99048044398756308, 0.99999992642979929, 0.99026806874157036, 0.96115589380530075, 0.91292030397297208, 0.84621360604462514, 0.7620849817471087, 0.66197339661628984, 0.54769160642970061, 0.42140110777252909, 0.2855780849582823, 0.14297062560971963, -0.0034522927617008812, -0.15055930804420603, -0.29512169978712482, -0.43388373911755923, -0.56363695259073099, -0.68129669877065169, -0.78397929272312616, -0.8690777846452038, -0.9343344109714895, -0.97790769530701704, -0.99843218742645046, -0.9950688952752843, -0.96754459005089155, -0.9161783491799238, -0.84189394582437793, -0.74621699410734765, -0.63125611230023981, -0.49966776553729064, -0.35460488704253801, -0.19964984230321187, -0.038732782291660182, 0.1239630836160234, 0.28410729153688535, 0.43733655464327453, 0.57937497068616117, 0.70615681024133081, 0.81394842128514178, 0.89946560517441376, 0.95998273974085324, 0.99342995728005579, 0.99847483614453048, 0.97458533851213081, 0.92207112396763224, 0.84210088492281143, 0.73669397733007302, 0.60868534583648282, 0.46166354924637748, 0.29988255844234957, 0.12814889944360713, -0.048313379525509959, -0.2240165573282355, -0.39337772332802823, -0.55089698145210475, -0.69133985418658528, -0.80991791317645134, -0.90246139255836466, -0.96557747552099782, -0.99678810088010106, -0.99464152469519274, -0.95879249417982837, -0.89004674065898659, -0.79036655916348131, -0.66283548908721601, -0.51158150864681218, -0.34165966256345809, -0.15889660674110515, 0.030298881123715433, 0.21915387133951658, 0.40077079795557791, 0.56838039236265869, 0.71559896074412133, 0.83668028795140859, 0.92675215601078997, 0.98202755565343003, 0.9999811660875062, 0.97948258832792812, 0.92087913039150737, 0.82602263024340583, 0.6982368180860713, 0.54222399938345556, 0.36391230372523414, 0.17024729818871898, -0.031065697601372073, -0.23185984575257096, -0.42383465395227493, -0.59890073081561812, -0.74952733250515868, -0.86907778464520447, -0.95211766591071434, -0.99468110844139468, -0.99448172624941999, -0.95105651629515231, -0.86583354565218051, -0.74211726695732327, -0.58498878606033655, -0.4011222042584015, -0.19852211184659407, 0.013808759593047724, 0.22625900242972455, 0.42903908336572988, 0.61263423194927435, 0.76825896913416514, 0.88829153315462384, 0.96666642869321839, 0.99920437022617881, 0.98386102377908657, 0.92087913039150748, 0.81283271986127859, 0.66455703958209811, 0.48296332366677897, 0.27674336086027079, 0.055974700631925785, -0.16835704134703514, -0.38489726725106244, -0.58249718413303753, -0.75079558121367618, -0.8807772378003631, -0.96527750388896616, -0.99940414055107052, -0.98085070531978158, -0.91008053699473446, -0.79036655916348153, -0.62767941683856299, -0.43042453941683434, -0.20903717243428122, 0.024547220293044292, 0.25752199792776376, 0.47690591218475858, 0.6702700665282546, 0.82645479681547807, 0.93623487063973665, 0.99289265158964735, 0.99266256453924517, 0.93501624268541406, 0.82276590205092304, 0.66197339661628929, 0.46166354924637809, 0.23335211521857976, -0.0095895741826257964, -0.2527003487596628, -0.48128300660049478, -0.68129669877065224, -0.84023397604037153, -0.9479273461671317, -0.99723238944639814, -0.98454015586016264, -0.91008053699473168, -0.77799016180242753, -0.59613248546922271, -0.37567331729755787, -0.13043111482230935, 0.12396308361602595, 0.37104727229943907, 0.59459149924435239, 0.77967435406322239, 0.91370141006883898, 0.98729522857459673, 0.99499250904629022, 0.93569463493371918, 0.81283271986127059, 0.63422647791661613, 0.41163671634210847, 0.16003264759379121, -0.1033839317883601, -0.36033676125160785, -0.59273942915648381, -0.78397929272312317, -0.9201297299918394, -0.99100117924590703, -0.99094976176793526, -0.91937694488673249, -0.78087390759575936, -0.58498878606034577, -0.34562217432566072, -0.080084217820004439, 0.19212671735369832, 0.45074058099674741, 0.67622628148098096, 0.8512844415843499, 0.9622075484547904, 0.99999882287700514, 0.96115589380530075, 0.84804809615642662, 0.66884549507132596, 0.43699156182726329, 0.17024729818871992, -0.110630256376269, -0.3834806669755868, -0.62648422584859709, -0.81992136714207986, -0.94780510850409849, -0.99924960424107578, -0.96945475889963539, -0.86021435641350186, -0.67989149721536402, -0.44284765362705225, -0.16835704134703849, 0.12091746343008787, 0.40077079795558007, 0.64747701163478444, 0.83981774665941822, 0.96094386528026088, 0.99990465453387189, 0.95270229095965364, 0.82276590205091937, 0.62078697520272341, 0.36391230372523531, 0.074347571843515148, -0.22252093395631911, -0.50033216089251542, -0.73409463523198404, -0.90246139255836555, -0.98972693214480445, -0.98735610690369835, -0.89489156836093631, -0.72013871347379788, -0.47859081942819004, -0.19212671735370601, 0.11291736677555103, 0.40813786714038369, 0.66570278481121115, 0.8609957613666358, 0.97501319700248934, 0.99627781994202547, 0.92207112396763291, 0.75884677538694123, 0.5217624778744816, 0.23335211521858765, -0.07855469695947305, -0.38348066697558636, -0.65126920047307302, -0.85508594369616242, -0.97415389500088145, -0.99593983608294245, -0.91755646763273546, -0.74621699410735365, -0.49867062121686356, -0.19964984230321028, 0.12053668025531283, 0.42903908336570928, 0.69383011851338472, 0.88705510950404576, 0.98801617809016951, 0.98546660117894946, 0.878954350875643, 0.67904717547725413, 0.40638618731229703, 0.089639308903445084, -0.23745301300756336, -0.53964301532054448, -0.78397929272311817, -0.94343906000553723, -0.9999855802751384, -0.9466986959828072, -0.78871871430905482, -0.54286844851759386, -0.23596226275400908, 0.098040999161486744, 0.42174894365151211, 0.69851136524894031, 0.89659687467502402, 0.99289265158964801, 0.97569030982012916, 0.84621360604462359, 0.6186796598453691, 0.31885024116900984, -0.018794746789845506, -0.3549635227474629, -0.65010409366874566, 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-0.88077723780042294, 0.86099576136681266, -0.84023397603959249, 0.81860162390640867, -0.796205118714578, 0.77314731759783095, -0.74952733250471737, 0.72544037896198199, -0.70097765980604587, 0.67622628148050334, -0.65126920047273773, 0.62618519753795332, -0.60104887736144608, 0.57593069136480424, -0.55089698145218191, 0.52601004251397765, -0.50132820166018488, 0.47690591218530526, -0.45279386036808306, 0.4290390833651167, -0.40568509645037554, 0.3827720280763382, -0.36033676125198227, 0.33841307983513402, -0.31703181849472845, 0.29622101515464083, -0.2760060647928777, 0.25640987367073959, -0.23745301300816751, 0.2191538713382635, -0.20152880479604404, 0.18459228461925636, -0.16835704134700888, 0.15283420512977428, -0.13803344170061341, 0.12396308361540023, -0.110630256377754, 0.098040999160336914, -0.086200379880266867, 0.075112604335562244, -0.064781119288953887, 0.055208709333225685, -0.046397587328288914, 0.038349478447046295, -0.03106569760236999, 0.024547220292490568, -0.018794746789342908, 0.013808759594209193, -0.0095895741816169593, 0.0061373830151254354, -0.0034522927602768901, 0.0015343547837478589, -0.00038358883724551112, -4.1594761818964385e-13}; + static constexpr double chirp[4096] = {0, 6.4314107941890961e-05, 0.0030079519264897027, 0.02432432108897848, 0.094281408197105454, 0.24108565852685221, 0.46883576885116762, 0.747959097796973, 1.0243253363027653, 1.240633452225548, 1.3580476580876431, 1.3682263701313011, 1.2922969779250038, 1.1696356950147164, 1.0427255408350247, 0.94431364928157391, 0.89064792647376667, 0.88142685296176393, 0.90464507440547326, 0.94343339602167409, 0.98222126585021474, 1.0105884587483571, 1.0244052685782015, 1.0248162998230841, 1.0160863434087954, 1.0033192159615445, 0.99074799072460851, 0.98088196005624761, 0.97444444607974612, 0.97083051371700513, 0.96876314678432507, 0.96688864445824851, 0.96416649033307722, 0.96002231772271973, 0.95431198598570599, 0.94717996224795786, 0.93889293273650376, 0.9297050088042641, 0.9197798334986822, 0.90916883948455218, 0.89782937755605208, 0.88566170970957347, 0.8725469867551493, 0.85837526874314496, 0.84305988255412789, 0.82653976223735359, 0.80877412596767528, 0.78973421570989111, 0.76939571141738416, 0.74773375696141031, 0.72472100537709716, 0.70032807972420674, 0.67452542433366225, 0.64728556357073319, 0.61858508617458685, 0.58840603961860838, 0.55673671981688777, 0.52357201936298825, 0.48891355381908891, 0.45276975564892474, 0.41515605400694805, 0.37609518334409309, 0.33561760742389929, 0.29376201562022713, 0.25057584222000212, 0.20611576846078386, 0.16044818208815773, 0.11364958340335453, 0.065806936379698242, 0.017017967636503831, -0.032608584067756137, -0.08295276778806282, -0.13388327312198095, -0.18525734192819432, -0.23692074707343622, -0.28870784697328283, -0.34044172458598621, -0.39193441894486281, -0.44298725658961907, -0.4933912895768936, -0.54292784618660028, -0.59136919997177251, -0.63847936235553593, -0.68401500348016542, 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0.97825629341844189, 1.0059362556088476, 1.0245054236034017, 1.0335563675773327, 1.0327637403567744, 1.0218924411837871, 1.0008052021155573, 0.9694694493214856, 0.92796328933936933, 0.87648047032370946, 0.81533417069334557, 0.74495947257193129, 0.66591438519846857, 0.57887929422039885, 0.48465472658495473, 0.3841573376873057, 0.27841404753681109, 0.16855427592785271, 0.05580025284773376, -0.058544590549973873, -0.17310911337754603, -0.28646976783890671, -0.39716760657563221, -0.50372685040303411, -0.6046748342190329, -0.69856311059302523, -0.7839894527933563, -0.85962046257180136, -0.92421445373008615, -0.97664425123071308, -1.0159195182972136, -1.0412082015071107, -1.0518566672398142, -1.047408092901565, -1.0276186739622362, -0.99247121378311298, -0.94218567817063048, -0.8772263211127983, -0.79830502264467473, -0.70638052447005795, -0.60265330385803428, -0.48855589122776877, -0.36573851127844703, -0.23605001079551083, -0.10151412737576014, 0.03569874901271522, 0.17330406704135959, 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-5.48160240747856e-05, 5.4787803264439748e-05, -5.4103609228001103e-05, 5.2786897914327614e-05, -5.0868023459887815e-05, 4.8383513763577201e-05, -4.537529969168372e-05, 4.1889928002129363e-05, -3.7977750239061833e-05, 3.3692121685138679e-05, -2.9088602667838828e-05, 2.4224184659562459e-05, -1.9156546771168114e-05, 1.394334509808057e-05, -8.6415542018875615e-06, 3.3068497746189056e-06, 2.0069463623431191e-06, -7.2483690645913293e-06, 1.2368750740928194e-05, -1.7322599593673331e-05, 2.2067920814279221e-05, -2.6566470917440635e-05, 3.0783958594984044e-05, -3.4690183832221345e-05, 3.8259122669293147e-05, -4.1468964241342374e-05, 4.4302090863382774e-05, -4.6745025306677639e-05, 4.8788324982581828e-05, -5.0426451352156152e-05, 5.1657598836214696e-05, -5.2483501499838726e-05, 5.2909213873974802e-05, -5.2942874482899405e-05, 5.2595451845326597e-05, -5.1880484757420929e-05, 5.0813806996356204e-05, -4.941327912117967e-05, 4.7698507945671869e-05, -4.5690579451999178e-05, 4.3411787877530112e-05, -4.0885378433511327e-05, 3.8135296149148119e-05, -3.5185946936107356e-05, 3.2061972761481294e-05, -2.8788037714645984e-05, 2.5388633903309111e-05, -2.1887896836162526e-05, 1.8309444515614439e-05, -1.4676224792601518e-05, 1.1010387448599559e-05, -7.3331657367562782e-06, 3.6647790730410792e-06, -2.4348667047753559e-08, -3.5701697323377578e-06, 7.1020416492855947e-06, -1.0555789134959357e-05, 1.3917223803340373e-05, -1.717345503844354e-05, 2.0312895972106808e-05, -2.3325260132237214e-05, 2.6201532424083834e-05, -2.8933963956397755e-05, 3.1516015326330755e-05, -3.3942340296338778e-05, 3.6208722925924029e-05, -3.8312038804218717e-05, 4.0250194788578973e-05, -4.2022077053671879e-05, 4.3627483517904379e-05, -4.5067074542008641e-05, 4.6342295033249667e-05, -4.7455326033700314e-05, 4.8409011403984741e-05, -4.9206797912524027e-05, 4.9852677836742549e-05, -5.0351120003721451e-05, 5.0707019205747819e-05, -5.0925635315831333e-05, 5.101253711598387e-05, -5.0973556210329857e-05, 5.0814729625819078e-05, -5.0542259703015676e-05, 5.0162465912487775e-05, -4.9681745452486659e-05, 4.9106534330048009e-05, -4.8443273303759937e-05, 4.7698372813077721e-05, -4.6878187538763498e-05, 4.598898527133466e-05, -4.503692654672737e-05, 4.4028041843111298e-05, -4.2968211899242957e-05, 4.1863154840921676e-05, -4.071840746565151e-05, 3.9539318543061803e-05, -3.8331035607488478e-05, 3.7098498784239073e-05, -3.5846435825836421e-05, 3.457935616398014e-05, -3.3301549776899385e-05, 3.2017086995531583e-05, -3.0729815242419636e-05, 2.9443366131380411e-05, -2.8161152248900021e-05, 2.6886374965368352e-05, -2.562202704704852e-05, 2.4370897656402185e-05, -2.3135579126762612e-05, 2.1918472825535231e-05, -2.0721795802232285e-05, 1.9547588314194874e-05, -1.8397722433081734e-05, 1.7273906413600619e-05, -1.617769842643906e-05, 1.5110508291966994e-05, -1.4073609724972997e-05, 1.306814951186292e-05, -1.20951482090763e-05, 1.1155520726028019e-05, -1.0250070027871711e-05, 9.3795067407129485e-06, -8.544449744774227e-06, 7.7454359290324869e-06, -6.9829267451306451e-06, 6.2573174398808351e-06, -5.5689373821352581e-06, 4.9180657794274535e-06, -4.3049287996111013e-06, 3.7297092048403075e-06, -3.1925557403676577e-06, 2.693576648936632e-06, -2.232860072266686e-06, 1.8104636790452755e-06, -1.4264287724142713e-06, 1.0807797534313257e-06, -7.7352804834414354e-07, 5.0467539734068176e-07, -2.7421700305071166e-07, 8.2144533813500712e-08, 7.1557572326887716e-08, -1.8689569914267585e-07, 2.6389011311516244e-07, -3.0254355563758064e-07, 3.0286992521814852e-07, -2.6487256202660906e-07, 1.8855411090313057e-07}; +}; + +struct case_mz_zeta_6_100Hz_1000Hz_z50 +{ + static constexpr int order = 6; + static constexpr double cutoff_hz = 100.0; + static constexpr double sample_rate_hz = 1000.0; + + static constexpr double b[7] = {0, 0.00071327359336004724, 0.0035663679668002362, 0.0071327359336004724, 0.0071327359336004724, 0.0035663679668002362, 0.00071327359336004724}; + static constexpr double a[7] = {1, -3.7494765473618239, 6.2866557330120889, -5.9529093911011497, 3.3538559663515568, -1.0671368078937982, 0.15183580198064839}; + static constexpr double step[256] = {0, 0.00071327359336004724, 0.0069540441703162745, 0.033002297494776768, 0.10281482531448398, 0.23914375283468939, 0.44702522134660111, 0.7041958965662386, 0.9658341536220062, 1.1809135824584192, 1.3111100075614952, 1.3432819144158885, 1.2911333886084138, 1.1872082062266132, 1.0700325107982258, 0.97197208164640114, 0.91174485735918098, 0.89287578810637391, 0.9070156618030597, 0.93974654115143685, 0.97639283590171855, 1.0061054117532855, 1.0235590089461528, 1.0285397240929552, 1.0242413064431881, 1.015197322370498, 1.0055658468437412, 0.99813052076487752, 0.99404499034465921, 0.99312339343088929, 0.99439445527179149, 0.99666535320704408, 0.99893329387378971, 1.0005870787750011, 1.0014224953871782, 1.0015390030378928, 1.0011927205199216, 1.0006639012422318, 1.0001702173889644, 0.99983192783046337, 0.99967799138685265, 0.99967502788392915, 0.99976185473990531, 0.99987771076388954, 0.99997885649643015, 1.0000436579007377, 1.0000694470916347, 1.0000654120017822, 1.0000451342342176, 1.0000210018231095, 1.0000012779216303, 0.99998953859512507, 0.99998564858365258, 0.99998735973272967, 0.99999182509358986, 0.99999664164140067, 1.0000003291685879, 1.0000023497040718, 1.0000028564092576, 1.0000023567223377, 1.000001420220296, 1.0000004937441576, 0.99999982969150458, 0.99999949917847031, 0.99999945009217928, 0.99999957458275979, 0.9999997630864409, 0.99999993557123978, 1.000000051075038, 1.0000001022250524, 1.0000001027519376, 1.000000074516513, 1.0000000378876721, 1.0000000067107928, 0.99999998728315631, 0.99999997988322853, 0.99999998131589185, 0.99999998731939488, 0.99999999422069796, 0.99999999970364184, 1.0000000028621323, 1.0000000038358077, 1.0000000033127594, 1.0000000020967321, 1.0000000008317551, 0.99999999989230781, 0.99999999939714834, 0.99999999928862493, 0.99999999942647244, 0.99999999966344155, 0.99999999988956556, 1.0000000000464739, 1.0000000001209424, 1.0000000001286469, 1.0000000000969993, 1.0000000000522831, 1.0000000000127947, 0.99999999998725808, 0.99999999997662392, 0.9999999999772492, 0.99999999998395539, 0.99999999999216127, 0.99999999999890121, 1.0000000000029399, 1.0000000000043494, 1.0000000000039075, 1.0000000000025646, 1.0000000000010991, 0.99999999999997546, 0.99999999999935418, 0.99999999999918365, 0.99999999999931022, 0.99999999999956557, 0.99999999999982003, 1.0000000000000027, 1.0000000000000946, 1.0000000000001115, 1.000000000000083, 1.0000000000000382, 0.99999999999999678, 0.99999999999996925, 0.99999999999995814, 0.99999999999996081, 0.99999999999997147, 0.99999999999998301, 0.99999999999998967, 0.99999999999998923, 0.99999999999998301, 0.99999999999997458, 0.99999999999996747, 0.99999999999996347, 0.99999999999996303, 0.99999999999996614, 0.99999999999997236, 0.99999999999998079, 0.99999999999998967, 0.99999999999999722, 1.0000000000000018, 1.0000000000000027, 0.99999999999999944, 0.99999999999999234, 0.99999999999998301, 0.99999999999997413, 0.99999999999996836, 0.99999999999996703, 0.99999999999997014, 0.99999999999997591, 0.99999999999998168, 0.99999999999998568, 0.99999999999998834, 0.99999999999999056, 0.99999999999999234, 0.99999999999999278, 0.99999999999999101, 0.99999999999998701, 0.99999999999998257, 0.99999999999998035, 0.99999999999998124, 0.9999999999999839, 0.99999999999998612, 0.99999999999998612, 0.99999999999998346, 0.99999999999997902, 0.99999999999997458, 0.99999999999997191, 0.99999999999997147, 0.9999999999999728, 0.99999999999997502, 0.99999999999997768, 0.99999999999998079, 0.99999999999998435, 0.9999999999999879, 0.99999999999999056, 0.99999999999999145, 0.99999999999999056, 0.99999999999998879, 0.99999999999998745, 0.99999999999998745, 0.99999999999998879, 0.99999999999999101, 0.99999999999999323, 0.999999999999995, 0.99999999999999678, 0.999999999999999, 1.0000000000000022, 1.0000000000000058, 1.0000000000000071, 1.000000000000004, 0.99999999999999678, 0.99999999999998834, 0.99999999999998257, 0.99999999999998168, 0.99999999999998435, 0.99999999999998745, 0.99999999999998834, 0.99999999999998612, 0.99999999999998213, 0.99999999999997857, 0.99999999999997768, 0.99999999999998079, 0.99999999999998701, 0.99999999999999323, 0.99999999999999634, 0.999999999999995, 0.99999999999999056, 0.99999999999998479, 0.9999999999999799, 0.99999999999997813, 0.99999999999997946, 0.99999999999998213, 0.99999999999998346, 0.99999999999998168, 0.9999999999999768, 0.99999999999997058, 0.99999999999996525, 0.9999999999999617, 0.99999999999996037, 0.99999999999996081, 0.99999999999996259, 0.99999999999996481, 0.99999999999996658, 0.99999999999996747, 0.99999999999996836, 0.99999999999997058, 0.99999999999997458, 0.99999999999997946, 0.99999999999998435, 0.99999999999998834, 0.99999999999999056, 0.99999999999999056, 0.99999999999998879, 0.99999999999998657, 0.99999999999998523, 0.99999999999998523, 0.99999999999998657, 0.99999999999998923, 0.99999999999999278, 0.99999999999999589, 0.99999999999999678, 0.99999999999999456, 0.99999999999998967, 0.9999999999999839, 0.99999999999997946, 0.99999999999997813, 0.99999999999997946, 0.99999999999998168, 0.99999999999998213, 0.99999999999997902, 0.99999999999997324, 0.99999999999996747, 0.99999999999996347, 0.99999999999996214, 0.99999999999996392, 0.99999999999996836, 0.99999999999997369, 0.99999999999997768}; + static constexpr double impulse[256] = {0, 0.00071327359336004724, 0.0062407705769562272, 0.02604825332446049, 0.069812527819707204, 0.13632892752020542, 0.2078814685119118, 0.25717067521963777, 0.26163825705576815, 0.21507942883641373, 0.13019642510307639, 0.032171906854391918, -0.052148525807478155, -0.10392518238180551, -0.11717569542839351, -0.098060429151831052, -0.060227224287225378, -0.01886906925281015, 0.014139873696685248, 0.032730879348379045, 0.036646294750285649, 0.029712575851571749, 0.017453597192870887, 0.00498071514680265, -0.0042984176497707013, -0.0090439840726956149, -0.0096314755267605454, -0.0074353260788625544, -0.0040855304202122023, -0.00092159691376109132, 0.0012710618409107104, 0.0022708979352589875, 0.0022679406667487642, 0.0016537849012113696, 0.00083541661217446852, 0.00011650765070936146, -0.00034628251797819099, -0.00052881927769641201, -0.00049368385327237981, -0.0003382895585038665, -0.00015393644361150292, -2.9635029224854819e-06, 8.6826855979162414e-05, 0.00011585602398953636, 0.00010114573254698864, 6.4801404311892795e-05, 2.5789190895926067e-05, -4.0350898592194962e-06, -2.0277767573758598e-05, -2.413241111459053e-05, -1.9723901479524019e-05, -1.1739326498617358e-05, -3.8900114612401245e-06, 1.7111490888161279e-06, 4.4653608681875521e-06, 4.8165478120009933e-06, 3.6875271800025688e-06, 2.020535469794462e-06, 5.0670516977173867e-07, -4.9968693240784773e-07, -9.3650204650914755e-07, -9.2647613447454425e-07, -6.640526428282543e-07, -3.305130221637777e-07, -4.9086280318134858e-08, 1.2449058800652926e-07, 1.8850368482837524e-07, 1.7248479817149596e-07, 1.1550379330101739e-07, 5.115000645812931e-08, 5.2687552452291445e-10, -2.8235435289052532e-08, -3.6628851188339886e-08, -3.1176887811083151e-08, -1.9427641338230541e-08, -7.3999281773134206e-09, 1.4326676559429662e-09, 6.0035119315279835e-09, 6.9013141875248501e-09, 5.4829536024699103e-09, 3.1584969009117239e-09, 9.7367850185240753e-10, -5.230473985821973e-10, -1.2160279360713052e-09, -1.2649780477512451e-09, -9.3944810779455425e-10, -4.9516037529170844e-10, -1.0852492045765334e-10, 1.3784502866841151e-10, 2.3696624973294722e-10, 2.2612201839106396e-10, 1.5690788461882888e-10, 7.4469527271181956e-11, 7.7065821365837231e-12, -3.1645295350053975e-11, -4.471484994343279e-11, -3.9488925804483478e-11, -2.553933666988811e-11, -1.0638712548216634e-11, 6.2058855675514367e-13, 6.7036443460431181e-12, 8.2069243500917686e-12, 6.7450497274175004e-12, 4.0459444128023613e-12, 1.4159779421247686e-12, -4.3897781630014908e-13, -1.3444298173912551e-12, -1.4697461888007707e-12, -1.1275565100715016e-12, -6.2223593725169684e-13, -1.6818691281562246e-13, 1.3020752858571365e-13, 2.588035919469759e-13, 2.5739938658999363e-13, 1.8448475415544021e-13, 9.2476213294848332e-14, 1.5716551512617471e-14, -3.108804364350291e-14, -4.8216505242673166e-14, -4.4151491050644677e-14, -2.9526387672047116e-14, -1.3176429376797486e-14, -4.6262137507883024e-16, 6.6775890575658339e-15, 8.7402766831906173e-15, 7.4247440253157417e-15, 4.6165511114449071e-15, 1.7742171999905333e-15, -2.8893883806015606e-16, -1.343699841021191e-15, -1.547074576352635e-15, -1.2246875434235509e-15, -7.0350138466837731e-16, -2.1931898311984664e-16, 1.0851065047418916e-16, 2.5826822466329699e-16, 2.6804998372117284e-16, 1.9814125590938088e-16, 1.0407961009673986e-16, 2.3177216740709518e-17, -2.7762613808685351e-17, -4.7931555846086515e-17, -4.5536156268829936e-17, -3.1426684358468981e-17, -1.4853629039460427e-17, -1.5873044414898902e-18, 6.1354275480443256e-18, 8.6461610815178862e-18, 7.5925574673674366e-18, 4.8807543117540368e-18, 2.0223937886049026e-18, -1.1252606328153858e-19, -1.2506041496663222e-18, -1.5224175628361222e-18, -1.2432156087772896e-18, -7.4073204069407698e-19, -2.5730898504273464e-19, 7.9692444002839654e-20, 2.4173198712534524e-19, 2.6241731250775453e-19, 1.9992316272395727e-19, 1.0949729979597871e-19, 2.9233133627810252e-20, -2.2887339958552591e-20, -4.494857630314757e-20, -4.4363759642890956e-20, -3.1561526805707441e-20, -1.5683338402630193e-20, -2.5928058720216177e-21, 5.2896725038652847e-21, 8.1075056994460263e-21, 7.3650122111640487e-21, 4.8865839927000655e-21, 2.1576966481678906e-21, 6.029069070748309e-23, -1.1017797933412917e-21, -1.4259845596604254e-21, -1.2015030593515044e-21, -7.4073599284600725e-22, -2.8075946570192192e-22, 4.9255064822890424e-23, 2.1542177852685171e-22, 2.4540280960617609e-22, 1.9265180508221657e-22, 1.0963386398026333e-22, 3.3492330894487998e-23, -1.7452760970062072e-23, -4.0309787021721903e-23, -4.1415579064925675e-23, -3.0353256882285973e-23, -1.5775247039808793e-23, -3.3882308104073425e-24, 4.3150507929914527e-24, 7.2960378403441809e-24, 6.8644493629499965e-24, 4.6955226188479382e-24, 2.191456800153068e-24, 2.1047099286670402e-25, -9.2744082898101971e-25, -1.2856322714492654e-24, -1.1183667153005405e-24, -7.1218712441780331e-25, -2.9043211975575092e-25, 2.0933311255735064e-26, 1.8446437361530344e-25, 2.2145598506077168e-25, 1.7916862570904948e-25, 1.0566811120486731e-25, 3.5905810707960295e-26, -1.2157627418031889e-26, -3.4869745515057369e-26, -3.7391574154057578e-26, -2.822279779553971e-26, -1.5282058887444785e-26, -3.938895998863849e-27, 3.3376151625826756e-27, 6.3518304867469437e-27, 6.1993286416580769e-27, 4.3686598967351175e-27, 2.1421564733652464e-27, 3.2837920997350209e-28, -7.4966631925517656e-28, -1.1239594957547575e-27, -1.010360550958658e-27, -6.6375398522629929e-28, -2.8832773481111932e-28, -3.12807813662318e-30, 1.526326196899545e-28, 1.9416831976945306e-28, 1.6196195106624612e-28, 9.8798915213423758e-29, 3.6644164830719741e-29, -7.4312475343783715e-30, -2.9259538229303377e-29, -3.2854338860075241e-29, -2.5538387091142374e-29, -1.4364587171425229e-29, -4.2493144963906226e-30, 2.4379245076061003e-30, 5.3784753061961176e-30, 5.4565591666756804e-30, 3.9596122633776398e-30, 2.0305515610696507e-30, 4.1135418257423285e-31, -5.8291149467026997e-31, -9.5768484593334268e-31, -8.9072931723552707e-31, -6.0311034062900506e-31, -2.7698866314828878e-31, -2.2013902804163594e-32, 1.2243446411386113e-31, 1.6619658659126855e-31, 1.4302354623337262e-31, 9.0104383339171163e-32, 3.5995088234708045e-32, -3.4888791399701017e-33}; + static constexpr double chirp_in[4096] = {1, 0.99999992642979929, 0.99999882287700514, 0.99999404081958787, 0.9999811660875062, 0.99995401897637071, 0.99990465453387189, 0.99982336314626385, 0.99969867158853654, 0.99951734473821929, 0.99926438818900221, 0.998923052036508, 0.99847483614453059, 0.99789949723582638, 0.99717505818699503, 0.99627781994202647, 0.99518237649358454, 0.9938616334148932, 0.99228683045801158, 0.99042756876612315, 0.98825184327798898, 0.98572608093165093, 0.98281518530153245, 0.97948258832792745, 0.9756903098201305, 0.97139902543374301, 0.96656814383854717, 0.96115589380530031, 0.95511942194735522, 0.94841490185561306, 0.94099765536237645, 0.93282228666059408, 0.92384282998911005, 0.91401291157120323, 0.90328592646221384, 0.89161523092170281, 0.87895435087564089, 0.86525720697385833, 0.85047835667664762, 0.83457325372130264, 0.81749852522376165, 0.79921226656174948, 0.77967435406322239, 0.75884677538693723, 0.73669397733007314, 0.7131832306305963, 0.68828501114913054, 0.66197339661628929, 0.6342264779166199, 0.60502678364962148, 0.57436171646195799, 0.54222399938345511, 0.50861213012343165, 0.4735308409942906, 0.43699156182725674, 0.39901288293222104, 0.35962101483159181, 0.31885024116901001, 0.27674336086026408, 0.2333521152185779, 0.18873759545291671, 0.14297062560971868, 0.096132115709591626, 0.048313379525507044, -0.00038358883718521143, -0.049845885660697295, -0.099949521968676278, -0.15055930804420456, -0.20152880479580074, -0.25270034875965974, -0.30390515757424702, -0.35496352274746379, -0.4056850964493664, -0.45586927889726703, -0.50530571264738766, -0.55377488976053313, -0.60104887736125978, -0.64689216655377857, -0.69106264898686465, -0.73331272456861973, -0.77339054291489417, -0.81104138006864557, -0.8460091508484886, -0.87803805587175265, -0.9068743608505454, -0.93226830418043516, -0.95397612713425417, -0.97176221914417393, -0.9854013687119787, -0.99468110844139446, -0.99940414055107041, -0.99939082701909576, -0.99448172624942033, -0.98454015586016352, -0.96945475889963473, -0.94914204852736517, -0.92354890398720091, -0.89265498858333392, -0.85647505838693705, -0.81506112859245528, -0.7685044628528731, -0.71693734959881206, -0.66053462833527321, 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-0.70097765980614957, -0.77847193249159985, -0.84600915084848771, -0.90246139255836488, -0.94682218813969621, -0.97822728137500836, -0.99597429399523896, -0.99954088350734849, -0.98860097853545059, -0.9630386791909602, -0.92295942146047771, -0.86869802495628545, -0.80082327303127221, -0.72013871347380276, -0.6276794168385581, -0.52470448779900736, -0.41268519236054085, -0.29328863974147795, -0.16835704134703858, -0.039882659401103367, 0.09002134692995295, 0.21915387133951877, 0.34526219919889106, 0.46608122869670787, 0.57937497068616284, 0.68297963205683976, 0.7748475038260193, 0.85309080213204103, 0.91602455057213206, 0.96220754845479073, 0.99048044398756308, 0.99999992642979929, 0.99026806874157036, 0.96115589380530075, 0.91292030397297208, 0.84621360604462514, 0.7620849817471087, 0.66197339661628984, 0.54769160642970061, 0.42140110777252909, 0.2855780849582823, 0.14297062560971963, -0.0034522927617008812, -0.15055930804420603, -0.29512169978712482, -0.43388373911755923, -0.56363695259073099, -0.68129669877065169, -0.78397929272312616, -0.8690777846452038, -0.9343344109714895, -0.97790769530701704, -0.99843218742645046, -0.9950688952752843, -0.96754459005089155, -0.9161783491799238, -0.84189394582437793, -0.74621699410734765, -0.63125611230023981, -0.49966776553729064, -0.35460488704253801, -0.19964984230321187, -0.038732782291660182, 0.1239630836160234, 0.28410729153688535, 0.43733655464327453, 0.57937497068616117, 0.70615681024133081, 0.81394842128514178, 0.89946560517441376, 0.95998273974085324, 0.99342995728005579, 0.99847483614453048, 0.97458533851213081, 0.92207112396763224, 0.84210088492281143, 0.73669397733007302, 0.60868534583648282, 0.46166354924637748, 0.29988255844234957, 0.12814889944360713, -0.048313379525509959, -0.2240165573282355, -0.39337772332802823, -0.55089698145210475, -0.69133985418658528, -0.80991791317645134, -0.90246139255836466, -0.96557747552099782, -0.99678810088010106, -0.99464152469519274, -0.95879249417982837, -0.89004674065898659, -0.79036655916348131, -0.66283548908721601, -0.51158150864681218, -0.34165966256345809, -0.15889660674110515, 0.030298881123715433, 0.21915387133951658, 0.40077079795557791, 0.56838039236265869, 0.71559896074412133, 0.83668028795140859, 0.92675215601078997, 0.98202755565343003, 0.9999811660875062, 0.97948258832792812, 0.92087913039150737, 0.82602263024340583, 0.6982368180860713, 0.54222399938345556, 0.36391230372523414, 0.17024729818871898, -0.031065697601372073, -0.23185984575257096, -0.42383465395227493, -0.59890073081561812, -0.74952733250515868, -0.86907778464520447, -0.95211766591071434, -0.99468110844139468, -0.99448172624941999, -0.95105651629515231, -0.86583354565218051, -0.74211726695732327, -0.58498878606033655, -0.4011222042584015, -0.19852211184659407, 0.013808759593047724, 0.22625900242972455, 0.42903908336572988, 0.61263423194927435, 0.76825896913416514, 0.88829153315462384, 0.96666642869321839, 0.99920437022617881, 0.98386102377908657, 0.92087913039150748, 0.81283271986127859, 0.66455703958209811, 0.48296332366677897, 0.27674336086027079, 0.055974700631925785, -0.16835704134703514, -0.38489726725106244, -0.58249718413303753, -0.75079558121367618, -0.8807772378003631, -0.96527750388896616, -0.99940414055107052, -0.98085070531978158, -0.91008053699473446, -0.79036655916348153, -0.62767941683856299, -0.43042453941683434, -0.20903717243428122, 0.024547220293044292, 0.25752199792776376, 0.47690591218475858, 0.6702700665282546, 0.82645479681547807, 0.93623487063973665, 0.99289265158964735, 0.99266256453924517, 0.93501624268541406, 0.82276590205092304, 0.66197339661628929, 0.46166354924637809, 0.23335211521857976, -0.0095895741826257964, -0.2527003487596628, -0.48128300660049478, -0.68129669877065224, -0.84023397604037153, -0.9479273461671317, -0.99723238944639814, -0.98454015586016264, -0.91008053699473168, -0.77799016180242753, -0.59613248546922271, -0.37567331729755787, -0.13043111482230935, 0.12396308361602595, 0.37104727229943907, 0.59459149924435239, 0.77967435406322239, 0.91370141006883898, 0.98729522857459673, 0.99499250904629022, 0.93569463493371918, 0.81283271986127059, 0.63422647791661613, 0.41163671634210847, 0.16003264759379121, -0.1033839317883601, -0.36033676125160785, -0.59273942915648381, -0.78397929272312317, -0.9201297299918394, -0.99100117924590703, -0.99094976176793526, -0.91937694488673249, -0.78087390759575936, -0.58498878606034577, -0.34562217432566072, -0.080084217820004439, 0.19212671735369832, 0.45074058099674741, 0.67622628148098096, 0.8512844415843499, 0.9622075484547904, 0.99999882287700514, 0.96115589380530075, 0.84804809615642662, 0.66884549507132596, 0.43699156182726329, 0.17024729818871992, -0.110630256376269, -0.3834806669755868, -0.62648422584859709, -0.81992136714207986, -0.94780510850409849, -0.99924960424107578, -0.96945475889963539, -0.86021435641350186, -0.67989149721536402, -0.44284765362705225, -0.16835704134703849, 0.12091746343008787, 0.40077079795558007, 0.64747701163478444, 0.83981774665941822, 0.96094386528026088, 0.99990465453387189, 0.95270229095965364, 0.82276590205091937, 0.62078697520272341, 0.36391230372523531, 0.074347571843515148, -0.22252093395631911, -0.50033216089251542, -0.73409463523198404, -0.90246139255836555, -0.98972693214480445, -0.98735610690369835, -0.89489156836093631, -0.72013871347379788, -0.47859081942819004, -0.19212671735370601, 0.11291736677555103, 0.40813786714038369, 0.66570278481121115, 0.8609957613666358, 0.97501319700248934, 0.99627781994202547, 0.92207112396763291, 0.75884677538694123, 0.5217624778744816, 0.23335211521858765, -0.07855469695947305, -0.38348066697558636, -0.65126920047307302, -0.85508594369616242, -0.97415389500088145, -0.99593983608294245, -0.91755646763273546, -0.74621699410735365, -0.49867062121686356, -0.19964984230321028, 0.12053668025531283, 0.42903908336570928, 0.69383011851338472, 0.88705510950404576, 0.98801617809016951, 0.98546660117894946, 0.878954350875643, 0.67904717547725413, 0.40638618731229703, 0.089639308903445084, -0.23745301300756336, -0.53964301532054448, -0.78397929272311817, -0.94343906000553723, -0.9999855802751384, -0.9466986959828072, -0.78871871430905482, -0.54286844851759386, -0.23596226275400908, 0.098040999161486744, 0.42174894365151211, 0.69851136524894031, 0.89659687467502402, 0.99289265158964801, 0.97569030982012916, 0.84621360604462359, 0.6186796598453691, 0.31885024116900984, -0.018794746789845506, -0.3549635227474629, -0.65010409366874566, -0.86907778464520169, -0.98540136871197892, -0.98454015586016408, -0.86583354565218329, -0.64278760968653159, -0.3416596625634602, 0.0015343547843220864, 0.34526219919889184, 0.64747701163477833, 0.87078037014119347, 0.98711172199712383, 0.98137012613941121, 0.85349083557870198, 0.61867965984537487, 0.30573182735974569, -0.04639758733025956, -0.3933777233280325, -0.69106264898687253, -0.90113523457691125, -0.99611066011347471, -0.96303867919096187, 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-0.36033676125198227, 0.33841307983513402, -0.31703181849472845, 0.29622101515464083, -0.2760060647928777, 0.25640987367073959, -0.23745301300816751, 0.2191538713382635, -0.20152880479604404, 0.18459228461925636, -0.16835704134700888, 0.15283420512977428, -0.13803344170061341, 0.12396308361540023, -0.110630256377754, 0.098040999160336914, -0.086200379880266867, 0.075112604335562244, -0.064781119288953887, 0.055208709333225685, -0.046397587328288914, 0.038349478447046295, -0.03106569760236999, 0.024547220292490568, -0.018794746789342908, 0.013808759594209193, -0.0095895741816169593, 0.0061373830151254354, -0.0034522927602768901, 0.0015343547837478589, -0.00038358883724551112, -4.1594761818964385e-13}; + static constexpr double chirp[4096] = {0, 0.00071327359336004724, 0.0069540441178405927, 0.033002296196031275, 0.10281481180142818, 0.23914366641295953, 0.44702482357750489, 0.70419445921604729, 0.96582984400320249, 1.1809024431638337, 1.3110844852899179, 1.3432289746576445, 1.2910323296081909, 1.1870283301503171, 1.0697308101590257, 0.97149105995624574, 0.91101054232071954, 0.89179593481550079, 0.90547809933612733, 0.9376175965186756, 0.97351577334484141, 1.0022988450508894, 1.0186152698190685, 1.0222231924132643, 1.0162867226694621, 1.0053081082429647, 0.99341245861587624, 0.98334885332986666, 0.97623484379480507, 0.97184700823033132, 0.96917511944493218, 0.96698608474789938, 0.96423560325515756, 0.96026981902033426, 0.95484080981277353, 0.94800338293456443, 0.93996818651776881, 0.93096932295026258, 0.92117778632738712, 0.91066679890990321, 0.89941810841791592, 0.88735114892089584, 0.87435779349141074, 0.86033081080219376, 0.8451807154998936, 0.82884111960511619, 0.81126587895266267, 0.79242228675125403, 0.77228393352789038, 0.75082546002488326, 0.72801998374169774, 0.7038389117956475, 0.6782533082753861, 0.65123589989677111, 0.62276301185742933, 0.59281604549935907, 0.56138240374486092, 0.52845596679432816, 0.49403730488798037, 0.45813381045368773, 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-5.1148351671160934e-09, 5.0468308980164932e-09, -4.8304982002824533e-09, 4.4818053803640434e-09, -4.0171885762004846e-09, 3.4583112334669701e-09, -2.8255966894605647e-09, 2.1429464673030849e-09, -1.4320037915876993e-09, 7.1545198509093827e-10, -1.4150767255020902e-11, -6.5378708371567618e-10, 1.2696400575849809e-09, -1.821828279273234e-09, 2.2956994309014656e-09, -2.685739651400558e-09, 2.9837593864840556e-09, -3.188649136181762e-09, 3.2997619641588795e-09, -3.3193783641346196e-09, 3.253278650297434e-09, -3.1070529512135323e-09, 2.8904618497074797e-09, -2.6122567841214538e-09, 2.2839452887540163e-09, -1.9163729545845602e-09, 1.5213945275035362e-09, -1.1102926242246777e-09, 6.9440545696387856e-10, -2.8382795430343527e-10, -1.1125435512085446e-10, 4.8310193367408216e-10, -8.2327748166920872e-10, 1.1268612929707031e-09, -1.3878650288474265e-09, 1.603915727554743e-09, -1.7720918386128146e-09, 1.8919964967552966e-09, -1.9639676996784268e-09, 1.9889703704021634e-09, -1.9703988676138609e-09, 1.910063036393312e-09, -1.8137070932714447e-09, 1.68378372673268e-09, -1.5273407891615125e-09, 1.3473639046102884e-09, -1.1511459908669815e-09, 9.4218918425667195e-10, -7.2690941726192074e-10, 5.094864284150083e-10, -2.9460425722202532e-10, 8.6736937619270871e-11, 1.1081040598992509e-10, -2.9461051371908187e-10, 4.617816346322301e-10, -6.1074711293126333e-10, 7.3907413869478411e-10, -8.4650400935821352e-10, 9.3180570562029913e-10, -9.9524751580228749e-10, 1.0370590378203787e-09, -1.0578835074647255e-09, 1.0589769164652194e-09, -1.0414954749321526e-09, 1.0072753339968391e-09, -9.5788629271890101e-10, 8.9553565177900602e-10, -8.2191042729436972e-10, 7.3959504018621287e-10, -6.4986402327146808e-10, 5.5595540532902589e-10, -4.5814992853101741e-10, 3.6039320659708718e-10, -2.6207334230272245e-10, 1.6708783564644419e-10, -7.4762518766958996e-11, -1.2018389105097893e-11, 9.3356245802443671e-11, -1.6771093650121138e-10, 2.3479797999544777e-10, -2.9374595952261912e-10, 3.4484149249221913e-10, -3.8694367881283304e-10, 4.2133773607653385e-10, -4.4672704066755359e-10, 4.6463040056024529e-10, -4.7452864305064929e-10, 4.7717913984317989e-10, -4.7337481959459915e-10, 4.6293776440314155e-10, -4.4754066538853568e-10, 4.2673918110129605e-10, -4.0212257834551859e-10, 3.7381789810418849e-10, -3.4259490508175769e-10, 3.0943768048938541e-10, -2.7433388854559189e-10, 2.3866783938444099e-10, -2.0228379756827286e-10, 1.6610079994370738e-10, -1.3070430913801612e-10, 9.5793289045433688e-11, -6.2979697412063329e-11, 3.1033354759655435e-11, -1.7885315624355247e-12, -2.587240480449865e-11, 5.0846293972103829e-11, -7.3540419196979623e-11, 9.3624082661905583e-11, -1.1127443042512064e-10, 1.2607436741720462e-10, -1.3884250606860382e-10, 1.4847088001309489e-10, -1.5647856502296748e-10, 1.6150244683266202e-10, -1.6498032714279409e-10, 1.6605203540312474e-10, -1.6552508278963596e-10, 1.6325032721042215e-10, -1.5940992417144001e-10, 1.5442126245247823e-10, -1.479863166687842e-10, 1.4094040377051614e-10, -1.3260859088332771e-10, 1.2412929261936337e-10, -1.1460939852324034e-10, 1.0518392997956386e-10, -9.5186251567423719e-11, 8.5262608388522731e-11, -7.5245586996473823e-11, 6.5478920977793051e-11, -5.5545124082916411e-11, 4.6547357873509554e-11, -3.7052448914907726e-11, 2.8666727181609307e-11, -2.0611800975864e-11, 1.2221772530650321e-11, -6.2655039847776123e-12, -1.8997884591431119e-12, 6.4474175781245591e-12, -1.3146462325870634e-11, 1.7333612301571877e-11, -2.2091297487061151e-11, 2.5634321108945063e-11, -2.9349135914537999e-11, 3.1389364143954296e-11, -3.4635421917658671e-11, 3.5445901639188926e-11, -3.7538597881178748e-11, 3.8233148309634035e-11, -3.8561159799131717e-11, 3.933575763292313e-11, -3.8651132858516513e-11, 3.8584907838257188e-11, -3.7982787162889331e-11, 3.6723500217335225e-11, -3.6157452791389655e-11, 3.4439780671399745e-11, -3.3325251846266779e-11, 3.1688750148223255e-11, -3.0097726719767459e-11, 2.8349842005198633e-11, -2.675429561053988e-11, 2.4719368262385299e-11, -2.3214270024503325e-11, 2.1163349393261977e-11, -1.9501852715174406e-11, 1.7775307376184657e-11, -1.585085903678396e-11, 1.4476172214075711e-11, -1.2517512634063754e-11, 1.1209279923533877e-11, -9.5954450982094208e-12, 8.1266708857122283e-12, -6.9064186878145528e-12, 5.5151299109199026e-12, -4.302641359518744e-12, 3.3881709287156281e-12, -1.9965948382452692e-12, 1.4306150665152617e-12, -2.5286966531118393e-13, -4.1445210978430236e-13, 1.1319586218881683e-12, -1.8578092623317e-12, 2.3957229429438787e-12, -2.8995531561708254e-12, 3.3896530330854158e-12, -3.8139097457458304e-12, 3.9628494713159212e-12, -4.6004543490657523e-12, 4.397790345864877e-12, -4.9064355009398319e-12, 5.0300361749064382e-12, -4.7192142229625367e-12, 5.5616431327964316e-12, -4.6524089377004973e-12, 5.4592745797089892e-12, -4.9351543630806599e-12, 5.0346584811334499e-12, -4.9559599046150593e-12, 4.9396755945601417e-12, -4.4645301453156983e-12, 4.9314483703197243e-12, -4.146742072440833e-12, 4.3319571291656339e-12, -4.3193140172393188e-12, 3.4426656946202894e-12, -4.2636196493934381e-12, 3.0629610853942849e-12, -3.5591946463643317e-12, 3.0490538547212238e-12, -2.8564558826453014e-12, 2.6800443781544933e-12, -2.4963224846616394e-12, 2.2457511822664578e-12, -1.7843336468201416e-12, 2.3635142915078358e-12, -6.696737636673793e-13, 2.3873193613616452e-12, -2.0333682010560423e-13, 1.4661291818657686e-12, -5.1688595640648387e-13, 3.0846743243756209e-13, -4.2804900976716471e-13}; +}; + +struct case_tu_zeta_6_100Hz_1000Hz_z50 +{ + static constexpr int order = 6; + static constexpr double cutoff_hz = 100.0; + static constexpr double sample_rate_hz = 1000.0; + + static constexpr double b[7] = {0.00034088365061160923, 0.0020453019036696532, 0.0051132547591741326, 0.0068176730122321534, 0.0051132547591741387, 0.0020453019036696307, 0.00034088365061160739}; + static constexpr double a[7] = {1, -3.827584962218459, 6.5493226456051374, -6.3276747738130616, 3.6367379282643544, -1.1802012749133732, 0.17121699071454569}; + static constexpr double step[256] = {0.00034088365061160923, 0.0036909466892283893, 0.019394295345028824, 0.066534226682438927, 0.16919168166426241, 0.34301718785374108, 0.58142574469464181, 0.85162236404615643, 1.1039272582658435, 1.2895401411775564, 1.3778223379493992, 1.3655685128089021, 1.2754753430226278, 1.1459942596268538, 1.0177078917320368, 0.9215886656192267, 0.87262664597727113, 0.86964052238313228, 0.89982338379827942, 0.94541826233183679, 0.98995082358250119, 1.0223067012036631, 1.0380947685694282, 1.0387199227383199, 1.0291391374424235, 1.0153562072814237, 1.0024489509174259, 0.99350979310940568, 0.98949172164862942, 0.98969533276204835, 0.99254030489446343, 0.99630719880482088, 0.9996536588147138, 1.0018418960089566, 1.0027180391750274, 1.0025389628583041, 1.0017502294410043, 1.00079455779046, 0.99999246272274567, 0.99950114466537165, 0.99933364309336215, 0.9994102444102646, 0.99961573263674453, 0.99984446268777383, 1.0000254833430451, 1.0001284485609858, 1.0001561006377448, 1.0001305994792467, 1.0000798594073346, 1.0000276569582316, 0.99998876022702277, 0.99996845034438131, 0.99996483700408856, 0.99997222610723968, 0.99998419450981002, 0.99999564061969348, 1.0000036532929544, 1.0000074310694789, 1.0000076538590665, 1.0000056998002864, 1.0000029854214585, 1.0000005614228855, 0.99999897246020009, 0.99999831292953667, 0.99999838403097341, 0.99999886772003066, 0.9999994627016342, 0.99999996038947625, 1.0000002643337207, 1.0000003708244911, 1.0000003318893462, 1.0000002181016967, 1.0000000915428924, 0.99999999221515878, 0.99999993613006399, 0.99999992079754385, 0.99999993355204042, 0.99999995924679519, 0.99999998545222901, 1.0000000047540727, 1.00000001471623, 1.0000000164856657, 1.000000012987639, 1.0000000073798914, 1.0000000020853705, 0.99999999843028853, 0.99999999673567919, 0.99999999664829931, 0.99999999751965385, 0.99999999870829637, 0.99999999975386178, 1.0000000004283076, 1.0000000007015362, 1.0000000006667289, 1.0000000004629128, 1.0000000002173346, 1.000000000015274, 0.99999999989413135, 0.9999999998532334, 0.99999999987004085, 0.99999999991558264, 0.99999999996517008, 1.0000000000034133, 1.000000000024551, 1.0000000000299782, 1.0000000000248384, 1.0000000000150191, 1.0000000000052114, 0.99999999999811884, 0.99999999999455058, 0.99999999999399902, 0.99999999999533751, 0.99999999999739364, 0.99999999999929345, 1.0000000000005769, 1.0000000000011497, 1.0000000000011546, 1.0000000000008318, 1.0000000000004112, 1.0000000000000528, 0.99999999999983125, 0.99999999999975087, 0.99999999999977351, 0.99999999999984768, 0.99999999999992895, 0.99999999999998979, 1.0000000000000209, 1.0000000000000262, 1.0000000000000155, 0.99999999999999956, 0.99999999999998623, 0.99999999999997868, 0.99999999999997646, 0.9999999999999778, 0.99999999999998135, 0.99999999999998623, 0.99999999999999201, 0.99999999999999822, 1.0000000000000044, 1.0000000000000093, 1.0000000000000102, 1.0000000000000058, 0.99999999999999734, 0.99999999999998801, 0.99999999999998135, 0.99999999999997868, 0.99999999999998002, 0.99999999999998401, 0.99999999999998801, 0.99999999999999023, 0.99999999999999023, 0.9999999999999889, 0.99999999999998712, 0.9999999999999849, 0.99999999999998224, 0.99999999999997913, 0.99999999999997558, 0.99999999999997158, 0.99999999999996714, 0.99999999999996358, 0.99999999999996314, 0.99999999999996758, 0.99999999999997735, 0.99999999999999023, 1.0000000000000022, 1.0000000000000098, 1.0000000000000111, 1.0000000000000067, 0.99999999999999867, 0.99999999999999023, 0.99999999999998357, 0.99999999999997957, 0.99999999999997735, 0.99999999999997602, 0.99999999999997513, 0.99999999999997558, 0.99999999999997735, 0.99999999999997957, 0.99999999999998179, 0.9999999999999849, 0.9999999999999889, 0.99999999999999156, 0.99999999999999023, 0.99999999999998446, 0.99999999999997646, 0.9999999999999698, 0.99999999999996758, 0.99999999999997069, 0.9999999999999778, 0.99999999999998579, 0.99999999999999156, 0.99999999999999378, 0.99999999999999245, 0.99999999999998845, 0.99999999999998357, 0.99999999999997913, 0.99999999999997602, 0.99999999999997513, 0.99999999999997735, 0.99999999999998224, 0.99999999999998801, 0.99999999999999334, 0.99999999999999645, 0.999999999999996, 0.99999999999999245, 0.99999999999998757, 0.99999999999998401, 0.99999999999998357, 0.99999999999998579, 0.9999999999999889, 0.99999999999999112, 0.99999999999999201, 0.99999999999999156, 0.99999999999999023, 0.9999999999999889, 0.99999999999998801, 0.99999999999998757, 0.99999999999998712, 0.99999999999998668, 0.99999999999998579, 0.99999999999998357, 0.99999999999997957, 0.99999999999997469, 0.99999999999997113, 0.99999999999997069, 0.99999999999997424, 0.99999999999998046, 0.99999999999998623, 0.99999999999998845, 0.99999999999998623, 0.9999999999999809, 0.99999999999997558, 0.99999999999997335, 0.99999999999997558, 0.99999999999998046, 0.9999999999999849, 0.99999999999998623, 0.99999999999998312, 0.99999999999997691, 0.99999999999997069, 0.99999999999996758, 0.99999999999996891, 0.9999999999999738, 0.99999999999998002, 0.99999999999998535, 0.99999999999998801, 0.99999999999998845, 0.99999999999998801, 0.99999999999998845, 0.99999999999999023, 0.99999999999999289, 0.99999999999999556, 0.99999999999999689, 0.99999999999999556, 0.99999999999999067, 0.99999999999998312}; + static constexpr double impulse[256] = {0.00034088365061160923, 0.0033500630386167803, 0.015703348655800437, 0.04713993133741011, 0.10265745498182344, 0.17382550618947856, 0.23840855684090073, 0.27019661935151473, 0.25230489421968694, 0.18561288291171252, 0.088282196771843346, -0.012253825140495833, -0.090093169786274963, -0.12948108339577871, -0.12828636789482578, -0.096119226112819922, -0.048962019641961951, -0.0029861235941394948, 0.030182861415151779, 0.045594878533564726, 0.044532561250671648, 0.032355877621166818, 0.015788067365767045, 0.00062515416889064035, -0.0095807852958997696, -0.013782930161003078, -0.012907256363998913, -0.0089391578080182874, -0.004018071460772682, 0.00020361111342175574, 0.002844972132415149, 0.0037668939103543105, 0.0033464600098878274, 0.0021882371942383346, 0.00087614316606952555, -0.00017907631672125189, -0.00078873341729593371, -0.00095567165054109837, -0.00080209506771351628, -0.00049131805737622544, -0.0001675015720135804, 7.6601316898633671e-05, 0.00020548822647771059, 0.00022873005102817508, 0.00018102065527073681, 0.00010296521794154654, 2.7652076762316039e-05, -2.550115849241487e-05, -5.0740071905961415e-05, -5.2202449100031658e-05, -3.8896731211448149e-05, -2.0309882649603619e-05, -3.613340303918448e-06, 7.3891031400766726e-06, 1.1968402562067033e-05, 1.1446109879556068e-05, 8.0126732612308002e-06, 3.7777765287030823e-06, 2.2278959487545594e-07, -1.9540587718482833e-06, -2.7143788211574447e-06, -2.4239985699938087e-06, -1.5889626875223053e-06, -6.5953066941090285e-07, 7.1101429736304609e-08, 4.8368905235214761e-07, 5.9498160291069826e-07, 4.9768784676817765e-07, 3.0394425400171713e-07, 1.064907826574174e-07, -3.8935132704426136e-08, -1.1378764061393155e-07, -1.2655880162676519e-07, -9.9327739173270364e-08, -5.6085107588578902e-08, -1.5332535577608869e-08, 1.2754484859476733e-08, 2.5694751202304154e-08, 2.6205438928247369e-08, 1.930185493352987e-08, 9.9621705428678907e-09, 1.7694470244581171e-09, -3.4980198282158287e-09, -5.6077457908342644e-09, -5.2945237389581e-09, -3.6550890191680319e-09, -1.694618966787986e-09, -8.739013748494561e-11, 8.7134560642142206e-10, 1.1886364185092397e-09, 1.0455637722844358e-09, 6.7444927683634474e-10, 2.7323609191489368e-10, -3.4797333412267907e-11, -2.0380578237186654e-10, -2.4557017732968705e-10, -2.0205754609351472e-10, -1.2114561864776605e-10, -4.0905602036700193e-11, 1.6798067592209864e-11, 4.5533059538940221e-11, 4.9580422821288395e-11, 3.8237717221550823e-11, 2.1133492737880037e-11, 5.4249127058810099e-12, -5.1388534415040312e-12, -9.8147446284737976e-12, -9.8014592276433195e-12, -7.0871395764074339e-12, -3.5654829048149314e-12, -5.5173589554948021e-13, 1.3363910219861435e-12, 2.0542560051214301e-12, 1.8998302045188571e-12, 1.2859940039763644e-12, 5.775221618385465e-13, 1.0519368754462735e-14, -3.1832523197091359e-13, -4.1930386784736142e-13, -3.6139158228785907e-13, -2.282070280412935e-13, -8.8631411707951344e-14, 1.5998139689190156e-14, 7.1616299303640078e-14, 8.3716038341499718e-14, 6.7498393912177834e-14, 3.9526116416001875e-14, 1.2555189488219502e-14, -6.3761478546942758e-15, -1.5458946037127002e-14, -1.6383868378612731e-14, -1.2379245510574251e-14, -6.6600699613049591e-15, -1.5427655150838406e-15, 1.812913967415043e-15, 3.2310382215367784e-15, 3.1477207152530655e-15, 2.22853462796151e-15, 1.0858764379155179e-15, 1.3195678067259352e-16, -4.4979856620089449e-16, -6.5765786216254316e-16, -5.9425770216494823e-16, -3.9343982085445427e-16, -1.6976940935476474e-16, 4.9712259527676988e-18, 1.0334723166259991e-16, 1.3086255949850057e-16, 1.1030518858068357e-16, 6.8011490235347799e-17, 2.5038861782889215e-17, -6.4089204245534014e-18, -2.2565386285401025e-17, -2.5522607012386492e-17, -2.013416878011052e-17, -1.1482141234256284e-17, -3.3689585857222149e-18, 2.1874518589139686e-18, 4.7462586166400969e-18, 4.8877766837509447e-18, 3.6131789732404495e-18, 1.885603210258903e-18, 3.7925053713698708e-19, -5.8334001534239525e-19, -9.6939859226800565e-19, -9.2023614156796277e-19, -6.3704489453838442e-19, -2.9925965641352736e-19, -2.412836297378887e-20, 1.3903172292299538e-19, 1.9324135949523558e-19, 1.7045548563610203e-19, 1.1021518217557542e-19, 4.5398550578756383e-20, -4.0326815319402931e-21, -3.1002182692566025e-20, -3.772304840462849e-20, -3.1073780392432184e-20, -1.8674327399625507e-20, -6.4501083481072181e-21, 2.2815702561266168e-21, 6.6061806020817535e-21, 7.2279362334964861e-21, 5.5748142061134635e-21, 3.0892138732602355e-21, 8.2113412232828033e-22, -6.9381720585959549e-22, -1.3607849808180829e-21, -1.3614216382930421e-21, -9.8384509777822379e-22, -4.9655694839963145e-22, -8.2345999439930031e-23, 1.7540038446913476e-22, 2.7284425556251607e-22, 2.5233292126196991e-22, 1.7064189414510016e-22, 7.6955247673587953e-23, 2.4883264966880723e-24, -4.0403149303796371e-23, -5.3487345942726441e-23, -4.6046749914652824e-23, -2.9043451666701836e-23, -1.1345440845965421e-23, 1.8300066630605962e-24, 8.7837758390664974e-24, 1.0282016097052093e-23, 8.2744574804533358e-24, 4.8393989544335758e-24, 1.5503904781071752e-24, -7.4216072695777788e-25, -1.83366453629471e-24, -1.9420463458125232e-24, -1.4638651763648311e-24, -7.8658349664629405e-25, -1.8482234697132232e-25, 2.0699402960970944e-25, 3.7114682757680697e-25, 3.6088344752429403e-25, 2.5480481761819849e-25, 1.2400722246739063e-25, 1.5577903779174666e-26, -5.0067000441357626e-26, -7.3272925211429698e-26, -6.6031674719157493e-26, -4.3587698035719023e-26, -1.8786637535244173e-26, 4.5357077413521851e-28, 1.1202471326017548e-26, 1.416403474775684e-26, 1.1901060722197561e-26, 7.3145056240853622e-27, 2.6898545956991418e-27, -6.7073907700781373e-28, -2.3829041780659366e-27, -2.6877728999448836e-27, -2.1128607453204115e-27, -1.2008003291803015e-27, -3.5186925234214418e-28, 2.2538471623571732e-28, 4.887119508782789e-28, 5.0154264000985273e-28, 3.6935383805620379e-28, 1.9203464217067828e-28, 3.8538200160052012e-29, -5.8827998566898428e-29, -9.7433146941115672e-29, -9.2133325554917267e-29, -6.3524915597418872e-29, -2.9716149179193493e-29, -2.374090009652365e-30, 1.3714999753535024e-29, 1.8979692616442099e-29, 1.6672409282220748e-29, 1.0734441276788317e-29, 4.3994663159112436e-30, -3.9762785894187362e-31}; + static constexpr double chirp_in[4096] = {1, 0.99999992642979929, 0.99999882287700514, 0.99999404081958787, 0.9999811660875062, 0.99995401897637071, 0.99990465453387189, 0.99982336314626385, 0.99969867158853654, 0.99951734473821929, 0.99926438818900221, 0.998923052036508, 0.99847483614453059, 0.99789949723582638, 0.99717505818699503, 0.99627781994202647, 0.99518237649358454, 0.9938616334148932, 0.99228683045801158, 0.99042756876612315, 0.98825184327798898, 0.98572608093165093, 0.98281518530153245, 0.97948258832792745, 0.9756903098201305, 0.97139902543374301, 0.96656814383854717, 0.96115589380530031, 0.95511942194735522, 0.94841490185561306, 0.94099765536237645, 0.93282228666059408, 0.92384282998911005, 0.91401291157120323, 0.90328592646221384, 0.89161523092170281, 0.87895435087564089, 0.86525720697385833, 0.85047835667664762, 0.83457325372130264, 0.81749852522376165, 0.79921226656174948, 0.77967435406322239, 0.75884677538693723, 0.73669397733007314, 0.7131832306305963, 0.68828501114913054, 0.66197339661628929, 0.6342264779166199, 0.60502678364962148, 0.57436171646195799, 0.54222399938345511, 0.50861213012343165, 0.4735308409942906, 0.43699156182725674, 0.39901288293222104, 0.35962101483159181, 0.31885024116901001, 0.27674336086026408, 0.2333521152185779, 0.18873759545291671, 0.14297062560971868, 0.096132115709591626, 0.048313379525507044, -0.00038358883718521143, -0.049845885660697295, -0.099949521968676278, -0.15055930804420456, -0.20152880479580074, -0.25270034875965974, -0.30390515757424702, -0.35496352274746379, -0.4056850964493664, -0.45586927889726703, -0.50530571264738766, -0.55377488976053313, -0.60104887736125978, -0.64689216655377857, -0.69106264898686465, -0.73331272456861973, -0.77339054291489417, -0.81104138006864557, -0.8460091508484886, -0.87803805587175265, -0.9068743608505454, -0.93226830418043516, -0.95397612713425417, -0.97176221914417393, -0.9854013687119787, -0.99468110844139446, -0.99940414055107041, -0.99939082701909576, -0.99448172624942033, -0.98454015586016352, -0.96945475889963473, -0.94914204852736517, -0.92354890398720091, -0.89265498858333392, -0.85647505838693705, -0.81506112859245528, -0.7685044628528731, -0.71693734959881206, -0.66053462833527321, -0.59951492826162256, -0.53414158132492895, -0.46472317204376912, -0.39161368717798556, 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-0.94682218813969621, -0.97822728137500836, -0.99597429399523896, -0.99954088350734849, -0.98860097853545059, -0.9630386791909602, -0.92295942146047771, -0.86869802495628545, -0.80082327303127221, -0.72013871347380276, -0.6276794168385581, -0.52470448779900736, -0.41268519236054085, -0.29328863974147795, -0.16835704134703858, -0.039882659401103367, 0.09002134692995295, 0.21915387133951877, 0.34526219919889106, 0.46608122869670787, 0.57937497068616284, 0.68297963205683976, 0.7748475038260193, 0.85309080213204103, 0.91602455057213206, 0.96220754845479073, 0.99048044398756308, 0.99999992642979929, 0.99026806874157036, 0.96115589380530075, 0.91292030397297208, 0.84621360604462514, 0.7620849817471087, 0.66197339661628984, 0.54769160642970061, 0.42140110777252909, 0.2855780849582823, 0.14297062560971963, -0.0034522927617008812, -0.15055930804420603, -0.29512169978712482, -0.43388373911755923, -0.56363695259073099, -0.68129669877065169, -0.78397929272312616, -0.8690777846452038, -0.9343344109714895, -0.97790769530701704, -0.99843218742645046, -0.9950688952752843, -0.96754459005089155, -0.9161783491799238, -0.84189394582437793, -0.74621699410734765, -0.63125611230023981, -0.49966776553729064, -0.35460488704253801, -0.19964984230321187, -0.038732782291660182, 0.1239630836160234, 0.28410729153688535, 0.43733655464327453, 0.57937497068616117, 0.70615681024133081, 0.81394842128514178, 0.89946560517441376, 0.95998273974085324, 0.99342995728005579, 0.99847483614453048, 0.97458533851213081, 0.92207112396763224, 0.84210088492281143, 0.73669397733007302, 0.60868534583648282, 0.46166354924637748, 0.29988255844234957, 0.12814889944360713, -0.048313379525509959, -0.2240165573282355, -0.39337772332802823, -0.55089698145210475, -0.69133985418658528, -0.80991791317645134, -0.90246139255836466, -0.96557747552099782, -0.99678810088010106, -0.99464152469519274, -0.95879249417982837, -0.89004674065898659, -0.79036655916348131, -0.66283548908721601, -0.51158150864681218, -0.34165966256345809, -0.15889660674110515, 0.030298881123715433, 0.21915387133951658, 0.40077079795557791, 0.56838039236265869, 0.71559896074412133, 0.83668028795140859, 0.92675215601078997, 0.98202755565343003, 0.9999811660875062, 0.97948258832792812, 0.92087913039150737, 0.82602263024340583, 0.6982368180860713, 0.54222399938345556, 0.36391230372523414, 0.17024729818871898, -0.031065697601372073, -0.23185984575257096, -0.42383465395227493, -0.59890073081561812, -0.74952733250515868, -0.86907778464520447, -0.95211766591071434, -0.99468110844139468, -0.99448172624941999, -0.95105651629515231, -0.86583354565218051, -0.74211726695732327, -0.58498878606033655, -0.4011222042584015, -0.19852211184659407, 0.013808759593047724, 0.22625900242972455, 0.42903908336572988, 0.61263423194927435, 0.76825896913416514, 0.88829153315462384, 0.96666642869321839, 0.99920437022617881, 0.98386102377908657, 0.92087913039150748, 0.81283271986127859, 0.66455703958209811, 0.48296332366677897, 0.27674336086027079, 0.055974700631925785, -0.16835704134703514, -0.38489726725106244, -0.58249718413303753, -0.75079558121367618, -0.8807772378003631, -0.96527750388896616, -0.99940414055107052, -0.98085070531978158, -0.91008053699473446, -0.79036655916348153, -0.62767941683856299, -0.43042453941683434, -0.20903717243428122, 0.024547220293044292, 0.25752199792776376, 0.47690591218475858, 0.6702700665282546, 0.82645479681547807, 0.93623487063973665, 0.99289265158964735, 0.99266256453924517, 0.93501624268541406, 0.82276590205092304, 0.66197339661628929, 0.46166354924637809, 0.23335211521857976, -0.0095895741826257964, -0.2527003487596628, -0.48128300660049478, -0.68129669877065224, -0.84023397604037153, -0.9479273461671317, -0.99723238944639814, -0.98454015586016264, -0.91008053699473168, -0.77799016180242753, -0.59613248546922271, -0.37567331729755787, -0.13043111482230935, 0.12396308361602595, 0.37104727229943907, 0.59459149924435239, 0.77967435406322239, 0.91370141006883898, 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0.25640987367073959, -0.23745301300816751, 0.2191538713382635, -0.20152880479604404, 0.18459228461925636, -0.16835704134700888, 0.15283420512977428, -0.13803344170061341, 0.12396308361540023, -0.110630256377754, 0.098040999160336914, -0.086200379880266867, 0.075112604335562244, -0.064781119288953887, 0.055208709333225685, -0.046397587328288914, 0.038349478447046295, -0.03106569760236999, 0.024547220292490568, -0.018794746789342908, 0.013808759594209193, -0.0095895741816169593, 0.0061373830151254354, -0.0034522927602768901, 0.0015343547837478589, -0.00038358883724551112, -4.1594761818964385e-13}; + static constexpr double chirp[4096] = {0.00034088365061160923, 0.0036909466641495111, 0.019394294697302032, 0.066534219552317003, 0.16919163332759249, 0.34301695246365332, 0.58142484785392556, 0.85161954062677125, 1.1039196292042364, 1.289521947364656, 1.3777832201881752, 1.3654914112372749, 1.2753341576740918, 1.1457514432494647, 1.0173121298242134, 0.92097274664087758, 0.87170555706893749, 0.86830974441286313, 0.89795731982626892, 0.94286872147145862, 0.98654549419221016, 1.0178475738400439, 1.0323564990864988, 1.0314481503973945, 1.0200487871076478, 1.004129808230793, 0.98873500014735449, 0.97692118230799463, 0.96960423812337504, 0.96604623817847624, 0.96462699280097886, 0.96358593233387912, 0.96153839259539731, 0.95770318989827963, 0.95188207481830689, 0.94428667666242794, 0.93531657708972515, 0.92536792609769525, 0.91471424473629126, 0.9034654938474852, 0.89158742237834621, 0.8789531861053298, 0.86540082550336495, 0.85077858304696441, 0.83497028758488478, 0.81790154490516842, 0.79953251831315009, 0.77984457362457127, 0.75882694992751731, 0.73646721930525838, 0.71274678561644866, 0.68764079227493524, 0.66112084011373295, 0.63315877236352114, 0.6037301804775147, 0.57281689805378178, 0.54040832354823654, 0.50650180178097592, 0.47110246401170813, 0.43422291665978396, 0.39588305382887146, 0.3561101226549932, 0.31493904621989866, 0.27241293205086692, 0.22858366716023495, 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1.2125312554142273e-13, 2.5163051709572309e-14, -4.1829623667827623e-13, -4.3563558386723947e-13, -6.3379329724982253e-13, -3.093999767489735e-13, -2.8421839195851527e-13, 7.7600706622268228e-14, -5.6669655133876479e-14, 1.1949624029541396e-13, -8.2103655742616494e-14, 2.3612769657860126e-13, 3.0044234244561152e-13, 8.3849702355032196e-13, 8.9011949226051445e-13, 1.1283512610317428e-12, 7.0152067867186889e-13, 5.1131389331153954e-13, -8.5148987156891012e-14, -1.0903407187218365e-13, -2.9438568844048255e-13}; +}; + +struct case_tupw_zeta_6_100Hz_1000Hz_z50 +{ + static constexpr int order = 6; + static constexpr double cutoff_hz = 100.0; + static constexpr double sample_rate_hz = 1000.0; + + static constexpr double b[7] = {0.00040197539532452165, 0.0024118523719471271, 0.006029630929867821, 0.0080395079064903598, 0.0060296309298678531, 0.0024118523719470911, 0.00040197539532452881}; + static constexpr double a[7] = {1, -3.7515492925462275, 6.3285439779964108, -6.0501626063202778, 3.453634002019621, -1.1172636650027845, 0.16252400915402768}; + static constexpr double step[256] = {0.00040197539532452165, 0.0043218582772223488, 0.022513204092154303, 0.076423307819883934, 0.19190227118181691, 0.38333855646561654, 0.63876234960522071, 0.91765254293243159, 1.1641359924464965, 1.3283253311781613, 1.3847158022806791, 1.3395310088625241, 1.2253384087782067, 1.0870754794391218, 0.96630408432526393, 0.88971352607382204, 0.86490546487609943, 0.88312686287990627, 0.92628199908942022, 0.97482620727652791, 1.0138098078023186, 1.0357407612567968, 1.0403547026581985, 1.0323305729963361, 1.0183018043850507, 1.0042922151264206, 0.9942009618171721, 0.98943018771321189, 0.98937032831018601, 0.99229836721901976, 0.99627701552330161, 0.99978954024640054, 1.0020196014903893, 1.002824200046295, 1.0025213212737207, 1.0016237001783921, 1.0006169391548081, 0.99983010217004264, 0.99940136492882581, 0.99931229330325766, 0.99945425723353387, 0.99969512002333683, 0.99992662583633618, 1.0000862135643331, 1.000156951265615, 1.0001542525948348, 1.0001084917980239, 1.0000502206081194, 1.0000012593715317, 0.99997190645249634, 0.99996262003684078, 0.99996787847302193, 0.99998021244872048, 0.99999316349315959, 1.0000027425685112, 1.0000075747114334, 1.0000082243462727, 1.0000062335312239, 1.0000032714420579, 1.000000597419614, 0.999998864996406, 0.9999981832935767, 0.9999983114229567, 0.99999887406634591, 0.99999952654355906, 1.0000000422055539, 1.000000328996782, 1.000000399894873, 1.00000032512, 1.0000001876884801, 1.0000000538836702, 0.99999996100751498, 0.99999991873106597, 0.99999991793113741, 0.99999994128100256, 0.9999999717630812, 0.99999999749447777, 1.0000000130137112, 1.0000000181494568, 1.0000000158254607, 1.0000000098937492, 1.000000003617181, 0.99999999896898895, 0.99999999660675187, 0.99999999624149472, 0.99999999712580689, 0.99999999846759269, 0.99999999968023379, 1.0000000004658653, 1.0000000007787107, 1.0000000007304741, 1.0000000004902432, 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0.99999999999998246, 0.99999999999998423, 0.99999999999998468, 0.99999999999998335, 0.99999999999998068, 0.99999999999997846, 0.99999999999997891, 0.99999999999998201, 0.99999999999998512, 0.99999999999998512, 0.99999999999998024, 0.9999999999999718, 0.99999999999996425, 0.99999999999996159, 0.99999999999996514, 0.99999999999997313, 0.99999999999998113, 0.99999999999998512, 0.9999999999999829, 0.99999999999997491, 0.99999999999996469, 0.99999999999995759, 0.99999999999995803, 0.99999999999996647, 0.99999999999997935, 0.99999999999999134, 0.99999999999999845, 0.99999999999999933, 0.99999999999999489, 0.9999999999999869, 0.99999999999997624, 0.99999999999996336, 0.99999999999995004, 0.99999999999993938, 0.9999999999999345, 0.99999999999993761, 0.99999999999994915, 0.99999999999996692, 0.99999999999998601, 1.0000000000000011, 1.0000000000000087, 1.0000000000000078, 1.0000000000000007, 0.99999999999999134, 0.99999999999998335, 0.99999999999997891, 0.99999999999997846, 0.99999999999998068, 0.9999999999999829, 0.9999999999999829, 0.99999999999998024, 0.99999999999997669, 0.99999999999997491, 0.9999999999999758, 0.99999999999997846, 0.99999999999998068, 0.99999999999998024, 0.99999999999997624, 0.99999999999996958, 0.99999999999996203, 0.99999999999995581, 0.99999999999995404, 0.99999999999995848, 0.99999999999996825, 0.99999999999998068, 0.99999999999999178, 0.99999999999999889, 1.0000000000000011, 0.99999999999999845, 0.99999999999999134, 0.99999999999998157, 0.99999999999997136, 0.99999999999996247, 0.99999999999995581, 0.99999999999995137, 0.99999999999994915, 0.99999999999994915, 0.99999999999995137, 0.99999999999995581, 0.99999999999996203, 0.99999999999996914, 0.99999999999997624, 0.99999999999998201, 0.99999999999998512, 0.99999999999998468, 0.99999999999998068, 0.99999999999997446, 0.99999999999996914, 0.99999999999996692, 0.99999999999996825, 0.99999999999997269, 0.99999999999997891, 0.99999999999998557, 0.9999999999999909, 0.99999999999999267, 0.99999999999999001, 0.99999999999998379, 0.9999999999999758, 0.9999999999999678, 0.99999999999996159, 0.99999999999995803, 0.99999999999995759, 0.99999999999995981, 0.99999999999996336, 0.99999999999996603, 0.99999999999996647, 0.99999999999996514, 0.99999999999996425, 0.99999999999996603, 0.9999999999999718, 0.99999999999998024, 0.99999999999998868, 0.99999999999999445, 0.99999999999999578, 0.99999999999999267, 0.99999999999998646}; + static constexpr double impulse[256] = {0.00040197539532452165, 0.0039198828818978269, 0.018191345814931953, 0.053910103727729634, 0.11547896336193303, 0.19143628528379986, 0.25542379313960462, 0.27889019332721177, 0.24648344951406642, 0.1641893387316663, 0.056390471102518047, -0.045184793418156566, -0.11419260008432111, -0.13826292933908924, -0.12077139511386037, -0.076590558251440954, -0.024808061197717224, 0.018221398003815129, 0.043155136209521647, 0.048544208187111915, 0.038983600525790002, 0.021930953454473129, 0.0046139414013943725, -0.0080241296618681623, -0.014028768611286633, -0.014009589258626387, -0.010091253309242071, -0.0047707741039539897, -5.9859403021427643e-05, 0.0029280389088372169, 0.0039786483042856041, 0.0035125247231031359, 0.0022300612439924272, 0.00080459855590660906, -0.00030287877257786401, -0.00089762109533557703, -0.0010067610235923972, -0.0007868369847741064, -0.00042873724122451757, -8.9071625572812547e-05, 0.00014196393027583721, 0.00024086278980589983, 0.0002315058130032639, 0.00015958772800021349, 7.0737701284163414e-05, -2.69867077762765e-06, -4.5760796806947567e-05, -5.8271189899004844e-05, -4.8961236582545961e-05, -2.9352919032109867e-05, -9.2864156548020597e-06, 5.258436179826608e-06, 1.2333975696199472e-05, 1.2951044437510439e-05, 9.5790753517492451e-06, 4.8321429238897817e-06, 6.4963484099968846e-07, -1.9908150478453814e-06, -2.9620891665239626e-06, -2.6740224464533825e-06, -1.7324232116907132e-06, -6.8170283202474339e-07, 1.2812937946124083e-07, 5.6264338961254794e-07, 6.5247721229822826e-07, 5.1566199118512357e-07, 2.8679122188053328e-07, 7.0898083907213964e-08, -7.4774877888887899e-08, -1.3743151993107602e-07, -1.3380480370424929e-07, -9.2876144711650993e-08, -4.2276438423081974e-08, -7.9992103553161453e-10, 2.334986784493239e-08, 3.0482076345653009e-08, 2.5731390608092158e-08, 1.5519226180552584e-08, 5.1357394151502696e-09, -2.323998572835714e-09, -5.9317093573939696e-09, -6.2765630057910421e-09, -4.6481867454683858e-09, -2.3622341540068158e-09, -3.65257422380774e-10, 8.8430951237166796e-10, 1.3417828307271888e-09, 1.2126402111511417e-09, 7.8563322733804141e-10, 3.1284869936715866e-10, -4.8233472649984036e-11, -2.4023001791325368e-10, -2.7972430400122386e-10, -2.2070222966082874e-10, -1.2272742146151434e-10, -3.1140101994229513e-11, 3.0082073976518807e-11, 5.6147101427971806e-11, 5.4595138987034993e-11, 3.7785431081531896e-11, 1.7207237240837783e-11, 4.9558859370037775e-13, -9.1391016834367893e-12, -1.1940697867241359e-11, -1.0044749406029416e-11, -6.0367926286065382e-12, -2.001624213320739e-12, 8.7001736387624523e-13, 2.2430065379134944e-12, 2.3655433135992216e-12, 1.7439346779819805e-12, 8.8262648254732539e-13, 1.3739828584872659e-13, -3.2428551821318499e-13, -4.9058938488022922e-13, -4.412246896386168e-13, -2.8436793965495105e-13, -1.1263043179263689e-13, 1.7288510889948443e-14, 8.558814575639845e-14, 9.9115644736521978e-14, 7.7767112513185544e-14, 4.2982177867600901e-14, 1.079377888895906e-14, -1.0511966709325137e-14, -1.9446864487790681e-14, -1.8793323455047764e-14, -1.2927209183907956e-14, -5.841034077797021e-15, -1.4171248869084671e-16, 3.1083148216185538e-15, 4.0279581570616048e-15, 3.3666519887404771e-15, 2.0092904425719617e-15, 6.5774509518849692e-16, -2.9478217162993852e-16, -7.4399298252668237e-16, -7.7867539182876763e-16, -5.7019227802097665e-16, -2.861150091640241e-16, -4.2769708556682689e-17, 1.0641541320815023e-16, 1.5901675935582467e-16, 1.419757535956617e-16, 9.0829987856348134e-17, 3.5526255118681699e-17, -5.9071879274005193e-18, -2.7418080837025139e-17, -3.1449987833712729e-17, -2.4497202940435504e-17, -1.3422275362398042e-17, -3.2819814513444342e-18, 3.3624652611943885e-18, 6.1002104113509989e-18, 5.8463792686527806e-18, 3.9909175395649759e-18, 1.7821995022864477e-18, 2.3124302346260897e-20, -9.6846802922975991e-19, -1.2396539664759528e-18, -1.0280592975954468e-18, -6.0829559001016323e-19, -1.9512063610721352e-19, 9.3213484517915511e-20, 2.2715679544487208e-19, 2.3546326969844657e-19, 1.7107005316839697e-19, 8.4909810468949672e-20, 1.1849448942855077e-20, -3.2459389036114761e-20, -4.7701826290955841e-20, -4.2229477326857875e-20, -2.6787446669544883e-20, -1.0305202250010934e-20, 1.9229888186475034e-21, 8.1877763798671517e-21, 9.284246162472875e-21, 7.1730592694983255e-21, 3.8903793922166825e-21, 9.1687338653193467e-22, -1.0115814407059202e-21, -1.7909240046482773e-21, -1.7003299391762216e-21, -1.1509223772047863e-21, -5.067693528210476e-22, 1.1989668586873329e-24, 2.8413183670312319e-22, 3.5852583338040919e-22, 2.9479701030211311e-22, 1.7275956714825362e-22, 5.4034154904235303e-23, -2.7996566974986452e-23, -6.5495890711237629e-23, -6.7169516604254011e-23, -4.8387709862881913e-23, -2.372171162639633e-23, -3.0184776112445506e-24, 9.3992767484217901e-24, 1.3556240211489889e-23, 1.189182566768157e-23, 7.4741355671137689e-24, 2.8203544385701289e-24, -5.984646224613676e-25, -2.3258980962663754e-24, -2.6045472237211442e-24, -1.9949462580397048e-24, -1.0699784346171224e-24, -2.4112326859611146e-25, 2.908467892845065e-25, 5.0140429692789678e-25, 4.7130564771006364e-25, 3.1616774974341003e-25, 1.3703846444804737e-25, -2.8252069667176847e-27, -7.9772549397489857e-26, -9.9131463592412885e-26, -8.0781891526537099e-26, -4.6855838809649868e-26, -1.4235062636666786e-26, 8.0781043763589312e-27, 1.8107242371686845e-26, 1.8362618651550369e-26, 1.3111001395419671e-26, 6.3417535993794056e-27, 7.1780503690543247e-28, -2.617581274359858e-27, -3.7015806672666853e-27, -3.216363724067603e-27, -2.0020008819328157e-27, -7.3941269424145108e-28, 1.7899977690728587e-28, 6.3642270681213015e-28, 7.0344388778783016e-28, 5.3398739470764792e-28, 2.8301987255681191e-28, 6.0541359468320999e-29, -8.0746772986619364e-29, -1.354466018138797e-28, -1.2600889238579227e-28, -8.3745551072265862e-29, -3.5683773698856526e-29, 1.4718076685202717e-30, 2.1656006446269532e-29, 2.6491193344516624e-29, 2.1389007414777064e-29, 1.2272987844973232e-29, 3.6094191493257184e-30, -2.2568776551884723e-30, -4.8473599653805966e-30, -4.8594898496288555e-30, -3.4380383441989373e-30, -1.6393440090421845e-30, -1.6014424697603616e-31, 7.0709761200232165e-31, 9.8010069519610912e-31, 8.4338166330278457e-31}; + static constexpr double chirp_in[4096] = {1, 0.99999992642979929, 0.99999882287700514, 0.99999404081958787, 0.9999811660875062, 0.99995401897637071, 0.99990465453387189, 0.99982336314626385, 0.99969867158853654, 0.99951734473821929, 0.99926438818900221, 0.998923052036508, 0.99847483614453059, 0.99789949723582638, 0.99717505818699503, 0.99627781994202647, 0.99518237649358454, 0.9938616334148932, 0.99228683045801158, 0.99042756876612315, 0.98825184327798898, 0.98572608093165093, 0.98281518530153245, 0.97948258832792745, 0.9756903098201305, 0.97139902543374301, 0.96656814383854717, 0.96115589380530031, 0.95511942194735522, 0.94841490185561306, 0.94099765536237645, 0.93282228666059408, 0.92384282998911005, 0.91401291157120323, 0.90328592646221384, 0.89161523092170281, 0.87895435087564089, 0.86525720697385833, 0.85047835667664762, 0.83457325372130264, 0.81749852522376165, 0.79921226656174948, 0.77967435406322239, 0.75884677538693723, 0.73669397733007314, 0.7131832306305963, 0.68828501114913054, 0.66197339661628929, 0.6342264779166199, 0.60502678364962148, 0.57436171646195799, 0.54222399938345511, 0.50861213012343165, 0.4735308409942906, 0.43699156182725674, 0.39901288293222104, 0.35962101483159181, 0.31885024116901001, 0.27674336086026408, 0.2333521152185779, 0.18873759545291671, 0.14297062560971868, 0.096132115709591626, 0.048313379525507044, -0.00038358883718521143, -0.049845885660697295, -0.099949521968676278, -0.15055930804420456, -0.20152880479580074, -0.25270034875965974, -0.30390515757424702, -0.35496352274746379, -0.4056850964493664, -0.45586927889726703, -0.50530571264738766, -0.55377488976053313, -0.60104887736125978, -0.64689216655377857, -0.69106264898686465, -0.73331272456861973, -0.77339054291489417, -0.81104138006864557, -0.8460091508484886, -0.87803805587175265, -0.9068743608505454, -0.93226830418043516, -0.95397612713425417, -0.97176221914417393, -0.9854013687119787, -0.99468110844139446, -0.99940414055107041, -0.99939082701909576, -0.99448172624942033, -0.98454015586016352, -0.96945475889963473, -0.94914204852736517, -0.92354890398720091, -0.89265498858333392, -0.85647505838693705, -0.81506112859245528, -0.7685044628528731, -0.71693734959881206, -0.66053462833527321, -0.59951492826162256, -0.53414158132492895, -0.46472317204376912, -0.39161368717798556, -0.3152122296164856, -0.23596226275400647, -0.15435035416899404, -0.070904390633105427, 0.013808759593039822, 0.09918615657250443, 0.18459228461860086, 0.2693631422116452, 0.35281092692297711, 0.43422930879702298, 0.51289927740590668, 0.5880955389371294, 0.65909343027171097, 0.72517630714337644, 0.78564335324217838, 0.83981774665942033, 0.88705510950404776, 0.92675215601078931, 0.9583554441811033, 0.98137012613941343, 0.99536858315359633, 0.99999882287700514, 0.99499250904629088, 0.98017248784854372, 0.95545967068985072, 0.92087913039150604, 0.87656526714078131, 0.82276590205092281, 0.7598451601445787, 0.68828501114912999, 0.60868534583648182, 0.52176247787447139, 0.42834597636238814, 0.32937375243207906, 0.22588534448833064, 0.11901337075840943, 0.0099731446764950698, -0.099949521968675376, -0.20941227153109016, -0.31703181849493733, -0.42140110777252832, -0.52110785216033795, -0.61475425146856222, -0.70097765980614957, -0.77847193249159985, -0.84600915084848771, -0.90246139255836488, -0.94682218813969621, -0.97822728137500836, -0.99597429399523896, -0.99954088350734849, -0.98860097853545059, -0.9630386791909602, -0.92295942146047771, -0.86869802495628545, -0.80082327303127221, -0.72013871347380276, -0.6276794168385581, -0.52470448779900736, -0.41268519236054085, -0.29328863974147795, -0.16835704134703858, -0.039882659401103367, 0.09002134692995295, 0.21915387133951877, 0.34526219919889106, 0.46608122869670787, 0.57937497068616284, 0.68297963205683976, 0.7748475038260193, 0.85309080213204103, 0.91602455057213206, 0.96220754845479073, 0.99048044398756308, 0.99999992642979929, 0.99026806874157036, 0.96115589380530075, 0.91292030397297208, 0.84621360604462514, 0.7620849817471087, 0.66197339661628984, 0.54769160642970061, 0.42140110777252909, 0.2855780849582823, 0.14297062560971963, -0.0034522927617008812, -0.15055930804420603, -0.29512169978712482, -0.43388373911755923, -0.56363695259073099, -0.68129669877065169, -0.78397929272312616, -0.8690777846452038, -0.9343344109714895, -0.97790769530701704, -0.99843218742645046, -0.9950688952752843, -0.96754459005089155, -0.9161783491799238, -0.84189394582437793, -0.74621699410734765, -0.63125611230023981, -0.49966776553729064, -0.35460488704253801, -0.19964984230321187, -0.038732782291660182, 0.1239630836160234, 0.28410729153688535, 0.43733655464327453, 0.57937497068616117, 0.70615681024133081, 0.81394842128514178, 0.89946560517441376, 0.95998273974085324, 0.99342995728005579, 0.99847483614453048, 0.97458533851213081, 0.92207112396763224, 0.84210088492281143, 0.73669397733007302, 0.60868534583648282, 0.46166354924637748, 0.29988255844234957, 0.12814889944360713, -0.048313379525509959, -0.2240165573282355, -0.39337772332802823, -0.55089698145210475, -0.69133985418658528, -0.80991791317645134, -0.90246139255836466, -0.96557747552099782, -0.99678810088010106, -0.99464152469519274, -0.95879249417982837, -0.89004674065898659, 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0.33841307983513402, -0.31703181849472845, 0.29622101515464083, -0.2760060647928777, 0.25640987367073959, -0.23745301300816751, 0.2191538713382635, -0.20152880479604404, 0.18459228461925636, -0.16835704134700888, 0.15283420512977428, -0.13803344170061341, 0.12396308361540023, -0.110630256377754, 0.098040999160336914, -0.086200379880266867, 0.075112604335562244, -0.064781119288953887, 0.055208709333225685, -0.046397587328288914, 0.038349478447046295, -0.03106569760236999, 0.024547220292490568, -0.018794746789342908, 0.013808759594209193, -0.0095895741816169593, 0.0061373830151254354, -0.0034522927602768901, 0.0015343547837478589, -0.00038358883724551112, -4.1594761818964385e-13}; + static constexpr double chirp[4096] = {0.00040197539532452165, 0.0043218582476489383, 0.022513203330593246, 0.076423299471914771, 0.19190221487212958, 0.3833382837955005, 0.63876131714726392, 0.91764931409521544, 1.1641273287127316, 1.3283048187709321, 1.3846720229112144, 1.3394453537264652, 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2.5974342576957909e-13, 4.4215348884383415e-13, 9.745660225005115e-14, -1.7493595276790036e-14, -5.2478513071566035e-13, -4.886611948418107e-13, -6.7484775092326726e-13, -2.4731871281838402e-13, -2.2377378541740128e-13, 1.7990065004098305e-13, -3.4904465927819428e-14, 1.4025417857817767e-13, -1.2741371475141587e-13, 2.5270863248944963e-13, 3.1523620655027687e-13, 9.3581139202787017e-13, 9.4072329966658113e-13, 1.1741159395639925e-12, 6.2296377688423601e-13, 4.1191416444620209e-13, -2.4692485319170173e-13, -1.8059471969057286e-13, -3.2531430091106438e-13}; +}; + +struct case_zeta_7_100Hz_1000Hz_z50 +{ + static constexpr int order = 7; + static constexpr double cutoff_hz = 100.0; + static constexpr double sample_rate_hz = 1000.0; + + static constexpr double b[8] = {0, 5.5414930708633534e-06, 0.00047201380553219707, 0.0033421361173180037, 0.0049101577556053813, 0.0017829898173946802, 0.00013433963364082801, 8.4139704458380917e-07}; + static constexpr double a[8] = {1, -4.2829646384529276, 8.2869568188550105, -9.3067653574527114, 6.5296622338484127, -2.8563790251772003, 0.72114058055696573, -0.081002592157943101}; + static constexpr double step[256] = {0, 5.5414930708633534e-06, 0.00050128931746980015, 0.0059207737224881932, 0.029985724105339624, 0.09450463679389029, 0.21876262578741326, 0.40628208803691501, 0.63815015510530815, 0.87729100683358729, 1.0812543449806526, 1.216925171918237, 1.2706161635832312, 1.2501448481498019, 1.1794338474912431, 1.0889551682980996, 1.006123517175433, 0.94877711854151081, 0.92303905029314159, 0.92506580331278632, 0.94508274390255864, 0.97185491133411284, 0.9961642496321359, 1.0126070055445207, 1.0197434636483129, 1.0191058952146588, 1.0137333965054138, 1.0068099870870333, 1.0007514811390286, 0.99683564105670563, 0.99528124783490957, 0.99558862148706262, 0.99694927483436069, 0.99858462878604848, 0.99994653048265136, 1.0007768153253889, 1.0010638426110694, 1.000948198467283, 1.0006236905473405, 1.0002629924358486, 0.9999788076992886, 0.99981716651973618, 0.99977182881931381, 0.99980728672492991, 0.99988049489234165, 0.9999558084598148, 1.0000117503508357, 1.0000410749567366, 1.0000468669852742, 1.000037395859984, 1.0000216715444836, 1.0000066465681068, 0.99999615713403966, 0.99999117182733088, 0.99999073134023519, 0.99999302766735565, 0.99999626366339567, 0.99999914622562991, 1.000001030556968, 1.0000018230655832, 1.0000017723597125, 1.0000012541513963, 1.0000006126161038, 1.0000000783478324, 0.99999975305219224, 0.99999963667781455, 0.9999996712226713, 0.99999978183345939, 0.99999990489367918, 1.000000000864546, 1.0000000548694914, 1.000000070151539, 1.0000000593120391, 1.0000000367381106, 1.0000000138188325, 0.99999999707655829, 0.99999998846912619, 0.99999998683440361, 0.9999999895760816, 0.99999999401431539, 0.99999999816978691, 1.0000000010093342, 1.0000000023197855, 1.0000000024079407, 1.0000000017867514, 1.0000000009415546, 1.0000000002066634, 0.99999999973840858, 0.99999999954980745, 0.99999999957005703, 0.99999999970127118, 0.99999999985778953, 0.99999999998472711, 1.0000000000597258, 1.000000000084831, 1.0000000000751295, 1.0000000000487577, 1.0000000000204763, 0.99999999999903566, 0.99999999998739164, 0.99999999998444822, 0.99999999998716427, 0.99999999999226952, 0.99999999999727973, 1.0000000000008396, 1.0000000000025973, 1.0000000000028575, 1.0000000000022073, 1.0000000000012295, 1.0000000000003422, 0.99999999999975508, 0.99999999999950195, 0.99999999999950906, 0.99999999999966183, 0.99999999999985456, 1.000000000000018, 1.0000000000001219, 1.0000000000001654, 1.0000000000001628, 1.0000000000001326, 1.0000000000000935, 1.0000000000000615, 1.0000000000000473, 1.0000000000000535, 1.0000000000000739, 1.000000000000097, 1.0000000000001104, 1.000000000000105, 1.0000000000000784, 1.0000000000000357, 0.99999999999998779, 0.99999999999994693, 0.99999999999992384, 0.99999999999992473, 0.99999999999994871, 0.99999999999998779, 1.0000000000000304, 1.0000000000000651, 1.0000000000000837, 1.0000000000000837, 1.0000000000000677, 1.0000000000000437, 1.0000000000000224, 1.0000000000000127, 1.0000000000000162, 1.0000000000000269, 1.000000000000034, 1.0000000000000304, 1.0000000000000189, 1.0000000000000082, 1.0000000000000064, 1.0000000000000171, 1.0000000000000375, 1.0000000000000606, 1.0000000000000793, 1.000000000000089, 1.000000000000089, 1.000000000000081, 1.0000000000000704, 1.0000000000000633, 1.0000000000000642, 1.0000000000000739, 1.0000000000000917, 1.0000000000001139, 1.0000000000001326, 1.0000000000001379, 1.0000000000001255, 1.0000000000001006, 1.0000000000000739, 1.0000000000000544, 1.0000000000000446, 1.0000000000000411, 1.0000000000000375, 1.0000000000000295, 1.0000000000000162, 1.0000000000000002, 0.99999999999998601, 0.99999999999997802, 0.99999999999997891, 0.99999999999998956, 1.0000000000000091, 1.000000000000034, 1.0000000000000588, 1.0000000000000802, 1.0000000000000961, 1.000000000000105, 1.0000000000001033, 1.000000000000089, 1.0000000000000633, 1.0000000000000313, 1.0000000000000029, 0.99999999999998868, 0.99999999999999578, 1.0000000000000242, 1.0000000000000668, 1.0000000000001112, 1.0000000000001432, 1.0000000000001521, 1.0000000000001361, 1.0000000000001006, 1.0000000000000553, 1.0000000000000118, 0.99999999999997979, 0.99999999999996558, 0.99999999999997091, 0.99999999999999312, 1.0000000000000278, 1.0000000000000695, 1.0000000000001121, 1.0000000000001485, 1.0000000000001716, 1.0000000000001761, 1.0000000000001601, 1.0000000000001272, 1.0000000000000864, 1.0000000000000482, 1.0000000000000215, 1.0000000000000118, 1.0000000000000189, 1.0000000000000384, 1.0000000000000642, 1.0000000000000899, 1.0000000000001104, 1.0000000000001201, 1.0000000000001148, 1.0000000000000944, 1.0000000000000633, 1.0000000000000286, 0.99999999999999845, 0.99999999999997979, 0.99999999999997624, 0.99999999999998512, 0.99999999999999845, 1.0000000000000091, 1.0000000000000144, 1.0000000000000171, 1.0000000000000224, 1.000000000000034, 1.0000000000000517, 1.0000000000000713, 1.0000000000000873, 1.0000000000000953, 1.0000000000000926, 1.0000000000000793, 1.0000000000000571, 1.0000000000000295, 1.000000000000002, 0.99999999999998068, 0.9999999999999718, 0.99999999999997802, 0.99999999999999756, 1.0000000000000251, 1.0000000000000526, 1.0000000000000731, 1.000000000000081, 1.0000000000000757}; + static constexpr double impulse[256] = {0, 5.5414930708633534e-06, 0.00049574782439893675, 0.0054194844050183925, 0.024064950382851429, 0.064518912688550659, 0.124257988993523, 0.18751946224950189, 0.23186806706839336, 0.23914085172827959, 0.20396333814706713, 0.13567082693758947, 0.053690991665002574, -0.020471315433419263, -0.070711000658549517, -0.090478679193137151, -0.082831651122662886, -0.05734639863392077, -0.02573806824837066, 0.0020267530196381861, 0.020016940589757691, 0.026772167431530713, 0.024309338297995628, 0.016442755912362966, 0.0071364581037844516, -0.00063756843364507279, -0.0053724987092228721, -0.0069234094183530728, -0.0060585059479799051, -0.0039158400823075222, -0.0015543932217929705, 0.00030737365214466954, 0.0013606533472821582, 0.0016353539516679519, 0.0013619016965809427, 0.0008302848427133025, 0.0002870272856546896, -0.00011564414380978074, -0.00032450791995753184, -0.00036069811149465163, -0.00028418473655264379, -0.00016164117954060387, -4.5337700412740288e-05, 3.5457905619846011e-05, 7.3208167410318011e-05, 7.5313567470996383e-05, 5.5941891023194245e-05, 2.932460590875262e-05, 5.7920285500384606e-06, -9.4711252751979009e-06, -1.5724315484124577e-05, -1.5024976361928471e-05, -1.0489434057361276e-05, -4.985306708233464e-06, -4.4048710702087956e-07, 2.2963270991963508e-06, 3.2359960147980924e-06, 2.8825622123710833e-06, 1.8843313244373829e-06, 7.9250861086349517e-07, -5.0705866838230258e-08, -5.182083067456786e-07, -6.4153527949121335e-07, -5.3426825677427722e-07, -3.2529562639817377e-07, -1.1637436872297866e-07, 3.4544857678776662e-08, 1.1061078089165986e-07, 1.2306020780276018e-07, 9.5970854670408531e-08, 5.4004937177627781e-08, 1.5282045694608067e-08, -1.0839496641912836e-08, -2.2573923754903999e-08, -2.2919275268875627e-08, -1.6742274813615122e-08, -8.6074352140677998e-09, -1.6347261529502941e-09, 2.7416764300549955e-09, 4.4382359386258378e-09, 4.1554758361589226e-09, 2.8395509968552348e-09, 1.3104528052724627e-09, 8.8153343260143725e-11, -6.2119408572775102e-10, -8.4520251208993153e-10, -7.3489535069248643e-10, -4.682544662309604e-10, -1.8859552597222443e-10, 2.02582691062257e-11, 1.3122258800696642e-10, 1.5652333284370171e-10, 1.2693904940527119e-10, 7.5000105520995058e-11, 2.5110489881772719e-11, -9.6921817217561395e-12, -2.6360546070124603e-11, -2.8270433616933293e-11, -2.1431814824795176e-11, -1.1638737394592603e-11, -2.9421416533547202e-12, 2.7118659541560098e-12, 5.0932347356011185e-12, 4.9905282180028347e-12, 3.5374585267076729e-12, 1.7417514030578847e-12, 2.5871311459205205e-13, -6.3567552719363696e-13, -9.5328789578499362e-13, -8.623336703931938e-13, -5.7053821633628949e-13, -2.4927499034751661e-13, -1.711955518599388e-15, 1.3569743088040859e-13, 1.736636112958914e-13, 1.4599669689673722e-13, 8.98016264549996e-14, 3.3594202486041563e-14, -6.8612069267136345e-15, -2.7272964046602213e-14, -3.0893675023579099e-14, -2.4230538334859974e-14, -1.3761411991633525e-14, -4.1293429045401963e-15, 2.3389153720675892e-15, 5.2479970803396005e-15, 5.3789423896894359e-15, 3.9421939843119101e-15, 2.0449719265561609e-15, 4.2661298864310432e-16, -5.8393376491736457e-16, -9.7619961017390995e-16, -9.1805555044575038e-16, -6.2840156118280091e-16, -2.9272134170837207e-16, -2.5988488454747438e-17, 1.2792711905204246e-16, 1.7659629493171563e-16, 1.5375127587410546e-16, 9.8027025312603864e-17, 3.9893610590761695e-17, -3.2314062644854322e-18, -2.5998622351110971e-17, -3.1191954950459289e-17, -2.5279509295011825e-17, -1.4933688530005742e-17, -5.0628206578860086e-18, 1.7732835162895193e-18, 5.0234722889988992e-18, 5.3936569272377722e-18, 4.0807625146498262e-18, 2.214343263177909e-18, 5.6928108751910285e-19, -4.9196239517154374e-19, -9.3495368347665859e-19, -9.1471667122413675e-19, -6.4646975375442567e-19, -3.1785370608978595e-19, -4.8606136015935801e-20, 1.1241536921896151e-19, 1.68912576498648e-19, 1.5231971373786179e-19, 1.0040432756757905e-19, 4.3770551541215115e-20, 4.8894673477086521e-22, -2.3313460739627491e-20, -2.9767643230794115e-20, -2.4921280650463287e-20, -1.526141360074738e-20, -5.689057780615492e-21, 1.1416351191729245e-21, 4.5519255027515204e-21, 5.1337866230915137e-21, 4.006881226995436e-21, 2.2639044131509354e-21, 6.7512126759658007e-22, -3.8223014218364923e-22, -8.5179519913862063e-22, -8.6831256385400398e-22, -6.3290761195529347e-22, -3.2629987517315609e-22, -6.7168500150417294e-23, 9.309608132627167e-23, 1.5429889894398734e-22, 1.4423380311011306e-22, 9.8134643869204271e-23, 4.5367821606691579e-23, 3.826177997525871e-24, -1.989575284811334e-23, -2.7222348914601528e-23, -2.354882292226053e-23, -1.4914967296349623e-23, -6.0100687623323523e-24, 5.3404000116986086e-25, 3.9484321378295694e-24, 4.695996799306131e-24, 3.7803368683430583e-24, 2.2167951643313426e-24, 7.4095314947967285e-25, -2.7130473444321578e-25, -7.4593503879075215e-25, -7.9413501746337964e-25, -5.9662324277876027e-25, -3.2102858421365252e-25, -8.0601824741030268e-26, 7.2930935131833058e-26, 1.3591204040130946e-25, 1.3187510406520959e-25, 9.2515911300930192e-26, 4.5035528990939503e-26, 6.5206414319644988e-27, -1.6261927846716667e-26, -2.4066898613383194e-26, -2.1527247900903153e-26, -1.4078837096343957e-26, -6.0613652907183158e-27, 5.2416617619378018e-30, 3.3010870817524428e-27, 4.1617277481585608e-27, 3.4562135142143516e-27, 2.0984999319209993e-27, 7.6919519658108634e-28, -1.6986117080415295e-28, -6.3210857227734918e-28, -7.0498138494101136e-28, -5.4579067960697296e-28, -3.0544015599398601e-28, -8.8788274148336148e-29, 5.389580104720968e-29, 1.1617323612966926e-28, 1.1722630655706338e-28, 8.4740181903394657e-29, 4.3207402525983255e-29, 8.4775040281072602e-30, -1.2763961077690593e-29, -2.0692684312527709e-29, -1.9159479909675148e-29, -1.2923653218013852e-29, -5.8948422145090355e-30, -4.1846048416111903e-31, 2.6707364127486505e-30, 3.5932945060696502e-30, 3.0801564397864117e-30, 1.9329470373425364e-30, 7.6544131066775279e-31, -8.368993932616446e-32, -5.205785266027177e-31, -6.1063276903333277e-31, -4.8719289222487554e-31, -2.8281308942135168e-31, -9.2213214955349649e-32, 3.7135077337125324e-32, 9.6777684567365677e-32, 1.0180211414725722e-31, 7.580131176237694e-32, 4.0320519187579692e-32}; + static constexpr double chirp_in[4096] = {1, 0.99999992642979929, 0.99999882287700514, 0.99999404081958787, 0.9999811660875062, 0.99995401897637071, 0.99990465453387189, 0.99982336314626385, 0.99969867158853654, 0.99951734473821929, 0.99926438818900221, 0.998923052036508, 0.99847483614453059, 0.99789949723582638, 0.99717505818699503, 0.99627781994202647, 0.99518237649358454, 0.9938616334148932, 0.99228683045801158, 0.99042756876612315, 0.98825184327798898, 0.98572608093165093, 0.98281518530153245, 0.97948258832792745, 0.9756903098201305, 0.97139902543374301, 0.96656814383854717, 0.96115589380530031, 0.95511942194735522, 0.94841490185561306, 0.94099765536237645, 0.93282228666059408, 0.92384282998911005, 0.91401291157120323, 0.90328592646221384, 0.89161523092170281, 0.87895435087564089, 0.86525720697385833, 0.85047835667664762, 0.83457325372130264, 0.81749852522376165, 0.79921226656174948, 0.77967435406322239, 0.75884677538693723, 0.73669397733007314, 0.7131832306305963, 0.68828501114913054, 0.66197339661628929, 0.6342264779166199, 0.60502678364962148, 0.57436171646195799, 0.54222399938345511, 0.50861213012343165, 0.4735308409942906, 0.43699156182725674, 0.39901288293222104, 0.35962101483159181, 0.31885024116901001, 0.27674336086026408, 0.2333521152185779, 0.18873759545291671, 0.14297062560971868, 0.096132115709591626, 0.048313379525507044, -0.00038358883718521143, -0.049845885660697295, -0.099949521968676278, -0.15055930804420456, -0.20152880479580074, -0.25270034875965974, -0.30390515757424702, -0.35496352274746379, -0.4056850964493664, -0.45586927889726703, -0.50530571264738766, -0.55377488976053313, -0.60104887736125978, -0.64689216655377857, -0.69106264898686465, -0.73331272456861973, -0.77339054291489417, -0.81104138006864557, -0.8460091508484886, -0.87803805587175265, -0.9068743608505454, -0.93226830418043516, -0.95397612713425417, -0.97176221914417393, -0.9854013687119787, -0.99468110844139446, -0.99940414055107041, -0.99939082701909576, -0.99448172624942033, -0.98454015586016352, -0.96945475889963473, -0.94914204852736517, -0.92354890398720091, -0.89265498858333392, -0.85647505838693705, -0.81506112859245528, -0.7685044628528731, -0.71693734959881206, -0.66053462833527321, -0.59951492826162256, -0.53414158132492895, -0.46472317204376912, -0.39161368717798556, -0.3152122296164856, -0.23596226275400647, -0.15435035416899404, 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0.25640987367073959, -0.23745301300816751, 0.2191538713382635, -0.20152880479604404, 0.18459228461925636, -0.16835704134700888, 0.15283420512977428, -0.13803344170061341, 0.12396308361540023, -0.110630256377754, 0.098040999160336914, -0.086200379880266867, 0.075112604335562244, -0.064781119288953887, 0.055208709333225685, -0.046397587328288914, 0.038349478447046295, -0.03106569760236999, 0.024547220292490568, -0.018794746789342908, 0.013808759594209193, -0.0095895741816169593, 0.0061373830151254354, -0.0034522927602768901, 0.0015343547837478589, -0.00038358883724551112, -4.1594761818964385e-13}; + static constexpr double chirp[4096] = {0, 5.5414930708633534e-06, 0.0005012893170621113, 0.0059207736794929062, 0.029985723090048145, 0.094504625585408619, 0.21876255082597748, 0.40628173414770952, 0.63814885988593728, 0.87728710093074092, 1.0812442262556086, 1.2169019696968644, 1.2705680174133591, 1.2500528904450245, 1.1792700199677728, 1.0886800076827072, 1.0056840189305958, 0.94810474097628672, 0.92204787178800263, 0.92365080639140151, 0.94311817911487517, 0.9691926918687197, 0.9926323393975035, 1.0080077818789435, 1.0138520539756506, 1.0116685002486279, 1.0044656192604542, 0.99539518763530455, 0.98683917383749165, 0.98003994628183322, 0.97517940607920239, 0.97171957512112583, 0.96881232219511926, 0.96563815616965909, 0.96160682945801301, 0.95641699489100818, 0.95001284761858462, 0.94248994719150392, 0.93399634526830289, 0.92465837752075097, 0.91454199008892256, 0.90364621387708532, 0.89191776097782483, 0.87927423651220538, 0.86562609488620235, 0.85089182071533054, 0.83500495656879525, 0.81791444490166998, 0.79958102317212443, 0.77997239259254847, 0.75905910629427675, 0.73681212142188657, 0.7132021076046331, 0.68820007970599584, 0.6617787374569134, 0.63391395940236739, 0.60458609080324843, 0.57378087725900562, 0.54149005974742326, 0.50771173659899793, 0.47245061953252177, 0.43571828692727838, 0.39753349392302073, 0.35792255620492863, 0.31691979399996761, 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0.78051440194615618, 0.58639401499270616, 0.36236946170478129, 0.11925423019139715, -0.13097925520395076, -0.37577833945663464, -0.60263724160276599, -0.79974181581734005, -0.95659889147662946, -1.0646164284156945, -1.1176018195627269, -1.1121485962089588, -1.0478864874647764, -0.92757609846931433, -0.75703714414514856, -0.54490785570822742, -0.30224243479079527, -0.041962773256380828, 0.22181044245592058, 0.47451420142130984, 0.70194774126392079, 0.89108127226223821, 1.030822742701476, 1.1126969582961923, 1.1313944922661994, 1.0851536135965609, 0.97594672222060475, 0.80945315227514136, 0.59481217801546549, 0.34416299143531309, 0.071991577291388067, -0.2056830079889406, -0.47223925320701116, -0.71144797149329486, -0.90847231956064134, -1.0508113367198246, -1.1291262367916788, -1.1378935340782794, -1.0758377267454617, -0.94610834447382919, -0.75618109325532334, -0.51747977743684659, -0.24473364378061596, 0.044897356548544237, 0.33288034491564716, 0.60048721764798774, 0.83001864210305631, 1.0059946445980765, 1.1162311124517781, 1.1527259836124852, 1.1122887536878745, 0.99686179301802835, 0.81350106454220883, 0.57400605361257617, 0.29421266621191178, -0.0070130777458026362, -0.30902023467365836, -0.59077745512668645, -0.83234284382106494, -1.0162968370014884, -1.1290344359837587, -1.1618192542369765, -1.1115153366085637, -0.98093297021120207, -0.77875056585192104, -0.51900450156693811, -0.2201705516497956, 0.096108116735550558, 0.4065628024271189, 0.68800388811328383, 0.91906472488487168, 1.0818536299168757, 1.1633849373558838, 1.1566722057713859, 1.0613884600805061, 0.88402849030827468, 0.63754477169629087, 0.34046892195175038, 0.015571738731095398, -0.31184649470562775, -0.61591081744973786, -0.87222261844500981, -1.059844756959994, -1.163058068559141, -1.1727392683361229, -1.0872358612127639, -0.9126506278629386, -0.66249402373160826, -0.35671398089820405, -0.020165076238849038, 0.31937156177092946, 0.63346424335667095, 0.89541860583139832, 1.0825772860988043, 1.1783317331177685, 1.1736642946337026, 1.0680730426411327, 0.86978042943670963, 0.59518615490952154, 0.26758980600776583, -0.084725637968238898, -0.43089830682733071, -0.74017993582567931, -0.98468353312223644, -1.1419403602606908, -1.1970291891531104, -1.1440716462594533, -0.98693846781718819, -0.73907884200273632, -0.42246316149614893, -0.06571162209416069, 0.29844036232471804, 0.63612157546857595, 0.91548154574275742, 1.1097307122894022, 1.1997719198454824, 1.1761602730312051, 1.0401841875526721, 0.80393849639619175, 0.48935404859185822, 0.12624886959150755, -0.25043597775319443, -0.60396700471517484, -0.8994023030284346, -1.1070803930684938, -1.2056634509149222, -1.1844177277305801, -1.0444805589045933, -0.79895788310464366, -0.47181016447007429, -0.095607142525059433, 0.29164936526067997, 0.65033279043455983, 0.94325243244146517, 1.1395520863531139, 1.2180350886695419, 1.1695513791618397, 0.99816965617947206, 0.72097781390586069, 0.36649607856316357, 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-5.6602708103913898e-06, 5.3740984840126029e-06, -5.0921072420462291e-06, 4.8148105747914639e-06, -4.5426823294710218e-06, 4.2761587973033176e-06, -4.015635408871224e-06, 3.7614777030795999e-06, -3.5140121292017933e-06, 3.2735381166302652e-06, -3.0403224828892854e-06, 2.8146057738993972e-06, -2.5966011068204283e-06, 2.3864996576097475e-06, -2.1844666507328325e-06, 1.990650613676223e-06, -1.8051780274605192e-06, 1.6281585657520148e-06, -1.459688646878434e-06, 1.2998452737985484e-06, -1.1486988531271834e-06, 1.006302745885737e-06, -8.727040683486365e-07, 7.479389643174641e-07, -6.3203691284061679e-07, 5.2502008449670696e-07, -4.2690534425137746e-07, 3.3770610194495087e-07, -2.5742781176083601e-07, 1.860810436343505e-07, -1.2366248215508388e-07, 7.0180280213216715e-08, -2.5629558442779383e-08, -9.9867117432375804e-09}; +}; + +struct case_mz_zeta_7_100Hz_1000Hz_z50 +{ + static constexpr int order = 7; + static constexpr double cutoff_hz = 100.0; + static constexpr double sample_rate_hz = 1000.0; + + static constexpr double b[8] = {0, 0.00016637531280635213, 0.00099825187683811288, 0.0024956296920952818, 0.0033275062561270424, 0.0024956296920952818, 0.00099825187683811288, 0.00016637531280635213}; + static constexpr double a[8] = {1, -4.2829646384529276, 8.2869568188550105, -9.3067653574527149, 6.5296622338484172, -2.8563790251772021, 0.72114058055696639, -0.08100259215794324}; + static constexpr double step[256] = {0, 0.00016637531280635213, 0.0018772067711056155, 0.010321522068499763, 0.037186561717609833, 0.099602462355040819, 0.2131897264994512, 0.38226336087730389, 0.59347740401277338, 0.8173548195248469, 1.0173284034255259, 1.1618853092132673, 1.2343450316153399, 1.2365963088316883, 1.1862242421320341, 1.1091462367520979, 1.0311045011155722, 0.9710204831019188, 0.93786326200348757, 0.93110716165132879, 0.94368550153297914, 0.96587449776430045, 0.98871385371842646, 1.0061313150654589, 1.0155824732250176, 1.0175123589016506, 1.0141857677735331, 1.0084301379247327, 1.0026722695648393, 0.99843257309941269, 0.99625226030041525, 0.99591527259554902, 0.99679420479840453, 0.99817787050198004, 0.99949666075172872, 1.0004222616471239, 1.0008624623459426, 1.0008931814718522, 1.0006710648159407, 1.0003585054729269, 1.0000769441397326, 0.99989013667477444, 0.99981003874334917, 0.99981458443942561, 0.99986762646597882, 0.99993463191325926, 0.99999150931716241, 1.0000269270083919, 1.000040150806111, 1.0000368466061023, 1.0000248541087036, 1.000011117268893, 1.0000001431923016, 0.99999378042050158, 0.99999182666523823, 0.99999294942053674, 0.99999553202324976, 0.99999824125065306, 1.0000002760851485, 1.0000013632821716, 1.0000016082892005, 1.0000013044467639, 1.0000007713501162, 1.0000002549610283, 0.99999989092980279, 0.99999971431199619, 0.99999969309629766, 0.99999976598070817, 0.99999987203874074, 0.99999996749243547, 1.0000000304697849, 1.0000000576042591, 1.0000000569501895, 1.0000000407851513, 1.0000000203574837, 1.000000003201877, 0.99999999265767336, 0.99999998876701135, 0.99999998970152959, 0.99999999308879695, 0.99999999691153374, 0.99999999991476252, 1.0000000016220447, 1.0000000021271926, 1.0000000018179618, 1.0000000011387904, 1.0000000004418288, 0.99999999992919542, 0.99999999966255271, 0.99999999960773256, 0.99999999968651132, 0.99999999981789245, 0.99999999994196387, 1.0000000000273346, 1.000000000067307, 1.0000000000708296, 1.0000000000530713, 1.0000000000284262, 1.0000000000068301, 0.99999999999295952, 0.99999999998725742, 0.99999999998768907, 0.99999999999140965, 0.99999999999591893, 0.99999999999960576, 1.000000000001803, 1.0000000000025535, 1.0000000000022835, 1.0000000000015143, 1.000000000000675, 1.0000000000000249, 0.99999999999965816, 0.99999999999955336, 0.99999999999962974, 0.99999999999979494, 0.99999999999997258, 1.0000000000001146, 1.0000000000002025, 1.000000000000238, 1.0000000000002318, 1.000000000000199, 1.0000000000001554, 1.0000000000001164, 1.0000000000000924, 1.0000000000000853, 1.0000000000000888, 1.0000000000000941, 1.0000000000000959, 1.0000000000000941, 1.0000000000000924, 1.000000000000095, 1.0000000000001039, 1.0000000000001172, 1.0000000000001306, 1.0000000000001377, 1.0000000000001332, 1.0000000000001164, 1.0000000000000906, 1.0000000000000622, 1.0000000000000382, 1.0000000000000258, 1.0000000000000293, 1.000000000000048, 1.0000000000000746, 1.0000000000001004, 1.000000000000119, 1.0000000000001288, 1.0000000000001323, 1.0000000000001341, 1.0000000000001386, 1.0000000000001465, 1.0000000000001563, 1.0000000000001643, 1.000000000000167, 1.0000000000001616, 1.0000000000001474, 1.0000000000001261, 1.0000000000001013, 1.0000000000000773, 1.0000000000000604, 1.000000000000056, 1.0000000000000657, 1.0000000000000862, 1.0000000000001084, 1.0000000000001226, 1.0000000000001217, 1.0000000000001057, 1.0000000000000808, 1.0000000000000577, 1.0000000000000462, 1.0000000000000506, 1.0000000000000684, 1.0000000000000933, 1.0000000000001181, 1.0000000000001368, 1.0000000000001465, 1.0000000000001483, 1.0000000000001448, 1.0000000000001377, 1.0000000000001288, 1.0000000000001226, 1.0000000000001226, 1.0000000000001279, 1.0000000000001332, 1.0000000000001306, 1.0000000000001137, 1.0000000000000826, 1.0000000000000453, 1.0000000000000151, 1.0000000000000053, 1.0000000000000231, 1.0000000000000639, 1.0000000000001128, 1.0000000000001519, 1.0000000000001688, 1.0000000000001608, 1.000000000000135, 1.000000000000103, 1.0000000000000746, 1.0000000000000542, 1.0000000000000417, 1.0000000000000355, 1.0000000000000346, 1.00000000000004, 1.0000000000000515, 1.0000000000000666, 1.0000000000000808, 1.0000000000000897, 1.0000000000000915, 1.000000000000087, 1.000000000000079, 1.0000000000000711, 1.0000000000000657, 1.0000000000000648, 1.0000000000000684, 1.0000000000000755, 1.0000000000000862, 1.0000000000000995, 1.0000000000001137, 1.0000000000001252, 1.0000000000001306, 1.0000000000001297, 1.0000000000001252, 1.0000000000001199, 1.0000000000001146, 1.0000000000001101, 1.0000000000001066, 1.0000000000001021, 1.0000000000000959, 1.0000000000000879, 1.000000000000079, 1.0000000000000719, 1.0000000000000702, 1.0000000000000755, 1.0000000000000879, 1.0000000000001057, 1.000000000000127, 1.0000000000001501, 1.0000000000001723, 1.0000000000001901, 1.000000000000199, 1.0000000000001945, 1.000000000000175, 1.0000000000001439, 1.0000000000001092, 1.0000000000000817, 1.0000000000000702, 1.0000000000000764, 1.0000000000000941, 1.0000000000001146, 1.0000000000001315, 1.0000000000001403, 1.0000000000001386, 1.000000000000127, 1.0000000000001101, 1.0000000000000924}; + static constexpr double impulse[256] = {0, 0.00016637531280635213, 0.0017108314582992635, 0.0084443152973941466, 0.026865039649110065, 0.062415900637430979, 0.11358726414441039, 0.16907363437785283, 0.2112140431354701, 0.22387741551207496, 0.19997358390068076, 0.14455690578774205, 0.072459722402071214, 0.0022512772163449379, -0.050372066699659185, -0.077078005379941611, -0.078041735636529053, -0.060084018013654927, -0.03315722109843533, -0.0067561003521710294, 0.012578339881627088, 0.02218899623128897, 0.022839355954093685, 0.017417461347013233, 0.0094511581595613237, 0.0019298856766581107, -0.0033265911280771169, -0.0057556298487564574, -0.0057578683598586526, -0.0042396964654116964, -0.0021803127990058062, -0.00033698770489380865, 0.00087893220281909747, 0.0013836657035408129, 0.0013187902497220315, 0.00092560089537932055, 0.00044020069881285737, 3.0719125911777114e-05, -0.00022211665590351763, -0.00031255934300123377, -0.00028156133318031065, -0.00018680746494547816, -8.0097931414065452e-05, 4.5456960882391917e-06, 5.3042026567823968e-05, 6.7005447298002863e-05, 5.6877403921256676e-05, 3.5417691244601208e-05, 1.322379772680408e-05, -3.3042000111987595e-06, -1.1992497409496478e-05, -1.3736839822589129e-05, -1.097407659782229e-05, -6.3627717979136423e-06, -1.9537552552757489e-06, 1.1227553067593794e-06, 2.5826027143613798e-06, 2.7092273935737945e-06, 2.0348344780278203e-06, 1.0871970070111853e-06, 2.4500702485063903e-07, -3.0384242374080739e-07, -5.3309662266630751e-07, -5.1638906304281166e-07, -3.6403121310860812e-07, -1.7661781321582618e-07, -2.1215722175110476e-08, 7.2884378024490476e-08, 1.0605800147727759e-07, 9.5453671877829848e-08, 6.2977337626597149e-08, 2.7134473077237154e-08, -6.5406280779164492e-10, -1.6165027086446331e-08, -2.0427657188895437e-08, -1.7155602171847974e-08, -1.0544208502285725e-08, -3.8906764986221249e-09, 9.344979552057216e-10, 3.3872477337832055e-09, 3.8227261125040419e-09, 3.003233373985377e-09, 1.7073016278267398e-09, 5.0517540926100235e-10, -3.0920435401645556e-10, -6.791523675054374e-10, -6.9695067107183587e-10, -5.1262807292637476e-10, -2.6664188222679081e-10, -5.4823306264149692e-11, 7.8770514972148567e-11, 1.3136713727475613e-10, 1.240529623419897e-10, 8.5348844903311317e-11, 3.9948744942656009e-11, 3.5007211071268269e-12, -1.7773439059764224e-11, -2.4650147505302665e-11, -2.1589305537404981e-11, -1.3854424471775539e-11, -5.6827495277130716e-12, 4.4629973517118535e-13, 3.7257325781389929e-12, 4.5046975985296459e-12, 3.6772284346259937e-12, 2.189648674778777e-12, 7.5216104179435146e-13, -2.5515435197437013e-13, -7.4195812818060188e-13, -8.0397533282750522e-13, -6.1328210186556652e-13, -3.3603761531010186e-13, -8.8532905696324848e-14, 7.3176167595395671e-14, 1.4211072096595052e-13, 1.4041717205157712e-13, 1.0014749568553589e-13, 4.984200422628235e-14, 8.0918574449329052e-15, -1.7228475554932247e-14, -2.6376990458399672e-14, -2.4032496635011639e-14, -1.6002440553194639e-14, -7.0874332437099429e-15, -1.8475224245375035e-16, 3.6720242129292781e-15, 4.7676849774485904e-15, 4.0341879193146027e-15, 2.4986412337845118e-15, 9.5217264856403666e-16, -1.6631757723269917e-16, -7.3525846553348298e-16, -8.4201318395098329e-16, -6.6445735177606298e-16, -3.8032678754033071e-16, -1.1734645524723578e-16, 6.0163919645997742e-17, 1.4083861719423947e-16, 1.4563054157904055e-16, 1.0737557222038055e-16, 5.6214017872527085e-17, 1.2333393292183366e-17, -1.522218195675755e-17, -2.6072893640205939e-17, -2.4704736928096992e-17, -1.7014628572849164e-17, -8.0162249197073157e-18, -8.2866696511850749e-19, 3.3456938368747187e-18, 4.6943620621471619e-18, 4.1145866536510292e-18, 2.6405709980687128e-18, 1.0907549419264876e-18, -6.4919054593653878e-20, -6.7973394760075321e-19, -8.2539756860929591e-19, -6.7313878518237001e-19, -4.005416412497976e-19, -1.3871003306456136e-19, 4.3595675337894332e-20, 1.3110144243940414e-19, 1.4211522355589084e-19, 1.0817647896540255e-19, 5.9191057404783401e-20, 1.5754592820659563e-20, -1.242774651819888e-20, -2.4340079921751294e-20, -2.4005288897011709e-20, -1.7069555221715206e-20, -8.4773442275210928e-21, -1.3975905990665032e-21, 2.8634589924418968e-21, 4.3853790372945887e-21, 3.9826678947250977e-21, 2.6420646454683536e-21, 1.1665764890069951e-21, 3.2738577194948389e-23, -5.9541149133534373e-22, -7.7068376368657251e-22, -6.4942050790120173e-22, -4.0045788691321066e-22, -1.5190206384144705e-22, 2.6452137104234174e-23, 1.1629074737378494e-22, 1.3254966105379939e-22, 1.0409870280995711e-22, 5.9276743412537924e-23, 1.8149978410607368e-23, -9.3801309386209235e-24, -2.1744696474945671e-23, -2.2360284817731665e-23, -1.6398940974132584e-23, -8.53245343200758e-24, -1.8436067299548448e-24, 2.3194757235630852e-24, 3.9338449734844102e-24, 3.7050884020680713e-24, 2.5368844977204269e-24, 1.1861601837983164e-24, 1.1658985350066059e-25, -4.9854777981100459e-25, -6.9295688627208914e-25, -6.0355115499479343e-25, -3.8484955515668638e-25, -1.5740242138244314e-25, 1.0711023431956562e-26, 9.916227940345957e-26, 1.1934176004504086e-25, 9.6690367993271476e-26, 5.7122564972794833e-26, 1.9504793365801493e-26, -6.4498081168929526e-27, -1.874583877279214e-26, -2.0148448604666868e-26, -1.5232359554317613e-26, -8.2665347508530805e-27, -2.1499769478218709e-27, 1.7806455050910578e-27, 3.4149994238856844e-27, 3.3405482090022576e-27, 2.3584098446497898e-27, 1.1599158382545058e-27, 1.8176690810434281e-28, -4.008723788608007e-28, -6.0435782399761948e-28, -5.4449643191602541e-28, -3.584661656516175e-28, -1.5636460573323597e-28, -2.5252708138354307e-30, 8.1722304329728693e-29, 1.0442190084605106e-28, 8.7300745409805036e-29, 5.3387994882829928e-29, 1.9923515197446906e-29, -3.8594736050792496e-30, -1.5679434229297344e-29, -1.7672397775504999e-29, -1.3769817144636216e-29, -7.7685509565374492e-30, -2.3212076171527546e-30, 1.2889996881228699e-30, 2.8840440365729319e-30, 2.9358445263019991e-30, 2.1358271453339549e-30, 1.09942158085413e-30, 2.271750499683236e-31, -3.099584262484595e-31, -5.1380612415468141e-31, -4.7939778119851036e-31, -3.2549713577681447e-31, -1.5022515154258335e-31, -1.2818418016488347e-32, 6.5288963870067933e-32, 8.9209362385895997e-32, 7.7005584987158905e-32, 4.8663829315325082e-32}; + static constexpr double chirp_in[4096] = {1, 0.99999992642979929, 0.99999882287700514, 0.99999404081958787, 0.9999811660875062, 0.99995401897637071, 0.99990465453387189, 0.99982336314626385, 0.99969867158853654, 0.99951734473821929, 0.99926438818900221, 0.998923052036508, 0.99847483614453059, 0.99789949723582638, 0.99717505818699503, 0.99627781994202647, 0.99518237649358454, 0.9938616334148932, 0.99228683045801158, 0.99042756876612315, 0.98825184327798898, 0.98572608093165093, 0.98281518530153245, 0.97948258832792745, 0.9756903098201305, 0.97139902543374301, 0.96656814383854717, 0.96115589380530031, 0.95511942194735522, 0.94841490185561306, 0.94099765536237645, 0.93282228666059408, 0.92384282998911005, 0.91401291157120323, 0.90328592646221384, 0.89161523092170281, 0.87895435087564089, 0.86525720697385833, 0.85047835667664762, 0.83457325372130264, 0.81749852522376165, 0.79921226656174948, 0.77967435406322239, 0.75884677538693723, 0.73669397733007314, 0.7131832306305963, 0.68828501114913054, 0.66197339661628929, 0.6342264779166199, 0.60502678364962148, 0.57436171646195799, 0.54222399938345511, 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0.47690591218530526, -0.45279386036808306, 0.4290390833651167, -0.40568509645037554, 0.3827720280763382, -0.36033676125198227, 0.33841307983513402, -0.31703181849472845, 0.29622101515464083, -0.2760060647928777, 0.25640987367073959, -0.23745301300816751, 0.2191538713382635, -0.20152880479604404, 0.18459228461925636, -0.16835704134700888, 0.15283420512977428, -0.13803344170061341, 0.12396308361540023, -0.110630256377754, 0.098040999160336914, -0.086200379880266867, 0.075112604335562244, -0.064781119288953887, 0.055208709333225685, -0.046397587328288914, 0.038349478447046295, -0.03106569760236999, 0.024547220292490568, -0.018794746789342908, 0.013808759594209193, -0.0095895741816169593, 0.0061373830151254354, -0.0034522927602768901, 0.0015343547837478589, -0.00038358883724551112, -4.1594761818964385e-13}; + static constexpr double chirp[4096] = {0, 0.00016637531280635213, 0.0018772067588653505, 0.010321521746789344, 0.037186558091040309, 0.099602437109925349, 0.21318960009108942, 0.38226286538744703, 0.59347579916009663, 0.81735035980401682, 1.017317472688964, 1.1618611760598256, 1.234296235737979, 1.2365047470327959, 1.1860630643662939, 1.1088776756895047, 1.0306777424583231, 0.9703696468753108, 0.93690552081656309, 0.92974098352071488, 0.94178898078496054, 0.9633037302086116, 0.98530131890443873, 1.0016842431672657, 1.0098811906708505, 1.010308620444488, 1.0052010908442406, 0.99735415766375535, 0.98916113132004757, 0.98210737547901505, 0.97669755799895341, 0.97267764545194146, 0.96938089841748787, 0.96605551416260205, 0.96209006975299927, 0.95711333312764102, 0.95098917546359274, 0.94374871436198648, 0.93550304185928435, 0.92636838915318553, 0.91641958627882769, 0.90567350423282544, 0.89409512975827943, 0.88161555010435699, 0.8681521158020693, 0.85362437596097052, 0.8379631621962953, 0.82111318154337531, 0.80303114664338826, 0.78368188884121848, 0.76303446037700573, 0.74105941102595896, 0.71772761051011347, 0.69301040704354366, 0.66688063129512132, 0.63931392821389676, 0.61029002807912403, 0.57979375141309553, 0.54781570567745475, 0.51435273740459053, 0.47940824603763987, 0.44299245983257463, 0.40512274180915925, 0.365823955124356, 0.32512888578097898, 0.28307870197221391, 0.2397234232556151, 0.19512237543254929, 0.14934461387947243, 0.10246930532648206, 0.054586063425960021, 0.0057952361382295359, -0.04379185669599036, -0.094052738373895828, -0.14485364744037116, -0.19604947299416453, -0.24748376040482029, -0.29898879517831412, -0.35038577274139543, -0.40148506162582237, -0.45208656708770539, -0.50198020170560353, -0.55094646901240119, -0.59875716572759552, -0.645176207635624, -0.68996058355993262, -0.73286144117435215, -0.77362530754773762, -0.81199544632235143, -0.84771335227881894, -0.88052038274442768, -0.91015952386342225, -0.93637728817451416, -0.9589257382384897, -0.97756462923393184, -0.9920636614989411, -1.002204831950424, -1.0077848711718158, -1.0086177507400611, -1.0045372430818353, -0.99539951382949676, 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0.81304414561810057, 0.71308106456483689, 0.59788746675600035, 0.46960352005869616, 0.3307070654468322, 0.18397213950915345, 0.032418772459704891, -0.12074525958434947, -0.27218980601418213, -0.41853367662628937, -0.55642055354959441, -0.68259788649085296, -0.79399699653215372, -0.88781246599050212, -0.96157878428959553, -1.0132421587047471, -1.0412253897640702, -1.0444837585554902, -1.0225499804897167, -0.9755664490292274, -0.90430322367475602, -0.81016050743621637, -0.6951547064817899, -0.56188756300343801, -0.41349829385685338, -0.25359914252424909, -0.086195248819961726, 0.084409753771260601, 0.25372050387436412, 0.41716665441870804, 0.5702267654571499, 0.70855613775823867, 0.82811506460165729, 0.92529375323262464, 0.99703004208577695, 1.0409160269323083, 1.05528981757314, 1.0393088823511576, 0.99300180256128878, 0.9172957505765601, 0.81401761745790013, 0.68586743657683591, 0.53636356325850509, 0.36975995600422423, 0.19093683761549382, 0.0052669659495694311, -0.18153931747258975, 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9.2560422488511401e-13, -1.9407086885876029e-12, 2.5561182673532884e-12, -3.4884106914949767e-12, 3.8809483919729701e-12, -4.531786065658204e-12, 4.8653082837480863e-12, -5.1385210682027092e-12, 5.4468428470781229e-12, -5.4134817966235496e-12, 5.5987719953351674e-12, -5.4530211590761088e-12, 5.3473164210362384e-12, -5.2904801579097688e-12, 4.8315503887227246e-12, -4.8741063404323173e-12, 4.221246724563088e-12, -4.2000964609479469e-12, 3.5846049436030758e-12, -3.3811968524512237e-12, 2.8808063248265958e-12, -2.5801695036162947e-12, 2.0756909374902016e-12, -1.8708769613812876e-12, 1.2477980346030371e-12, -1.2021432297965734e-12, 5.305279869929902e-13, -5.2820611383050387e-13, -3.1816102486967313e-14, 1.059301572240573e-13, -4.7410054940071056e-13, 6.4285740359465438e-13, -8.2068938233800792e-13, 1.0631523873066984e-12, -1.076328371048263e-12, 1.3692327165745061e-12, -1.2473795867745663e-12, 1.5551082963678395e-12, -1.3689174170302201e-12, 1.601712130440934e-12, -1.4602613958520153e-12, 1.5574902817645266e-12, -1.4472365024594501e-12, 1.5450309488827113e-12, -1.2745263794822128e-12, 1.5348023391008954e-12, -1.1372172218062564e-12, 1.2721701100058044e-12, -1.2783361100622646e-12, 7.0735623847011098e-13, -1.5272402144480245e-12, 2.4599351283174573e-13, -1.4313600353805037e-12, 2.1306410412022525e-13, -9.9608750338698454e-13, 2.9503847553003643e-13, -7.0909184286035293e-13, 9.7615885101716426e-14, -7.0507487381129413e-13, -1.8709488710903777e-13, -5.8794990902798216e-13, -1.5166768665628161e-13, -1.5744111743487554e-13, 9.6667004912884269e-14, 2.1124684575386798e-13, 9.724117127837828e-14, 1.9232599996095445e-13, -1.9112245423433261e-13, 3.0087884224025419e-14, -3.8459039013345742e-13, 5.4805606667512885e-14, -3.5248551039784859e-13, 1.8305937820282947e-13, -3.1006021860256749e-13, 2.0674057626436648e-13, -3.6437825955311365e-13, 1.566748304444171e-13, -3.9480590563294171e-13, 1.769334732979605e-13, -3.0832899167859695e-13, 2.8440680257917073e-13, -1.6891674690933112e-13, 3.6676618773295866e-13, -1.0947211019629588e-13, 3.1805263175747889e-13, -1.7290438828962418e-13, 1.9240490277405708e-13, -2.2186915390846884e-13, 1.644609199259045e-13, -1.255684466995588e-13, 2.5759956505128773e-13, 5.4036907327220662e-15, 2.7759871766737387e-13, -7.5544767923901857e-15, 1.633458993066661e-13, -8.2147870862463168e-14, 8.1665834576576113e-14, -7.3936625051562732e-14, 7.4887036675963525e-14, -5.9001658810411972e-14, 3.266917986133322e-15, -1.4698326919731358e-13, -1.2568936234684525e-13, -1.8570163310728527e-13, -7.0241447207297636e-14, 3.5027495769342221e-14, 2.1518998741124409e-13, 3.2688928603905043e-13, 3.6260242448600891e-13, 3.1570223052532903e-13, 1.9163487528610357e-13, 1.2058989196745903e-13, 6.0529367434079828e-14, 1.4311424631095401e-13, 1.852526717639226e-13, 2.8186058765840641e-13, 1.9356822460007972e-13, 1.0621613248770929e-13, -1.4781364270056128e-13, -2.7034157315639247e-13, -4.2427605550479815e-13, -3.4208778625294863e-13, -3.0148756924406207e-13, -1.159126946173334e-13, -1.0298683970509301e-13, -1.2089272657489318e-14, -6.4898362528984562e-14, 7.3004720250026498e-14, 1.7404420325729461e-13, 4.8794949192502274e-13, 6.6096746267419251e-13, 8.6204651688240688e-13, 7.5444652695294545e-13, 6.2390565613400087e-13, 2.8423178476702122e-13, 1.2374127487134511e-13}; +}; + +struct case_tu_zeta_7_100Hz_1000Hz_z50 +{ + static constexpr int order = 7; + static constexpr double cutoff_hz = 100.0; + static constexpr double sample_rate_hz = 1000.0; + + static constexpr double b[8] = {8.149069908948718e-05, 0.00057043489362641015, 0.0017113046808792355, 0.0028521744681320508, 0.0028521744681320824, 0.0017113046808792146, 0.00057043489362642197, 8.1490699089485785e-05}; + static constexpr double a[8] = {1, -4.3494705149970923, 8.5468839394196969, -9.7456716430403034, 6.939059975399176, -3.0781622589166222, 0.78714698546275275, -0.089355673844153646}; + static constexpr double step[256] = {8.149069908948718e-05, 0.0010063669856521223, 0.0060439022576955189, 0.023696059175553813, 0.06871861212397927, 0.15831048113024712, 0.30361471379685073, 0.5010326349177211, 0.72896995697701017, 0.95261456026960112, 1.1348080449946945, 1.2480673239209519, 1.2827089168586074, 1.2482970523959225, 1.1687168262459375, 1.0735392776652246, 0.98918477030393659, 0.93274279270655891, 0.90978811666298631, 0.91592361899076835, 0.94067126454064953, 0.97196743994290069, 0.99980961956482484, 1.018263750037973, 1.0257537858081018, 1.0240774623159632, 1.0168221314152983, 1.0078131359197815, 1.0000139520709224, 0.99503179639651906, 0.99316046717505346, 0.99376446182896283, 0.99578017655154627, 0.99815525829094709, 1.00012734139844, 1.0013231819467954, 1.001715911944405, 1.0015038594239198, 1.0009729854456137, 1.00038673023531, 0.99992327651933766, 0.99965967635797137, 0.99958954278509593, 0.99965674410252048, 0.99978976936545261, 0.99992708220275228, 1.0000299687966023, 1.0000841780160721, 1.0000942430076758, 1.000074886628102, 1.0000430068961028, 1.0000122155557889, 0.99999042698084806, 0.99997995846174226, 0.99997912264443534, 0.99998428385180971, 0.99999162917406592, 0.99999828118384182, 1.0000027091358816, 1.0000046061476782, 1.0000044801469936, 1.0000031860228178, 1.0000015513107268, 1.0000001606595246, 0.99999929423049638, 0.99999897468038201, 0.99999906577581099, 0.99999937452772658, 0.99999972729683295, 1.0000000095193877, 1.0000001729569215, 1.0000002217431223, 1.0000001897473829, 1.0000001190494678, 1.0000000450006998, 0.99999998928283207, 0.99999995958819243, 0.9999999532825582, 0.99999996239884459, 0.99999997803533225, 0.99999999319154542, 1.0000000039058647, 1.0000000090842744, 1.0000000096100095, 1.0000000072781201, 1.0000000039216788, 1.0000000008911234, 0.99999999888352475, 0.99999999802319783, 0.99999999806665107, 0.99999999862341815, 0.99999999932515726, 0.9999999999179302, 1.0000000002842915, 1.0000000004184562, 1.0000000003810541, 1.0000000002545295, 1.0000000001112379, 0.99999999999772327, 0.99999999993272903, 0.99999999991372024, 0.99999999992654109, 0.9999999999542194, 0.99999999998284184, 1.0000000000041103, 1.0000000000152667, 1.0000000000175173, 1.0000000000140215, 1.0000000000081879, 1.0000000000026235, 0.99999999999874911, 0.99999999999690881, 0.99999999999673383, 0.99999999999755185, 0.99999999999870648, 0.99999999999973588, 1.000000000000419, 1.0000000000007307, 1.0000000000007601, 1.0000000000006313, 1.0000000000004501, 1.0000000000002831, 1.0000000000001579, 1.0000000000000753, 1.0000000000000246, 0.99999999999999611, 0.99999999999998457, 0.99999999999998812, 1.0000000000000051, 1.0000000000000309, 1.0000000000000584, 1.0000000000000806, 1.0000000000000921, 1.0000000000000904, 1.0000000000000779, 1.0000000000000628, 1.0000000000000557, 1.0000000000000655, 1.0000000000000948, 1.0000000000001374, 1.000000000000181, 1.0000000000002121, 1.0000000000002209, 1.0000000000002049, 1.0000000000001694, 1.000000000000125, 1.0000000000000833, 1.000000000000054, 1.0000000000000415, 1.0000000000000433, 1.0000000000000522, 1.0000000000000628, 1.0000000000000753, 1.000000000000093, 1.0000000000001188, 1.0000000000001499, 1.0000000000001765, 1.0000000000001872, 1.0000000000001756, 1.0000000000001428, 1.0000000000000966, 1.0000000000000513, 1.0000000000000211, 1.000000000000014, 1.00000000000003, 1.0000000000000637, 1.0000000000001072, 1.000000000000149, 1.0000000000001783, 1.0000000000001881, 1.0000000000001756, 1.0000000000001428, 1.0000000000000975, 1.0000000000000531, 1.0000000000000238, 1.0000000000000202, 1.0000000000000442, 1.0000000000000859, 1.0000000000001277, 1.0000000000001525, 1.0000000000001525, 1.0000000000001303, 1.0000000000000966, 1.0000000000000655, 1.0000000000000477, 1.0000000000000469, 1.0000000000000575, 1.0000000000000717, 1.0000000000000833, 1.0000000000000913, 1.0000000000000975, 1.0000000000001046, 1.0000000000001144, 1.0000000000001268, 1.0000000000001401, 1.0000000000001508, 1.0000000000001552, 1.0000000000001534, 1.0000000000001472, 1.0000000000001392, 1.0000000000001321, 1.0000000000001277, 1.0000000000001259, 1.0000000000001259, 1.0000000000001259, 1.000000000000125, 1.0000000000001232, 1.0000000000001215, 1.0000000000001206, 1.0000000000001206, 1.0000000000001197, 1.0000000000001144, 1.000000000000101, 1.0000000000000815, 1.0000000000000628, 1.000000000000054, 1.0000000000000611, 1.0000000000000833, 1.0000000000001126, 1.0000000000001366, 1.0000000000001446, 1.0000000000001339, 1.000000000000109, 1.0000000000000788, 1.000000000000054, 1.0000000000000433, 1.0000000000000486, 1.0000000000000646, 1.0000000000000824, 1.0000000000000939, 1.0000000000000948, 1.000000000000085, 1.0000000000000682, 1.0000000000000504, 1.0000000000000389, 1.000000000000038, 1.0000000000000486, 1.0000000000000664, 1.0000000000000833, 1.000000000000093, 1.000000000000093, 1.0000000000000842, 1.0000000000000682, 1.0000000000000469, 1.0000000000000238, 1.000000000000006, 1.0000000000000016, 1.0000000000000149, 1.0000000000000451, 1.0000000000000868, 1.000000000000133, 1.0000000000001747, 1.0000000000002032, 1.0000000000002129, 1.0000000000002041, 1.000000000000181}; + static constexpr double impulse[256] = {8.149069908948718e-05, 0.00092487628656263499, 0.0050375352720433957, 0.017652156917858285, 0.045022552948425436, 0.08959186900626781, 0.14530423266660361, 0.19741792112087042, 0.22793732205928918, 0.22364460329259106, 0.18219348472509156, 0.11325927892625087, 0.034641592937642796, -0.03441186446270178, -0.079580226150001127, -0.09517754858072297, -0.084354507361288689, -0.05644197759737013, -0.022954676043561884, 0.0061355023277895743, 0.024747645549879647, 0.031296175402238113, 0.027842179621902011, 0.018454130473123345, 0.0074900357701098569, -0.0016763234921454429, -0.0072553309006575754, -0.0090089954954981552, -0.0077991838488361762, -0.0049821556743843837, -0.0018713292214589984, 0.00060399465390024824, 0.0020157147225619105, 0.0023750817393748229, 0.0019720831074719041, 0.0011958405483450917, 0.00039272999761014345, -0.00021205252047511972, -0.0005308739782887656, -0.00058625521028168805, -0.00046345371595001451, -0.00026360016134932855, -7.0133572868935016e-05, 6.720131741699744e-05, 0.00013302526290847233, 0.00013731283726171027, 0.00010288659380561249, 5.4209219431623475e-05, 1.0064991584986542e-05, -1.9356379566294732e-05, -3.1879731968389896e-05, -3.0791340269902584e-05, -2.1788574896713502e-05, -1.0468519073618596e-05, -8.3581729429679606e-07, 5.1612073658867056e-06, 7.3453222316806423e-06, 6.6520097451581276e-06, 4.4279520133331229e-06, 1.8970117813871814e-06, -1.2600068743718144e-07, -1.2941241714214316e-06, -1.6347120852599386e-06, -1.3906511994753818e-06, -8.6642903029301108e-07, -3.1955012108405287e-07, 9.1095420458197997e-08, 3.0875190883012971e-07, 3.5276910498233691e-07, 2.8222255969573467e-07, 1.6343754269141586e-07, 4.8786210140487844e-08, -3.1995734940540572e-08, -7.0697921111812895e-08, -7.4048787301026085e-08, -5.5717895785915562e-08, -2.9694666489113387e-08, -6.3056498122774659e-09, 9.1162878198247924e-09, 1.5636506233064925e-08, 1.5156243381268788e-08, 1.0714352379328597e-08, 5.1784378989163875e-09, 5.2575287763328756e-10, -2.3318834537489301e-09, -3.3564458636980053e-09, -3.0305669432554034e-09, -2.0076112533610084e-09, -8.6033309089287982e-10, 4.3458172864250275e-11, 5.5678188718814184e-10, 7.0175796708761361e-10, 5.9278837769371685e-10, 3.6636819778874821e-10, 1.3416247101982386e-10, -3.7409113936606037e-11, -1.2653191688326581e-10, -1.4329923061640268e-10, -1.1352531308551925e-10, -6.5010301027686772e-11, -1.9027230691534057e-11, 1.2807528214620928e-11, 2.7677624684507195e-11, 2.8637669074412918e-11, 2.1294564424753247e-11, 1.1181710059761239e-11, 2.2608072978715524e-12, -3.5095125655003831e-12, -5.8689054462900349e-12, -5.6094833178100156e-12, -3.911759197666682e-12, -1.8539131352327265e-12, -1.5697181681000088e-13, 8.6333154787193621e-13, 1.2121545523547898e-12, 1.0780929494134647e-12, 7.0321671054998797e-13, 2.93415426642132e-13, -2.3206292539717371e-14, -1.9874191562083501e-13, -2.4466834133954507e-13, -2.0343139031795743e-13, -1.2353141194438564e-13, -4.3524394674602952e-14, 1.4418564603022148e-14, 4.3673742906375242e-14, 4.837767775939305e-14, 3.7698023493359608e-14, 2.1151198367924918e-14, 5.8186679290071325e-15, -4.5755760783282326e-15, -9.2639572005517582e-15, -9.3862113214291624e-15, -6.8594751591607925e-15, -3.5152800463941702e-15, -6.2878066380680746e-16, 1.1967368573818984e-15, 1.9097923523162938e-15, 1.7890269449525788e-15, 1.2247991442494681e-15, 5.6322260366870496e-16, 2.919228079787519e-17, -2.8404442944470648e-16, -3.8435491173869453e-16, -3.3522851049460849e-16, -2.1434711270413822e-16, -8.597035166008168e-17, 1.1122857924684993e-17, 6.3457751146622476e-17, 7.5745573705988125e-17, 6.1774879420261116e-17, 3.669303915443563e-17, 1.2223049704368062e-17, -5.1167491167442548e-18, -1.3584939503418382e-17, -1.464789095706452e-17, -1.1194785361030407e-17, -6.1248444647347072e-18, -1.5389142635130933e-18, 1.4999486103780991e-18, 2.8150163675570576e-18, 2.7836399755085129e-18, 1.9941711363513627e-18, 9.9194004189714591e-19, 1.4648579653204785e-19, -3.7528201230540271e-19, -5.6813354141980965e-19, -5.2033105380602192e-19, -3.4886150175667118e-19, -1.5459729948926277e-19, -1.2498165287977577e-21, 8.6292096864681936e-20, 1.1213094929138988e-19, 9.5720109379645949e-20, 5.9843752011410883e-20, 2.2856252229731738e-20, -4.5009151115379994e-21, -1.8795341461305129e-20, -2.170166170160397e-20, -1.7331961571383146e-20, -1.0041819489862743e-20, -3.1159994712510299e-21, 1.6809504560372634e-21, 3.9378537336862982e-21, 4.1263074714841826e-21, 3.0882571915233533e-21, 1.6421528403782514e-21, 3.6584834846887183e-22, -4.5983218906417493e-22, -8.0063273095725174e-22, -7.7173945855287486e-22, -5.4115060550297378e-22, -2.6017336000694696e-22, -2.8624598650421215e-23, 1.1060863334751721e-22, 1.588402328338073e-22, 1.4208630805241839e-22, 9.3144351718161804e-23, 3.9546879217936735e-23, -1.8062561997487145e-24, -2.4737003635029448e-23, -3.0860739936670611e-23, -2.5761030837494047e-23, -1.5719043100166268e-23, -5.6662401214896382e-24, 1.6006864293724944e-24, 5.2714341775575024e-24, 5.8860474519084821e-24, 4.5993684508006027e-24, 2.5935571074606978e-24, 7.3777034884615475e-25, -5.1757927460447682e-25, -1.084324898640746e-24, -1.1038795111817994e-24, -8.0832035314777212e-25, -4.1655041355406205e-25, -7.9182894661922994e-26, 1.3367271648671575e-25, 2.1694658690505858e-25, 2.0377904408549407e-25, 1.3971817185676204e-25, 6.4672027679610144e-26, 4.2660967238414268e-27, -3.1075356665626255e-26, -4.2423082615704525e-26, -3.7051029423570392e-26, -2.3719049021269262e-26, -9.5921679500454411e-27, 1.0580326433291498e-27, 6.7832213108993472e-27, 8.13368514832862e-27, 6.6364673509593973e-27, 3.9461605836528618e-27, 1.3294487194819454e-27, -5.1836190469540816e-28, -1.4181517408009393e-27, -1.5322675224342931e-27, -1.1708451628691754e-27, -6.4128421735697479e-28, -1.6396700166993062e-28, 1.5115550397856985e-28, 2.8707996802200658e-28, 2.8402685941180703e-28, 2.0334961816227564e-28, 1.0127480505408828e-28, 1.5498502014269422e-29, -3.7228790341520835e-29, -5.6640394824732094e-29, -5.1849753865577789e-29, -3.473104096243008e-29, -1.5414502122043021e-29, -2.2870357440706967e-31, 8.4035354107720618e-30, 1.0937489333044207e-29, 9.3259876039848947e-30, 5.8237665902210437e-30}; + static constexpr double chirp_in[4096] = {1, 0.99999992642979929, 0.99999882287700514, 0.99999404081958787, 0.9999811660875062, 0.99995401897637071, 0.99990465453387189, 0.99982336314626385, 0.99969867158853654, 0.99951734473821929, 0.99926438818900221, 0.998923052036508, 0.99847483614453059, 0.99789949723582638, 0.99717505818699503, 0.99627781994202647, 0.99518237649358454, 0.9938616334148932, 0.99228683045801158, 0.99042756876612315, 0.98825184327798898, 0.98572608093165093, 0.98281518530153245, 0.97948258832792745, 0.9756903098201305, 0.97139902543374301, 0.96656814383854717, 0.96115589380530031, 0.95511942194735522, 0.94841490185561306, 0.94099765536237645, 0.93282228666059408, 0.92384282998911005, 0.91401291157120323, 0.90328592646221384, 0.89161523092170281, 0.87895435087564089, 0.86525720697385833, 0.85047835667664762, 0.83457325372130264, 0.81749852522376165, 0.79921226656174948, 0.77967435406322239, 0.75884677538693723, 0.73669397733007314, 0.7131832306305963, 0.68828501114913054, 0.66197339661628929, 0.6342264779166199, 0.60502678364962148, 0.57436171646195799, 0.54222399938345511, 0.50861213012343165, 0.4735308409942906, 0.43699156182725674, 0.39901288293222104, 0.35962101483159181, 0.31885024116901001, 0.27674336086026408, 0.2333521152185779, 0.18873759545291671, 0.14297062560971868, 0.096132115709591626, 0.048313379525507044, -0.00038358883718521143, -0.049845885660697295, -0.099949521968676278, -0.15055930804420456, -0.20152880479580074, -0.25270034875965974, -0.30390515757424702, -0.35496352274746379, -0.4056850964493664, -0.45586927889726703, -0.50530571264738766, -0.55377488976053313, -0.60104887736125978, -0.64689216655377857, -0.69106264898686465, -0.73331272456861973, -0.77339054291489417, -0.81104138006864557, -0.8460091508484886, -0.87803805587175265, -0.9068743608505454, -0.93226830418043516, -0.95397612713425417, -0.97176221914417393, -0.9854013687119787, -0.99468110844139446, -0.99940414055107041, -0.99939082701909576, -0.99448172624942033, -0.98454015586016352, -0.96945475889963473, -0.94914204852736517, -0.92354890398720091, -0.89265498858333392, -0.85647505838693705, -0.81506112859245528, -0.7685044628528731, -0.71693734959881206, -0.66053462833527321, -0.59951492826162256, -0.53414158132492895, -0.46472317204376912, -0.39161368717798556, -0.3152122296164856, -0.23596226275400647, -0.15435035416899404, -0.070904390633105427, 0.013808759593039822, 0.09918615657250443, 0.18459228461860086, 0.2693631422116452, 0.35281092692297711, 0.43422930879702298, 0.51289927740590668, 0.5880955389371294, 0.65909343027171097, 0.72517630714337644, 0.78564335324217838, 0.83981774665942033, 0.88705510950404776, 0.92675215601078931, 0.9583554441811033, 0.98137012613941343, 0.99536858315359633, 0.99999882287700514, 0.99499250904629088, 0.98017248784854372, 0.95545967068985072, 0.92087913039150604, 0.87656526714078131, 0.82276590205092281, 0.7598451601445787, 0.68828501114912999, 0.60868534583648182, 0.52176247787447139, 0.42834597636238814, 0.32937375243207906, 0.22588534448833064, 0.11901337075840943, 0.0099731446764950698, -0.099949521968675376, -0.20941227153109016, -0.31703181849493733, -0.42140110777252832, -0.52110785216033795, -0.61475425146856222, -0.70097765980614957, -0.77847193249159985, -0.84600915084848771, -0.90246139255836488, -0.94682218813969621, -0.97822728137500836, -0.99597429399523896, -0.99954088350734849, -0.98860097853545059, -0.9630386791909602, -0.92295942146047771, -0.86869802495628545, -0.80082327303127221, -0.72013871347380276, -0.6276794168385581, -0.52470448779900736, -0.41268519236054085, -0.29328863974147795, -0.16835704134703858, -0.039882659401103367, 0.09002134692995295, 0.21915387133951877, 0.34526219919889106, 0.46608122869670787, 0.57937497068616284, 0.68297963205683976, 0.7748475038260193, 0.85309080213204103, 0.91602455057213206, 0.96220754845479073, 0.99048044398756308, 0.99999992642979929, 0.99026806874157036, 0.96115589380530075, 0.91292030397297208, 0.84621360604462514, 0.7620849817471087, 0.66197339661628984, 0.54769160642970061, 0.42140110777252909, 0.2855780849582823, 0.14297062560971963, -0.0034522927617008812, -0.15055930804420603, -0.29512169978712482, -0.43388373911755923, -0.56363695259073099, -0.68129669877065169, -0.78397929272312616, -0.8690777846452038, -0.9343344109714895, -0.97790769530701704, -0.99843218742645046, -0.9950688952752843, -0.96754459005089155, -0.9161783491799238, -0.84189394582437793, -0.74621699410734765, -0.63125611230023981, -0.49966776553729064, -0.35460488704253801, -0.19964984230321187, -0.038732782291660182, 0.1239630836160234, 0.28410729153688535, 0.43733655464327453, 0.57937497068616117, 0.70615681024133081, 0.81394842128514178, 0.89946560517441376, 0.95998273974085324, 0.99342995728005579, 0.99847483614453048, 0.97458533851213081, 0.92207112396763224, 0.84210088492281143, 0.73669397733007302, 0.60868534583648282, 0.46166354924637748, 0.29988255844234957, 0.12814889944360713, -0.048313379525509959, -0.2240165573282355, -0.39337772332802823, -0.55089698145210475, -0.69133985418658528, -0.80991791317645134, -0.90246139255836466, -0.96557747552099782, -0.99678810088010106, -0.99464152469519274, -0.95879249417982837, -0.89004674065898659, -0.79036655916348131, -0.66283548908721601, -0.51158150864681218, -0.34165966256345809, -0.15889660674110515, 0.030298881123715433, 0.21915387133951658, 0.40077079795557791, 0.56838039236265869, 0.71559896074412133, 0.83668028795140859, 0.92675215601078997, 0.98202755565343003, 0.9999811660875062, 0.97948258832792812, 0.92087913039150737, 0.82602263024340583, 0.6982368180860713, 0.54222399938345556, 0.36391230372523414, 0.17024729818871898, -0.031065697601372073, -0.23185984575257096, -0.42383465395227493, -0.59890073081561812, -0.74952733250515868, -0.86907778464520447, -0.95211766591071434, -0.99468110844139468, -0.99448172624941999, -0.95105651629515231, -0.86583354565218051, -0.74211726695732327, -0.58498878606033655, -0.4011222042584015, -0.19852211184659407, 0.013808759593047724, 0.22625900242972455, 0.42903908336572988, 0.61263423194927435, 0.76825896913416514, 0.88829153315462384, 0.96666642869321839, 0.99920437022617881, 0.98386102377908657, 0.92087913039150748, 0.81283271986127859, 0.66455703958209811, 0.48296332366677897, 0.27674336086027079, 0.055974700631925785, -0.16835704134703514, -0.38489726725106244, -0.58249718413303753, -0.75079558121367618, -0.8807772378003631, -0.96527750388896616, -0.99940414055107052, -0.98085070531978158, -0.91008053699473446, -0.79036655916348153, -0.62767941683856299, -0.43042453941683434, -0.20903717243428122, 0.024547220293044292, 0.25752199792776376, 0.47690591218475858, 0.6702700665282546, 0.82645479681547807, 0.93623487063973665, 0.99289265158964735, 0.99266256453924517, 0.93501624268541406, 0.82276590205092304, 0.66197339661628929, 0.46166354924637809, 0.23335211521857976, -0.0095895741826257964, -0.2527003487596628, -0.48128300660049478, -0.68129669877065224, -0.84023397604037153, -0.9479273461671317, -0.99723238944639814, -0.98454015586016264, -0.91008053699473168, -0.77799016180242753, -0.59613248546922271, -0.37567331729755787, -0.13043111482230935, 0.12396308361602595, 0.37104727229943907, 0.59459149924435239, 0.77967435406322239, 0.91370141006883898, 0.98729522857459673, 0.99499250904629022, 0.93569463493371918, 0.81283271986127059, 0.63422647791661613, 0.41163671634210847, 0.16003264759379121, -0.1033839317883601, -0.36033676125160785, -0.59273942915648381, -0.78397929272312317, -0.9201297299918394, -0.99100117924590703, -0.99094976176793526, -0.91937694488673249, -0.78087390759575936, -0.58498878606034577, -0.34562217432566072, -0.080084217820004439, 0.19212671735369832, 0.45074058099674741, 0.67622628148098096, 0.8512844415843499, 0.9622075484547904, 0.99999882287700514, 0.96115589380530075, 0.84804809615642662, 0.66884549507132596, 0.43699156182726329, 0.17024729818871992, -0.110630256376269, -0.3834806669755868, -0.62648422584859709, -0.81992136714207986, -0.94780510850409849, -0.99924960424107578, -0.96945475889963539, -0.86021435641350186, -0.67989149721536402, -0.44284765362705225, -0.16835704134703849, 0.12091746343008787, 0.40077079795558007, 0.64747701163478444, 0.83981774665941822, 0.96094386528026088, 0.99990465453387189, 0.95270229095965364, 0.82276590205091937, 0.62078697520272341, 0.36391230372523531, 0.074347571843515148, -0.22252093395631911, -0.50033216089251542, -0.73409463523198404, -0.90246139255836555, -0.98972693214480445, -0.98735610690369835, -0.89489156836093631, -0.72013871347379788, -0.47859081942819004, -0.19212671735370601, 0.11291736677555103, 0.40813786714038369, 0.66570278481121115, 0.8609957613666358, 0.97501319700248934, 0.99627781994202547, 0.92207112396763291, 0.75884677538694123, 0.5217624778744816, 0.23335211521858765, -0.07855469695947305, -0.38348066697558636, -0.65126920047307302, -0.85508594369616242, -0.97415389500088145, -0.99593983608294245, -0.91755646763273546, -0.74621699410735365, -0.49867062121686356, -0.19964984230321028, 0.12053668025531283, 0.42903908336570928, 0.69383011851338472, 0.88705510950404576, 0.98801617809016951, 0.98546660117894946, 0.878954350875643, 0.67904717547725413, 0.40638618731229703, 0.089639308903445084, -0.23745301300756336, -0.53964301532054448, -0.78397929272311817, -0.94343906000553723, -0.9999855802751384, -0.9466986959828072, -0.78871871430905482, -0.54286844851759386, -0.23596226275400908, 0.098040999161486744, 0.42174894365151211, 0.69851136524894031, 0.89659687467502402, 0.99289265158964801, 0.97569030982012916, 0.84621360604462359, 0.6186796598453691, 0.31885024116900984, -0.018794746789845506, -0.3549635227474629, -0.65010409366874566, -0.86907778464520169, -0.98540136871197892, -0.98454015586016408, -0.86583354565218329, -0.64278760968653159, -0.3416596625634602, 0.0015343547843220864, 0.34526219919889184, 0.64747701163477833, 0.87078037014119347, 0.98711172199712383, 0.98137012613941121, 0.85349083557870198, 0.61867965984537487, 0.30573182735974569, -0.04639758733025956, -0.3933777233280325, -0.69106264898687253, -0.90113523457691125, -0.99611066011347471, -0.96303867919096187, -0.80539429419585873, -0.54286844851759419, -0.20903717243428313, 0.15283420512979162, 0.49534204489123873, 0.77314731759831756, 0.94902120645442012, 0.99892305203650822, 0.91540800852536686, 0.70886763021694221, 0.40638618731230419, 0.048313379525510687, -0.31703181849493933, 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-0.13803344170061341, 0.12396308361540023, -0.110630256377754, 0.098040999160336914, -0.086200379880266867, 0.075112604335562244, -0.064781119288953887, 0.055208709333225685, -0.046397587328288914, 0.038349478447046295, -0.03106569760236999, 0.024547220292490568, -0.018794746789342908, 0.013808759594209193, -0.0095895741816169593, 0.0061373830151254354, -0.0034522927602768901, 0.0015343547837478589, -0.00038358883724551112, -4.1594761818964385e-13}; + static constexpr double chirp[4096] = {8.149069908948718e-05, 0.0010063669796568351, 0.0060439020937276084, 0.023696057230630407, 0.068718597849214594, 0.1583104058535228, 0.30361440384306365, 0.50103158380226731, 0.72896690967395605, 0.95260679678147864, 1.1347902925966113, 1.2480302761298114, 1.2826373990865361, 1.2481679299174071, 1.1684967823378896, 1.073182590304762, 0.98863118748556145, 0.93191556078742777, 0.90859216811655108, 0.91424388849073435, 0.93837108271104519, 0.96888695308047612, 0.99576419659760385, 1.0130423577590137, 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2.4742505299376466e-11, -1.2485567199810137e-11, 8.7405236314733875e-13, 1.0727362466204926e-11, -2.0707140009298443e-11, 2.9755797123693674e-11, -3.6403006951619792e-11, 4.1629524866638058e-11, -4.4156521456862122e-11, 4.5014934525543877e-11, -4.3537032636879161e-11, 4.0296825599262344e-11, -3.5571267462054974e-11, 2.9257215153712969e-11, -2.2403935701260664e-11, 1.4540082706642268e-11, -6.8116957116070437e-12, -9.7666011833908578e-13, 8.2947581501969722e-12, -1.472730176200511e-11, 2.0414873567672909e-11, -2.4755688804770602e-11, 2.7921495017869773e-11, -2.9864088429303916e-11, 3.0244793147271402e-11, -2.9733441254367783e-11, 2.7714476816074911e-11, -2.4976749597868057e-11, 2.1288754647205786e-11, -1.6927989351521629e-11, 1.2353171355847584e-11, -7.2724482956965791e-12, 2.4943006644503884e-12, 2.3099196980094078e-12, -6.719843079336027e-12, 1.0457746661370927e-11, -1.3934606357787933e-11, 1.6272182074548482e-11, -1.8269453339752901e-11, 1.9241597315586452e-11, -1.9501179378191447e-11, 1.9222978260856382e-11, -1.7934490306761278e-11, 1.6521943581258836e-11, -1.4185078018615332e-11, 1.1830757544689739e-11, -9.0259804160939747e-12, 6.0766456021774454e-12, -3.2857947455553968e-12, 1.8662485836221099e-13, 2.2004598664027153e-12, -5.0599870295283886e-12, 6.7487659747731896e-12, -9.0492605542193821e-12, 9.9336787439448931e-12, -1.1392508193330125e-11, 1.1568798016455863e-11, -1.1993715211527228e-11, 1.1644562985840996e-11, -1.1045573106876518e-11, 1.0308308322233139e-11, -8.9179779114492968e-12, 7.8784281683686071e-12, -6.0367497472743094e-12, 4.7973554111440525e-12, -2.8321800945598462e-12, 1.5196647922249146e-12, 2.5902405762813496e-13, -1.59405850335987e-12, 2.8410386022914569e-12, -4.2445284347816456e-12, 4.7154501169651558e-12, -6.1050973440080272e-12, 5.9118816612968583e-12, -6.9394998102913219e-12, 6.4837763589652327e-12, -6.7897149491277786e-12, 6.389652899125263e-12, -5.9307174311005496e-12, 5.598063326913913e-12, -4.6672691642954812e-12, 4.2296741704515774e-12, -3.1885577518435144e-12, 2.5578307240271478e-12, -1.6045536278233748e-12, 8.6863033584537452e-13, -3.2610131500514228e-14, -6.2908336038221963e-13, 1.3881765067958948e-12, -1.8190669646587707e-12, 2.5216546651338559e-12, -2.6644859414540548e-12, 3.2566854215546753e-12, -3.1815797961682116e-12, 3.5470934457888792e-12, -3.3890419089783672e-12, 3.4283286387722101e-12, -3.310881327130491e-12, 2.9808585070775773e-12, -2.9807055295391714e-12, 2.3232903756620306e-12, -2.4326830480115687e-12, 1.5753286872134849e-12, -1.7295836021258369e-12, 8.2991507546412158e-13, -9.4075954844155887e-13, 1.7356434892827968e-13, -1.2510472665412317e-13, -3.5054164432279933e-13, 6.0153863498408483e-13, -8.0851929426702107e-13, 1.087633929859437e-12, -1.2445770867890171e-12, 1.3287153631047835e-12, -1.5608627265033606e-12, 1.4463784851889358e-12, -1.6571688140655516e-12, 1.5032670204126464e-12, -1.5617947744534649e-12, 1.4636667596793114e-12, -1.3686013856494678e-12, 1.302327332346892e-12, -1.1273508033126864e-12, 1.0546988900728832e-12, -8.4801200383891138e-13, 7.7581868736576235e-13, -5.2888087636991264e-13, 5.2661770682583577e-13, -1.6353311052866824e-13, 3.4361328073249237e-13, 2.0724279226318892e-13, 1.8229686559118399e-13, 4.8060438685411724e-13, -2.7333238211864341e-14, 6.014770387481605e-13, -2.7654087516020692e-13, 6.1464165191944115e-13, -4.7530695471056233e-13, 6.3182648674629804e-13, -5.2534727598956693e-13, 7.0604885328041933e-13, -4.5907984987277051e-13, 7.4963935070299775e-13, -4.0826796967024376e-13, 6.6289249751275842e-13, -4.3721780753139261e-13, 4.6553937056237685e-13, -4.8593942048426667e-13, 2.6854681537324607e-13, -4.5813811864201318e-13, 1.6216002607545577e-13, -3.1845068980884336e-13, 1.4959884595206266e-13, -1.2282092254041824e-13, 1.555644652506057e-13, 3.361005050661614e-14, 1.0328089227493002e-13, 8.2688342257315403e-14, -4.4837946560922354e-14, 2.2617717703073137e-14, -2.309922408514839e-13, -4.2475910484209012e-14, -3.3292940344702149e-13, -1.40021593495257e-14, -3.0638444797718989e-13, 8.7303916266462389e-14, -2.3410951183275991e-13, 1.4733505214470366e-13, -2.2933623045322954e-13, 9.9035674951640507e-14, -2.9628373593524465e-13, 9.0862240691505503e-15, -3.3237089025039274e-13, -1.8239628015413734e-14, -2.7840098661743168e-13, 2.4539398291167913e-14, -1.7480587561225641e-13, 8.3227072152428083e-14, -7.3455971123445596e-14, 1.2613210985650686e-13, 8.2487456535412784e-15, 1.5133382692605543e-13, 7.1258760882004363e-14, 1.56983048793264e-13, 9.9006970699123953e-14, 1.1778613159688436e-13, 7.1656324266127641e-14, 4.6275242887800286e-14, 4.9703564696098809e-14, 4.3638910437711689e-14, 1.2928036869112522e-13, 1.3161485078606438e-13, 2.0267005313370106e-13, 7.9368725269335708e-14, 2.5359353289164388e-15, -2.8460963986498382e-13, -4.3003398219232554e-13, -6.7263652398061487e-13, -6.4122456801783689e-13, -6.514448607831437e-13, -4.2469805070725203e-13, -3.5497519772784494e-13, -1.9310490435419519e-13, -2.7238311568278731e-13, -2.7471344562221903e-13, -4.2449634844558826e-13, -3.8748031747169037e-13, -3.7887080354525454e-13, -1.6952594655752357e-13, -3.1780432235492539e-14, 1.6665649708782343e-13, 1.8553963975018878e-13, 1.7947100782508135e-13, 3.0501493800301482e-14, -6.9982228020383508e-14, -1.8496769599914836e-13, -1.8861462684673785e-13, -1.7527655488038668e-13, -1.0583408335904793e-13, -7.167263473255997e-14, -4.8652610260858931e-14, -6.863779022144717e-14, -9.3638909560295192e-14, -1.1316295123187103e-13, -1.085344650524761e-13, -6.8845008361663462e-14, -1.4306711739776878e-14, 5.9062008213837947e-14, 1.0639236616271502e-13, 1.4030789063142896e-13, 1.1811233414926736e-13, 8.3011126184723283e-14, 1.4434850884037509e-14, -1.8727098864690372e-14, -3.8323971817202929e-14, 7.0309562208784038e-15, 5.7737404538394516e-14, 1.2995937740669858e-13, 1.4894694906706502e-13, 1.4677723012695987e-13, 8.9811235434288789e-14, 4.609116907583477e-14, -1.9462038859836828e-15, -4.7310178235941691e-15, -9.6111676560137194e-15, -7.35678607876461e-16, -3.214809874470953e-14, -7.4094532321721668e-14, -1.3873084403264943e-13, -1.6195311964336406e-13, -1.3702194489716851e-13, -2.6299773312919369e-14, 1.2394388155243831e-13, 2.8210111452224053e-13, 3.6940108022703692e-13, 3.7108578471341247e-13, 2.8305179380905265e-13, 1.7216900444921336e-13, 8.877407069543021e-14, 8.4938431071587828e-14, 1.423487521433342e-13, 2.1773334444284437e-13, 2.3470486079819886e-13, 1.5749185301435018e-13, -1.17872003797077e-14, -2.1029015422719625e-13, -3.6540186329448669e-13, -4.1617591839372085e-13, -3.5910524144019745e-13, -2.3680604376144282e-13, -1.1858205711720018e-13, -4.6867462066499128e-14, -1.552031132396616e-14, 2.8720676485400991e-14, 1.4325995588315601e-13, 3.4703663511607172e-13, 5.9435118540279469e-13, 7.9271247637798675e-13, 8.5114852406743022e-13, 7.3413830927270251e-13, 4.8501365381286183e-13, 2.0670073546088745e-13, 1.1433971667033849e-14}; +}; + +struct case_tupw_zeta_7_100Hz_1000Hz_z50 +{ + static constexpr int order = 7; + static constexpr double cutoff_hz = 100.0; + static constexpr double sample_rate_hz = 1000.0; + + static constexpr double b[8] = {9.8579350668047015e-05, 0.00069005545467632997, 0.0020701663640289888, 0.0034502772733816436, 0.0034502772733816835, 0.0020701663640289671, 0.00069005545467634287, 9.8579350668045511e-05}; + static constexpr double a[8] = {1, -4.2610747420406518, 8.2400538175815168, -9.2747168213541329, 6.5363458235193201, -2.8769780822710613, 0.73179828026836025, -0.082810118817842032}; + static constexpr double step[256] = {9.8579350668047015e-05, 0.0012086887865627603, 0.0071968152739767602, 0.027929881141724414, 0.080034419118066358, 0.18185006656257233, 0.34331447814410238, 0.55661841120311095, 0.79414339423395763, 1.0158806935887554, 1.1829558822517052, 1.2708329927172404, 1.2765233392080333, 1.2175112094032476, 1.1239181555130653, 1.027829604978252, 0.95400332192763948, 0.91477165653710479, 0.9098339386095261, 0.92980614302530384, 0.96144757077524734, 0.99250820271353579, 1.0148441828497878, 1.0253886278914992, 1.0253530983070966, 1.0184589445930419, 1.0090357728603578, 1.0005897039400562, 0.99510156547799256, 0.99300860378817835, 0.99363596369558771, 0.99579273439610649, 0.99829996009223276, 1.0003216670926856, 1.0014748186534357, 1.0017679714042025, 1.0014503147094098, 1.0008486034507316, 1.0002439121401308, 0.99980882049269149, 0.99960010139013911, 0.99958763707731013, 0.99969712858177051, 0.99984882800415431, 0.99998260710123443, 1.0000674566622758, 1.0000988056052398, 1.0000892661685594, 1.0000581081947184, 1.0000230268639465, 0.99999567622793617, 0.99998075257209085, 0.99997746290477363, 0.99998198756499435, 0.9999898182197261, 0.99999734230552051, 1.0000025203549809, 1.0000048297955975, 1.0000047918776407, 1.0000033903728209, 1.0000015956457127, 1.0000000891528738, 0.99999918579958191, 0.99999889492131999, 0.99999904470430778, 0.99999940749382443, 0.99999978913574872, 1.0000000713107629, 1.0000002141353701, 1.0000002348672175, 1.0000001789133626, 1.0000000948128343, 1.0000000188170299, 0.99999996953131387, 0.99999994994908648, 0.99999995317305601, 0.99999996860139995, 0.99999998657872802, 1.0000000008039962, 1.0000000087416592, 1.0000000107614702, 1.0000000087966712, 1.0000000051163884, 1.0000000015219739, 0.99999999902165559, 0.99999999787498617, 0.99999999783666393, 0.99999999844358645, 0.99999999924288396, 0.99999999991953825, 1.0000000003292107, 1.0000000004672176, 1.0000000004100349, 1.0000000002581821, 1.0000000000965843, 0.99999999997649891, 0.9999999999150343, 0.99999999990484423, 0.99999999992679556, 0.99999999996062805, 0.99999999999135458, 1.0000000000113618, 1.0000000000194504, 1.0000000000184175, 1.0000000000125147, 1.0000000000055771, 1.0000000000000802, 0.9999999999970034, 0.9999999999961916, 0.99999999999689326, 0.99999999999823974, 0.99999999999955158, 1.0000000000004567, 1.0000000000008653, 1.0000000000008724, 1.0000000000006504, 1.0000000000003653, 1.0000000000001308, 0.99999999999999833, 0.99999999999996725, 1.0000000000000064, 1.0000000000000766, 1.000000000000145, 1.000000000000193, 1.000000000000216, 1.0000000000002196, 1.0000000000002125, 1.000000000000201, 1.0000000000001876, 1.0000000000001734, 1.0000000000001592, 1.0000000000001485, 1.0000000000001441, 1.000000000000145, 1.0000000000001485, 1.0000000000001512, 1.0000000000001494, 1.0000000000001441, 1.0000000000001406, 1.0000000000001441, 1.0000000000001548, 1.0000000000001672, 1.0000000000001743, 1.0000000000001699, 1.0000000000001512, 1.0000000000001219, 1.0000000000000917, 1.0000000000000739, 1.0000000000000784, 1.0000000000001059, 1.0000000000001468, 1.0000000000001859, 1.0000000000002098, 1.0000000000002134, 1.0000000000002001, 1.0000000000001787, 1.0000000000001592, 1.0000000000001494, 1.0000000000001512, 1.0000000000001601, 1.000000000000169, 1.0000000000001725, 1.0000000000001699, 1.0000000000001636, 1.0000000000001565, 1.0000000000001494, 1.0000000000001423, 1.0000000000001352, 1.000000000000129, 1.0000000000001255, 1.0000000000001272, 1.0000000000001361, 1.0000000000001512, 1.000000000000169, 1.0000000000001867, 1.0000000000002036, 1.0000000000002187, 1.0000000000002276, 1.0000000000002232, 1.0000000000002018, 1.0000000000001663, 1.0000000000001255, 1.0000000000000917, 1.0000000000000757, 1.0000000000000819, 1.0000000000001077, 1.0000000000001441, 1.0000000000001787, 1.0000000000002018, 1.0000000000002089, 1.0000000000002001, 1.0000000000001805, 1.0000000000001592, 1.0000000000001459, 1.0000000000001468, 1.0000000000001592, 1.0000000000001734, 1.000000000000177, 1.0000000000001628, 1.0000000000001326, 1.0000000000000961, 1.0000000000000668, 1.0000000000000553, 1.0000000000000642, 1.000000000000089, 1.000000000000121, 1.0000000000001512, 1.0000000000001743, 1.0000000000001894, 1.0000000000001974, 1.0000000000001974, 1.0000000000001867, 1.0000000000001645, 1.0000000000001352, 1.0000000000001086, 1.0000000000000961, 1.0000000000001033, 1.0000000000001263, 1.0000000000001557, 1.0000000000001796, 1.0000000000001912, 1.0000000000001903, 1.0000000000001823, 1.0000000000001725, 1.0000000000001645, 1.000000000000161, 1.0000000000001628, 1.0000000000001672, 1.0000000000001699, 1.0000000000001672, 1.0000000000001583, 1.000000000000145, 1.0000000000001317, 1.0000000000001237, 1.0000000000001237, 1.000000000000129, 1.0000000000001334, 1.0000000000001326, 1.0000000000001272, 1.0000000000001228, 1.0000000000001246, 1.0000000000001326, 1.0000000000001414, 1.0000000000001441, 1.0000000000001361, 1.0000000000001183, 1.000000000000097, 1.000000000000081, 1.0000000000000784, 1.0000000000000926, 1.0000000000001201, 1.0000000000001503, 1.0000000000001708, 1.0000000000001743, 1.0000000000001628, 1.000000000000145}; + static constexpr double impulse[256] = {9.8579350668047015e-05, 0.0011101094358947133, 0.0059881264874139997, 0.020733065867747653, 0.052104537976341937, 0.10181564744450597, 0.16146441158153013, 0.21330393305900863, 0.23752498303084635, 0.22173729935479636, 0.16707518866294679, 0.087877110465530262, 0.005690346490787257, -0.059012129804790231, -0.093593053890183936, -0.096088550534811079, -0.073826283050608843, -0.039231665390533521, -0.0049377179275827132, 0.019972204415768594, 0.031641427749932484, 0.031060631938279168, 0.022335980136247324, 0.01054444504171391, -3.5529584392096636e-05, -0.0068941537140392141, -0.0094231717326680418, -0.0084460689202912193, -0.0054881384620630719, -0.0020929616898242992, 0.00062735990738936945, 0.0021567707004916444, 0.0025072256960986137, 0.0020217070004330331, 0.0011531515607436163, 0.00029315275077321668, -0.0003176566947783975, -0.00060171125866234263, -0.00060469131058651622, -0.00043509164742619628, -0.00020871910253811125, -1.2464312811498826e-05, 0.00010949150448013315, 0.00015169942240060791, 0.00013377909708557427, 8.4849561027445218e-05, 3.1348942931026824e-05, -9.5394367209329135e-06, -3.115797387226501e-05, -3.5081330779209184e-05, -2.7350635990245779e-05, -1.492365580801303e-05, -3.2896672800095019e-06, 4.5246602428005339e-06, 7.8306547322588922e-06, 7.5240857752591432e-06, 5.1780494292468253e-06, 2.3094405833649346e-06, -3.7917982817722533e-08, -1.4015048322329874e-06, -1.7947271063628196e-06, -1.5064928286598291e-06, -9.0335328083362149e-07, -2.9087825475568228e-07, 1.4978299201757589e-07, 3.627895217136576e-07, 3.8164193361199194e-07, 2.8217502850586234e-07, 1.4282462384053747e-07, 2.0731861866986425e-08, -5.5953845722112653e-08, -8.4100526533816887e-08, -7.5995809815784297e-08, -4.928572817690892e-08, -1.9582245289802408e-08, 3.2239469818394243e-09, 1.5428320503470336e-08, 1.7977310803189002e-08, 1.4225264850689762e-08, 7.9376781299465252e-09, 2.0198416988747482e-09, -1.9647627004444079e-09, -3.6802524599334159e-09, -3.5943988086430518e-09, -2.5003202710637237e-09, -1.1466858896882187e-09, -3.8344822658743426e-11, 6.069020836475437e-10, 7.9928319023610578e-10, 6.7664384139037315e-10, 4.0966077461155128e-10, 1.3799058987854507e-10, -5.7202463834891074e-11, -1.5186935067970466e-10, -1.6160305105116425e-10, -1.2007491942633481e-10, -6.1440695199146877e-11, -1.0158989812873953e-11, 2.1981861445219114e-11, 3.3855477123835742e-11, 3.0736479337283998e-11, 2.000241122149101e-11, 8.0720259692117277e-12, -1.0566499448565917e-12, -5.9300412228434185e-12, -6.9653004700368825e-12, -5.5203172963987655e-12, -3.0902543320492265e-12, -8.1113372797270065e-13, 7.1689493119767599e-13, 1.3730733974584878e-12, 1.3437465423103479e-12, 9.3482115583401651e-13, 4.3048345393946299e-13, 1.9504574431451344e-14, -2.1857746763935374e-13, -2.893131418032272e-13, -2.4477120751019115e-13, -1.4809855242037381e-13, -5.0230790519660923e-14, 1.9702388197386081e-14, 5.3417113632200094e-14, 5.6829605795769848e-14, 4.2143999545083325e-14, 2.1542551160595877e-14, 3.6294559289813293e-15, -7.5286193337371447e-15, -1.1615080144406171e-14, -1.0520851770092024e-14, -6.827834193258205e-15, -2.75143381302046e-15, 3.4815459078448343e-16, 1.9908276682661106e-15, 2.3327588363415525e-15, 1.8426565228605671e-15, 1.0278924313543533e-15, 2.6899096460904003e-16, -2.3635730115679988e-16, -4.5122269217244954e-16, -4.3990791093661304e-16, -3.0479906808147481e-16, -1.3969458295418674e-16, -6.0840823870311216e-18, 7.07145889466917e-17, 9.3123528419267776e-17, 7.8436068412227033e-17, 4.7228872342568495e-17, 1.5891714295228447e-17, -6.3394118945905992e-18, -1.6950428320533757e-17, -1.79359441473403e-17, -1.3235326429053686e-17, -6.7239980165181126e-18, -1.1054473121454043e-18, 2.3664955637665e-18, 3.6182615812196826e-18, 3.2593798515579607e-18, 2.1034696745031534e-18, 8.3993781137601552e-19, -1.1354413097133466e-19, -6.1398144642030264e-19, -7.1413438647862287e-19, -5.6089725042558086e-19, -3.1078285577172882e-19, -7.9785039697943202e-20, 7.2799176075504491e-20, 1.3679015732898252e-19, 1.3247387067761233e-19, 9.1227785627270343e-20, 4.1428552914011059e-20, 1.4503840070982214e-21, -2.1315500302373235e-20, -2.7786312262070179e-20, -2.3254333397085403e-20, -1.3904305856863186e-20, -4.6050611809985949e-21, 1.9383953351897729e-21, 5.0236064975939327e-21, 5.2728229112491071e-21, 3.8655550364946749e-21, 1.9463727217925358e-21, 3.0444763613496887e-22, -7.010617860889258e-22, -1.0564421709438408e-21, -9.4481197507507588e-22, -6.0539045008484073e-22, -2.3848809226485176e-22, 3.6087863619060749e-23, 1.7860679903170336e-22, 2.0566701065395045e-22, 1.6041085047679761e-22, 8.8118797785523549e-23, 2.1970934446046192e-23, -2.1339752778271739e-23, -3.9212086488997638e-23, -3.7663474040272901e-23, -2.5748189684029873e-23, -1.155454812248422e-23, -2.5778788979472776e-25, 6.1094648491183667e-24, 7.8621833902548918e-24, 6.5305752046235158e-24, 3.8723844699214834e-24, 1.2559156915056684e-24, -5.6920796967276432e-25, -1.4179931960507381e-24, -1.4741374011489157e-24, -1.0726415310499293e-24, -5.3434409727746285e-25, -7.7972418427003725e-26, 1.9881580503257092e-25, 2.9441954280931051e-25, 2.6115730697675465e-25, 1.6598038774885403e-25, 6.431518291011135e-26, -1.1103710236987862e-26, -4.9779083963376095e-26, -5.666523934469333e-26, -4.3854147755520091e-26, -2.3854720004324008e-26, -5.7329638344274198e-27, 6.0226783786337106e-27, 1.0787212733919524e-26, 1.0266900048187666e-26, 6.9625137846532431e-27, 3.0816820153829073e-27, 2.0501355718813388e-29, -1.6860918715446449e-27, -2.1388442363642557e-27, -1.7620923665173102e-27, -1.0352650415239086e-27, -3.2752189707944527e-28, 1.6170449137250377e-28, 3.858568298540295e-28, 3.9696451078201272e-28, 2.8651754114805896e-28, 1.4103285828688552e-28, 1.8841156260569569e-29, -5.4518584441026554e-29, -7.9218214450873683e-29, -6.9652218514363697e-29, -4.3879627259525332e-29, -1.668598466678979e-29, 3.3055542659204996e-30, 1.3426274004593393e-29, 1.5096204296377925e-29, 1.1586858493241964e-29, 6.2354928686105819e-30, 1.4349184259686952e-30, -1.6493539466190346e-30, -2.8752510178080247e-30, -2.710176980986057e-30, -1.8222057405269974e-30, -7.9432684522173683e-31, 9.0341735282128142e-33, 4.5178898682251686e-31}; + static constexpr double chirp_in[4096] = {1, 0.99999992642979929, 0.99999882287700514, 0.99999404081958787, 0.9999811660875062, 0.99995401897637071, 0.99990465453387189, 0.99982336314626385, 0.99969867158853654, 0.99951734473821929, 0.99926438818900221, 0.998923052036508, 0.99847483614453059, 0.99789949723582638, 0.99717505818699503, 0.99627781994202647, 0.99518237649358454, 0.9938616334148932, 0.99228683045801158, 0.99042756876612315, 0.98825184327798898, 0.98572608093165093, 0.98281518530153245, 0.97948258832792745, 0.9756903098201305, 0.97139902543374301, 0.96656814383854717, 0.96115589380530031, 0.95511942194735522, 0.94841490185561306, 0.94099765536237645, 0.93282228666059408, 0.92384282998911005, 0.91401291157120323, 0.90328592646221384, 0.89161523092170281, 0.87895435087564089, 0.86525720697385833, 0.85047835667664762, 0.83457325372130264, 0.81749852522376165, 0.79921226656174948, 0.77967435406322239, 0.75884677538693723, 0.73669397733007314, 0.7131832306305963, 0.68828501114913054, 0.66197339661628929, 0.6342264779166199, 0.60502678364962148, 0.57436171646195799, 0.54222399938345511, 0.50861213012343165, 0.4735308409942906, 0.43699156182725674, 0.39901288293222104, 0.35962101483159181, 0.31885024116901001, 0.27674336086026408, 0.2333521152185779, 0.18873759545291671, 0.14297062560971868, 0.096132115709591626, 0.048313379525507044, -0.00038358883718521143, -0.049845885660697295, -0.099949521968676278, -0.15055930804420456, -0.20152880479580074, -0.25270034875965974, -0.30390515757424702, -0.35496352274746379, -0.4056850964493664, -0.45586927889726703, -0.50530571264738766, -0.55377488976053313, -0.60104887736125978, -0.64689216655377857, -0.69106264898686465, -0.73331272456861973, -0.77339054291489417, -0.81104138006864557, -0.8460091508484886, -0.87803805587175265, -0.9068743608505454, -0.93226830418043516, -0.95397612713425417, -0.97176221914417393, -0.9854013687119787, -0.99468110844139446, -0.99940414055107041, -0.99939082701909576, -0.99448172624942033, -0.98454015586016352, -0.96945475889963473, -0.94914204852736517, -0.92354890398720091, -0.89265498858333392, -0.85647505838693705, -0.81506112859245528, -0.7685044628528731, -0.71693734959881206, -0.66053462833527321, -0.59951492826162256, -0.53414158132492895, -0.46472317204376912, -0.39161368717798556, -0.3152122296164856, -0.23596226275400647, -0.15435035416899404, -0.070904390633105427, 0.013808759593039822, 0.09918615657250443, 0.18459228461860086, 0.2693631422116452, 0.35281092692297711, 0.43422930879702298, 0.51289927740590668, 0.5880955389371294, 0.65909343027171097, 0.72517630714337644, 0.78564335324217838, 0.83981774665942033, 0.88705510950404776, 0.92675215601078931, 0.9583554441811033, 0.98137012613941343, 0.99536858315359633, 0.99999882287700514, 0.99499250904629088, 0.98017248784854372, 0.95545967068985072, 0.92087913039150604, 0.87656526714078131, 0.82276590205092281, 0.7598451601445787, 0.68828501114912999, 0.60868534583648182, 0.52176247787447139, 0.42834597636238814, 0.32937375243207906, 0.22588534448833064, 0.11901337075840943, 0.0099731446764950698, -0.099949521968675376, -0.20941227153109016, -0.31703181849493733, -0.42140110777252832, -0.52110785216033795, -0.61475425146856222, -0.70097765980614957, -0.77847193249159985, -0.84600915084848771, -0.90246139255836488, -0.94682218813969621, -0.97822728137500836, -0.99597429399523896, -0.99954088350734849, -0.98860097853545059, -0.9630386791909602, -0.92295942146047771, -0.86869802495628545, -0.80082327303127221, -0.72013871347380276, -0.6276794168385581, -0.52470448779900736, -0.41268519236054085, -0.29328863974147795, -0.16835704134703858, -0.039882659401103367, 0.09002134692995295, 0.21915387133951877, 0.34526219919889106, 0.46608122869670787, 0.57937497068616284, 0.68297963205683976, 0.7748475038260193, 0.85309080213204103, 0.91602455057213206, 0.96220754845479073, 0.99048044398756308, 0.99999992642979929, 0.99026806874157036, 0.96115589380530075, 0.91292030397297208, 0.84621360604462514, 0.7620849817471087, 0.66197339661628984, 0.54769160642970061, 0.42140110777252909, 0.2855780849582823, 0.14297062560971963, -0.0034522927617008812, -0.15055930804420603, -0.29512169978712482, -0.43388373911755923, -0.56363695259073099, -0.68129669877065169, -0.78397929272312616, -0.8690777846452038, -0.9343344109714895, -0.97790769530701704, -0.99843218742645046, -0.9950688952752843, -0.96754459005089155, -0.9161783491799238, -0.84189394582437793, -0.74621699410734765, -0.63125611230023981, -0.49966776553729064, -0.35460488704253801, -0.19964984230321187, -0.038732782291660182, 0.1239630836160234, 0.28410729153688535, 0.43733655464327453, 0.57937497068616117, 0.70615681024133081, 0.81394842128514178, 0.89946560517441376, 0.95998273974085324, 0.99342995728005579, 0.99847483614453048, 0.97458533851213081, 0.92207112396763224, 0.84210088492281143, 0.73669397733007302, 0.60868534583648282, 0.46166354924637748, 0.29988255844234957, 0.12814889944360713, -0.048313379525509959, -0.2240165573282355, -0.39337772332802823, -0.55089698145210475, -0.69133985418658528, -0.80991791317645134, -0.90246139255836466, -0.96557747552099782, -0.99678810088010106, -0.99464152469519274, -0.95879249417982837, -0.89004674065898659, -0.79036655916348131, -0.66283548908721601, -0.51158150864681218, -0.34165966256345809, -0.15889660674110515, 0.030298881123715433, 0.21915387133951658, 0.40077079795557791, 0.56838039236265869, 0.71559896074412133, 0.83668028795140859, 0.92675215601078997, 0.98202755565343003, 0.9999811660875062, 0.97948258832792812, 0.92087913039150737, 0.82602263024340583, 0.6982368180860713, 0.54222399938345556, 0.36391230372523414, 0.17024729818871898, -0.031065697601372073, -0.23185984575257096, -0.42383465395227493, -0.59890073081561812, -0.74952733250515868, -0.86907778464520447, -0.95211766591071434, -0.99468110844139468, -0.99448172624941999, -0.95105651629515231, -0.86583354565218051, -0.74211726695732327, -0.58498878606033655, -0.4011222042584015, -0.19852211184659407, 0.013808759593047724, 0.22625900242972455, 0.42903908336572988, 0.61263423194927435, 0.76825896913416514, 0.88829153315462384, 0.96666642869321839, 0.99920437022617881, 0.98386102377908657, 0.92087913039150748, 0.81283271986127859, 0.66455703958209811, 0.48296332366677897, 0.27674336086027079, 0.055974700631925785, -0.16835704134703514, -0.38489726725106244, -0.58249718413303753, -0.75079558121367618, -0.8807772378003631, -0.96527750388896616, -0.99940414055107052, -0.98085070531978158, -0.91008053699473446, -0.79036655916348153, -0.62767941683856299, -0.43042453941683434, -0.20903717243428122, 0.024547220293044292, 0.25752199792776376, 0.47690591218475858, 0.6702700665282546, 0.82645479681547807, 0.93623487063973665, 0.99289265158964735, 0.99266256453924517, 0.93501624268541406, 0.82276590205092304, 0.66197339661628929, 0.46166354924637809, 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-4.1594761818964385e-13}; + static constexpr double chirp[4096] = {9.8579350668047015e-05, 0.0012086887793102577, 0.0071968150762657659, 0.027929878806989272, 0.080034402071991903, 0.18184997719905305, 0.34331411254506278, 0.55661717989267878, 0.79413985034825296, 1.015871732811479, 1.1829355497674985, 1.2707908906336267, 1.2764426956318051, 1.2173667249294331, 1.1236737668652572, 1.0274362935731425, 0.95339705469129987, 0.91387149311657867, 0.908540290306597, 0.92799913677187451, 0.95898546098432647, 0.98922578215989754, 1.0105511634148254, 1.0198679844041927, 1.0183593869273349, 1.0097166176100434, 0.99823751417882289, 0.98739480604507812, 0.97913436243939345, 0.97385696876289563, 0.9708498752781991, 0.96888291470574972, 0.96673658833893039, 0.96353317466449795, 0.95884677453790834, 0.9526420692513764, 0.94512347466273572, 0.9365722029580964, 0.92722316047904274, 0.91720229196194969, 0.90651944227450598, 0.89509746173621207, 0.88281512040213561, 0.8695460614649686, 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-4.2630216339682812e-13, -4.4336551167619212e-13, -3.4143982722412277e-13, -1.8473640348850521e-13, -5.8572279174723928e-14, -4.0098971709821678e-15, 1.1065502897658619e-15, 3.1292362957438665e-14, 1.5522781992018358e-13, 3.8589777278205022e-13, 6.5682217469813003e-13, 8.5330512850229214e-13, 8.7549110874758944e-13, 6.9987465722728238e-13, 3.9706453719800367e-13, 9.7470024810589374e-14, -7.4404621276881114e-14}; +}; + +struct case_zeta_8_100Hz_1000Hz_z50 +{ + static constexpr int order = 8; + static constexpr double cutoff_hz = 100.0; + static constexpr double sample_rate_hz = 1000.0; + + static constexpr double b[9] = {0, 4.4995787980277455e-07, 8.1214020809854543e-05, 0.0010323759293195359, 0.0027874039671479979, 0.0021069077273682484, 0.00044603443025789387, 2.0079046476478938e-05, 6.3701179430572665e-08}; + static constexpr double a[9] = {1, -4.9993020631490968, 11.506335283841965, -15.810433221032916, 14.147809982871003, -8.434677838412199, 3.27481283060549, -0.75907303810175053, 0.081002592157942352}; + static constexpr double step[256] = {0, 4.4995787980277455e-07, 8.3913454046485517e-05, 0.0015283712457211378, 0.010583811089075402, 0.042654410367634191, 0.12089660397868088, 0.26649500165647483, 0.48495049861125722, 0.75679847459366201, 1.0391844755658846, 1.278600239043679, 1.4291088144084894, 1.4679280773890753, 1.4020498562689854, 1.2640478602852694, 1.0998242798580939, 0.95372819895697614, 0.85652316707456766, 0.81964271782993325, 0.83631311733760683, 0.88770509126867481, 0.95106715176529644, 1.0069087940724248, 1.0433511640971913, 1.0571371250263573, 1.0519465548076905, 1.0352850855805054, 1.0152633879247395, 0.99821727807216387, 0.98757873880185798, 0.98391518305925629, 0.98574399903058652, 0.99063601485490693, 0.99620138353740284, 1.0007226908516014, 1.0033811019325434, 1.0041554872999008, 1.0035387435240413, 1.0022157696380631, 1.0008064458532697, 0.99972120951603127, 0.99912780628827758, 0.9989971493990577, 0.99918597989132252, 0.99951955688346317, 0.999851452927639, 1.0000926189753567, 1.000213453538608, 1.0002287127502107, 1.000176091707095, 1.0000968746652301, 1.0000232044509625, 0.99997289640916165, 0.99995025642696334, 0.99995029774222388, 0.99996383655614451, 0.99998170368931394, 0.99999725908894188, 1.0000071941755486, 1.0000110897653016, 1.0000103552753536, 1.000007094250801, 1.0000032408053343, 1.0000000960540323, 0.99999822963701313, 0.99999762404621428, 0.99999792196363035, 0.99999866554536165, 0.99999946454613831, 1.0000000760291492, 1.0000004101631692, 1.0000004911870191, 1.0000004030373431, 1.0000002411397171, 1.0000000811868208, 0.9999999664760475, 0.99999990954998808, 0.999999901680658, 0.99999992426265472, 0.9999999581426815, 0.9999999891603073, 1.0000000099583142, 1.0000000191364027, 1.0000000191088017, 1.0000000138117375, 1.0000000069627619, 1.0000000011220056, 0.99999999747544166, 0.9999999960928232, 0.99999999638590609, 0.99999999755373103, 0.99999999889642233, 0.99999999996634248, 1.0000000005841736, 1.0000000007733867, 1.0000000006664163, 1.0000000004208687, 1.0000000001648166, 0.99999999997390976, 0.99999999987297095, 0.99999999985106491, 0.99999999988001687, 0.99999999992972288, 0.99999999997736921, 1.0000000000106226, 1.0000000000265139, 1.0000000000281934, 1.0000000000213864, 1.0000000000116724, 1.000000000002994, 0.99999999999727951, 0.99999999999479439, 0.99999999999479972, 0.99999999999619771, 0.99999999999799449, 0.99999999999952927, 1.0000000000005098, 1.0000000000009273, 1.0000000000009299, 1.0000000000007105, 1.0000000000004325, 1.0000000000001998, 1.0000000000000577, 1.0000000000000098, 1.0000000000000364, 1.0000000000001075, 1.0000000000001892, 1.0000000000002496, 1.0000000000002656, 1.00000000000023, 1.0000000000001519, 1.0000000000000506, 0.99999999999994937, 0.99999999999986944, 0.99999999999982681, 0.99999999999983036, 0.99999999999987832, 0.99999999999995648, 1.00000000000004, 1.0000000000001021, 1.0000000000001252, 1.0000000000001075, 1.0000000000000631, 1.0000000000000169, 0.99999999999999556, 1.0000000000000169, 1.0000000000000808, 1.0000000000001679, 1.0000000000002442, 1.0000000000002762, 1.000000000000246, 1.0000000000001608, 1.0000000000000506, 0.99999999999995826, 0.99999999999992273, 0.99999999999996358, 1.0000000000000719, 1.0000000000002123, 1.0000000000003348, 1.0000000000003952, 1.0000000000003721, 1.0000000000002744, 1.0000000000001359, 0.99999999999999911, 0.99999999999989964, 0.99999999999985523, 0.99999999999986411, 0.99999999999991029, 0.99999999999997069, 1.0000000000000222, 1.0000000000000506, 1.0000000000000542, 1.0000000000000417, 1.0000000000000275, 1.000000000000024, 1.0000000000000364, 1.0000000000000631, 1.0000000000000968, 1.0000000000001288, 1.0000000000001519, 1.0000000000001643, 1.0000000000001679, 1.0000000000001661, 1.0000000000001625, 1.0000000000001572, 1.0000000000001448, 1.0000000000001181, 1.0000000000000737, 1.0000000000000169, 0.99999999999996003, 0.9999999999999174, 0.99999999999989964, 0.99999999999991029, 0.99999999999994404, 0.99999999999998845, 1.0000000000000293, 1.000000000000056, 1.0000000000000648, 1.0000000000000613, 1.0000000000000577, 1.0000000000000666, 1.0000000000000933, 1.0000000000001341, 1.0000000000001803, 1.0000000000002194, 1.0000000000002371, 1.0000000000002247, 1.0000000000001856, 1.0000000000001359, 1.0000000000000968, 1.0000000000000844, 1.0000000000001004, 1.0000000000001306, 1.0000000000001519, 1.0000000000001448, 1.0000000000001039, 1.0000000000000417, 0.99999999999998312, 0.9999999999999547, 0.99999999999997247, 1.0000000000000329, 1.0000000000001128, 1.0000000000001803, 1.0000000000002069, 1.0000000000001785, 1.0000000000001039, 1.0000000000000151, 0.99999999999995293, 0.99999999999994582, 0.99999999999999556, 1.000000000000079, 1.0000000000001643, 1.0000000000002265, 1.0000000000002567, 1.0000000000002602, 1.000000000000246, 1.0000000000002176, 1.0000000000001714, 1.0000000000001021, 1.0000000000000133, 0.99999999999992273, 0.999999999999857, 0.99999999999984102, 0.99999999999988542, 0.9999999999999778, 1.0000000000000844, 1.0000000000001643, 1.0000000000001874, 1.0000000000001483, 1.0000000000000684, 0.99999999999998312, 0.99999999999992273, 0.99999999999989964, 0.99999999999990852, 0.99999999999993339}; + static constexpr double impulse[256] = {0, 4.4995787980277455e-07, 8.3463496166682742e-05, 0.0014444577916746522, 0.0090554398433542634, 0.032070599278558778, 0.078242193611046645, 0.14559839767779398, 0.21845549695478284, 0.27184797598240595, 0.28238600097222522, 0.23941576347779958, 0.15050857536481788, 0.038819262980591906, -0.065878221120096558, -0.13800199598375046, -0.16422358042724361, -0.14609608090120518, -0.097205031882481752, -0.036880449244655833, 0.016670399507726918, 0.051391973931190979, 0.063362060496781919, 0.05584164230727906, 0.036442370024866444, 0.013785960929195151, -0.0051905702187043795, -0.016661469227266638, -0.02002169765586162, -0.017046109852658337, -0.010638539270356656, -0.0036635557426135251, 0.0018288159713539566, 0.0048920158243714266, 0.0055653686825638052, 0.0045213073142704382, 0.0026584110810037413, 0.00077438536739836937, -0.00061674377584259189, -0.0013229738859813849, -0.0014093237848083785, -0.0010852363372566886, -0.00059340322776962884, -0.00013065688923033503, 0.00018883049226188693, 0.00033357699214556441, 0.00033189604418582463, 0.00024116604772693581, 0.00012083456325233475, 1.5259211589443555e-05, -5.2621043144438919e-05, -7.9217041903046676e-05, -7.3670214303768813e-05, -5.0308041820821918e-05, -2.26399821892553e-05, 4.1315302746377223e-08, 1.3538813985691606e-05, 1.7867133235097248e-05, 1.5555399669503909e-05, 9.9350866086467737e-06, 3.8955897145682433e-06, -7.344900126276998e-07, -3.2610246215439824e-06, -3.853445520944176e-06, -3.1447513307242583e-06, -1.8664170184848266e-06, -6.0559077183639363e-07, 2.9791746025504369e-07, 7.4358178067669731e-07, 7.9900082016580829e-07, 6.1148303991741544e-07, 3.3413402993278486e-07, 8.1023840871941036e-08, -8.8149700031055327e-08, -1.618976569352327e-07, -1.5995292287179909e-07, -1.1471078468114883e-07, -5.6926051950380274e-08, -7.8693113771302155e-09, 2.258201371453569e-08, 3.388003336063293e-08, 3.1017622166535623e-08, 2.0798000532721836e-08, 9.178089119215781e-09, -2.7585556781168483e-11, -5.2970312078182599e-09, -6.8489301106721518e-09, -5.840708476579844e-09, -3.6465266481899022e-09, -1.3826049574125529e-09, 2.93062712854351e-10, 1.1677711422216966e-09, 1.342616397208608e-09, 1.0698439213749348e-09, 6.1777221208800668e-10, 1.8918418847746884e-10, -1.0696328255670913e-10, -2.4550522755784526e-10, -2.5598313005784956e-10, -1.9082691023246416e-10, -1.0086787090125557e-10, -2.1862956618376073e-11, 2.8955273890961628e-11, 4.9667879767664985e-11, 4.7573531650582489e-11, 3.3158643978181442e-11, 1.5790191462696108e-11, 1.5887726442237253e-12, -6.8688020855103947e-12, -9.7280667405343706e-12, -8.6320851271173637e-12, -5.6110101184829812e-12, -2.3467945908229915e-12, 1.4456967362265166e-13, 1.5062325178291383e-12, 1.8524334921675338e-12, 1.5308493541027117e-12, 9.2346899144500016e-13, 3.2488550148022241e-13, -1.0176337065225115e-13, -3.1282275630659498e-13, -3.4397715097785702e-13, -2.6550156875043815e-13, -1.4744958575643303e-13, -4.0168619291470217e-14, 3.1123122041873927e-14, 6.2348530538754846e-14, 6.2419874756116398e-14, 4.5034611242556119e-14, 2.2739270194493497e-14, 3.9267706428013046e-15, -7.682115731646786e-15, -1.2021114638759056e-14, -1.1086047147056829e-14, -7.4669584966173144e-15, -3.3611431277602774e-15, -1.3156770728339842e-16, 1.706160697108011e-15, 2.2537545799510851e-15, 1.9289221025052102e-15, 1.2086970875828732e-15, 4.6963143553050683e-16, -7.3176691854839518e-17, -3.5483926048006239e-16, -4.1232336383701229e-16, -3.2896846783490634e-16, -1.9058844246581362e-16, -6.0335474358564908e-17, 2.8939955475953499e-17, 7.0446913941459948e-17, 7.3789035440256357e-17, 5.4993324352129222e-17, 2.9165450627756003e-17, 6.6656713275124946e-18, -7.6855068183624894e-18, -1.3495158987011731e-17, -1.2938624301555714e-17, -9.0068902805160564e-18, -4.3049907737614466e-18, -4.9345491364523648e-19, 1.7566300059278101e-18, 2.5109792561625641e-18, 2.2253151168439838e-18, 1.4436925813352318e-18, 6.0651610417080248e-19, -2.6755315041271571e-20, -3.6965213349073951e-19, -4.5574238345504559e-19, -3.7562377353620524e-19, -2.2603746569277587e-19, -7.998022669718538e-20, 2.3168780359931839e-20, 7.3673305127229612e-20, 8.0920200240149653e-20, 6.2233654076138095e-20, 3.446263151005376e-20, 9.4643398024333858e-21, -6.9901224935259702e-21, -1.4111442186235406e-20, -1.4083117514990684e-20, -1.0117080404611056e-20, -5.0912262775410953e-21, -8.9105078427818705e-22, 1.6750078062790287e-21, 2.6197602876500254e-21, 2.4054374259609481e-21, 1.6123241622205596e-21, 7.2283180227707877e-22, 2.9922067420741236e-23, -3.6015686352387512e-22, -4.7390239598819369e-22, -4.0351477879973394e-22, -2.5149131932602538e-22, -9.7206778680277951e-23, 1.4998387115529344e-23, 7.2533026504608652e-23, 8.3823508403515623e-23, 6.6497973439598391e-23, 3.8295575242722662e-23, 1.2031708424192422e-23, -5.7886798710603477e-24, -1.39602126698301e-23, -1.4531189097054783e-23, -1.0763551910181661e-23, -5.6697402426621841e-24, -1.2782781572892275e-24, 1.4933683411427633e-24, 2.5962887111666429e-24, 2.4726196069727148e-24, 1.7100058870237117e-24, 8.1081908029161735e-25, 8.934747480686958e-26, -3.3178543031428715e-25, -4.6968531767076119e-25, -4.1336797091468453e-25, -2.6629582272746153e-25, -1.1076670930267931e-25, 5.6812290472843483e-27, 6.795391494480872e-26, 8.3004149200166354e-26, 6.792461260064463e-26, 4.0562686087424771e-26, 1.4159710938243604e-26, -4.2935251032817471e-27, -1.3200119492664096e-26, -1.4369693987254391e-26, -1.0970266822660598e-26, -6.0232050369877451e-27, -1.6194904377720914e-27, 1.2480316093451832e-27, 2.4675652464919269e-27, 2.4414724654903038e-27, 1.740561801445628e-27, 8.6729264449435509e-28, 1.45303510618715e-28, -2.9076454121945327e-28, -4.4764643634868351e-28, -4.0758438490528716e-28, -2.7101062255618511e-28, -1.2004882787694292e-28, -3.6888308544711e-30, 6.1000562837996477e-29, 7.9221809119500038e-29, 6.6898439146644302e-29, 4.1337090847335665e-29, 1.5729360675357044e-29, -2.6973383296016564e-30, -1.2012011568187505e-29, -1.3723622459713916e-29, -1.079728223264046e-29, -6.1594666468408342e-30, -1.8916118983227124e-30, 9.7279475677667022e-31, 2.2640364182169896e-30, 2.3322544521639962e-30, 1.7130884586250473e-30}; + static constexpr double chirp_in[4096] = {1, 0.99999992642979929, 0.99999882287700514, 0.99999404081958787, 0.9999811660875062, 0.99995401897637071, 0.99990465453387189, 0.99982336314626385, 0.99969867158853654, 0.99951734473821929, 0.99926438818900221, 0.998923052036508, 0.99847483614453059, 0.99789949723582638, 0.99717505818699503, 0.99627781994202647, 0.99518237649358454, 0.9938616334148932, 0.99228683045801158, 0.99042756876612315, 0.98825184327798898, 0.98572608093165093, 0.98281518530153245, 0.97948258832792745, 0.9756903098201305, 0.97139902543374301, 0.96656814383854717, 0.96115589380530031, 0.95511942194735522, 0.94841490185561306, 0.94099765536237645, 0.93282228666059408, 0.92384282998911005, 0.91401291157120323, 0.90328592646221384, 0.89161523092170281, 0.87895435087564089, 0.86525720697385833, 0.85047835667664762, 0.83457325372130264, 0.81749852522376165, 0.79921226656174948, 0.77967435406322239, 0.75884677538693723, 0.73669397733007314, 0.7131832306305963, 0.68828501114913054, 0.66197339661628929, 0.6342264779166199, 0.60502678364962148, 0.57436171646195799, 0.54222399938345511, 0.50861213012343165, 0.4735308409942906, 0.43699156182725674, 0.39901288293222104, 0.35962101483159181, 0.31885024116901001, 0.27674336086026408, 0.2333521152185779, 0.18873759545291671, 0.14297062560971868, 0.096132115709591626, 0.048313379525507044, -0.00038358883718521143, -0.049845885660697295, -0.099949521968676278, -0.15055930804420456, -0.20152880479580074, -0.25270034875965974, -0.30390515757424702, -0.35496352274746379, -0.4056850964493664, -0.45586927889726703, -0.50530571264738766, -0.55377488976053313, -0.60104887736125978, -0.64689216655377857, -0.69106264898686465, -0.73331272456861973, -0.77339054291489417, -0.81104138006864557, -0.8460091508484886, -0.87803805587175265, -0.9068743608505454, -0.93226830418043516, -0.95397612713425417, -0.97176221914417393, -0.9854013687119787, -0.99468110844139446, -0.99940414055107041, -0.99939082701909576, -0.99448172624942033, -0.98454015586016352, -0.96945475889963473, -0.94914204852736517, -0.92354890398720091, -0.89265498858333392, -0.85647505838693705, -0.81506112859245528, -0.7685044628528731, -0.71693734959881206, -0.66053462833527321, -0.59951492826162256, -0.53414158132492895, -0.46472317204376912, -0.39161368717798556, -0.3152122296164856, -0.23596226275400647, -0.15435035416899404, -0.070904390633105427, 0.013808759593039822, 0.09918615657250443, 0.18459228461860086, 0.2693631422116452, 0.35281092692297711, 0.43422930879702298, 0.51289927740590668, 0.5880955389371294, 0.65909343027171097, 0.72517630714337644, 0.78564335324217838, 0.83981774665942033, 0.88705510950404776, 0.92675215601078931, 0.9583554441811033, 0.98137012613941343, 0.99536858315359633, 0.99999882287700514, 0.99499250904629088, 0.98017248784854372, 0.95545967068985072, 0.92087913039150604, 0.87656526714078131, 0.82276590205092281, 0.7598451601445787, 0.68828501114912999, 0.60868534583648182, 0.52176247787447139, 0.42834597636238814, 0.32937375243207906, 0.22588534448833064, 0.11901337075840943, 0.0099731446764950698, -0.099949521968675376, -0.20941227153109016, -0.31703181849493733, -0.42140110777252832, -0.52110785216033795, -0.61475425146856222, -0.70097765980614957, -0.77847193249159985, -0.84600915084848771, -0.90246139255836488, -0.94682218813969621, -0.97822728137500836, -0.99597429399523896, -0.99954088350734849, -0.98860097853545059, -0.9630386791909602, 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0.18459228461925636, -0.16835704134700888, 0.15283420512977428, -0.13803344170061341, 0.12396308361540023, -0.110630256377754, 0.098040999160336914, -0.086200379880266867, 0.075112604335562244, -0.064781119288953887, 0.055208709333225685, -0.046397587328288914, 0.038349478447046295, -0.03106569760236999, 0.024547220292490568, -0.018794746789342908, 0.013808759594209193, -0.0095895741816169593, 0.0061373830151254354, -0.0034522927602768901, 0.0015343547837478589, -0.00038358883724551112, -4.1594761818964385e-13}; + static constexpr double chirp[4096] = {0, 4.4995787980277455e-07, 8.3913454013382019e-05, 0.001528371239051056, 0.010583810881878174, 0.042654407495270698, 0.12089658075945577, 0.26649487310071146, 0.48494995968002774, 0.75679664788120982, 1.0391792386175502, 1.2785871234287387, 1.4290794226594379, 1.4678680467641461, 1.4019364836843295, 1.2638475619219147, 1.0994900728829253, 0.95319735930068783, 0.85571515019921329, 0.8184573520441073, 0.83462901457804162, 0.88537818375618893, 0.94792925872888523, 1.0027661447521783, 1.0379828393120003, 1.0502934165583919, 1.0433472697066246, 1.0246178364844292, 1.0021819110865486, 0.98233981201298004, 0.96848648380813041, 0.96115084993921285, 0.95881044771887525, 0.95899498059468224, 0.95927228978343448, 0.95788155209405812, 0.95395952453668165, 0.94743978077859614, 0.93876915764157753, 0.92858587425121741, 0.9174626707405158, 0.90576256113609666, 0.89360577793661622, 0.88091584093642583, 0.86750244325150283, 0.85314438391047209, 0.83764962262694631, 0.82088462183452948, 0.80277671104349946, 0.78329931050119195, 0.76245084458275825, 0.7402357422832283, 0.71665207475231774, 0.69168675456241013, 0.66531675542341795, 0.63751374603273436, 0.60824961685065615, 0.57750113558283489, 0.54525291646732055, 0.51149868636832119, 0.47624131313036944, 0.43949221930500637, 0.40127072336817687, 0.36160364976573151, 0.32052533327018506, 0.27807797880741703, 0.23431225017897162, 0.18928794325580484, 0.14307462760326137, 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3.8184973609062246e-07, -3.4329228704787233e-07, 3.0665004624308503e-07, -2.7193791576602033e-07, 2.3917055535611668e-07, -2.0835677838077287e-07, 1.7950622743374601e-07, -1.5262605946495752e-07, 1.2771899061422787e-07, -1.0479255028437849e-07, 8.3845159492370765e-08, -6.4881934974690431e-08, 4.7901730816715429e-08, -3.2905602773862684e-08, 1.9893626443735748e-08, -8.864849314917607e-09, -1.8026762093900177e-10, 7.2443967707011628e-09, -1.2324361234407343e-08, 1.5426680688405719e-08, -1.6544282334333354e-08, 1.5685282798938809e-08, -1.2843550371071222e-08}; +}; + +struct case_mz_zeta_8_100Hz_1000Hz_z50 +{ + static constexpr int order = 8; + static constexpr double cutoff_hz = 100.0; + static constexpr double sample_rate_hz = 1000.0; + + static constexpr double b[9] = {0, 5.0582256097181565e-05, 0.00035407579268027095, 0.0010622273780408129, 0.0017703789634013548, 0.0017703789634013548, 0.0010622273780408129, 0.00035407579268027095, 5.0582256097181565e-05}; + static constexpr double a[9] = {1, -4.999302063149103, 11.50633528384199, -15.810433221032959, 14.147809982871049, -8.4346778384122327, 3.2748128306055073, -0.75907303810175608, 0.081002592157943087}; + static constexpr double step[256] = {0, 5.0582256097181565e-05, 0.00065753402604282858, 0.0041720802417375821, 0.017328674168372322, 0.053313835444217368, 0.13029867788816252, 0.26470801733838212, 0.46139688434534259, 0.70611627814705091, 0.96533385362794699, 1.1947556256296286, 1.3533011206370833, 1.4165768202155398, 1.3843306919944245, 1.2793287065281598, 1.1388087920713186, 1.0023664908601109, 0.90085858376918337, 0.84977024993117012, 0.84831580292278974, 0.8833788246369696, 0.93602811555462551, 0.98806060144107533, 1.0266436895125002, 1.046209306449702, 1.0478087284767346, 1.0368350178406256, 1.0202392095007278, 1.0041795961071915, 0.99263124649734169, 0.98704139987094019, 0.98678902893615184, 0.9900557122638538, 0.9947277683485376, 0.99906831625156811, 1.002051969180515, 1.0033870310864017, 1.0033293123409057, 1.0024134229543999, 1.0012056068388622, 1.0001386303351525, 0.99944427195287022, 0.99916598499838272, 0.99921836899604677, 0.99945945969640504, 0.99975102730486465, 0.99999478392046348, 1.0001437078555779, 1.0001949219997035, 1.0001732221228756, 1.0001134375934091, 1.0000469543892379, 0.99999449343877411, 0.99996467789771581, 0.99995649720975766, 0.9999634403177875, 0.99997749015387405, 0.99999192994391239, 1.0000026614603248, 1.0000082691767831, 1.0000093187451371, 1.0000073939648357, 1.0000042450694548, 1.0000012388972388, 0.99999914003249635, 0.99999814811838994, 0.99999807591408429, 0.99999856086828021, 0.99999923773779531, 0.99999984047235357, 1.0000002343832859, 1.0000003985866532, 1.0000003842570544, 1.0000002703498969, 1.0000001301393719, 1.000000013343145, 0.99999994227306632, 0.99999991719975934, 0.99999992557091999, 0.99999995090075333, 0.99999997899854232, 1.0000000009276933, 1.0000000132540954, 1.0000000166617367, 1.0000000140124363, 1.0000000086252763, 1.0000000031610943, 0.99999999916507831, 0.99999999711449283, 0.99999999674286744, 0.99999999743236656, 0.9999999985359469, 0.99999999956962138, 1.0000000002769116, 1.0000000006023331, 1.00000000062034, 1.0000000004586631, 1.0000000002398204, 1.0000000000492857, 0.99999999992770738, 0.99999999987897392, 0.99999999988503574, 0.99999999992042965, 0.99999999996257904, 0.99999999999682632, 1.0000000000170786, 1.0000000000237879, 1.0000000000209857, 1.000000000013604, 1.0000000000057054, 0.99999999999972178, 0.99999999999648348, 0.99999999999568856, 0.99999999999648703, 0.99999999999796052, 0.99999999999940559, 1.0000000000004341, 1.000000000000943, 1.0000000000010167, 1.0000000000008205, 1.0000000000005211, 1.0000000000002431, 1.0000000000000531, 0.99999999999996603, 0.99999999999996247, 1.0000000000000087, 1.0000000000000726, 1.000000000000133, 1.0000000000001827, 1.0000000000002254, 1.000000000000268, 1.0000000000003142, 1.0000000000003622, 1.0000000000004057, 1.0000000000004332, 1.0000000000004305, 1.0000000000003888, 1.0000000000003115, 1.0000000000002174, 1.0000000000001357, 1.0000000000000948, 1.000000000000109, 1.000000000000173, 1.0000000000002653, 1.0000000000003577, 1.0000000000004243, 1.0000000000004501, 1.0000000000004332, 1.0000000000003826, 1.0000000000003124, 1.0000000000002378, 1.0000000000001721, 1.0000000000001277, 1.000000000000117, 1.000000000000149, 1.00000000000022, 1.0000000000003106, 1.0000000000003906, 1.0000000000004305, 1.0000000000004137, 1.0000000000003417, 1.0000000000002325, 1.0000000000001135, 1.000000000000014, 0.99999999999995715, 0.99999999999995359, 1.0000000000000016, 1.0000000000000921, 1.0000000000002112, 1.0000000000003408, 1.0000000000004607, 1.0000000000005469, 1.000000000000578, 1.0000000000005433, 1.0000000000004465, 1.0000000000003035, 1.0000000000001419, 0.99999999999999623, 0.99999999999990208, 0.99999999999988431, 0.99999999999994471, 1.0000000000000584, 1.0000000000001827, 1.0000000000002751, 1.0000000000003106, 1.0000000000002893, 1.0000000000002343, 1.000000000000181, 1.0000000000001614, 1.0000000000001916, 1.0000000000002662, 1.0000000000003622, 1.0000000000004465, 1.0000000000004901, 1.0000000000004803, 1.0000000000004261, 1.0000000000003524, 1.0000000000002858, 1.0000000000002431, 1.0000000000002272, 1.0000000000002289, 1.000000000000236, 1.0000000000002414, 1.0000000000002467, 1.0000000000002609, 1.0000000000002929, 1.0000000000003462, 1.0000000000004146, 1.0000000000004812, 1.0000000000005229, 1.0000000000005203, 1.0000000000004661, 1.0000000000003693, 1.0000000000002511, 1.0000000000001374, 1.0000000000000504, 1.0000000000000042, 1.0000000000000024, 1.000000000000038, 1.0000000000000984, 1.0000000000001694, 1.0000000000002387, 1.0000000000003009, 1.0000000000003577, 1.0000000000004119, 1.000000000000459, 1.0000000000004865, 1.0000000000004803, 1.0000000000004332, 1.0000000000003524, 1.0000000000002573, 1.0000000000001721, 1.000000000000117, 1.0000000000001028, 1.0000000000001277, 1.0000000000001792, 1.0000000000002396, 1.0000000000002911, 1.0000000000003213, 1.000000000000324, 1.0000000000002982, 1.000000000000252, 1.0000000000002005, 1.0000000000001614, 1.0000000000001472, 1.0000000000001597, 1.0000000000001898, 1.0000000000002218, 1.0000000000002414, 1.0000000000002431, 1.0000000000002325, 1.00000000000022, 1.0000000000002147, 1.00000000000022, 1.0000000000002343}; + static constexpr double impulse[256] = {0, 5.0582256097181565e-05, 0.00060695176994564706, 0.0035145462156947541, 0.013156593926634742, 0.035985161275845057, 0.07698484244394517, 0.13440933945021971, 0.19668886700696103, 0.24471939380170959, 0.25921757548089763, 0.22942177200168179, 0.15854549500745185, 0.063275699578450029, -0.032246128221125769, -0.10500198546627873, -0.14051991445685363, -0.13644230121120737, -0.1015079070909044, -0.051088333837970845, -0.0014544470083402983, 0.035063021714188208, 0.052649290917614361, 0.052032485886362861, 0.038583088071316274, 0.019565616937100877, 0.0015994220269618664, -0.01097371063614155, -0.016595808339900264, -0.01605961339352481, -0.011548349609839276, -0.0055898466263961111, -0.00025237093478153866, 0.003266683327721604, 0.004672056084722747, 0.004340547903080378, 0.002983652928985045, 0.0013350619058929251, -5.7718745523376545e-05, -0.00091588938654723695, -0.0012078161155664336, -0.0010669765037068955, -0.00069435838224485725, -0.00027828695442758339, 5.238399772445842e-05, 0.00024109070039583547, 0.00029156760845923673, 0.00024375661556004795, 0.00014892393505068773, 5.1214144059532262e-05, -2.1699876870802121e-05, -5.9784529466181573e-05, -6.6483204120399721e-05, -5.2460950371223446e-05, -2.9815540948317971e-05, -8.180687863612498e-06, 6.9431080799632779e-06, 1.4049836080418745e-05, 1.4439789984999957e-05, 1.0731516335058181e-05, 5.6077163805076855e-06, 1.0495682903080337e-06, -1.9247803468448995e-06, -3.1488954101733001e-06, -3.0061722305675879e-06, -2.0988647411003567e-06, -9.9191408743590914e-07, -7.2204270697576051e-08, 4.8495424023315496e-07, 6.7686955986228255e-07, 6.0273459575045466e-07, 3.9391095660938185e-07, 1.6420337260434065e-07, -1.4329619716133737e-08, -1.1390720855625832e-07, -1.4021060134734801e-07, -1.1679631437997184e-07, -7.107015845707857e-08, -2.507335912969261e-08, 8.3711515385972893e-09, 2.5329869638673593e-08, 2.8097857636657811e-08, 2.1929228286067766e-08, 1.2326465766891607e-08, 3.4076795137494377e-09, -2.6492883227957547e-09, -5.3871690676976903e-09, -5.4642045042479025e-09, -3.9960431476483366e-09, -2.0506094203345819e-09, -3.7164235987299049e-10, 6.8949061598480258e-10, 1.1035808282093577e-09, 1.0336842951250365e-09, 7.0730772035635963e-10, 3.2544021688922499e-10, 1.8016747545077149e-11, -1.6168357535261444e-10, -2.1886508897023741e-10, -1.9056294210098486e-10, -1.2159954790108517e-10, -4.8738362189464067e-11, 6.0751834731458221e-12, 3.5419834291108329e-11, 4.2180160665674624e-11, 3.4278401610717668e-11, 2.0282220670400155e-11, 6.7360772657127834e-12, -2.7851604421545155e-12, -7.3828586393233718e-12, -7.9215761825806899e-12, -6.0206675537796546e-12, -3.2738237331093378e-12, -8.1556015479241093e-13, 7.9518144777723673e-13, 1.4799070569571712e-12, 1.4527191930475532e-12, 1.0327152042534876e-12, 5.0899141121766229e-13, 7.3034921019336038e-14, -1.9203519866058634e-13, -2.8722696378989026e-13, -2.6053061644408183e-13, -1.7291213108449596e-13, -7.5585905869328739e-14, 1.7089678281106508e-17, 4.2345808801968947e-14, 5.422287683547878e-14, 4.5736685226190075e-14, 2.8225166994988161e-14, 1.05557762510751e-14, -2.2664743881191015e-15, -8.7973784982958582e-15, -9.9882321844422491e-15, -7.8635512249334591e-15, -4.4813117283152573e-15, -1.3424122552780254e-15, 7.8332979679621112e-16, 1.7496789581239096e-15, 1.7993529754601282e-15, 1.3241436966813864e-15, 6.8932211743239535e-16, 1.4312125411112614e-16, -2.0095473773503458e-16, -3.3625171102183636e-16, -3.1749692634494621e-16, -2.1827286259684645e-16, -1.0205138495853047e-16, -8.9006269786553292e-18, 4.5355099971147905e-17, 6.2808433841918507e-17, 5.4928158210147352e-17, 3.5181834434224794e-17, 1.4374318219898992e-17, -1.1964772881655348e-18, -9.5007350143765837e-18, -1.1447424302533686e-17, -9.3221265100443695e-18, -5.5337688054282823e-18, -1.8844558819232221e-18, 6.6549795678019789e-19, 1.8918210222213088e-18, 2.041191859697027e-18, 1.5521578571123475e-18, 8.4661433391947392e-19, 2.1891819478227539e-19, -1.8976705159927671e-19, -3.6270064361782407e-19, -3.5672052146319405e-19, -2.5344675023603161e-19, -1.2531674573412288e-19, -1.936593030258047e-20, 4.4617031043607552e-20, 6.7463376561028278e-20, 6.1171634384994503e-20, 4.0546393646739259e-20, 1.77884629879671e-20, 2.358687675363675e-22, -9.519203469213841e-21, -1.2233351706170329e-20, -1.030003071057158e-20, -6.3445413009366514e-21, -2.3831764805483554e-21, 4.6992705116744611e-22, 1.9112247985701519e-21, 2.169583703425179e-21, 1.7032727444762613e-21, 9.6838785611576214e-22, 2.9174825140631135e-22, -1.6287412022051662e-22, -3.6756921484168614e-22, -3.7713620299066174e-22, -2.7655391499487975e-22, -1.4355733256872917e-22, -3.005578912421829e-23, 4.0845618103314455e-23, 6.839247872280366e-23, 6.4346743003554975e-23, 4.4055118223676566e-23, 2.0525203881270951e-23, 1.8226199616948213e-24, -8.9722909462169784e-24, -1.2387060498472964e-23, -1.0785266978302275e-23, -6.8758983769462233e-24, -2.7965097303211258e-24, 2.302573397735108e-25, 1.8282960693544478e-24, 2.1924507158736718e-24, 1.7765305904322372e-24, 1.0490560555364715e-24, 3.5491967773589263e-25, -1.2584878674928056e-25, -3.5437270659503926e-25, -3.8021346314251444e-25, -2.8755257552543811e-25, -1.5590669829767997e-25, -3.9873088187314952e-26, 3.4979473110578164e-26, 6.620121018293661e-26, 6.4715747695028261e-26, 4.5711159277481e-26, 2.2443147290602968e-26, 3.3794329696701298e-27, -8.019527845054053e-27, -1.2012136169624365e-26, -1.0822937948151477e-26, -7.1285189742442688e-27, -3.1003005747072089e-27, -2.2005965078162817e-29, 1.6702170514362048e-27, 2.1273168663742565e-27, 1.7794106794904831e-27, 1.0885243582442393e-27, 4.0416431445494107e-28, -8.4125712659563519e-29, -3.2773001378013453e-28, -3.6887502964174275e-28, -2.8763783746768285e-28, -1.6228082401557593e-28, -4.8048675252684453e-29, 2.795855401953378e-29, 6.1669260437890519e-29, 6.2758225272923861e-29, 4.5698018465155039e-29, 2.3512365217350518e-29, 4.7666714821118864e-30, -6.823077278411171e-30, -1.123896793996248e-29, -1.0490335178265332e-29, -7.1293155938604756e-30, -3.286341804190438e-30, -2.6155187122568973e-31, 1.4647909761246386e-30, 1.9957427886559242e-30, 1.7241293426918135e-30}; + static constexpr double chirp_in[4096] = {1, 0.99999992642979929, 0.99999882287700514, 0.99999404081958787, 0.9999811660875062, 0.99995401897637071, 0.99990465453387189, 0.99982336314626385, 0.99969867158853654, 0.99951734473821929, 0.99926438818900221, 0.998923052036508, 0.99847483614453059, 0.99789949723582638, 0.99717505818699503, 0.99627781994202647, 0.99518237649358454, 0.9938616334148932, 0.99228683045801158, 0.99042756876612315, 0.98825184327798898, 0.98572608093165093, 0.98281518530153245, 0.97948258832792745, 0.9756903098201305, 0.97139902543374301, 0.96656814383854717, 0.96115589380530031, 0.95511942194735522, 0.94841490185561306, 0.94099765536237645, 0.93282228666059408, 0.92384282998911005, 0.91401291157120323, 0.90328592646221384, 0.89161523092170281, 0.87895435087564089, 0.86525720697385833, 0.85047835667664762, 0.83457325372130264, 0.81749852522376165, 0.79921226656174948, 0.77967435406322239, 0.75884677538693723, 0.73669397733007314, 0.7131832306305963, 0.68828501114913054, 0.66197339661628929, 0.6342264779166199, 0.60502678364962148, 0.57436171646195799, 0.54222399938345511, 0.50861213012343165, 0.4735308409942906, 0.43699156182725674, 0.39901288293222104, 0.35962101483159181, 0.31885024116901001, 0.27674336086026408, 0.2333521152185779, 0.18873759545291671, 0.14297062560971868, 0.096132115709591626, 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0.91401291157148634, -0.93488015141986835, 0.95270229095934222, -0.96754459005129689, 0.97948258832790669, -0.98860097853575635, 0.99499250904627312, -0.99875692121885906, 0.99999992642979951, -0.99883222683233175, 0.99536858315373955, -0.98972693214479546, 0.98202755565360222, -0.97239230268577204, 0.96094386528012321, -0.94780510850434307, 0.93309845444673789, -0.91694531966419934, 0.89946560517507124, -0.88077723780042294, 0.86099576136681266, -0.84023397603959249, 0.81860162390640867, -0.796205118714578, 0.77314731759783095, -0.74952733250471737, 0.72544037896198199, -0.70097765980604587, 0.67622628148050334, -0.65126920047273773, 0.62618519753795332, -0.60104887736144608, 0.57593069136480424, -0.55089698145218191, 0.52601004251397765, -0.50132820166018488, 0.47690591218530526, -0.45279386036808306, 0.4290390833651167, -0.40568509645037554, 0.3827720280763382, -0.36033676125198227, 0.33841307983513402, -0.31703181849472845, 0.29622101515464083, -0.2760060647928777, 0.25640987367073959, -0.23745301300816751, 0.2191538713382635, -0.20152880479604404, 0.18459228461925636, -0.16835704134700888, 0.15283420512977428, -0.13803344170061341, 0.12396308361540023, -0.110630256377754, 0.098040999160336914, -0.086200379880266867, 0.075112604335562244, -0.064781119288953887, 0.055208709333225685, -0.046397587328288914, 0.038349478447046295, -0.03106569760236999, 0.024547220292490568, -0.018794746789342908, 0.013808759594209193, -0.0095895741816169593, 0.0061373830151254354, -0.0034522927602768901, 0.0015343547837478589, -0.00038358883724551112, -4.1594761818964385e-13}; + static constexpr double chirp[4096] = {0, 5.0582256097181565e-05, 0.00065753402232148189, 0.0041720801375424816, 0.017328672893920774, 0.053313825769634053, 0.13029862505288234, 0.26470779198940592, 0.46139609319676306, 0.70611390645071914, 0.96532761604149453, 1.1947409309427441, 1.3532695974140914, 1.416514417514624, 1.3842154427559588, 1.2791282976062817, 1.1384781063389124, 1.0018452678656087, 0.90006929423275039, 0.84861621355446437, 0.84667951844679523, 0.88112044111659282, 0.93298396104438341, 0.98404169724786239, 1.0214342059905035, 1.0395649487891543, 1.0394550684021751, 1.0264658038626284, 1.0075146931731489, 0.98872490705993943, 0.97403483915730937, 0.96485358417363987, 0.96052058922233896, 0.95917661448852565, 0.95866595564515988, 0.95720859567002681, 0.95373499653014226, 0.94790840489755357, 0.93993879112141121, 0.93031428182978837, 0.91955415044834343, 0.90804387888568516, 0.89596783704593741, 0.88332215158724958, 0.86997439980059221, 0.85573613863929066, 0.84042345896636172, 0.82389346651524031, 0.80605589768565278, 0.7868663076355189, 0.76630992665217823, 0.74438436713540812, 0.72108651070335761, 0.69640566787635461, 0.67032254316189588, 0.64281211240520508, 0.61384818357925741, 0.58340783172384592, 0.55147465690326891, 0.51804056337983695, 0.48310629173051656, 0.44668118979260918, 0.40878272375333369, 0.36943609902134755, 0.32867417792224213, 0.2865377194370623, 0.24307586197146205, 0.19834672917075102, 0.15241804665375863, 0.10536769196069852, 0.05728414037959758, 0.0082668018053818557, -0.041573737527013148, -0.092115549306625619, -0.14322525838184264, -0.19475799243658348, -0.24655738829046367, -0.29845566342107976, -0.35027376457953097, -0.40182160587044469, -0.45289840736503528, -0.50329314325484542, -0.55278510652714019, -0.60114459557132105, -0.64813372709429162, -0.69350737909616977, -0.73701426720963137, -0.77839815721949179, -0.81739921590219966, -0.85375550138554701, -0.88720459302066468, -0.91748535931450714, -0.94433986083891008, -0.96751538325526687, -0.98676659370255249, -1.0018578118080776, -1.0125653845029372, -1.018680151662078, -1.0200099873483635, -1.0163823991320342, -1.0076471655991064, -0.99367898977843006, -0.9743801438368086, -0.94968307804859897, -0.91955296477782755, -0.88399014605714288, -0.84303245135143801, -0.7967573502995583, -0.74528390368218633, -0.68877447461680963, -0.62743616108232791, 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1.2875599070195016, 1.2850519468853863, 1.1965449126781673, 1.0270271300149243, 0.78706681374993981, 0.4922181045083826, 0.16206623878964074, -0.18103424270199417, -0.5134505950336401, -0.81189528715933112, -1.0550714404877171, -1.2252239848486512, -1.3094823391729999, -1.3008909153930368, -1.1990422784276356, -1.0102534194909929, -0.74725677857407502, -0.4284123456690786, -0.076482959743739407, 0.28295082946158895, 0.62332993943967241, 0.91908025498082213, 1.1475562462065079, 1.2908164060488643, 1.3370893434288993, 1.2818077391835223, 1.1281161036654785, 0.88679562689515012, 0.57559286335704751, 0.21798539816429605, -0.15853655583234222, -0.52455218068243936, -0.851001604854147, -1.111510218584896, -1.2845596623021418, -1.3553248329153058, -1.3170167192268722, -1.1716054110895886, -0.92984403755763489, -0.61056937389100763, -0.23931421326904906, 0.15367447060798051, 0.53586405519441149, 0.8751207497558966, 1.1424304967955847, 1.3144255926912949, 1.3754945614845602, 1.3192806600801201, 1.1494203370304195, 0.87943382741753251, 0.53175117303037489, 0.13593248538411773, -0.27378530295023928, -0.66141829636460603, -0.99239553808733971, -1.2366729033233586, -1.3715192287419571, -1.3837126201827157, -1.2709293349589583, -1.0421738832105893, -0.71718189408113586, -0.32481989105422931, 0.099399800973352104, 0.51648400778931469, 0.88752753509829041, 1.1773621777909318, 1.3579433477583116, 1.4111448451145683, 1.3306775050439876, 1.1229218443583646, 0.80656248259563379, 0.41102452672211814, -0.026171079985269633, -0.46290634598610692, -0.85650045153363208, -1.1678969039358629, -1.3655929529793935, -1.4289124119372212, -1.3502754023852066, -1.1362079274497472, -0.80695309132478821, -0.39468334838367769, 0.059543935370951831, 0.5098116015364087, 0.90996219323847205, 1.2183511291192997, 1.4022436985691216, 1.441387072702242, 1.3303597126226152, 1.0794164611922905, 0.71369778121475558, 0.27084143939630451, -0.20279298408996227, -0.656920530039383, -1.0426599604363282, 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2.4293392818230952e-14, 2.4596684823456616e-15, -1.5862697711355872e-13, -1.3806803058702757e-13, -2.7951707788631541e-13, -1.6336922998216527e-13, -2.4561869736445391e-13, -5.815380593526473e-14, -1.2676786568166162e-13, 4.5151450395360115e-14, -7.8070877670630145e-14, 2.2433091625626012e-14, -1.5295996755445782e-13, -8.8197190436373196e-14, -2.4021600274247781e-13, -1.4353054606387056e-13, -2.2186320434904733e-13, -8.7343150832579208e-14, -1.1474702481598098e-13, 1.4209750184238784e-14, -2.458557175118864e-15, 9.1904965354629858e-14, 7.2845897337251581e-14, 1.3320480786102595e-13, 1.1716470079293356e-13, 1.4917153138270002e-13, 1.3063194189560923e-13, 1.2426416165045411e-13, 9.0863585779825742e-14, 5.3884393962869842e-14, 3.6616973423655649e-14, 2.8863443888660703e-14, 8.2915257301687147e-14, 1.2348670250717962e-13, 1.8876419994797052e-13, 1.4658895249047713e-13, 5.874617673286113e-14, -1.7737177049651724e-13, -4.096800294974912e-13, -6.7395497480872944e-13, -7.7633933353096762e-13, -7.8887699324348137e-13, -6.1225142997437497e-13, -4.3048836793468243e-13, -2.2358684185781047e-13, -1.6853592089624558e-13, -1.7686991194559853e-13, -3.0386503995514028e-13, -3.7635157170605796e-13, -4.0741979153444477e-13, -2.8243585855486364e-13, -1.0397557110002759e-13, 1.242055503586359e-13, 2.5456183385189068e-13, 2.8990588955054436e-13, 1.7993369110218954e-13, 2.1077445886731605e-14, -1.5130066389210453e-13, -2.4309899118680686e-13, -2.6011458205453877e-13, -1.9862006462277593e-13, -1.2058770323432333e-13, -5.5550582309018409e-14, -3.6254074015865806e-14, -5.3250128915702244e-14, -8.5922812105305307e-14, -1.0660108863344564e-13, -9.2012043871689958e-14, -4.4098263181271274e-14, 3.2957686059431612e-14, 1.0613339769755328e-13, 1.6119929420162563e-13, 1.6653312165685816e-13, 1.3243683358093658e-13, 5.9061106970782068e-14, -8.9678969545509135e-15, -5.5404851984509201e-14, -4.3341259671914739e-14, 9.2086575994784758e-15, 9.3167220628891795e-14, 1.5490749958810279e-13, 1.8010084119586892e-13, 1.4601782782029671e-13, 8.5832345598406759e-14, 1.6058548669420011e-14, -2.3294906991875794e-14, -3.8649374770483719e-14, -3.1204541310917919e-14, -3.7904019658217825e-14, -6.5380440319486033e-14, -1.2108293629352861e-13, -1.6689902972567665e-13, -1.7130780911108097e-13, -9.4262051370799446e-14, 5.5361724454966801e-14, 2.4370183469976311e-13, 3.9675240598045693e-13, 4.6025306843174886e-13, 4.0780457827359166e-13, 2.7678746000367981e-13, 1.328053234061783e-13, 5.0859373339879298e-14, 5.9517229130680825e-14, 1.3600586280836709e-13, 2.0700698337287101e-13, 2.0019029006523121e-13, 7.8492264703427898e-14, -1.2908449401613856e-13, -3.4656966966389868e-13, -4.8461923747377495e-13, -4.9216254910137091e-13, -3.7909432452860664e-13, -2.1008915839101049e-13, -5.9813620358485208e-14, 3.2582066334356377e-14, 8.7582624834459891e-14, 1.6587401863906175e-13, 3.2178090963761943e-13, 5.5560541637708931e-13, 7.9943017885090507e-13, 9.4717026563384326e-13, 9.1417986080924159e-13, 6.8979812303936736e-13, 3.5116348419403282e-13}; +}; + +struct case_tu_zeta_8_100Hz_1000Hz_z50 +{ + static constexpr int order = 8; + static constexpr double cutoff_hz = 100.0; + static constexpr double sample_rate_hz = 1000.0; + + static constexpr double b[9] = {2.3812677462607593e-05, 0.00019050141970086045, 0.00066675496895301091, 0.001333509937906022, 0.0016668874223825308, 0.001333509937906016, 0.00066675496895300819, 0.00019050141970086096, 2.3812677462607285e-05}; + static constexpr double a[9] = {1, -5.1034466162912864, 11.988076114807075, -16.809103337043631, 15.34671345988076, -9.3338360245486633, 3.6964150643578555, -0.87379677191372795, 0.095074156182046524}; + static constexpr double step[256] = {2.3812677462607593e-05, 0.00033584082538484859, 0.0023095466001201662, 0.010375411164600272, 0.034424539795041412, 0.09040717690962069, 0.19658999933154589, 0.36530419570543515, 0.59362719869734382, 0.85834216395073692, 1.1190218019338996, 1.3290649749343839, 1.4504611128995919, 1.4662240085315441, 1.3855808232347588, 1.2402558306736522, 1.0738103890031685, 0.92838212863487568, 0.83353134876722068, 0.80046230522633932, 0.82252938490211358, 0.88071367261769007, 0.95142949382273256, 1.0138539484127398, 1.0547524660917118, 1.0700122872831408, 1.0632748394027882, 1.0428146846347677, 1.0180203246594666, 0.99657576146388704, 0.98292989065619141, 0.97810232057075153, 0.98047913607690296, 0.98707583799595744, 0.99477320286921822, 1.0011936872937721, 1.0050921961449355, 1.0063114942919793, 1.0054577213815918, 1.0034782253883778, 1.0012903746441142, 0.99954579115962039, 0.9985481794569524, 0.99829414346987688, 0.99858294317114948, 0.99914093538183169, 0.99972145263195822, 1.0001615424769243, 1.0003955083192013, 1.0004371242450099, 1.0003467478571795, 1.0001978316857632, 1.0000522127725262, 0.99994770662431032, 0.99989684716688343, 0.9998929760595785, 0.99991927348060239, 0.99995715785602135, 0.99999199361832902, 1.000015561145275, 1.0000258392310706, 1.0000251808998739, 1.0000179944242231, 1.000008753638149, 1.0000007560373709, 0.99999568112140969, 0.99999376128179795, 0.9999942815352294, 0.99999614369182011, 0.9999983153271601, 1.0000000853969806, 1.0000011319361657, 1.0000014568247617, 1.0000012576415291, 1.0000007964696791, 1.0000003028361371, 0.99999992394059634, 0.99999971713519242, 0.99999966998638756, 0.99999973147138066, 0.99999984132197151, 0.99999995019828214, 1.0000000288098616, 1.0000000678932106, 1.0000000727086911, 1.0000000557634166, 1.0000000304707091, 1.0000000071119346, 0.9999999912842692, 0.99999998425977532, 0.99999998438632831, 0.99999998872462514, 0.99999999437578646, 0.99999999925975613, 1.0000000023529991, 1.0000000035394758, 1.000000003272945, 1.0000000022202014, 1.0000000009911605, 0.99999999999467315, 0.99999999940847006, 0.99999999922492178, 0.99999999932904382, 0.99999999957408692, 0.99999999983488808, 1.0000000000334048, 1.0000000001408078, 1.0000000001651705, 1.0000000001340612, 1.0000000000789293, 1.0000000000248508, 0.99999999998625144, 0.99999999996733058, 0.99999999996513411, 0.99999999997333378, 0.99999999998537303, 0.99999999999636779, 1.0000000000037512, 1.0000000000070117, 1.0000000000069771, 1.0000000000050275, 1.0000000000024873, 1.0000000000002882, 0.99999999999888134, 0.99999999999831468, 0.99999999999838751, 0.9999999999988094, 0.99999999999931566, 0.99999999999972689, 0.99999999999996225, 1.0000000000000209, 0.99999999999995071, 0.99999999999981659, 0.99999999999967892, 0.99999999999958389, 0.99999999999955724, 0.99999999999960076, 0.99999999999969136, 0.99999999999978817, 0.99999999999985034, 0.99999999999985834, 0.99999999999982281, 0.99999999999977485, 0.9999999999997482, 0.9999999999997633, 0.99999999999981926, 0.99999999999989475, 0.99999999999995692, 0.99999999999997558, 0.9999999999999365, 0.99999999999984679, 0.99999999999973044, 0.99999999999962119, 0.99999999999955191, 0.99999999999954303, 0.99999999999959543, 0.99999999999969225, 0.99999999999980682, 0.9999999999999134, 0.99999999999999334, 1.000000000000036, 1.0000000000000369, 0.99999999999999512, 0.9999999999999134, 0.99999999999979972, 0.99999999999966915, 0.99999999999954303, 0.99999999999944267, 0.99999999999938405, 0.99999999999937605, 0.99999999999942046, 0.99999999999951195, 0.99999999999963807, 0.9999999999997784, 0.99999999999990719, 1.0000000000000031, 1.0000000000000591, 1.0000000000000813, 1.0000000000000813, 1.0000000000000653, 1.0000000000000333, 0.99999999999998535, 0.99999999999992584, 0.99999999999986544, 0.99999999999981837, 0.99999999999979616, 0.9999999999998006, 0.99999999999982281, 0.99999999999984945, 0.99999999999987166, 0.9999999999998912, 0.99999999999991784, 0.99999999999995959, 1.0000000000000129, 1.0000000000000591, 1.0000000000000706, 1.0000000000000235, 0.99999999999990896, 0.99999999999974021, 0.99999999999955014, 0.99999999999937961, 0.99999999999926592, 0.99999999999923483, 0.99999999999929612, 0.99999999999944089, 0.99999999999964073, 0.99999999999985478, 1.0000000000000413, 1.0000000000001648, 1.0000000000002021, 1.000000000000147, 1.0000000000000138, 0.99999999999983613, 0.99999999999965761, 0.99999999999951816, 0.99999999999944356, 0.99999999999944, 0.99999999999949418, 0.99999999999957945, 0.99999999999966471, 0.99999999999972422, 0.99999999999974554, 0.99999999999973221, 0.99999999999969935, 0.99999999999966471, 0.99999999999964073, 0.99999999999963451, 0.99999999999965228, 0.99999999999970024, 0.99999999999978018, 0.99999999999988409, 0.99999999999999334, 1.0000000000000822, 1.0000000000001266, 1.0000000000001115, 1.0000000000000377, 0.99999999999992495, 0.99999999999980416, 0.99999999999970646, 0.99999999999965317, 0.99999999999964784, 0.99999999999967537, 0.99999999999971179, 0.99999999999973754, 0.99999999999974465, 0.99999999999973488, 0.99999999999971356, 0.99999999999968603, 0.99999999999965938, 0.99999999999964428, 0.9999999999996505, 0.9999999999996807, 0.99999999999972777, 0.99999999999977485, 0.99999999999979972, 0.99999999999978462}; + static constexpr double impulse[256] = {2.3812677462607593e-05, 0.00031202814792224097, 0.0019737057747353176, 0.0080658645644801057, 0.024049128630441147, 0.055982637114579292, 0.1061828224219252, 0.16871419637388935, 0.22832300299190933, 0.26471496525339555, 0.26067963798316818, 0.21004317300049324, 0.12139613796521953, 0.015762895631964646, -0.080643185296772849, -0.14532499256109055, -0.16644544167045816, -0.14542826036825784, -0.094850779867618806, -0.033069043540857712, 0.02206707967577104, 0.058184287715537145, 0.070715821204967555, 0.062424454589908474, 0.040898517678868651, 0.01525982119134292, -0.0067374478804022864, -0.020460154768026248, -0.024794359975273572, -0.021444563195545246, -0.013645870807682842, -0.0048275700854634451, 0.0023768155060970679, 0.0065967019189922451, 0.0076973648732177151, 0.006420484424545847, 0.0038985088511880664, 0.001219298147084321, -0.00085377291035032988, -0.0019794959931908008, -0.002187850744249039, -0.0017445834844731466, -0.00099761170262926621, -0.00025403598702130985, 0.00028879970132319392, 0.00055799221070505865, 0.00058051725010665025, 0.00044008984490531439, 0.00023396584219204705, 4.1615925725851498e-05, -9.0376387882540137e-05, -0.00014891617141747003, -0.00014561891318318415, -0.00010450614812155829, -5.085945731957771e-05, -3.8711072152412059e-06, 2.6297421070518922e-05, 3.7884375409184579e-05, 3.4835762242927835e-05, 2.3567526840649557e-05, 1.0278085674905442e-05, -6.5833130091077021e-07, -7.1864757079545297e-06, -9.2407860633574713e-06, -7.9976006965457936e-06, -5.0749158295637894e-06, -1.919839469306934e-06, 5.2025354143697905e-07, 1.8621566373350149e-06, 2.1716353128838864e-06, 1.7700697308361514e-06, 1.0465390623010225e-06, 3.2488847913646578e-07, -1.9918330687757583e-07, -4.6117185712581722e-07, -4.9363347816210085e-07, -3.7889542465184459e-07, -2.0680527261042693e-07, -4.7148701897826226e-08, 6.1485031089929148e-08, 1.0985054634069927e-07, 1.0887619030020367e-07, 7.8611410886140637e-08, 3.908317356919489e-08, 4.8153415838919977e-09, -1.694534206082712e-08, -2.5292686657696651e-08, -2.3358673075064228e-08, -1.5827515940003934e-08, -7.0243441681142035e-09, 1.266575501594251e-10, 4.3383320363211703e-09, 5.6511345317913372e-09, 4.883914503712175e-09, 3.0931998443991055e-09, 1.1864733329400411e-09, -2.6649122291944674e-10, -1.0526832456036686e-09, -1.2289975189614478e-09, -9.9649628122200384e-10, -5.8627787531808725e-10, -1.8367202391910063e-10, 1.0398979896896187e-10, 2.4494886107764382e-10, 2.6077960266362257e-10, 1.9857760751786554e-10, 1.0752604883251079e-10, 2.4506378636337603e-11, -3.0990878725949077e-11, -5.5072000372309846e-11, -5.408725425085327e-11, -3.8660019303755497e-11, -1.8999348677726573e-11, -2.2601558048324602e-12, 8.1651630611663587e-12, 1.2025373508954693e-11, 1.0979979088547989e-11, 7.3510057726966661e-12, 3.2088235916043823e-12, -9.3948912979512115e-14, -1.9973989985981484e-12, -2.5595562315300985e-12, -2.1837215988383949e-12, -1.3637980027055615e-12, -5.1045940156183522e-13, 1.2743448529796701e-13, 4.6407848247162582e-13, 5.324519880247574e-13, 4.2570926441379159e-13, 2.4639007832847398e-13, 7.4220149656063458e-14, -4.6355641834024807e-14, -1.0369596485448691e-13, -1.0846415218003056e-13, -8.1358625132628781e-14, -4.3202657559769643e-14, -9.1454816205643513e-15, 1.3142555745157085e-14, 2.2453520780501383e-14, 2.1666330754778494e-14, 1.5238016115306685e-14, 7.3110556428952601e-15, 7.016443817463709e-16, -3.3209651745103731e-15, -4.7350441603443533e-15, -4.24803598663925e-15, -2.7945546063750567e-15, -1.1826685870521706e-15, 7.605945057725291e-17, 7.8306236787319798e-16, 9.7580115005406733e-16, 8.1796631360951909e-16, 5.0104190084843687e-16, 1.796728173065081e-16, -5.5531797256600329e-17, -1.7601840511074374e-16, -1.9698519728570401e-16, -1.5470552151561215e-16, -8.759817400769711e-17, -2.4700207352189011e-17, 1.8394701655755888e-17, 3.8162700893936593e-17, 3.9018366828524668e-17, 2.8734834587789651e-17, 1.4872651316244692e-17, 2.7789652053728929e-18, -4.953765744724374e-18, -8.0376275546731937e-18, -7.5921477623428729e-18, -5.23792334366397e-18, -2.4358250592694886e-18, -1.5062019303415802e-19, 1.2054183510010444e-18, 1.652061089384654e-18, 1.4522113158149028e-18, 9.3589892669570924e-19, 3.8043875268962498e-19, -4.3909738060010177e-20, -2.755555705226148e-19, -3.3241866153586597e-19, -2.7315474397794289e-19, -1.6359103981551819e-19, -5.5453662412776352e-20, 2.1949119598295656e-20, 6.0296181665260261e-20, 6.5619970482181236e-20, 5.052251770996804e-20, 2.7887352800845064e-20, 7.1923411531972085e-21, -6.6629769971804751e-21, -1.2762077941392622e-20, -1.2726651691020222e-20, -9.1848009895235466e-21, -4.6138089993822407e-21, -7.1840445262178889e-22, 1.7116261884813744e-21, 2.6295604354160509e-21, 2.4273613518366332e-21, 1.6397239070632293e-21, 7.3497715059335985e-22, 1.3703932176304763e-23, -4.0283567090677445e-22, -5.2963904433109002e-22, -4.5554381075692995e-22, -2.8703375531946094e-22, -1.1118561607247645e-22, 2.0156087476654949e-23, 8.9668392211086285e-23, 1.0457453991352423e-22, 8.4133992113350836e-23, 4.9151227327197108e-23, 1.5548165827613483e-23, -7.9572879411802476e-24, -1.9181184590598489e-23, -2.0279043543141395e-23, -1.5288547296464186e-23, -8.2034956267413321e-24, -1.8855078470091374e-24, 2.2437733944118288e-24, 3.9792094283596626e-24, 3.8672009505316208e-24, 2.7317612922794417e-24, 1.3269271317049787e-24, 1.5772327548306623e-25, -5.5297787277496855e-25, -8.0511931362593193e-25, -7.2579864333723324e-25, -4.7941473947393376e-25, -2.0605584452537719e-25, 6.9056576688128742e-27, 1.2639341229294012e-25, 1.5946708209780047e-25, 1.3411352990444836e-25, 8.2488429381706434e-26, 3.0205117391824682e-26, -7.9565701237907863e-27, -2.7490748872139389e-26, -3.0996172640960716e-26, -2.4398937462627458e-26, -1.3876923671476143e-26, -4.0376221452382427e-27, 2.6842066441029954e-27, 5.76675898965001e-27, 5.9224111176127828e-27, 4.3686743286656346e-27, 2.2728673410730452e-27, 4.4984871896372276e-28, -7.1225939906459097e-28, -1.1759255581380865e-27, -1.1135667700781469e-27, -7.6923326130690294e-28, -3.6001261660992325e-28, -2.7408502603899058e-29, 1.6934502918439868e-28, 2.342520637726831e-28, 2.0617528221963063e-28}; + static constexpr double chirp_in[4096] = {1, 0.99999992642979929, 0.99999882287700514, 0.99999404081958787, 0.9999811660875062, 0.99995401897637071, 0.99990465453387189, 0.99982336314626385, 0.99969867158853654, 0.99951734473821929, 0.99926438818900221, 0.998923052036508, 0.99847483614453059, 0.99789949723582638, 0.99717505818699503, 0.99627781994202647, 0.99518237649358454, 0.9938616334148932, 0.99228683045801158, 0.99042756876612315, 0.98825184327798898, 0.98572608093165093, 0.98281518530153245, 0.97948258832792745, 0.9756903098201305, 0.97139902543374301, 0.96656814383854717, 0.96115589380530031, 0.95511942194735522, 0.94841490185561306, 0.94099765536237645, 0.93282228666059408, 0.92384282998911005, 0.91401291157120323, 0.90328592646221384, 0.89161523092170281, 0.87895435087564089, 0.86525720697385833, 0.85047835667664762, 0.83457325372130264, 0.81749852522376165, 0.79921226656174948, 0.77967435406322239, 0.75884677538693723, 0.73669397733007314, 0.7131832306305963, 0.68828501114913054, 0.66197339661628929, 0.6342264779166199, 0.60502678364962148, 0.57436171646195799, 0.54222399938345511, 0.50861213012343165, 0.4735308409942906, 0.43699156182725674, 0.39901288293222104, 0.35962101483159181, 0.31885024116901001, 0.27674336086026408, 0.2333521152185779, 0.18873759545291671, 0.14297062560971868, 0.096132115709591626, 0.048313379525507044, -0.00038358883718521143, -0.049845885660697295, -0.099949521968676278, -0.15055930804420456, -0.20152880479580074, -0.25270034875965974, -0.30390515757424702, -0.35496352274746379, -0.4056850964493664, -0.45586927889726703, -0.50530571264738766, -0.55377488976053313, -0.60104887736125978, -0.64689216655377857, -0.69106264898686465, 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0.9583554441811033, 0.98137012613941343, 0.99536858315359633, 0.99999882287700514, 0.99499250904629088, 0.98017248784854372, 0.95545967068985072, 0.92087913039150604, 0.87656526714078131, 0.82276590205092281, 0.7598451601445787, 0.68828501114912999, 0.60868534583648182, 0.52176247787447139, 0.42834597636238814, 0.32937375243207906, 0.22588534448833064, 0.11901337075840943, 0.0099731446764950698, -0.099949521968675376, -0.20941227153109016, -0.31703181849493733, -0.42140110777252832, -0.52110785216033795, -0.61475425146856222, -0.70097765980614957, -0.77847193249159985, -0.84600915084848771, -0.90246139255836488, -0.94682218813969621, -0.97822728137500836, -0.99597429399523896, -0.99954088350734849, -0.98860097853545059, -0.9630386791909602, -0.92295942146047771, -0.86869802495628545, -0.80082327303127221, -0.72013871347380276, -0.6276794168385581, -0.52470448779900736, -0.41268519236054085, -0.29328863974147795, -0.16835704134703858, -0.039882659401103367, 0.09002134692995295, 0.21915387133951877, 0.34526219919889106, 0.46608122869670787, 0.57937497068616284, 0.68297963205683976, 0.7748475038260193, 0.85309080213204103, 0.91602455057213206, 0.96220754845479073, 0.99048044398756308, 0.99999992642979929, 0.99026806874157036, 0.96115589380530075, 0.91292030397297208, 0.84621360604462514, 0.7620849817471087, 0.66197339661628984, 0.54769160642970061, 0.42140110777252909, 0.2855780849582823, 0.14297062560971963, -0.0034522927617008812, -0.15055930804420603, -0.29512169978712482, -0.43388373911755923, -0.56363695259073099, -0.68129669877065169, -0.78397929272312616, -0.8690777846452038, -0.9343344109714895, -0.97790769530701704, -0.99843218742645046, -0.9950688952752843, -0.96754459005089155, -0.9161783491799238, -0.84189394582437793, -0.74621699410734765, -0.63125611230023981, -0.49966776553729064, -0.35460488704253801, -0.19964984230321187, -0.038732782291660182, 0.1239630836160234, 0.28410729153688535, 0.43733655464327453, 0.57937497068616117, 0.70615681024133081, 0.81394842128514178, 0.89946560517441376, 0.95998273974085324, 0.99342995728005579, 0.99847483614453048, 0.97458533851213081, 0.92207112396763224, 0.84210088492281143, 0.73669397733007302, 0.60868534583648282, 0.46166354924637748, 0.29988255844234957, 0.12814889944360713, -0.048313379525509959, -0.2240165573282355, -0.39337772332802823, -0.55089698145210475, -0.69133985418658528, -0.80991791317645134, -0.90246139255836466, -0.96557747552099782, -0.99678810088010106, -0.99464152469519274, -0.95879249417982837, -0.89004674065898659, -0.79036655916348131, -0.66283548908721601, -0.51158150864681218, -0.34165966256345809, -0.15889660674110515, 0.030298881123715433, 0.21915387133951658, 0.40077079795557791, 0.56838039236265869, 0.71559896074412133, 0.83668028795140859, 0.92675215601078997, 0.98202755565343003, 0.9999811660875062, 0.97948258832792812, 0.92087913039150737, 0.82602263024340583, 0.6982368180860713, 0.54222399938345556, 0.36391230372523414, 0.17024729818871898, -0.031065697601372073, -0.23185984575257096, -0.42383465395227493, -0.59890073081561812, -0.74952733250515868, -0.86907778464520447, -0.95211766591071434, -0.99468110844139468, -0.99448172624941999, -0.95105651629515231, -0.86583354565218051, -0.74211726695732327, -0.58498878606033655, -0.4011222042584015, -0.19852211184659407, 0.013808759593047724, 0.22625900242972455, 0.42903908336572988, 0.61263423194927435, 0.76825896913416514, 0.88829153315462384, 0.96666642869321839, 0.99920437022617881, 0.98386102377908657, 0.92087913039150748, 0.81283271986127859, 0.66455703958209811, 0.48296332366677897, 0.27674336086027079, 0.055974700631925785, -0.16835704134703514, -0.38489726725106244, -0.58249718413303753, -0.75079558121367618, -0.8807772378003631, -0.96527750388896616, -0.99940414055107052, -0.98085070531978158, -0.91008053699473446, -0.79036655916348153, -0.62767941683856299, -0.43042453941683434, -0.20903717243428122, 0.024547220293044292, 0.25752199792776376, 0.47690591218475858, 0.6702700665282546, 0.82645479681547807, 0.93623487063973665, 0.99289265158964735, 0.99266256453924517, 0.93501624268541406, 0.82276590205092304, 0.66197339661628929, 0.46166354924637809, 0.23335211521857976, -0.0095895741826257964, -0.2527003487596628, -0.48128300660049478, -0.68129669877065224, -0.84023397604037153, -0.9479273461671317, -0.99723238944639814, -0.98454015586016264, -0.91008053699473168, -0.77799016180242753, -0.59613248546922271, -0.37567331729755787, -0.13043111482230935, 0.12396308361602595, 0.37104727229943907, 0.59459149924435239, 0.77967435406322239, 0.91370141006883898, 0.98729522857459673, 0.99499250904629022, 0.93569463493371918, 0.81283271986127059, 0.63422647791661613, 0.41163671634210847, 0.16003264759379121, -0.1033839317883601, -0.36033676125160785, -0.59273942915648381, -0.78397929272312317, -0.9201297299918394, -0.99100117924590703, -0.99094976176793526, -0.91937694488673249, -0.78087390759575936, -0.58498878606034577, 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0.40813786714038369, 0.66570278481121115, 0.8609957613666358, 0.97501319700248934, 0.99627781994202547, 0.92207112396763291, 0.75884677538694123, 0.5217624778744816, 0.23335211521858765, -0.07855469695947305, -0.38348066697558636, -0.65126920047307302, -0.85508594369616242, -0.97415389500088145, -0.99593983608294245, -0.91755646763273546, -0.74621699410735365, -0.49867062121686356, -0.19964984230321028, 0.12053668025531283, 0.42903908336570928, 0.69383011851338472, 0.88705510950404576, 0.98801617809016951, 0.98546660117894946, 0.878954350875643, 0.67904717547725413, 0.40638618731229703, 0.089639308903445084, -0.23745301300756336, -0.53964301532054448, -0.78397929272311817, -0.94343906000553723, -0.9999855802751384, -0.9466986959828072, -0.78871871430905482, -0.54286844851759386, -0.23596226275400908, 0.098040999161486744, 0.42174894365151211, 0.69851136524894031, 0.89659687467502402, 0.99289265158964801, 0.97569030982012916, 0.84621360604462359, 0.6186796598453691, 0.31885024116900984, 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-0.94780510850434307, 0.93309845444673789, -0.91694531966419934, 0.89946560517507124, -0.88077723780042294, 0.86099576136681266, -0.84023397603959249, 0.81860162390640867, -0.796205118714578, 0.77314731759783095, -0.74952733250471737, 0.72544037896198199, -0.70097765980604587, 0.67622628148050334, -0.65126920047273773, 0.62618519753795332, -0.60104887736144608, 0.57593069136480424, -0.55089698145218191, 0.52601004251397765, -0.50132820166018488, 0.47690591218530526, -0.45279386036808306, 0.4290390833651167, -0.40568509645037554, 0.3827720280763382, -0.36033676125198227, 0.33841307983513402, -0.31703181849472845, 0.29622101515464083, -0.2760060647928777, 0.25640987367073959, -0.23745301300816751, 0.2191538713382635, -0.20152880479604404, 0.18459228461925636, -0.16835704134700888, 0.15283420512977428, -0.13803344170061341, 0.12396308361540023, -0.110630256377754, 0.098040999160336914, -0.086200379880266867, 0.075112604335562244, -0.064781119288953887, 0.055208709333225685, 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0.95126132057384027, 0.9528669334393679, 0.95497113912177967, 0.95515247285031868, 0.95212098124659994, 0.9456737473366208, 0.93637053514561963, 0.92511177156817892, 0.91276752558685015, 0.89994192700963938, 0.88689119796955984, 0.87356468895699024, 0.85971487071425312, 0.84502202660783221, 0.82919439985977028, 0.81202521869403321, 0.79340654103059916, 0.77331179160057584, 0.75176321552992031, 0.72879874872858197, 0.70444768415191295, 0.67871865935613152, 0.65159880599622377, 0.62306026344940102, 0.59306964729880429, 0.56159689855742045, 0.52862145087871837, 0.49413516778897315, 0.45814259787508432, 0.42065962599687529, 0.38171162930971692, 0.34133195876678701, 0.29956116082577711, 0.25644698769935009, 0.21204500399140336, 0.16641950121267893, 0.11964445062346742, 0.071804309302028926, 0.022994595493729286, -0.026677767395954555, -0.077094289530358767, -0.12812487265904257, -0.17962783434686738, -0.23144996817706254, -0.28342663381938316, -0.33538188909408839, -0.38712868576873732, 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3.1056894320255664e-13, 3.1279481703893296e-13, 2.3401540308418817e-13, 1.7411918261378556e-13, 8.135640327654875e-14, 3.1600705396612333e-14, 2.3891987292658928e-15, 2.2071903224389622e-14, 7.1452050412436005e-14, 1.2615715831482306e-13, 1.7673020233127841e-13, 1.7777527158160077e-13, 1.5578939979959787e-13, 7.3899802835279693e-14, -2.514305495575353e-15, -1.0466856432956011e-13, -1.5440374029525045e-13, -1.9645782667766093e-13, -1.6545016292873922e-13, -1.2750678588462723e-13, -3.7231285339201252e-14, 2.8789382345307662e-14, 1.0769601212546102e-13, 1.3257582745241627e-13, 1.4281733500492002e-13, 9.1300812328737151e-14, 2.4919502632182386e-14, -7.6404950210629333e-14, -1.5945401500106014e-13, -2.2901089187445274e-13, -2.4777428440686707e-13, -2.2967561961453539e-13, -1.7060967100342682e-13, -9.9628750480649023e-14, -3.5343832081955601e-14, -4.9876010439764418e-16, -6.5781053022219427e-15, -4.5881375955458825e-14, -1.087272429750076e-13, -1.6391622014257957e-13, 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3.2759727259878231e-13, 4.558707240975954e-13, 4.7793711398453134e-13, 3.8990570144846297e-13, 2.3890321094148384e-13, 9.9266644742730756e-14, 3.3918081661181692e-14, 5.8714354552065733e-14, 1.3337348388455981e-13, 1.8317007990332145e-13, 1.4240435350357434e-13, -7.1391828910985066e-15, -2.2254263954570963e-13, -4.2056347452159876e-13, -5.2036162587422625e-13, -4.8627771527900467e-13, -3.4444475029637382e-13, -1.6358946278361612e-13, -1.0450983035524466e-14, 9.0876680697432057e-14, 1.699912933297344e-13, 2.8346642548939826e-13, 4.6758483283961422e-13, 7.0092363611699146e-13, 9.0346692743494369e-13, 9.7603666385430998e-13, 8.5809980236726736e-13, 5.690439048322195e-13, 2.0778607786506894e-13}; +}; + +struct case_tupw_zeta_8_100Hz_1000Hz_z50 +{ + static constexpr int order = 8; + static constexpr double cutoff_hz = 100.0; + static constexpr double sample_rate_hz = 1000.0; + + static constexpr double b[9] = {2.9666476041003112e-05, 0.00023733180832802506, 0.00083066132914808542, 0.0016613226582961693, 0.0020766533228702136, 0.0016613226582961622, 0.00083066132914808542, 0.00023733180832802249, 2.9666476041003058e-05}; + static constexpr double a[9] = {1, -5.0020657233949626, 11.565641324973868, -16.011418752379075, 14.473095752549323, -8.7378045275586125, 3.444409177968617, -0.81295577541808473, 0.088693141125424799}; + static constexpr double step[256] = {2.9666476041003112e-05, 0.00041539194730764772, 0.002832365613652812, 0.012597389322945777, 0.041312128808881091, 0.10704345952859566, 0.22920118228844463, 0.41850263677302357, 0.66676966945035154, 0.94300729338407163, 1.1995494009557317, 1.3867163775970799, 1.4698354200322117, 1.4412417867227509, 1.3223761474573383, 1.1556540940283304, 0.98998413310057409, 0.86582573690858777, 0.80501716958413616, 0.80802845193704331, 0.85820603534797413, 0.9302659027346436, 0.99944953157944894, 1.0483474276155718, 1.0698607111181346, 1.0663818827546241, 1.0464432875929417, 1.0205326976176992, 0.99755868310868157, 0.98282448106770848, 0.97765797667647525, 0.98030056250122022, 0.98740131559224653, 0.9954865791508698, 1.0019832784591605, 1.0056436196815322, 1.0064463906016032, 1.0051798179813807, 1.0029357752106727, 1.0006928344083408, 0.99907831490010079, 0.99831551363222526, 0.9983058139390113, 0.99877368774261099, 0.99940992675987661, 0.99997224427223297, 1.0003296661002639, 1.0004585040599452, 1.0004089729430865, 1.0002630299319739, 1.00009892471505, 0.99997020402759706, 0.99989979381450511, 0.9998851549947736, 0.99990880224474776, 0.99994908859896214, 0.99998803062853292, 1.0000150486567938, 1.0000271190573093, 1.0000266874359254, 1.0000188194292863, 1.0000087125336157, 1.00000014842784, 0.99999496456700432, 0.99999329635426482, 0.99999421506923292, 0.99999641975311193, 0.9999987610028811, 1.0000005117387778, 1.0000014074408965, 1.0000015364348143, 1.0000011721911373, 1.0000006195994839, 1.0000001141971684, 0.99999978223048758, 0.99999964854759615, 0.99999967065840889, 0.99999977845521948, 0.99999990575926856, 1.0000000078597566, 1.000000065663569, 1.0000000807193203, 1.000000066294658, 1.0000000387164756, 1.0000000113827225, 0.99999999208850032, 0.99999998308002724, 0.99999998269689638, 0.99999998746990326, 0.99999999387624272, 0.9999999993833264, 1.0000000027721792, 1.0000000039449983, 1.0000000034869567, 1.0000000022118603, 1.0000000008305918, 0.99999999978770071, 0.99999999924361238, 0.99999999914687732, 0.9999999993378188, 0.99999999964026931, 0.99999999991966448, 1.0000000001046756, 1.0000000001813707, 1.0000000001731328, 1.0000000001181635, 1.0000000000521363, 0.99999999999888733, 0.99999999996847522, 0.99999999996007127, 0.99999999996679834, 0.99999999998028977, 0.99999999999375899, 1.0000000000033078, 1.0000000000078366, 1.0000000000081732, 1.0000000000060079, 1.0000000000030298, 1.0000000000004345, 0.99999999999878786, 0.99999999999813594, 0.99999999999822031, 0.99999999999869016, 0.99999999999924616, 0.99999999999970179, 0.99999999999998512, 1.0000000000001086, 1.0000000000001281, 1.000000000000105, 1.0000000000000793, 1.0000000000000606, 1.0000000000000349, 0.99999999999997891, 0.99999999999988032, 0.99999999999974976, 0.99999999999961919, 0.9999999999995286, 0.99999999999950728, 0.99999999999956057, 0.99999999999966893, 0.99999999999979683, 0.99999999999990963, 0.99999999999998512, 1.0000000000000127, 0.99999999999998868, 0.99999999999991851, 0.99999999999981815, 0.999999999999716, 0.99999999999964762, 0.99999999999964051, 0.99999999999969913, 0.99999999999980305, 0.99999999999991762, 1.0000000000000091, 1.0000000000000544, 1.0000000000000482, 1.0000000000000029, 0.9999999999999416, 0.9999999999998892, 0.99999999999986344, 0.99999999999986788, 0.99999999999989364, 0.99999999999992828, 0.99999999999996292, 0.99999999999999223, 1.0000000000000109, 1.0000000000000118, 0.99999999999998779, 0.99999999999993539, 0.99999999999985989, 0.99999999999977907, 0.99999999999972133, 0.99999999999971689, 0.99999999999978173, 0.99999999999990341, 1.0000000000000393, 1.0000000000001326, 1.0000000000001397, 1.0000000000000526, 0.99999999999990252, 0.99999999999974176, 0.99999999999962008, 0.99999999999956679, 0.99999999999958633, 0.99999999999966449, 0.99999999999977818, 0.99999999999990341, 1.0000000000000162, 1.0000000000000917, 1.0000000000001086, 1.0000000000000606, 0.99999999999996203, 0.99999999999984213, 0.99999999999973288, 0.99999999999965916, 0.99999999999963074, 0.99999999999963962, 0.99999999999966627, 0.99999999999969114, 0.99999999999970623, 0.99999999999972133, 0.99999999999975775, 0.99999999999983147, 0.99999999999993716, 1.0000000000000446, 1.0000000000001095, 1.0000000000000935, 0.99999999999998423, 0.99999999999980393, 0.99999999999960587, 0.99999999999945666, 0.9999999999994087, 0.99999999999947797, 0.99999999999963962, 0.99999999999983857, 1.0000000000000082, 1.0000000000000944, 1.0000000000000739, 0.99999999999996292, 0.99999999999980749, 0.99999999999966271, 0.99999999999957034, 0.99999999999954725, 0.99999999999958811, 0.99999999999967515, 0.99999999999978884, 0.99999999999991407, 1.0000000000000393, 1.0000000000001503, 1.0000000000002285, 1.0000000000002551, 1.000000000000216, 1.0000000000001077, 0.99999999999994249, 0.99999999999975153, 0.99999999999958011, 0.99999999999947531, 0.99999999999946998, 0.99999999999956768, 0.99999999999973821, 0.99999999999992739, 1.0000000000000757, 1.0000000000001406, 1.0000000000001121, 1.0000000000000144, 0.9999999999998892, 0.99999999999977462, 0.99999999999969025, 0.99999999999963785, 0.99999999999961298, 0.99999999999961475, 0.9999999999996485, 0.99999999999971956, 0.99999999999982703, 0.99999999999996114, 1.0000000000001024}; + static constexpr double impulse[256] = {2.9666476041003112e-05, 0.00038572547126664459, 0.0024169736663451642, 0.0097650237092929641, 0.028714739485935309, 0.065731330719714556, 0.12215772275984896, 0.1893014544845788, 0.24826703267732764, 0.27623762393371942, 0.2565421075716583, 0.1871669766413433, 0.08311904243512136, -0.028593633309480948, -0.11886563926544691, -0.16672205342905705, -0.16566996092781694, -0.12415839619205304, -0.06080856732451867, 0.0030112823528447574, 0.050177583410879106, 0.072059867386638887, 0.069183628844811329, 0.048897896036179223, 0.021513283502671066, -0.0034788283633684358, -0.019938595161538942, -0.025910589975132334, -0.022974014508965232, -0.01473420204098462, -0.0051665043912951514, 0.0026425858246594131, 0.0071007530909454174, 0.0080852635585648702, 0.0064966993082581845, 0.0036603412223572274, 0.0008027709200610772, -0.001266572620240828, -0.0022440427707394149, -0.0022429408023706306, -0.0016145195082732534, -0.00076280126788819992, -9.6996931971608628e-06, 0.00046787380364182946, 0.00063623901731921857, 0.00056231751240767066, 0.00035742182807519752, 0.00012883795972282066, -4.9531116815645601e-05, -0.00014594301107396563, -0.00016410521690606895, -0.00012872068747278478, -7.0410213154739978e-05, -1.4638819826036625e-05, 2.3647249871627213e-05, 4.0286354130567603e-05, 3.8942029523429417e-05, 2.7018028250130064e-05, 1.2070400528335878e-05, -4.3162136099204732e-07, -7.86800661109113e-06, -1.0106895635888507e-05, -8.5641057339888672e-06, -5.1838607942513565e-06, -1.6682127118033053e-06, 9.1871496910879945e-07, 2.2046838482254074e-06, 2.3412497127514093e-06, 1.7507358275448477e-06, 8.9570205127391911e-07, 1.2899386695329105e-07, -3.6424369469200881e-07, -5.5259162319537981e-07, -5.0540223035448213e-07, -3.3196654509428497e-07, -1.3368272329694222e-07, 2.2110982370054923e-08, 1.0779694286930587e-07, 1.2730410817288409e-07, 1.0210045724445859e-07, 5.7803705250051426e-08, 1.50556061695369e-08, -1.4424803633496734e-08, -2.7578295734043155e-08, -2.7333834986589095e-08, -1.9294277419731229e-08, -9.0085034962594996e-09, -3.8313433225318721e-10, 4.7730314540573441e-09, 6.4063854721548209e-09, 5.5071346610772239e-09, 3.3888884173237782e-09, 1.1728262360106206e-09, -4.5806280767426164e-10, -1.2751317281946551e-09, -1.381299010865346e-09, -1.0429017669111227e-09, -5.4407294208895202e-10, -9.6699514171947847e-11, 1.9097977151852328e-10, 3.0247092036113098e-10, 2.7938779423875251e-10, 1.8498218663875174e-10, 7.6661198789506158e-11, -8.2612928436945773e-12, -5.4976095342966764e-11, -6.6020224886133615e-11, -5.3234402493981846e-11, -3.0395487000154636e-11, -8.3889358562400058e-12, 6.7404292760540129e-12, 1.3504186732294471e-11, 1.3477922298863849e-11, 9.5463007154326528e-12, 4.5086576854823176e-12, 2.996029866914606e-13, -2.2081406302779183e-12, -3.0076656228770589e-12, -2.5924370148981405e-12, -1.5999757508886458e-12, -5.648187104512708e-13, 1.9351470318319813e-13, 5.7219381261868223e-13, 6.2281254247821456e-13, 4.7056736953857169e-13, 2.4637868671641e-13, 4.6267805883178225e-14, -8.1759163893741795e-14, -1.3121675680080315e-13, -1.2129749403105205e-13, -8.0299062366522751e-14, -3.3474816677923029e-14, 3.0326664548575517e-15, 2.3002875932787271e-14, 2.7704063133395097e-14, 2.231479952938313e-14, 1.2736394169904506e-14, 3.5603248540986587e-15, -2.7102268268368891e-15, -5.4948811687060493e-15, -5.4798744267210756e-15, -3.8735633353016951e-15, -1.8291728421872628e-15, -1.3171375119596445e-16, 8.7290728784780484e-16, 1.1899709435655776e-15, 1.0232236041639899e-15, 6.2988951665799684e-16, 2.2248618544219133e-16, -7.3996328644474757e-17, -2.2087704527481808e-16, -2.3986017815175558e-16, -1.8063820346115053e-16, -9.4289448186428994e-17, -1.7751984282509195e-17, 3.0864490566657009e-17, 4.9436299706256767e-17, 4.5536734912453689e-17, 3.0029361840148602e-17, 1.2469021236654877e-17, -1.1253313178286721e-18, -8.5000078610759387e-18, -1.0195339260779843e-17, -8.1776012143908234e-18, -4.6462673841026383e-18, -1.2897400232353362e-18, 9.8688036670261219e-19, 1.9868459285626677e-18, 1.9720526076144755e-18, 1.3874359914437375e-18, 6.5137933190825746e-19, 4.4851267345164629e-20, -3.1111629459849417e-19, -4.2136348965562461e-19, -3.6049467443319927e-19, -2.2072906288194318e-19, -7.7259313734210145e-20, 2.6346997552900152e-20, 7.7140640451793806e-20, 8.3258751841541505e-20, 6.2366785024160597e-20, 3.234062796581672e-20, 5.942987680176741e-21, -1.0685318851481857e-20, -1.6938161560745883e-20, -1.550987417369914e-20, -1.0168056867794791e-20, -4.1827350789964854e-21, 4.1401235591154934e-22, 2.8830681384415719e-21, 3.4306321292281016e-21, 2.7353637277645883e-21, 1.543463060370593e-21, 4.2068331511343093e-22, -3.3455163836946957e-22, -6.6178913567673784e-22, -6.5230082987322369e-22, -4.5606170226930289e-22, -2.1217180994078482e-22, -1.2868562555092936e-23, 1.0300210695245953e-22, 1.3801749409059439e-22, 1.1730622313995537e-22, 7.1322151282359191e-23, 2.4593082687978031e-23, -8.8714327590697555e-24, -2.5080538296875912e-23, -2.6845235808122357e-23, -1.9976465830183655e-23, -1.026868848351698e-23, -1.8092833459140324e-24, 3.4712287312924847e-24, 5.419760958696748e-24, 4.9265222445998397e-24, 3.206816406283085e-24, 1.3023592727827491e-24, -1.4789415101719769e-25, -9.1836968520595013e-25, -1.0816555919719133e-24, -8.56415348351027e-25, -4.7919865922112394e-25, -1.2725591149424346e-25, 1.0738861861081746e-25, 2.0749620403356534e-25, 2.0282959379186814e-25, 1.4078702406163309e-25, 6.4761076640433198e-26, 3.1771076484590594e-27, -3.2264284615498477e-26, -4.266828507190769e-26, -3.5993699651230679e-26, -2.1706814674131565e-26, -7.3430632571304216e-27, 2.8535026329653353e-27, 7.7272538512667822e-27, 8.1914869378867987e-27, 6.0505106313289994e-27, 3.0785309107777024e-27, 5.1259745634642482e-28, -1.0737906574908445e-27, -1.6468235716655917e-27, -1.4847263283796342e-27, -9.5878267855584938e-28, -3.834634998788785e-28, 5.0789642258086565e-29, 2.7879620890642752e-28, 3.2457861011902581e-28, 2.5501726233797732e-28, 1.4134867633605385e-28, 3.6349289147825823e-29, -3.301063901141564e-29, -6.2104092444480591e-29, -6.0155037512776049e-29, -4.1425650787400813e-29, -1.8810566210675992e-29, -6.5688435518357524e-31}; + static constexpr double chirp_in[4096] = {1, 0.99999992642979929, 0.99999882287700514, 0.99999404081958787, 0.9999811660875062, 0.99995401897637071, 0.99990465453387189, 0.99982336314626385, 0.99969867158853654, 0.99951734473821929, 0.99926438818900221, 0.998923052036508, 0.99847483614453059, 0.99789949723582638, 0.99717505818699503, 0.99627781994202647, 0.99518237649358454, 0.9938616334148932, 0.99228683045801158, 0.99042756876612315, 0.98825184327798898, 0.98572608093165093, 0.98281518530153245, 0.97948258832792745, 0.9756903098201305, 0.97139902543374301, 0.96656814383854717, 0.96115589380530031, 0.95511942194735522, 0.94841490185561306, 0.94099765536237645, 0.93282228666059408, 0.92384282998911005, 0.91401291157120323, 0.90328592646221384, 0.89161523092170281, 0.87895435087564089, 0.86525720697385833, 0.85047835667664762, 0.83457325372130264, 0.81749852522376165, 0.79921226656174948, 0.77967435406322239, 0.75884677538693723, 0.73669397733007314, 0.7131832306305963, 0.68828501114913054, 0.66197339661628929, 0.6342264779166199, 0.60502678364962148, 0.57436171646195799, 0.54222399938345511, 0.50861213012343165, 0.4735308409942906, 0.43699156182725674, 0.39901288293222104, 0.35962101483159181, 0.31885024116901001, 0.27674336086026408, 0.2333521152185779, 0.18873759545291671, 0.14297062560971868, 0.096132115709591626, 0.048313379525507044, -0.00038358883718521143, -0.049845885660697295, -0.099949521968676278, -0.15055930804420456, -0.20152880479580074, -0.25270034875965974, -0.30390515757424702, -0.35496352274746379, -0.4056850964493664, -0.45586927889726703, -0.50530571264738766, -0.55377488976053313, -0.60104887736125978, -0.64689216655377857, -0.69106264898686465, -0.73331272456861973, -0.77339054291489417, -0.81104138006864557, -0.8460091508484886, -0.87803805587175265, -0.9068743608505454, -0.93226830418043516, -0.95397612713425417, -0.97176221914417393, -0.9854013687119787, -0.99468110844139446, -0.99940414055107041, -0.99939082701909576, -0.99448172624942033, -0.98454015586016352, -0.96945475889963473, -0.94914204852736517, -0.92354890398720091, -0.89265498858333392, -0.85647505838693705, -0.81506112859245528, -0.7685044628528731, -0.71693734959881206, -0.66053462833527321, -0.59951492826162256, -0.53414158132492895, -0.46472317204376912, -0.39161368717798556, -0.3152122296164856, -0.23596226275400647, -0.15435035416899404, -0.070904390633105427, 0.013808759593039822, 0.09918615657250443, 0.18459228461860086, 0.2693631422116452, 0.35281092692297711, 0.43422930879702298, 0.51289927740590668, 0.5880955389371294, 0.65909343027171097, 0.72517630714337644, 0.78564335324217838, 0.83981774665942033, 0.88705510950404776, 0.92675215601078931, 0.9583554441811033, 0.98137012613941343, 0.99536858315359633, 0.99999882287700514, 0.99499250904629088, 0.98017248784854372, 0.95545967068985072, 0.92087913039150604, 0.87656526714078131, 0.82276590205092281, 0.7598451601445787, 0.68828501114912999, 0.60868534583648182, 0.52176247787447139, 0.42834597636238814, 0.32937375243207906, 0.22588534448833064, 0.11901337075840943, 0.0099731446764950698, -0.099949521968675376, -0.20941227153109016, -0.31703181849493733, -0.42140110777252832, -0.52110785216033795, -0.61475425146856222, -0.70097765980614957, -0.77847193249159985, -0.84600915084848771, -0.90246139255836488, -0.94682218813969621, -0.97822728137500836, -0.99597429399523896, -0.99954088350734849, -0.98860097853545059, -0.9630386791909602, -0.92295942146047771, -0.86869802495628545, -0.80082327303127221, -0.72013871347380276, -0.6276794168385581, -0.52470448779900736, -0.41268519236054085, -0.29328863974147795, -0.16835704134703858, -0.039882659401103367, 0.09002134692995295, 0.21915387133951877, 0.34526219919889106, 0.46608122869670787, 0.57937497068616284, 0.68297963205683976, 0.7748475038260193, 0.85309080213204103, 0.91602455057213206, 0.96220754845479073, 0.99048044398756308, 0.99999992642979929, 0.99026806874157036, 0.96115589380530075, 0.91292030397297208, 0.84621360604462514, 0.7620849817471087, 0.66197339661628984, 0.54769160642970061, 0.42140110777252909, 0.2855780849582823, 0.14297062560971963, -0.0034522927617008812, -0.15055930804420603, -0.29512169978712482, -0.43388373911755923, -0.56363695259073099, -0.68129669877065169, -0.78397929272312616, -0.8690777846452038, -0.9343344109714895, -0.97790769530701704, -0.99843218742645046, -0.9950688952752843, -0.96754459005089155, -0.9161783491799238, -0.84189394582437793, -0.74621699410734765, -0.63125611230023981, -0.49966776553729064, -0.35460488704253801, -0.19964984230321187, -0.038732782291660182, 0.1239630836160234, 0.28410729153688535, 0.43733655464327453, 0.57937497068616117, 0.70615681024133081, 0.81394842128514178, 0.89946560517441376, 0.95998273974085324, 0.99342995728005579, 0.99847483614453048, 0.97458533851213081, 0.92207112396763224, 0.84210088492281143, 0.73669397733007302, 0.60868534583648282, 0.46166354924637748, 0.29988255844234957, 0.12814889944360713, -0.048313379525509959, -0.2240165573282355, -0.39337772332802823, 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0.57593069136480424, -0.55089698145218191, 0.52601004251397765, -0.50132820166018488, 0.47690591218530526, -0.45279386036808306, 0.4290390833651167, -0.40568509645037554, 0.3827720280763382, -0.36033676125198227, 0.33841307983513402, -0.31703181849472845, 0.29622101515464083, -0.2760060647928777, 0.25640987367073959, -0.23745301300816751, 0.2191538713382635, -0.20152880479604404, 0.18459228461925636, -0.16835704134700888, 0.15283420512977428, -0.13803344170061341, 0.12396308361540023, -0.110630256377754, 0.098040999160336914, -0.086200379880266867, 0.075112604335562244, -0.064781119288953887, 0.055208709333225685, -0.046397587328288914, 0.038349478447046295, -0.03106569760236999, 0.024547220292490568, -0.018794746789342908, 0.013808759594209193, -0.0095895741816169593, 0.0061373830151254354, -0.0034522927602768901, 0.0015343547837478589, -0.00038358883724551112, -4.1594761818964385e-13}; + static constexpr double chirp[4096] = {2.9666476041003112e-05, 0.00041539194512507909, 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-1.1363425730438227e-13, -7.8257163932653889e-14, -7.3078953370490918e-16, 9.1817277115798304e-14, 1.6686453176780087e-13, 1.9548467391269225e-13, 1.6661611733316192e-13, 9.0627704044674365e-14, -1.1016239461446309e-15, -6.9078169426988259e-14, -8.1455556953354338e-14, -3.0108372256953606e-14, 6.3495534513829249e-14, 1.5668021757396164e-13, 2.0602288186002612e-13, 1.9034421391492251e-13, 1.2036524866545183e-13, 3.17526800480087e-14, -3.6987438529730368e-14, -6.4462886797175128e-14, -5.76141968199528e-14, -4.383475800764404e-14, -5.3422694938046363e-14, -9.6714509908698079e-14, -1.5442941725201352e-13, -1.8247776641772909e-13, -1.3631736086878576e-13, 1.8351527844009605e-15, 2.0283895616206478e-13, 3.9765000171246463e-13, 5.0715559850929726e-13, 4.853366413458144e-13, 3.4598615544279877e-13, 1.6031547884863681e-13, 2.0025288664706625e-14, -1.1405749256307093e-14, 6.3765412763351625e-14, 1.7759438176648398e-13, 2.3301830385076766e-13, 1.6036251967039552e-13, -4.1438201950198296e-14, -2.9999370255125233e-13, -5.064604347578374e-13, -5.7245096156901165e-13, -4.7748072289167183e-13, -2.7723734207185614e-13, -6.7643159242034966e-14, 7.5428437054200661e-14, 1.4143437795919082e-13, 1.8686661215326921e-13, 2.9074179036728937e-13, 4.9242175478869744e-13, 7.516874464586077e-13, 9.5997758154089831e-13, 9.9925716012673512e-13, 8.1425699441657296e-13, 4.5354811705550653e-13, 5.3921395162842821e-14}; +}; + +struct case_hp_zeta_2_100Hz_1000Hz_z50 +{ + static constexpr int order = 2; + static constexpr double cutoff_hz = 100.0; + static constexpr double sample_rate_hz = 1000.0; + + static constexpr double b[3] = {1, -1.8432184580122799, 0.84321845801228001}; + static constexpr double a[3] = {1, -1.249825515787276, 0.53348809109110362}; + static constexpr double step[256] = {1, 0.40660705777499606, -0.02530021538472238, -0.24854087781929257, -0.29713536720493017, -0.23877376510962178, -0.13990736428879047, -0.047476833583708133, 0.015301154682309859, 0.044452098862581391, 0.047394383585797617, 0.035520044543348006, 0.019109518764550359, 0.0049340433874491829, -0.0040280073657341653, -0.0076665597716045752, -0.0074329680604132697, -0.0051998948021469982, -0.0025335612614418856, -0.00039242755848833966, 0.0008611587853323277, 0.0012856536521224093, 0.0011474247823745065, 0.00074819985778340481, 0.00032298181634660139, 4.5152013219418308e-06, -0.00016666373883866825, -0.00021070939949119349, -0.00017443686401308334, -0.00010560468822795599, -3.8927444335534744e-05, 7.6863303380969583e-06, 3.037389974902549e-05, 3.3861509220911579e-05, 2.6116864431324771e-05, 1.457681164307445e-05, 4.2854349797671887e-06, -2.4205094335538746e-06, -5.3114429778844396e-06, -5.3470640020147897e-06, -3.8493054490551515e-06, -1.9583652006716079e-06, -3.9405618101895357e-07, 5.5226304296329687e-07, 9.0045672240801622e-07, 8.3078803103653343e-07, 5.5795714148931808e-07, 2.5413355153602879e-07, 1.995910692276226e-08, -1.1063182214776646e-07, -1.4891841981778953e-07, -1.2710128105553054e-07, -7.9408220443610844e-08, -3.1439400194344103e-08, 3.0695754826837174e-09, 2.0608979411917971e-08, 2.4120046515641036e-08, 1.9151204622147588e-08, 1.1067906813266859e-08, 3.6160128225048993e-09, -1.3852112790146975e-09, -3.6603720054984024e-09, -3.8358325404885818e-09, -2.8413564834295357e-09, -1.5048287060892562e-09, -3.6494340882597953e-10, 3.4669267456877151e-10, 6.2799843103533703e-10, 5.99932215017418e-10, 4.1478098733449542e-10, 1.9834733855361719e-10, 2.6618929283017678e-11, -7.2546857410316079e-11, -1.0487166690609229e-10, -9.2368335202763774e-11, -5.9496407800452289e-11, -2.5082602661541387e-11, 3.9179770539021774e-13, 1.3871126469666706e-11, 1.7127521623194752e-11, 1.4006462656368512e-11, 8.3684170704145799e-12, 2.9869440254515212e-12, -7.311928840181281e-13, -2.5073276788134535e-12, -2.7435831384536868e-12, -2.0912160891839449e-12, -1.1497469643018121e-12, -3.2107649872159527e-13, 2.1227464230832993e-13, 4.3676173788753658e-13, 4.3276493499888602e-13, 3.0797586703101842e-13, 1.5409895581797173e-13, 2.8421709430404007e-14, -4.6629367034256575e-14, -7.3274719625260332e-14, -6.6613381477509392e-14, -4.3964831775156199e-14, -1.9317880628477724e-14, -4.4408920985006262e-16, 9.8809849191638932e-15, 1.2656542480726785e-14, 1.0658141036401503e-14, 6.6613381477509392e-15, 2.7755575615628914e-15, 0, -1.3322676295501878e-15, -1.5543122344752192e-15, -1.1102230246251565e-15, -4.4408920985006262e-16, 1.1102230246251565e-16, 4.4408920985006262e-16, 5.5511151231257827e-16, 5.5511151231257827e-16, 4.4408920985006262e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16}; + static constexpr double impulse[256] = {1, -0.59339294222500394, -0.43190727315971844, -0.22324066243457014, -0.048594489385637762, 0.058361602095308246, 0.098866400820831188, 0.09243053070508235, 0.062777988266018048, 0.029150944180271546, 0.0029422847232163096, -0.011874339042449536, -0.016410525778797664, -0.014175475377101211, -0.0089620507531832389, -0.0036385524058703189, 0.00023359171119140786, 0.0022330732582661328, 0.002666333540705034, 0.0021411337029535928, 0.0012535863438205824, 0.00042449486678990643, -0.00013822886974797265, -0.00039922492459117164, -0.00042521804143677067, -0.00031846661502463321, -0.00017117894016058946, -4.4045660652391018e-05, 3.6272535478205194e-05, 6.8832175785250689e-05, 6.6677243892259374e-05, 4.6613774673596398e-05, 2.2687569410922081e-05, 3.4876094717975396e-06, -7.744644789575786e-06, -1.1540052788301318e-05, -1.0291376663381637e-05, -6.7059444133506527e-06, -2.8909335444097804e-06, -3.5621024207201365e-08, 1.4977585531257755e-06, 1.8909402483922365e-06, 1.5643090198473034e-06, 9.4631922409923246e-07, 3.481936794843048e-07, -6.9668691372173073e-08, -2.7283088952652011e-07, -3.0382359005622846e-07, -2.3417444470617662e-07, -1.305909290515528e-07, -3.828659777037919e-08, 2.1817138647422513e-08, 4.7693060521909854e-08, 4.7968820316186368e-08, 3.4508975777258632e-08, 1.7539404067728465e-08, 3.5110671226313347e-09, -4.9688419174615418e-09, -8.0832979093021333e-09, -7.4518939892757312e-09, -5.0012240773843385e-09, -2.2751607627326452e-09, -1.7546048761866369e-10, 9.9447617779733487e-10, 1.336527782455308e-09, 1.1398853273425524e-09, 7.116361118319453e-10, 2.8130572317647653e-10, -2.8066320289767193e-11, -1.8515125650283007e-10, -2.1643371702197241e-10, -1.717283916159299e-10, -9.9165715084894729e-11, -3.2324789175064676e-11, 1.250338173888459e-11, 3.2871935602814267e-11, 3.4413778613652562e-11, 2.5474432430782373e-11, 1.3479254592361337e-11, 3.2564099941986244e-12, -3.1210775011957062e-12, -5.6380582493590026e-12, -5.3815313812835325e-12, -3.7181383014271192e-12, -1.7760412166017533e-12, -2.3615912475767523e-13, 6.5233913843585746e-13, 9.4129818082454078e-13, 8.2844332265049541e-13, 5.3323823339656736e-13, 2.2449010331437659e-13, -3.9027880674975052e-15, -1.2464060079549989e-13, -1.5369691222120924e-13, -1.2560004640094497e-13, -7.4982670468477025e-14, -2.6709125797977481e-14, 6.6206148064566349e-15, 2.2523613851983694e-14, 2.4618568145002908e-14, 1.875283487140454e-14, 1.0304058590552942e-14, 2.8738612645478512e-15, -1.9052674107003846e-15, -3.9144225843755942e-15, -3.875907751573951e-15, -2.7559105724923742e-15, -1.3766567250964903e-15, -2.5033523096899583e-16, 4.2155460919390478e-16, 6.6042057137077568e-16, 6.0051611750049477e-16, 3.9821385635573715e-16, 1.7732964121866958e-16, 9.188760227247145e-18, -8.3118904797153559e-17, -1.0878622221290386e-16, -9.1620850433975155e-17, -5.6473922625137183e-17, -2.1703916871327881e-17, 3.002056079399593e-18, 1.5330827468742631e-17, 1.7559298181419667e-17, 1.3767245025308849e-17, 7.8389776470213773e-18, 2.4526930127979104e-18, -1.1165629112272693e-18, -2.703991329863609e-18, -2.7838443424373463e-18, -2.0367725182624144e-18, -1.0604624590370026e-18, -2.3879915708432952e-19, 2.6728681327293934e-19, 4.6145838572907233e-19, 4.3414813317139688e-19, 2.9642686114843912e-19, 1.388689958116764e-19, 1.5421814014981101e-20, -5.4810378831660511e-20, -7.6730764113790394e-20, -6.6659382460387083e-20, -4.2377648190586789e-20, -1.7402679305548157e-20, 8.576579989892303e-22, 1.0356045013543337e-20, 1.2485698971878269e-20, 1.0080118471963642e-20, 5.9374175579733135e-21, 2.0431128002583698e-21, -6.1400704961948204e-22, -1.8573780251813298e-21, -1.9938329995162296e-21, -1.501054299925512e-21, -8.1236980376274899e-22, -2.1452591590643152e-22, 1.6526965237194987e-22, 3.2100524988624883e-22, 3.1303116065030251e-22, 2.1998185382521637e-22, 1.0794053757357975e-22, 1.754913877535826e-23, -3.5651629919941989e-23, -5.3920573298907326e-23, -4.837158834457615e-23, -3.1690061632437672e-23, -1.3801381296099367e-23, -3.4304801012565809e-25, 6.9341224058814128e-24, 8.8494551405373835e-24, 7.361003109752771e-24, 4.4788905782368558e-24, 1.6708242295619661e-24, -3.0119603028734742e-25, -1.2678073126847412e-24, -1.4238534332528718e-24, -1.1032082485052297e-24, -6.1920896810923735e-25, -1.8535470537621955e-25, 9.8679570132656897e-26, 2.2221677258462786e-25, 2.2508781691240454e-25, 1.6277049505537892e-25, 8.3353048165076686e-26, 1.7340645722310598e-26, -2.2795077068240319e-26, -3.7740896938906752e-26, -3.5008633831533436e-26, -2.3620364771500714e-26, -1.0844645349132285e-26, -9.5273115418587326e-28, 4.5947414396816314e-27, 6.2508958145289112e-27, 5.3612892458131788e-27, 3.3658976212308333e-27, 1.346600765005856e-27, -1.126503010755392e-28, -8.5918869223012171e-28, -1.0137383563434795e-27, -8.0862912878542538e-28, -4.6982797737334402e-28, -1.5580898383553354e-28, 5.5913587203562468e-29, 1.530044653274727e-28, 1.6139965189238046e-28, 1.2009534303831283e-28, 6.3993431865674492e-29, 1.5911188682073751e-29, -1.4253524207025792e-29, -2.630284792082233e-29, -2.5269885048789025e-29, -1.7550690987448808e-29, -8.4541186790412266e-30, -1.2030886063356435e-30, 3.0065207979881063e-30, 4.3994598510781161e-30, 3.8946141362147424e-30, 2.5205286838033919e-30, 1.0724908012255679e-30, -4.2456672437892646e-33, -5.7746741351142647e-31, -7.1946849502896559e-31, -5.9113809479074417e-31, -3.549916002101574e-31, -1.2831242607166444e-31, 2.9015647052558361e-32, 1.0471764729160592e-31, 1.1539928538041885e-31, 8.8363353614914732e-32, 4.8874629537577109e-32, 1.3943962228285311e-32, -8.6465130307018983e-33, -1.8245570399772786e-32, -1.8190967704385568e-32, -1.3001741070360245e-32, -6.5452431036830306e-33, -1.2441378135264662e-33, 1.9368540646099008e-33, 3.0844623374982449e-33, 2.8217511542393902e-33, 1.881172667296245e-33, 8.4576696237916461e-34, 5.3477914702743506e-35, -3.843685399409974e-34, -5.0892343931445867e-34, -4.3100946138883043e-34, -2.6718202823810128e-34, -1.0399250145324359e-34, 1.2565948451784785e-35, 7.1184004093187986e-35, 8.226380077928036e-35, 6.4839578779689634e-35, 3.7151401948118192e-35, 1.1841626991699371e-35, -5.0198629439986876e-36, -1.2591319772379178e-35, -1.3058915629423504e-35}; + static constexpr double chirp_in[4096] = {1, 0.99999992642979929, 0.99999882287700514, 0.99999404081958787, 0.9999811660875062, 0.99995401897637071, 0.99990465453387189, 0.99982336314626385, 0.99969867158853654, 0.99951734473821929, 0.99926438818900221, 0.998923052036508, 0.99847483614453059, 0.99789949723582638, 0.99717505818699503, 0.99627781994202647, 0.99518237649358454, 0.9938616334148932, 0.99228683045801158, 0.99042756876612315, 0.98825184327798898, 0.98572608093165093, 0.98281518530153245, 0.97948258832792745, 0.9756903098201305, 0.97139902543374301, 0.96656814383854717, 0.96115589380530031, 0.95511942194735522, 0.94841490185561306, 0.94099765536237645, 0.93282228666059408, 0.92384282998911005, 0.91401291157120323, 0.90328592646221384, 0.89161523092170281, 0.87895435087564089, 0.86525720697385833, 0.85047835667664762, 0.83457325372130264, 0.81749852522376165, 0.79921226656174948, 0.77967435406322239, 0.75884677538693723, 0.73669397733007314, 0.7131832306305963, 0.68828501114913054, 0.66197339661628929, 0.6342264779166199, 0.60502678364962148, 0.57436171646195799, 0.54222399938345511, 0.50861213012343165, 0.4735308409942906, 0.43699156182725674, 0.39901288293222104, 0.35962101483159181, 0.31885024116901001, 0.27674336086026408, 0.2333521152185779, 0.18873759545291671, 0.14297062560971868, 0.096132115709591626, 0.048313379525507044, -0.00038358883718521143, -0.049845885660697295, -0.099949521968676278, -0.15055930804420456, -0.20152880479580074, -0.25270034875965974, -0.30390515757424702, -0.35496352274746379, -0.4056850964493664, -0.45586927889726703, -0.50530571264738766, -0.55377488976053313, -0.60104887736125978, -0.64689216655377857, -0.69106264898686465, -0.73331272456861973, -0.77339054291489417, -0.81104138006864557, 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0.99999882287700514, 0.99499250904629088, 0.98017248784854372, 0.95545967068985072, 0.92087913039150604, 0.87656526714078131, 0.82276590205092281, 0.7598451601445787, 0.68828501114912999, 0.60868534583648182, 0.52176247787447139, 0.42834597636238814, 0.32937375243207906, 0.22588534448833064, 0.11901337075840943, 0.0099731446764950698, -0.099949521968675376, -0.20941227153109016, -0.31703181849493733, -0.42140110777252832, -0.52110785216033795, -0.61475425146856222, -0.70097765980614957, -0.77847193249159985, -0.84600915084848771, -0.90246139255836488, -0.94682218813969621, -0.97822728137500836, -0.99597429399523896, -0.99954088350734849, -0.98860097853545059, -0.9630386791909602, -0.92295942146047771, -0.86869802495628545, -0.80082327303127221, -0.72013871347380276, -0.6276794168385581, -0.52470448779900736, -0.41268519236054085, -0.29328863974147795, -0.16835704134703858, -0.039882659401103367, 0.09002134692995295, 0.21915387133951877, 0.34526219919889106, 0.46608122869670787, 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0.95998273974085324, 0.99342995728005579, 0.99847483614453048, 0.97458533851213081, 0.92207112396763224, 0.84210088492281143, 0.73669397733007302, 0.60868534583648282, 0.46166354924637748, 0.29988255844234957, 0.12814889944360713, -0.048313379525509959, -0.2240165573282355, -0.39337772332802823, -0.55089698145210475, -0.69133985418658528, -0.80991791317645134, -0.90246139255836466, -0.96557747552099782, -0.99678810088010106, -0.99464152469519274, -0.95879249417982837, -0.89004674065898659, -0.79036655916348131, -0.66283548908721601, -0.51158150864681218, -0.34165966256345809, -0.15889660674110515, 0.030298881123715433, 0.21915387133951658, 0.40077079795557791, 0.56838039236265869, 0.71559896074412133, 0.83668028795140859, 0.92675215601078997, 0.98202755565343003, 0.9999811660875062, 0.97948258832792812, 0.92087913039150737, 0.82602263024340583, 0.6982368180860713, 0.54222399938345556, 0.36391230372523414, 0.17024729818871898, -0.031065697601372073, -0.23185984575257096, 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0.93623487063973665, 0.99289265158964735, 0.99266256453924517, 0.93501624268541406, 0.82276590205092304, 0.66197339661628929, 0.46166354924637809, 0.23335211521857976, -0.0095895741826257964, -0.2527003487596628, -0.48128300660049478, -0.68129669877065224, -0.84023397604037153, -0.9479273461671317, -0.99723238944639814, -0.98454015586016264, -0.91008053699473168, -0.77799016180242753, -0.59613248546922271, -0.37567331729755787, -0.13043111482230935, 0.12396308361602595, 0.37104727229943907, 0.59459149924435239, 0.77967435406322239, 0.91370141006883898, 0.98729522857459673, 0.99499250904629022, 0.93569463493371918, 0.81283271986127059, 0.63422647791661613, 0.41163671634210847, 0.16003264759379121, -0.1033839317883601, -0.36033676125160785, -0.59273942915648381, -0.78397929272312317, -0.9201297299918394, -0.99100117924590703, -0.99094976176793526, -0.91937694488673249, -0.78087390759575936, -0.58498878606034577, -0.34562217432566072, -0.080084217820004439, 0.19212671735369832, 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0.97501319700248934, 0.99627781994202547, 0.92207112396763291, 0.75884677538694123, 0.5217624778744816, 0.23335211521858765, -0.07855469695947305, -0.38348066697558636, -0.65126920047307302, -0.85508594369616242, -0.97415389500088145, -0.99593983608294245, -0.91755646763273546, -0.74621699410735365, -0.49867062121686356, -0.19964984230321028, 0.12053668025531283, 0.42903908336570928, 0.69383011851338472, 0.88705510950404576, 0.98801617809016951, 0.98546660117894946, 0.878954350875643, 0.67904717547725413, 0.40638618731229703, 0.089639308903445084, -0.23745301300756336, -0.53964301532054448, -0.78397929272311817, -0.94343906000553723, -0.9999855802751384, -0.9466986959828072, -0.78871871430905482, -0.54286844851759386, -0.23596226275400908, 0.098040999161486744, 0.42174894365151211, 0.69851136524894031, 0.89659687467502402, 0.99289265158964801, 0.97569030982012916, 0.84621360604462359, 0.6186796598453691, 0.31885024116900984, -0.018794746789845506, -0.3549635227474629, 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-0.91694531966419934, 0.89946560517507124, -0.88077723780042294, 0.86099576136681266, -0.84023397603959249, 0.81860162390640867, -0.796205118714578, 0.77314731759783095, -0.74952733250471737, 0.72544037896198199, -0.70097765980604587, 0.67622628148050334, -0.65126920047273773, 0.62618519753795332, -0.60104887736144608, 0.57593069136480424, -0.55089698145218191, 0.52601004251397765, -0.50132820166018488, 0.47690591218530526, -0.45279386036808306, 0.4290390833651167, -0.40568509645037554, 0.3827720280763382, -0.36033676125198227, 0.33841307983513402, -0.31703181849472845, 0.29622101515464083, -0.2760060647928777, 0.25640987367073959, -0.23745301300816751, 0.2191538713382635, -0.20152880479604404, 0.18459228461925636, -0.16835704134700888, 0.15283420512977428, -0.13803344170061341, 0.12396308361540023, -0.110630256377754, 0.098040999160336914, -0.086200379880266867, 0.075112604335562244, -0.064781119288953887, 0.055208709333225685, -0.046397587328288914, 0.038349478447046295, 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-1.2977972975453942, 1.1939963062184784, -1.0198563695126737, 0.78627892479871564, -0.50747670847191084, 0.20007279296866898, 0.11791554635441827, -0.42814522261199528, 0.71300454963455528, -0.95659901794826918, 1.1456118877298731, -1.2699951442986015, 1.3234577581237517, -1.3037309323408672, 1.2126033135874801, -1.0557322084908094, 0.84224896824661188, -0.5841872523421191, 0.29577135887346301, 0.0073921434130171451, -0.30917282886940345, 0.59377748042450118, -0.84656824406840092, 1.0547964776731888, -1.2082170564898176, 1.2995556100540953, -1.3248099427952174, 1.2833762164553328, -1.1779998315020523, 1.0145598518452403, -0.80170383969973358, 0.55035674460973283, -0.27313274757490125, -0.016317483008393682, 0.30398989587283515, -0.57620629677913693, 0.82025717596195535, -1.0249787510940154, 1.1812392890726469, -1.282315178972022, 1.3241432957614796, -1.3054425923152593, 1.2277042629329171, -1.0950559321931679, 0.91401086859200531, -0.6931179770798811, 0.44253211369276957, -0.17352697040555637, -0.10202566166791205, 0.37218603184293486, -0.62546244326738032, 0.85129130673375308, -1.0404619680238616, 1.185470314794284, -1.2807889629356017, 1.3230459409114239, -1.311108036182048, 1.2460691501704511, -1.1311479524070824, 0.97150267743870466, -0.77397394348087267, 0.54676889388739336, -0.29910170772547851, 0.040806563131509384, 0.21806053268141928, -0.46761498005327479, 0.69851679230419861, -0.90231018554354048, 1.0717179322799373, -1.2008811668245978, 1.2855378714859049, -1.3231359321203817, 1.3128793192338175, -1.2557085230801475, 1.1542187557251602, -1.0125215511384162, 0.83605718296562759, -0.63136673273150756, 0.40583365026103085, -0.16740524172779345, -0.075695296173894852, 0.31525588496597995, -0.54335177041910154, 0.7526019599398559, -0.93639806751239696, 1.0890990893163719, -1.2061871241662718, 1.284380626533725, -1.321703376090694, 1.3175089101447841, -1.2724616428733553, 1.1884772435677982, -1.0686260283943199, 0.91700410818955402, -0.73857780887454261, 0.53900743018092467, -0.32445672989374053, 0.10139461981269338, 0.12360455184780514, -0.34405606085898721, 0.55374961293334302, -0.74691891445199188, 0.91839175734049849, -1.0637171808746868, 1.1792671388131741, -1.2623109880950862, 1.3110619968482924, -1.3246959184380356, 1.3033424718415811, -1.248051286960163, 1.1607345009093408, -1.0440887159656489, 0.90149944385653402, -0.73693146052386727, 0.55480868006152817, -0.35988722937798079, 0.15712537229073792, 0.048446198115063184, -0.2518503961986106, 0.44828309705694197, -0.6332231447176293, 0.80253075096983695, -0.95253245042158941, 1.0800912257881607, -1.1826608711029278, 1.2583241071817151, -1.305814392128624, 1.3245217701983036, -1.3144834668102603, 1.2763602593316572, -1.2113999275488581, 1.1213893112709086, -1.0085966736263425, 0.87570618707193471, -0.7257464261604899, 0.56201476907782255, -0.3879995822099036, 0.20730199281772307, -0.023558949188749997, -0.15963086922241937, 0.33877689152785662, -0.51056102687925975, 0.67189554550734865, -0.81997365138043976, 0.95231213574175588, -1.0667857061498016, 1.1616527845442131, -1.2355727565163583, 1.2876148290680232, -1.3172588128604223, 1.3243882852793365, -1.3092767110162431, 1.2725671963585059, -1.215246631631838, 1.1386150333316831, -1.0442509340052593, 0.93397368486373311, -0.80980353468467003, 0.67392033041056965, -0.52862165173187614, 0.37628114577902089, -0.21930777086547776, 0.060106592144330492, 0.098958300958840117, -0.25559826350089498, 0.40763153869841867, -0.55301134719651235, 0.68985037393920645, -0.81644148402301897, 0.93127457494039934, -1.0330495441830168, 1.1206854173263756, -1.1933257417445757, 1.2503404044970454, -1.2913240791847724, 1.3160915456024664, -1.3246701577699369, 1.3172897604013567, -1.2943703713982027, 1.256507958772842, -1.2044586449896941, 1.1391216705099356, -1.0615214418904215, 0.97278897872713832, -0.87414305861285757, 0.76687134077000663, -0.65231172768427459, 0.5318342005717418, -0.40682333940585802, 0.27866171205216883, -0.14871429037034919, 0.018314024387329819, 0.11125132071933592, -0.23875098577345508, 0.3630216423757372, -0.48297638997553383, 0.59761231558287897, -0.70601662631518891, 0.80737138295097011, -0.90095687864951424, 0.98615372096013965, -1.0624436871803595, 1.1294094329914586, -1.186733142246819, 1.2341942118128295, -1.2716660695860438, 1.2991122263801937, -1.3165816633412308, 1.3242036561337849, -1.3221821354457102, 1.3107896805194292, -1.2903612386133809, 1.2612876586764181, -1.2240091221876552, 1.1790085482567898, -1.1268050438084816, 1.0679474631103898, -1.0030081341631334, 0.93257680266370357, -0.85725483749469245, 0.77764973499851731, -0.69436995282920921, 0.60802009795016598, -0.51919648738263535, 0.42848309477872054, -0.33644789064494041, 0.24363957923434074, -0.15058473083783874, 0.057785304127677503, 0.034283450186056053, -0.12517471623225385, 0.21447148492772478, -0.30178758765539593, 0.38676841031836628, -0.46909130776414681, 0.54846573965128487, -0.62463314975329898, 0.69736661101008834, -0.76647025887903408, 0.83177853552394787, -0.89315526698267877, 0.95049259510194295, -1.0037097852569308, 1.0527519301063253, -1.0975885687702558, 1.1382122396608025, -1.174636984221245, 1.2068968176069912, -1.2350441811022659, 1.259148389949087, -1.2792940889344315, 1.295579726887421, -1.3081160600742039, 1.3170246932267502, -1.3224366658559474, 1.3244910903908846, -1.3233338476181065, 1.3191163439472631, -1.3119943340624871, 1.302126811676388, -1.2896749702943096, 1.2748012351575944, -1.257668366868655, 1.2384386365823765, -1.2172730721284668, 1.1943307739095896, -1.169768299026535, 1.143739111721598, -1.1163930978715451, 1.0878761410592175, -1.058329757500547, 1.027890786934728, -0.99669113650014984, 0.9648575744517115, -0.93251157057962153, 0.89976918017111207, -0.86674096828757607, 0.83353197122549472, -0.80024169206669737, 0.76696412724881236, -0.73378782122903119, 0.70079594635714593, -0.66806640521467309, 0.63567195281103328, -0.60368033607156546, 0.57215444829344264, -0.54115249628623896, 0.51072817807642545, -0.48093086925613687, 0.45180581604541115, -0.42339433340677762, 0.39573400665363112, -0.36885889502058905, 0.34279973593852137, -0.31758414876374708, 0.29323683683442303, -0.26977978694151994, 0.24723246521419417, -0.22561200868297041, 0.20493341183166588, -0.18520970742751749, 0.16645214116872362, -0.14867033961755396, 0.13187247100216082, -0.11606539859406605, 0.10125482626720894, -0.087445436029305046, 0.074641017374816071, -0.062844588148196906, 0.052058506897448162, -0.042284576572752926, 0.033524139411240148, -0.025778163085330003, 0.019047317919369092, -0.013332045195190921, 0.0086326165834628155, -0.0049491845565216462, 0.0022818238808831439, -0.00063056414333983936, -4.5867226270371615e-06}; +}; + +struct case_mz_hp_zeta_2_100Hz_1000Hz_z50 +{ + static constexpr int order = 2; + static constexpr double cutoff_hz = 100.0; + static constexpr double sample_rate_hz = 1000.0; + + static constexpr double b[3] = {0.72235293018128799, -1.444705860362576, 0.72235293018128799}; + static constexpr double a[3] = {1, -1.2498255157872755, 0.53348809109110329}; + static constexpr double step[256] = {0.72235293018128799, 0.18046219336299008, -0.15982043191647821, -0.29602208480469272, -0.28471365768497214, -0.19791813712453787, -0.095471792069410699, -0.013736112599409878, 0.033765320089687134, 0.049528811086487323, 0.043888975702772282, 0.028430530814550603, 0.012118956971785999, -2.0767964895140878e-05, -0.006491275553330289, -0.0081018823546106233, -0.0066629210890064572, -0.0040052310351115228, -0.0014512508914407141, 0.00032293266536886911, 0.0011778345528281609, 0.0012998069463019402, 0.00099617117987627068, 0.00055160863213177258, 0.00015796908201470838, -9.6842846777800418e-05, -0.00020531128493972428, -0.00020493877713334552, -0.00014660658735354826, -7.390025665354738e-05, -1.4149557960307924e-05, 2.1740428277405854e-05, 3.4720362651285974e-05, 3.1796135577799589e-05, 2.1216721555750162e-05, 9.5543402882647399e-06, 6.2238999676278439e-07, -4.3192478632603226e-06, -5.7303438397715567e-06, -4.8576626476837248e-06, -3.0141605278366512e-06, -1.1756695632580971e-06, 1.3863692793769644e-07, 8.0047768102886607e-07, 9.2649628047336563e-07, 7.3091338159692043e-07, 4.1923946214605934e-07, 1.3404259224802928e-07, -5.6129408343430498e-08, -1.4166209338917213e-07, -1.4710852802579666e-07, -1.0828495211612221e-07, -5.6856648389391751e-08, -1.3292157596822562e-08, 1.3719467117923045e-08, 2.4238147822153167e-08, 2.2974283364618486e-08, 1.5783082285558692e-08, 7.4695923890644167e-09, 9.1560070636376167e-10, -2.8405974239475995e-09, -4.0387131416963484e-09, -3.5322618163746711e-09, -2.2601055471582754e-09, -9.4031793462789892e-10, 3.0506042136835276e-11, 5.397756686065236e-10, 6.5835070728326173e-10, 5.348596010534834e-10, 3.1725888582911921e-10, 1.111770675521484e-10, -3.030187212260671e-11, -9.7183705527470465e-11, -1.0529699334682618e-10, -7.9756534709929383e-11, -4.3506975799800784e-11, -1.1826983836726868e-11, 8.4288132029541885e-12, 1.684408168500795e-11, 1.6555534720907872e-11, 1.1705414415530413e-11, 5.7975846345925675e-12, 1.0013101459094287e-12, -1.8415269309457472e-12, -2.8358426718000374e-12, -2.5618396293225487e-12, -1.6889822873622506e-12, -7.4429351570870494e-13, -2.9198865547641617e-14, 3.6060043839825084e-13, 4.6618264804010323e-13, 3.9024339315574252e-13, 2.390310172017962e-13, 9.0594198809412774e-14, -1.4321877017664519e-14, -6.616929226765933e-14, -7.5051076464660582e-14, -5.850875339774575e-14, -3.3084646133829665e-14, -1.0103029524088925e-14, 4.9960036108132044e-15, 1.1657341758564144e-14, 1.1879386363489175e-14, 8.659739592076221e-15, 4.4408920985006262e-15, 8.8817841970012523e-16, -1.2212453270876722e-15, -1.9984014443252818e-15, -1.7763568394002505e-15, -1.1102230246251565e-15, -3.3306690738754696e-16, 1.1102230246251565e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 2.2204460492503131e-16, 0, -1.1102230246251565e-16, -1.1102230246251565e-16, 0, 1.1102230246251565e-16, 1.1102230246251565e-16, 0, -1.1102230246251565e-16, -1.1102230246251565e-16, 0, 1.1102230246251565e-16, 1.1102230246251565e-16, 0, -1.1102230246251565e-16, -1.1102230246251565e-16, 0, 1.1102230246251565e-16, 1.1102230246251565e-16, 0, -1.1102230246251565e-16, -1.1102230246251565e-16, 0, 1.1102230246251565e-16, 1.1102230246251565e-16, 0, -1.1102230246251565e-16, -1.1102230246251565e-16, 0, 1.1102230246251565e-16, 1.1102230246251565e-16, 0, -1.1102230246251565e-16, -1.1102230246251565e-16, 0, 1.1102230246251565e-16, 1.1102230246251565e-16, 0, -1.1102230246251565e-16, -1.1102230246251565e-16, 0, 1.1102230246251565e-16, 1.1102230246251565e-16, 0, -1.1102230246251565e-16, -1.1102230246251565e-16, 0, 1.1102230246251565e-16, 1.1102230246251565e-16, 0, -1.1102230246251565e-16, -1.1102230246251565e-16, 0, 1.1102230246251565e-16, 1.1102230246251565e-16, 0, -1.1102230246251565e-16, -1.1102230246251565e-16, 0, 1.1102230246251565e-16, 1.1102230246251565e-16, 0, -1.1102230246251565e-16, -1.1102230246251565e-16, 0, 1.1102230246251565e-16, 1.1102230246251565e-16, 0, -1.1102230246251565e-16, -1.1102230246251565e-16, 0, 1.1102230246251565e-16, 1.1102230246251565e-16, 0, -1.1102230246251565e-16, -1.1102230246251565e-16, 0, 1.1102230246251565e-16, 1.1102230246251565e-16, 0, -1.1102230246251565e-16, -1.1102230246251565e-16, 0, 1.1102230246251565e-16, 1.1102230246251565e-16, 0, -1.1102230246251565e-16, -1.1102230246251565e-16, 0, 1.1102230246251565e-16, 1.1102230246251565e-16, 0, -1.1102230246251565e-16, -1.1102230246251565e-16, 0, 1.1102230246251565e-16, 1.1102230246251565e-16, 0, -1.1102230246251565e-16, -1.1102230246251565e-16, 0, 1.1102230246251565e-16, 1.1102230246251565e-16, 0, -1.1102230246251565e-16, -1.1102230246251565e-16, 0, 1.1102230246251565e-16, 1.1102230246251565e-16, 0, -1.1102230246251565e-16, -1.1102230246251565e-16, 0, 1.1102230246251565e-16, 1.1102230246251565e-16, 0, -1.1102230246251565e-16, -1.1102230246251565e-16, 0, 1.1102230246251565e-16, 1.1102230246251565e-16, 0, -1.1102230246251565e-16, -1.1102230246251565e-16, 0, 1.1102230246251565e-16, 1.1102230246251565e-16, 0, -1.1102230246251565e-16, -1.1102230246251565e-16, 0, 1.1102230246251565e-16, 1.1102230246251565e-16, 0, -1.1102230246251565e-16, -1.1102230246251565e-16, 0, 1.1102230246251565e-16, 1.1102230246251565e-16, 0, -1.1102230246251565e-16, -1.1102230246251565e-16}; + static constexpr double impulse[256] = {0.72235293018128799, -0.54189073681829791, -0.34028262527946834, -0.13620165288821451, 0.011308427119720604, 0.086795520560434228, 0.10244634505512719, 0.081735679470000877, 0.047501432689096984, 0.015763490996800134, -0.0056398353837150833, -0.015458444888221727, -0.016311573842764673, -0.012139724936681157, -0.0064705075884350805, -0.0016106068012802597, 0.0014389612656041349, 0.0026576900538949526, 0.0025539801436707831, 0.0017741835568095671, 0.00085490188745931234, 0.00012197239347379047, -0.00030363576642566102, -0.00044456254774456191, -0.00039363955011714237, -0.0002548119287925847, -0.00010846843816198772, 3.725078063516313e-07, 5.8332189779880426e-05, 7.2706330700113227e-05, 5.975069869343687e-05, 3.5889986237732948e-05, 1.2979934373851483e-05, -2.9242270735702007e-06, -1.0579414022097813e-05, -1.1662381267499644e-05, -8.9319502914491888e-06, -4.9416378600217611e-06, -1.4110959765297748e-06, 8.7268119211485903e-07, 1.8435021199180139e-06, 1.838490964569003e-06, 1.3143064911852364e-06, 6.6184075307199365e-07, 1.2601859948618554e-07, -1.9558289886106422e-07, -3.1167391953005952e-07, -2.8519686987064495e-07, -1.9017200061402174e-07, -8.5532685063269627e-08, -5.4464346393209676e-09, 3.8823575898009227e-08, 5.1428303790419624e-08, 4.3564490915766398e-08, 2.7011624711603499e-08, 1.0518680689424233e-08, -1.2638645866013256e-09, -7.1912010906320581e-09, -8.3134899065256415e-09, -6.5539916679221627e-09, -3.7561981562888037e-09, -1.1981157941360768e-09, 5.0645129377943206e-10, 1.2721562573887686e-09, 1.319787616603919e-09, 9.7082402532771573e-10, 5.0926966196618958e-10, 1.1857516188424037e-10, -1.2349103695142354e-10, -2.1760068571736035e-10, -2.0608189169228892e-10, -1.4147903213526277e-10, -6.6881869304176599e-11, -8.1132880166514783e-12, 2.5540486403547677e-11, 3.6249494129247594e-11, 3.1679997360147762e-11, 2.0255795614755751e-11, 8.4153088844573165e-12, -2.8855796902147798e-13, -4.8501141851779326e-12, -5.9078542230547977e-12, -4.7963087933010397e-12, -2.8427792395605001e-12, -9.9420440693141655e-13, 2.7400683421550929e-13, 8.7285694411084122e-13, 9.4473949745028885e-13, 7.1510074477611228e-13, 3.8974388610654654e-13, 1.0561412220961733e-13, -7.5924497048354559e-14, -1.5123625013422046e-13, -1.4851410933235672e-13, -1.0493398491011867e-13, -5.1918663126088879e-14, -8.9082386202679871e-15, 1.6564244554806645e-14, 2.5454854710848596e-14, 2.2977299710366513e-14, 1.5137753613215648e-14, 6.6614349565863485e-15, 2.4982010197705244e-16, -3.2415646811092987e-15, -4.1846662988451669e-15, -3.5007665614784493e-15, -2.1428777377264692e-15, -8.1060600358435114e-16, 1.3008368721124226e-16, 5.9503056094350498e-16, 6.7428627976799023e-16, 5.2529847930069271e-16, 2.9680774259191304e-16, 9.0717406999408637e-17, -4.4962466022499166e-17, -1.0459189357648708e-16, -1.0673467716730911e-16, -7.7601193295296532e-17, -4.0046272260789158e-17, -8.6515404061990026e-18, 1.0551293393190886e-17, 1.7802769483668327e-17, 1.662136618149216e-17, 1.1276242052895455e-17, 5.2260341244117558e-18, 5.1588994758440597e-19, -2.1432545491802422e-18, -2.9539153657425148e-18, -2.5484780174166062e-18, -1.6092741828755906e-18, -6.5172926295640668e-19, 4.3980749636342033e-20, 4.0265806350177732e-19, 4.7978911573376647e-19, 3.8483939738107204e-19, 2.2502031884796713e-19, 7.5928900581299064e-20, -2.5147783026730527e-20, -7.1937505122053375e-20, -7.649328668151641e-20, -5.7225459195569456e-20, -3.0713581562259581e-20, -7.8575169296694614e-21, 6.5648048487893851e-21, 1.2396752313706389e-20, 1.1991532147398919e-20, 8.3738031236341099e-21, 4.0684532135236525e-21, 6.1753239244831811e-22, -1.3986635976691288e-21, -2.0775316296038807e-21, -1.8503816677349306e-21, -1.2043158390213655e-21, -5.1802808096578329e-22, -4.9565554550638967e-24, 2.7016698256786975e-22, 3.403058516446889e-22, 2.8119206875127516e-22, 1.6989190318129622e-22, 6.2322615533569348e-23, -1.2742912015568877e-23, -4.9174789775298896e-23, -5.4661715188516057e-23, -4.2083441652273718e-23, -2.3435585077469716e-23, -6.8393772536098342e-24, 3.9545773429257927e-24, 8.5912579826231256e-24, 8.6278535216438878e-24, 6.1999776566048198e-24, 3.1460331670602527e-24, 6.2437828087535919e-25, -8.9800732186285409e-25, -1.4554508414109316e-24, -1.3399833866429935e-24, -8.9827973629620166e-25, -4.0782775570369573e-25, -3.0491993342258314e-26, 1.794615795779633e-25, 2.405627765817512e-25, 2.0492088080726457e-25, 1.2777796908434828e-25, 5.0377316590521062e-26, -5.2051691185801215e-27, -3.3381251640558651e-26, -3.8943844312408382e-26, -3.0864510088541765e-26, -1.7799175078957411e-26, -5.7800146040477232e-27, 2.271638202107396e-27, 5.9227203452230748e-27, 6.1904750822403196e-27, 4.5773129415897857e-27, 2.4182977735707967e-27, 5.8050831864500355e-28, -5.6459895414285387e-28, -1.0153444538509777e-27, -9.6779658745834332e-28, -6.6790269461239209e-28, -3.1845387578200861e-28, -4.1693645970336708e-29, 1.1778156771157896e-28, 1.6944947221470129e-28, 1.4894721028645285e-28, 9.5758748453125792e-29, 4.022016428750703e-29, -8.1796434184878261e-31, -2.2479291374559444e-29, -2.7658817701427713e-29, -2.2576261855258697e-29, -1.3460738260425806e-29, -4.7794072980793443e-30, 1.2077183677520561e-30, 4.0591941079007174e-30, 4.4289810029999762e-30, 3.3699217504942824e-30, 1.8490055692050573e-30, 5.1312121742767163e-31, -3.4511046129909041e-31, -7.0507191908055176e-31, -6.9710455371795297e-31, -4.9511158621597465e-31, -2.4690611596073043e-31, -4.4453428724204262e-32, 7.6162442998867194e-32, 1.1890513943720831e-31, 1.0797892089856618e-31, 7.1520334646926182e-32, 3.1782470751119746e-32, 1.5672960945266852e-33, -1.49967230014405e-32, -1.9579420862037855e-32, -1.6470286651052071e-32, -1.0139596648457534e-32, -3.8860248258403183e-33, 5.525010781013253e-34, 2.7636779111812031e-33, 3.1593624253298943e-33, 2.4742625195701651e-33, 1.406914200360702e-33, 4.3840767771050562e-34, -2.0263886915976258e-34, -4.871485042676118e-34, -5.0074520712236616e-34, -3.6595621115010297e-34, -1.9023980568550428e-34, -4.2533282754755298e-35, 4.8331488727614031e-35, 8.3096927652429649e-35, 7.8072386802649815e-35, 5.3245639795535271e-35, 2.4897070618606457e-35, 2.7110793940474404e-36, -9.8939144760751551e-36, -1.3811995333942617e-35, -1.1984298645036306e-35}; + static constexpr double chirp_in[4096] = {1, 0.99999992642979929, 0.99999882287700514, 0.99999404081958787, 0.9999811660875062, 0.99995401897637071, 0.99990465453387189, 0.99982336314626385, 0.99969867158853654, 0.99951734473821929, 0.99926438818900221, 0.998923052036508, 0.99847483614453059, 0.99789949723582638, 0.99717505818699503, 0.99627781994202647, 0.99518237649358454, 0.9938616334148932, 0.99228683045801158, 0.99042756876612315, 0.98825184327798898, 0.98572608093165093, 0.98281518530153245, 0.97948258832792745, 0.9756903098201305, 0.97139902543374301, 0.96656814383854717, 0.96115589380530031, 0.95511942194735522, 0.94841490185561306, 0.94099765536237645, 0.93282228666059408, 0.92384282998911005, 0.91401291157120323, 0.90328592646221384, 0.89161523092170281, 0.87895435087564089, 0.86525720697385833, 0.85047835667664762, 0.83457325372130264, 0.81749852522376165, 0.79921226656174948, 0.77967435406322239, 0.75884677538693723, 0.73669397733007314, 0.7131832306305963, 0.68828501114913054, 0.66197339661628929, 0.6342264779166199, 0.60502678364962148, 0.57436171646195799, 0.54222399938345511, 0.50861213012343165, 0.4735308409942906, 0.43699156182725674, 0.39901288293222104, 0.35962101483159181, 0.31885024116901001, 0.27674336086026408, 0.2333521152185779, 0.18873759545291671, 0.14297062560971868, 0.096132115709591626, 0.048313379525507044, -0.00038358883718521143, -0.049845885660697295, -0.099949521968676278, -0.15055930804420456, -0.20152880479580074, -0.25270034875965974, -0.30390515757424702, -0.35496352274746379, -0.4056850964493664, -0.45586927889726703, -0.50530571264738766, -0.55377488976053313, -0.60104887736125978, -0.64689216655377857, -0.69106264898686465, -0.73331272456861973, -0.77339054291489417, -0.81104138006864557, -0.8460091508484886, -0.87803805587175265, -0.9068743608505454, -0.93226830418043516, -0.95397612713425417, -0.97176221914417393, -0.9854013687119787, -0.99468110844139446, -0.99940414055107041, -0.99939082701909576, -0.99448172624942033, -0.98454015586016352, -0.96945475889963473, -0.94914204852736517, -0.92354890398720091, -0.89265498858333392, -0.85647505838693705, -0.81506112859245528, -0.7685044628528731, -0.71693734959881206, -0.66053462833527321, -0.59951492826162256, -0.53414158132492895, -0.46472317204376912, -0.39161368717798556, -0.3152122296164856, -0.23596226275400647, -0.15435035416899404, -0.070904390633105427, 0.013808759593039822, 0.09918615657250443, 0.18459228461860086, 0.2693631422116452, 0.35281092692297711, 0.43422930879702298, 0.51289927740590668, 0.5880955389371294, 0.65909343027171097, 0.72517630714337644, 0.78564335324217838, 0.83981774665942033, 0.88705510950404776, 0.92675215601078931, 0.9583554441811033, 0.98137012613941343, 0.99536858315359633, 0.99999882287700514, 0.99499250904629088, 0.98017248784854372, 0.95545967068985072, 0.92087913039150604, 0.87656526714078131, 0.82276590205092281, 0.7598451601445787, 0.68828501114912999, 0.60868534583648182, 0.52176247787447139, 0.42834597636238814, 0.32937375243207906, 0.22588534448833064, 0.11901337075840943, 0.0099731446764950698, -0.099949521968675376, -0.20941227153109016, -0.31703181849493733, -0.42140110777252832, -0.52110785216033795, -0.61475425146856222, -0.70097765980614957, -0.77847193249159985, -0.84600915084848771, -0.90246139255836488, -0.94682218813969621, -0.97822728137500836, -0.99597429399523896, -0.99954088350734849, -0.98860097853545059, -0.9630386791909602, -0.92295942146047771, -0.86869802495628545, -0.80082327303127221, -0.72013871347380276, -0.6276794168385581, -0.52470448779900736, -0.41268519236054085, -0.29328863974147795, -0.16835704134703858, -0.039882659401103367, 0.09002134692995295, 0.21915387133951877, 0.34526219919889106, 0.46608122869670787, 0.57937497068616284, 0.68297963205683976, 0.7748475038260193, 0.85309080213204103, 0.91602455057213206, 0.96220754845479073, 0.99048044398756308, 0.99999992642979929, 0.99026806874157036, 0.96115589380530075, 0.91292030397297208, 0.84621360604462514, 0.7620849817471087, 0.66197339661628984, 0.54769160642970061, 0.42140110777252909, 0.2855780849582823, 0.14297062560971963, -0.0034522927617008812, -0.15055930804420603, -0.29512169978712482, -0.43388373911755923, -0.56363695259073099, -0.68129669877065169, -0.78397929272312616, -0.8690777846452038, -0.9343344109714895, -0.97790769530701704, -0.99843218742645046, -0.9950688952752843, -0.96754459005089155, -0.9161783491799238, -0.84189394582437793, -0.74621699410734765, -0.63125611230023981, -0.49966776553729064, -0.35460488704253801, -0.19964984230321187, -0.038732782291660182, 0.1239630836160234, 0.28410729153688535, 0.43733655464327453, 0.57937497068616117, 0.70615681024133081, 0.81394842128514178, 0.89946560517441376, 0.95998273974085324, 0.99342995728005579, 0.99847483614453048, 0.97458533851213081, 0.92207112396763224, 0.84210088492281143, 0.73669397733007302, 0.60868534583648282, 0.46166354924637748, 0.29988255844234957, 0.12814889944360713, -0.048313379525509959, -0.2240165573282355, -0.39337772332802823, -0.55089698145210475, -0.69133985418658528, -0.80991791317645134, -0.90246139255836466, -0.96557747552099782, 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-0.45279386036808306, 0.4290390833651167, -0.40568509645037554, 0.3827720280763382, -0.36033676125198227, 0.33841307983513402, -0.31703181849472845, 0.29622101515464083, -0.2760060647928777, 0.25640987367073959, -0.23745301300816751, 0.2191538713382635, -0.20152880479604404, 0.18459228461925636, -0.16835704134700888, 0.15283420512977428, -0.13803344170061341, 0.12396308361540023, -0.110630256377754, 0.098040999160336914, -0.086200379880266867, 0.075112604335562244, -0.064781119288953887, 0.055208709333225685, -0.046397587328288914, 0.038349478447046295, -0.03106569760236999, 0.024547220292490568, -0.018794746789342908, 0.013808759594209193, -0.0095895741816169593, 0.0061373830151254354, -0.0034522927602768901, 0.0015343547837478589, -0.00038358883724551112, -4.1594761818964385e-13}; + static constexpr double chirp[4096] = {0.72235293018128799, 0.18046214021934004, -0.15982124234771244, -0.29602572652941694, -0.28472362261729867, -0.19793895842928133, -0.09550854764903749, 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0.023816531625628645, -0.095102534681038353, 0.16515221598604926, -0.23366185691202412, 0.30035245204860528, -0.36497004370440234, 0.42728583735405645, -0.48709611524964286, 0.54422196568181913, -0.59850884555317729, 0.64982599394164531, -0.69806571402164175, 0.74314254043072403, -0.78499230859415703, 0.82357114189402136, -0.85885437191970226, 0.89083540612463119, -0.91952455644356046, 0.94494784148764488, -0.96714577394620882, 0.98617214395533026, -1.0020928081574847, 1.0149844932262397, -1.0249336217277996, 1.0320351672070023, -1.0363915445269376, 1.038111540630112, -1.0373092900430074, 1.0341032987034731, -1.028615518933464, 1.0209704777107662, -1.0112944597642841, 0.99971474642957303, -0.98635891068221992, 0.9713541682767538, -0.95482678450965097, 0.9369015357190027, -0.91770122431596213, 0.89734624586635203, -0.87595420645418276, 0.85363958839444798, -0.83051346217280686, 0.8066832423454291, -0.78225248507039336, 0.75732072481207469, -0.73198334775216922, 0.70633149943731222, -0.6804520241330837, 0.65442743342438536, -0.62833590163908792, 0.60225128568585762, -0.57624316700630607, 0.55037691338321704, -0.52471375844419765, 0.49931089681646607, -0.4742215929189223, 0.44949530155792583, -0.42517779854487103, 0.401311319656878, -0.37793470643751542, 0.35508355732358987, -0.33279038277997741, 0.31108476322812206, -0.28999350855985417, 0.26954081824070625, -0.24974844103088906, 0.23063583342602356, -0.21222031610145969, 0.19451722758235565, -0.17754007454082882, 0.16130067819517954, -0.14580931624286458, 0.13107485996033014, -0.11710490606203919, 0.10390590297713961, -0.0914832713189834, 0.079841518240686207, -0.068984345499593785, 0.058914751120005875, -0.049635124413708535, 0.04114733432174579, -0.033452810988939374, 0.02655262042604874, -0.020447532323056392, 0.015138080874926206, -0.010624618610585883, 0.0069073632744646764, -0.0039864376413825762, 0.0018619023319962444, -0.00053378160976702321, 2.0821181761555959e-06}; +}; + +struct case_tu_hp_zeta_2_100Hz_1000Hz_z50 +{ + static constexpr int order = 2; + static constexpr double cutoff_hz = 100.0; + static constexpr double sample_rate_hz = 1000.0; + + static constexpr double b[3] = {0.70778656056860867, -1.4155731211372173, 0.707786560568609}; + static constexpr double a[3] = {1, -1.2758616540728207, 0.5552845882016143}; + static constexpr double step[256] = {0.70778656056860867, 0.19525117132896908, -0.14390948640854229, -0.29202856163326196, -0.29267732378324673, -0.21125681484206371, -0.10701526200561995, -0.019229015759166246, 0.034890361841396711, 0.055192850867514909, 0.051044361793517234, 0.034477804403327594, 0.015644761136301644, 0.00081555740073868677, -0.00764675633078582, -0.010209069635911838, -0.0087792345320003573, -0.0055321496627919187, -0.0021832839875205456, 0.00028634912774483379, 0.0015776858217046996, 0.0018539035846060203, 0.001489259872130555, 0.00087064547525761427, 0.00028386012135228622, -0.00012128977024383758, -0.00031237211747703331, -0.00033119326636721347, -0.00024910136602573907, -0.00013391236435922327, -3.2531501237720306e-05, 3.2853777120034344e-05, 5.9981115687612885e-05, 5.8284409375719548e-05, 4.1056253828664069e-05, 2.0017665661398176e-05, 2.7418670214274243e-06, -7.6172582400557687e-06, -1.1241084197144424e-05, -1.011232217196234e-05, -6.6599232831920929e-06, -2.8819240828203974e-06, 2.1216330914342052e-08, 1.627357130939977e-06, 2.0645014596754052e-06, 1.7303719132000239e-06, 1.061329328755356e-06, 3.9326053802302141e-07, -8.7593778452799143e-08, -3.3012905864548969e-07, -3.7255953122539154e-07, -2.920188409971658e-07, -1.6569907523855676e-07, -4.9255533984826627e-08, 2.9166896009513721e-08, 6.4563763446656708e-08, 6.6178502566849318e-08, 4.8583351230924166e-08, 2.5237732681482328e-08, 5.2222695057224655e-09, -7.3512301801414992e-09, -1.2278998151593612e-08, -1.1584277759268957e-08, -7.9615970483004617e-09, -3.7253251594648873e-09, -3.3204705651712629e-10, 1.644969827019338e-09, 2.283134903358075e-09, 1.9995382016801955e-09, 1.2833447637916606e-09, 5.2705795283713996e-10, -4.0168202097845551e-11, -3.4391589576188153e-10, -4.1648395843196795e-10, -3.4040437135729462e-10, -2.0304147252403482e-10, -7.0031092036515474e-11, 2.3396173887135774e-11, 6.8737793235129629e-11, 7.4708794706168646e-11, 5.7149396326394708e-11, 3.1430413827138182e-11, 8.3669737804825672e-12, -6.7773564538242681e-12, -1.3292700273836999e-11, -1.3195999848392148e-11, -9.4547703000102956e-12, -4.7351012000262926e-12, -7.90811860440499e-13, 1.6207035713478035e-12, 2.507216656510991e-12, 2.2992718839986992e-12, 1.5416556919944924e-12, 6.9055872131684737e-13, 2.5313084961453569e-14, -3.5083047578154947e-13, -4.6140868903421506e-13, -3.9346303992715548e-13, -2.4547031074462211e-13, -9.4368957093138306e-14, 1.6320278461989801e-14, 7.3607786532647879e-14, 8.5154105988749507e-14, 6.8167693711984612e-14, 3.9968028886505635e-14, 1.3433698597964394e-14, -4.7739590058881731e-15, -1.3211653993039363e-14, -1.3877787807814457e-14, -9.9920072216264089e-15, -4.7739590058881731e-15, -2.2204460492503131e-16, 2.6645352591003757e-15, 3.8857805861880479e-15, 3.8857805861880479e-15, 3.219646771412954e-15, 2.3314683517128287e-15, 1.5543122344752192e-15, 9.9920072216264089e-16, 6.6613381477509392e-16, 6.6613381477509392e-16, 8.8817841970012523e-16, 1.1102230246251565e-15, 1.3322676295501878e-15, 1.3322676295501878e-15, 1.2212453270876722e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15}; + static constexpr double impulse[256] = {0.70778656056860867, -0.51253538923963959, -0.33916065773751136, -0.14811907522471968, -0.00064876214998474402, 0.081420508941183023, 0.10424155283644373, 0.087786246246453759, 0.054119377600562964, 0.020302489026118246, -0.0041484890739977576, -0.016566557390189668, -0.018833043267025961, -0.014829203735562861, -0.0084623137315243888, -0.0025623133051259871, 0.0014298351039115482, 0.0032470848692083723, 0.0033488656752712863, 0.0024696331152652528, 0.0012913366939598014, 0.00027621776290134435, -0.00036464371247549895, -0.00061861439687288826, -0.00058678535390523827, -0.000405149891596091, -0.00019108234723320397, -1.8821148890208622e-05, 8.2091900341375141e-05, 0.00011518900166650881, 0.00010138086312148038, 6.5385278357759787e-05, 2.7127338567607746e-05, -1.6967063118751222e-06, -1.7228155547064627e-05, -2.1038588167213058e-05, -1.7275798639952185e-05, -1.0359125261424124e-05, -3.6238259571482663e-06, 1.1287620251596258e-06, 3.452398888804143e-06, 3.7779992004704393e-06, 2.9031404137206897e-06, 1.6061407999960761e-06, 4.3714432863248002e-07, -3.3412954652204381e-07, -6.6904258440957417e-07, -6.6806879074346885e-07, -4.8085431641917713e-07, -2.4253528015628931e-07, -4.2430472633426758e-08, 8.0540690168772857e-08, 1.2631976570234935e-07, 1.1644354123724977e-07, 7.8422430049300729e-08, 3.539686747444698e-08, 1.6147391092484941e-09, -1.7595151268353552e-08, -2.3345618542235143e-08, -2.001546316225643e-08, -1.2573499758693088e-08, -4.9277679798922319e-09, 6.9472043004660285e-10, 3.6226807704649988e-09, 4.2362719320695976e-09, 3.3932781145390173e-09, 1.9770169126355297e-09, 6.3816502779975961e-10, -2.8359673426041809e-10, -7.1619340312960852e-10, -7.562868041538659e-10, -5.672261739716614e-10, -3.0374771794998711e-10, -7.256811341348394e-11, 7.6079553266367025e-11, 1.3736293964492277e-10, 1.3301030397759882e-10, 9.3427223066693764e-11, 4.5341639486529805e-11, 5.9709620662480287e-12, -1.755939207241448e-11, -2.571893822614791e-11, -2.3063347270208404e-11, -1.5144310374734672e-11, -6.515323593012659e-12, 9.675061383117384e-14, 3.7412991765414989e-12, 4.719656031004022e-12, 3.9441423777866705e-12, 2.4114277623922758e-12, 8.8652673754512254e-13, -2.0794320227383352e-13, -7.5758139239375629e-13, -8.5110139295033796e-13, -6.6521435948872738e-13, -3.7611800650803095e-13, -1.1049126023540969e-13, 6.7880970314483779e-14, 1.479608210052022e-13, 1.510842811778657e-13, 1.1060227732614839e-13, 5.7218431635972436e-14, 1.1587062811313354e-14, -1.6989024124235253e-14, -2.8109761821876219e-14, -2.6430423948878756e-14, -1.8112646899556349e-14, -8.4328245544576853e-15, -7.0144380969488745e-16, 3.7876722508220371e-15, 5.2220467200325258e-15, 4.5593731398258503e-15, 2.9174072932105474e-15, 1.1904584583140211e-15, -1.0113100969729804e-16, -7.90072412106479e-16, -9.5186660347329781e-16, -7.7573506515811717e-16, -4.6117376842238327e-16, -1.5764020078450038e-16, 5.4955598766525515e-17, 1.576509151194626e-16, 1.7062476029996814e-16, 1.3015246542037747e-16, 7.1311240052731449e-17, 1.8711618523282785e-17, -1.5724596007332242e-17, -3.0452682457828567e-17, -3.012178399303129e-17, -2.1521323910743258e-17, -1.0732069502129484e-17, -1.7421764612807729e-18, 3.7365766524646545e-18, 5.7347586072602771e-18, 5.241895174619841e-18, 3.5035099762986213e-18, 1.5592504299861805e-18, 4.3942738266697965e-20, -8.0976287818862791e-19, -1.0575461304953857e-18, -8.996337089562276e-19, -5.6056908439221835e-19, -2.1565586562469254e-19, 3.6128323758862802e-20, 1.6584512144653117e-19, 1.9153392958782435e-19, 1.5227955624730498e-19, 8.7931807297349641e-20, 2.7630330421699723e-20, -1.3574698330524111e-20, -3.2662133715610115e-20, -3.4134543175519742e-20, -2.5414175246880104e-20, -1.3470585916712285e-20, -3.0745041925791014e-21, 3.5573667489982525e-21, 6.2459326190209862e-21, 5.9935949922318903e-21, 4.1787278983434562e-21, 2.0033277611919806e-21, 2.3558587080615761e-22, -8.1184205210342078e-22, -1.1666153466992595e-21, -1.0376364063194529e-21, -6.7607697931133276e-22, -2.8639718851861287e-22, 1.0011936384321833e-23, 1.7180579060443074e-22, 2.1364094620758877e-22, 1.7717518331966261e-22, 1.0741949761299578e-22, 3.8669769194983833e-23, -1.0311115809130365e-23, -3.4628284134861544e-23, -3.8455296178035957e-23, -2.9835085293614088e-23, -1.6711807969722349e-23, -4.7549919075727658e-24, 3.213097566273065e-24, 6.7398416989010593e-24, 6.8149220192093283e-24, 4.9523674574873579e-24, 2.5343145688234642e-24, 4.8346145346600954e-25, -7.9043589202289613e-25, -1.2769455387340847e-24, -1.1902889784084689e-24, -8.0957588718503246e-25, -3.7195770530489991e-25, -2.5021560001943068e-26, 1.7461833228708736e-25, 2.3668292090508166e-25, 2.0501179422025612e-25, 1.301403086091592e-25, 5.2201139673560201e-26, -5.663475266073102e-27, -3.6212299268060361e-26, -4.3057043511016058e-26, -3.4826699066551845e-26, -2.0525137201753657e-26, -6.8485062507092212e-27, 2.6595458458994952e-27, 7.1960825352530801e-27, 7.7044009464289161e-27, 5.8338760078981663e-27, 3.1650835862147909e-27, 7.9874734292172787e-28, -7.3843102966858244e-28, -1.3856679243230791e-27, -1.3578811996976831e-27, -9.6302851073874553e-28, -4.7468064582957922e-28, -7.0871943932503547e-29, 1.7316005133367401e-28, 2.60282367715524e-28, 2.3593118440172904e-28, 1.5648476380509381e-28, 6.8643959011128397e-29, 6.8661745670678977e-31, -3.7240903627993726e-29, -4.7895508993678053e-29, -4.0428743492007245e-29, -2.4985845555536918e-29, -9.4290240574274303e-30, 1.8441247299736715e-30, 7.5886397691725066e-30, 8.6580404467833792e-30, 6.832607096227077e-30, 3.9097849672969411e-30, 1.1943032976726445e-30, -6.4727755468909948e-31, -1.4890148264058295e-30, -1.5403536689494111e-30, -1.1384511952160746e-30, -5.9717157226214126e-31, -1.2974390682844892e-31, 1.6606489501727889e-31, 2.8392062351507865e-31, 2.7003015949892081e-31, 1.868643794373247e-31, 8.8469510316821824e-32, 9.111945782427709e-33, -3.7500173386884796e-32, -5.2904756306919217e-32, -4.6675881553439989e-32, -3.0174771624284614e-32, -1.2580436368480133e-32, 7.0468928142170549e-34, 7.8848084604701868e-33, 9.6686216669785194e-33, 7.9575110136147336e-33, 4.7838465633078092e-33, 1.684843162787612e-33, -5.0676948439859907e-34, -1.5821351944312518e-33, -1.7371843416764604e-33}; + static constexpr double chirp_in[4096] = {1, 0.99999992642979929, 0.99999882287700514, 0.99999404081958787, 0.9999811660875062, 0.99995401897637071, 0.99990465453387189, 0.99982336314626385, 0.99969867158853654, 0.99951734473821929, 0.99926438818900221, 0.998923052036508, 0.99847483614453059, 0.99789949723582638, 0.99717505818699503, 0.99627781994202647, 0.99518237649358454, 0.9938616334148932, 0.99228683045801158, 0.99042756876612315, 0.98825184327798898, 0.98572608093165093, 0.98281518530153245, 0.97948258832792745, 0.9756903098201305, 0.97139902543374301, 0.96656814383854717, 0.96115589380530031, 0.95511942194735522, 0.94841490185561306, 0.94099765536237645, 0.93282228666059408, 0.92384282998911005, 0.91401291157120323, 0.90328592646221384, 0.89161523092170281, 0.87895435087564089, 0.86525720697385833, 0.85047835667664762, 0.83457325372130264, 0.81749852522376165, 0.79921226656174948, 0.77967435406322239, 0.75884677538693723, 0.73669397733007314, 0.7131832306305963, 0.68828501114913054, 0.66197339661628929, 0.6342264779166199, 0.60502678364962148, 0.57436171646195799, 0.54222399938345511, 0.50861213012343165, 0.4735308409942906, 0.43699156182725674, 0.39901288293222104, 0.35962101483159181, 0.31885024116901001, 0.27674336086026408, 0.2333521152185779, 0.18873759545291671, 0.14297062560971868, 0.096132115709591626, 0.048313379525507044, -0.00038358883718521143, -0.049845885660697295, -0.099949521968676278, -0.15055930804420456, -0.20152880479580074, -0.25270034875965974, -0.30390515757424702, -0.35496352274746379, -0.4056850964493664, -0.45586927889726703, -0.50530571264738766, -0.55377488976053313, -0.60104887736125978, -0.64689216655377857, -0.69106264898686465, -0.73331272456861973, -0.77339054291489417, -0.81104138006864557, -0.8460091508484886, -0.87803805587175265, -0.9068743608505454, -0.93226830418043516, -0.95397612713425417, -0.97176221914417393, -0.9854013687119787, -0.99468110844139446, -0.99940414055107041, -0.99939082701909576, -0.99448172624942033, -0.98454015586016352, -0.96945475889963473, -0.94914204852736517, -0.92354890398720091, -0.89265498858333392, -0.85647505838693705, -0.81506112859245528, -0.7685044628528731, -0.71693734959881206, -0.66053462833527321, -0.59951492826162256, -0.53414158132492895, -0.46472317204376912, -0.39161368717798556, -0.3152122296164856, -0.23596226275400647, -0.15435035416899404, -0.070904390633105427, 0.013808759593039822, 0.09918615657250443, 0.18459228461860086, 0.2693631422116452, 0.35281092692297711, 0.43422930879702298, 0.51289927740590668, 0.5880955389371294, 0.65909343027171097, 0.72517630714337644, 0.78564335324217838, 0.83981774665942033, 0.88705510950404776, 0.92675215601078931, 0.9583554441811033, 0.98137012613941343, 0.99536858315359633, 0.99999882287700514, 0.99499250904629088, 0.98017248784854372, 0.95545967068985072, 0.92087913039150604, 0.87656526714078131, 0.82276590205092281, 0.7598451601445787, 0.68828501114912999, 0.60868534583648182, 0.52176247787447139, 0.42834597636238814, 0.32937375243207906, 0.22588534448833064, 0.11901337075840943, 0.0099731446764950698, -0.099949521968675376, -0.20941227153109016, -0.31703181849493733, -0.42140110777252832, -0.52110785216033795, -0.61475425146856222, -0.70097765980614957, -0.77847193249159985, -0.84600915084848771, -0.90246139255836488, -0.94682218813969621, -0.97822728137500836, -0.99597429399523896, -0.99954088350734849, -0.98860097853545059, -0.9630386791909602, -0.92295942146047771, -0.86869802495628545, -0.80082327303127221, -0.72013871347380276, -0.6276794168385581, -0.52470448779900736, -0.41268519236054085, -0.29328863974147795, -0.16835704134703858, -0.039882659401103367, 0.09002134692995295, 0.21915387133951877, 0.34526219919889106, 0.46608122869670787, 0.57937497068616284, 0.68297963205683976, 0.7748475038260193, 0.85309080213204103, 0.91602455057213206, 0.96220754845479073, 0.99048044398756308, 0.99999992642979929, 0.99026806874157036, 0.96115589380530075, 0.91292030397297208, 0.84621360604462514, 0.7620849817471087, 0.66197339661628984, 0.54769160642970061, 0.42140110777252909, 0.2855780849582823, 0.14297062560971963, -0.0034522927617008812, -0.15055930804420603, -0.29512169978712482, -0.43388373911755923, -0.56363695259073099, -0.68129669877065169, -0.78397929272312616, -0.8690777846452038, -0.9343344109714895, -0.97790769530701704, -0.99843218742645046, -0.9950688952752843, -0.96754459005089155, -0.9161783491799238, -0.84189394582437793, -0.74621699410734765, -0.63125611230023981, -0.49966776553729064, -0.35460488704253801, -0.19964984230321187, -0.038732782291660182, 0.1239630836160234, 0.28410729153688535, 0.43733655464327453, 0.57937497068616117, 0.70615681024133081, 0.81394842128514178, 0.89946560517441376, 0.95998273974085324, 0.99342995728005579, 0.99847483614453048, 0.97458533851213081, 0.92207112396763224, 0.84210088492281143, 0.73669397733007302, 0.60868534583648282, 0.46166354924637748, 0.29988255844234957, 0.12814889944360713, -0.048313379525509959, -0.2240165573282355, -0.39337772332802823, -0.55089698145210475, -0.69133985418658528, -0.80991791317645134, -0.90246139255836466, -0.96557747552099782, -0.99678810088010106, -0.99464152469519274, -0.95879249417982837, -0.89004674065898659, -0.79036655916348131, -0.66283548908721601, -0.51158150864681218, -0.34165966256345809, -0.15889660674110515, 0.030298881123715433, 0.21915387133951658, 0.40077079795557791, 0.56838039236265869, 0.71559896074412133, 0.83668028795140859, 0.92675215601078997, 0.98202755565343003, 0.9999811660875062, 0.97948258832792812, 0.92087913039150737, 0.82602263024340583, 0.6982368180860713, 0.54222399938345556, 0.36391230372523414, 0.17024729818871898, -0.031065697601372073, -0.23185984575257096, -0.42383465395227493, -0.59890073081561812, -0.74952733250515868, -0.86907778464520447, -0.95211766591071434, -0.99468110844139468, -0.99448172624941999, -0.95105651629515231, -0.86583354565218051, -0.74211726695732327, -0.58498878606033655, -0.4011222042584015, -0.19852211184659407, 0.013808759593047724, 0.22625900242972455, 0.42903908336572988, 0.61263423194927435, 0.76825896913416514, 0.88829153315462384, 0.96666642869321839, 0.99920437022617881, 0.98386102377908657, 0.92087913039150748, 0.81283271986127859, 0.66455703958209811, 0.48296332366677897, 0.27674336086027079, 0.055974700631925785, -0.16835704134703514, -0.38489726725106244, -0.58249718413303753, -0.75079558121367618, -0.8807772378003631, -0.96527750388896616, -0.99940414055107052, -0.98085070531978158, -0.91008053699473446, -0.79036655916348153, -0.62767941683856299, -0.43042453941683434, -0.20903717243428122, 0.024547220293044292, 0.25752199792776376, 0.47690591218475858, 0.6702700665282546, 0.82645479681547807, 0.93623487063973665, 0.99289265158964735, 0.99266256453924517, 0.93501624268541406, 0.82276590205092304, 0.66197339661628929, 0.46166354924637809, 0.23335211521857976, -0.0095895741826257964, -0.2527003487596628, -0.48128300660049478, -0.68129669877065224, -0.84023397604037153, -0.9479273461671317, -0.99723238944639814, -0.98454015586016264, -0.91008053699473168, -0.77799016180242753, -0.59613248546922271, -0.37567331729755787, -0.13043111482230935, 0.12396308361602595, 0.37104727229943907, 0.59459149924435239, 0.77967435406322239, 0.91370141006883898, 0.98729522857459673, 0.99499250904629022, 0.93569463493371918, 0.81283271986127059, 0.63422647791661613, 0.41163671634210847, 0.16003264759379121, -0.1033839317883601, -0.36033676125160785, -0.59273942915648381, -0.78397929272312317, -0.9201297299918394, -0.99100117924590703, -0.99094976176793526, -0.91937694488673249, -0.78087390759575936, -0.58498878606034577, -0.34562217432566072, -0.080084217820004439, 0.19212671735369832, 0.45074058099674741, 0.67622628148098096, 0.8512844415843499, 0.9622075484547904, 0.99999882287700514, 0.96115589380530075, 0.84804809615642662, 0.66884549507132596, 0.43699156182726329, 0.17024729818871992, -0.110630256376269, -0.3834806669755868, -0.62648422584859709, -0.81992136714207986, -0.94780510850409849, -0.99924960424107578, -0.96945475889963539, -0.86021435641350186, -0.67989149721536402, -0.44284765362705225, -0.16835704134703849, 0.12091746343008787, 0.40077079795558007, 0.64747701163478444, 0.83981774665941822, 0.96094386528026088, 0.99990465453387189, 0.95270229095965364, 0.82276590205091937, 0.62078697520272341, 0.36391230372523531, 0.074347571843515148, -0.22252093395631911, -0.50033216089251542, -0.73409463523198404, -0.90246139255836555, -0.98972693214480445, -0.98735610690369835, -0.89489156836093631, -0.72013871347379788, -0.47859081942819004, -0.19212671735370601, 0.11291736677555103, 0.40813786714038369, 0.66570278481121115, 0.8609957613666358, 0.97501319700248934, 0.99627781994202547, 0.92207112396763291, 0.75884677538694123, 0.5217624778744816, 0.23335211521858765, -0.07855469695947305, -0.38348066697558636, -0.65126920047307302, -0.85508594369616242, -0.97415389500088145, -0.99593983608294245, -0.91755646763273546, -0.74621699410735365, -0.49867062121686356, -0.19964984230321028, 0.12053668025531283, 0.42903908336570928, 0.69383011851338472, 0.88705510950404576, 0.98801617809016951, 0.98546660117894946, 0.878954350875643, 0.67904717547725413, 0.40638618731229703, 0.089639308903445084, -0.23745301300756336, -0.53964301532054448, -0.78397929272311817, -0.94343906000553723, -0.9999855802751384, -0.9466986959828072, -0.78871871430905482, -0.54286844851759386, -0.23596226275400908, 0.098040999161486744, 0.42174894365151211, 0.69851136524894031, 0.89659687467502402, 0.99289265158964801, 0.97569030982012916, 0.84621360604462359, 0.6186796598453691, 0.31885024116900984, -0.018794746789845506, -0.3549635227474629, -0.65010409366874566, -0.86907778464520169, -0.98540136871197892, -0.98454015586016408, -0.86583354565218329, -0.64278760968653159, -0.3416596625634602, 0.0015343547843220864, 0.34526219919889184, 0.64747701163477833, 0.87078037014119347, 0.98711172199712383, 0.98137012613941121, 0.85349083557870198, 0.61867965984537487, 0.30573182735974569, -0.04639758733025956, 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0.47690591218530526, -0.45279386036808306, 0.4290390833651167, -0.40568509645037554, 0.3827720280763382, -0.36033676125198227, 0.33841307983513402, -0.31703181849472845, 0.29622101515464083, -0.2760060647928777, 0.25640987367073959, -0.23745301300816751, 0.2191538713382635, -0.20152880479604404, 0.18459228461925636, -0.16835704134700888, 0.15283420512977428, -0.13803344170061341, 0.12396308361540023, -0.110630256377754, 0.098040999160336914, -0.086200379880266867, 0.075112604335562244, -0.064781119288953887, 0.055208709333225685, -0.046397587328288914, 0.038349478447046295, -0.03106569760236999, 0.024547220292490568, -0.018794746789342908, 0.013808759594209193, -0.0095895741816169593, 0.0061373830151254354, -0.0034522927602768901, 0.0015343547837478589, -0.00038358883724551112, -4.1594761818964385e-13}; + static constexpr double chirp[4096] = {0.70778656056860867, 0.19525111925696981, -0.14391028185304666, -0.29203215119175963, -0.29268718975158137, -0.21127751102431147, 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-0.17085176302192046, 0.15521620264705327, -0.14030130703799309, 0.12611560802995275, -0.11266641101216936, 0.099959916509752333, -0.088001336170244984, 0.076795002856173605, -0.066344474677420801, 0.056652632855582453, -0.047721773186468711, 0.039553691070847996, -0.032149760024250379, 0.025511003526554575, -0.01963816027682249, 0.014531742713233107, -0.010192088794900394, 0.0066194070920321951, -0.0038138150657200378, 0.0017753706086779436, -0.00050409682319500358, -1.6399016921790056e-12}; +}; + +struct case_tupw_hp_zeta_2_100Hz_1000Hz_z50 +{ + static constexpr int order = 2; + static constexpr double cutoff_hz = 100.0; + static constexpr double sample_rate_hz = 1000.0; + + static constexpr double b[3] = {0.69905993658954946, -1.3981198731790989, 0.69905993658954935}; + static constexpr double a[3] = {1, -1.2505164308487395, 0.5457233155094573}; + static constexpr double step[256] = {0.69905993658954946, 0.17512600026376013, -0.16249536553682731, -0.29877346603642396, 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9.2883321256564955e-08, -2.7874908725689096e-07, -3.9926890782471247e-07, -3.4717245356308268e-07, -2.1625450541407076e-07, -8.0969709936873357e-08, 1.6761172894064202e-08, 6.5147180539071314e-08, 7.2320656685498363e-08, 5.488583398882696e-08, 2.9168568560500319e-08, 6.5232949042481891e-09, -7.7604805914788244e-09, -1.326452270244971e-08, -1.2352428524486925e-08, -8.2081557106761238e-09, -3.5234255513216794e-09, 7.3280270740383457e-11, 2.0144534929045221e-09, 2.4791162456239135e-09, 2.0008411594218956e-09, 1.1491730900203834e-09, 3.451540164789435e-10, -1.9550994156958268e-10, -4.3284709150270828e-10, -4.3458814324992545e-10, -3.0724500721390768e-10, -1.4705014983462661e-10, -1.6218026921421824e-11, 5.9967697474405668e-11, 8.3841045217525334e-11, 7.2118644389718156e-11, 4.443134749010369e-11, 1.6205148334336172e-11, -3.9825920339353615e-12, -1.3823941991120137e-11, -1.5113799101129644e-11, -1.1356138251983339e-11, -5.9532379026450144e-12, -1.2474465904688259e-12, 1.6887602427573256e-12, 2.7925439738396562e-12, 2.5703883466121624e-12, 1.6902035326893383e-12, 7.1076478036502522e-13, -3.3639757646142243e-14, -4.3010039973978564e-13, -5.1969539782703578e-13, -4.1533443351227106e-13, -2.3581137043038325e-13, -6.8278716014447127e-14, 4.3187675657918589e-14, 9.1149310321725352e-14, 9.0372154204487742e-14, 6.3171690101171407e-14, 2.964295475749168e-14, 2.4424906541753444e-15, -1.3211653993039363e-14, -1.7985612998927536e-14, -1.5432100042289676e-14, -9.6589403142388619e-15, -3.7747582837255322e-15, 3.3306690738754696e-16, 2.4424906541753444e-15, 2.7755575615628914e-15, 1.9984014443252818e-15, 8.8817841970012523e-16, -1.1102230246251565e-16, -6.6613381477509392e-16, -8.8817841970012523e-16, -8.8817841970012523e-16, -7.7715611723760958e-16, -6.6613381477509392e-16, -5.5511151231257827e-16, -4.4408920985006262e-16, -3.3306690738754696e-16, -3.3306690738754696e-16, -3.3306690738754696e-16, -3.3306690738754696e-16, -3.3306690738754696e-16, -3.3306690738754696e-16, -3.3306690738754696e-16, -3.3306690738754696e-16, -3.3306690738754696e-16, -3.3306690738754696e-16, -3.3306690738754696e-16, -3.3306690738754696e-16, -3.3306690738754696e-16, -3.3306690738754696e-16, -3.3306690738754696e-16, -3.3306690738754696e-16, -3.3306690738754696e-16, -3.3306690738754696e-16, -3.3306690738754696e-16, -3.3306690738754696e-16, -3.3306690738754696e-16, -3.3306690738754696e-16, -3.3306690738754696e-16, -3.3306690738754696e-16, -3.3306690738754696e-16, -3.3306690738754696e-16, -3.3306690738754696e-16, -3.3306690738754696e-16, -3.3306690738754696e-16, -3.3306690738754696e-16, -3.3306690738754696e-16, -3.3306690738754696e-16, -3.3306690738754696e-16, -3.3306690738754696e-16, -3.3306690738754696e-16, -3.3306690738754696e-16, -3.3306690738754696e-16, -3.3306690738754696e-16, -3.3306690738754696e-16, -3.3306690738754696e-16, -3.3306690738754696e-16, -3.3306690738754696e-16, -3.3306690738754696e-16, -3.3306690738754696e-16, -3.3306690738754696e-16, -3.3306690738754696e-16, -3.3306690738754696e-16, -3.3306690738754696e-16, -3.3306690738754696e-16, -3.3306690738754696e-16, -3.3306690738754696e-16, -3.3306690738754696e-16, -3.3306690738754696e-16, -3.3306690738754696e-16, -3.3306690738754696e-16, -3.3306690738754696e-16, -3.3306690738754696e-16, -3.3306690738754696e-16, -3.3306690738754696e-16, -3.3306690738754696e-16, -3.3306690738754696e-16, -3.3306690738754696e-16, -3.3306690738754696e-16, -3.3306690738754696e-16, -3.3306690738754696e-16, -3.3306690738754696e-16, -3.3306690738754696e-16, -3.3306690738754696e-16, -3.3306690738754696e-16, -3.3306690738754696e-16, -3.3306690738754696e-16, -3.3306690738754696e-16, -3.3306690738754696e-16, -3.3306690738754696e-16, -3.3306690738754696e-16, -3.3306690738754696e-16, -3.3306690738754696e-16, -3.3306690738754696e-16, -3.3306690738754696e-16, -3.3306690738754696e-16, -3.3306690738754696e-16, -3.3306690738754696e-16, -3.3306690738754696e-16, -3.3306690738754696e-16, -3.3306690738754696e-16, -3.3306690738754696e-16, -3.3306690738754696e-16, -3.3306690738754696e-16, -3.3306690738754696e-16, -3.3306690738754696e-16, -3.3306690738754696e-16, -3.3306690738754696e-16, -3.3306690738754696e-16, -3.3306690738754696e-16, -3.3306690738754696e-16, -3.3306690738754696e-16, -3.3306690738754696e-16, -3.3306690738754696e-16, -3.3306690738754696e-16, -3.3306690738754696e-16, -3.3306690738754696e-16, -3.3306690738754696e-16, -3.3306690738754696e-16, -3.3306690738754696e-16, -3.3306690738754696e-16, -3.3306690738754696e-16, -3.3306690738754696e-16, -3.3306690738754696e-16, -3.3306690738754696e-16, -3.3306690738754696e-16, -3.3306690738754696e-16, -3.3306690738754696e-16, -3.3306690738754696e-16, -3.3306690738754696e-16, -3.3306690738754696e-16, -3.3306690738754696e-16, -3.3306690738754696e-16, -3.3306690738754696e-16, -3.3306690738754696e-16, -3.3306690738754696e-16, -3.3306690738754696e-16, -3.3306690738754696e-16, -3.3306690738754696e-16, -3.3306690738754696e-16, -3.3306690738754696e-16, -3.3306690738754696e-16, -3.3306690738754696e-16, -3.3306690738754696e-16, -3.3306690738754696e-16, -3.3306690738754696e-16, -3.3306690738754696e-16, -3.3306690738754696e-16, -3.3306690738754696e-16, -3.3306690738754696e-16, -3.3306690738754696e-16}; + static constexpr double impulse[256] = {0.69905993658954946, -0.52393393632578933, -0.33762136580058738, -0.1362781004995966, 0.013829847291926461, 0.091664588110653866, 0.10708080344221509, 0.083882801194419404, 0.04646033007733761, 0.012322605762327354, -0.0099448643928067276, -0.019160949598100614, -0.018533937934354937, -0.012720416972256527, -0.0057926883720712825, -0.00030202386329897073, 0.0027835193005560444, 0.0036456580849724136, 0.0030399239550305433, 0.0018119542369513749, 0.00060692116561779407, -0.00022986078390559248, -0.000618655717835522, -0.00064819875109327905, -0.00047296833920169347, -0.00023771750788724395, -3.9159799313263617e-05, 8.0758014088896989e-05, 0.00012235963905679888, 0.00010894120791069585, 6.9458262578217061e-05, 2.7406941435636521e-05, -3.6321627591384711e-06, -1.9498686158048638e-05, -2.2401271517215681e-05, -1.7372270445933418e-05, -9.4994134697851874e-06, -2.3987196017104691e-06, 2.184413139188484e-06, 4.0406817363400354e-06, 3.8608537223632672e-06, 2.622966782844788e-06, 1.1731051654527529e-06, 3.5573155306964373e-08, -5.957060251236538e-07, -7.6435327262997053e-07, -6.3074565929734402e-07, -3.7163240847771806e-07, -1.2051982060233175e-07, 5.2096454199066955e-08, 1.3091794804860151e-07, 1.3528479541597646e-07, 9.7730882842911085e-08, 4.8386007703988173e-08, 7.1734762443111294e-09, -1.7434822638672398e-08, -2.5717265418367208e-08, -2.2645273746470634e-08, -1.4283775551081058e-08, -5.5040421516391496e-09, 9.1209420502007435e-10, 4.1442729215558452e-09, 4.6847303087065759e-09, 3.5967058660051396e-09, 1.9411732260344762e-09, 4.6466276417112795e-10, -4.7827506749013497e-10, -8.5166813461896058e-10, -8.0401914041508045e-10, -5.4066398766792397e-10, -2.3733720910655763e-10, -1.741135712829589e-12, 1.2734312983016106e-10, 1.6019485456227798e-10, 1.30832182749286e-10, 7.6185727052505515e-11, 2.3873330930035882e-11, -1.1722334974492577e-11, -2.7687205800909465e-11, -2.8226154270535266e-11, -2.0187715948110676e-11, -9.8414000018216089e-12, -1.2899251250666324e-12, 3.7576088747884287e-12, 5.402893854636288e-12, 4.7057927658170571e-12, 2.9361860261255779e-12, 1.1036880394363981e-12, -2.221651452833409e-13, -8.80129460708079e-13, -9.7937565221482792e-13, -7.4441817769267952e-13, -3.9643903457125943e-13, -8.950717050521402e-14, 1.0441583694804624e-13, 1.7941986959433043e-13, 1.6738533821746568e-13, 1.1140450962082182e-13, 4.7967088011776927e-14, -8.1240665428547024e-16, -2.7192686174835676e-14, -3.356155160762676e-14, -2.7129588873175686e-14, -1.5610675431121507e-14, -4.7161569349862575e-15, 2.6214778159521099e-15, 5.8519178809772017e-15, 5.8873178968836531e-15, 4.1686597355868985e-15, 2.0001308518234664e-15, 2.2626168191747034e-16, -8.0857408900058945e-16, -1.1346114590825365e-15, -9.7759253952753356e-16, -6.0331160608878182e-16, -2.209560344474883e-16, 5.293205838834147e-17, 1.8677326843377103e-16, 2.0467678261932699e-16, 1.5402515238050872e-16, 8.0914091396979425e-17, 1.7129283950178804e-17, -2.2736255200222672e-17, -3.777991033344306e-17, -3.4836694057827971e-17, -2.2946480388947975e-17, -9.68375457390133e-18, 4.1273515015918257e-19, 5.8007827395121855e-18, 7.028734932971589e-18, 5.6239261326048629e-18, 3.1970675032435898e-18, 9.288778280732593e-19, -5.8313729152093312e-19, -1.2361330525269208e-18, -1.2275730767741138e-18, -8.6051367473775322e-19, -4.061712397422733e-19, -3.8321433416801983e-20, 1.7373553347535319e-19, 2.3817203893249246e-19, 2.0302651670385345e-19, 1.2391196028826747e-19, 4.4157638487191881e-20, -1.2401793324077406e-20, -3.960649920404737e-20, -4.2760630251980185e-20, -3.1858680662193486e-20, -1.6504330718851329e-20, -3.2529119053559159e-21, 4.9389782944050795e-21, 7.9514633788098513e-21, 7.2481199944417689e-21, 4.7245941875765625e-21, 1.9527145860797916e-21, -1.3641952983021784e-22, -1.2362367417004885e-21, -1.4714870397961822e-21, -1.1654755076106996e-21, -6.5442148593218582e-22, -1.8233766270026688e-22, 1.2911681987429904e-22, 2.6096861858278277e-22, 2.5588348644382767e-22, 1.7756984440394804e-22, 8.2412423444146234e-23, 6.1540854003477513e-24, -3.7278596051127607e-23, -4.9975924769514129e-23, -4.2151916036578808e-23, -2.5438636234627819e-23, -8.8081492152281514e-24, 2.8677215889898755e-24, 8.3929453593678251e-24, 8.9305335416035404e-24, 6.5875529616170901e-24, 3.3642428439961479e-24, 6.1205971047465231e-25, -1.0705550343954686e-24, -1.6727619151293568e-24, -1.5075894169616292e-24, -9.724001585018469e-25, -3.9327568051520819e-25, 3.8863738162062374e-26, 2.6321945141585965e-25, 3.079514008716319e-25, 2.414532949596191e-25, 1.3388505313012186e-25, 3.5658766118227587e-26, -2.8472322156694025e-26, -5.5064926754379962e-26, -5.3321585622230047e-26, -3.6629304542820925e-26, -1.6706714687375155e-26, -9.0255570215073254e-28, 7.9885829951692039e-27, 1.0482399984867591e-26, 8.7488574174592907e-27, 5.2200998774474865e-27, 1.7533651906441807e-27, -6.5611823223237351e-28, -1.7773388951232261e-27, -1.8645324744780839e-27, -1.3616932205553393e-27, -6.8530090223255595e-28, -1.1387229928906633e-28, 2.3158549920847014e-28, 3.5174424061921419e-28, 3.1348034589878085e-28, 2.0005729009249785e-28, 7.9101394660807131e-29, -1.025833391472515e-29, -5.5995690469214422e-29, -6.4425318992925876e-29, -5.0006766106224167e-29, -2.7375883985869248e-29, -6.9441345359437664e-30, 6.2559038385489552e-30, 1.1612686662214128e-29, 1.1107862893115496e-29, 7.5532511921799974e-30, 3.3836449558934557e-30, 1.0931833003099552e-31, -1.7098295759403231e-30, -2.1978275401749786e-30, -1.8153255860223966e-30, -1.0706887405188394e-30, -3.4824836481026054e-31, 1.4880950714314929e-31, 3.7613598601401344e-31, 3.8915541312652782e-31, 2.81379060898466e-31, 1.3949795665045848e-31, 2.0889372832775159e-32, -5.0004783452572141e-32, -7.3931621129689862e-32, -6.5163930764890911e-32, -4.1142356716302353e-32, -1.5887716728931086e-32, 2.5844924968945949e-33, 1.1902247781959319e-32, 1.3473538601058458e-32, 1.0353547280712419e-32, 5.5944568350858904e-33, 1.3457880446346362e-33, -1.3700954702622081e-33, -2.4477548110853247e-33, -2.3132645673552698e-33, -1.556978479318257e-33, -6.8462476151769676e-34, -6.4550553333473641e-36, 3.6554354197892032e-34, 4.6064087963359716e-34, 3.765533550106229e-34, 2.19503689439163e-34, 6.8999024912985452e-35}; + static constexpr double chirp_in[4096] = {1, 0.99999992642979929, 0.99999882287700514, 0.99999404081958787, 0.9999811660875062, 0.99995401897637071, 0.99990465453387189, 0.99982336314626385, 0.99969867158853654, 0.99951734473821929, 0.99926438818900221, 0.998923052036508, 0.99847483614453059, 0.99789949723582638, 0.99717505818699503, 0.99627781994202647, 0.99518237649358454, 0.9938616334148932, 0.99228683045801158, 0.99042756876612315, 0.98825184327798898, 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0.18459228461925636, -0.16835704134700888, 0.15283420512977428, -0.13803344170061341, 0.12396308361540023, -0.110630256377754, 0.098040999160336914, -0.086200379880266867, 0.075112604335562244, -0.064781119288953887, 0.055208709333225685, -0.046397587328288914, 0.038349478447046295, -0.03106569760236999, 0.024547220292490568, -0.018794746789342908, 0.013808759594209193, -0.0095895741816169593, 0.0061373830151254354, -0.0034522927602768901, 0.0015343547837478589, -0.00038358883724551112, -4.1594761818964385e-13}; + static constexpr double chirp[4096] = {0.69905993658954946, 0.1751259488337803, -0.1624961498704286, -0.29877699028714899, -0.28495325511343994, -0.19329913505414575, -0.08623364055459426, -0.0023710583867891932, 0.044064321440550613, 0.056357508355667441, 0.046378989155474448, 0.027180299031506761, 0.0086045994584726948, -0.0041615965083324769, -0.010004105291843923, -0.010360014794146499, -0.0076344525323173151, -0.0040508046552447663, -0.001076902113844258, 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-0.047767128999977121, 0.039594937510896738, -0.032186891048472638, 0.025544014734708801, -0.019667048582524067, 0.014556506053781271, -0.010212725875969815, 0.0066359171687740979, -0.0038261977614416532, 0.0017836257682384761, -0.00050822440415810633, -1.8047368335841357e-12}; +}; + +struct case_hp_zeta_3_100Hz_1000Hz_z50 +{ + static constexpr int order = 3; + static constexpr double cutoff_hz = 100.0; + static constexpr double sample_rate_hz = 1000.0; + + static constexpr double b[4] = {1, -2.686436916024558, 2.4528519895768621, -0.76641507355230443}; + static constexpr double a[4] = {1, -1.7833136068783797, 1.2002551197054125, -0.28460954333603011}; + static constexpr double step[256] = {1, 0.096876690853821668, -0.26107852516413788, -0.2972520872303348, -0.18916082461364869, -0.054860172702335008, 0.044607574932149952, 0.091558522589892943, 0.094123360270134127, 0.070653625134429854, 0.039083955332238185, 0.011684980644995901, -0.0059640365209800983, -0.013537038643724575, 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-2.886579864025407e-15, -2.886579864025407e-15, -2.886579864025407e-15, -2.886579864025407e-15, -2.886579864025407e-15, -2.886579864025407e-15, -2.886579864025407e-15, -2.886579864025407e-15, -2.886579864025407e-15, -2.886579864025407e-15, -2.886579864025407e-15, -2.886579864025407e-15, -2.886579864025407e-15, -2.886579864025407e-15, -2.886579864025407e-15, -2.886579864025407e-15, -2.886579864025407e-15, -2.886579864025407e-15, -2.886579864025407e-15, -2.886579864025407e-15, -2.886579864025407e-15, -2.886579864025407e-15, -2.886579864025407e-15, -2.886579864025407e-15, -2.886579864025407e-15, -2.886579864025407e-15, -2.886579864025407e-15, -2.886579864025407e-15, -2.886579864025407e-15, -2.886579864025407e-15, -2.886579864025407e-15, -2.886579864025407e-15, -2.886579864025407e-15, -2.886579864025407e-15, -2.886579864025407e-15, -2.886579864025407e-15, -2.886579864025407e-15}; + static constexpr double impulse[256] = {1, -0.90312330914617833, -0.35795521601795977, -0.03617356206619704, 0.10809126261668613, 0.13430065191131366, 0.099467747634484849, 0.046950947657742798, 0.0025648376802410722, -0.023469735135704141, -0.031569669802191461, -0.027398974687242166, -0.017649017165975923, -0.0075730021227445252, -0.00011972419278929308, 0.0038529500713522322, 0.0048593691883763012, 0.004007181497531119, 0.0024101649031952202, 0.00087146260429317619, -0.00019823954819575182, -0.00071354480369068441, -0.00078650955104661233, -0.00060257824783542557, -0.00033365553396114806, -9.561295088840265e-05, 5.8464366601162745e-05, 0.00012405868513910522, 0.00012385102763726871, 8.8602667509065942e-05, 4.4661798296538965e-05, 8.5493717301038543e-06, -1.3142176386006438e-05, -2.0986875144739037e-05, -1.9218982736180161e-05, -1.2824257904362303e-05, -5.7750561453311903e-06, -3.762608982495388e-07, 2.610643339651253e-06, 3.4635687675128167e-06, 2.9361038348973271e-06, 1.8218417830325626e-06, 7.1060630667408515e-07, -8.3797859915288674e-08, -4.8383316359535135e-07, -5.600021172807066e-07, -4.4178583458182642e-07, -2.5340081756555287e-07, -8.101936305506258e-08, 3.3926231431218941e-08, 8.5624724475199438e-08, 8.8916719353726783e-08, 6.5450610812515385e-08, 3.4365830939899889e-08, 8.0341701014395993e-09, -8.2924512122585857e-09, -1.4650251427864761e-08, -1.3886334209425209e-08, -9.5397602167197167e-09, -4.5148418406729061e-09, -5.5341608445196779e-10, 1.716940801443489e-09, 2.441117307601324e-09, 2.1350032243974055e-09, 1.3660744919809553e-09, 5.6835596103465001e-10, -1.8438691318885044e-11, -3.2625628384322758e-10, -3.9792660612866082e-10, -3.2328498374526014e-10, -1.917607160945851e-10, -6.7198747063620443e-11, 1.8315349656034583e-11, 5.8740722619771238e-11, 6.3644633017325988e-11, 4.8207210306646179e-11, 2.6296947708713645e-11, 7.1486236299010374e-12, -5.0945762194757015e-12, -1.018103692559739e-11, -1.0006623984606606e-11, -7.0750720281219679e-12, -3.5041908189850002e-12, -6.0516042715054727e-13, 1.1130991278362324e-12, 1.7140255726517384e-12, 1.5484077665059303e-12, 1.0208273045861392e-12, 4.4979890889976478e-13, 1.7570943258624358e-14, -2.1800174806284676e-13, -2.8183803619295761e-13, -2.3594703252480086e-13, -1.4453538569835935e-13, -5.4769080999708498e-14, 8.6561121016729537e-15, 4.0037282245531514e-14, 4.5421684211848492e-14, 3.5409766620355093e-14, 2.002410222586991e-14, 6.13594509235e-15, -3.0137593324038718e-15, -7.040126946438095e-15, -7.1911255787877904e-15, -5.231828349905238e-15, -2.702492708106904e-15, -5.8652622351379905e-16, 7.0869223620968297e-16, 1.1986463950124556e-15, 1.120019980626411e-15, 7.6036597281002954e-16, 3.5280747270610862e-16, 3.5301590183463716e-17, -1.4409775697750057e-16, -1.989300313976509e-16, -1.7175339179671148e-16, -1.0853496877951282e-16, -4.4021384207760325e-17, 2.8830640876810564e-18, 2.7088211288619926e-17, 3.2317457288923849e-17, 2.5939944593624165e-17, 1.5179426033233398e-17, 5.1329824470791603e-18, -1.6827105838805613e-18, -4.8414796307156425e-18, -5.1532987193795323e-18, -3.8578525037074793e-18, -2.0724189986534135e-18, -5.3204377600541042e-19, 4.4064896876517682e-19, 8.3457334310609868e-19, 8.0799008182209352e-19, 5.6461168107510757e-19, 2.7461299914740321e-19, 4.2004725356795213e-20, -9.4004187169391982e-20, -1.3989785246255187e-19, -1.2469779124397134e-19, -8.1216643001038779e-20, -3.4981846115261009e-20, -3.9309202474528971e-22, 1.8171101864294245e-20, 2.2920416673869206e-20, 1.8952455144873518e-20, 1.1459492688521552e-20, 4.2114572433636085e-21, -8.4991615786885328e-22, -3.3090091858582385e-21, -3.6822639638111689e-21, -2.8368704638687529e-21, -1.5811491177792685e-21, -4.6272390322299311e-22, 2.652000835616675e-22, 5.7831152305694967e-22, 5.8130741125386212e-22, 4.1801052460968305e-22, 2.123196383578723e-22, 4.2358864692384548e-23, -6.0328808656372101e-23, -9.7998434261308835e-23, -9.0296242679097374e-23, -6.0573550456073188e-23, -2.7534398802257467e-23, -2.0979263815027926e-24, 1.2067231934512085e-23, 1.620115311719386e-23, 1.3810890021548987e-23, 8.6180804946973573e-24, 3.4031515455160343e-24, -3.442976763087329e-25, -2.2458528425880152e-24, -2.6232454772688378e-24, -2.0804633858003536e-24, -1.2007460021029434e-24, -3.9082055113225386e-25, 1.521261956480386e-25, 3.9862931072328592e-25, 4.1705957016143337e-25, 3.0858770236030464e-25, 1.6318447031137854e-25, 3.9324250509003209e-26, -3.7908519886767431e-26, -6.8358054757847875e-26, -6.5211897135461372e-26, -4.5035284829329352e-26, -2.1496477571216686e-26, -2.8410580327124018e-27, 7.9172879635347794e-27, 1.1410899139212043e-26, 1.0037854059977531e-26, 6.4579873284974589e-27, 2.7162817426785215e-27, -5.0381102103909103e-29, -1.5120715486901343e-27, -1.8629478852604325e-27, -1.5216876374765652e-27, -9.0798352526647127e-28, -3.2301874483821053e-28, 8.0681328260206985e-29, 2.7316423627759763e-28, 2.9836510470005338e-28, 2.2717445390857396e-28, 1.2475419887534722e-28, 3.4726115195659953e-29, -2.3153294577904998e-29, -4.7463547244747323e-29, -4.6969145489423533e-29, -3.3381999271393675e-29, -1.6664194690047151e-29, -3.0184366555673091e-30, 5.1176302648481469e-30, 8.006444894830435e-30, 7.2764643193999519e-30, 4.8229677677325487e-30, 2.1459611182825269e-30, 1.0908109371533538e-31, -1.0085123663328688e-30, -1.3186579528901488e-30, -1.110063018961229e-30, -6.8389677114012952e-31, -2.6254623375901009e-31, 3.6713800913056603e-32, 1.8595113423392588e-31, 2.1282009668934022e-31, 1.6678527147596986e-31, 9.4915500819554506e-32, 2.9649858666180507e-32, -1.3579139446701447e-32, -3.2789401463862694e-32, -3.3736721414847601e-32, -2.4672260048307576e-32, -1.2837881033234392e-32, -2.8827543679029298e-33, 3.2459166813226154e-33, 5.5947446152536425e-33, 5.2607966802978963e-33, 3.5903482994714061e-33, 1.6807365366522743e-33, 1.8521934818675395e-34, -6.6516105918440395e-34, -9.3014758037404901e-34, -8.076666756668578e-34, -5.1321976241276395e-34, -2.1055460123034573e-34, 1.0640118275714616e-35, 1.2562666359280859e-34, 1.513350332336221e-34, 1.2212205701762452e-34, 7.18958249060418e-35, 2.4706573367693838e-35, -7.4766605839304259e-36, -2.2525183834010569e-35, -2.4163840120888338e-35, -1.8183666617408041e-35, -9.8352895694825171e-36}; + static constexpr double chirp_in[4096] = {1, 0.99999992642979929, 0.99999882287700514, 0.99999404081958787, 0.9999811660875062, 0.99995401897637071, 0.99990465453387189, 0.99982336314626385, 0.99969867158853654, 0.99951734473821929, 0.99926438818900221, 0.998923052036508, 0.99847483614453059, 0.99789949723582638, 0.99717505818699503, 0.99627781994202647, 0.99518237649358454, 0.9938616334148932, 0.99228683045801158, 0.99042756876612315, 0.98825184327798898, 0.98572608093165093, 0.98281518530153245, 0.97948258832792745, 0.9756903098201305, 0.97139902543374301, 0.96656814383854717, 0.96115589380530031, 0.95511942194735522, 0.94841490185561306, 0.94099765536237645, 0.93282228666059408, 0.92384282998911005, 0.91401291157120323, 0.90328592646221384, 0.89161523092170281, 0.87895435087564089, 0.86525720697385833, 0.85047835667664762, 0.83457325372130264, 0.81749852522376165, 0.79921226656174948, 0.77967435406322239, 0.75884677538693723, 0.73669397733007314, 0.7131832306305963, 0.68828501114913054, 0.66197339661628929, 0.6342264779166199, 0.60502678364962148, 0.57436171646195799, 0.54222399938345511, 0.50861213012343165, 0.4735308409942906, 0.43699156182725674, 0.39901288293222104, 0.35962101483159181, 0.31885024116901001, 0.27674336086026408, 0.2333521152185779, 0.18873759545291671, 0.14297062560971868, 0.096132115709591626, 0.048313379525507044, -0.00038358883718521143, -0.049845885660697295, -0.099949521968676278, -0.15055930804420456, -0.20152880479580074, -0.25270034875965974, -0.30390515757424702, -0.35496352274746379, -0.4056850964493664, -0.45586927889726703, -0.50530571264738766, -0.55377488976053313, -0.60104887736125978, -0.64689216655377857, -0.69106264898686465, -0.73331272456861973, -0.77339054291489417, -0.81104138006864557, -0.8460091508484886, -0.87803805587175265, -0.9068743608505454, -0.93226830418043516, -0.95397612713425417, -0.97176221914417393, -0.9854013687119787, -0.99468110844139446, -0.99940414055107041, -0.99939082701909576, -0.99448172624942033, -0.98454015586016352, -0.96945475889963473, -0.94914204852736517, -0.92354890398720091, -0.89265498858333392, -0.85647505838693705, -0.81506112859245528, -0.7685044628528731, -0.71693734959881206, -0.66053462833527321, -0.59951492826162256, -0.53414158132492895, -0.46472317204376912, -0.39161368717798556, -0.3152122296164856, -0.23596226275400647, -0.15435035416899404, -0.070904390633105427, 0.013808759593039822, 0.09918615657250443, 0.18459228461860086, 0.2693631422116452, 0.35281092692297711, 0.43422930879702298, 0.51289927740590668, 0.5880955389371294, 0.65909343027171097, 0.72517630714337644, 0.78564335324217838, 0.83981774665942033, 0.88705510950404776, 0.92675215601078931, 0.9583554441811033, 0.98137012613941343, 0.99536858315359633, 0.99999882287700514, 0.99499250904629088, 0.98017248784854372, 0.95545967068985072, 0.92087913039150604, 0.87656526714078131, 0.82276590205092281, 0.7598451601445787, 0.68828501114912999, 0.60868534583648182, 0.52176247787447139, 0.42834597636238814, 0.32937375243207906, 0.22588534448833064, 0.11901337075840943, 0.0099731446764950698, -0.099949521968675376, -0.20941227153109016, -0.31703181849493733, -0.42140110777252832, -0.52110785216033795, -0.61475425146856222, -0.70097765980614957, -0.77847193249159985, -0.84600915084848771, -0.90246139255836488, -0.94682218813969621, -0.97822728137500836, -0.99597429399523896, -0.99954088350734849, -0.98860097853545059, -0.9630386791909602, -0.92295942146047771, -0.86869802495628545, -0.80082327303127221, -0.72013871347380276, -0.6276794168385581, -0.52470448779900736, -0.41268519236054085, -0.29328863974147795, -0.16835704134703858, -0.039882659401103367, 0.09002134692995295, 0.21915387133951877, 0.34526219919889106, 0.46608122869670787, 0.57937497068616284, 0.68297963205683976, 0.7748475038260193, 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1.1918589498713428, -1.2864582206592863, 1.3697271276806848, -1.4412620745299205, 1.5007786222538457, -1.5481077319994432, 1.5831910560531195, -1.6060754013833713, 1.6169064894893401, -1.615922134483804, 1.6034449580409451, -1.5798747553310619, 1.5456806205413849, -1.501392934174786, 1.4475953072357104, -1.3849165698105963, 1.3140228835721719, -1.235610049522414, 1.1503960739805779, -1.0591140475512104, 0.96250538362317728, -0.86131345500380918, 0.75627765965493188, -0.64812793917040412, 0.53757976679918329, -0.42532961537861624, 0.31205090958565163, -0.19839046159365059, 0.084965384233309446, 0.027639528536737651, -0.1388739678425141, 0.24822384015518043, -0.35521258165381731, 0.45940207915055609, -0.56039322184266904, 0.65782610946519315, -0.75137994357723425, 0.84077262922732754, -0.92576011449728746, 1.0061354954795352, -1.0817279138165885, 1.1524012734601634, -1.2180528024783053, 1.2786114847551069, -1.3340363854076318, 1.3843148923901292, -1.4294608954915657, 1.4695129225297754, -1.5045322509974404, 1.5346010120330842, -1.5598203020244905, 1.580308315634718, -1.596198512636307, 1.6076378294256064, -1.6147849447163352, 1.6178086075835174, -1.6168860347050154, 1.612201382469709, -1.603944298455539, 1.5923085557162091, -1.577490772333999, 1.5596892177767228, -1.5391027067717657, 1.5159295806520503, -1.4903667754705974, 1.4626089755570635, -1.4328478506752154, 1.4012713745066334, -1.3680632217457218, 1.33340224080717, -1.2974619988666498, 1.2604103957197428, -1.2224093428312315, 1.1836145037682471, -1.1441750921650904, 1.1042337233716815, -1.0639263158554866, 1.0233820385032317, -0.98272330004643138, 0.94206577685481718, -0.90151847549264075, 0.861183826518234, -0.82115780614387079, 0.78153008255094014, -0.7423841837269789, 0.70379768393052999, -0.66584240600920663, 0.62858463694029232, -0.59208535421764652, 0.5564004607461599, -0.52158102614392687, 0.48767353255533819, -0.45472012309769305, 0.42275885134413121, -0.39182393034142021, 0.36194597974867337, -0.33315226994741254, 0.30546696193868161, -0.27891134205200807, 0.2535040506436893, -0.22926130391832908, 0.20619710824878759, -0.18432346639085515, 0.16365057503788871, -0.14418701334706024, 0.12593992198611106, -0.10891517238887211, 0.09311752604601381, -0.078550783484315601, 0.065217922829322802, -0.053121227834581411, 0.042262405166384243, -0.032642690985236436, 0.024262946675760115, -0.017123743661289492, 0.011225437379610265, -0.0065682302769474428, 0.003152223865621427, -0.00097745985602982468, 4.3950292106770952e-05}; +}; + +struct case_mz_hp_zeta_3_100Hz_1000Hz_z50 +{ + static constexpr int order = 3; + static constexpr double cutoff_hz = 100.0; + static constexpr double sample_rate_hz = 1000.0; + + static constexpr double b[4] = {0.53912262791862198, -1.617367883755866, 1.617367883755866, -0.53912262791862198}; + static constexpr double a[4] = {1, -1.7833136068783788, 1.2002551197054103, -0.28460954333602917}; + static constexpr double step[256] = {0.53912262791862198, -0.11682053769393619, -0.31628972082218398, -0.27038986947003962, -0.13580981654630964, -0.0076737416518796175, 0.072366202439937966, 0.099609311326426586, 0.088592715180807358, 0.059028120391754313, 0.027281550927333975, 0.0030170894891780042, -0.010564438046134383, -0.014696393471763325, -0.012669565136831928, -0.0079611262839672792, -0.003173208243037462, 0.00029067799582593867, 0.0020612169486532439, 0.0024237831296248791, 0.0019311089713874852, 0.0011212568091251152, 0.0003715609045690238, -0.00013357256627621883, -0.00036504926452984865, -0.0003849263847207629, -0.00028630823791242488, -0.00015246401693291833, -3.7801950161120423e-05, 3.4096927960303169e-05, 6.2784785565761503e-05, 6.0281154281249805e-05, 4.1846753449203966e-05, 2.014226993007906e-05, 2.8497957608175639e-06, -7.1837976597377562e-06, -1.0498763821309431e-05, -9.2891193878008593e-06, -6.0087953445142617e-06, -2.5543017728724138e-06, 1.3194240922054234e-08, 1.3791827505604815e-06, 1.7167002489548722e-06, 1.4097989623484963e-06, 8.4616398277059801e-07, 3.0544659590514556e-07, -6.9663342983083965e-08, -2.5001908332544787e-07, -2.7531563284721727e-07, -2.1071428168983886e-07, -1.1647846498430425e-07, -3.3164192614343335e-08, 2.0690422597446911e-08, 4.3552121575807234e-08, 4.3394459692258636e-08, 3.1000965239336153e-08, 1.5595370217447169e-08, 2.9528458567185112e-09, -4.6294023059445522e-09, -7.3612532736078151e-09, -6.7305511164406084e-09, -4.4848732505542444e-09, -2.0146398993503567e-09, -1.2532164195278028e-10, 9.1815632874414632e-10, 1.2143929195573833e-09, 1.0279540552105004e-09, 6.3689931106836184e-10, 2.476120419814265e-10, -3.0306313014705211e-11, -1.6997547813701885e-10, -1.9627155456447554e-10, -1.5462531255394651e-10, -8.8546170395886747e-11, -2.817646116426431e-11, 1.2022938200573208e-11, 3.0058511235608876e-11, 3.1153857271704055e-11, 2.2901125440455417e-11, 1.200228805231518e-11, 2.7832181004328049e-12, -2.9244384691651248e-12, -5.1397774925021622e-12, -4.8635540039754233e-12, -3.336553255905983e-12, -1.5752954496406346e-12, -1.8884893648873913e-13, 6.042943923034727e-13, 8.5609297428845821e-13, 7.4773520708504293e-13, 4.7772896749620486e-13, 1.9817480989559044e-13, -6.9944050551384862e-15, -1.1424194923392861e-13, -1.3888890038060708e-13, -1.1246559239452836e-13, -6.6280314570121845e-14, -2.2537527399890678e-14, 7.4384942649885488e-15, 2.1427304375265521e-14, 2.2759572004815709e-14, 1.6986412276764895e-14, 8.992806499463768e-15, 1.8873791418627661e-15, -2.55351295663786e-15, -4.3298697960381105e-15, -4.1078251911130792e-15, -2.7755575615628914e-15, -1.2212453270876722e-15, -1.1102230246251565e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16, 3.3306690738754696e-16}; + static constexpr double impulse[256] = {0.53912262791862198, -0.65594316561255817, -0.1994691831282478, 0.045899851352144305, 0.13458005292372982, 0.12813607489442985, 0.080039944091817389, 0.027243108886488704, -0.011016596145619138, -0.029564594789053086, -0.031746569464420449, -0.024264461438155888, -0.013581527535312166, -0.0041319554256286813, 0.002026828334931622, 0.0047084388528646805, 0.0047879180409297305, 0.0034638862388631699, 0.0017705389528270875, 0.00036256618097145, -0.00049267415823744975, -0.00080985216226244806, -0.00074969590455607543, -0.0005051334708452668, -0.00023147669825367015, -1.9877120191051515e-05, 9.8618146808198109e-05, 0.00013384422097958976, 0.00011466206677212892, 7.1898878121526565e-05, 2.8687857605324746e-05, -2.5036312846916757e-06, -1.8434400832227385e-05, -2.1704483519114884e-05, -1.7292474168940389e-05, -1.0033593420218492e-05, -3.314966161236406e-06, 1.2096444336132908e-06, 3.2803240432736859e-06, 3.4544935715488767e-06, 2.5674960136346549e-06, 1.3659885094300287e-06, 3.3751749837363248e-07, -3.0690128653526985e-07, -5.6363497978879809e-07, -5.4071738728181044e-07, -3.7510993908886113e-07, -1.8035574025966172e-07, -2.5296549508014121e-08, 6.4601351205317544e-08, 9.4235816811713253e-08, 8.3314272448103717e-08, 5.3854615181431633e-08, 2.2861698784557451e-08, -1.5766203759351781e-10, -1.2393494434931886e-08, -1.5405594943821942e-08, -1.2642524059327834e-08, -7.582247768320115e-09, -2.731850729542426e-09, 6.3070212570744845e-10, 2.2456774322632534e-09, 2.4702328776280402e-09, 1.8893179115302079e-09, 1.0434779095896483e-09, 2.9623670981832284e-10, -1.8643883979138488e-10, -3.9105477612517861e-10, -3.8928733662650207e-10, -2.7791818031511147e-10, -1.396690749847347e-10, -2.6295934201737895e-11, 4.1646458663144872e-11, 6.6079374415785741e-11, 6.0369798476891486e-11, 4.0199155200549149e-11, 1.8035361333089419e-11, 1.095284208771242e-12, -8.2527363387543375e-12, -1.0898801533079578e-11, -9.2188636919574246e-12, -5.7075902437383079e-12, -2.2153379272463812e-12, 2.7614555629023685e-13, 1.5269901642468843e-12, 1.7611509039410862e-12, 1.3865002690572055e-12, 7.9333038004606147e-13, 2.5184316959380468e-13, -1.084722907204602e-13, -2.6992676849935791e-13, -2.7949268735181819e-13, -2.0531437566717373e-13, -1.07501125217539e-13, -2.4824874924489099e-14, 2.6323807975592042e-14, 4.6143942015618319e-14, 4.3628438062979729e-14, 2.9910691563725434e-14, 1.4107893371681424e-14, 1.6754073643867883e-15, -5.4324262308267338e-15, -7.6833947925460875e-15, -6.7047681597142208e-15, -4.2807907024742084e-15, -1.7733274809628604e-15, 6.7400926669346922e-17, 1.0302884906373258e-15, 1.2517232525138871e-15, 1.0147890195528536e-15, 6.0052976121992799e-16, 2.0917956166084158e-16, -5.8937522411698046e-17, -1.8525642439314087e-16, -2.000957398450079e-16, -1.5125266504676356e-16, -8.2290745820896069e-17, -2.21575782918811e-17, 1.6208026185205788e-17, 3.2078008832955815e-17, 3.1445124985177736e-17, 2.2187683855297962e-17, 1.0955133716109153e-17, 1.8551405415588917e-18, -3.5258313896431312e-18, -5.3963694213616645e-18, -4.8635311378622191e-18, -3.1996664915014884e-18, -1.4043888803878544e-18, -4.8257088117368342e-20, 6.8891180290100623e-19, 8.867641312140422e-19, 7.4077419501645749e-19, 4.5276038675890789e-19, 1.7067727268011986e-19, -2.8225464093083204e-20, -1.2633119761322588e-19, -1.428340052577949e-19, -1.1112139483335314e-19, -6.2682113804719503e-20, -1.9059764407593904e-20, 9.6187813577300964e-21, 2.2189955702123481e-20, 2.2602067525545168e-20, 1.6410563594051334e-20, 8.4524072493797961e-21, 1.8091940045806144e-21, -2.2480817786620161e-21, -3.774893424465411e-21, -3.5186332645593873e-21, -2.383816947653793e-21, -1.1022063025844064e-21, -1.0582760771709877e-22, 4.557478919547819e-22, 6.2606311255708224e-22, 5.3933357966929181e-22, 3.4007565457093816e-22, 1.373071885017163e-22, -9.8162840931489656e-24, -8.5520392216701248e-23, -1.0164869765010675e-22, -8.1419025176599107e-23, -4.7531205464987994e-23, -1.5969633066307252e-23, 5.3980771867444788e-24, 1.5266263664152072e-23, 1.620035596427467e-23, 1.21032483887051e-23, 6.484251681737605e-24, 1.6472443237304584e-24, -1.4005030653103877e-24, -2.6291696957908333e-24, -2.5388516642543761e-24, -1.7704908686220806e-24, -8.5835753514571566e-25, -1.2826135529796561e-25, 2.9761920835769762e-25, 4.403979861925296e-25, 3.9164433690596246e-25, 2.5454000440444145e-25, 1.0919300261067358e-25, 6.7813975219993755e-28, -5.7405610157704996e-26, -7.2108775806331073e-26, -5.9498178533982681e-26, -3.5893168518802434e-26, -1.311862816775978e-26, 2.7525817401153466e-27, 1.0438878792038448e-26, 1.1578307492393947e-26, 8.9018466137289543e-27, 4.9488658732799399e-27, 1.4361896854900852e-27, -8.4517449336601002e-28, -1.8225107408582606e-27, -1.8269298996163031e-27, -1.3110558279616361e-27, -6.6394568170450351e-28, -1.3038358311794651e-28, 1.9125038530013611e-28, 3.0858770031946926e-28, 2.8365097874318237e-28, 1.8988636763363641e-28, 8.6000408182858437e-29, 6.1833887219651175e-30, -3.8152036595785585e-29, -5.0982153062418167e-29, -4.336513857245906e-29, -2.7000485166526426e-29, -1.0611110302838225e-29, 1.1424008827033723e-30, 7.0887027522788849e-30, 8.2501843074554244e-30, 6.529552357780051e-30, 3.7594260660883031e-30, 1.2151881990814499e-30, -4.8683581790000151e-31, -1.2567482598549885e-30, -1.3109949309217747e-30, -9.6805468560170755e-31, -5.1049926361487295e-31, -1.2158935916303003e-31, 1.2037979411913415e-31, 2.1532021339218831e-31, 2.048915101917611e-31, 1.4120786778992408e-31, 6.7178015540787316e-32, 8.6280820885386271e-33, -2.5055074127580365e-32, -3.5917449987783377e-32, -3.1523961788276098e-32, -2.0237919970847812e-32, -8.4762105679701741e-33, 2.0290504786723966e-34, 4.7755533016991622e-33, 5.8603609418063419e-33, 4.7767278219654152e-33, 2.8436435419142305e-33, 1.0057308490860163e-33, -2.6006188771726108e-34, -8.6157741378317151e-34, -9.3808151552838893e-34, -7.1279692418938421e-34, -3.9041646641949146e-34, -1.0768379109318207e-34, 7.3696585655702782e-35, 1.4955589333065475e-34, 1.4760252071961955e-34, 1.0469110854550492e-34, 5.210143171728251e-35, 9.2662391171552315e-36, -1.6214311265959743e-35, -2.5208488159318429e-35, -2.2856069750303757e-35, -1.5117670937135872e-35, -6.7010098555734839e-36}; + static constexpr double chirp_in[4096] = {1, 0.99999992642979929, 0.99999882287700514, 0.99999404081958787, 0.9999811660875062, 0.99995401897637071, 0.99990465453387189, 0.99982336314626385, 0.99969867158853654, 0.99951734473821929, 0.99926438818900221, 0.998923052036508, 0.99847483614453059, 0.99789949723582638, 0.99717505818699503, 0.99627781994202647, 0.99518237649358454, 0.9938616334148932, 0.99228683045801158, 0.99042756876612315, 0.98825184327798898, 0.98572608093165093, 0.98281518530153245, 0.97948258832792745, 0.9756903098201305, 0.97139902543374301, 0.96656814383854717, 0.96115589380530031, 0.95511942194735522, 0.94841490185561306, 0.94099765536237645, 0.93282228666059408, 0.92384282998911005, 0.91401291157120323, 0.90328592646221384, 0.89161523092170281, 0.87895435087564089, 0.86525720697385833, 0.85047835667664762, 0.83457325372130264, 0.81749852522376165, 0.79921226656174948, 0.77967435406322239, 0.75884677538693723, 0.73669397733007314, 0.7131832306305963, 0.68828501114913054, 0.66197339661628929, 0.6342264779166199, 0.60502678364962148, 0.57436171646195799, 0.54222399938345511, 0.50861213012343165, 0.4735308409942906, 0.43699156182725674, 0.39901288293222104, 0.35962101483159181, 0.31885024116901001, 0.27674336086026408, 0.2333521152185779, 0.18873759545291671, 0.14297062560971868, 0.096132115709591626, 0.048313379525507044, -0.00038358883718521143, -0.049845885660697295, -0.099949521968676278, -0.15055930804420456, -0.20152880479580074, -0.25270034875965974, -0.30390515757424702, -0.35496352274746379, -0.4056850964493664, -0.45586927889726703, -0.50530571264738766, -0.55377488976053313, -0.60104887736125978, -0.64689216655377857, -0.69106264898686465, -0.73331272456861973, -0.77339054291489417, -0.81104138006864557, -0.8460091508484886, -0.87803805587175265, -0.9068743608505454, -0.93226830418043516, -0.95397612713425417, -0.97176221914417393, -0.9854013687119787, -0.99468110844139446, -0.99940414055107041, -0.99939082701909576, -0.99448172624942033, -0.98454015586016352, -0.96945475889963473, -0.94914204852736517, -0.92354890398720091, -0.89265498858333392, -0.85647505838693705, -0.81506112859245528, -0.7685044628528731, -0.71693734959881206, -0.66053462833527321, -0.59951492826162256, -0.53414158132492895, -0.46472317204376912, -0.39161368717798556, -0.3152122296164856, -0.23596226275400647, -0.15435035416899404, -0.070904390633105427, 0.013808759593039822, 0.09918615657250443, 0.18459228461860086, 0.2693631422116452, 0.35281092692297711, 0.43422930879702298, 0.51289927740590668, 0.5880955389371294, 0.65909343027171097, 0.72517630714337644, 0.78564335324217838, 0.83981774665942033, 0.88705510950404776, 0.92675215601078931, 0.9583554441811033, 0.98137012613941343, 0.99536858315359633, 0.99999882287700514, 0.99499250904629088, 0.98017248784854372, 0.95545967068985072, 0.92087913039150604, 0.87656526714078131, 0.82276590205092281, 0.7598451601445787, 0.68828501114912999, 0.60868534583648182, 0.52176247787447139, 0.42834597636238814, 0.32937375243207906, 0.22588534448833064, 0.11901337075840943, 0.0099731446764950698, -0.099949521968675376, -0.20941227153109016, -0.31703181849493733, -0.42140110777252832, -0.52110785216033795, -0.61475425146856222, -0.70097765980614957, -0.77847193249159985, -0.84600915084848771, -0.90246139255836488, -0.94682218813969621, -0.97822728137500836, -0.99597429399523896, -0.99954088350734849, -0.98860097853545059, -0.9630386791909602, -0.92295942146047771, -0.86869802495628545, -0.80082327303127221, -0.72013871347380276, -0.6276794168385581, -0.52470448779900736, -0.41268519236054085, -0.29328863974147795, -0.16835704134703858, -0.039882659401103367, 0.09002134692995295, 0.21915387133951877, 0.34526219919889106, 0.46608122869670787, 0.57937497068616284, 0.68297963205683976, 0.7748475038260193, 0.85309080213204103, 0.91602455057213206, 0.96220754845479073, 0.99048044398756308, 0.99999992642979929, 0.99026806874157036, 0.96115589380530075, 0.91292030397297208, 0.84621360604462514, 0.7620849817471087, 0.66197339661628984, 0.54769160642970061, 0.42140110777252909, 0.2855780849582823, 0.14297062560971963, -0.0034522927617008812, -0.15055930804420603, -0.29512169978712482, -0.43388373911755923, -0.56363695259073099, -0.68129669877065169, -0.78397929272312616, -0.8690777846452038, -0.9343344109714895, -0.97790769530701704, -0.99843218742645046, -0.9950688952752843, -0.96754459005089155, -0.9161783491799238, -0.84189394582437793, -0.74621699410734765, -0.63125611230023981, -0.49966776553729064, -0.35460488704253801, -0.19964984230321187, -0.038732782291660182, 0.1239630836160234, 0.28410729153688535, 0.43733655464327453, 0.57937497068616117, 0.70615681024133081, 0.81394842128514178, 0.89946560517441376, 0.95998273974085324, 0.99342995728005579, 0.99847483614453048, 0.97458533851213081, 0.92207112396763224, 0.84210088492281143, 0.73669397733007302, 0.60868534583648282, 0.46166354924637748, 0.29988255844234957, 0.12814889944360713, -0.048313379525509959, -0.2240165573282355, -0.39337772332802823, -0.55089698145210475, -0.69133985418658528, -0.80991791317645134, -0.90246139255836466, -0.96557747552099782, -0.99678810088010106, -0.99464152469519274, -0.95879249417982837, -0.89004674065898659, -0.79036655916348131, -0.66283548908721601, -0.51158150864681218, -0.34165966256345809, -0.15889660674110515, 0.030298881123715433, 0.21915387133951658, 0.40077079795557791, 0.56838039236265869, 0.71559896074412133, 0.83668028795140859, 0.92675215601078997, 0.98202755565343003, 0.9999811660875062, 0.97948258832792812, 0.92087913039150737, 0.82602263024340583, 0.6982368180860713, 0.54222399938345556, 0.36391230372523414, 0.17024729818871898, -0.031065697601372073, -0.23185984575257096, -0.42383465395227493, -0.59890073081561812, -0.74952733250515868, -0.86907778464520447, -0.95211766591071434, -0.99468110844139468, -0.99448172624941999, -0.95105651629515231, -0.86583354565218051, -0.74211726695732327, -0.58498878606033655, -0.4011222042584015, -0.19852211184659407, 0.013808759593047724, 0.22625900242972455, 0.42903908336572988, 0.61263423194927435, 0.76825896913416514, 0.88829153315462384, 0.96666642869321839, 0.99920437022617881, 0.98386102377908657, 0.92087913039150748, 0.81283271986127859, 0.66455703958209811, 0.48296332366677897, 0.27674336086027079, 0.055974700631925785, -0.16835704134703514, -0.38489726725106244, -0.58249718413303753, -0.75079558121367618, -0.8807772378003631, -0.96527750388896616, -0.99940414055107052, -0.98085070531978158, -0.91008053699473446, -0.79036655916348153, -0.62767941683856299, -0.43042453941683434, -0.20903717243428122, 0.024547220293044292, 0.25752199792776376, 0.47690591218475858, 0.6702700665282546, 0.82645479681547807, 0.93623487063973665, 0.99289265158964735, 0.99266256453924517, 0.93501624268541406, 0.82276590205092304, 0.66197339661628929, 0.46166354924637809, 0.23335211521857976, -0.0095895741826257964, -0.2527003487596628, -0.48128300660049478, -0.68129669877065224, -0.84023397604037153, -0.9479273461671317, -0.99723238944639814, -0.98454015586016264, -0.91008053699473168, -0.77799016180242753, -0.59613248546922271, -0.37567331729755787, -0.13043111482230935, 0.12396308361602595, 0.37104727229943907, 0.59459149924435239, 0.77967435406322239, 0.91370141006883898, 0.98729522857459673, 0.99499250904629022, 0.93569463493371918, 0.81283271986127059, 0.63422647791661613, 0.41163671634210847, 0.16003264759379121, -0.1033839317883601, -0.36033676125160785, -0.59273942915648381, -0.78397929272312317, -0.9201297299918394, -0.99100117924590703, -0.99094976176793526, -0.91937694488673249, -0.78087390759575936, -0.58498878606034577, -0.34562217432566072, -0.080084217820004439, 0.19212671735369832, 0.45074058099674741, 0.67622628148098096, 0.8512844415843499, 0.9622075484547904, 0.99999882287700514, 0.96115589380530075, 0.84804809615642662, 0.66884549507132596, 0.43699156182726329, 0.17024729818871992, -0.110630256376269, -0.3834806669755868, -0.62648422584859709, -0.81992136714207986, -0.94780510850409849, -0.99924960424107578, -0.96945475889963539, -0.86021435641350186, -0.67989149721536402, -0.44284765362705225, -0.16835704134703849, 0.12091746343008787, 0.40077079795558007, 0.64747701163478444, 0.83981774665941822, 0.96094386528026088, 0.99990465453387189, 0.95270229095965364, 0.82276590205091937, 0.62078697520272341, 0.36391230372523531, 0.074347571843515148, -0.22252093395631911, 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0.18459228461925636, -0.16835704134700888, 0.15283420512977428, -0.13803344170061341, 0.12396308361540023, -0.110630256377754, 0.098040999160336914, -0.086200379880266867, 0.075112604335562244, -0.064781119288953887, 0.055208709333225685, -0.046397587328288914, 0.038349478447046295, -0.03106569760236999, 0.024547220292490568, -0.018794746789342908, 0.013808759594209193, -0.0095895741816169593, 0.0061373830151254354, -0.0034522927602768901, 0.0015343547837478589, -0.00038358883724551112, -4.1594761818964385e-13}; + static constexpr double chirp[4096] = {0.53912262791862198, -0.11682057735729612, -0.31629030717795614, -0.27039229539827248, -0.13581583002814257, -0.007685052343994081, 0.072348275895249836, 0.09958397222468085, 0.088559639436783133, 0.058987311934272646, 0.027233180407024049, 0.0029613663172898264, -0.010627341290632586, -0.014766367981770223, -0.012746559402432633, -0.0080451235026264278, -0.0032642012313152113, 0.00019270653209868538, 0.0019563061938467907, 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case_tu_hp_zeta_3_100Hz_1000Hz_z50 +{ + static constexpr int order = 3; + static constexpr double cutoff_hz = 100.0; + static constexpr double sample_rate_hz = 1000.0; + + static constexpr double b[4] = {0.53858507049011872, -1.6157552114703579, 1.6157552114703591, -0.53858507049012017}; + static constexpr double a[4] = {1, -1.7977472068514446, 1.2211383528064577, -0.2897950042630496}; + static constexpr double step[256] = {0.53858507049011872, -0.10893033485473991, -0.31493102056083488, -0.27706809009024425, -0.1450915042256915, -0.013764811757573492, 0.072138200237500616, 0.10444819445497422, 0.095691753147696179, 0.065389175854987824, 0.030968903393029157, 0.0035560210905138945, -0.012475032198956626, -0.017794714537266776, -0.015726140938363997, -0.010157019557075708, -0.0042127790723798242, 0.0002722572406226309, 0.0026903822652146747, 0.0032833211150589126, 0.0026961511842362729, 0.0016172682625490431, 0.00056655594222654315, -0.0001750527955832748, -0.000537867601335007, -0.00058900121381055826, -0.00045279395588049276, -0.00025062844125200989, -6.8332124041114994e-05, 5.1990690408842966e-05, 0.00010427822565883815, 0.00010417575468846252, 7.5010173646417044e-05, 3.7855629524852219e-05, 6.6466656252206491e-06, -1.2540362928525894e-05, -1.9690528421767439e-05, -1.8158903848819463e-05, -1.223439375941382e-05, -5.5260300420023611e-06, -2.568772485833648e-07, 2.7407806748591668e-06, 3.6394975633236015e-06, 3.1215824365382616e-06, 1.9617505937485902e-06, 7.6955582728466254e-07, -1.0748305445673623e-07, -5.644559750717093e-07, -6.604840383506172e-07, -5.292525480093957e-07, -3.0849642129737731e-07, -9.9712970103027487e-08, 4.4083353634150058e-08, 1.1161333568487919e-07, 1.1792436782620541e-07, 8.8478013138271194e-08, 4.7404119518645871e-08, 1.1350620443550952e-08, -1.1840956437580985e-08, -2.1410247574848995e-08, -2.0741413919722618e-08, -1.4574394802124857e-08, -7.0775245664123076e-09, -9.3700602832313962e-10, 2.7345496977915218e-09, 4.0092114073075891e-09, 3.5967449019125297e-09, 2.3626949285926457e-09, 1.0172540587660706e-09, -1.4093615163801587e-11, -5.8284777004757871e-10, -7.3580785908688995e-10, -6.1514349170010973e-10, -3.7625613735770003e-10, -1.3847167856795295e-10, 3.2257974069693773e-11, 1.1804712762852887e-10, 1.3269851883990214e-10, 1.037541164095046e-10, 5.8689497706154725e-11, 1.7265744389760584e-11, -1.0561551633259114e-11, -2.3063329024353152e-11, -2.3561597117804922e-11, -1.7255308293329108e-11, -8.9326324115290845e-12, -1.815880779076906e-12, 2.6425528432127976e-12, 4.3791636983314675e-12, 4.1191494659642558e-12, 2.8230751070168481e-12, 1.3138379273414102e-12, 1.0791367799356522e-13, -5.9241500593998353e-13, -8.1623596770441509e-13, -7.1298522641427553e-13, -4.5718984154063946e-13, -1.8829382497642655e-13, 1.2878587085651816e-14, 1.2034817586936697e-13, 1.4566126083082054e-13, 1.1834977442504169e-13, 6.9277916736609768e-14, 2.19824158875781e-14, -1.1102230246251565e-14, -2.708944180085382e-14, -2.9087843245179101e-14, -2.2870594307278225e-14, -1.3766765505351941e-14, -5.5511151231257827e-15, -2.2204460492503131e-16, 1.9984014443252818e-15, 1.7763568394002505e-15, 2.2204460492503131e-16, -1.5543122344752192e-15, -2.886579864025407e-15, -3.3306690738754696e-15, -3.3306690738754696e-15, -3.1086244689504383e-15, -2.886579864025407e-15, -2.6645352591003757e-15, -2.6645352591003757e-15, -2.886579864025407e-15, -2.886579864025407e-15, -2.6645352591003757e-15, -2.6645352591003757e-15, -2.886579864025407e-15, -2.886579864025407e-15, -2.6645352591003757e-15, -2.6645352591003757e-15, -2.886579864025407e-15, -2.886579864025407e-15, -2.6645352591003757e-15, -2.6645352591003757e-15, -2.886579864025407e-15, -2.886579864025407e-15, -2.6645352591003757e-15, -2.6645352591003757e-15, -2.886579864025407e-15, -2.886579864025407e-15, -2.6645352591003757e-15, -2.6645352591003757e-15, -2.886579864025407e-15, -2.886579864025407e-15, -2.6645352591003757e-15, -2.6645352591003757e-15, -2.886579864025407e-15, -2.886579864025407e-15, -2.6645352591003757e-15, -2.6645352591003757e-15, -2.886579864025407e-15, -2.886579864025407e-15, -2.6645352591003757e-15, -2.6645352591003757e-15, -2.886579864025407e-15, -2.886579864025407e-15, -2.6645352591003757e-15, -2.6645352591003757e-15, -2.886579864025407e-15, -2.886579864025407e-15, -2.6645352591003757e-15, -2.6645352591003757e-15, -2.886579864025407e-15, -2.886579864025407e-15, -2.6645352591003757e-15, -2.6645352591003757e-15, -2.886579864025407e-15, -2.886579864025407e-15, -2.6645352591003757e-15, -2.6645352591003757e-15, -2.886579864025407e-15, -2.886579864025407e-15, -2.6645352591003757e-15, -2.6645352591003757e-15, -2.886579864025407e-15, -2.886579864025407e-15, -2.6645352591003757e-15, -2.6645352591003757e-15, -2.886579864025407e-15, -2.886579864025407e-15, -2.6645352591003757e-15, -2.6645352591003757e-15, -2.886579864025407e-15, -2.886579864025407e-15, -2.6645352591003757e-15, -2.6645352591003757e-15, -2.886579864025407e-15, -2.886579864025407e-15, -2.6645352591003757e-15, -2.6645352591003757e-15, -2.886579864025407e-15, -2.886579864025407e-15, -2.6645352591003757e-15, -2.6645352591003757e-15, -2.886579864025407e-15, -2.886579864025407e-15, -2.6645352591003757e-15, -2.6645352591003757e-15, -2.886579864025407e-15, -2.886579864025407e-15, -2.6645352591003757e-15, -2.6645352591003757e-15, -2.886579864025407e-15, -2.886579864025407e-15, -2.6645352591003757e-15, -2.6645352591003757e-15, -2.886579864025407e-15, -2.886579864025407e-15, -2.6645352591003757e-15, -2.6645352591003757e-15, -2.886579864025407e-15, -2.886579864025407e-15, -2.6645352591003757e-15, -2.6645352591003757e-15, -2.886579864025407e-15, -2.886579864025407e-15, -2.6645352591003757e-15, -2.6645352591003757e-15, -2.886579864025407e-15, -2.886579864025407e-15, -2.6645352591003757e-15, -2.6645352591003757e-15, -2.886579864025407e-15, -2.886579864025407e-15, -2.6645352591003757e-15, -2.6645352591003757e-15, -2.886579864025407e-15, -2.886579864025407e-15, -2.6645352591003757e-15, -2.6645352591003757e-15, -2.886579864025407e-15, -2.886579864025407e-15, -2.6645352591003757e-15, -2.6645352591003757e-15, -2.886579864025407e-15, -2.886579864025407e-15, -2.6645352591003757e-15, -2.6645352591003757e-15, -2.886579864025407e-15, -2.886579864025407e-15, -2.6645352591003757e-15, -2.6645352591003757e-15, -2.886579864025407e-15, -2.886579864025407e-15, -2.6645352591003757e-15, -2.6645352591003757e-15, -2.886579864025407e-15, -2.886579864025407e-15, -2.6645352591003757e-15, -2.6645352591003757e-15, -2.886579864025407e-15, -2.886579864025407e-15, -2.6645352591003757e-15, -2.6645352591003757e-15, -2.886579864025407e-15, -2.886579864025407e-15}; + static constexpr double impulse[256] = {0.53858507049011872, -0.64751540534485863, -0.20600068570609487, 0.03786293047059075, 0.13197658586455283, 0.13132669246811818, 0.085903011995074413, 0.032309994217473936, -0.008756441307277929, -0.030302577292708414, -0.034420272461958799, -0.027412882302515561, -0.016031053289470736, -0.0053196823383102089, 0.0020685735989027249, 0.0055691213812884, 0.0059442404846962041, 0.0044850363130025852, 0.0024181250245922303, 0.00059293884984426646, -0.00058716993082287647, -0.0010788829216874731, -0.0010507123203225047, -0.00074160873780967375, -0.00036281480575164459, -5.1133612475686352e-05, 0.00013620725792989964, 0.00020216551462847934, 0.00018229631721085497, 0.00012032281444988196, 5.2287535249834752e-05, -1.0247097057104824e-07, -2.9165581041974591e-05, -3.7154544121565435e-05, -3.1208963899496397e-05, -1.9187028553557296e-05, -7.150165493010027e-06, 1.5316245732571465e-06, 5.9245100894725176e-06, 6.7083637172789436e-06, 5.2691527931745316e-06, 2.9976579232935554e-06, 8.9871688820133701e-07, -5.1791512705307029e-07, -1.1598318428832739e-06, -1.1921947663700548e-06, -8.7703888156595961e-07, -4.5697292025848973e-07, -9.6028063221369581e-08, 1.3123149026377026e-07, 2.207561266435759e-07, 2.0878345122118608e-07, 1.4379632368865778e-07, 6.752998221107358e-08, 6.3110321865913193e-09, -2.9446354520120232e-08, -4.1073893556604484e-08, -3.6053498961627186e-08, -2.3191576768116473e-08, -9.5692911807877357e-09, 6.688334765103428e-10, 6.167018895894553e-09, 7.4968700063561112e-09, 6.1405184179726831e-09, 3.6715556109904729e-09, 1.2746617736084911e-09, -4.1246616674351196e-10, -1.2340498038544936e-09, -1.3454407184326037e-09, -1.031347383336206e-09, -5.6875408314951221e-10, -1.5296021824282168e-10, 1.2066429979312146e-10, 2.3888740491878525e-10, 2.3778425355506375e-10, 1.7072931678608244e-10, 8.5789057197119738e-11, 1.4651610051288023e-11, -2.8943913863079872e-11, -4.5064243070530716e-11, -4.142363041311425e-11, -2.7827341960545572e-11, -1.2501934986472535e-11, -4.9864532964614489e-13, 6.3059293656079769e-12, 8.3223835374017916e-12, 7.1166246348475637e-12, 4.458537162609839e-12, 1.7367246192856769e-12, -2.599366268906181e-13, -1.2960195897784453e-12, -1.5092028947040429e-12, -1.2058743973572459e-12, -7.0049179531786592e-13, -2.241271524793052e-13, 1.030170586168128e-13, 2.5588986837383503e-13, 2.6927628575213921e-13, 2.0146758715737968e-13, 1.0751979754633781e-13, 2.5308540572386876e-14, -2.7413890067184639e-14, -4.9029773655410464e-14, -4.7332697457847119e-14, -3.3164495996434291e-14, -1.6030191302149869e-14, -2.036572887570561e-15, 6.3029329230317718e-15, 9.1725479619065639e-15, 8.2029807021123034e-15, 5.3724940091375927e-15, 2.2995703317963897e-15, -4.9329516297083403e-17, -1.3398536029896197e-15, -1.6820759139825563e-15, -1.4020961017032968e-15, -8.5484982026856485e-16, -3.1210774921830044e-16, 7.6478621255448824e-17, 2.7088476321540312e-16, 3.0314408234906999e-16, 2.3635177613611517e-16, 1.332209311111134e-16, 3.8728978842083563e-17, -2.4562710865858331e-17, -5.2844225981621973e-17, -5.3782626780846755e-17, -3.9275606901954363e-17, -2.0245577022237798e-17, -4.0214161823307961e-18, 6.111286197593619e-18, 1.0030186145367074e-17, 9.4036268464733533e-18, 6.4281191193093884e-18, 2.9797016310935998e-18, 2.3225157361392249e-19, -1.3582615163134169e-18, -1.8619195042804804e-18, -1.6213300117255459e-18, -1.0346975853591207e-18, -4.198314048215029e-19, 3.8904832012066002e-20, 2.8276309206275393e-19, 3.3916333272705805e-19, 2.7571150355931356e-19, 1.6343756343165868e-19, 5.5425371301166171e-20, -2.0039254200917819e-20, -5.6344170490058478e-20, -6.0759877541982982e-20, -4.6234148353842809e-20, -2.5249353413301535e-20, -6.5415717806481562e-21, 5.6744362201683459e-21, 1.0872229574203245e-20, 1.0720533828209901e-20, 7.6407365006586584e-21, 3.7955754979659216e-21, 5.9984601166778115e-22, -1.3423040527407085e-21, -2.0456795145717396e-21, -1.8646432959969045e-21, -1.2430925730449609e-21, -5.5060646165024045e-22, -1.2227523384501974e-23, 2.9014265410803772e-22, 3.7697164187464871e-22, 3.1985191833463159e-22, 1.9876025466273728e-22, 7.5981746519992726e-23, -1.342630936690648e-23, -5.9321606104148457e-23, -6.8230739818425147e-23, -5.4112610946347796e-23, -3.1152727045440643e-23, -9.6986709712180762e-24, 4.9244668211384838e-24, 1.1668460900200278e-23, 1.2152861293725186e-23, 9.0260532060154358e-24, 4.7676985942186143e-24, 1.070895576952279e-24, -1.2811149484105006e-24, -2.2291772465913182e-24, -2.1327383824904409e-24, -1.483251350986979e-24, -7.0814676761301202e-25, -7.9870690620765804e-26, 2.913190347929477e-25, 4.1603374914455911e-25, 3.6903653706340084e-25, 2.3982243751930634e-25, 1.0105995030255744e-25, -4.2311881058776168e-27, -6.1515443542889664e-26, -7.6135682004678756e-26, -6.2980019440698675e-26, -3.8076820947731137e-26, -1.3608921596148831e-26, 3.780370622177738e-27, 1.2380054339405577e-26, 1.3696055062799978e-26, 1.0599818090925986e-26, 5.9186931468263175e-27, 1.6655180046274332e-27, -1.1615885304551525e-27, -2.4068627431604517e-27, -2.425811671821436e-27, -1.7585063048855937e-27, -8.9659492760678203e-28, -1.6745963801134992e-28, 2.8421001441619236e-28, 4.5560041523062811e-28, 4.2346565855454331e-28, 2.8729570661061235e-28, 1.3140562161625063e-28, 8.1245156124109241e-30, -6.260175855876599e-29, -8.4382601528829868e-29, -7.2898733839539439e-29, -4.6152340995011926e-29, -1.8404458720721016e-29, 2.1461405182216451e-30, 1.2957890673260179e-29, 1.5340757073797027e-29, 1.2377366708441194e-29, 7.2733215872732641e-30, 2.4067911352248773e-30, -9.6803086365113915e-31, -2.5715274833021319e-30, -2.7433806888506044e-30, -2.0722446438138107e-30, -1.1205404628111631e-30, -2.7896909464462074e-31, 2.6629287892686125e-31, 4.9466011181615511e-31, 4.8324953684968244e-31, 3.4188241692536249e-31, 1.6785364588860993e-31, 2.4315993189822721e-32, -6.2182699343805921e-32, -9.283881790462528e-32, -8.3920393175570658e-32, -5.5518846878130573e-32, -2.4234666843933021e-32, -9.1322099252883184e-35, 1.3340622634030515e-32, 1.7071498614492858e-32, 1.4373028314097974e-32, 8.8584556007274367e-33, 3.3210427066707126e-33, -6.8177282937285097e-34, -2.71397164155918e-33, -3.0840744029010751e-33, -2.4278256435949667e-33, -1.3850306566394228e-33}; + static constexpr double chirp_in[4096] = {1, 0.99999992642979929, 0.99999882287700514, 0.99999404081958787, 0.9999811660875062, 0.99995401897637071, 0.99990465453387189, 0.99982336314626385, 0.99969867158853654, 0.99951734473821929, 0.99926438818900221, 0.998923052036508, 0.99847483614453059, 0.99789949723582638, 0.99717505818699503, 0.99627781994202647, 0.99518237649358454, 0.9938616334148932, 0.99228683045801158, 0.99042756876612315, 0.98825184327798898, 0.98572608093165093, 0.98281518530153245, 0.97948258832792745, 0.9756903098201305, 0.97139902543374301, 0.96656814383854717, 0.96115589380530031, 0.95511942194735522, 0.94841490185561306, 0.94099765536237645, 0.93282228666059408, 0.92384282998911005, 0.91401291157120323, 0.90328592646221384, 0.89161523092170281, 0.87895435087564089, 0.86525720697385833, 0.85047835667664762, 0.83457325372130264, 0.81749852522376165, 0.79921226656174948, 0.77967435406322239, 0.75884677538693723, 0.73669397733007314, 0.7131832306305963, 0.68828501114913054, 0.66197339661628929, 0.6342264779166199, 0.60502678364962148, 0.57436171646195799, 0.54222399938345511, 0.50861213012343165, 0.4735308409942906, 0.43699156182725674, 0.39901288293222104, 0.35962101483159181, 0.31885024116901001, 0.27674336086026408, 0.2333521152185779, 0.18873759545291671, 0.14297062560971868, 0.096132115709591626, 0.048313379525507044, -0.00038358883718521143, -0.049845885660697295, -0.099949521968676278, -0.15055930804420456, -0.20152880479580074, -0.25270034875965974, -0.30390515757424702, -0.35496352274746379, -0.4056850964493664, -0.45586927889726703, -0.50530571264738766, -0.55377488976053313, -0.60104887736125978, -0.64689216655377857, -0.69106264898686465, -0.73331272456861973, -0.77339054291489417, -0.81104138006864557, -0.8460091508484886, -0.87803805587175265, -0.9068743608505454, -0.93226830418043516, -0.95397612713425417, -0.97176221914417393, -0.9854013687119787, -0.99468110844139446, -0.99940414055107041, 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0.96115589380530075, 0.91292030397297208, 0.84621360604462514, 0.7620849817471087, 0.66197339661628984, 0.54769160642970061, 0.42140110777252909, 0.2855780849582823, 0.14297062560971963, -0.0034522927617008812, -0.15055930804420603, -0.29512169978712482, -0.43388373911755923, -0.56363695259073099, -0.68129669877065169, -0.78397929272312616, -0.8690777846452038, -0.9343344109714895, -0.97790769530701704, -0.99843218742645046, -0.9950688952752843, -0.96754459005089155, -0.9161783491799238, -0.84189394582437793, -0.74621699410734765, -0.63125611230023981, -0.49966776553729064, -0.35460488704253801, -0.19964984230321187, -0.038732782291660182, 0.1239630836160234, 0.28410729153688535, 0.43733655464327453, 0.57937497068616117, 0.70615681024133081, 0.81394842128514178, 0.89946560517441376, 0.95998273974085324, 0.99342995728005579, 0.99847483614453048, 0.97458533851213081, 0.92207112396763224, 0.84210088492281143, 0.73669397733007302, 0.60868534583648282, 0.46166354924637748, 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-0.65126920047273773, 0.62618519753795332, -0.60104887736144608, 0.57593069136480424, -0.55089698145218191, 0.52601004251397765, -0.50132820166018488, 0.47690591218530526, -0.45279386036808306, 0.4290390833651167, -0.40568509645037554, 0.3827720280763382, -0.36033676125198227, 0.33841307983513402, -0.31703181849472845, 0.29622101515464083, -0.2760060647928777, 0.25640987367073959, -0.23745301300816751, 0.2191538713382635, -0.20152880479604404, 0.18459228461925636, -0.16835704134700888, 0.15283420512977428, -0.13803344170061341, 0.12396308361540023, -0.110630256377754, 0.098040999160336914, -0.086200379880266867, 0.075112604335562244, -0.064781119288953887, 0.055208709333225685, -0.046397587328288914, 0.038349478447046295, -0.03106569760236999, 0.024547220292490568, -0.018794746789342908, 0.013808759594209193, -0.0095895741816169593, 0.0061373830151254354, -0.0034522927602768901, 0.0015343547837478589, -0.00038358883724551112, -4.1594761818964385e-13}; + static constexpr double chirp[4096] = {0.53858507049011872, -0.10893037447855169, -0.31493160690386779, -0.27707052225506179, -0.14509754952609888, -0.01377620788556233, 0.072120111166508405, 0.10442260977622297, 0.095658365772628096, 0.065348025865408554, 0.030920206642928827, 0.0035000297316013507, -0.012538113997413336, -0.017864761270255602, -0.015803098220135037, -0.010240877291089245, -0.0043035410807142904, 0.00017459749928061541, 0.0025858563148002389, 0.0031719911883022478, 0.0025781100129627088, 0.0014926362717890829, 0.00043547846296410064, -0.00031240681665190007, -0.00068130496392615481, -0.00073830217218961991, -0.00060770886566896554, -0.0004108739527858285, -0.00023358737318546208, -0.00011791234873570478, -6.9866308462840365e-05, -7.375662733066779e-05, -0.00010620622425450144, -0.00014608802755983197, -0.00017941187929293445, -0.00020004316697891378, -0.0002079061409392402, -0.00020629261713006608, -0.00019942599763411728, -0.00019084781658168515, -0.00018271195261648776, 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0.0010208622911747067, 0.0010307811056759486, 0.0010344373830525333, 0.0010312892379080729, 0.0010208062110512728, 0.001002475793522084, 0.00097581046238093272, 0.00094035520181467991, 0.00089569547316159515, 0.00084146558666819971, 0.00077735741634799016, 0.00070312938726113661, 0.00061861565201504209, 0.00052373536039829194, 0.00041850191294023897, 0.00030303207600557158, 0.00017755482297787673, 4.2419753408740046e-05, -0.00010189507007590803, -0.00025477603847395836, -0.00041546784801305137, -0.00058306847636380166, -0.00075652547964943917, -0.00093463381062725004, -0.0011160353600045136, -0.0012992204213639613, -0.0014825312752510811, -0.0016641680793212515, -0.0018421972385584753, -0.0020145624122483389, -0.0021790982922874833, -0.0023335472602094842, -0.0024755789979803711, -0.0026028130898575197, -0.0027128446095441849, -0.0028032726384725204, -0.0028717316075404509, -0.0029159252962767113, -0.0029336632607195878, -0.0029228993947426618, -0.0028817722599926432, 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-0.4129773794541105, 0.3899215802294238, -0.36733234032645046, 0.34524440132038592, -0.32368950812688108, 0.30269656079782592, -0.28229176801283257, 0.26249880126398395, -0.24333894881627444, 0.22483126855181529, -0.20699273898377921, 0.18983840771704646, -0.17338153672523654, 0.15763374395230656, -0.1426051406922812, 0.12830446434961396, -0.11473920622069447, 0.10191573393412688, -0.089839408326879283, 0.078514694481579522, -0.067945266714565078, 0.058134107415996519, -0.049083599533534666, 0.04079561260770543, -0.033271582316284548, 0.026512583376123548, -0.020519395825360012, 0.015292564617205002, -0.010832452452127814, 0.0071392859195331167, -0.0042131948568462953, 0.0020542449380024901, -0.00066246352128629892, 3.7858693960993571e-05}; +}; + +struct case_tupw_hp_zeta_3_100Hz_1000Hz_z50 +{ + static constexpr int order = 3; + static constexpr double cutoff_hz = 100.0; + static constexpr double sample_rate_hz = 1000.0; + + static constexpr double b[4] = {0.52762438250194321, -1.5828731475058315, 1.5828731475058326, -0.52762438250194488}; + static constexpr double a[4] = {1, -1.7600418803431701, 1.1828932620378314, -0.27805991763454657}; + static constexpr double step[256] = {0.52762438250194321, -0.1266077547102642, -0.31933389511275601, -0.26556637690258533, -0.12487457433700611, 0.0055582406657376238, 0.083652664047773162, 0.10593477283927488, 0.089042988069846118, 0.054670312021773637, 0.02034990236053702, -0.0040931773799878224, -0.016074303540030033, -0.017791163310446723, -0.013437155742102358, -0.0070745291734256588, -0.0015037560453791121, 0.0019854048547568448, 0.0033060355883699488, 0.0030521047862061002, 0.0020132065357628681, 0.00085228961348493559, -3.2675026865658374e-05, -0.00050588501330606217, -0.00061474016121454422, -0.00049264607094035018, -0.00028057206756970654, -8.2005470086854437e-05, 5.0568620565072386e-05, 0.0001079907620423759, 0.00010744854908939505, 7.5433508065825272e-05, 3.569387104163102e-05, 3.4700541909904459e-06, -1.5139563808941325e-05, -2.0825935234003445e-05, -1.7781147207407422e-05, -1.0870411167984706e-05, -3.8900375257666653e-06, 1.067682836031203e-06, 3.4580400501971198e-06, 3.7416769648190851e-06, 2.7918956865269351e-06, 1.4493911945079319e-06, 2.8888499559176495e-07, -4.29711103033803e-07, -6.950120569060303e-07, -6.3462062149799436e-07, -4.1431922725987391e-07, -1.7178573064047242e-07, 1.1282783485278003e-08, 1.0785678405955679e-07, 1.2871940169301155e-07, 1.0210576395497384e-07, 5.7439755729582487e-08, 1.6107861378067412e-08, -1.1203069694154522e-08, -2.2800059285010832e-08, -2.2398073507012839e-08, -1.556663586921303e-08, -7.2431839415187937e-09, -5.6264537473538212e-10, 3.2491761503550265e-09, 4.3701958718500578e-09, 3.6918496038040871e-09, 2.2317997450116422e-09, 7.7617257066009415e-10, -2.4733004533317171e-10, -7.328672113615653e-10, -7.814900948588388e-10, -5.7732474356697594e-10, -2.9547775337590565e-10, -5.4441229302426564e-11, 9.3168250892006199e-11, 1.4621692745464543e-10, 1.3200140980274e-10, 8.5274787231526261e-11, 3.4600211584745466e-11, -3.2694957852186235e-12, -2.2971957669426502e-11, -2.6943669517720537e-11, -2.1158519381003771e-11, -1.1756706719268095e-11, -3.1564750813117826e-12, 2.4674706722294104e-12, 4.8069326297195403e-12, 4.663269770333045e-12, 3.2071012512346897e-12, 1.464495191783044e-12, 8.0047080075473787e-14, -7.0043970623601126e-13, -9.2092999892656735e-13, -7.7082784599724619e-13, -4.6262993436130273e-13, -1.5909495942878493e-13, 5.2291504459844873e-14, 1.5087930904655877e-13, 1.5909495942878493e-13, 1.1535217225855376e-13, 5.6066262743570405e-14, 5.8841820305133297e-15, -2.4313884239290928e-14, -3.47499806707674e-14, -3.1197266991966899e-14, -2.0983215165415459e-14, -1.0103029524088925e-14, -2.1094237467877974e-15, 1.6653345369377348e-15, 2.1094237467877974e-15, 7.7715611723760958e-16, -1.2212453270876722e-15, -2.9976021664879227e-15, -4.3298697960381105e-15, -4.7739590058881731e-15, -4.7739590058881731e-15, -4.5519144009631418e-15, -4.3298697960381105e-15, -4.1078251911130792e-15, -4.1078251911130792e-15, -4.1078251911130792e-15, -4.1078251911130792e-15, -4.1078251911130792e-15, -4.1078251911130792e-15, -4.1078251911130792e-15, -4.1078251911130792e-15, -4.1078251911130792e-15, -4.1078251911130792e-15, -4.1078251911130792e-15, -4.1078251911130792e-15, -4.1078251911130792e-15, -4.1078251911130792e-15, -4.1078251911130792e-15, -4.1078251911130792e-15, -4.1078251911130792e-15, -4.1078251911130792e-15, -4.1078251911130792e-15, -4.1078251911130792e-15, -4.1078251911130792e-15, -4.1078251911130792e-15, -4.1078251911130792e-15, -4.1078251911130792e-15, -4.1078251911130792e-15, -4.1078251911130792e-15, -4.1078251911130792e-15, -4.1078251911130792e-15, -4.1078251911130792e-15, -4.1078251911130792e-15, -4.1078251911130792e-15, -4.1078251911130792e-15, -4.1078251911130792e-15, -4.1078251911130792e-15, -4.1078251911130792e-15, -4.1078251911130792e-15, -4.1078251911130792e-15, -4.1078251911130792e-15, -4.1078251911130792e-15, -4.1078251911130792e-15, -4.1078251911130792e-15, -4.1078251911130792e-15, -4.1078251911130792e-15, -4.1078251911130792e-15, -4.1078251911130792e-15, -4.1078251911130792e-15, -4.1078251911130792e-15, -4.1078251911130792e-15, -4.1078251911130792e-15, -4.1078251911130792e-15, -4.1078251911130792e-15, -4.1078251911130792e-15, -4.1078251911130792e-15, -4.1078251911130792e-15, -4.1078251911130792e-15, -4.1078251911130792e-15, -4.1078251911130792e-15, -4.1078251911130792e-15, -4.1078251911130792e-15, -4.1078251911130792e-15, -4.1078251911130792e-15, -4.1078251911130792e-15, -4.1078251911130792e-15, -4.1078251911130792e-15, -4.1078251911130792e-15, -4.1078251911130792e-15, -4.1078251911130792e-15, -4.1078251911130792e-15, -4.1078251911130792e-15, -4.1078251911130792e-15, -4.1078251911130792e-15, -4.1078251911130792e-15, -4.1078251911130792e-15, -4.1078251911130792e-15, -4.1078251911130792e-15, -4.1078251911130792e-15, -4.1078251911130792e-15, -4.1078251911130792e-15, -4.1078251911130792e-15, -4.1078251911130792e-15, -4.1078251911130792e-15, -4.1078251911130792e-15, -4.1078251911130792e-15, -4.1078251911130792e-15, -4.1078251911130792e-15, -4.1078251911130792e-15, -4.1078251911130792e-15, -4.1078251911130792e-15, -4.1078251911130792e-15, -4.1078251911130792e-15, -4.1078251911130792e-15, -4.1078251911130792e-15, -4.1078251911130792e-15, -4.1078251911130792e-15, -4.1078251911130792e-15, -4.1078251911130792e-15, -4.1078251911130792e-15, -4.1078251911130792e-15, -4.1078251911130792e-15, -4.1078251911130792e-15, -4.1078251911130792e-15, -4.1078251911130792e-15, -4.1078251911130792e-15, -4.1078251911130792e-15, -4.1078251911130792e-15, -4.1078251911130792e-15, -4.1078251911130792e-15, -4.1078251911130792e-15, -4.1078251911130792e-15, -4.1078251911130792e-15, -4.1078251911130792e-15, -4.1078251911130792e-15, -4.1078251911130792e-15, -4.1078251911130792e-15, -4.1078251911130792e-15, -4.1078251911130792e-15, -4.1078251911130792e-15, -4.1078251911130792e-15, -4.1078251911130792e-15, -4.1078251911130792e-15, -4.1078251911130792e-15, -4.1078251911130792e-15, -4.1078251911130792e-15, -4.1078251911130792e-15, -4.1078251911130792e-15, -4.1078251911130792e-15, -4.1078251911130792e-15, -4.1078251911130792e-15, -4.1078251911130792e-15, -4.1078251911130792e-15, -4.1078251911130792e-15, -4.1078251911130792e-15, -4.1078251911130792e-15, -4.1078251911130792e-15, -4.1078251911130792e-15, -4.1078251911130792e-15, -4.1078251911130792e-15, -4.1078251911130792e-15, -4.1078251911130792e-15}; + static constexpr double impulse[256] = {0.52762438250194321, -0.65423213721220741, -0.19272614040249181, 0.053767518210170562, 0.14069180256557906, 0.13043281500274373, 0.078094423382035594, 0.022282108791501831, -0.016891784769428639, -0.034372676048072523, -0.034320409661236798, -0.024443079740524787, -0.011981126160042189, -0.0017168597704166066, 0.004354007568344539, 0.0063626265686766957, 0.0055707731280465588, 0.003489160900135793, 0.0013206307336128004, -0.00025393080216425936, -0.0010388982504434534, -0.0011609169222777354, -0.00088496464035012689, -0.00047320998644000589, -0.00010885514790823453, 0.00012209409027421115, 0.00021207400337044057, 0.0001985665974825508, 0.00013257409065156367, 5.7422141476889699e-05, -5.4221295324060855e-07, -3.2015041023515244e-05, -3.9739637023850316e-05, -3.2223816850150108e-05, -1.8609617999495725e-05, -5.6863714247954605e-06, 3.0447880266513163e-06, 6.9107360393586098e-06, 6.980373642190668e-06, 4.9577203619251747e-06, 2.3903572140627355e-06, 2.8363691454768726e-07, -9.497812784710571e-07, -1.3425044922991704e-06, -1.1605061991850474e-06, -7.1859609882984434e-07, -2.6530095397533598e-07, 6.0391435381132365e-08, 2.2030139430133203e-07, 2.4253349686045542e-07, 1.8306851447180484e-07, 9.6574000742084164e-08, 2.0862617759024139e-08, -2.6613637720865387e-08, -4.4666008260641739e-08, -4.1331894652440642e-08, -2.7310931281207699e-08, -1.1596989732488411e-08, 4.0198575469208655e-10, 6.8314374754665085e-09, 8.323451809282e-09, 6.680538539432329e-09, 3.8118214923049876e-09, 1.1210197662944913e-09, -6.7834622593877625e-10, -1.4600497249980357e-09, -1.4556268195057556e-09, -1.023502078252735e-09, -4.8553667178346552e-10, -4.8622638272865138e-11, 2.0416527425417335e-10, 2.8184653742990693e-10, 2.4103597565565027e-10, 1.4760922111174094e-10, 5.3048804553057864e-11, -1.4215391814436809e-11, -4.6726550539439983e-11, -5.0674648454226639e-11, -3.786971243679752e-11, -1.9702360467018897e-11, -3.9717404621146951e-12, 5.785310770481913e-12, 9.4020975493816553e-12, 8.6002984950242428e-12, 5.6238707308394944e-12, 2.3393593448084176e-12, -1.4367008288788323e-13, -1.4563047370895949e-12, -1.7427288880803075e-12, -1.3845716595425225e-12, -7.8038182310813999e-13, -2.2028725552644869e-13, 1.5039972332748911e-13, 3.0829321666650201e-13, 3.0344909729468891e-13, 2.1122528574490758e-13, 9.8541442970717686e-14, 7.9571302982831491e-15, -4.3825840792658733e-14, -5.9147325535300577e-14, -5.0047919280293312e-14, -3.030767079515685e-14, -1.05879238661068e-14, 3.2992298285600707e-15, 9.9038180263341567e-15, 1.0584420529397309e-14, 7.8312473734906567e-15, 4.0169384505420488e-15, 7.4955325287486466e-16, -1.2548083109110885e-15, -1.9782070966696407e-15, -1.7890023262477473e-15, -1.1576230682405336e-15, -4.71326386630268e-16, 4.2340508136738172e-17, 3.1016129951443793e-16, 3.6475559877546614e-16, 2.8687061679905025e-16, 1.5968078512054033e-16, 4.3131461362242143e-17, -3.3204926359133029e-17, -6.5061150094589112e-17, -6.3239334699246326e-17, -4.3576440576872814e-17, -1.9981875536598251e-17, -1.2069840479787343e-18, 9.3952219841599773e-18, 1.2407558799093338e-17, 1.0388664453844961e-17, 6.2201014688876292e-18, 2.1090026789228512e-18, -7.5711189370956487e-19, -2.0977127974349215e-18, -2.2100507075472174e-18, -1.6189339399938761e-18, -8.1842729285434174e-19, -1.3996677984516152e-19, 2.7160409779053823e-19, 4.1602852213120014e-19, 3.7202981387457747e-19, 2.3819293057181985e-19, 9.4838829896073389e-20, -1.138992073505892e-20, -6.599904371517852e-20, -7.6317143279208764e-20, -5.9418624669387276e-20, -3.2655921986963021e-20, -8.4106381516218703e-21, 7.3034568152172064e-21, 1.3722974087076747e-20, 1.3175137908120491e-20, 8.9867795153528873e-21, 4.0481355028498164e-21, 1.5796484774497161e-22, -2.01162429064514e-21, -2.6017743285915228e-21, -2.1557712698139241e-21, -1.2759784812476085e-21, -4.1917741136666926e-22, 1.721429669505047e-22, 4.4402249534434794e-22, 4.6131499542870101e-22, 3.3456855326040216e-22, 1.6663312429784409e-22, 2.5795599707645479e-23, -5.8677759787511299e-23, -8.7454762937689439e-23, -7.7341796391653939e-23, -4.8991083991671618e-23, -1.9056933942365302e-23, 2.9045677698104457e-24, 1.4032022895133944e-23, 1.5962184834947842e-23, 1.2303372350709761e-23, 6.6746328485101337e-24, 1.6325008957679404e-24, -1.6010335743641862e-24, -2.8930125924935431e-24, -2.7440384311215067e-24, -1.8526807212116575e-24, -8.1932193247487417e-25, -1.3524472954494188e-26, 4.302105058116396e-25, 5.4536592646244747e-25, 4.4721314826780804e-25, 2.6162848844551437e-25, 8.3116081567104931e-26, -3.8838740478784934e-26, -9.3926866727145609e-26, -9.6261883916141579e-26, -6.9118986375836338e-26, -3.3902073698690322e-26, -4.6752577903827875e-27, 1.2654665376167988e-26, 1.8376264162019835e-26, 1.6073874326477536e-26, 1.0072288147482807e-26, 3.8236738341426066e-27, -7.1511552680919695e-28, -2.9809316784250166e-27, -3.3374488268453911e-27, -2.5467706762297435e-27, -1.3634549370998371e-27, -3.1519066429082441e-28, 3.4991804427605601e-28, 6.0958515815208204e-28, 5.7133782099179235e-28, 3.8180249912344175e-28, 1.6565792854538609e-28, -1.2005641450693352e-30, -9.1904719195913907e-29, -1.1427318558130095e-28, -9.2745948104284414e-29, -5.3618790289797209e-29, -1.6437551960086157e-29, 8.705595201536754e-30, 1.9856845194356854e-29, 2.0080464903497239e-29, 1.427460790588231e-29, 6.8922538461213538e-30, 8.2889032615957503e-31, -2.7247226480040334e-30, -3.8596552178202522e-30, -3.3396175899828311e-30, -2.0699428268327586e-30, -7.659903321327207e-31, 1.7173256617093951e-31, 6.3277317940823689e-31, 6.9757479245864568e-31, 5.2700966228331292e-31, 2.78351413344975e-31, 6.0481555731091838e-32, -7.6269676962338941e-32, -1.2838267933767195e-31, -1.1892250896342101e-31, -7.8653130034372817e-32, -3.3458245565444556e-32, 1.0827610705939587e-33, 1.9612955210565104e-32, 2.3935434786962975e-32, 1.9228407536157654e-32, 1.0983314732919064e-32, 3.2414252260993499e-33, -1.9403954267276271e-33, -4.1954176848295792e-33, -4.1875197234795827e-33, -2.9470249698021849e-33, -1.4000759996006229e-33, -1.4255780452794813e-34, 5.8578323955934696e-34, 8.1032868372350812e-34, 6.9365376172208177e-34, 4.2521017041949315e-34, 1.531892740109878e-34, -4.0481399809136871e-35, -1.3422161411884568e-34}; + static constexpr double chirp_in[4096] = {1, 0.99999992642979929, 0.99999882287700514, 0.99999404081958787, 0.9999811660875062, 0.99995401897637071, 0.99990465453387189, 0.99982336314626385, 0.99969867158853654, 0.99951734473821929, 0.99926438818900221, 0.998923052036508, 0.99847483614453059, 0.99789949723582638, 0.99717505818699503, 0.99627781994202647, 0.99518237649358454, 0.9938616334148932, 0.99228683045801158, 0.99042756876612315, 0.98825184327798898, 0.98572608093165093, 0.98281518530153245, 0.97948258832792745, 0.9756903098201305, 0.97139902543374301, 0.96656814383854717, 0.96115589380530031, 0.95511942194735522, 0.94841490185561306, 0.94099765536237645, 0.93282228666059408, 0.92384282998911005, 0.91401291157120323, 0.90328592646221384, 0.89161523092170281, 0.87895435087564089, 0.86525720697385833, 0.85047835667664762, 0.83457325372130264, 0.81749852522376165, 0.79921226656174948, 0.77967435406322239, 0.75884677538693723, 0.73669397733007314, 0.7131832306305963, 0.68828501114913054, 0.66197339661628929, 0.6342264779166199, 0.60502678364962148, 0.57436171646195799, 0.54222399938345511, 0.50861213012343165, 0.4735308409942906, 0.43699156182725674, 0.39901288293222104, 0.35962101483159181, 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-0.36033676125198227, 0.33841307983513402, -0.31703181849472845, 0.29622101515464083, -0.2760060647928777, 0.25640987367073959, -0.23745301300816751, 0.2191538713382635, -0.20152880479604404, 0.18459228461925636, -0.16835704134700888, 0.15283420512977428, -0.13803344170061341, 0.12396308361540023, -0.110630256377754, 0.098040999160336914, -0.086200379880266867, 0.075112604335562244, -0.064781119288953887, 0.055208709333225685, -0.046397587328288914, 0.038349478447046295, -0.03106569760236999, 0.024547220292490568, -0.018794746789342908, 0.013808759594209193, -0.0095895741816169593, 0.0061373830151254354, -0.0034522927602768901, 0.0015343547837478589, -0.00038358883724551112, -4.1594761818964385e-13}; + static constexpr double chirp[4096] = {0.52762438250194321, -0.12660779352769591, -0.31933446805955967, -0.26556873682087712, -0.12488038997443429, 0.0055473765554960863, 0.083635573887841486, 0.10591080440023493, 0.089011944021499478, 0.054632290039806186, 0.020305127798960765, 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-0.20718108766461157, 0.19001931869725783, -0.17355487644525941, 0.15779939579902022, -0.14276300354482824, 0.12845445117598997, -0.11488124273031033, 0.10204975728962343, -0.089965365916346712, 0.078632542755819393, -0.068054970089823752, 0.058235637243266913, -0.049176933138068098, 0.040880732397362972, -0.03334847496037923, 0.026581239056897864, -0.020579807559448778, 0.015344727650596026, -0.010876363727655113, 0.0071749436155457546, -0.0042405980005400298, 0.0020733930902620771, -0.00067335653453599398, 4.049654377379042e-05}; +}; + +struct case_hp_zeta_4_100Hz_1000Hz_z50 +{ + static constexpr int order = 4; + static constexpr double cutoff_hz = 100.0; + static constexpr double sample_rate_hz = 1000.0; + + static constexpr double b[5] = {1, -3.5003439511230736, 4.7165379473206341, -2.883330689139088, 0.667136692941528}; + static constexpr double a[5] = {1, -2.4996510315745528, 2.629040002095139, -1.3335340572286163, 0.28460954333602961}; + static constexpr double step[256] = {1, 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4.8849813083506888e-15, 5.3290705182007514e-15, 5.773159728050814e-15, 5.773159728050814e-15, 5.3290705182007514e-15, 4.8849813083506888e-15, 4.4408920985006262e-15, 4.4408920985006262e-15, 4.8849813083506888e-15, 5.3290705182007514e-15, 5.773159728050814e-15, 5.773159728050814e-15, 5.3290705182007514e-15, 4.8849813083506888e-15, 4.4408920985006262e-15, 4.4408920985006262e-15, 4.8849813083506888e-15, 5.3290705182007514e-15, 5.773159728050814e-15, 5.773159728050814e-15, 5.3290705182007514e-15, 4.8849813083506888e-15, 4.4408920985006262e-15, 4.4408920985006262e-15, 4.8849813083506888e-15, 5.3290705182007514e-15, 5.773159728050814e-15, 5.773159728050814e-15, 5.3290705182007514e-15, 4.8849813083506888e-15, 4.4408920985006262e-15, 4.4408920985006262e-15, 4.8849813083506888e-15, 5.3290705182007514e-15, 5.773159728050814e-15, 5.773159728050814e-15, 5.3290705182007514e-15, 4.8849813083506888e-15, 4.4408920985006262e-15, 4.4408920985006262e-15, 4.8849813083506888e-15, 5.3290705182007514e-15, 5.773159728050814e-15, 5.773159728050814e-15, 5.3290705182007514e-15, 4.8849813083506888e-15, 4.4408920985006262e-15, 4.4408920985006262e-15, 4.8849813083506888e-15, 5.3290705182007514e-15, 5.773159728050814e-15, 5.773159728050814e-15, 5.3290705182007514e-15, 4.8849813083506888e-15, 4.4408920985006262e-15, 4.4408920985006262e-15, 4.8849813083506888e-15, 5.3290705182007514e-15, 5.773159728050814e-15, 5.773159728050814e-15, 5.3290705182007514e-15, 4.8849813083506888e-15, 4.4408920985006262e-15, 4.4408920985006262e-15, 4.8849813083506888e-15, 5.3290705182007514e-15, 5.773159728050814e-15, 5.773159728050814e-15, 5.3290705182007514e-15, 4.8849813083506888e-15, 4.4408920985006262e-15, 4.4408920985006262e-15, 4.8849813083506888e-15, 5.3290705182007514e-15, 5.773159728050814e-15, 5.773159728050814e-15, 5.3290705182007514e-15, 4.8849813083506888e-15, 4.4408920985006262e-15, 4.4408920985006262e-15, 4.8849813083506888e-15, 5.3290705182007514e-15, 5.773159728050814e-15, 5.773159728050814e-15, 5.3290705182007514e-15, 4.8849813083506888e-15, 4.4408920985006262e-15, 4.4408920985006262e-15, 4.8849813083506888e-15}; + static constexpr double impulse[256] = {1, -1.0006929195485208, -0.41388514341331595, 0.046496657709485412, 0.25241507727478524, 0.2415848555426206, 0.12006903634588617, -0.011634848973197554, -0.09442746910198252, -0.11408844340789903, -0.086615962649245121, -0.039177455823225599, 0.0045209968007108442, 0.031265336542047828, 0.038673807260813806, 0.03165238278368325, 0.01785159720969072, 0.0040818088300371008, -0.0055268697019620252, -0.0097493416014715964, -0.0094770940981832273, -0.006590009699026865, -0.0029851442536803548, 3.0811735976087745e-07, 0.0017581028931435475, 0.002288621780593312, 0.0019486443886954832, 0.0011984551365066347, 0.00042423779750701838, -0.00014311998851168758, -0.00042951021596763714, -0.00047271369728929557, -0.00036401724674602748, -0.00019916605297567872, -4.8966834856470202e-05, 5.0324954630314605e-05, 9.253866004521453e-05, 9.039365564548235e-05, 6.3711225017992941e-05, 3.0687785136372637e-05, 3.4150272023339526e-06, -1.2908847094540665e-05, -1.8455472116968728e-05, -1.6374345955881983e-05, -1.0596312879579797e-05, -4.3752934278089176e-06, 3.3827919911630635e-07, 2.8781524106047389e-06, 3.4862360691946143e-06, 2.8439528643917615e-06, 1.6852724016222032e-06, 5.6559193921620073e-07, -2.1657413777547249e-07, -5.9037158269784496e-07, -6.3174935925571653e-07, -4.7682428272063935e-07, -2.5664151889805562e-07, -6.2358023865153641e-08, 6.2787997018981779e-08, 1.1435835611930231e-07, 1.1066990395743407e-07, 7.7461067885549269e-08, 3.7300733170070169e-08, 4.6251765966215728e-09, -1.4704530852321684e-08, -2.122033111843977e-08, -1.8832936869106877e-08, -1.2212032790511856e-08, -5.1262604178686722e-09, 2.1720660797596422e-10, 3.0949563492782203e-09, 3.8048841923246344e-09, 3.122753695117426e-09, 1.8680123742854474e-09, 6.5262321828520376e-10, -1.983569032374424e-10, -6.0930296764941166e-10, -6.6291541899330619e-10, -5.0543381766788342e-10, -2.7664900007012647e-10, -7.3327082262399064e-11, 5.8688016039321786e-11, 1.1440981687980951e-10, 1.1264425903510781e-10, 7.9915408625139324e-11, 3.9480588445132673e-11, 6.2397176140532827e-12, -1.3688641782249377e-11, -2.071727342428e-11, -1.8713643368706661e-11, -1.234119057884489e-11, -5.381024357653744e-12, -6.4146419822886007e-14, 2.8552681737202223e-12, 3.6424589107272481e-12, 3.0442113778764717e-12, 1.8591499641793929e-12, 6.8857907702862991e-13, -1.436912429073068e-13, -5.5665171702268274e-13, -6.2455318511498406e-13, -4.8529872496453244e-13, -2.7252027501548388e-13, -7.9770377592309608e-14, 4.7660016894778362e-14, 1.0355850454356548e-13, 1.0474538753837372e-13, 7.5827131446355382e-14, 3.8695850548577891e-14, 7.5813638581378417e-15, -1.147564968675623e-14, -1.8595719104442172e-14, -1.7216067814337865e-14, -1.1606170470107068e-14, -5.2815903531548881e-15, -3.5473997722759561e-16, 2.4214197658982829e-15, 3.2453762712914491e-15, 2.7764318953767029e-15, 1.7378949198929628e-15, 6.8344092573206031e-16, -8.1830017275328852e-17, -4.739969701994455e-16, -5.5292235568246693e-16, -4.3959286594608265e-16, -2.5397526862928496e-16, -8.1579044090237494e-17, 3.4946920151454533e-17, 8.8257329672607259e-17, 9.2231025704689086e-17, 6.833441106004842e-17, 3.6081053019566294e-17, 8.4104768203279067e-18, -8.958840324179632e-18, -1.5838766959057171e-17, -1.5091595328967698e-17, -1.0423590565574109e-17, -4.9506948055847587e-18, -5.8826493330256882e-19, 1.9401166716677327e-18, 2.7609199017892335e-18, 2.4252356066372569e-18, 1.5583112922514732e-18, 6.4879800321010862e-19, -2.6743999219337311e-20, -3.8475058746190485e-19, -4.6974719080489566e-19, -3.829975020041921e-19, -2.2784235999173983e-19, -7.9530824948194481e-20, 2.3161690668604317e-20, 7.2155061577142274e-20, 7.8258509182662315e-20, 5.94425550672049e-20, 3.2470086758082246e-20, 8.7113988998957705e-21, -6.5941466417468055e-21, -1.3003633556763238e-20, -1.2792620178731163e-20, -9.0628798208359475e-21, -4.4857578629613751e-21, -7.4459216761510939e-22, 1.4872591710420564e-21, 2.2726627193982293e-21, 2.054550339445404e-21, 1.3559664681549898e-21, 5.953329356027498e-22, 1.6225851546898899e-23, -3.0111230383273764e-22, -3.8735834594455044e-22, -3.2442410641948646e-22, -1.9872801005601891e-22, -7.4682833300592562e-23, 1.3398153723634392e-23, 5.715849223381526e-23, 6.4619788475301454e-23, 5.0377299755445356e-23, 2.8447214113946e-23, 8.5690081810253628e-24, -4.5808972677837808e-24, -1.0381441290826976e-23, -1.0575902641438888e-23, -7.6904455390179605e-24, -3.9591974672516582e-24, -8.267921705514055e-25, 1.0967283951856809e-24, 1.8241574852188453e-24, 1.7006841827563576e-24, 1.1531715816520689e-24, 5.317965508324915e-25, 4.6319228888100362e-26, -2.2856986749483515e-25, -3.1215483587358602e-25, -2.6894493683814915e-25, -1.6958953578724622e-25, -6.8063599924349078e-26, 5.9174382530822636e-27, 4.4124331455468078e-26, 5.2239920541191851e-26, 4.1839594342340294e-26, 2.4400683698808531e-26, 8.1007343444527574e-27, -2.9748204950142368e-27, -8.1019728641376014e-27, -8.573245054901214e-27, -6.4022808364225376e-27, -3.4216581425708652e-27, -8.4791434686523685e-28, 7.7855397915654573e-28, 1.4345665532455882e-27, 1.3821801119413308e-27, 9.6298785013107598e-28, 4.64786232223677e-28, 6.4962726206823381e-29, -1.6876200698295425e-28, -2.4690299295113495e-28, -2.1914184329194062e-28, -1.4219918525791103e-28, -6.0537940163746997e-29, 5.6145840713896834e-31, 3.3302519915073172e-29, 4.1510421864048581e-29, 3.4186311218411586e-29, 2.0571536595829165e-29, 7.4218292562283284e-30, -1.7570613681418356e-30, -6.2012320289123081e-30, -6.8391249712660612e-30, -5.2475633335994092e-30, -2.9062216450295679e-30, -8.2376227037836883e-31, 5.3013056288511559e-31, 1.1088064319271391e-30, 1.1065180578406184e-30, 7.9221030459525998e-31, 3.9891999043970217e-31, 7.44108075954923e-32, -1.2126173800487333e-31, -1.9223823790745582e-31, -1.7603363990723601e-31, -1.1750533563221275e-31, -5.2766841871549276e-32, -3.0064798121004876e-33, 2.461447459494927e-32, 3.2508511690157248e-32, 2.7556199987118628e-32, 1.70946191015992e-32, 6.629923314532555e-33, -8.7504428229667272e-34, -4.6641396747223237e-33, -5.3822583268311967e-33, -4.2453985975881197e-33, -2.4325856913875946e-33, -7.692587157262596e-34, 3.4294521699099228e-34, 8.4400039057635986e-34}; + static constexpr double chirp_in[4096] = {1, 0.99999992642979929, 0.99999882287700514, 0.99999404081958787, 0.9999811660875062, 0.99995401897637071, 0.99990465453387189, 0.99982336314626385, 0.99969867158853654, 0.99951734473821929, 0.99926438818900221, 0.998923052036508, 0.99847483614453059, 0.99789949723582638, 0.99717505818699503, 0.99627781994202647, 0.99518237649358454, 0.9938616334148932, 0.99228683045801158, 0.99042756876612315, 0.98825184327798898, 0.98572608093165093, 0.98281518530153245, 0.97948258832792745, 0.9756903098201305, 0.97139902543374301, 0.96656814383854717, 0.96115589380530031, 0.95511942194735522, 0.94841490185561306, 0.94099765536237645, 0.93282228666059408, 0.92384282998911005, 0.91401291157120323, 0.90328592646221384, 0.89161523092170281, 0.87895435087564089, 0.86525720697385833, 0.85047835667664762, 0.83457325372130264, 0.81749852522376165, 0.79921226656174948, 0.77967435406322239, 0.75884677538693723, 0.73669397733007314, 0.7131832306305963, 0.68828501114913054, 0.66197339661628929, 0.6342264779166199, 0.60502678364962148, 0.57436171646195799, 0.54222399938345511, 0.50861213012343165, 0.4735308409942906, 0.43699156182725674, 0.39901288293222104, 0.35962101483159181, 0.31885024116901001, 0.27674336086026408, 0.2333521152185779, 0.18873759545291671, 0.14297062560971868, 0.096132115709591626, 0.048313379525507044, -0.00038358883718521143, -0.049845885660697295, -0.099949521968676278, -0.15055930804420456, -0.20152880479580074, -0.25270034875965974, -0.30390515757424702, -0.35496352274746379, -0.4056850964493664, -0.45586927889726703, -0.50530571264738766, -0.55377488976053313, -0.60104887736125978, -0.64689216655377857, -0.69106264898686465, -0.73331272456861973, -0.77339054291489417, -0.81104138006864557, -0.8460091508484886, -0.87803805587175265, -0.9068743608505454, -0.93226830418043516, -0.95397612713425417, -0.97176221914417393, -0.9854013687119787, -0.99468110844139446, -0.99940414055107041, -0.99939082701909576, -0.99448172624942033, -0.98454015586016352, -0.96945475889963473, -0.94914204852736517, -0.92354890398720091, -0.89265498858333392, -0.85647505838693705, -0.81506112859245528, -0.7685044628528731, -0.71693734959881206, -0.66053462833527321, -0.59951492826162256, -0.53414158132492895, -0.46472317204376912, -0.39161368717798556, -0.3152122296164856, -0.23596226275400647, -0.15435035416899404, -0.070904390633105427, 0.013808759593039822, 0.09918615657250443, 0.18459228461860086, 0.2693631422116452, 0.35281092692297711, 0.43422930879702298, 0.51289927740590668, 0.5880955389371294, 0.65909343027171097, 0.72517630714337644, 0.78564335324217838, 0.83981774665942033, 0.88705510950404776, 0.92675215601078931, 0.9583554441811033, 0.98137012613941343, 0.99536858315359633, 0.99999882287700514, 0.99499250904629088, 0.98017248784854372, 0.95545967068985072, 0.92087913039150604, 0.87656526714078131, 0.82276590205092281, 0.7598451601445787, 0.68828501114912999, 0.60868534583648182, 0.52176247787447139, 0.42834597636238814, 0.32937375243207906, 0.22588534448833064, 0.11901337075840943, 0.0099731446764950698, -0.099949521968675376, -0.20941227153109016, -0.31703181849493733, -0.42140110777252832, -0.52110785216033795, -0.61475425146856222, -0.70097765980614957, -0.77847193249159985, -0.84600915084848771, -0.90246139255836488, -0.94682218813969621, -0.97822728137500836, -0.99597429399523896, -0.99954088350734849, -0.98860097853545059, -0.9630386791909602, -0.92295942146047771, -0.86869802495628545, -0.80082327303127221, -0.72013871347380276, -0.6276794168385581, -0.52470448779900736, -0.41268519236054085, -0.29328863974147795, -0.16835704134703858, -0.039882659401103367, 0.09002134692995295, 0.21915387133951877, 0.34526219919889106, 0.46608122869670787, 0.57937497068616284, 0.68297963205683976, 0.7748475038260193, 0.85309080213204103, 0.91602455057213206, 0.96220754845479073, 0.99048044398756308, 0.99999992642979929, 0.99026806874157036, 0.96115589380530075, 0.91292030397297208, 0.84621360604462514, 0.7620849817471087, 0.66197339661628984, 0.54769160642970061, 0.42140110777252909, 0.2855780849582823, 0.14297062560971963, -0.0034522927617008812, -0.15055930804420603, -0.29512169978712482, -0.43388373911755923, -0.56363695259073099, -0.68129669877065169, -0.78397929272312616, -0.8690777846452038, -0.9343344109714895, -0.97790769530701704, -0.99843218742645046, -0.9950688952752843, -0.96754459005089155, -0.9161783491799238, -0.84189394582437793, -0.74621699410734765, -0.63125611230023981, -0.49966776553729064, -0.35460488704253801, -0.19964984230321187, -0.038732782291660182, 0.1239630836160234, 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0.098040999160336914, -0.086200379880266867, 0.075112604335562244, -0.064781119288953887, 0.055208709333225685, -0.046397587328288914, 0.038349478447046295, -0.03106569760236999, 0.024547220292490568, -0.018794746789342908, 0.013808759594209193, -0.0095895741816169593, 0.0061373830151254354, -0.0034522927602768901, 0.0015343547837478589, -0.00038358883724551112, -4.1594761818964385e-13}; + static constexpr double chirp[4096] = {1, -0.00069299311872150771, -0.41457916646365223, -0.36808615604450334, -0.11567871480746406, 0.12589378661803097, 0.24594543442715411, 0.23428784736987129, 0.13983166668990443, 0.025707507335913427, -0.060952527441324955, -0.10018390761347185, -0.09572815448097427, -0.064540708107966305, -0.025958591317413959, 0.0055872929554442452, 0.02331666455923731, 0.027259631977864962, 0.021576405989268355, 0.011652266964276792, 0.0019809846161249478, -0.0048235609594046158, -0.008044532235236157, -0.0083022542459685322, -0.0068252517926318257, -0.0048416152711605598, 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-1.3599111392828975, 1.4110347276175816, -1.4569302135299025, 1.4976372991294098, -1.5332188265064977, 1.5637588460809133, -1.5893606930294371, 1.610145085781753, -1.6262482591938232, 1.6378201434472071, -1.6450225983093461, 1.648027711072896, -1.6470161651133535, 1.6421756848174298, -1.6336995614573036, 1.621785263481613, -1.6066331337171142, 1.5884451750276962, -1.5674239251386872, 1.5437714205721451, -1.5176882489571857, 1.4893726883591807, -1.459019931736683, 1.4268213942030203, -1.392964100322444, 1.3576301483702296, -1.3209962482232724, 1.2832333292876394, -1.2445062147645853, 1.2049733583844664, -1.1647866396672621, 1.1240912138025065, -1.0830254121425869, 1.0417206893731998, -1.000301613531692, 0.95888589503862864, -0.91758445106991038, 0.87650150169757535, -0.8357346943419538, 0.79537525328131498, -0.75550815103215663, 0.71621229864060676, -0.67756075208231481, 0.63962093207701565, -0.60245485490345341, 0.56611937185098504, -0.53066641514141155, 0.49614324842196711, -0.46259271990832018, 0.43005351653809981, -0.39856041764155264, 0.3681445466597163, -0.33883361975356907, 0.31065219011558309, -0.28362188695661206, 0.25776164836852899, -0.23308794716807338, 0.20961500906957534, -0.18735502261319667, 0.16631834024477427, -0.14651367019343187, 0.12794825869866863, -0.11062806223636176, 0.094557909605381907, -0.079741653507623744, 0.066182311495253013, -0.05388219620873036, 0.042843034657084347, -0.033066076583566639, 0.024552191804507122, -0.017301956397453237, 0.011315727863948157, -0.0065937091150540849, 0.0031360012871490739, -0.00094264546117129764, 1.3653161360650549e-05}; +}; + +struct case_mz_hp_zeta_4_100Hz_1000Hz_z50 +{ + static constexpr int order = 4; + static constexpr double cutoff_hz = 100.0; + static constexpr double sample_rate_hz = 1000.0; + + static constexpr double b[5] = {0.52179375574149212, -2.0871750229659685, 3.1307625344489525, -2.0871750229659685, 0.52179375574149212}; + static constexpr double a[5] = {1, -2.4996510315745493, 2.6290400020951328, -1.3335340572286125, 0.28460954333602895}; + static constexpr double step[256] = {0.52179375574149212, -0.26107896741609726, -0.45904169968742903, -0.28702102072778957, -0.0072785766504298577, 0.19855366877253544, 0.26334589438168188, 0.20824999057203042, 0.095055044914284514, -0.015222664581188483, -0.085197164598333486, -0.10545298126487401, -0.086962414192874982, -0.049416387216271063, -0.011273273533149886, 0.015783992750437847, 0.027944258486947038, 0.027385227425832048, 0.019243911717744644, 0.0088785508354266574, 0.00016619584238719565, -0.0050583191000116434, -0.0067181190823043524, -0.0057997225197939928, -0.0036278202882341626, -0.0013397769279294147, 0.00036662317967162128, 0.0012515916166445651, 0.0014105493836599203, 0.0011056145913982407, 0.00061995549013438289, 0.00016776811681518122, -0.00013760714095745197, -0.00027297562593331381, -0.00027328987825370188, -0.0001967177020180122, -9.80935731095256e-05, -1.4770885397141775e-05, 3.642102088041721e-05, 5.504970579062185e-05, 5.0073621369661758e-05, 3.3211307374769738e-05, 1.4416012500073627e-05, -1.7164725407692316e-07, -8.2923528111900069e-06, -1.0504732149141383e-05, -8.7890694945302883e-06, -5.3615280389829323e-06, -1.9434691475028743e-06, 5.0690054453905731e-07, 1.7282054171063876e-06, 1.921508394064908e-06, 1.4886782718770419e-06, 8.2980579441116475e-07, 2.3096331325245245e-07, -1.6594139407022368e-07, -3.391251218731739e-07, -3.3960110179531711e-07, -2.4433359724351789e-07, -1.2293024254095286e-07, -2.1271295946867497e-08, 4.0844249205029826e-08, 6.3627465851645582e-08, 5.8286418025410569e-08, 3.8937762902868656e-08, 1.7318223854978498e-08, 5.3851934023185777e-10, -8.8482309257287284e-09, -1.1520896348038434e-08, -9.7466653636857359e-09, -6.0270498591918908e-09, -2.2863654303151293e-09, 4.1168612963105033e-10, 1.7767353144293452e-09, 2.0252882704241415e-09, 1.5911244544142278e-09, 9.048589655336059e-10, 2.7381663603165407e-10, -1.4906242906675971e-10, -3.3866809356908334e-10, -3.470487230927688e-10, -2.5383950497115393e-10, -1.3130618814471973e-10, -2.7278734826552409e-11, 3.7291392196436846e-11, 6.2075788953563915e-11, 5.8121174539849108e-11, 3.9576009136510493e-11, 1.8289925129977291e-11, 1.5106804696074505e-12, -8.074763080401226e-12, -1.1029510638138618e-11, -9.5324859117340566e-12, -6.0290661352269126e-12, -2.4195090375656036e-12, 2.2992718839986992e-13, 1.6083800957744643e-12, 1.9050316879543061e-12, 1.528666082606378e-12, 8.9184215568138825e-13, 2.9276581159365378e-13, -1.1690648449302898e-13, -3.0786484472855591e-13, -3.2585045772748344e-13, -2.4458213232492199e-13, -1.3222756223285614e-13, -3.47499806707674e-14, 2.7200464103316335e-14, 5.2291504459844873e-14, 5.0293103015519591e-14, 3.4305891460917337e-14, 1.5210055437364645e-14, -3.3306690738754696e-16, -9.6589403142388619e-15, -1.2989609388114332e-14, -1.2101430968414206e-14, -8.992806499463768e-15, -5.440092820663267e-15, -2.55351295663786e-15, -9.9920072216264089e-16, -7.7715611723760958e-16, -1.4432899320127035e-15, -2.3314683517128287e-15, -2.9976021664879227e-15, -3.219646771412954e-15, -2.9976021664879227e-15, -2.7755575615628914e-15, -2.7755575615628914e-15, -2.7755575615628914e-15, -2.55351295663786e-15, -2.3314683517128287e-15, -2.3314683517128287e-15, -2.3314683517128287e-15, -2.1094237467877974e-15, -1.8873791418627661e-15, -1.8873791418627661e-15, -2.1094237467877974e-15, -2.7755575615628914e-15, -3.6637359812630166e-15, -4.1078251911130792e-15, -3.8857805861880479e-15, -3.219646771412954e-15, -2.3314683517128287e-15, -1.4432899320127035e-15, -7.7715611723760958e-16, -5.5511151231257827e-16, -7.7715611723760958e-16, -1.2212453270876722e-15, -1.8873791418627661e-15, -2.55351295663786e-15, -3.219646771412954e-15, -3.6637359812630166e-15, -3.8857805861880479e-15, -3.8857805861880479e-15, -3.6637359812630166e-15, -3.4416913763379853e-15, -3.4416913763379853e-15, -3.6637359812630166e-15, -3.6637359812630166e-15, -3.219646771412954e-15, -2.55351295663786e-15, -2.1094237467877974e-15, -2.3314683517128287e-15, -2.9976021664879227e-15, -3.6637359812630166e-15, -4.1078251911130792e-15, -4.3298697960381105e-15, -4.1078251911130792e-15, -3.4416913763379853e-15, -2.55351295663786e-15, -1.8873791418627661e-15, -1.6653345369377348e-15, -2.1094237467877974e-15, -2.7755575615628914e-15, -3.219646771412954e-15, -3.219646771412954e-15, -2.7755575615628914e-15, -2.1094237467877974e-15, -1.6653345369377348e-15, -1.6653345369377348e-15, -2.1094237467877974e-15, -2.7755575615628914e-15, -3.219646771412954e-15, -3.219646771412954e-15, -2.7755575615628914e-15, -2.1094237467877974e-15, -1.6653345369377348e-15, -1.6653345369377348e-15, -2.1094237467877974e-15, -2.7755575615628914e-15, -3.219646771412954e-15, -3.219646771412954e-15, -2.7755575615628914e-15, -2.1094237467877974e-15, -1.6653345369377348e-15, -1.6653345369377348e-15, -2.1094237467877974e-15, -2.7755575615628914e-15, -3.219646771412954e-15, -3.219646771412954e-15, -2.7755575615628914e-15, -2.1094237467877974e-15, -1.6653345369377348e-15, -1.6653345369377348e-15, -2.1094237467877974e-15, -2.7755575615628914e-15, -3.219646771412954e-15, -3.219646771412954e-15, -2.7755575615628914e-15, -2.1094237467877974e-15, -1.6653345369377348e-15, -1.6653345369377348e-15, -2.1094237467877974e-15, -2.7755575615628914e-15, -3.219646771412954e-15, -3.219646771412954e-15, -2.7755575615628914e-15, -2.1094237467877974e-15, -1.6653345369377348e-15, -1.6653345369377348e-15, -2.1094237467877974e-15, -2.7755575615628914e-15, -3.219646771412954e-15, -3.219646771412954e-15, -2.7755575615628914e-15, -2.1094237467877974e-15, -1.6653345369377348e-15, -1.6653345369377348e-15, -2.1094237467877974e-15, -2.7755575615628914e-15, -3.219646771412954e-15, -3.219646771412954e-15, -2.7755575615628914e-15, -2.1094237467877974e-15, -1.6653345369377348e-15, -1.6653345369377348e-15, -2.1094237467877974e-15, -2.7755575615628914e-15, -3.219646771412954e-15, -3.219646771412954e-15, -2.7755575615628914e-15, -2.1094237467877974e-15, -1.6653345369377348e-15, -1.6653345369377348e-15, -2.1094237467877974e-15, -2.7755575615628914e-15, -3.219646771412954e-15, -3.219646771412954e-15, -2.7755575615628914e-15, -2.1094237467877974e-15, -1.6653345369377348e-15, -1.6653345369377348e-15, -2.1094237467877974e-15, -2.7755575615628914e-15, -3.219646771412954e-15, -3.219646771412954e-15}; + static constexpr double impulse[256] = {0.52179375574149212, -0.78287272315758938, -0.19796273227133199, 0.17202067895963913, 0.27974244407735926, 0.20583224542296497, 0.064792225609146492, -0.055095903809651126, -0.11319494565774527, -0.11027770949547233, -0.06997450001714442, -0.020255816666540111, 0.018490567071999288, 0.037546026976604086, 0.038143113683121302, 0.027057266283587664, 0.012160265736508899, -0.00055903106111531917, -0.0081413157080876403, -0.010365360882317915, -0.0087123549930390731, -0.0052245149423983499, -0.0016597999822925962, 0.00091839656251018961, 0.0021719022315593835, 0.0022880433603041559, 0.0017064001076007446, 0.0008849684369731884, 0.00015895776701592163, -0.00030493479226101924, -0.00048565910126348294, -0.00045218737331904077, -0.00030537525777277598, -0.00013536848497619827, -3.1425232080071162e-07, 7.6572176235262344e-05, 9.8624128908149722e-05, 8.3322687712229814e-05, 5.1191906277475827e-05, 1.8628684910185979e-05, -4.9760844207449387e-06, -1.6862313994661098e-05, -1.8795294874567186e-05, -1.4587659754054002e-05, -8.1207055570423497e-06, -2.2123793376933694e-06, 1.7156626548235242e-06, 3.4275414554692096e-06, 3.418058891129549e-06, 2.4503696918360153e-06, 1.2213048723635054e-06, 1.933029768399722e-07, -4.3283012196880654e-07, -6.5887247695413714e-07, -5.9884248094444727e-07, -3.9690470765525727e-07, -1.7318372860371102e-07, -4.7598088274892925e-10, 9.5267504005732286e-08, 1.2140335478723788e-07, 1.016589472930992e-07, 6.2115546186265264e-08, 2.2783217557631243e-08, -5.3410473332602689e-09, -1.9348655054090054e-08, -2.1619539161102361e-08, -1.6779704907248414e-08, -9.3867508332619547e-09, -2.6726658727952121e-09, 1.7742306280737512e-09, 3.7196151396202466e-09, 3.7406844297625214e-09, 2.6980518806509348e-09, 1.3650496652885645e-09, 2.4855360018975921e-10, -4.3416332807548389e-10, -6.8626526363751788e-10, -6.3104238820105114e-10, -4.2287923751553844e-10, -1.8960591550575387e-10, -8.3810637324824177e-12, 9.3208622503645227e-11, 1.2253270210233663e-10, 1.0402701721228823e-10, 6.4570068752018462e-11, 2.4784917307048958e-11, -3.9540556376169157e-12, -1.8544994407312919e-11, -2.1286370405122649e-11, -1.6779857459505998e-11, -9.5860883777651653e-12, -2.9549767123295476e-12, 1.4975919841012209e-12, 3.5045415713507663e-12, 3.6106318723693764e-12, 2.6498441916138208e-12, 1.3783867114515549e-12, 2.9641397981175993e-13, -3.7686510483602379e-13, -6.3736077970799495e-13, -5.9940996984358765e-13, -4.0959346354924009e-13, -1.9065083640935033e-13, -1.765760820934831e-14, 8.1481781304548889e-14, 1.1243340223932978e-13, 9.7539432970082231e-14, 6.1906886406150884e-14, 2.5053819895616636e-14, -2.0573374986486206e-15, -1.6215832586942161e-14, -1.9334268646966039e-14, -1.557093789075541e-14, -9.1301724121089914e-15, -3.0533513084004153e-15, 1.1096171396926588e-15, 3.0572800206048759e-15, 3.251691552408907e-15, 2.4391078393577898e-15, 1.3092706635698693e-15, 3.2631804393239677e-16, -2.9927278772163453e-16, -5.542170717605061e-16, -5.3602384527347922e-16, -3.7477739057846384e-16, -1.8147600851323994e-16, -2.5392525630574824e-17, 6.6414320519971049e-17, 9.7431374498965583e-17, 8.672653659707061e-17, 5.6427809077808129e-17, 2.4068203916773003e-17, -2.6596533251108548e-19, -1.3375886189510036e-17, -1.669993756723807e-17, -1.378299066610034e-17, -8.3093664474362212e-18, -2.9975132417756287e-18, 7.2579385645706496e-19, 2.5367611090760004e-18, 2.8005154363745038e-18, 2.1520565689522101e-18, 1.1930127898382338e-18, 3.3686913564694091e-19, -2.2163575674204741e-19, -4.6122713242526781e-19, -4.6053396708306382e-19, -3.3002462547227682e-19, -1.6616661141553976e-19, -3.0578685677145884e-20, 5.1395909497822196e-20, 8.1203748500067112e-20, 7.4374016308986642e-20, 4.9662364946325613e-20, 2.2266515643664182e-20, 1.163096698850971e-21, -1.0573324270691837e-20, -1.3928674729712146e-20, -1.1805367483079003e-20, -7.3211724000152943e-21, -2.8286859214908421e-21, 3.9830157753443402e-22, 2.0292309041350603e-21, 2.3367448625300883e-21, 1.8423372127377292e-21, 1.0544924865989676e-21, 3.3087537856740834e-22, -1.5347041795091265e-22, -3.7165220332611104e-22, -3.8440598454401592e-22, -2.8262062590759728e-22, -1.4776595369401247e-22, -3.3185095978065395e-23, 3.8052825608485093e-23, 6.5749325113348652e-23, 6.2110112549770235e-23, 4.2585535007068285e-23, 2.0007773041965884e-23, 2.1664404679129263e-24, -8.073760021818121e-24, -1.1316444129843955e-23, -9.8663041799685265e-24, -6.2941567136748955e-24, -2.5872814613110395e-24, 1.4400435898461999e-25, 1.576599090808613e-24, 1.9035034471425419e-24, 1.5415519905337799e-24, 9.1041888403978332e-25, 3.12599181789915e-25, -9.8181964037320029e-26, -2.9192222107924469e-25, -3.1383161777429742e-25, -2.3689203361824409e-25, -1.2841623907727602e-25, -3.3618452426583168e-26, 2.6992908867798331e-26, 5.203141393188149e-26, 5.0812076221304967e-26, 3.578388582221428e-26, 1.7563469191674316e-26, 2.7762738273159396e-27, -5.9779187094917969e-27, -9.0045966900991449e-27, -8.0886372339128589e-27, -5.3072377213980912e-27, -2.3074550385579514e-27, -3.8571173355469915e-29, 1.1946982241997858e-27, 1.521154431042621e-27, 1.2667335723822376e-27, 7.7136452647565558e-28, 2.8633762462079563e-28, -5.5906765295728239e-29, -2.2442406974725183e-28, -2.5169746643173868e-28, -1.9518397094687117e-28, -1.0953464797872358e-28, -3.2425840026573586e-29, 1.8268714976576999e-29, 4.0397280079668204e-29, 4.0883564494667822e-29, 2.9579235983570564e-29, 1.5124939433622099e-29, 3.0642500245872742e-30, -4.2954491151797562e-30, -7.0420707001535446e-30, -6.5282320768255326e-30, -4.4046589632591688e-30, -2.0154423492819875e-30, -1.5925721929491675e-31, 8.8482549787626015e-31, 1.1963955316143943e-30, 1.0255688968406148e-30, 6.4346370057504878e-31, 2.5577745466593396e-31, -2.5211964229454672e-32, -1.692762084272523e-31, -1.9889614963128715e-31, -1.5855475976154391e-31, -9.1985658545965661e-32, -3.014240534562946e-32, 1.1658051560202373e-32, 3.0846839343474566e-32, 3.2440922064515476e-32, 2.4118634748525185e-32, 1.2817006508504682e-32, 3.1109575529114341e-33, -2.9900897248184448e-33, -5.4254916474214835e-33, -5.2000448187953401e-33, -3.6072575141181795e-33, -1.7298289429516572e-33, -2.3063456405438795e-34, 6.4086519478035904e-34, 9.281609451805358e-34}; + static constexpr double chirp_in[4096] = {1, 0.99999992642979929, 0.99999882287700514, 0.99999404081958787, 0.9999811660875062, 0.99995401897637071, 0.99990465453387189, 0.99982336314626385, 0.99969867158853654, 0.99951734473821929, 0.99926438818900221, 0.998923052036508, 0.99847483614453059, 0.99789949723582638, 0.99717505818699503, 0.99627781994202647, 0.99518237649358454, 0.9938616334148932, 0.99228683045801158, 0.99042756876612315, 0.98825184327798898, 0.98572608093165093, 0.98281518530153245, 0.97948258832792745, 0.9756903098201305, 0.97139902543374301, 0.96656814383854717, 0.96115589380530031, 0.95511942194735522, 0.94841490185561306, 0.94099765536237645, 0.93282228666059408, 0.92384282998911005, 0.91401291157120323, 0.90328592646221384, 0.89161523092170281, 0.87895435087564089, 0.86525720697385833, 0.85047835667664762, 0.83457325372130264, 0.81749852522376165, 0.79921226656174948, 0.77967435406322239, 0.75884677538693723, 0.73669397733007314, 0.7131832306305963, 0.68828501114913054, 0.66197339661628929, 0.6342264779166199, 0.60502678364962148, 0.57436171646195799, 0.54222399938345511, 0.50861213012343165, 0.4735308409942906, 0.43699156182725674, 0.39901288293222104, 0.35962101483159181, 0.31885024116901001, 0.27674336086026408, 0.2333521152185779, 0.18873759545291671, 0.14297062560971868, 0.096132115709591626, 0.048313379525507044, -0.00038358883718521143, -0.049845885660697295, -0.099949521968676278, -0.15055930804420456, -0.20152880479580074, -0.25270034875965974, -0.30390515757424702, -0.35496352274746379, -0.4056850964493664, -0.45586927889726703, -0.50530571264738766, -0.55377488976053313, -0.60104887736125978, -0.64689216655377857, -0.69106264898686465, -0.73331272456861973, -0.77339054291489417, -0.81104138006864557, -0.8460091508484886, -0.87803805587175265, -0.9068743608505454, -0.93226830418043516, -0.95397612713425417, -0.97176221914417393, -0.9854013687119787, -0.99468110844139446, -0.99940414055107041, -0.99939082701909576, -0.99448172624942033, -0.98454015586016352, -0.96945475889963473, -0.94914204852736517, -0.92354890398720091, -0.89265498858333392, -0.85647505838693705, -0.81506112859245528, -0.7685044628528731, -0.71693734959881206, -0.66053462833527321, -0.59951492826162256, -0.53414158132492895, -0.46472317204376912, -0.39161368717798556, 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-0.94682218813969621, -0.97822728137500836, -0.99597429399523896, -0.99954088350734849, -0.98860097853545059, -0.9630386791909602, -0.92295942146047771, -0.86869802495628545, -0.80082327303127221, -0.72013871347380276, -0.6276794168385581, -0.52470448779900736, -0.41268519236054085, -0.29328863974147795, -0.16835704134703858, -0.039882659401103367, 0.09002134692995295, 0.21915387133951877, 0.34526219919889106, 0.46608122869670787, 0.57937497068616284, 0.68297963205683976, 0.7748475038260193, 0.85309080213204103, 0.91602455057213206, 0.96220754845479073, 0.99048044398756308, 0.99999992642979929, 0.99026806874157036, 0.96115589380530075, 0.91292030397297208, 0.84621360604462514, 0.7620849817471087, 0.66197339661628984, 0.54769160642970061, 0.42140110777252909, 0.2855780849582823, 0.14297062560971963, -0.0034522927617008812, -0.15055930804420603, -0.29512169978712482, -0.43388373911755923, -0.56363695259073099, -0.68129669877065169, -0.78397929272312616, -0.8690777846452038, -0.9343344109714895, -0.97790769530701704, -0.99843218742645046, -0.9950688952752843, -0.96754459005089155, -0.9161783491799238, -0.84189394582437793, -0.74621699410734765, -0.63125611230023981, -0.49966776553729064, -0.35460488704253801, -0.19964984230321187, -0.038732782291660182, 0.1239630836160234, 0.28410729153688535, 0.43733655464327453, 0.57937497068616117, 0.70615681024133081, 0.81394842128514178, 0.89946560517441376, 0.95998273974085324, 0.99342995728005579, 0.99847483614453048, 0.97458533851213081, 0.92207112396763224, 0.84210088492281143, 0.73669397733007302, 0.60868534583648282, 0.46166354924637748, 0.29988255844234957, 0.12814889944360713, -0.048313379525509959, -0.2240165573282355, -0.39337772332802823, -0.55089698145210475, -0.69133985418658528, -0.80991791317645134, -0.90246139255836466, -0.96557747552099782, -0.99678810088010106, -0.99464152469519274, -0.95879249417982837, -0.89004674065898659, -0.79036655916348131, -0.66283548908721601, -0.51158150864681218, -0.34165966256345809, -0.15889660674110515, 0.030298881123715433, 0.21915387133951658, 0.40077079795557791, 0.56838039236265869, 0.71559896074412133, 0.83668028795140859, 0.92675215601078997, 0.98202755565343003, 0.9999811660875062, 0.97948258832792812, 0.92087913039150737, 0.82602263024340583, 0.6982368180860713, 0.54222399938345556, 0.36391230372523414, 0.17024729818871898, -0.031065697601372073, -0.23185984575257096, -0.42383465395227493, -0.59890073081561812, -0.74952733250515868, -0.86907778464520447, -0.95211766591071434, -0.99468110844139468, -0.99448172624941999, -0.95105651629515231, -0.86583354565218051, -0.74211726695732327, -0.58498878606033655, -0.4011222042584015, -0.19852211184659407, 0.013808759593047724, 0.22625900242972455, 0.42903908336572988, 0.61263423194927435, 0.76825896913416514, 0.88829153315462384, 0.96666642869321839, 0.99920437022617881, 0.98386102377908657, 0.92087913039150748, 0.81283271986127859, 0.66455703958209811, 0.48296332366677897, 0.27674336086027079, 0.055974700631925785, -0.16835704134703514, -0.38489726725106244, -0.58249718413303753, -0.75079558121367618, -0.8807772378003631, -0.96527750388896616, -0.99940414055107052, -0.98085070531978158, -0.91008053699473446, -0.79036655916348153, -0.62767941683856299, -0.43042453941683434, -0.20903717243428122, 0.024547220293044292, 0.25752199792776376, 0.47690591218475858, 0.6702700665282546, 0.82645479681547807, 0.93623487063973665, 0.99289265158964735, 0.99266256453924517, 0.93501624268541406, 0.82276590205092304, 0.66197339661628929, 0.46166354924637809, 0.23335211521857976, -0.0095895741826257964, -0.2527003487596628, -0.48128300660049478, -0.68129669877065224, -0.84023397604037153, -0.9479273461671317, -0.99723238944639814, -0.98454015586016264, -0.91008053699473168, -0.77799016180242753, -0.59613248546922271, -0.37567331729755787, -0.13043111482230935, 0.12396308361602595, 0.37104727229943907, 0.59459149924435239, 0.77967435406322239, 0.91370141006883898, 0.98729522857459673, 0.99499250904629022, 0.93569463493371918, 0.81283271986127059, 0.63422647791661613, 0.41163671634210847, 0.16003264759379121, -0.1033839317883601, -0.36033676125160785, -0.59273942915648381, -0.78397929272312317, -0.9201297299918394, -0.99100117924590703, -0.99094976176793526, -0.91937694488673249, -0.78087390759575936, -0.58498878606034577, -0.34562217432566072, -0.080084217820004439, 0.19212671735369832, 0.45074058099674741, 0.67622628148098096, 0.8512844415843499, 0.9622075484547904, 0.99999882287700514, 0.96115589380530075, 0.84804809615642662, 0.66884549507132596, 0.43699156182726329, 0.17024729818871992, -0.110630256376269, -0.3834806669755868, -0.62648422584859709, -0.81992136714207986, -0.94780510850409849, -0.99924960424107578, -0.96945475889963539, -0.86021435641350186, -0.67989149721536402, -0.44284765362705225, -0.16835704134703849, 0.12091746343008787, 0.40077079795558007, 0.64747701163478444, 0.83981774665941822, 0.96094386528026088, 0.99990465453387189, 0.95270229095965364, 0.82276590205091937, 0.62078697520272341, 0.36391230372523531, 0.074347571843515148, -0.22252093395631911, -0.50033216089251542, -0.73409463523198404, -0.90246139255836555, -0.98972693214480445, -0.98735610690369835, -0.89489156836093631, -0.72013871347379788, -0.47859081942819004, -0.19212671735370601, 0.11291736677555103, 0.40813786714038369, 0.66570278481121115, 0.8609957613666358, 0.97501319700248934, 0.99627781994202547, 0.92207112396763291, 0.75884677538694123, 0.5217624778744816, 0.23335211521858765, -0.07855469695947305, -0.38348066697558636, -0.65126920047307302, -0.85508594369616242, -0.97415389500088145, -0.99593983608294245, -0.91755646763273546, -0.74621699410735365, -0.49867062121686356, -0.19964984230321028, 0.12053668025531283, 0.42903908336570928, 0.69383011851338472, 0.88705510950404576, 0.98801617809016951, 0.98546660117894946, 0.878954350875643, 0.67904717547725413, 0.40638618731229703, 0.089639308903445084, 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0.25640987367073959, -0.23745301300816751, 0.2191538713382635, -0.20152880479604404, 0.18459228461925636, -0.16835704134700888, 0.15283420512977428, -0.13803344170061341, 0.12396308361540023, -0.110630256377754, 0.098040999160336914, -0.086200379880266867, 0.075112604335562244, -0.064781119288953887, 0.055208709333225685, -0.046397587328288914, 0.038349478447046295, -0.03106569760236999, 0.024547220292490568, -0.018794746789342908, 0.013808759594209193, -0.0095895741816169593, 0.0061373830151254354, -0.0034522927602768901, 0.0015343547837478589, -0.00038358883724551112, -4.1594761818964385e-13}; + static constexpr double chirp[4096] = {0.52179375574149212, -0.26107900580456855, -0.45904225630675421, -0.28702319408927623, -0.0072835184176819334, 0.19854537734331268, 0.26333449987812807, 0.20823641454373687, 0.095040495516326984, -0.01523709556311148, -0.085210765162907154, -0.10546549255980076, -0.08697394820423443, -0.049427264705813601, -0.011283858181367568, 0.015773413522018886, 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0.00078418374123101486, 0.0007689326366470961, 0.00074224346483002523, 0.00070366098476479233, 0.00065288067091141041, 0.00058976793941049876, 0.00051437622731265176, 0.00042696344788298313, 0.00032800632285989728, 0.00021821207819605615, 9.8526985112257215e-05, -2.9858765523527175e-05, -0.0001655103493115595, -0.00030675221712567202, -0.00045167704303605838, -0.00059816006693752533, -0.00074387911110118665, -0.00088634045779234505, -0.0010229106675589961, -0.0011508542953450052, -0.0012673773253352172, -0.0013696759969760164, -0.0014549905360419224, -0.0015206631385564218, -0.0015641993850855629, -0.0015833320920562444, -0.0015760864396635044, -0.0015408450572199917, -0.0014764116017363105, -0.0013820712393461665, -0.0012576463377046675, -0.0011035456064106483, -0.00092080488718888909, -0.00071111780195218244, -0.00047685451924045497, -0.00022106700285617897, 5.2520736343875107e-05, 0.00033953865052721577, 0.0006350139205371641, 0.00093343214206137448, 0.0012288167132087358, 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-0.00071809442934389384, 2.7549892898746426e-05}; +}; + +struct case_tu_hp_zeta_4_100Hz_1000Hz_z50 +{ + static constexpr int order = 4; + static constexpr double cutoff_hz = 100.0; + static constexpr double sample_rate_hz = 1000.0; + + static constexpr double b[5] = {0.50096181532154072, -2.0038472612861611, 3.005770891929239, -2.0038472612861571, 0.50096181532153861}; + static constexpr double a[5] = {1, -2.5517233081456432, 2.7383921367366661, -1.4169326263681157, 0.30834097389423687}; + static constexpr double step[256] = {0.50096181532154072, -0.22456950531769171, -0.44198369093510559, -0.30399339309438833, -0.03804927585074358, 0.17834476119121745, 0.26482384664801195, 0.22719964889184929, 0.11899376204402046, 0.0017239753381315115, -0.081181921820705272, -0.11332353985310317, -0.10111027721808474, -0.063242046563304122, -0.020036724309734355, 0.013729186572067897, 0.03146821588786608, 0.033811709222473674, 0.025737287041536883, 0.013439787594581976, 0.0020218084231584665, -0.0056018466177669701, -0.0087234534887401516, -0.0081990577422506039, -0.0055943359258268099, -0.0024562291465721753, 0.00012415407006116652, 0.0016442337684663411, 0.0021002988738829664, 0.0017900988077617086, 0.0011078816156520066, 0.00039401220021928474, -0.00013956298484507634, -0.00041725323462360464, -0.0004658531785606268, -0.00036536688938770823, -0.00020481326156018831, -5.353525549245397e-05, 5.0193222309147245e-05, 9.7130727841010511e-05, 9.7698487248054633e-05, 7.0945012854872758e-05, 3.5646343898632082e-05, 5.1671321450452723e-06, -1.4028719618419672e-05, -2.131383154502231e-05, -1.9640615519733728e-05, -1.3222776792609636e-05, -5.8317948794517349e-06, 7.051971673277535e-08, 3.4699107145375052e-06, 4.4750048489028416e-06, 3.8151009613685005e-06, 2.3756495399762656e-06, 8.8562255418089819e-07, -2.1968263452798453e-07, -7.9596774127388414e-07, -9.0715483991310464e-07, -7.1948555846468309e-07, -4.1187789356911253e-07, -1.2071264654522906e-07, 8.0108356170782713e-08, 1.7321657419522296e-07, 1.7858982070961815e-07, 1.3210570215527184e-07, 6.8783765350133308e-08, 1.3399897857979681e-08, -2.2045770098344519e-08, -3.6220519694651898e-08, -3.4276881555328487e-08, -2.3648239588780484e-08, -1.1004642974654644e-08, -7.2241213011636773e-10, 5.3526367782552597e-09, 7.3355794771856608e-09, 6.4303236069207514e-09, 4.127788555408074e-09, 1.6678114445056735e-09, -1.982347619389202e-10, -1.206895916538997e-09, -1.4464098807565051e-09, -1.1810235012177372e-09, -7.0177397226700577e-10, -2.3395729797925924e-10, 9.7295060896840369e-11, 2.5872859410469573e-10, 2.7865598717369267e-10, 2.1255175397527637e-10, 1.1590484128021217e-10, 2.8767210835667356e-11, -2.8736568680187702e-11, -5.3412829714716281e-11, -5.2579718357037564e-11, -3.7491565407776761e-11, -1.8505863508266884e-11, -2.5877078257963149e-12, 7.1627148656716599e-12, 1.0702105868176659e-11, 9.7342134353084475e-12, 6.4797056609222636e-12, 2.8341773372630996e-12, -1.9095836023552692e-14, -1.6298074001497298e-12, -2.0885515539248445e-12, -1.7672530105983242e-12, -1.0937917238607042e-12, -4.0834002845713258e-13, 9.3258734068513149e-14, 3.5127456499139953e-13, 3.9990233346998139e-13, 3.1663560662309465e-13, 1.8185453143360064e-13, 5.5289106626332796e-14, -3.1530333899354446e-14, -7.1498362785860081e-14, -7.3718808835110394e-14, -5.3956838996782608e-14, -2.7311486405778851e-14, -4.2188474935755949e-15, 1.0436096431476471e-14, 1.6209256159527285e-14, 1.532107773982716e-14, 1.0880185641326534e-14, 5.773159728050814e-15, 1.7763568394002505e-15, -6.6613381477509392e-16, -1.7763568394002505e-15, -1.7763568394002505e-15, -8.8817841970012523e-16, 4.4408920985006262e-16, 1.7763568394002505e-15, 2.886579864025407e-15, 3.3306690738754696e-15, 3.1086244689504383e-15, 2.4424906541753444e-15, 1.7763568394002505e-15, 1.3322676295501878e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15, 1.1102230246251565e-15}; + static constexpr double impulse[256] = {0.50096181532154072, -0.72553132063923242, -0.21741418561741366, 0.1379902978407177, 0.2659441172436452, 0.21639403704196103, 0.086479085456794058, -0.037624197756163075, -0.10820588684782885, -0.11726978670588861, -0.082905897158836395, -0.032141618032397679, 0.012213262635018499, 0.037868230654780392, 0.043205322253569114, 0.033765910881801364, 0.017739029315797669, 0.0023434933346077949, -0.008074422180936177, -0.012297499446954244, -0.01141797917142303, -0.0076236550409251036, -0.0031216068709729941, 0.00052439574648960839, 0.0026047218164237198, 0.0031381067792546, 0.0025803832166332004, 0.0015200796984049343, 0.00045606510541640203, -0.00031020006612136517, -0.00068221719210972899, -0.00071386941543265031, -0.00053357518506412971, -0.00027769024977829584, -4.859994393698996e-05, 0.0001004862891727795, 0.0001605536278274334, 0.00015127800606760787, 0.00010372847780163342, 4.6937505532058314e-05, 5.6775940725521581e-07, -2.6753474393139436e-05, -3.5298668956452501e-05, -3.047921175399178e-05, -1.9195851763861166e-05, -7.2851119268201094e-06, 1.6732160249927065e-06, 6.4178387268010516e-06, 7.390981912939648e-06, 5.9023145962332841e-06, 3.3993909981513781e-06, 1.005094134634908e-06, -6.5990388738157949e-07, -1.439451421301848e-06, -1.4900269855534929e-06, -1.105305188122265e-06, -5.7628510598348102e-07, -1.1118709810900032e-07, 1.8766928164368111e-07, 3.0760766475935539e-07, 2.9116524664847804e-07, 2.0082100226135107e-07, 9.310821756866606e-08, 5.3732461773175035e-09, -4.6484118896230215e-08, -6.3321936886498365e-08, -5.5383867266166216e-08, -3.5445667576729072e-08, -1.4174749352808131e-08, 1.9436382473941085e-09, 1.0628641904434779e-08, 1.2643596420510907e-08, 1.0282230736451697e-08, 6.0750489902138037e-09, 1.982942796510337e-09, -9.052556640191266e-10, -2.3025348573351471e-09, -2.4599770486941894e-09, -1.8660462233734364e-09, -1.0086611852034028e-09, -2.3951385150775847e-10, 2.6538672341941319e-10, 4.792499030108713e-10, 4.6781681283985104e-10, 3.3125194058203574e-10, 1.6143263893991594e-10, 1.9926241553076168e-11, -6.6105023587689098e-11, -9.6646965546632947e-11, -8.7136993187177232e-11, -5.7502647439846949e-11, -2.4674940159866107e-11, 8.3414852783226156e-13, 1.5088706430637655e-11, 1.8985672666243005e-11, 1.5917615764087393e-11, 9.749612677248867e-12, 3.5385926686736557e-12, -9.6862499073824167e-13, -3.2552261546559338e-12, -3.6462190583604235e-12, -2.853625914380179e-12, -1.6106555319750593e-12, -4.5832764111132715e-13, 3.2196419311248747e-13, 6.7434376489582372e-13, 6.8628619493771213e-13, 5.0211757739930492e-13, 2.5816933491649878e-13, 4.8275371113156282e-14, -8.3926863030324891e-14, -1.3536989828211071e-13, -1.2680309866207055e-13, -8.6674542795054386e-14, -3.986477760434683e-14, -2.3063570884247674e-15, 1.9566811757476704e-14, 2.6484408649857564e-14, 2.3023271140571925e-14, 1.4660319570228569e-14, 5.8557074116611339e-15, -7.4736305645788656e-16, -4.2686195956091951e-15, -5.0689973304682219e-15, -4.1100419263362078e-15, -2.4246910718867314e-15, -7.9847160766806587e-16, 3.416034254683227e-16, 8.8987623644849206e-16, 9.5152493409050789e-16, 7.2142881600157073e-16, 3.9080266749582739e-16, 9.5526697104395327e-17, -9.7591350002204253e-17, -1.7932069234788784e-16, -1.7547898611709422e-16, -1.2445860777262639e-16, -6.1047582274502451e-17, -8.3100494754055227e-18, 2.3725171820977853e-17, 3.5171625309190627e-17, 3.1828122873508157e-17, 2.1082159575607114e-17, 9.1583374091177273e-18, -1.0822444231426465e-19, -5.2971926457398432e-18, -6.7443555171058157e-18, -5.6811759028112453e-18, -3.5004939114433875e-18, -1.2979603208960806e-18, 3.0340705351620971e-19, 1.1203104660613449e-18, 1.268098214385428e-18, 9.9810810231749893e-19, 5.6819715450613561e-19, 1.6804265700854312e-19, -1.0390295896544309e-19, -2.2795883065699001e-19, -2.3425415631778977e-19, -1.7254905038742365e-19, -8.9782459082184397e-20, -1.8226339816787985e-20, 2.709077938987791e-20, 4.5027285532642229e-20, 4.2570112063203938e-20, 2.9330519101760021e-20, 1.3717141745460633e-20, 1.119111055917055e-21, -6.2739916772427219e-21, -8.6815908585913115e-21, -7.6162201479213172e-21, -4.8957776278124133e-21, -2.0031731520156718e-21, 1.8023470006027515e-22, 1.3567883785946233e-21, 1.6398026908425205e-21, 1.3419449073139722e-21, 8.0075328159931964e-22, 2.7366591404544732e-22, -9.8629635009977001e-23, -2.8024327490795149e-22, -3.0415556393465214e-22, -2.3283882364381307e-22, -1.279173305332891e-22, -3.3363087762305006e-23, 2.9021140302792486e-23, 5.5958647857341914e-23, 5.5488630333387708e-23, 3.9763117606002938e-23, 1.9856072228565213e-23, 3.1495004631586107e-24, -7.1048179713170058e-24, -1.0879978756033783e-23, -9.9667284039601848e-24, -6.6768533290138136e-24, -2.9701619553189148e-24, -6.2628244176191725e-26, 1.5861576121292892e-24, 2.0691641185810604e-24, 1.763495404503325e-24, 1.1005589005295391e-24, 4.2196861565924304e-25, -7.6268591721294765e-26, -3.344719593280399e-25, -3.8607288707520763e-25, -3.0741347109230314e-25, -1.7762266117849864e-25, -5.5333112791417435e-26, 2.8663618074503454e-26, 6.7774208564340273e-26, 7.0813852839905945e-26, 5.2780880551267433e-26, 2.7959424766960544e-26, 6.2508606026231844e-27, -7.6612628821728509e-27, -1.3324617533713917e-26, -1.2785183030320703e-26, -8.9191114408554663e-27, -4.2660639336570521e-27, -4.6900755987134622e-28, 1.7897941967460464e-27, 2.556788516816064e-27, 2.2739086920162756e-27, 1.4815282798934692e-27, 6.2452674411165566e-28, -2.9773188720011385e-29, -3.8808552884656096e-28, -4.8065977653829157e-28, -3.9853418149690589e-28, -2.4142476113849173e-28, -8.6106170969777836e-29, 2.4907563200142684e-29, 8.0151467857697866e-29, 8.8752196494948448e-29, 6.8827298672593517e-29, 3.8479112824087435e-29, 1.0753816809364958e-29, -7.7724286106235029e-30, -1.5981220546365386e-29, -1.6122948797688373e-29, -1.1707305596068027e-29, -5.970602950479498e-30, -1.0936002031981777e-30, 1.9421895112715349e-30, 3.1005363314640096e-30, 2.8846580594030522e-30, 1.9595183332771973e-30, 8.9521813861718118e-31, 4.9763122792445708e-32, -4.3742940813899098e-31, -5.8820576349399569e-31, -5.0860654550247413e-31, -3.2223714916982802e-31, -1.2806640698713414e-31, 1.6328369410667578e-32, 9.2597430165536238e-32}; + static constexpr double chirp_in[4096] = {1, 0.99999992642979929, 0.99999882287700514, 0.99999404081958787, 0.9999811660875062, 0.99995401897637071, 0.99990465453387189, 0.99982336314626385, 0.99969867158853654, 0.99951734473821929, 0.99926438818900221, 0.998923052036508, 0.99847483614453059, 0.99789949723582638, 0.99717505818699503, 0.99627781994202647, 0.99518237649358454, 0.9938616334148932, 0.99228683045801158, 0.99042756876612315, 0.98825184327798898, 0.98572608093165093, 0.98281518530153245, 0.97948258832792745, 0.9756903098201305, 0.97139902543374301, 0.96656814383854717, 0.96115589380530031, 0.95511942194735522, 0.94841490185561306, 0.94099765536237645, 0.93282228666059408, 0.92384282998911005, 0.91401291157120323, 0.90328592646221384, 0.89161523092170281, 0.87895435087564089, 0.86525720697385833, 0.85047835667664762, 0.83457325372130264, 0.81749852522376165, 0.79921226656174948, 0.77967435406322239, 0.75884677538693723, 0.73669397733007314, 0.7131832306305963, 0.68828501114913054, 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0.57593069136480424, -0.55089698145218191, 0.52601004251397765, -0.50132820166018488, 0.47690591218530526, -0.45279386036808306, 0.4290390833651167, -0.40568509645037554, 0.3827720280763382, -0.36033676125198227, 0.33841307983513402, -0.31703181849472845, 0.29622101515464083, -0.2760060647928777, 0.25640987367073959, -0.23745301300816751, 0.2191538713382635, -0.20152880479604404, 0.18459228461925636, -0.16835704134700888, 0.15283420512977428, -0.13803344170061341, 0.12396308361540023, -0.110630256377754, 0.098040999160336914, -0.086200379880266867, 0.075112604335562244, -0.064781119288953887, 0.055208709333225685, -0.046397587328288914, 0.038349478447046295, -0.03106569760236999, 0.024547220292490568, -0.018794746789342908, 0.013808759594209193, -0.0095895741816169593, 0.0061373830151254354, -0.0034522927602768901, 0.0015343547837478589, -0.00038358883724551112, -4.1594761818964385e-13}; + static constexpr double chirp[4096] = {0.50096181532154072, -0.22456954217355296, 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-6.3029301031192198e-06, -2.3042421151142634e-06, 6.5481665023625624e-06, 1.6478113636420044e-05, 2.5017760492629382e-05, 3.1145380290364955e-05, 3.4960571819120378e-05, 3.7181938890018529e-05, 3.8682468080336596e-05, 4.0176805475217181e-05, 4.2083976511064769e-05, 4.4529986908903307e-05, 4.743053723496593e-05, 5.0596871610658622e-05, 5.3825383055469689e-05, 5.6952806057455896e-05, 5.9876157027821675e-05, 6.2546809856171837e-05, 6.4951355681856088e-05, 6.7090231345947807e-05, 6.8961067645603724e-05, 7.0549443677805912e-05, 7.1826531191837573e-05, 7.275141849388822e-05, 7.3275549742374269e-05, 7.3347230358761228e-05, 7.2915018166086476e-05, 7.1929648417429215e-05, 7.0344714253767204e-05, 6.8116590705102897e-05, 6.5204106528216066e-05, 6.156833627718461e-05, 5.7172705093089249e-05, 5.1983441413994136e-05, 4.5970312121224044e-05, 3.9107534251348053e-05, 3.1374762331670691e-05, 2.2758079602780423e-05, 1.3250955874954951e-05, 2.855162295201108e-06, -8.4183511834257096e-06, 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0.00030506128737484151, 0.00036310248586274296, 0.00042074253455326449, 0.00047719398774759281, 0.0005316167632168356, 0.00058312600247911739, 0.00063080150709393656, 0.00067369876188200228, 0.00071086152715488238, 0.00074133594987718654, 0.00076418610843037582, 0.00077851086765429178, 0.00078346188049432941, 0.00077826253057200478, 0.0007622275668959233, 0.00073478313853060639, 0.00069548689447536394, 0.0006440477729872697, 0.00058034506651587214, 0.00050444631453200328, 0.00041662354782290301, 0.00031736738619936311, 0.00020739847782730303, 8.7675764351757834e-05, -4.0598937148916825e-05, -0.00017598052544715026, -0.00031678483740799068, -0.00046109791240467324, -0.0006067906485724972, -0.00075153912351938468, -0.00089285075942291403, -0.0010280964043650753, -0.0011545482788761774, -0.0012694236001132286, -0.001369933547484159, -0.0014533370749930108, -0.0015169989097487124, -0.0015584509062612772, -0.0015754557559821136, -0.001566071885425957, -0.0015287182187413428, 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-0.081625033411908063, 0.14930017174186491, -0.21553290818628618, 0.28005096030224869, -0.34260614305126896, 0.40297450970210175, -0.46095629582198466, 0.51637568323253846, -0.56908040087510914, 0.61894117965687356, -0.66585107807370814, 0.70972469507752556, -0.75049728623977652, 0.78812379856811821, -0.82257783876034263, 0.85385058885931175, -0.88194968242175731, 0.90689805354449271, -0.92873277006538735, 0.94750386141376564, -0.96327315066617203, 0.97611309934825541, -0.98610567271395611, 0.99334123228095195, -0.99791746152273508, 0.99993832984128217, -0.99951309908620611, 0.99675537616634124, -0.99178221459149807, 0.9847132670915375, -0.97566999087934736, 0.96477490653511855, -0.95215091098020022, 0.93792064454470014, -0.92220591170815791, 0.90512715472517935, -0.88680297900477156, 0.86734972885741413, -0.84688111195103921, 0.82550787061603748, -0.8033374980004615, 0.78047399689639163, -0.75701767899862515, 0.73306500226279625, -0.70870844395846133, 0.68403640705675983, -0.65913315752395762, 0.63407879011835955, -0.60894922037462929, 0.58381620044142535, -0.55874735653255403, 0.53380624582971103, -0.50905243072012596, 0.48454156839344847, -0.46032551386268844, 0.43645243458772609, -0.41296693501552317, 0.38991018937712268, -0.36732008127022908, 0.34523134860298543, -0.32367573254723214, 0.30268212936389904, -0.28227674392595647, 0.26248324391660938, -0.24332291381920412, 0.22481480777867752, -0.20697590062702226, 0.18982123637016202, -0.17336407346915633, 0.15761602645626466, -0.14258720333207375, 0.1282863383234, -0.11472091968338186, 0.10189731213472912, -0.08982087374732986, 0.078496066991230129, -0.067926563718559888, 0.058115344009645228, -0.04906478866699774, 0.040776765240609032, -0.033252707582437771, 0.026493688751528549, -0.020500487284806364, 0.015273646808409119, -0.010813528858936871, 0.0071203590243730979, -0.0041942663166388752, 0.0020353157424796344, -0.00064353416419173743, 1.892934195444666e-05}; +}; + +struct case_tupw_hp_zeta_4_100Hz_1000Hz_z50 +{ + static constexpr int order = 4; + static constexpr double cutoff_hz = 100.0; + static constexpr double sample_rate_hz = 1000.0; + + static constexpr double b[5] = {0.48868479494458483, -1.9547391797783373, 2.9321087696675021, -1.9547391797783324, 0.4886847949445825}; + static constexpr double a[5] = {1, -2.5010328616974795, 2.6552379748415866, -1.3648719454836558, 0.29781393709063519}; + static constexpr double step[256] = {0.48868479494458483, -0.24383765366545151, -0.44136602516728896, -0.27811656341169477, -0.0019911491652578883, 0.20369587731690342, 0.2665885165172065, 0.20599493667502011, 0.08595593358710818, -0.028791247935794684, -0.098478381947877724, -0.11387937536726034, -0.088227762195049908, -0.044119636393232242, -0.0021814858117922276, 0.025187433983612562, 0.034844767325841297, 0.030431270771317798, 0.018615757695458091, 0.0058138324571245237, -0.0037311503388856027, -0.0084235694656354942, -0.0087694272514323712, -0.0063900269607949367, -0.0030826562326454754, -0.0002032711391216635, 0.0015668872196298311, 0.0021541777524544115, 0.0018678298151980632, 0.0011507865610408397, 0.00039215827816241333, -0.00016700708109207429, -0.00044455320894820627, -0.00047587308501129133, -0.0003545131418357661, -0.00018011389793437527, -2.6265702739558527e-05, 7.0410471310400347e-05, 0.00010558714214281562, 9.4911463292768339e-05, 6.0941268477221477e-05, 2.3547301952864252e-05, -4.8243232623201848e-06, -1.9678410256518397e-05, -2.2416731657926015e-05, -1.7411418510193677e-05, -9.4465320793490903e-06, -2.1300908509269689e-06, 2.6670219467339606e-06, 4.6182641281200532e-06, 4.3748600618842559e-06, 2.9535926647783484e-06, 1.2798005825098713e-06, -4.5927751490815183e-08, -7.8466045561054187e-07, -9.733696243463541e-07, -7.9479712822294601e-07, -4.6056886426892873e-07, -1.363644211993531e-07, 8.6954777045455955e-08, 1.8764088427491998e-07, 1.894542452918202e-07, 1.3489345229711347e-07, 6.4536284427596513e-08, 5.9318644440864432e-09, -2.8833231469072018e-08, -3.9952757657779614e-08, -3.4487638633784456e-08, -2.1290899154813303e-08, -7.6198108933667186e-09, 2.3022835859975999e-09, 7.202046403698148e-09, 7.8401040104481012e-09, 5.8968184779573107e-09, 3.0750134660806339e-09, 5.8912108524822315e-10, -9.7797181464187588e-10, -1.5693518706783038e-09, -1.4399600400949453e-09, -9.4463981081815973e-10, -3.8984959704890798e-10, 3.523015212891778e-11, 2.6278279552371941e-10, 3.1291580437908806e-10, 2.4904867057529145e-10, 1.401855298510668e-10, 3.8154479575780442e-11, -3.0071833911904378e-11, -5.9355076409417507e-11, -5.8274607361852304e-11, -4.0552339264365855e-11, -1.8746226793098231e-11, -1.0699219288312634e-12, 9.1059382256730714e-12, 1.2105538793605319e-11, 1.0220158053186879e-11, 6.1645133442311817e-12, 2.0911050668814823e-12, -7.9458661872422454e-13, -2.1701529462347935e-12, -2.2998269955110118e-12, -1.6971979377444768e-12, -8.638645354608343e-13, -1.4710455076283324e-13, 2.9387603461827894e-13, 4.5152770411505116e-13, 4.0512038168571962e-13, 2.5901503164504902e-13, 1.0047518372857667e-13, -1.8096635301390052e-14, -7.9380946260698693e-14, -9.0927265716800321e-14, -7.1609385088322597e-14, -4.1189274213593308e-14, -1.3655743202889425e-14, 4.3298697960381105e-15, 1.1879386363489175e-14, 1.1435297153639112e-14, 6.7723604502134549e-15, 9.9920072216264089e-16, -3.8857805861880479e-15, -6.9944050551384862e-15, -8.3266726846886741e-15, -8.1046280797636427e-15, -6.7723604502134549e-15, -4.9960036108132044e-15, -3.219646771412954e-15, -1.8873791418627661e-15, -1.2212453270876722e-15, -1.2212453270876722e-15, -1.6653345369377348e-15, -2.3314683517128287e-15, -2.9976021664879227e-15, -3.4416913763379853e-15, -3.6637359812630166e-15, -3.6637359812630166e-15, -3.4416913763379853e-15, -3.219646771412954e-15, -3.219646771412954e-15, -3.219646771412954e-15, -2.9976021664879227e-15, -2.7755575615628914e-15, -2.7755575615628914e-15, -2.9976021664879227e-15, -3.4416913763379853e-15, -3.8857805861880479e-15, -4.3298697960381105e-15, -4.7739590058881731e-15, -5.2180482157382357e-15, -5.440092820663267e-15, -5.440092820663267e-15, -5.2180482157382357e-15, -4.7739590058881731e-15, -4.3298697960381105e-15, -4.1078251911130792e-15, -3.8857805861880479e-15, -3.6637359812630166e-15, -3.6637359812630166e-15, -3.6637359812630166e-15, -3.4416913763379853e-15, -3.219646771412954e-15, -3.219646771412954e-15, -3.219646771412954e-15, -2.9976021664879227e-15, -2.7755575615628914e-15, -2.7755575615628914e-15, -2.9976021664879227e-15, -3.4416913763379853e-15, -3.8857805861880479e-15, -4.3298697960381105e-15, -4.7739590058881731e-15, -5.2180482157382357e-15, -5.440092820663267e-15, -5.440092820663267e-15, -5.2180482157382357e-15, -4.7739590058881731e-15, -4.3298697960381105e-15, -4.1078251911130792e-15, -3.8857805861880479e-15, -3.6637359812630166e-15, -3.6637359812630166e-15, -3.6637359812630166e-15, -3.4416913763379853e-15, -3.219646771412954e-15, -3.219646771412954e-15, -3.219646771412954e-15, -2.9976021664879227e-15, -2.7755575615628914e-15, -2.7755575615628914e-15, -2.9976021664879227e-15, -3.4416913763379853e-15, -3.8857805861880479e-15, -4.3298697960381105e-15, -4.7739590058881731e-15, -5.2180482157382357e-15, -5.440092820663267e-15, -5.440092820663267e-15, -5.2180482157382357e-15, -4.7739590058881731e-15, -4.3298697960381105e-15, -4.1078251911130792e-15, -3.8857805861880479e-15, -3.6637359812630166e-15, -3.6637359812630166e-15, -3.6637359812630166e-15, -3.4416913763379853e-15, -3.219646771412954e-15, -3.219646771412954e-15, -3.219646771412954e-15, -2.9976021664879227e-15, -2.7755575615628914e-15, -2.7755575615628914e-15, -2.9976021664879227e-15, -3.4416913763379853e-15, -3.8857805861880479e-15, -4.3298697960381105e-15, -4.7739590058881731e-15, -5.2180482157382357e-15, -5.440092820663267e-15, -5.440092820663267e-15, -5.2180482157382357e-15, -4.7739590058881731e-15, -4.3298697960381105e-15, -4.1078251911130792e-15, -3.8857805861880479e-15, -3.6637359812630166e-15, -3.6637359812630166e-15, -3.6637359812630166e-15, -3.4416913763379853e-15, -3.219646771412954e-15, -3.219646771412954e-15, -3.219646771412954e-15, -2.9976021664879227e-15, -2.7755575615628914e-15, -2.7755575615628914e-15, -2.9976021664879227e-15, -3.4416913763379853e-15, -3.8857805861880479e-15, -4.3298697960381105e-15, -4.7739590058881731e-15, -5.2180482157382357e-15, -5.440092820663267e-15, -5.440092820663267e-15, -5.2180482157382357e-15, -4.7739590058881731e-15, -4.3298697960381105e-15, -4.1078251911130792e-15, -3.8857805861880479e-15, -3.6637359812630166e-15, -3.6637359812630166e-15, -3.6637359812630166e-15, -3.4416913763379853e-15, -3.219646771412954e-15, -3.219646771412954e-15, -3.219646771412954e-15, -2.9976021664879227e-15}; + static constexpr double impulse[256] = {0.48868479494458483, -0.73252244861003635, -0.19752837150183744, 0.16324946175559418, 0.27612541424643677, 0.20568702648216108, 0.062892639200302913, -0.060593579842186607, -0.12003900308791204, -0.11474718152290275, -0.069687134012082541, -0.015400993419382059, 0.025651613172210652, 0.044108125801817513, 0.041938150581439751, 0.027368919795404664, 0.009657333342228569, -0.0044134965545238186, -0.01181551307586017, -0.012801925238334011, -0.0095449827960105427, -0.0046924191267502108, -0.00034585778579670698, 0.0023794002906379515, 0.0033073707281500954, 0.0028793850935245726, 0.0017701583587521885, 0.00058729053282488694, -0.00028634793725638248, -0.00071704325415747523, -0.00075862828287869065, -0.00055916535925480812, -0.00027754612785652641, -3.1319876063402841e-05, 0.00012135994317525823, 0.00017439924390132003, 0.00015384819519508177, 9.6676174050336176e-05, 3.5176670832607688e-05, -1.0675678850201938e-05, -3.3970194815863157e-05, -3.7393966524320457e-05, -2.8371625214728341e-05, -1.485408699376174e-05, -2.738321401343331e-06, 5.0053131474713879e-06, 7.9648864303797586e-06, 7.3164412280161944e-06, 4.7971127975997755e-06, 1.9512421817101741e-06, -2.4340406560993815e-07, -1.4212673965940227e-06, -1.6737920821630566e-06, -1.3257283342182604e-06, -7.3873270457342252e-07, -1.8870916928778866e-07, 1.7857249590121869e-07, 3.3422826398065207e-07, 3.2420444333474681e-07, 2.2331919846300242e-07, 1.0068610728356746e-07, 1.8133608881467089e-09, -5.4560793248680527e-08, -7.035716815842445e-08, -5.8604420065998625e-08, -3.4765095903145076e-08, -1.1119525975954214e-08, 5.465119391067579e-09, 1.3196739814268203e-08, 1.3671088431142975e-08, 9.9220946675793539e-09, 4.8997628825186294e-09, 6.3805745542000809e-10, -1.9432858275071097e-09, -2.8218052792942576e-09, -2.485892362002013e-09, -1.5670926637283285e-09, -5.9137970649727291e-10, 1.2939206667753955e-10, 4.9532024386101847e-10, 5.5478994331927681e-10, 4.2507947885700318e-10, 2.2755236396354382e-10, 5.013272277078718e-11, -6.3867212950335244e-11, -1.0886306312953151e-10, -1.0203096768468816e-10, -6.8226254548674047e-11, -2.9283199275720565e-11, 1.0804303456067233e-12, 1.7722197953316957e-11, 2.1805912094577504e-11, 1.7676243659197633e-11, 1.0175743977258197e-11, 2.9995967800832575e-12, -1.8852271726175676e-12, -4.055302628306212e-12, -4.073131241379433e-12, -2.8856569520732388e-12, -1.3755119773304335e-12, -1.296716552533307e-13, 6.0248159914535732e-13, 8.3312653077463158e-13, 7.1660624332973224e-13, 4.4103481962809276e-13, 1.5796607857128438e-13, -4.6014982509122798e-14, -1.4598178832296415e-13, -1.58667367882692e-13, -1.1906497164794103e-13, -6.202833052564387e-14, -1.2074286770645404e-14, 1.9246704757643029e-14, 3.0995225647218893e-14, 2.8408542586387845e-14, 1.8616176631649858e-14, 7.700805439569378e-15, -6.27199065585942e-16, -5.0678792118194919e-15, -6.0431132252952658e-15, -4.8070530238676913e-15, -2.706911394794453e-15, -7.4499525984872423e-16, 5.6294783247940935e-16, 1.1231106986561777e-15, 1.1035091121624372e-15, 7.6800805044950437e-16, 3.5598264592603222e-16, 2.275076493812499e-17, -1.6872598045274415e-16, -2.2525069147303073e-16, -1.9031646337045782e-16, -1.1495839122526324e-16, -3.9368614367696025e-17, 1.4104881296877055e-17, 3.9585223688057714e-17, 4.2055222640745121e-17, 3.1049183470508941e-17, 1.5816535028798932e-17, 2.725665052764528e-18, -5.3261585527256299e-18, -8.2175215590114124e-18, -7.4002738163256707e-18, -4.7701181239905773e-18, -1.9103945100909845e-18, 2.3470566657206658e-19, 1.3528629117566435e-18, 1.5735189881462957e-18, 1.232535010004636e-18, 6.8112920747653779e-19, 1.7560325958727908e-19, -1.5573404258145522e-19, -2.931763589406058e-19, -2.8290657254524501e-19, -1.9395975692079718e-19, -8.7683870188213436e-20, -3.1101669563362428e-21, 4.4566201566153256e-20, 5.7806432402946432e-20, 4.8110415239990689e-20, 2.8589304299399425e-20, 9.3841299209343055e-21, -3.992394315824468e-21, -1.0209420306184549e-20, -1.0639496296959652e-20, -7.7451210474054088e-21, -3.8659683424605093e-21, -5.8481669495975376e-22, 1.3999120291530296e-21, 2.0841067447948631e-21, 1.848459227307529e-21, 1.1741251157396227e-21, 4.5605187729703484e-22, -7.4746756030471909e-23, -3.4583684530958446e-22, -3.9369730014426747e-22, -3.0420911587427215e-22, -1.6523935587326058e-22, -3.9872829809313955e-23, 4.1068610171816712e-23, 7.3652948874217909e-23, 6.9950788534329458e-23, 4.7311192308093941e-23, 2.0886895736619741e-23, 1.5533231705068283e-25, -1.1329788154305768e-23, -1.4330611187513837e-23, -1.1766445685113479e-23, -6.8870544250541613e-24, -2.167316380170467e-24, 1.0744030807030311e-24, 2.5461223109433877e-24, 2.6080911784020635e-24, 1.8742407419709338e-24, 9.1759364814923576e-25, 1.1981644655764663e-25, -3.5539192415945996e-25, -5.1276524672429326e-25, -4.4853066990426336e-25, -2.8102366424263298e-25, -1.0591198330337541e-25, 2.1817063325767516e-26, 8.5804081749690479e-26, 9.5805802244076115e-26, 7.310276589437066e-26, 3.9059373917500708e-26, 8.7925379494838377e-27, -1.0477895405852818e-26, -1.8011820245236997e-26, -1.6858586104102357e-26, -1.1257734567857897e-26, -4.8557709333086278e-27, 1.0188154957573949e-28, 2.8033923028160121e-27, 3.4660612480105753e-27, 2.8102309091521864e-27, 1.6211921648054501e-27, 4.88663511076908e-28, -2.7912351922571707e-28, -6.1982123279452854e-28, -6.2490440800819715e-28, -4.4363224978114754e-28, -2.1311865808331013e-28, -2.3390664292467397e-29, 8.7983964253818056e-29, 1.2339875543801197e-28, 1.0655042453144452e-28, 6.5885961980338994e-29, 2.4086871195664492e-29, -6.023035830070383e-30, -2.0826485952254368e-29, -2.2841395287362533e-29, -1.7221882411866788e-29, -9.0548960724462497e-30, -1.8915583044184315e-30, 2.6088761374334961e-30, 4.3175653799763314e-30, 3.9861252924111097e-30, 2.6293810664892401e-30, 1.1080213903785492e-30, -5.5715110933435559e-32, -6.7976101143999415e-31, -8.2292676618843008e-31, -6.5926783811733455e-31, -3.7497812530011959e-31, -1.0806696769297109e-31, 7.064000393749445e-32, 1.4815851471723542e-31, 1.4715943243117023e-31, 1.0325287056700833e-31, 4.8675331538665342e-32, 4.3077710484592731e-33, -2.1369895411388291e-32, -2.9199517394942913e-32, -2.4903431008861354e-32, -1.5202716869028848e-32}; + static constexpr double chirp_in[4096] = {1, 0.99999992642979929, 0.99999882287700514, 0.99999404081958787, 0.9999811660875062, 0.99995401897637071, 0.99990465453387189, 0.99982336314626385, 0.99969867158853654, 0.99951734473821929, 0.99926438818900221, 0.998923052036508, 0.99847483614453059, 0.99789949723582638, 0.99717505818699503, 0.99627781994202647, 0.99518237649358454, 0.9938616334148932, 0.99228683045801158, 0.99042756876612315, 0.98825184327798898, 0.98572608093165093, 0.98281518530153245, 0.97948258832792745, 0.9756903098201305, 0.97139902543374301, 0.96656814383854717, 0.96115589380530031, 0.95511942194735522, 0.94841490185561306, 0.94099765536237645, 0.93282228666059408, 0.92384282998911005, 0.91401291157120323, 0.90328592646221384, 0.89161523092170281, 0.87895435087564089, 0.86525720697385833, 0.85047835667664762, 0.83457325372130264, 0.81749852522376165, 0.79921226656174948, 0.77967435406322239, 0.75884677538693723, 0.73669397733007314, 0.7131832306305963, 0.68828501114913054, 0.66197339661628929, 0.6342264779166199, 0.60502678364962148, 0.57436171646195799, 0.54222399938345511, 0.50861213012343165, 0.4735308409942906, 0.43699156182725674, 0.39901288293222104, 0.35962101483159181, 0.31885024116901001, 0.27674336086026408, 0.2333521152185779, 0.18873759545291671, 0.14297062560971868, 0.096132115709591626, 0.048313379525507044, -0.00038358883718521143, -0.049845885660697295, -0.099949521968676278, -0.15055930804420456, -0.20152880479580074, -0.25270034875965974, -0.30390515757424702, -0.35496352274746379, -0.4056850964493664, -0.45586927889726703, -0.50530571264738766, -0.55377488976053313, -0.60104887736125978, -0.64689216655377857, -0.69106264898686465, -0.73331272456861973, -0.77339054291489417, -0.81104138006864557, -0.8460091508484886, -0.87803805587175265, -0.9068743608505454, -0.93226830418043516, -0.95397612713425417, -0.97176221914417393, -0.9854013687119787, -0.99468110844139446, -0.99940414055107041, -0.99939082701909576, -0.99448172624942033, -0.98454015586016352, -0.96945475889963473, -0.94914204852736517, -0.92354890398720091, -0.89265498858333392, -0.85647505838693705, -0.81506112859245528, -0.7685044628528731, -0.71693734959881206, -0.66053462833527321, -0.59951492826162256, -0.53414158132492895, -0.46472317204376912, -0.39161368717798556, -0.3152122296164856, -0.23596226275400647, -0.15435035416899404, -0.070904390633105427, 0.013808759593039822, 0.09918615657250443, 0.18459228461860086, 0.2693631422116452, 0.35281092692297711, 0.43422930879702298, 0.51289927740590668, 0.5880955389371294, 0.65909343027171097, 0.72517630714337644, 0.78564335324217838, 0.83981774665942033, 0.88705510950404776, 0.92675215601078931, 0.9583554441811033, 0.98137012613941343, 0.99536858315359633, 0.99999882287700514, 0.99499250904629088, 0.98017248784854372, 0.95545967068985072, 0.92087913039150604, 0.87656526714078131, 0.82276590205092281, 0.7598451601445787, 0.68828501114912999, 0.60868534583648182, 0.52176247787447139, 0.42834597636238814, 0.32937375243207906, 0.22588534448833064, 0.11901337075840943, 0.0099731446764950698, -0.099949521968675376, -0.20941227153109016, -0.31703181849493733, -0.42140110777252832, -0.52110785216033795, -0.61475425146856222, -0.70097765980614957, -0.77847193249159985, -0.84600915084848771, -0.90246139255836488, -0.94682218813969621, -0.97822728137500836, -0.99597429399523896, -0.99954088350734849, -0.98860097853545059, -0.9630386791909602, -0.92295942146047771, -0.86869802495628545, -0.80082327303127221, -0.72013871347380276, -0.6276794168385581, -0.52470448779900736, -0.41268519236054085, -0.29328863974147795, -0.16835704134703858, -0.039882659401103367, 0.09002134692995295, 0.21915387133951877, 0.34526219919889106, 0.46608122869670787, 0.57937497068616284, 0.68297963205683976, 0.7748475038260193, 0.85309080213204103, 0.91602455057213206, 0.96220754845479073, 0.99048044398756308, 0.99999992642979929, 0.99026806874157036, 0.96115589380530075, 0.91292030397297208, 0.84621360604462514, 0.7620849817471087, 0.66197339661628984, 0.54769160642970061, 0.42140110777252909, 0.2855780849582823, 0.14297062560971963, -0.0034522927617008812, -0.15055930804420603, -0.29512169978712482, -0.43388373911755923, -0.56363695259073099, -0.68129669877065169, -0.78397929272312616, -0.8690777846452038, -0.9343344109714895, -0.97790769530701704, -0.99843218742645046, -0.9950688952752843, -0.96754459005089155, -0.9161783491799238, -0.84189394582437793, -0.74621699410734765, -0.63125611230023981, -0.49966776553729064, -0.35460488704253801, -0.19964984230321187, -0.038732782291660182, 0.1239630836160234, 0.28410729153688535, 0.43733655464327453, 0.57937497068616117, 0.70615681024133081, 0.81394842128514178, 0.89946560517441376, 0.95998273974085324, 0.99342995728005579, 0.99847483614453048, 0.97458533851213081, 0.92207112396763224, 0.84210088492281143, 0.73669397733007302, 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-4.1594761818964385e-13}; + static constexpr double chirp[4096] = {0.48868479494458483, -0.24383768961808994, -0.44136654651757468, -0.27811859877133177, -0.0019957672736027332, 0.20368816798140194, 0.26657801200272074, 0.20598257532821307, 0.085942900669573052, -0.028803923755435001, -0.098490082091695907, -0.11388994526112922, -0.088237405978596084, -0.044128736238024713, -0.002190427672328521, 0.025178376199838093, 0.034835474047750947, 0.030421759009977234, 0.01860613056692384, 0.0058042233186736403, -0.0037406203887992984, -0.0084328131430197462, -0.0087783933512561862, -0.0063986901431959953, -0.0030910022178124996, -0.00021128346102022855, 0.0015592356541817565, 0.0021469277739304959, 0.001861035031262448, 0.0011445102742566049, 0.00038647005606479157, -0.00017203404123433685, -0.00044884349243839994, -0.0004793493696241824, -0.00035709581355120035, -0.00018172042953967793, -2.6810146792732859e-05, 7.1017687955032827e-05, 0.00010743908475446817, 9.8104275959409737e-05, 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0.99681018406839172, -0.98181490176609587, 0.95543545501483629, -0.91821972742976565, 0.87082630746589307, -0.81401104975190353, 0.74861313603622726, -0.67554086418034687, 0.59575738011179169, -0.51026655193623727, 0.42009916794351077, -0.32629962149455655, 0.22991322613852072, -0.13197428418876367, 0.033495011775771404, 0.064544596608465579, -0.16120590056718792, 0.25559969849245373, -0.34689323744660117, 0.43431613777931327, -0.51716523732758901, 0.59480837388343022, -0.66668713700508486, 0.73231863109454953, -0.79129630097597814, 0.84328987898598229, -0.88804451885015401, 0.92537918647266371, -0.95518438120999571, 0.97741926337551077, -0.99210826470124946, 0.99933725834439069, -0.99924936394546471, 0.99204046126011347, -0.97795448314166766, 0.95727855528406347, -0.93033804620472571, 0.89749158659105743, -0.85912611245657833, 0.81565198163089891, -0.76749820803678181, 0.71510785307095803, -0.65893360828611791, 0.59943359851147426, -0.53706742961326359, 0.47229250036797077, -0.40556059337708561, 0.33731475568832658, -0.26798647581542334, 0.19799316011916088, -0.12773590819776875, 0.057597583870439673, 0.012058824413637204, -0.080891562207874745, 0.14858119735021458, -0.21483145021039513, 0.27936977964931664, -0.34194773967444725, 0.40234112252672499, -0.46034990467074399, 0.51579801256906754, -0.56853292518331633, 0.618425130270014, -0.66536745127857255, 0.70927426131632498, -0.75008060024162082, 0.78774121025119648, -0.82222950474727918, 0.85353648446468999, -0.88166961397488497, 0.90665167091995613, -0.92851957930928375, 0.94732323735559865, -0.96312434942253278, 0.97599527063317237, -0.98601787187650947, 0.99328243200665067, -0.99788656313905222, 0.99993417417809605, -0.99953447685212793, 0.99680103780602858, -0.991850879599526, 0.98480363276405847, -0.97578074049000485, 0.96490471692970103, -0.95229845958746262, 0.93808461580686031, -0.92238500293843473, 0.90532008140291131, -0.8870084795230857, 0.86756656873926197, -0.84710808755406486, 0.82574381234690741, -0.80358127306107174, 0.78072451158723655, -0.75727388060250156, 0.73332588053575787, -0.70897303225366026, 0.68430378310570128, -0.65940244390320257, 0.6343491544256642, -0.60921987513940423, 0.58408640279539803, -0.55901640766265093, 0.5340734902369384, -0.50931725530665584, 0.48480340139739436, -0.46058382366250927, 0.43670672839365821, -0.41321675746575015, 0.39015512105715267, -0.36755973716801582, 0.34546537651714487, -0.32390381146090486, 0.3029039677944827, -0.28249207826621126, 0.26269183677377661, -0.24352455236272377, 0.2250093021071054, -0.20716308215761711, 0.19000095626213748, -0.17353620108525272, 0.15778044786578854, -0.14274381986504187, 0.12843506517543896, -0.11486168457668591, 0.10203005404018553, -0.089945541665902962, 0.078612618801663287, -0.068034965091135019, 0.058215567385415251, -0.04915681230900705, 0.040860572353380378, -0.033328285501484436, 0.026561028207117518, -0.020559581734385594, 0.015324491842860118, -0.010856121682627451, 0.0071546980042600117, -0.0042203506078823724, 0.0020531449851928698, -0.0006531082518807321, 2.024826602988191e-05}; +}; + +struct case_hp_zeta_5_100Hz_1000Hz_z50 +{ + static constexpr int order = 5; + static constexpr double cutoff_hz = 100.0; + static constexpr double sample_rate_hz = 1000.0; + + static constexpr double b[6] = {1, -4.2210526038463358, 7.3678988368430733, -6.6160055540350484, 3.0371638665855096, -0.56800454554719815}; + static constexpr double a[6] = {1, -3.0331391226656566, 3.9625740593237566, -2.7360955893485062, 0.99603408193190124, -0.15183580198064983}; + static constexpr double step[256] = {1, -0.1879134811806793, -0.38569555777243414, -0.15831093148394393, 0.10598934877357991, 0.23250334999526423, 0.20770444830081747, 0.09780242335874556, -0.019850782775677089, -0.09494858969505815, -0.11331368284914012, -0.087646560763828596, -0.041996804091000595, 0.0014447425449417572, 0.029435878076951916, 0.038744831408220382, 0.033351933131603673, 0.020355534257697538, 0.0064914504370037207, -0.0038385150187543182, -0.009007725231981123, -0.0095608432205009919, -0.007183140300136337, -0.0037389854486007401, -0.00064734126604548692, 0.0013540026491893897, 0.002144768777495365, 0.0020023578017727139, 0.0013563674510344015, 0.00060093012402751, -4.0361796012078344e-06, -0.00035108534227434873, -0.00045165337077124335, -0.00038237095675297539, -0.00023541455419628932, -8.5558525785067729e-05, 2.3688031542512533e-05, 7.9041719735162275e-05, 8.8205966602750152e-05, 6.8619868600183764e-05, 3.8291699518744338e-05, 1.044114130621665e-05, -8.1685272603770898e-06, -1.6335229279906827e-05, -1.6331553100545904e-05, -1.1741869942571981e-05, -5.8730146008656448e-06, -9.401613043635848e-07, 2.0802475746428684e-06, 3.1815979406601969e-06, 2.9016093794353992e-06, 1.9301224956080887e-06, 8.4689646007163333e-07, 6.4581540115682401e-09, -4.6232317574279591e-07, -5.9259135598566104e-07, -4.9822811654109955e-07, -3.0581179721878016e-07, -1.1322029136451306e-07, 2.5233224842935442e-08, 9.4724963872749868e-08, 1.0649403936469071e-07, 8.3035158304767265e-08, 4.6719179191967442e-08, 1.3532691855999701e-08, -8.5785916148495289e-09, -1.835245466708102e-08, -1.8571690407753749e-08, -1.3464783954475479e-08, -6.863617230123964e-09, -1.2998886411708099e-09, 2.1253905302387466e-09, 3.4095339884743225e-09, 3.1549149959175793e-09, 2.1266282068665987e-09, 9.6325525333895712e-10, 5.361444621598821e-11, -4.6040415924153422e-10, -6.1252736216488302e-10, -5.2333648525859644e-10, -3.2702196506306791e-10, -1.2735723586843051e-10, 1.7851053968342967e-11, 9.2300833642866564e-11, 1.0702772001991434e-10, 8.4922291421207774e-11, 4.8902659699479045e-11, 1.5431211863869976e-11, -7.2075678758665163e-12, -1.7540635610657773e-11, -1.8235635224073121e-11, -1.3470113913172099e-11, -7.0659034179243463e-12, -1.5729639812889218e-12, 1.8736123763574142e-12, 3.2316371800789057e-12, 3.0677682616442326e-12, 2.120525977034049e-12, 1.0129674876679928e-12, 1.2922996006636822e-13, -3.8413716652030416e-13, -5.5244697705347789e-13, -4.8627768478581856e-13, -3.1130653610489389e-13, -1.2612133559741778e-13, 1.3766765505351941e-14, 9.1482377229112899e-14, 1.1501910535116622e-13, 1.0302869668521453e-13, 7.460698725481052e-14, 4.4408920985006262e-14, 2.0872192862952943e-14, 7.5495165674510645e-15, 3.5527136788005009e-15, 5.3290705182007514e-15, 9.7699626167013776e-15, 1.4654943925052066e-14, 1.865174681370263e-14, 2.0872192862952943e-14, 2.0872192862952943e-14, 1.9095836023552692e-14, 1.6875389974302379e-14, 1.5543122344752192e-14, 1.5987211554602254e-14, 1.8207657603852567e-14, 2.1316282072803006e-14, 2.3980817331903381e-14, 2.4868995751603507e-14, 2.3980817331903381e-14, 2.2204460492503131e-14, 2.042810365310288e-14, 1.9539925233402755e-14, 1.9984014443252818e-14, 2.1316282072803006e-14, 2.2204460492503131e-14, 2.1316282072803006e-14, 1.865174681370263e-14, 1.5543122344752192e-14, 1.3322676295501878e-14, 1.2878587085651816e-14, 1.4210854715202004e-14, 1.6431300764452317e-14, 1.7763568394002505e-14, 1.8207657603852567e-14, 1.7763568394002505e-14, 1.6431300764452317e-14, 1.4210854715202004e-14, 1.1102230246251565e-14, 8.8817841970012523e-15, 8.4376949871511897e-15, 8.8817841970012523e-15, 9.3258734068513149e-15, 9.7699626167013776e-15, 1.021405182655144e-14, 1.0658141036401503e-14, 1.021405182655144e-14, 8.8817841970012523e-15, 7.5495165674510645e-15, 7.1054273576010019e-15, 8.4376949871511897e-15, 1.1546319456101628e-14, 1.4654943925052066e-14, 1.5987211554602254e-14, 1.5543122344752192e-14, 1.4210854715202004e-14, 1.2878587085651816e-14, 1.2434497875801753e-14, 1.3766765505351941e-14, 1.6875389974302379e-14, 2.0872192862952943e-14, 2.4424906541753444e-14, 2.6201263381153694e-14, 2.6201263381153694e-14, 2.4424906541753444e-14, 2.0872192862952943e-14, 1.6431300764452317e-14, 1.2434497875801753e-14, 1.1102230246251565e-14, 1.3322676295501878e-14, 1.8207657603852567e-14, 2.3092638912203256e-14, 2.5757174171303632e-14, 2.4868995751603507e-14, 2.042810365310288e-14, 1.4210854715202004e-14, 9.3258734068513149e-15, 7.9936057773011271e-15, 1.021405182655144e-14, 1.4210854715202004e-14, 1.7319479184152442e-14, 1.865174681370263e-14, 1.9095836023552692e-14, 1.9539925233402755e-14, 1.9984014443252818e-14, 2.042810365310288e-14, 2.1316282072803006e-14, 2.2204460492503131e-14, 2.3092638912203256e-14, 2.3980817331903381e-14, 2.4868995751603507e-14, 2.5757174171303632e-14, 2.6645352591003757e-14, 2.7533531010703882e-14, 2.8421709430404007e-14, 2.8421709430404007e-14, 2.6645352591003757e-14, 2.2204460492503131e-14, 1.5987211554602254e-14, 9.3258734068513149e-15, 4.4408920985006262e-15, 1.7763568394002505e-15, 8.8817841970012523e-16, 1.7763568394002505e-15, 4.4408920985006262e-15, 7.9936057773011271e-15, 1.1102230246251565e-14, 1.3322676295501878e-14, 1.4654943925052066e-14, 1.5987211554602254e-14, 1.8207657603852567e-14, 2.1316282072803006e-14, 2.3980817331903381e-14, 2.4868995751603507e-14, 2.3980817331903381e-14, 2.2204460492503131e-14, 2.042810365310288e-14, 1.9539925233402755e-14, 1.9984014443252818e-14, 2.1316282072803006e-14, 2.2204460492503131e-14, 2.1316282072803006e-14, 1.865174681370263e-14, 1.5543122344752192e-14, 1.3322676295501878e-14, 1.2878587085651816e-14, 1.4210854715202004e-14, 1.6431300764452317e-14, 1.7763568394002505e-14, 1.8207657603852567e-14, 1.7763568394002505e-14, 1.6431300764452317e-14, 1.4210854715202004e-14, 1.1102230246251565e-14, 8.8817841970012523e-15, 8.4376949871511897e-15, 8.8817841970012523e-15, 9.3258734068513149e-15, 9.7699626167013776e-15, 1.021405182655144e-14, 1.0658141036401503e-14, 1.021405182655144e-14, 8.8817841970012523e-15, 7.5495165674510645e-15, 7.1054273576010019e-15, 8.4376949871511897e-15, 1.1546319456101628e-14}; + static constexpr double impulse[256] = {1, -1.1879134811806793, -0.19778207659175484, 0.22738462628848966, 0.26430028025752184, 0.12651400122168066, -0.024798901694450037, -0.10990202494207406, -0.1176532061344237, -0.075097806919381171, -0.018365093154081163, 0.02566712208531334, 0.045649756672829639, 0.043441546635942824, 0.02799113553200884, 0.0093089533312658984, -0.0053928982766194601, -0.012996398873907342, -0.013864083820692132, -0.010329965455753924, -0.0051692102132209379, -0.00055311798851350943, 0.002377702920369389, 0.0034441548515370592, 0.0030916441825522877, 0.0020013439152280653, 0.00079076612829721837, -0.0001424109757307496, -0.00064599035074328103, -0.00075543732700763307, -0.0006049663036253785, -0.0003470491626674818, -0.000100568028490477, 6.9282414024776531e-05, 0.00014695640256229422, 0.0001498560284142328, 0.00010924655732711102, 5.5353688188432303e-05, 9.1642468612585491e-06, -1.9586098008805331e-05, -3.0328169085611274e-05, -2.7850558213454531e-05, -1.8609668564691697e-05, -8.1667020166867351e-06, 3.6761813920131552e-09, 4.5896831577721138e-06, 5.8688553400177742e-06, 4.9328532937505005e-06, 3.0204088756556264e-06, 1.1013503628192692e-06, -2.7998856354941223e-07, -9.7148688571020208e-07, -1.0832260369519522e-06, -8.4043830644755386e-07, -4.687813287179465e-07, -1.3026817826491678e-07, 9.4363242183351095e-08, 1.9241632261768329e-07, 1.92591508460289e-07, 1.3845351748687896e-07, 6.9491738106631946e-08, 1.176907288898559e-08, -2.3458884474238819e-08, -3.6315981113930189e-08, -3.3186486296311719e-08, -2.2111279492921174e-08, -9.7738578318810923e-09, -2.1923044290477063e-10, 5.1069100689876143e-09, 6.6011674958718719e-09, 5.5637262343302021e-09, 3.4252741942933097e-09, 1.2841376730480876e-09, -2.546236637349722e-10, -1.0282894037237613e-09, -1.1633732743954398e-09, -9.0964039340267161e-10, -5.1401928787187996e-10, -1.5212476646590086e-10, 8.9189132160762107e-11, 1.9631391307587495e-10, 1.9966571688663342e-10, 1.4521039032643296e-10, 7.4453356052530141e-11, 1.4731703751108939e-11, -2.2100500413232019e-11, -3.6015954024366013e-11, -3.3469123970280642e-11, -2.2638299874536023e-11, -1.0334671846493528e-11, -6.978096447811774e-13, 4.7626733031283682e-12, 6.4010300168098306e-12, 5.4898759618032402e-12, 3.444000479844879e-12, 1.3561850969627662e-12, -1.6528321705716833e-13, -9.4839439165472573e-13, -1.1077952192329649e-12, -8.821286892658275e-13, -5.1025098264005696e-13, -1.6365834261343141e-13, 7.1321940990927409e-14, 1.7916947310984826e-13, 1.8733124792483127e-13, 1.3890799865474418e-13, 7.3349867046926814e-14, 1.6973642924755755e-14, -1.8489264465173453e-14, -3.2561091486468295e-14, -3.102349128367173e-14, -2.1430414579448808e-14, -1.0165661642856851e-14, -1.1728742437761601e-15, 4.0455487781839916e-15, 5.7390379729338974e-15, 5.0388591899772368e-15, 3.2359174465989954e-15, 1.3431028104394653e-15, -6.3962722211435727e-17, -8.0985679170384676e-16, -9.8609845614254952e-16, -8.0331246776747234e-16, -4.7727576358449571e-16, -1.6558514623930569e-16, 5.0280489806443423e-17, 1.5318056060637939e-16, 1.6573233254867115e-16, 1.2573303306843968e-16, 6.8532961132987336e-17, 1.8164373906704812e-17, -1.427102207413067e-17, -2.7821224073262931e-17, -2.7306587089425933e-17, -1.9314475720890167e-17, -9.5282201212773595e-18, -1.5347739573927713e-18, 3.2288766520401441e-18, 4.8969250604616423e-18, 4.4169069340727814e-18, 2.9091424001314461e-18, 1.2708630206734893e-18, 2.4846537866341575e-20, -6.5669544208652479e-19, -8.4006255106643314e-19, -7.0195067542887807e-19, -4.2887097797931105e-19, -1.5992160948449541e-19, 3.0785427579968522e-20, 1.2526094022778315e-19, 1.4097237832541504e-19, 1.0963436073493013e-19, 6.1703524448366536e-20, 1.8345167192272296e-20, -1.0285448284113255e-20, -2.2859443846968339e-20, -2.3197284093905413e-20, -1.6823928053475708e-20, -8.6238714512536116e-21, -1.7542418245634585e-21, 2.4543980287994883e-21, 4.0351346897185616e-21, 3.7488128887796328e-21, 2.5344908174950046e-21, 1.1620079735989878e-21, 9.2068505792450578e-23, -5.1194441133063187e-22, -6.934972271440751e-22, -5.9552079363395124e-22, -3.7426109793384394e-22, -1.4897205685344576e-22, 1.4797911130213037e-23, 9.9044091216599354e-23, 1.1653033325408266e-22, 9.3026677487564462e-23, 5.4038364838778837e-23, 1.7714472560276476e-23, -6.900425471616783e-24, -1.8234992913760673e-23, -1.9196606125699946e-23, -1.4287950818225804e-23, -7.5993027344560659e-24, -1.8414857162500186e-24, 1.7858674855873142e-24, 3.2379432639070856e-24, 3.1057613241614625e-24, 2.1562566549279836e-24, 1.0343511019121912e-24, 1.3672074401974626e-25, -3.8608390101971635e-25, -5.58868126944859e-25, -4.9400969637046177e-25, -3.1933324498373446e-25, -1.3483694008074433e-25, 2.775026377555964e-27, 7.6186423076115368e-26, 9.4219452937389776e-26, 7.7295070971071894e-26, 4.6311384020916469e-26, 1.6511931559157639e-26, -4.2205602662959102e-27, -1.4201563426269266e-26, -1.5564369669787982e-26, -1.1896728517279134e-26, -6.5553760061199891e-27, -1.8228937826143011e-27, 1.2428229213383316e-27, 2.5431895798466075e-27, 2.5244869107053244e-27, 1.8003488319417343e-27, 9.0097739657205658e-28, 1.6161322938293339e-28, -2.8239552555589342e-28, -4.4169032746581749e-28, -4.0255256950092508e-28, -2.6760012451933478e-28, -1.1921675199564534e-28, -5.5771240382966618e-30, 5.7201169270111928e-29, 7.4827394224376194e-29, 6.3151151482286692e-29, 3.8998638340052273e-29, 1.4960963079037188e-29, -2.214172673766523e-30, -1.083503738523857e-29, -1.241109470013557e-29, -9.748366499019415e-30, -5.5569666300064365e-30, -1.7284943159935776e-30, 8.2139222666756223e-31, 1.9615485084197368e-30, 2.0202734280320749e-30, 1.4802895502953912e-30, 7.7084331831079993e-31, 1.7092684936990215e-31, -2.002930117231719e-31, -3.4339487295666117e-31, -3.2324159834171772e-31, -2.2093730232601613e-31, -1.0337451885645114e-31, -1.0867439053531694e-32, 4.1981166557501115e-32, 5.8536621460428991e-32, 5.0880234515736895e-32, 3.2364003519920913e-32, 1.3244880596536051e-32, -7.8823597137946854e-34, -8.1141351585224868e-33, -9.7588073224122035e-33, -7.8819858073303464e-33, -4.6420552297791661e-33, -1.5858037806606801e-33, 5.067460176895103e-34, 1.4887794174531464e-33, 1.5956233247107499e-33, 1.2015388096257482e-33}; + static constexpr double chirp_in[4096] = {1, 0.99999992642979929, 0.99999882287700514, 0.99999404081958787, 0.9999811660875062, 0.99995401897637071, 0.99990465453387189, 0.99982336314626385, 0.99969867158853654, 0.99951734473821929, 0.99926438818900221, 0.998923052036508, 0.99847483614453059, 0.99789949723582638, 0.99717505818699503, 0.99627781994202647, 0.99518237649358454, 0.9938616334148932, 0.99228683045801158, 0.99042756876612315, 0.98825184327798898, 0.98572608093165093, 0.98281518530153245, 0.97948258832792745, 0.9756903098201305, 0.97139902543374301, 0.96656814383854717, 0.96115589380530031, 0.95511942194735522, 0.94841490185561306, 0.94099765536237645, 0.93282228666059408, 0.92384282998911005, 0.91401291157120323, 0.90328592646221384, 0.89161523092170281, 0.87895435087564089, 0.86525720697385833, 0.85047835667664762, 0.83457325372130264, 0.81749852522376165, 0.79921226656174948, 0.77967435406322239, 0.75884677538693723, 0.73669397733007314, 0.7131832306305963, 0.68828501114913054, 0.66197339661628929, 0.6342264779166199, 0.60502678364962148, 0.57436171646195799, 0.54222399938345511, 0.50861213012343165, 0.4735308409942906, 0.43699156182725674, 0.39901288293222104, 0.35962101483159181, 0.31885024116901001, 0.27674336086026408, 0.2333521152185779, 0.18873759545291671, 0.14297062560971868, 0.096132115709591626, 0.048313379525507044, -0.00038358883718521143, -0.049845885660697295, -0.099949521968676278, -0.15055930804420456, -0.20152880479580074, -0.25270034875965974, -0.30390515757424702, -0.35496352274746379, -0.4056850964493664, -0.45586927889726703, -0.50530571264738766, -0.55377488976053313, -0.60104887736125978, -0.64689216655377857, -0.69106264898686465, -0.73331272456861973, -0.77339054291489417, -0.81104138006864557, -0.8460091508484886, -0.87803805587175265, -0.9068743608505454, -0.93226830418043516, -0.95397612713425417, -0.97176221914417393, -0.9854013687119787, -0.99468110844139446, -0.99940414055107041, -0.99939082701909576, -0.99448172624942033, -0.98454015586016352, -0.96945475889963473, -0.94914204852736517, -0.92354890398720091, -0.89265498858333392, -0.85647505838693705, -0.81506112859245528, -0.7685044628528731, -0.71693734959881206, -0.66053462833527321, -0.59951492826162256, -0.53414158132492895, -0.46472317204376912, -0.39161368717798556, -0.3152122296164856, -0.23596226275400647, -0.15435035416899404, -0.070904390633105427, 0.013808759593039822, 0.09918615657250443, 0.18459228461860086, 0.2693631422116452, 0.35281092692297711, 0.43422930879702298, 0.51289927740590668, 0.5880955389371294, 0.65909343027171097, 0.72517630714337644, 0.78564335324217838, 0.83981774665942033, 0.88705510950404776, 0.92675215601078931, 0.9583554441811033, 0.98137012613941343, 0.99536858315359633, 0.99999882287700514, 0.99499250904629088, 0.98017248784854372, 0.95545967068985072, 0.92087913039150604, 0.87656526714078131, 0.82276590205092281, 0.7598451601445787, 0.68828501114912999, 0.60868534583648182, 0.52176247787447139, 0.42834597636238814, 0.32937375243207906, 0.22588534448833064, 0.11901337075840943, 0.0099731446764950698, -0.099949521968675376, -0.20941227153109016, -0.31703181849493733, -0.42140110777252832, -0.52110785216033795, -0.61475425146856222, -0.70097765980614957, -0.77847193249159985, -0.84600915084848771, -0.90246139255836488, -0.94682218813969621, -0.97822728137500836, -0.99597429399523896, -0.99954088350734849, -0.98860097853545059, -0.9630386791909602, -0.92295942146047771, -0.86869802495628545, -0.80082327303127221, -0.72013871347380276, -0.6276794168385581, -0.52470448779900736, -0.41268519236054085, -0.29328863974147795, -0.16835704134703858, -0.039882659401103367, 0.09002134692995295, 0.21915387133951877, 0.34526219919889106, 0.46608122869670787, 0.57937497068616284, 0.68297963205683976, 0.7748475038260193, 0.85309080213204103, 0.91602455057213206, 0.96220754845479073, 0.99048044398756308, 0.99999992642979929, 0.99026806874157036, 0.96115589380530075, 0.91292030397297208, 0.84621360604462514, 0.7620849817471087, 0.66197339661628984, 0.54769160642970061, 0.42140110777252909, 0.2855780849582823, 0.14297062560971963, -0.0034522927617008812, -0.15055930804420603, -0.29512169978712482, -0.43388373911755923, -0.56363695259073099, -0.68129669877065169, -0.78397929272312616, -0.8690777846452038, -0.9343344109714895, -0.97790769530701704, -0.99843218742645046, -0.9950688952752843, -0.96754459005089155, -0.9161783491799238, -0.84189394582437793, -0.74621699410734765, -0.63125611230023981, -0.49966776553729064, -0.35460488704253801, -0.19964984230321187, -0.038732782291660182, 0.1239630836160234, 0.28410729153688535, 0.43733655464327453, 0.57937497068616117, 0.70615681024133081, 0.81394842128514178, 0.89946560517441376, 0.95998273974085324, 0.99342995728005579, 0.99847483614453048, 0.97458533851213081, 0.92207112396763224, 0.84210088492281143, 0.73669397733007302, 0.60868534583648282, 0.46166354924637748, 0.29988255844234957, 0.12814889944360713, -0.048313379525509959, -0.2240165573282355, -0.39337772332802823, -0.55089698145210475, -0.69133985418658528, -0.80991791317645134, -0.90246139255836466, -0.96557747552099782, -0.99678810088010106, -0.99464152469519274, -0.95879249417982837, -0.89004674065898659, -0.79036655916348131, -0.66283548908721601, -0.51158150864681218, -0.34165966256345809, -0.15889660674110515, 0.030298881123715433, 0.21915387133951658, 0.40077079795557791, 0.56838039236265869, 0.71559896074412133, 0.83668028795140859, 0.92675215601078997, 0.98202755565343003, 0.9999811660875062, 0.97948258832792812, 0.92087913039150737, 0.82602263024340583, 0.6982368180860713, 0.54222399938345556, 0.36391230372523414, 0.17024729818871898, -0.031065697601372073, -0.23185984575257096, -0.42383465395227493, -0.59890073081561812, -0.74952733250515868, -0.86907778464520447, -0.95211766591071434, -0.99468110844139468, -0.99448172624941999, -0.95105651629515231, -0.86583354565218051, -0.74211726695732327, -0.58498878606033655, -0.4011222042584015, -0.19852211184659407, 0.013808759593047724, 0.22625900242972455, 0.42903908336572988, 0.61263423194927435, 0.76825896913416514, 0.88829153315462384, 0.96666642869321839, 0.99920437022617881, 0.98386102377908657, 0.92087913039150748, 0.81283271986127859, 0.66455703958209811, 0.48296332366677897, 0.27674336086027079, 0.055974700631925785, -0.16835704134703514, -0.38489726725106244, -0.58249718413303753, -0.75079558121367618, -0.8807772378003631, -0.96527750388896616, -0.99940414055107052, -0.98085070531978158, -0.91008053699473446, -0.79036655916348153, -0.62767941683856299, -0.43042453941683434, -0.20903717243428122, 0.024547220293044292, 0.25752199792776376, 0.47690591218475858, 0.6702700665282546, 0.82645479681547807, 0.93623487063973665, 0.99289265158964735, 0.99266256453924517, 0.93501624268541406, 0.82276590205092304, 0.66197339661628929, 0.46166354924637809, 0.23335211521857976, -0.0095895741826257964, -0.2527003487596628, -0.48128300660049478, -0.68129669877065224, -0.84023397604037153, -0.9479273461671317, -0.99723238944639814, -0.98454015586016264, -0.91008053699473168, -0.77799016180242753, -0.59613248546922271, -0.37567331729755787, -0.13043111482230935, 0.12396308361602595, 0.37104727229943907, 0.59459149924435239, 0.77967435406322239, 0.91370141006883898, 0.98729522857459673, 0.99499250904629022, 0.93569463493371918, 0.81283271986127059, 0.63422647791661613, 0.41163671634210847, 0.16003264759379121, -0.1033839317883601, -0.36033676125160785, -0.59273942915648381, -0.78397929272312317, -0.9201297299918394, -0.99100117924590703, -0.99094976176793526, -0.91937694488673249, -0.78087390759575936, -0.58498878606034577, -0.34562217432566072, -0.080084217820004439, 0.19212671735369832, 0.45074058099674741, 0.67622628148098096, 0.8512844415843499, 0.9622075484547904, 0.99999882287700514, 0.96115589380530075, 0.84804809615642662, 0.66884549507132596, 0.43699156182726329, 0.17024729818871992, -0.110630256376269, -0.3834806669755868, -0.62648422584859709, -0.81992136714207986, -0.94780510850409849, -0.99924960424107578, -0.96945475889963539, -0.86021435641350186, -0.67989149721536402, -0.44284765362705225, -0.16835704134703849, 0.12091746343008787, 0.40077079795558007, 0.64747701163478444, 0.83981774665941822, 0.96094386528026088, 0.99990465453387189, 0.95270229095965364, 0.82276590205091937, 0.62078697520272341, 0.36391230372523531, 0.074347571843515148, -0.22252093395631911, -0.50033216089251542, -0.73409463523198404, -0.90246139255836555, -0.98972693214480445, -0.98735610690369835, -0.89489156836093631, -0.72013871347379788, -0.47859081942819004, -0.19212671735370601, 0.11291736677555103, 0.40813786714038369, 0.66570278481121115, 0.8609957613666358, 0.97501319700248934, 0.99627781994202547, 0.92207112396763291, 0.75884677538694123, 0.5217624778744816, 0.23335211521858765, 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-0.00038358883724551112, -4.1594761818964385e-13}; + static constexpr double chirp[4096] = {1, -0.18791355475088001, -0.38569664750039512, -0.15831547779321198, 0.10597780993693617, 0.2324806335449725, 0.20766577387525276, 0.09774213823864164, -0.019939574092144197, -0.09507428711001209, -0.11348626018703345, -0.087877469103597061, -0.042298791723961893, 0.0010578076188079155, 0.02894912755838408, 0.038142441810124272, 0.032617111091065798, 0.019470471237485465, 0.0054372758702417867, -0.0050817622915760863, -0.010461099177531574, -0.011246468058679127, -0.0091241700774568057, -0.0059595536931522641, -0.0031725068410969337, -0.0015016895942769892, -0.0010681946139021736, -0.0015953788959083282, -0.0026543403576327895, -0.0038515733078375858, -0.0049277088673609359, -0.0057757627747357931, -0.0064075355017408908, -0.0068999145791204253, -0.0073452154435834638, -0.0078182233151117275, -0.0083623196053083104, -0.0089905108153168767, -0.0096946564323348028, -0.010456708807276227, 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-0.00133823620640118, 9.2551248241163738e-05}; +}; + +struct case_mz_hp_zeta_5_100Hz_1000Hz_z50 +{ + static constexpr int order = 5; + static constexpr double cutoff_hz = 100.0; + static constexpr double sample_rate_hz = 1000.0; + + static constexpr double b[6] = {0.38943681000405306, -1.9471840500202653, 3.8943681000405306, -3.8943681000405306, 1.9471840500202653, -0.38943681000405306}; + static constexpr double a[6] = {1, -3.0331391226656543, 3.9625740593237504, -2.7360955893484986, 0.99603408193189713, -0.15183580198064905}; + static constexpr double step[256] = {0.38943681000405306, -0.3765312157868077, -0.34862290255136408, -0.057599838417534688, 0.17805482248760951, 0.24861146178702542, 0.1809884400844668, 0.055434767693105513, -0.054908400323451012, -0.11159790932106883, -0.1117610927048962, -0.074740987064687348, -0.026073132095530971, 0.01411248684830646, 0.035996667120429926, 0.039397778596397037, 0.030093967751782635, 0.01563754481896007, 0.0022662347358648471, 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1.0815490281146367e-07, 1.04058818228836e-07, 7.2518221871931132e-08, 3.4701358675448546e-08, 4.0720418148509907e-09, -1.3963190825805327e-08, -1.9972599574202832e-08, -1.7660872986269283e-08, -1.1416588563406549e-08, -4.7664305835581899e-09, 2.3327140219464582e-10, 2.9162774417557102e-09, 3.569468498554329e-09, 2.9230626807930093e-09, 1.7449253153500877e-09, 6.0686278224864054e-10, -1.8843460125594902e-10, -5.7150129073590961e-10, -6.2050120597234582e-10, -4.7253978507910688e-10, -2.5834800965185423e-10, -6.8258509955398949e-11, 5.503775213355766e-11, 1.0700285102416274e-10, 1.0527667626547554e-10, 7.4662054316831927e-11, 3.6880054565813225e-11, 5.8333338159854975e-12, -1.2776446567386301e-11, -1.9341639401204702e-11, -1.7475354496809814e-11, -1.1530776333756876e-11, -5.0361936843046351e-12, -7.3496764230185363e-14, 2.6538771180639742e-12, 3.3928415632544784e-12, 2.8390623185714503e-12, 1.7368328997235949e-12, 6.4637184493676614e-13, -1.3034018309099338e-13, -5.1691984026547289e-13, -5.81534820298657e-13, -4.5252690483721381e-13, -2.5490720645393594e-13, -7.5939254884360707e-14, 4.2854608750531042e-14, 9.6145313932538556e-14, 9.9253938401488995e-14, 7.4162898044960457e-14, 4.0190073491430667e-14, 9.9920072216264089e-15, -1.0658141036401503e-14, -2.0872192862952943e-14, -2.2870594307278225e-14, -1.9539925233402755e-14, -1.3988810110276972e-14, -8.659739592076221e-15, -4.4408920985006262e-15, -1.5543122344752192e-15, 6.6613381477509392e-16, 2.4424906541753444e-15, 3.7747582837255322e-15, 4.4408920985006262e-15, 4.2188474935755949e-15, 3.1086244689504383e-15, 1.3322676295501878e-15, -8.8817841970012523e-16, -3.1086244689504383e-15, -4.8849813083506888e-15, -5.9952043329758453e-15, -5.773159728050814e-15, -4.2188474935755949e-15, -1.7763568394002505e-15, 8.8817841970012523e-16, 3.1086244689504383e-15, 3.9968028886505635e-15, 3.3306690738754696e-15, 1.1102230246251565e-15, -1.9984014443252818e-15, -5.1070259132757201e-15, -7.1054273576010019e-15, -7.3274719625260332e-15, -5.773159728050814e-15, -3.3306690738754696e-15, -6.6613381477509392e-16, 1.5543122344752192e-15, 2.886579864025407e-15, 3.3306690738754696e-15, 2.886579864025407e-15, 1.5543122344752192e-15, -6.6613381477509392e-16, -2.886579864025407e-15, -4.2188474935755949e-15, -3.9968028886505635e-15, -2.4424906541753444e-15, -2.2204460492503131e-16, 1.9984014443252818e-15, 3.3306690738754696e-15, 2.886579864025407e-15, 6.6613381477509392e-16, -2.4424906541753444e-15, -5.1070259132757201e-15, -6.6613381477509392e-15, -6.8833827526759706e-15, -6.2172489379008766e-15, -5.1070259132757201e-15, -4.4408920985006262e-15, -4.6629367034256575e-15, -5.3290705182007514e-15, -5.5511151231257827e-15, -4.4408920985006262e-15, -1.9984014443252818e-15, 1.1102230246251565e-15, 3.7747582837255322e-15, 5.3290705182007514e-15, 5.5511151231257827e-15, 4.4408920985006262e-15, 2.4424906541753444e-15, -2.2204460492503131e-16, -2.886579864025407e-15, -4.6629367034256575e-15, -5.3290705182007514e-15, -4.6629367034256575e-15, -2.6645352591003757e-15, 0, 2.6645352591003757e-15, 4.4408920985006262e-15, 4.6629367034256575e-15, 3.5527136788005009e-15, 1.9984014443252818e-15, 6.6613381477509392e-16, -2.2204460492503131e-16, -6.6613381477509392e-16, -6.6613381477509392e-16, -2.2204460492503131e-16, 6.6613381477509392e-16, 1.9984014443252818e-15, 3.3306690738754696e-15, 3.7747582837255322e-15, 3.1086244689504383e-15, 1.3322676295501878e-15, -1.3322676295501878e-15, -3.9968028886505635e-15, -5.9952043329758453e-15, -6.6613381477509392e-15, -5.9952043329758453e-15, -4.4408920985006262e-15, -2.886579864025407e-15, -1.5543122344752192e-15, -2.2204460492503131e-16, 1.1102230246251565e-15, 2.4424906541753444e-15, 3.3306690738754696e-15, 3.3306690738754696e-15, 1.9984014443252818e-15, -2.2204460492503131e-16, -2.4424906541753444e-15, -3.7747582837255322e-15, -3.9968028886505635e-15, -3.3306690738754696e-15, -1.9984014443252818e-15, -2.2204460492503131e-16, 1.9984014443252818e-15, 4.2188474935755949e-15, 5.773159728050814e-15, 5.9952043329758453e-15, 4.8849813083506888e-15, 2.886579864025407e-15, 6.6613381477509392e-16, -1.5543122344752192e-15, -3.3306690738754696e-15, -4.2188474935755949e-15, -3.9968028886505635e-15, -2.4424906541753444e-15, 2.2204460492503131e-16, 3.3306690738754696e-15, 5.5511151231257827e-15, 6.2172489379008766e-15, 5.1070259132757201e-15, 2.6645352591003757e-15, -4.4408920985006262e-16, -3.1086244689504383e-15, -4.4408920985006262e-15, -3.7747582837255322e-15, -1.3322676295501878e-15, 2.2204460492503131e-15, 5.773159728050814e-15, 8.2156503822261584e-15, 8.8817841970012523e-15, 7.7715611723760958e-15, 5.3290705182007514e-15, 2.4424906541753444e-15, -2.2204460492503131e-16, -2.4424906541753444e-15, -3.7747582837255322e-15, -3.9968028886505635e-15}; + static constexpr double impulse[256] = {0.38943681000405306, -0.76596802579086076, 0.027908313235443405, 0.29102306413382928, 0.2356546609051442, 0.070556639299416135, -0.0676230217025581, -0.12555367239136114, -0.11034316801655697, -0.05668950899761882, -0.00016318338382859121, 0.037020105640208148, 0.048667854969156155, 0.040185618943837403, 0.021884180272123174, 0.0034011114759659594, -0.0093038108446162043, -0.014456422932824177, -0.013371310083095812, -0.0087933339304015964, -0.0034574305311073708, 0.00075862494045689753, 0.0030652153312356691, 0.0035594733026025928, 0.002834481061454475, 0.0015988429408195816, 0.00041885864055431644, -0.00038961319741260734, -0.00074970655519552491, -0.000746182210411515, -0.00053296153964946594, -0.00025934726425901793, -2.8786568574262804e-05, 0.00011152597327506789, 0.00016029448028283272, 0.00014289879880434366, 9.2693114931139504e-05, 3.8030558419198022e-05, -3.6917148875635641e-06, -2.6272799092082633e-05, -3.1633465902340159e-05, -2.5747274583550798e-05, -1.5178529979814465e-05, -4.9572284416371143e-06, 2.1819398525006993e-06, 5.5736733656981664e-06, 5.9051526976893218e-06, 4.4279763926879912e-06, 2.3551954331950554e-06, 5.3424122514769867e-07, -6.3229186995897058e-07, -1.104561596524116e-06, -1.0565801445533232e-06, -7.3237792074020846e-07, -3.45911966904474e-07, -3.3825190205053866e-08, 1.4892711887163481e-07, 2.0834996129005844e-07, 1.8260964653170911e-07, 1.1692636564385798e-07, 4.7642734901320864e-08, -4.0960856470206517e-09, -3.1540597914276205e-08, -3.7816865055570239e-08, -3.0629318876297053e-08, -1.8035233979576174e-08, -6.0094089795121713e-09, 2.3117270471650909e-09, 6.2442852104217671e-09, 6.6501592556153192e-09, 4.9997037345178251e-09, 2.683007306165479e-09, 6.5319155506135932e-10, -6.4640617221997838e-10, -1.1781383606258407e-09, -1.138063383715641e-09, -7.952976286693612e-10, -3.8306663974111762e-10, -4.9000502512896006e-11, 1.479605891564935e-10, 2.141910051754543e-10, 1.9008904189653714e-10, 1.2329604438367924e-10, 5.1965393868725861e-11, -1.7254752893359219e-12, -3.0613866392605523e-11, -3.778124751640454e-11, -3.1045682045089396e-11, -1.8608506824108843e-11, -6.564015044038862e-12, 1.8671911090315873e-12, 5.9452040922582875e-12, 6.4948364409224329e-12, 4.962789489675816e-12, 2.726768782443992e-12, 7.3762207792880283e-13, -5.5543004765682817e-13, -1.1038374536488658e-12, -1.0913808717211318e-12, -7.7665766809713893e-13, -3.8601331782953779e-13, -6.4265399000586548e-14, 1.2912134329988907e-13, 1.979968820770564e-13, 1.7962090971321399e-13, 1.1892612365367436e-13, 5.2329669746627734e-14, 1.3231748875392861e-15, -2.6799108488444667e-14, -3.4531211820670038e-14, -2.8989075645758527e-14, -1.7792747718152737e-14, -6.6834856632950247e-15, 1.2414564313663963e-15, 5.1976915389914003e-15, 5.8799064480791793e-15, 4.5904834782590382e-15, 2.5940658394901228e-15, 7.7743754487179188e-16, -4.2849173070716812e-16, -9.6221446406739e-16, -9.8023492761202816e-16, -7.1321939212019611e-16, -3.6691567550138189e-16, -7.5400075460053019e-17, 1.0404397732588527e-16, 1.7199794587483389e-16, 1.6027819877159166e-16, 1.0865585317296524e-16, 4.9977129160015928e-17, 4.0489778694703743e-18, -2.1991264279036163e-17, -2.9893700162106667e-17, -2.5732422983132533e-17, -1.6208821737901076e-17, -6.4701721831761086e-18, 6.3343809237182328e-19, 4.3023930101693791e-18, 5.0741374328532514e-18, 4.0585935595958608e-18, 2.3620623713277204e-18, 7.7615979060151193e-19, -3.0170304183933716e-19, -7.9993129939146878e-19, -8.4358971017951106e-19, -6.2886226926888953e-19, -3.3497319289919365e-19, -8.1299552496048706e-20, 7.8921842299241651e-20, 1.4329888246980187e-19, 1.3762936431529499e-19, 9.5670481291626784e-20, 4.5941743644269181e-20, 6.0660196462266151e-21, -1.7210534994108641e-20, -2.493199204844721e-20, -2.2060309574735113e-20, -1.4273152797203685e-20, -6.0298427886857624e-21, 1.2989565334417053e-22, 3.4222309764963937e-21, 4.2341571030761776e-21, 3.4761041170312838e-21, 2.0839708591363231e-21, 7.4277623788605215e-22, -1.9173965559472813e-22, -6.423569603157802e-22, -7.0417759836913744e-22, -5.3850868260313893e-22, -2.9680665694976315e-22, -8.2376086811967274e-23, 5.6701099967149282e-23, 1.1576591525250717e-22, 1.1492761933425738e-22, 8.1983588485167968e-23, 4.1021169440967515e-23, 7.3122850912405946e-24, -1.2949724298172283e-23, -2.0224266875064548e-23, -1.8432101457465112e-23, -1.2253459298541676e-23, -5.4547736631534445e-24, -2.4401163440132922e-25, 2.6364209142204832e-24, 3.4449736066694271e-24, 2.907058600249767e-24, 1.7948637290045731e-24, 6.8739870156021792e-25, -1.0432238361111476e-25, -5.0183294755612402e-25, -5.7430529224634463e-25, -4.5098160472546205e-25, -2.5694522738879711e-25, -7.965394409047869e-26, 3.8465655514512188e-26, 9.1272577834111622e-26, 9.392966287530224e-26, 6.8797654796208183e-26, 3.5792686081502626e-26, 7.8787959086374922e-27, -9.3954258985590052e-27, -1.6048658876328995e-26, -1.5095393557876342e-26, -1.0312150836612612e-26, -4.8177902754575953e-27, -4.9435731761384751e-28, 1.9751313000264441e-27, 2.7470732824545816e-27, 2.3859721378472926e-27, 1.5165358339126294e-27, 6.1916872990125407e-28, -3.9395784562710275e-29, -3.8301332951382382e-28, -4.5976455334503725e-28, -3.7105052531360795e-28, -2.1830632910238543e-28, -7.4285408279709741e-29, 2.429334159476402e-29, 7.0509782114581644e-29, 7.5451625498684092e-29, 5.6768030301040103e-29, 3.0648002803480126e-29, 7.9134447092357852e-30, -6.5661260328423684e-30, -1.2504354061978032e-29, -1.2163779583354301e-29, -8.5391517278372095e-30, -4.1720361975519116e-30, -6.4081894826663032e-31, 1.4413044120107611e-30, 2.1542684256999306e-30, 1.9285197631524777e-30, 1.2613802574378212e-30, 5.4543618312586204e-31, 5.802394492159909e-33, -2.8625117934625163e-31, -3.6242591576945582e-31, -3.008711654038944e-31, -1.8261780204577196e-31, -6.7315932411472348e-32, 1.3771095255416147e-32, 5.3502958053516856e-32, 5.9740644772090479e-32, 4.6192328689675839e-32, 2.5832788798155156e-32, 7.5702091983125023e-33, -4.3962680210315263e-33, -9.5893926189044631e-33, -9.6692971014384169e-33, -6.9760985969561994e-33, -3.5534049940204124e-33, -7.0693452904144048e-34, 1.024063414945126e-33, 1.6652379845719351e-33, 1.5388218653079629e-33, 1.0353641426487427e-33}; + static constexpr double chirp_in[4096] = {1, 0.99999992642979929, 0.99999882287700514, 0.99999404081958787, 0.9999811660875062, 0.99995401897637071, 0.99990465453387189, 0.99982336314626385, 0.99969867158853654, 0.99951734473821929, 0.99926438818900221, 0.998923052036508, 0.99847483614453059, 0.99789949723582638, 0.99717505818699503, 0.99627781994202647, 0.99518237649358454, 0.9938616334148932, 0.99228683045801158, 0.99042756876612315, 0.98825184327798898, 0.98572608093165093, 0.98281518530153245, 0.97948258832792745, 0.9756903098201305, 0.97139902543374301, 0.96656814383854717, 0.96115589380530031, 0.95511942194735522, 0.94841490185561306, 0.94099765536237645, 0.93282228666059408, 0.92384282998911005, 0.91401291157120323, 0.90328592646221384, 0.89161523092170281, 0.87895435087564089, 0.86525720697385833, 0.85047835667664762, 0.83457325372130264, 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-0.0034522927602768901, 0.0015343547837478589, -0.00038358883724551112, -4.1594761818964385e-13}; + static constexpr double chirp[4096] = {0.38943681000405306, -0.37653124443775199, -0.34862330461396679, -0.057601259556387729, 0.17805199814832323, 0.24860745504086257, 0.18098398657713083, 0.055430763635547275, -0.054911262907534397, -0.11159934809667765, -0.11176124049886305, -0.074740252942874452, -0.026072011062111822, 0.014113574896362668, 0.035997466141012124, 0.039398208909388055, 0.030094084488951622, 0.015637473645690125, 0.0022661118087520249, -0.0065271673051731094, -0.0099844822615551831, -0.00922572377308023, -0.0061603858399538192, -0.002600813334304064, 0.0002337444389456933, 0.0018326502385430654, 0.0022515687322200439, 0.001862021554430271, 0.0011123928655222826, 0.00036630246570906744, -0.0001665538626515195, -0.00042578442670898609, -0.00045444498251895338, -0.00034278543288568386, -0.00018235087667528571, -3.9305948051793216e-05, 5.3539287709347683e-05, 9.1728010115199599e-05, 8.8200456756892809e-05, 6.2097549690498521e-05, 3.0639177472813195e-05, 5.0714237336824119e-06, -9.9241369023173043e-06, -1.4696088137811092e-05, -1.2327836977965578e-05, -6.5682135430567001e-06, -4.7899185218192031e-07, 4.1295166803845262e-06, 6.6599017490287515e-06, 7.3620225994608379e-06, 6.8881632993011976e-06, 5.9302778102066078e-06, 5.0061370579501663e-06, 4.3893156487784246e-06, 4.1392727588018818e-06, 4.1786759292783415e-06, 4.3751004134284788e-06, 4.602003506090635e-06, 4.7709026126524501e-06, 4.8384490604069796e-06, 4.7975740285616242e-06, 4.662318490646078e-06, 4.453469074572336e-06, 4.1887182960984037e-06, 3.8781263562393475e-06, 3.5238128817532965e-06, 3.1220884230201418e-06, 2.6663462509499136e-06, 2.1495726622161593e-06, 1.5659547196317236e-06, 9.1155466072634361e-07, 1.8429926348928483e-07, -6.1638419790455146e-07, -1.49000201959959e-06, -2.4353218672223953e-06, -3.4505271435669727e-06, -4.533210122642517e-06, -5.6802565405189576e-06, 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5.1904279845971235e-05, 5.8036943955730447e-05, 6.3976446906754969e-05, 6.9627136487948604e-05, 7.4887908370402378e-05, 7.9653179443084365e-05, 8.3814048808528163e-05, 8.7259648941406809e-05, 8.9878686236111172e-05, 9.1561166464915189e-05, 9.2200296523181624e-05, 9.1694549317289376e-05, 8.9949873782801948e-05, 8.6882026853585259e-05, 8.2418998813671429e-05, 7.6503497947078003e-05, 6.9095454844125825e-05, 6.0174501245791046e-05, 4.9742373062100498e-05, 3.782518232822718e-05, 2.447549847184316e-05, 9.7741756501790178e-06, -6.1681398650093033e-06, -2.3209890018804913e-05, -4.1177941136623375e-05, -5.9867443113563977e-05, -7.9042276174418058e-05, -9.8436145251554197e-05, -0.00011775437582664527, -0.0001366764565096934, -0.00015485936321982252, -0.00017194168707324042, -0.00018754857315694817, -0.00020129746045893793, -0.00021280459416206376, -0.00022169226078283533, -0.00022759667432942221, -0.00023017641816142076, -0.00022912132298641419, -0.00022416163693683711, -0.00021507731949538256, 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1.048474590524447, -1.0244250746078301, 0.96887502595784536, -0.88393457005290244, 0.77256605750828289, -0.63846799173686608, 0.48594080752597513, -0.31973948775929495, 0.14491814711643536, 0.033328317580292074, -0.20982059799734876, 0.37954478210413573, -0.53779146511284415, 0.68028057787848539, -0.80326897023267341, 0.90363846015125848, -0.97896275916579789, 1.0275523869586973, -1.0484773721557246, 1.0415681827288064, -1.0073959216576367, 0.94723334784276636, -0.86299872824696289, 0.75718488751984536, -0.6327760916403089, 0.49315558120441816, -0.34200665936804009, 0.183210243145428, -0.020741710901538708, -0.14143026860766367, 0.29944045002590647, -0.44961705408993158, 0.5885632279747034, -0.71322834447155081, 0.82096791225953025, -0.90959122853533025, 0.97739626213282071, -1.0231916008039117, 1.0463056224239695, -1.0465833495982302, 1.0243717148363154, -0.98049419475096111, 0.91621596359324864, -0.83320086711491215, 0.73346162666387338, -0.61930475111853189, 0.49327166232612385, -0.35807753052422725, 0.21654927290515175, -0.071564094778967746, -0.074010147161369749, 0.21737160177202886, -0.35583708194231078, 0.48688985769750331, -0.60822187687894103, 0.71776987009354531, -0.81374496022299447, 0.89465555659148277, -0.9593234665706214, 1.0068933002546907, -1.0368353745093204, 1.0489424392632465, -1.0433206501098675, 1.0203752961508239, -0.98079186009448716, 0.92551303890199943, -0.8557123880324462, 0.77276527126923944, -0.67821780212517335, 0.57375445309200934, -0.46116498689901353, 0.34231133095038735, -0.21909497379356313, 0.09342541249462373, 0.032809876212276962, -0.15777352857984239, 0.27970410118354805, -0.39693930852656611, 0.50793647126174568, -0.61129001891957169, 0.70574595232694748, -0.79021322896471013, 0.86377208852931386, -0.92567938533197225, 0.97537103839627881, -1.0124617488462153, 1.0367421671620023, -1.0481737201150927, 1.0468813286793357, -1.0331442640425019, 1.0073853993201045, -0.97015911994925319, 0.92213815639584218, -0.86409959917295198, 0.79691034866944155, -0.72151224143194348, 0.63890708079181824, -0.55014178359046673, 0.45629383671078733, -0.35845723764749604, 0.25772907288109853, -0.15519686677088562, 0.051926812477064765, 0.051047024613486189, -0.15273246104619878, 0.25218785693823842, -0.34852965376708089, 0.44093877457814135, -0.52866588916681434, 0.61103556156080174, -0.68744931037028956, 0.75738762422402583, -0.82041098453448624, 0.87615995625697485, -0.92435441413204589, 0.96479197722534704, -0.99734572843406322, 1.0219612981153634, -1.0386533922236842, 1.0475018453816802, -1.0486472783262868, 1.042286437243932, -1.028667289747762, 1.0080839488166395, -0.98087149198754431, 0.94740073858520368, -0.9080730429176701, 0.86331515623984234, -0.81357420498776589, 0.75931282740485528, -0.7010045053033489, 0.63912912238506092, -0.57416877534162181, 0.50660385895396565, -0.43690944161708101, 0.36555194318516704, -0.29298612281950298, 0.21965238056928521, -0.14597437285315731, 0.072356938772789245, 0.0008156687654186489, -0.073181255636448575, 0.14440087355508388, -0.21415973426964724, 0.28216786507403468, -0.34816052115940033, 0.41189837121636541, -0.4731674734283613, 0.53177905952748095, -0.58756914468762533, 0.64039798112853175, -0.69014937314113367, 0.736729870855382, -0.78006785967736314, 0.82011256165148638, -0.85683296434044243, 0.89021669205077969, -0.92026883330407383, 0.94701073763826449, -0.97047879382288449, 0.99072320060160934, -1.0078067401719524, 1.0218035635470861, -1.0327979960373956, 1.0408833701576166, -1.0461608922929939, 1.0487385486378344, -1.0487300550463288, 1.0462538546300275, -1.0414321662129198, 1.034390086018963, -1.0252547443316546, 1.0141545182633247, -1.0012183012083531, 0.98657482906914029, -0.97035206288721487, 0.95267662711619105, -0.93367330241111013, 0.9134645715196501, -0.89217021658902085, 0.86990696596586026, -0.84678818841567161, 0.82292363251319001, -0.79841920885343876, 0.77337681266167102, -0.74789418428755849, 0.72206480509127136, -0.69597782619998427, 0.66971802759546084, -0.64336580508777563, 0.61699718274019533, -0.59068384836315269, 0.56449320980385698, -0.53848846980214737, 0.51272871730595393, -0.48726903322194515, 0.46216060865764808, -0.43745087386518522, 0.41318363614933601, -0.38939922514359882, 0.36613464397267759, -0.34342372485863676, 0.32129728793083967, -0.29978330204060488, 0.27890704645183373, -0.25869127246897994, 0.23915636405433549, -0.2203204966260659, 0.2021997933301084, -0.18480847806364881, 0.16815902472133326, -0.15226230213226519, 0.13712771418786768, -0.12276333482571097, 0.10917603747468746, -0.096371618678764176, 0.084354915671356306, -0.073129917619121826, 0.062699870427172011, -0.053067374940199745, 0.044234478361265629, -0.036202758880108009, 0.028973403376413361, -0.022547278135208626, 0.016924992595788467, -0.012106956004922214, 0.0080934270186370418, -0.0048845562484395189, 0.0024804216612108665, -0.00088105691922918828, 8.647260765639949e-05}; +}; + +struct case_tu_hp_zeta_5_100Hz_1000Hz_z50 +{ + static constexpr int order = 5; + static constexpr double cutoff_hz = 100.0; + static constexpr double sample_rate_hz = 1000.0; + + static constexpr double b[6] = {0.38120327461580295, -1.9060163730790154, 3.812032746158033, -3.8120327461580343, 1.9060163730790181, -0.38120327461580389}; + static constexpr double a[6] = {1, -3.0736088609242689, 4.0700996659463566, -2.8460599203735684, 1.0478176408564275, -0.16091869960509264}; + static constexpr double step[256] = {0.38120327461580295, -0.3531433357907332, -0.34974015903936828, -0.077521615875438377, 0.16191084358634167, 0.24916240944671642, 0.19583989717285943, 0.073576151492176445, -0.043940157466830998, -0.11216733045131289, -0.12162515281937258, -0.087932342174135147, -0.03659702502439921, 0.0097160979364938616, 0.03794746901287116, 0.045498161816052152, 0.03724321954780474, 0.021219962545456106, 0.0049302186508828338, -0.0067846834858706906, -0.01222925706290523, -0.012183437815418197, -0.0087337243782343865, -0.0041589694196881855, -0.00018846180387033229, 0.0022895641925233523, 0.0031584144432528216, 0.0028050245336617152, 0.0018109412268423331, 0.00070905956367539602, -0.00014908030191707056, -0.00062101663072833269, -0.00073011979034376395, -0.0005923453600173989, -0.00034611826191710549, -0.00010416980457184088, 6.7807407279962817e-05, 0.000150501612177667, 0.00015747605295746148, 0.00011790123272659159, 6.1962982438323877e-05, 1.1979722263300019e-05, -2.0608223178175678e-05, -3.3948069954270466e-05, -3.2323951985047117e-05, -2.2412956840467402e-05, -1.0423776717560784e-05, -5.5641045082488461e-07, 5.3337317249546601e-06, 7.2749211887934706e-06, 6.3834182932875905e-06, 4.0962329090898919e-06, 1.6356156828933877e-06, -2.417359632467253e-07, -1.2599837750926213e-06, -1.4986413245932084e-06, -1.2206392416835854e-06, -7.2164100117788621e-07, -2.3380842439912897e-07, 1.120505968010832e-07, 2.8003768504092363e-07, 2.9896092024195298e-07, 2.2687341871829858e-07, 1.2249070091563397e-07, 2.8554381081846714e-08, -3.328224407184166e-08, -5.9513470151983938e-08, -5.8031340177677748e-08, -4.1071886558441406e-08, -1.9955821661810091e-08, -2.3268611482052393e-09, 8.4067042216418031e-09, 1.2211533118033913e-08, 1.0995793831014566e-08, 7.2474579670966932e-09, 3.0935012329535994e-09, -1.3763856721027423e-10, -1.9437278453438012e-09, -2.4343513871372124e-09, -2.0379786747071194e-09, -1.2458400977521933e-09, -4.4823478262401295e-10, 1.3075962534969676e-10, 4.2422620971649394e-10, 4.7346282450178023e-10, 3.6993585972311394e-10, 2.0822987778501556e-10, 5.8375082545580881e-11, -4.3070658151123098e-11, -8.8776097584286617e-11, -9.0079277370591626e-11, -6.5781158298250375e-11, -3.3691716083694701e-11, -6.09912120808076e-12, 1.1266321209291164e-11, 1.7995605006149162e-11, 1.6815882020182471e-11, 1.1475709271735468e-11, 5.2600146460690667e-12, 2.7622348852673895e-13, -2.6230129179793948e-12, -3.5345060211966484e-12, -3.0662139494097573e-12, -1.9464430067728244e-12, -7.6916251146030845e-13, 1.1324274851176597e-13, 5.8286708792820718e-13, 6.8811623066267202e-13, 5.5777604757167865e-13, 3.3040237212844659e-13, 1.1168843627729075e-13, -4.0634162701280729e-14, -1.1257661469699087e-13, -1.1879386363489175e-13, -8.5931262105987116e-14, -3.9968028886505635e-14, 4.4408920985006262e-16, 2.5979218776228663e-14, 3.5749181392930041e-14, 3.4194869158454821e-14, 2.6645352591003757e-14, 1.7763568394002505e-14, 1.0880185641326534e-14, 7.5495165674510645e-15, 7.5495165674510645e-15, 9.3258734068513149e-15, 1.1102230246251565e-14, 1.2212453270876722e-14, 1.2434497875801753e-14, 1.1768364061026659e-14, 1.0658141036401503e-14, 9.5479180117763462e-15, 8.659739592076221e-15, 7.7715611723760958e-15, 7.3274719625260332e-15, 7.5495165674510645e-15, 8.4376949871511897e-15, 9.7699626167013776e-15, 1.1546319456101628e-14, 1.3100631690576847e-14, 1.3322676295501878e-14, 1.2212453270876722e-14, 1.0658141036401503e-14, 9.5479180117763462e-15, 9.5479180117763462e-15, 1.0436096431476471e-14, 1.1324274851176597e-14, 1.1546319456101628e-14, 1.1324274851176597e-14, 1.0658141036401503e-14, 9.5479180117763462e-15, 7.7715611723760958e-15, 5.9952043329758453e-15, 5.3290705182007514e-15, 6.4392935428259079e-15, 8.8817841970012523e-15, 1.1546319456101628e-14, 1.354472090042691e-14, 1.4210854715202004e-14, 1.3766765505351941e-14, 1.2878587085651816e-14, 1.1768364061026659e-14, 1.0658141036401503e-14, 9.5479180117763462e-15, 8.659739592076221e-15, 7.7715611723760958e-15, 7.3274719625260332e-15, 7.5495165674510645e-15, 8.4376949871511897e-15, 9.7699626167013776e-15, 1.1546319456101628e-14, 1.3100631690576847e-14, 1.3322676295501878e-14, 1.2212453270876722e-14, 1.0658141036401503e-14, 9.5479180117763462e-15, 9.5479180117763462e-15, 1.0436096431476471e-14, 1.1324274851176597e-14, 1.1546319456101628e-14, 1.1324274851176597e-14, 1.0658141036401503e-14, 9.5479180117763462e-15, 7.7715611723760958e-15, 5.9952043329758453e-15, 5.3290705182007514e-15, 6.4392935428259079e-15, 8.8817841970012523e-15, 1.1546319456101628e-14, 1.354472090042691e-14, 1.4210854715202004e-14, 1.3766765505351941e-14, 1.2878587085651816e-14, 1.1768364061026659e-14, 1.0658141036401503e-14, 9.5479180117763462e-15, 8.659739592076221e-15, 7.7715611723760958e-15, 7.3274719625260332e-15, 7.5495165674510645e-15, 8.4376949871511897e-15, 9.7699626167013776e-15, 1.1546319456101628e-14, 1.3100631690576847e-14, 1.3322676295501878e-14, 1.2212453270876722e-14, 1.0658141036401503e-14, 9.5479180117763462e-15, 9.5479180117763462e-15, 1.0436096431476471e-14, 1.1324274851176597e-14, 1.1546319456101628e-14, 1.1324274851176597e-14, 1.0658141036401503e-14, 9.5479180117763462e-15, 7.7715611723760958e-15, 5.9952043329758453e-15, 5.3290705182007514e-15, 6.4392935428259079e-15, 8.8817841970012523e-15, 1.1546319456101628e-14, 1.354472090042691e-14, 1.4210854715202004e-14, 1.3766765505351941e-14, 1.2878587085651816e-14, 1.1768364061026659e-14, 1.0658141036401503e-14, 9.5479180117763462e-15, 8.659739592076221e-15, 7.7715611723760958e-15, 7.3274719625260332e-15, 7.5495165674510645e-15, 8.4376949871511897e-15, 9.7699626167013776e-15, 1.1546319456101628e-14, 1.3100631690576847e-14, 1.3322676295501878e-14, 1.2212453270876722e-14, 1.0658141036401503e-14, 9.5479180117763462e-15, 9.5479180117763462e-15, 1.0436096431476471e-14, 1.1324274851176597e-14, 1.1546319456101628e-14, 1.1324274851176597e-14, 1.0658141036401503e-14, 9.5479180117763462e-15, 7.7715611723760958e-15, 5.9952043329758453e-15, 5.3290705182007514e-15, 6.4392935428259079e-15, 8.8817841970012523e-15, 1.1546319456101628e-14, 1.354472090042691e-14, 1.4210854715202004e-14, 1.3766765505351941e-14}; + static constexpr double impulse[256] = {0.38120327461580295, -0.73434661040653615, 0.0034031767513647004, 0.27221854316392935, 0.2394324594617796, 0.087251565860374858, -0.053322512273856315, -0.12226374568068213, -0.117516308959007, -0.068227172984481999, -0.0094578223680602813, 0.033692810645236521, 0.051335317149734751, 0.04631312296089192, 0.028231371076376022, 0.0075506928031793819, -0.0082549422682485878, -0.016023257002348783, -0.016289743894572259, -0.011714902136751651, -0.0054445735770328671, 4.5819247488303183e-05, 0.003449713437185148, 0.004574754958548006, 0.0039705076158194196, 0.0024780259963945866, 0.00086885025072937737, -0.00035338990959221011, -0.00099408330682136865, -0.0011018816631688795, -0.00085813986559350524, -0.0004719363288108987, -0.00010910315961420417, 0.0001377744303274466, 0.00024622709810096286, 0.00024194845734547537, 0.00017197721185187374, 8.269420489798705e-05, 6.9744407800643895e-06, -3.9574820230832532e-05, -5.593825028895832e-05, -4.9983260175976777e-05, -3.2587945442412691e-05, -1.3339846776804019e-05, 1.6241179687950956e-06, 9.910995144370935e-06, 1.1989180122964707e-05, 9.8673662674698334e-06, 5.8901421768524237e-06, 1.9411894648168659e-06, -8.9150289492070234e-07, -2.2871853839438424e-06, -2.4606172259626562e-06, -1.8773516459368699e-06, -1.0182478117787449e-06, -2.3865754944098483e-07, 2.7800208295358001e-07, 4.9899824014098194e-07, 4.8783257574220322e-07, 3.4585901969832937e-07, 1.6798708639089372e-07, 1.8923233286048785e-08, -7.2087503372827283e-08, -1.0438271926312945e-07, -9.3936320498475261e-08, -6.183662451919071e-08, -2.6231224233095748e-08, 1.4821320689353417e-09, 1.6959454883747877e-08, 2.1116065098246299e-08, 1.7628960102047987e-08, 1.0733564671531084e-08, 3.8048281721887731e-09, -1.2157397048863102e-09, -3.7483356362362549e-09, -4.1539559708357502e-09, -3.2311391168107161e-09, -1.8060893222950339e-09, -4.9062455313076231e-10, 3.9637108526237044e-10, 7.9213745049245632e-10, 7.9760553651258781e-10, 5.7899644796796162e-10, 2.93469953927187e-10, 4.9239676076093453e-11, -1.0352529530844441e-10, -1.6170662687301948e-10, -1.4985722210610023e-10, -1.0144898930727614e-10, -4.5708217092871847e-11, -1.3044168145828598e-12, 2.4299250429794816e-11, 3.2092384511840915e-11, 2.7595454697711221e-11, 1.7367037435910382e-11, 6.7289901951204463e-12, -1.1817346260549961e-12, -5.3429610380919518e-12, -6.2181488943837925e-12, -4.9851347111722661e-12, -2.8991930101096031e-12, -9.0992891916544129e-13, 4.7095057678930804e-13, 1.1226378866839899e-12, 1.1796459287906361e-12, 8.8378085732573181e-13, 4.7031996713353978e-13, 1.0531141687683506e-13, -1.3067014591953235e-13, -2.279121568987924e-13, -2.1954239708213489e-13, -1.5372121132995632e-13, -7.3706035061091922e-14, -7.9305801370318481e-15, 3.1480697487687648e-14, 4.5009129994409697e-14, 4.0133844517255329e-14, 2.6209169016251798e-14, 1.1044459074133773e-14, -5.9978395770279892e-16, -7.012824603286801e-15, -8.6844506193322174e-15, -7.2117640393306163e-15, -4.3727571178991721e-15, -1.5523685779875558e-15, 4.7229682493607306e-16, 1.4839448436786553e-15, 1.6419812360434737e-15, 1.2741305200308602e-15, 7.1186144190294967e-16, 1.9642022317425135e-16, -1.4907870264276409e-16, -3.0249013784703134e-16, -3.0481701573661744e-16, -2.212709494310583e-16, -1.1255479315234581e-16, -1.9917132092306932e-17, 3.7857698304498109e-17, 5.9887630434653995e-17, 5.5631459349517882e-17, 3.7743351011640043e-17, 1.7153495580153311e-17, 7.7509837604757998e-19, -8.6688337001037309e-18, -1.157546237033981e-17, -9.9895744491252375e-18, -6.3146227166300955e-18, -2.4864915195546294e-18, 3.6171020777237298e-19, 1.864773357211581e-18, 2.1917472102403474e-18, 1.7654579551515566e-18, 1.0338250203577536e-18, 3.3409131675100745e-19, -1.5278019870678934e-19, -3.8422845276637186e-19, -4.0745833051150328e-19, -3.0704603548565314e-19, -1.6503327254451148e-19, -3.9174426044675783e-20, 4.2536072789015101e-20, 7.6649073922012734e-20, 7.4485778820862552e-20, 5.252170663707655e-20, 2.5540551499259725e-20, 3.2546722111093877e-21, -1.0182320308315868e-20, -1.4900386312618998e-20, -1.3402024467281072e-20, -8.8263681529481807e-21, -3.7956678760669708e-21, 8.9196856595454094e-23, 2.2476570316207765e-21, 2.8344681653540219e-21, 2.3745580080246013e-21, 1.4546052151426485e-21, 5.3248471801176163e-22, -1.3391977682453452e-22, -4.7097412162251137e-22, -5.2909019854317841e-22, -4.1432211811065527e-22, -2.344246112403754e-22, -6.8074859462093982e-23, 4.4311966609797081e-23, 9.5076143202455371e-23, 9.7089693258062321e-23, 7.1167610022666936e-23, 3.6783691056978404e-23, 7.2306616255755715e-24, -1.1374544539809381e-23, -1.8648955567888656e-23, -1.7535570024806466e-23, -1.2024241984523844e-23, -5.580346916390266e-24, -4.0889576165061449e-25, 2.6071832345222495e-24, 3.5731180381479448e-24, 3.1193903696514307e-24, 1.9955050794314408e-24, 8.0882887150560979e-25, -8.234064119512576e-26, -5.5934076644673175e-25, -6.7104186897357027e-25, -5.4668504414674372e-25, -3.24572379684516e-25, -1.0953432140105247e-25, 4.1598999373109293e-26, 1.1476526525601832e-25, 1.2381103949071453e-25, 9.43761140982889e-26, 5.1566525829564144e-26, 1.3189764837549921e-26, -1.2004159765290001e-26, -2.2783772641403522e-26, -2.247685164934229e-26, -1.6039832959964112e-26, -7.9604783020940304e-27, -1.2125993700595227e-27, 2.9078647962601966e-27, 4.4069152457798762e-27, 4.0187242790874556e-27, 2.680952929245746e-27, 1.1838952421848219e-27, 1.4901672141629786e-29, -6.4435216060549995e-28, -8.341628910025107e-28, -7.0799274838898335e-28, -4.3993489191698644e-28, -1.6710278595118808e-28, 3.2342748707615461e-29, 1.3506777251565127e-28, 1.5496501821861011e-28, 1.2291145438312049e-28, 7.069037464176259e-29, 2.1730578177805664e-29, -1.1752357993448595e-29, -2.7230749573548729e-29, -2.83087474197411e-29, -2.1020347222014931e-29, -1.1078062618613787e-29, -2.4214290360409231e-30, 3.1015936074717361e-30, 5.3297969053096925e-30, 5.0916062579911842e-30, 3.5386713918629703e-30, 1.6825104637398083e-30, 1.7409951167735343e-31, -7.1901152514725504e-31, -1.0185846143105764e-30, -9.0231023161493484e-31, -5.8563485246204153e-31, -2.4506391876660271e-31, 1.3921127167977752e-32, 1.5501805879766523e-31, 1.9077784735472127e-31, 1.5760059316814492e-31}; + static constexpr double chirp_in[4096] = {1, 0.99999992642979929, 0.99999882287700514, 0.99999404081958787, 0.9999811660875062, 0.99995401897637071, 0.99990465453387189, 0.99982336314626385, 0.99969867158853654, 0.99951734473821929, 0.99926438818900221, 0.998923052036508, 0.99847483614453059, 0.99789949723582638, 0.99717505818699503, 0.99627781994202647, 0.99518237649358454, 0.9938616334148932, 0.99228683045801158, 0.99042756876612315, 0.98825184327798898, 0.98572608093165093, 0.98281518530153245, 0.97948258832792745, 0.9756903098201305, 0.97139902543374301, 0.96656814383854717, 0.96115589380530031, 0.95511942194735522, 0.94841490185561306, 0.94099765536237645, 0.93282228666059408, 0.92384282998911005, 0.91401291157120323, 0.90328592646221384, 0.89161523092170281, 0.87895435087564089, 0.86525720697385833, 0.85047835667664762, 0.83457325372130264, 0.81749852522376165, 0.79921226656174948, 0.77967435406322239, 0.75884677538693723, 0.73669397733007314, 0.7131832306305963, 0.68828501114913054, 0.66197339661628929, 0.6342264779166199, 0.60502678364962148, 0.57436171646195799, 0.54222399938345511, 0.50861213012343165, 0.4735308409942906, 0.43699156182725674, 0.39901288293222104, 0.35962101483159181, 0.31885024116901001, 0.27674336086026408, 0.2333521152185779, 0.18873759545291671, 0.14297062560971868, 0.096132115709591626, 0.048313379525507044, -0.00038358883718521143, -0.049845885660697295, -0.099949521968676278, -0.15055930804420456, -0.20152880479580074, -0.25270034875965974, -0.30390515757424702, -0.35496352274746379, -0.4056850964493664, -0.45586927889726703, -0.50530571264738766, -0.55377488976053313, -0.60104887736125978, -0.64689216655377857, -0.69106264898686465, -0.73331272456861973, -0.77339054291489417, -0.81104138006864557, -0.8460091508484886, -0.87803805587175265, -0.9068743608505454, -0.93226830418043516, -0.95397612713425417, -0.97176221914417393, -0.9854013687119787, -0.99468110844139446, -0.99940414055107041, -0.99939082701909576, -0.99448172624942033, -0.98454015586016352, -0.96945475889963473, -0.94914204852736517, -0.92354890398720091, -0.89265498858333392, -0.85647505838693705, -0.81506112859245528, -0.7685044628528731, -0.71693734959881206, -0.66053462833527321, -0.59951492826162256, -0.53414158132492895, -0.46472317204376912, -0.39161368717798556, -0.3152122296164856, -0.23596226275400647, -0.15435035416899404, -0.070904390633105427, 0.013808759593039822, 0.09918615657250443, 0.18459228461860086, 0.2693631422116452, 0.35281092692297711, 0.43422930879702298, 0.51289927740590668, 0.5880955389371294, 0.65909343027171097, 0.72517630714337644, 0.78564335324217838, 0.83981774665942033, 0.88705510950404776, 0.92675215601078931, 0.9583554441811033, 0.98137012613941343, 0.99536858315359633, 0.99999882287700514, 0.99499250904629088, 0.98017248784854372, 0.95545967068985072, 0.92087913039150604, 0.87656526714078131, 0.82276590205092281, 0.7598451601445787, 0.68828501114912999, 0.60868534583648182, 0.52176247787447139, 0.42834597636238814, 0.32937375243207906, 0.22588534448833064, 0.11901337075840943, 0.0099731446764950698, -0.099949521968675376, -0.20941227153109016, -0.31703181849493733, -0.42140110777252832, -0.52110785216033795, -0.61475425146856222, -0.70097765980614957, -0.77847193249159985, -0.84600915084848771, -0.90246139255836488, -0.94682218813969621, -0.97822728137500836, -0.99597429399523896, -0.99954088350734849, -0.98860097853545059, -0.9630386791909602, -0.92295942146047771, -0.86869802495628545, -0.80082327303127221, -0.72013871347380276, -0.6276794168385581, -0.52470448779900736, -0.41268519236054085, -0.29328863974147795, -0.16835704134703858, -0.039882659401103367, 0.09002134692995295, 0.21915387133951877, 0.34526219919889106, 0.46608122869670787, 0.57937497068616284, 0.68297963205683976, 0.7748475038260193, 0.85309080213204103, 0.91602455057213206, 0.96220754845479073, 0.99048044398756308, 0.99999992642979929, 0.99026806874157036, 0.96115589380530075, 0.91292030397297208, 0.84621360604462514, 0.7620849817471087, 0.66197339661628984, 0.54769160642970061, 0.42140110777252909, 0.2855780849582823, 0.14297062560971963, -0.0034522927617008812, -0.15055930804420603, -0.29512169978712482, -0.43388373911755923, -0.56363695259073099, -0.68129669877065169, -0.78397929272312616, -0.8690777846452038, -0.9343344109714895, -0.97790769530701704, -0.99843218742645046, -0.9950688952752843, -0.96754459005089155, -0.9161783491799238, -0.84189394582437793, -0.74621699410734765, -0.63125611230023981, -0.49966776553729064, -0.35460488704253801, -0.19964984230321187, -0.038732782291660182, 0.1239630836160234, 0.28410729153688535, 0.43733655464327453, 0.57937497068616117, 0.70615681024133081, 0.81394842128514178, 0.89946560517441376, 0.95998273974085324, 0.99342995728005579, 0.99847483614453048, 0.97458533851213081, 0.92207112396763224, 0.84210088492281143, 0.73669397733007302, 0.60868534583648282, 0.46166354924637748, 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-0.65126920047273773, 0.62618519753795332, -0.60104887736144608, 0.57593069136480424, -0.55089698145218191, 0.52601004251397765, -0.50132820166018488, 0.47690591218530526, -0.45279386036808306, 0.4290390833651167, -0.40568509645037554, 0.3827720280763382, -0.36033676125198227, 0.33841307983513402, -0.31703181849472845, 0.29622101515464083, -0.2760060647928777, 0.25640987367073959, -0.23745301300816751, 0.2191538713382635, -0.20152880479604404, 0.18459228461925636, -0.16835704134700888, 0.15283420512977428, -0.13803344170061341, 0.12396308361540023, -0.110630256377754, 0.098040999160336914, -0.086200379880266867, 0.075112604335562244, -0.064781119288953887, 0.055208709333225685, -0.046397587328288914, 0.038349478447046295, -0.03106569760236999, 0.024547220292490568, -0.018794746789342908, 0.013808759594209193, -0.0095895741816169593, 0.0061373830151254354, -0.0034522927602768901, 0.0015343547837478589, -0.00038358883724551112, -4.1594761818964385e-13}; + static constexpr double 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0.32445582547709184, -0.20694297652907542, 0.087120812663326413, 0.033211921335738942, -0.15230466877678422, 0.26847962526346492, -0.38015384931924823, 0.48585871103633815, -0.58425653089561813, 0.6741543192947812, -0.75451458261622828, 0.82446321309215342, -0.88329452671096531, 0.93047355548817889, -0.96563573725947993, 0.98858417750895011, -0.99928468361845124, 0.99785879231856134, -0.98457502612210046, 0.95983862443140167, -0.92418000005697531, 0.87824217244172065, -0.82276742535590497, 0.75858342962361969, -0.68658906104465256, 0.60774013052583387, -0.5230352280179299, 0.43350186462668994, -0.34018307868198439, 0.24412465202544642, -0.14636306270542243, 0.047914280052812286, 0.050236511934716524, -0.1471441965679082, 0.24191196433422651, -0.33369848107279965, 0.4217239716291008, -0.5052752216655243, 0.58370951436023977, -0.65645753132597062, 0.72302525816220564, -0.78299494458508423, 0.83602517708391, -0.88185012853381295, 0.92027805424811193, -0.95118910760643161, 0.9745325507442828, -0.9903234369456414, 0.99863884139787884, -0.99961371601703819, 0.99343644219978744, -0.9803441527141501, 0.96061789065966319, -0.93457766957860799, 0.90257749449620528, -0.8650003990357138, 0.82225354886225266, -0.77476345665699864, 0.72297134869139801, -0.66732871794584203, 0.60829309364751949, -0.54632405214322, 0.48187948926093704, -0.41541216974577178, 0.34736656504268193, -0.27817598668665067, 0.20826001879727432, -0.13802224978623778, 0.067848300304603884, 0.0018958583561880221, -0.070865303561710086, 0.13873728862585621, -0.20521211019367899, 0.27001372925612604, -0.33289016061370258, 0.39361364644185959, -0.45198063030923508, 0.50781154850164523, -0.56095045559239609, 0.61126450130216936, -0.65864327552497048, 0.70299803802430483, -0.7442608489316902, 0.78238361552865343, -0.81733707016842549, 0.84910969345955867, -0.87770659594511469, 0.90314837074163368, -0.92546992863789523, 0.94471932623389909, -0.9609565968407574, 0.97425259283873578, -0.98468784733659676, 0.99235146208040903, -0.99734002763382401, 0.99975658107608179, -0.99970960562470346, 0.99731207582758874, -0.992680551279709, 0.98593432111562462, -0.97719460092864674, 0.9665837831911106, -0.95422474171491234, 0.94024019023066374, -0.92475209472733311, 0.90788113881981758, -0.88974624106587763, 0.87046412288011532, -0.85014892543372433, 0.82891187370335828, -0.80686098569147369, 0.78410082467101871, -0.76073229221340755, 0.73685245969035162, -0.71255443585020772, 0.68792726809489757, -0.66305587505248131, 0.63802100802390127, -0.61289923897728915, 0.58776297276567857, -0.56268048130040593, 0.53771595751448331, -0.51292958699018765, 0.4883776352463573, -0.46411254875559416, 0.44018306783976219, -0.41663434974141178, 0.39350810021345062, -0.37084271210966374, 0.34867340956462389, -0.32703239638707748, 0.30594900749094295, -0.28544986221826518, 0.26555901848037011, -0.24629812682732422, 0.22768658353764223, -0.20974168196352311, 0.19247876145771681, -0.17591135319143905, 0.16005132236651196, -0.14490900630998138, 0.13049334797703649, -0.11681202454750604, 0.10387157073405251, -0.091677496538890846, 0.080234399240396964, -0.069546069339098737, 0.05961559036749059, -0.050445432399577717, 0.042037539092574266, -0.034393408257825393, 0.027514165825048582, -0.021400633146368652, 0.016053387660409892, -0.011472816787343474, 0.0076591651063899133, -0.0046125748054235503, 0.0023331193157494455, -0.00082083022171440252, 7.5717385626664993e-05}; +}; + +struct case_tupw_hp_zeta_5_100Hz_1000Hz_z50 +{ + static constexpr int order = 5; + static constexpr double cutoff_hz = 100.0; + static constexpr double sample_rate_hz = 1000.0; + + static constexpr double b[6] = {0.36884106737490852, -1.8442053368745428, 3.6884106737490865, -3.6884106737490865, 1.8442053368745435, -0.36884106737490868}; + static constexpr double a[6] = {1, -3.0105583111919136, 3.9295778678983422, -2.7177832681294993, 0.9932509286155331, -0.15174378016181186}; + static constexpr double step[256] = {0.36884106737490852, -0.36494672860520683, -0.3350366978236945, -0.047495115487576012, 0.18420919996100138, 0.24910417596397338, 0.17439393695835559, 0.043124373693941953, -0.068627999155991715, -0.12157460750114235, -0.11454260768090685, -0.069986469421900566, -0.016299005838698477, 0.024986410937402281, 0.044384565067844273, 0.043272105944981876, 0.029337234459366757, 0.011616924889684244, -0.0029987899672569984, -0.011190375780895767, -0.012905978472550261, -0.010117587528150063, -0.0054162088978599865, -0.00096381362660857839, 0.0020051925712052387, 0.0031949491849567746, 0.0029639574656699086, 0.0019534767627595873, 0.00077922137628227972, -0.00014416439825359895, -0.00064603977966726234, -0.00075121087925245078, -0.00059224253261191961, -0.00032540171762773795, -7.4202495047748229e-05, 9.3821988884190688e-05, 0.00016392357406735947, 0.00015649080530910631, 0.00010628608784690741, 4.6097862232086229e-05, -2.1514028210045666e-06, -2.9319766548852044e-05, -3.6353012378587124e-05, -2.9734096141265098e-05, -1.7217061618390872e-05, -4.9947072637834822e-06, 3.466668929474892e-06, 7.2885331712235768e-06, 7.3343750763843474e-06, 5.209775632453173e-06, 2.4708009629392791e-06, 1.8621632524862264e-07, -1.1684339096262875e-06, -1.5959571371126913e-06, -1.3707486810066172e-06, -8.4086197893462611e-07, -2.9366070841696512e-07, 1.0263543659405627e-07, 2.9699280190698119e-07, 3.1987840354297248e-07, 2.3898031420443999e-07, 1.2313521624562895e-07, 2.1560081053806357e-08, -4.211755011418461e-08, -6.5692387751781212e-08, -5.9711334987611053e-08, -3.8817042691263737e-08, -1.5653397689163739e-08, 1.9846080334673388e-09, 1.1329642113366845e-08, 1.3261574505207818e-08, 1.0455274424003846e-08, 5.8088169829773051e-09, 1.4930272573820957e-09, -1.3690510947128587e-09, -2.5738184916690443e-09, -2.49420240017173e-09, -1.7172041566482221e-09, -7.7729223058042862e-10, -2.2194468485281504e-11, 4.0743253215680397e-10, 5.2843818210135396e-10, 4.4100767482291303e-10, 2.6254975971085059e-10, 8.5577767094946466e-11, -3.8555381109972586e-11, -9.6647578828878977e-11, -1.0073208933647493e-10, -7.3420380886091152e-11, -3.6587621821126959e-11, -5.2609028244887668e-12, 1.3781864538486843e-11, 2.0366819342143572e-11, 1.8060442030787272e-11, 1.1468825888982792e-11, 4.4237946639213988e-12, -8.0246920219906315e-13, -3.4769964685210653e-12, -3.9415137820242307e-12, -3.0369040615596532e-12, -1.6351364706679306e-12, -3.68816088780477e-13, 4.489741911584133e-13, 7.7582384960805939e-13, 7.3274719625260332e-13, 4.9604764740251994e-13, 2.2093438190040615e-13, 5.9952043329758453e-15, -1.1146639167236572e-13, -1.3944401189291966e-13, -1.0969003483296547e-13, -5.6843418860808015e-14, -7.1054273576010019e-15, 2.5979218776228663e-14, 3.9745984281580604e-14, 3.8191672047105385e-14, 2.8199664825478976e-14, 1.6209256159527285e-14, 6.4392935428259079e-15, 1.3322676295501878e-15, 1.1102230246251565e-15, 4.4408920985006262e-15, 9.1038288019262836e-15, 1.3322676295501878e-14, 1.5987211554602254e-14, 1.6431300764452317e-14, 1.5543122344752192e-14, 1.4654943925052066e-14, 1.4210854715202004e-14, 1.3766765505351941e-14, 1.2878587085651816e-14, 1.1546319456101628e-14, 1.021405182655144e-14, 9.5479180117763462e-15, 9.7699626167013776e-15, 1.0880185641326534e-14, 1.2656542480726785e-14, 1.4876988529977098e-14, 1.6653345369377348e-14, 1.7097434579227411e-14, 1.6209256159527285e-14, 1.4876988529977098e-14, 1.3988810110276972e-14, 1.354472090042691e-14, 1.3100631690576847e-14, 1.2212453270876722e-14, 1.1324274851176597e-14, 1.0880185641326534e-14, 1.0880185641326534e-14, 1.1768364061026659e-14, 1.354472090042691e-14, 1.532107773982716e-14, 1.6209256159527285e-14, 1.5765166949677223e-14, 1.4432899320127035e-14, 1.2656542480726785e-14, 1.0880185641326534e-14, 9.9920072216264089e-15, 1.0658141036401503e-14, 1.2878587085651816e-14, 1.5987211554602254e-14, 1.865174681370263e-14, 1.9984014443252818e-14, 1.9984014443252818e-14, 1.865174681370263e-14, 1.6431300764452317e-14, 1.3766765505351941e-14, 1.1546319456101628e-14, 1.021405182655144e-14, 9.5479180117763462e-15, 9.3258734068513149e-15, 9.5479180117763462e-15, 9.7699626167013776e-15, 9.9920072216264089e-15, 1.0658141036401503e-14, 1.1990408665951691e-14, 1.3766765505351941e-14, 1.5099033134902129e-14, 1.5543122344752192e-14, 1.5099033134902129e-14, 1.3766765505351941e-14, 1.1546319456101628e-14, 9.3258734068513149e-15, 7.7715611723760958e-15, 7.1054273576010019e-15, 6.8833827526759706e-15, 7.1054273576010019e-15, 7.7715611723760958e-15, 8.8817841970012523e-15, 9.9920072216264089e-15, 1.021405182655144e-14, 9.5479180117763462e-15, 8.4376949871511897e-15, 7.7715611723760958e-15, 7.9936057773011271e-15, 8.659739592076221e-15, 8.8817841970012523e-15, 8.2156503822261584e-15, 6.6613381477509392e-15, 4.6629367034256575e-15, 3.1086244689504383e-15, 2.886579864025407e-15, 3.9968028886505635e-15, 5.9952043329758453e-15, 7.9936057773011271e-15, 9.5479180117763462e-15, 1.021405182655144e-14, 1.0436096431476471e-14, 1.1102230246251565e-14, 1.2434497875801753e-14, 1.4210854715202004e-14, 1.5987211554602254e-14, 1.7319479184152442e-14, 1.8207657603852567e-14, 1.865174681370263e-14, 1.865174681370263e-14, 1.8207657603852567e-14, 1.7319479184152442e-14, 1.5987211554602254e-14, 1.4210854715202004e-14, 1.2434497875801753e-14, 1.1102230246251565e-14, 1.0658141036401503e-14, 1.1102230246251565e-14, 1.2434497875801753e-14, 1.4210854715202004e-14, 1.5543122344752192e-14, 1.5987211554602254e-14, 1.5543122344752192e-14, 1.4654943925052066e-14, 1.3766765505351941e-14, 1.2878587085651816e-14, 1.1990408665951691e-14, 1.1546319456101628e-14, 1.1990408665951691e-14, 1.3322676295501878e-14, 1.4654943925052066e-14, 1.5099033134902129e-14, 1.4654943925052066e-14, 1.3322676295501878e-14, 1.1546319456101628e-14, 1.021405182655144e-14, 9.5479180117763462e-15, 9.3258734068513149e-15, 9.5479180117763462e-15, 9.7699626167013776e-15, 9.9920072216264089e-15, 1.0658141036401503e-14, 1.1990408665951691e-14, 1.3766765505351941e-14, 1.5099033134902129e-14, 1.5543122344752192e-14, 1.5099033134902129e-14, 1.3766765505351941e-14, 1.1546319456101628e-14, 9.3258734068513149e-15}; + static constexpr double impulse[256] = {0.36884106737490852, -0.73378779598011534, 0.029910030781512553, 0.28754158233611959, 0.23170431544857994, 0.064894976002976223, -0.074710239005612744, -0.13126956326440878, -0.11175237284992989, -0.052946608345148638, 0.0070319998202357792, 0.044556138259005201, 0.053687463583200423, 0.041285416776099509, 0.019398154130441547, -0.0011124591228623484, -0.013934871485614906, -0.017720309569682204, -0.014615714856940736, -0.0081915858136382136, -0.0017156026916538523, 0.0027883909444010833, 0.0047013786302909678, 0.0044523952712517429, 0.0029690061978131406, 0.0011897566137500891, -0.0002309917192890986, -0.0010104807029128859, -0.0011742553864796637, -0.00092338577453749977, -0.00050187538141437723, -0.00010517109958500977, 0.00015896834664146889, 0.0002668408149855444, 0.00025119922258146792, 0.00016802448393318748, 7.0101585184217095e-05, -7.4327687572379141e-06, -5.0204717461227021e-05, -6.0188225613834269e-05, -4.8249265052077554e-05, -2.7168363727030626e-05, -7.0332458296218619e-06, 6.6189162367857284e-06, 1.251703452164634e-05, 1.2222354352490722e-05, 8.4613761904321234e-06, 3.8218642389880655e-06, 4.5841903604008726e-08, -2.1245994437869878e-06, -2.7389746680749802e-06, -2.2845846359786623e-06, -1.3546502333016701e-06, -4.275232262466398e-07, 2.2520845682261061e-07, 5.2988670235975029e-07, 5.4720127056882538e-07, 3.9629614498890515e-07, 1.9435736522543297e-07, 2.2885601572938266e-08, -8.0898089614331814e-08, -1.1584509894664273e-07, -1.015751362941797e-07, -6.3677631945794111e-08, -2.3574837866443411e-08, 5.9810534006143698e-09, 2.0894293708842955e-08, 2.3163646520052132e-08, 1.7638006302394717e-08, 9.3450337439740474e-09, 1.9319317708969225e-09, -2.8063004187158847e-09, -4.6464578824898812e-09, -4.3157902308643302e-09, -2.862078692481191e-09, -1.2047673835432932e-09, 7.961612112890494e-11, 7.7699821007584894e-10, 9.3991202968781341e-10, 7.5509804748514492e-10, 4.2962718446069382e-10, 1.2100536069189955e-10, -8.7430792650527062e-11, -1.7845794573523201e-10, -1.7697176712256036e-10, -1.2413280967461995e-10, -5.8092214672873586e-11, -4.084924397540391e-12, 2.7311393567971147e-11, 3.6833185910257102e-11, 3.1328031471462619e-11, 1.9044664529641805e-11, 6.5868214543630728e-12, -2.3049444146240837e-12, -6.5907162506468511e-12, -7.0450206965554945e-12, -5.2275094009576727e-12, -2.6770054498454165e-12, -4.6774107497037175e-13, 9.0147515442783657e-13, 1.3996383693590387e-12, 1.2657533545007796e-12, 8.1901574394782788e-13, 3.2936419543863098e-13, -4.0171598886828894e-14, -2.3411818627042892e-13, -2.7324647555227771e-13, -2.1467725201910807e-13, -1.1895812592498286e-13, -3.0721780094429909e-14, 2.7395601851948023e-14, 5.1662206524453055e-14, 4.9963125908963295e-14, 3.4324829825328273e-14, 1.5537042390561391e-14, 5.2560569816875512e-16, -7.9707058229389065e-15, -1.0346944839243999e-14, -8.6236915670223546e-15, -5.1300606032759448e-15, -1.6809642692441739e-15, 7.2861454344014411e-16, 1.852028820491415e-15, 1.9308425094190773e-15, 1.406603448694786e-15, 7.0190570762721801e-16, 1.0441512568864551e-16, -2.5777925313225615e-16, -3.8285609228977161e-16, -3.3959443259300163e-16, -2.1569475081844525e-16, -8.3534911675071488e-17, 1.4314300444103293e-17, 6.4345846311999348e-17, 7.3145647554835679e-17, 5.6501181599697173e-17, 3.0653053091295506e-17, 7.3115625419758475e-18, -7.7716080522507924e-18, -1.3840332778544042e-17, -1.3129218103821466e-17, -8.8719637767382684e-18, -3.9036631981941994e-18, -3.8722688875954487e-21, 2.1564397673030332e-18, 2.7178025959389566e-18, 2.2287329984084689e-18, 1.3021391642690765e-18, 4.0611104654393714e-19, -2.0925663242133945e-19, -4.8817372155348792e-19, -4.9881797990187724e-19, -3.5789679261710404e-19, -1.7460627216925176e-19, -2.1832598393724357e-20, 6.9088813334883075e-20, 9.9035587362823104e-20, 8.644549797924693e-20, 5.4039413917482957e-20, 2.0216264333740336e-20, -4.4331057118041521e-21, -1.6754129923592464e-20, -1.8632757460816384e-20, -1.4186243596889234e-20, -7.5528574720210721e-21, -1.6638065486249196e-21, 2.0800880857273615e-21, 3.5363487746467691e-21, 3.2998589586732307e-21, 2.1977667870292079e-21, 9.4196014767204743e-22, -2.9009583785530275e-23, -5.5675603523234861e-22, -6.8430839189380072e-22, -5.5328123541029733e-22, -3.1803415746934779e-22, -9.450415124778627e-23, 5.6736924571820192e-23, 1.2353088779953591e-22, 1.2403371291788577e-22, 8.7791777590372318e-23, 4.1937892313315366e-23, 4.2809000970432727e-24, -1.7762846533588207e-23, -2.4698033659181043e-23, -2.1252817522894533e-23, -1.3093760770464333e-23, -4.7362678008909307e-24, 1.2695336623556145e-24, 4.2091420568084461e-24, 4.5913940116457993e-24, 3.4502309138817912e-24, 1.8047522485187088e-24, 3.6568424570149431e-25, -5.3571613748803407e-25, -8.7509350017035279e-25, -8.0455197373144886e-25, -5.287192238012214e-25, -2.2091403594185664e-25, 1.3866720543568947e-26, 1.3923321645860129e-25, 1.6734799046413841e-25, 1.3356307643783546e-25, 7.5602712370813027e-26, 2.1386100428695835e-26, -1.4797920854118206e-26, -3.0384196859493626e-26, -3.0026126348783792e-26, -2.0985401164357971e-26, -9.8221778185364346e-27, -7.773356016474093e-28, 4.4358912446970203e-27, 6.0020507767055394e-27, 5.0971972369590322e-27, 3.0973095320230176e-27, 1.0831617380118554e-27, -3.4554365107172714e-28, -1.0308536966747603e-27, -1.1047432241812707e-27, -8.2004072248936995e-28, -4.2166820890817001e-28, -7.8033215619176e-29, 1.3422315729666193e-28, 2.1158973210888505e-28, 1.9187177147126393e-28, 1.2449331489551343e-28, 5.0716020089269929e-29, -4.850917622625872e-30, -3.4020061634696014e-29, -4.0059922664991028e-29, -3.1584642452633589e-29, -1.7613957602825411e-29, -4.7333608153822968e-30, 3.7523690654051028e-30, 7.318547866809321e-30, 7.1257465533896725e-30, 4.9204041640788276e-30, 2.2569125198393541e-30, 1.2593439741157512e-31, -1.0840987940113031e-30, -1.430720857936796e-30, -1.1999952724812159e-30, -7.194843057523963e-31, -2.4307190581636161e-31, 9.0719956191365644e-32, 2.4767871903763276e-31, 2.6107997148802414e-31, 1.9153497224214323e-31, 9.6837872758107408e-32, 1.6202324378851971e-32, -3.2937595454880628e-32, -5.0269523975504854e-32, -4.4994147302111296e-32, -2.8835169951009256e-32, -1.144972706419177e-32, 1.4878101071265726e-33}; + static constexpr double chirp_in[4096] = {1, 0.99999992642979929, 0.99999882287700514, 0.99999404081958787, 0.9999811660875062, 0.99995401897637071, 0.99990465453387189, 0.99982336314626385, 0.99969867158853654, 0.99951734473821929, 0.99926438818900221, 0.998923052036508, 0.99847483614453059, 0.99789949723582638, 0.99717505818699503, 0.99627781994202647, 0.99518237649358454, 0.9938616334148932, 0.99228683045801158, 0.99042756876612315, 0.98825184327798898, 0.98572608093165093, 0.98281518530153245, 0.97948258832792745, 0.9756903098201305, 0.97139902543374301, 0.96656814383854717, 0.96115589380530031, 0.95511942194735522, 0.94841490185561306, 0.94099765536237645, 0.93282228666059408, 0.92384282998911005, 0.91401291157120323, 0.90328592646221384, 0.89161523092170281, 0.87895435087564089, 0.86525720697385833, 0.85047835667664762, 0.83457325372130264, 0.81749852522376165, 0.79921226656174948, 0.77967435406322239, 0.75884677538693723, 0.73669397733007314, 0.7131832306305963, 0.68828501114913054, 0.66197339661628929, 0.6342264779166199, 0.60502678364962148, 0.57436171646195799, 0.54222399938345511, 0.50861213012343165, 0.4735308409942906, 0.43699156182725674, 0.39901288293222104, 0.35962101483159181, 0.31885024116901001, 0.27674336086026408, 0.2333521152185779, 0.18873759545291671, 0.14297062560971868, 0.096132115709591626, 0.048313379525507044, -0.00038358883718521143, -0.049845885660697295, -0.099949521968676278, 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0.09918615657250443, 0.18459228461860086, 0.2693631422116452, 0.35281092692297711, 0.43422930879702298, 0.51289927740590668, 0.5880955389371294, 0.65909343027171097, 0.72517630714337644, 0.78564335324217838, 0.83981774665942033, 0.88705510950404776, 0.92675215601078931, 0.9583554441811033, 0.98137012613941343, 0.99536858315359633, 0.99999882287700514, 0.99499250904629088, 0.98017248784854372, 0.95545967068985072, 0.92087913039150604, 0.87656526714078131, 0.82276590205092281, 0.7598451601445787, 0.68828501114912999, 0.60868534583648182, 0.52176247787447139, 0.42834597636238814, 0.32937375243207906, 0.22588534448833064, 0.11901337075840943, 0.0099731446764950698, -0.099949521968675376, -0.20941227153109016, -0.31703181849493733, -0.42140110777252832, -0.52110785216033795, -0.61475425146856222, -0.70097765980614957, -0.77847193249159985, -0.84600915084848771, -0.90246139255836488, -0.94682218813969621, -0.97822728137500836, -0.99597429399523896, -0.99954088350734849, -0.98860097853545059, -0.9630386791909602, -0.92295942146047771, -0.86869802495628545, -0.80082327303127221, -0.72013871347380276, -0.6276794168385581, -0.52470448779900736, -0.41268519236054085, -0.29328863974147795, -0.16835704134703858, -0.039882659401103367, 0.09002134692995295, 0.21915387133951877, 0.34526219919889106, 0.46608122869670787, 0.57937497068616284, 0.68297963205683976, 0.7748475038260193, 0.85309080213204103, 0.91602455057213206, 0.96220754845479073, 0.99048044398756308, 0.99999992642979929, 0.99026806874157036, 0.96115589380530075, 0.91292030397297208, 0.84621360604462514, 0.7620849817471087, 0.66197339661628984, 0.54769160642970061, 0.42140110777252909, 0.2855780849582823, 0.14297062560971963, -0.0034522927617008812, -0.15055930804420603, -0.29512169978712482, -0.43388373911755923, -0.56363695259073099, -0.68129669877065169, -0.78397929272312616, -0.8690777846452038, -0.9343344109714895, -0.97790769530701704, -0.99843218742645046, -0.9950688952752843, -0.96754459005089155, 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0.56838039236265869, 0.71559896074412133, 0.83668028795140859, 0.92675215601078997, 0.98202755565343003, 0.9999811660875062, 0.97948258832792812, 0.92087913039150737, 0.82602263024340583, 0.6982368180860713, 0.54222399938345556, 0.36391230372523414, 0.17024729818871898, -0.031065697601372073, -0.23185984575257096, -0.42383465395227493, -0.59890073081561812, -0.74952733250515868, -0.86907778464520447, -0.95211766591071434, -0.99468110844139468, -0.99448172624941999, -0.95105651629515231, -0.86583354565218051, -0.74211726695732327, -0.58498878606033655, -0.4011222042584015, -0.19852211184659407, 0.013808759593047724, 0.22625900242972455, 0.42903908336572988, 0.61263423194927435, 0.76825896913416514, 0.88829153315462384, 0.96666642869321839, 0.99920437022617881, 0.98386102377908657, 0.92087913039150748, 0.81283271986127859, 0.66455703958209811, 0.48296332366677897, 0.27674336086027079, 0.055974700631925785, -0.16835704134703514, -0.38489726725106244, -0.58249718413303753, -0.75079558121367618, -0.8807772378003631, -0.96527750388896616, -0.99940414055107052, -0.98085070531978158, -0.91008053699473446, -0.79036655916348153, -0.62767941683856299, -0.43042453941683434, -0.20903717243428122, 0.024547220293044292, 0.25752199792776376, 0.47690591218475858, 0.6702700665282546, 0.82645479681547807, 0.93623487063973665, 0.99289265158964735, 0.99266256453924517, 0.93501624268541406, 0.82276590205092304, 0.66197339661628929, 0.46166354924637809, 0.23335211521857976, -0.0095895741826257964, -0.2527003487596628, -0.48128300660049478, -0.68129669877065224, -0.84023397604037153, -0.9479273461671317, -0.99723238944639814, -0.98454015586016264, -0.91008053699473168, -0.77799016180242753, -0.59613248546922271, -0.37567331729755787, -0.13043111482230935, 0.12396308361602595, 0.37104727229943907, 0.59459149924435239, 0.77967435406322239, 0.91370141006883898, 0.98729522857459673, 0.99499250904629022, 0.93569463493371918, 0.81283271986127059, 0.63422647791661613, 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0.18459228461925636, -0.16835704134700888, 0.15283420512977428, -0.13803344170061341, 0.12396308361540023, -0.110630256377754, 0.098040999160336914, -0.086200379880266867, 0.075112604335562244, -0.064781119288953887, 0.055208709333225685, -0.046397587328288914, 0.038349478447046295, -0.03106569760236999, 0.024547220292490568, -0.018794746789342908, 0.013808759594209193, -0.0095895741816169593, 0.0061373830151254354, -0.0034522927602768901, 0.0015343547837478589, -0.00038358883724551112, -4.1594761818964385e-13}; + static constexpr double chirp[4096] = {0.36884106737490852, -0.36494675574091817, -0.3350370780100807, -0.047496451920038318, 0.18420656965219873, 0.24910050261166761, 0.1743899555949654, 0.04312094362015001, -0.068630253742432645, -0.12157548674612922, -0.11454231927486019, -0.069985469401148193, -0.016297797309125173, 0.024987437258671086, 0.044385207245276781, 0.043272345656186539, 0.029337178855993573, 0.011616731655337387, -0.0029989754999303897, -0.011190456736267784, 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0.63842618324155798, -0.61330516118061529, 0.58816850986422031, -0.56308456752048164, 0.53811759236309942, -0.51332783395284198, 0.48877162024861687, -0.46450145842012391, 0.44056614756751389, -0.41701090164253218, 0.39387748091574498, -0.37120433046615042, 0.34902672428315984, -0.32737691360419841, 0.30628427830526933, -0.28577548020444554, 0.26587461719827987, -0.24660337733924764, 0.22798119195033947, -0.21002538700336959, 0.19275133209116824, -0.17617258630197075, 0.16030104049229654, -0.14514705545392115, 0.13071959549411263, -0.11702635711318797, 0.10407389240283724, -0.091867726892907162, 0.080412471633738297, -0.06971192924238577, 0.059769193810437479, -0.050586744518571661, 0.042166532783116904, -0.034510062930482095, 0.02761846627121043, -0.021492568510014236, 0.016132950517336736, -0.011540002336033441, 0.0077139704643716805, -0.0046549984163869688, 0.0023631604670136326, -0.00083848866788707385, 8.0993084783387737e-05}; +}; + +struct case_hp_zeta_6_100Hz_1000Hz_z50 +{ + static constexpr int order = 6; + static constexpr double cutoff_hz = 100.0; + static constexpr double sample_rate_hz = 1000.0; + + static constexpr double b[7] = {1, -5.0105442157080873, 10.837749014750372, -12.86458606637834, 8.7785857166186627, -3.2466754844156034, 0.50547103513299607}; + static constexpr double a[7] = {1, -3.7494765473618283, 6.286655733012104, -5.952909391101171, 3.3538559663515732, -1.0671368078938053, 0.15183580198064964}; + static constexpr double step[256] = {1, -0.26106766834625894, -0.43831803370855305, -0.086692509997744249, 0.26373935474769805, 0.36187208094212142, 0.22234452947723771, -0.0086248085277027542, -0.18645452592324041, -0.24034667033796442, -0.17993107890069915, -0.06236422651691198, 0.048947506654624995, 0.11290172249619701, 0.11964826403531514, 0.083866956426424721, 0.030969396118505799, -0.015821690642746855, -0.042998041522988917, -0.04813576631522043, -0.036891401352810327, -0.018295650596758417, -0.00060036180468880929, 0.011114178004767439, 0.015423908140947518, 0.013688208862846274, 0.0086115125408960935, 0.0029146495957474983, -0.001502598783615916, -0.003830194609059312, -0.0041807413159400397, -0.0032053241300156188, -0.0016939138998202097, -0.0002882009503997196, 0.00064985755886937113, 0.0010350630564701646, 0.00097528985261696732, 0.00066391406134602704, 0.00028977353055292809, -1.5694224543949531e-05, -0.00019343075200595194, -0.00024466837513692496, -0.00020622755422294858, -0.00012551702980179158, -4.2637190929895041e-05, 1.8109622976325568e-05, 4.8688039658628668e-05, 5.2932807758310219e-05, 4.0558203067142529e-05, 2.1958376350994513e-05, 4.967790750320944e-06, -6.3007327595343554e-06, -1.1071426506248372e-05, -1.0729883594073897e-05, -7.5237414804973923e-06, -3.5632120027884184e-06, -2.8109463201531071e-07, 1.6870123014101068e-06, 2.3454104942643994e-06, 2.0658840602649775e-06, 1.3265164238163152e-06, 5.3131695842978388e-07, -7.2386811211799795e-08, -3.9693995468326193e-07, -4.7084576237921283e-07, -3.8097364285505364e-07, -2.230039752859625e-07, -7.0640332694438257e-08, 3.5733915382252235e-08, 8.609604851272934e-08, 9.0516251383121471e-08, 6.7640295142723517e-08, 3.5723847879864934e-08, 7.6544868221617435e-09, -1.0354561652548e-08, -1.7619526282430797e-08, -1.6776768418935717e-08, -1.1596002380542814e-08, -5.4246820369030502e-09, -4.2883119277803416e-10, 2.5018778160301736e-09, 3.4474947341323059e-09, 3.0114586380136643e-09, 1.9216814806100047e-09, 7.7102146889274081e-10, -9.0524920892676164e-11, -5.4789595083093445e-10, -6.5026029005821329e-10, -5.2503423830785323e-10, -3.0760372027316407e-10, -9.9690922183981456e-11, 4.4472869831224671e-11, 1.1249845499605726e-10, 1.1888179329844206e-10, 8.9061202857010358e-11, 4.7422510363048787e-11, 1.0897061031300836e-11, -1.2511769398315664e-11, -2.2033042057501007e-11, -2.1144863637800881e-11, -1.4713563700752275e-11, -7.0077277314339881e-12, -7.5939254884360707e-13, 2.9238833576528123e-12, 4.148681398419285e-12, 3.6646241596827167e-12, 2.3669954885008337e-12, 9.7966079692923813e-13, -7.0166095156309893e-14, -6.3771210534468992e-13, -7.7537976039820933e-13, -6.3149485640678904e-13, -3.6770586575585185e-13, -1.092459456231154e-13, 7.3718808835110394e-14, 1.6076029396572267e-13, 1.6608936448392342e-13, 1.1990408665951691e-13, 5.3290705182007514e-14, -9.7699626167013776e-15, -5.3290705182007514e-14, -7.1054273576010019e-14, -6.4837024638109142e-14, -4.2632564145606011e-14, -1.5099033134902129e-14, 7.9936057773011271e-15, 2.1316282072803006e-14, 2.3980817331903381e-14, 1.865174681370263e-14, 9.7699626167013776e-15, 1.7763568394002505e-15, -2.6645352591003757e-15, -4.4408920985006262e-15, -6.2172489379008766e-15, -9.7699626167013776e-15, -1.5099033134902129e-14, -2.042810365310288e-14, -2.3092638912203256e-14, -2.042810365310288e-14, -1.2434497875801753e-14, -1.7763568394002505e-15, 7.9936057773011271e-15, 1.5099033134902129e-14, 1.865174681370263e-14, 1.865174681370263e-14, 1.5987211554602254e-14, 1.1546319456101628e-14, 6.2172489379008766e-15, 8.8817841970012523e-16, -4.4408920985006262e-15, -9.7699626167013776e-15, -1.4210854715202004e-14, -1.6875389974302379e-14, -1.5987211554602254e-14, -9.7699626167013776e-15, 8.8817841970012523e-16, 1.2434497875801753e-14, 2.042810365310288e-14, 2.1316282072803006e-14, 1.4210854715202004e-14, 1.7763568394002505e-15, -1.1546319456101628e-14, -2.2204460492503131e-14, -2.8421709430404007e-14, -2.9309887850104133e-14, -2.4868995751603507e-14, -1.5987211554602254e-14, -3.5527136788005009e-15, 9.7699626167013776e-15, 2.042810365310288e-14, 2.5757174171303632e-14, 2.3980817331903381e-14, 1.5987211554602254e-14, 5.3290705182007514e-15, -3.5527136788005009e-15, -7.9936057773011271e-15, -7.9936057773011271e-15, -5.3290705182007514e-15, -1.7763568394002505e-15, 1.7763568394002505e-15, 4.4408920985006262e-15, 5.3290705182007514e-15, 4.4408920985006262e-15, 2.6645352591003757e-15, 1.7763568394002505e-15, 2.6645352591003757e-15, 3.5527136788005009e-15, 1.7763568394002505e-15, -3.5527136788005009e-15, -1.0658141036401503e-14, -1.5987211554602254e-14, -1.5987211554602254e-14, -8.8817841970012523e-15, 4.4408920985006262e-15, 2.042810365310288e-14, 3.3750779948604759e-14, 3.907985046680551e-14, 3.3750779948604759e-14, 1.865174681370263e-14, -1.7763568394002505e-15, -2.042810365310288e-14, -3.0198066269804258e-14, -2.6645352591003757e-14, -1.0658141036401503e-14, 1.2434497875801753e-14, 3.3750779948604759e-14, 4.5297099404706387e-14, 4.2632564145606011e-14, 2.6645352591003757e-14, 3.5527136788005009e-15, -1.7763568394002505e-14, -2.9309887850104133e-14, -2.7533531010703882e-14, -1.4210854715202004e-14, 5.3290705182007514e-15, 2.3092638912203256e-14, 3.1974423109204508e-14, 3.0198066269804258e-14, 2.1316282072803006e-14, 1.0658141036401503e-14, 1.7763568394002505e-15, -4.4408920985006262e-15, -9.7699626167013776e-15, -1.5987211554602254e-14, -2.3092638912203256e-14, -2.8421709430404007e-14, -2.8421709430404007e-14, -2.1316282072803006e-14, -7.9936057773011271e-15, 7.9936057773011271e-15, 2.3092638912203256e-14, 3.3750779948604759e-14, 3.730349362740526e-14, 3.2862601528904634e-14, 2.2204460492503131e-14, 8.8817841970012523e-15, -3.5527136788005009e-15, -1.2434497875801753e-14, -1.5987211554602254e-14, -1.3322676295501878e-14, -5.3290705182007514e-15, 5.3290705182007514e-15, 1.5099033134902129e-14, 2.1316282072803006e-14, 2.3092638912203256e-14, 2.042810365310288e-14, 1.4210854715202004e-14, 5.3290705182007514e-15, -5.3290705182007514e-15, -1.5987211554602254e-14, -2.3092638912203256e-14, -2.3092638912203256e-14, -1.5099033134902129e-14, -1.7763568394002505e-15, 1.1546319456101628e-14, 2.042810365310288e-14}; + static constexpr double impulse[256] = {1, -1.2610676683462589, -0.1772503653622941, 0.35162552371080869, 0.35043186474544186, 0.098132726194422704, -0.13952755146488405, -0.23096933800494091, -0.17782971739554021, -0.05389214441472967, 0.060415591437258137, 0.11756685238378309, 0.11131173317153986, 0.063954215841581508, 0.0067465415391293193, -0.035781307608882908, -0.052897560307917729, -0.046791086761257789, -0.027176350880250638, -0.0051377247922394648, 0.011244364962406685, 0.018595750756055192, 0.017695288792079059, 0.011714539809470015, 0.0043097301361941925, -0.001735699278091158, -0.0050766963219463987, -0.0056968629451508573, -0.0044172483793702179, -0.0023275958254522881, -0.00035054670688924178, 0.00097541718591863998, 0.0015114102301923508, 0.0014057129494182323, 0.00093805850926582945, 0.00038520549759616524, -5.9773203858069692e-05, -0.00031137579127446535, -0.00037414053079491303, -0.0003054677550974104, -0.0001777365274621954, -5.1237623130422679e-05, 3.8440820916989216e-05, 8.0710524427769661e-05, 8.2879838882187406e-05, 6.0746813917969078e-05, 3.0578416692442179e-05, 4.2447681051986218e-06, -1.2374604691511287e-05, -1.8599826721013431e-05, -1.6990585607397384e-05, -1.1268523516235246e-05, -4.7706937518139883e-06, 3.4154290872011886e-07, 3.2061421120749141e-06, 3.9605294787781802e-06, 3.2821173750566838e-06, 1.9681069394148604e-06, 6.5839819729662124e-07, -2.795264342273771e-07, -7.3936764270695043e-07, -7.9519947627476968e-07, -6.0370378146646813e-07, -3.2455315325482566e-07, -7.3905813051332801e-08, 8.9872120853123866e-08, 1.5796967641897793e-07, 1.5236365794693995e-07, 1.0637426637738185e-07, 5.0362149707215226e-08, 4.4202126915834331e-09, -2.2875956640986649e-08, -3.191645731762853e-08, -2.8069377986645658e-08, -1.8009067281704859e-08, -7.2649799295580529e-09, 8.427493039293999e-10, 5.1807644022639416e-09, 6.1713248519706482e-09, 4.9958600411725698e-09, 2.930720261754699e-09, 9.4562764122881196e-10, -4.3602832119157534e-10, -1.0897738484560761e-09, -1.1506614323382045e-09, -8.6155198788834537e-10, -4.5737967148683679e-10, -1.0237433256812612e-10, 1.252170892424615e-10, 2.1742577579080859e-10, 2.0791429271145994e-10, 1.4417127146879235e-10, 6.8036272416312168e-11, 6.3933215272092125e-12, -2.9814476994868744e-11, -4.1637230084514725e-11, -3.6527822336449483e-11, -2.3412791660214169e-11, -9.5248592287294789e-12, 8.8651962890552632e-13, 6.4326071919504211e-12, 7.710011638762099e-12, 6.2528773580734989e-12, 3.6848688780968422e-12, 1.2218571942129049e-12, -4.8976686655525744e-13, -1.3023872623884228e-12, -1.387169338858559e-12, -1.0441208100512367e-12, -5.6024248607562797e-13, -1.3443199736449009e-13, 1.3935036264394762e-13, 2.5182620945673819e-13, 2.4328203586398661e-13, 1.7012078565009047e-13, 8.1778587174958786e-14, 9.9006544903879315e-15, -3.2636193821176565e-14, -4.6971761311210871e-14, -4.1679676725598237e-14, -2.7028837119515192e-14, -1.1331322444544529e-14, 5.2509149259280016e-16, 6.9224028233860191e-15, 8.5048863126497908e-15, 6.9845540132566777e-15, 4.1803586094182129e-15, 1.4575905158479087e-15, -4.5359732375786021e-16, -1.3792057788460499e-15, -1.5009774591701253e-15, -1.1455510989157419e-15, -6.2735498465209037e-16, -1.6545752575950008e-16, 1.3535707171477469e-16, 2.6278319799775626e-16, 2.5890309969941713e-16, 1.8387476951528905e-16, 9.0845055895368063e-17, 1.4120619271012412e-17, -3.2026950527326713e-17, -4.83677486532272e-17, -4.3725017927484274e-17, -2.8861272773741915e-17, -1.2570476179875825e-17, -8.5580431294883645e-20, 6.7920776593334859e-18, 8.6537766380091809e-18, 7.2378892409324107e-18, 4.4223854446535981e-18, 1.6323329557064442e-18, -3.5757200331049959e-19, -1.3479183253365623e-18, -1.511104787197102e-18, -1.1748372825232553e-18, -6.5957378568682941e-19, -1.9142969384924603e-19, 1.189590606384135e-19, 2.5544555773897735e-19, 2.5821202121228005e-19, 1.8696866459466655e-19, 9.5282486092951697e-20, 1.8248451209329184e-20, -2.905134353478652e-20, -4.6745255713576315e-20, -4.3251487918496803e-20, -2.9150891560021056e-20, -1.3223318355070287e-20, -7.867625669369577e-22, 6.234598113540958e-21, 8.3156090125868426e-21, 7.1091228713811829e-21, 4.4458636544278162e-21, 1.7373662048757149e-21, -2.3216313440832058e-22, -1.2426068447705502e-21, -1.4441987438313082e-21, -1.1471446142527761e-21, -6.6152960468924138e-22, -2.0989057420307158e-22, 9.5834896757515191e-23, 2.3568706132980011e-22, 2.4555837982038172e-22, 1.8170621413140398e-22, 9.5631393284833936e-23, 2.1707431456373333e-23, -2.4737780542393826e-23, -4.3093675990430595e-23, -4.0951528172859861e-23, -2.8234782833994843e-23, -1.3338762508505694e-23, -1.4563335569264509e-24, 5.431375395160681e-24, 7.6535124343278606e-24, 6.705876724037205e-24, 4.298114719442796e-24, 1.7739518167868903e-24, -1.0153444903303929e-25, -1.0945149882563656e-24, -1.3266187364631596e-24, -1.0788069224998261e-24, -6.3954102085797351e-25, -2.1995239032285582e-25, 7.0535534185826319e-26, 2.0877244860619e-25, 2.2512024216006314e-25, 1.7050658859375055e-25, 9.2680373956100634e-26, 2.4182059540176156e-26, -1.9911189006160631e-26, -3.8282525970954558e-26, -3.7475114442331643e-26, -2.6462016236188974e-26, -1.3005347622923232e-26, -2.0172074670248665e-27, 4.5273610953163097e-27, 6.808442203173269e-27, 6.127415743893328e-27, 4.028059407438846e-27, 1.7501245225048401e-27, 1.8042286692721233e-29, -9.2845463193162163e-28, -1.1808172882135003e-27, -9.8470419345435567e-28, -6.0023236755857574e-28, -2.2193411162974881e-28, 4.6226197347736331e-29, 1.7885359667514783e-28, 2.0041467760650279e-28, 1.5555785147346713e-28, 8.7288384862006922e-29, 2.5575527747250531e-29, -1.5154886493023885e-29, -3.2992711890836768e-29, -3.3364330706562152e-29, -2.4147859344646533e-29, -1.2328004214790106e-29, -2.4319362225794222e-30, 3.6258885717067603e-30, 5.8900495346107264e-30, 5.4559742991317733e-30, 3.6801264668396005e-30, 1.6775626902365031e-30, 1.1741082486282323e-31, -7.6217356082415181e-31, -1.0241581387067137e-30, -8.7711559462658467e-31, -5.4970991970776846e-31, -2.1692159142586272e-31, 2.4813194698742158e-32, 1.4890227168633786e-31, 1.7414841461439701e-31, 1.3866441053630952e-31, 8.0270308400464212e-32, 2.5944725024632543e-32, -1.083312060216538e-32}; + static constexpr double chirp_in[4096] = {1, 0.99999992642979929, 0.99999882287700514, 0.99999404081958787, 0.9999811660875062, 0.99995401897637071, 0.99990465453387189, 0.99982336314626385, 0.99969867158853654, 0.99951734473821929, 0.99926438818900221, 0.998923052036508, 0.99847483614453059, 0.99789949723582638, 0.99717505818699503, 0.99627781994202647, 0.99518237649358454, 0.9938616334148932, 0.99228683045801158, 0.99042756876612315, 0.98825184327798898, 0.98572608093165093, 0.98281518530153245, 0.97948258832792745, 0.9756903098201305, 0.97139902543374301, 0.96656814383854717, 0.96115589380530031, 0.95511942194735522, 0.94841490185561306, 0.94099765536237645, 0.93282228666059408, 0.92384282998911005, 0.91401291157120323, 0.90328592646221384, 0.89161523092170281, 0.87895435087564089, 0.86525720697385833, 0.85047835667664762, 0.83457325372130264, 0.81749852522376165, 0.79921226656174948, 0.77967435406322239, 0.75884677538693723, 0.73669397733007314, 0.7131832306305963, 0.68828501114913054, 0.66197339661628929, 0.6342264779166199, 0.60502678364962148, 0.57436171646195799, 0.54222399938345511, 0.50861213012343165, 0.4735308409942906, 0.43699156182725674, 0.39901288293222104, 0.35962101483159181, 0.31885024116901001, 0.27674336086026408, 0.2333521152185779, 0.18873759545291671, 0.14297062560971868, 0.096132115709591626, 0.048313379525507044, -0.00038358883718521143, -0.049845885660697295, -0.099949521968676278, -0.15055930804420456, -0.20152880479580074, -0.25270034875965974, -0.30390515757424702, -0.35496352274746379, -0.4056850964493664, -0.45586927889726703, -0.50530571264738766, -0.55377488976053313, -0.60104887736125978, -0.64689216655377857, -0.69106264898686465, -0.73331272456861973, -0.77339054291489417, -0.81104138006864557, -0.8460091508484886, -0.87803805587175265, -0.9068743608505454, -0.93226830418043516, -0.95397612713425417, -0.97176221914417393, -0.9854013687119787, -0.99468110844139446, -0.99940414055107041, -0.99939082701909576, -0.99448172624942033, -0.98454015586016352, -0.96945475889963473, -0.94914204852736517, 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0.0099731446764950698, -0.099949521968675376, -0.20941227153109016, -0.31703181849493733, -0.42140110777252832, -0.52110785216033795, -0.61475425146856222, -0.70097765980614957, -0.77847193249159985, -0.84600915084848771, -0.90246139255836488, -0.94682218813969621, -0.97822728137500836, -0.99597429399523896, -0.99954088350734849, -0.98860097853545059, -0.9630386791909602, -0.92295942146047771, -0.86869802495628545, -0.80082327303127221, -0.72013871347380276, -0.6276794168385581, -0.52470448779900736, -0.41268519236054085, -0.29328863974147795, -0.16835704134703858, -0.039882659401103367, 0.09002134692995295, 0.21915387133951877, 0.34526219919889106, 0.46608122869670787, 0.57937497068616284, 0.68297963205683976, 0.7748475038260193, 0.85309080213204103, 0.91602455057213206, 0.96220754845479073, 0.99048044398756308, 0.99999992642979929, 0.99026806874157036, 0.96115589380530075, 0.91292030397297208, 0.84621360604462514, 0.7620849817471087, 0.66197339661628984, 0.54769160642970061, 0.42140110777252909, 0.2855780849582823, 0.14297062560971963, -0.0034522927617008812, -0.15055930804420603, -0.29512169978712482, -0.43388373911755923, -0.56363695259073099, -0.68129669877065169, -0.78397929272312616, -0.8690777846452038, -0.9343344109714895, -0.97790769530701704, -0.99843218742645046, -0.9950688952752843, -0.96754459005089155, -0.9161783491799238, -0.84189394582437793, -0.74621699410734765, -0.63125611230023981, -0.49966776553729064, -0.35460488704253801, -0.19964984230321187, -0.038732782291660182, 0.1239630836160234, 0.28410729153688535, 0.43733655464327453, 0.57937497068616117, 0.70615681024133081, 0.81394842128514178, 0.89946560517441376, 0.95998273974085324, 0.99342995728005579, 0.99847483614453048, 0.97458533851213081, 0.92207112396763224, 0.84210088492281143, 0.73669397733007302, 0.60868534583648282, 0.46166354924637748, 0.29988255844234957, 0.12814889944360713, -0.048313379525509959, -0.2240165573282355, -0.39337772332802823, -0.55089698145210475, -0.69133985418658528, -0.80991791317645134, -0.90246139255836466, -0.96557747552099782, -0.99678810088010106, -0.99464152469519274, -0.95879249417982837, -0.89004674065898659, -0.79036655916348131, -0.66283548908721601, -0.51158150864681218, -0.34165966256345809, -0.15889660674110515, 0.030298881123715433, 0.21915387133951658, 0.40077079795557791, 0.56838039236265869, 0.71559896074412133, 0.83668028795140859, 0.92675215601078997, 0.98202755565343003, 0.9999811660875062, 0.97948258832792812, 0.92087913039150737, 0.82602263024340583, 0.6982368180860713, 0.54222399938345556, 0.36391230372523414, 0.17024729818871898, -0.031065697601372073, -0.23185984575257096, -0.42383465395227493, -0.59890073081561812, -0.74952733250515868, -0.86907778464520447, -0.95211766591071434, -0.99468110844139468, -0.99448172624941999, -0.95105651629515231, -0.86583354565218051, -0.74211726695732327, -0.58498878606033655, -0.4011222042584015, -0.19852211184659407, 0.013808759593047724, 0.22625900242972455, 0.42903908336572988, 0.61263423194927435, 0.76825896913416514, 0.88829153315462384, 0.96666642869321839, 0.99920437022617881, 0.98386102377908657, 0.92087913039150748, 0.81283271986127859, 0.66455703958209811, 0.48296332366677897, 0.27674336086027079, 0.055974700631925785, -0.16835704134703514, -0.38489726725106244, -0.58249718413303753, -0.75079558121367618, -0.8807772378003631, -0.96527750388896616, -0.99940414055107052, -0.98085070531978158, -0.91008053699473446, -0.79036655916348153, -0.62767941683856299, -0.43042453941683434, -0.20903717243428122, 0.024547220293044292, 0.25752199792776376, 0.47690591218475858, 0.6702700665282546, 0.82645479681547807, 0.93623487063973665, 0.99289265158964735, 0.99266256453924517, 0.93501624268541406, 0.82276590205092304, 0.66197339661628929, 0.46166354924637809, 0.23335211521857976, -0.0095895741826257964, -0.2527003487596628, -0.48128300660049478, -0.68129669877065224, -0.84023397604037153, -0.9479273461671317, -0.99723238944639814, -0.98454015586016264, -0.91008053699473168, -0.77799016180242753, -0.59613248546922271, -0.37567331729755787, -0.13043111482230935, 0.12396308361602595, 0.37104727229943907, 0.59459149924435239, 0.77967435406322239, 0.91370141006883898, 0.98729522857459673, 0.99499250904629022, 0.93569463493371918, 0.81283271986127059, 0.63422647791661613, 0.41163671634210847, 0.16003264759379121, -0.1033839317883601, -0.36033676125160785, -0.59273942915648381, -0.78397929272312317, -0.9201297299918394, -0.99100117924590703, -0.99094976176793526, -0.91937694488673249, -0.78087390759575936, -0.58498878606034577, -0.34562217432566072, -0.080084217820004439, 0.19212671735369832, 0.45074058099674741, 0.67622628148098096, 0.8512844415843499, 0.9622075484547904, 0.99999882287700514, 0.96115589380530075, 0.84804809615642662, 0.66884549507132596, 0.43699156182726329, 0.17024729818871992, -0.110630256376269, -0.3834806669755868, -0.62648422584859709, -0.81992136714207986, -0.94780510850409849, -0.99924960424107578, -0.96945475889963539, -0.86021435641350186, -0.67989149721536402, -0.44284765362705225, -0.16835704134703849, 0.12091746343008787, 0.40077079795558007, 0.64747701163478444, 0.83981774665941822, 0.96094386528026088, 0.99990465453387189, 0.95270229095965364, 0.82276590205091937, 0.62078697520272341, 0.36391230372523531, 0.074347571843515148, -0.22252093395631911, -0.50033216089251542, -0.73409463523198404, -0.90246139255836555, -0.98972693214480445, -0.98735610690369835, -0.89489156836093631, -0.72013871347379788, -0.47859081942819004, -0.19212671735370601, 0.11291736677555103, 0.40813786714038369, 0.66570278481121115, 0.8609957613666358, 0.97501319700248934, 0.99627781994202547, 0.92207112396763291, 0.75884677538694123, 0.5217624778744816, 0.23335211521858765, -0.07855469695947305, -0.38348066697558636, -0.65126920047307302, -0.85508594369616242, -0.97415389500088145, -0.99593983608294245, -0.91755646763273546, -0.74621699410735365, -0.49867062121686356, -0.19964984230321028, 0.12053668025531283, 0.42903908336570928, 0.69383011851338472, 0.88705510950404576, 0.98801617809016951, 0.98546660117894946, 0.878954350875643, 0.67904717547725413, 0.40638618731229703, 0.089639308903445084, -0.23745301300756336, -0.53964301532054448, -0.78397929272311817, -0.94343906000553723, -0.9999855802751384, -0.9466986959828072, -0.78871871430905482, -0.54286844851759386, -0.23596226275400908, 0.098040999161486744, 0.42174894365151211, 0.69851136524894031, 0.89659687467502402, 0.99289265158964801, 0.97569030982012916, 0.84621360604462359, 0.6186796598453691, 0.31885024116900984, -0.018794746789845506, -0.3549635227474629, -0.65010409366874566, -0.86907778464520169, -0.98540136871197892, -0.98454015586016408, -0.86583354565218329, -0.64278760968653159, -0.3416596625634602, 0.0015343547843220864, 0.34526219919889184, 0.64747701163477833, 0.87078037014119347, 0.98711172199712383, 0.98137012613941121, 0.85349083557870198, 0.61867965984537487, 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-0.50132820166018488, 0.47690591218530526, -0.45279386036808306, 0.4290390833651167, -0.40568509645037554, 0.3827720280763382, -0.36033676125198227, 0.33841307983513402, -0.31703181849472845, 0.29622101515464083, -0.2760060647928777, 0.25640987367073959, -0.23745301300816751, 0.2191538713382635, -0.20152880479604404, 0.18459228461925636, -0.16835704134700888, 0.15283420512977428, -0.13803344170061341, 0.12396308361540023, -0.110630256377754, 0.098040999160336914, -0.086200379880266867, 0.075112604335562244, -0.064781119288953887, 0.055208709333225685, -0.046397587328288914, 0.038349478447046295, -0.03106569760236999, 0.024547220292490568, -0.018794746789342908, 0.013808759594209193, -0.0095895741816169593, 0.0061373830151254354, -0.0034522927602768901, 0.0015343547837478589, -0.00038358883724551112, -4.1594761818964385e-13}; + static constexpr double chirp[4096] = {1, -0.26106774191645965, -0.43831911805454671, -0.086696971706062942, 0.26372821854126527, 0.36185046733566595, 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-0.34033773121637889, 0.30945482778896327, -0.27998059637315265, 0.25193220600009292, -0.22532437926542656, 0.20016963247165176, -0.17647850482619903, 0.15425977625755347, -0.13352067336778758, 0.11426706332168723, -0.096503635335969284, 0.080234069501876656, -0.065461192886285324, 0.052187122673732295, -0.04041339627084431, 0.030141088353666405, -0.021370914678233655, 0.014103322718847452, -0.0083385691038077442, 0.0040767837280804879, -0.0013180206609663546, 6.229577717842883e-05}; +}; + +struct case_mz_hp_zeta_6_100Hz_1000Hz_z50 +{ + static constexpr int order = 6; + static constexpr double cutoff_hz = 100.0; + static constexpr double sample_rate_hz = 1000.0; + + static constexpr double b[7] = {0.37691924841016577, -2.2615154904609946, 5.6537887261524862, -7.5383849682033155, 5.6537887261524862, -2.2615154904609946, 0.37691924841016577}; + static constexpr double a[7] = {1, -3.7494765473618239, 6.2866557330120889, -5.9529093911011497, 3.3538559663515568, -1.0671368078937982, 0.15183580198064839}; + static constexpr double step[256] = {0.37691924841016577, -0.47134635988766682, -0.36767119188189157, 0.059191433966462981, 0.34794029947066552, 0.34989749056510044, 0.14980813385457958, -0.08603365773484728, -0.22941592913323028, -0.23872467603437153, -0.14686038379426147, -0.020278646607407858, 0.080992059679188655, 0.12580912652974741, 0.11446246447601749, 0.067932543595222272, 0.013078572666641142, -0.029083090488353669, -0.048803136868639241, -0.04708646882969636, -0.031619924216654383, -0.011879866240488646, 0.0045960753559657341, 0.013944427244131141, 0.015881622997612643, 0.012493966667351142, 0.0067224698899051027, 0.0011431683957627836, -0.0026820325339136364, -0.0042970335698029327, -0.0040702565151491399, -0.0027705158111805961, -0.0011851778123521672, 0.00011957661128758623, 0.00087928496927314193, 0.0010906992290982132, 0.00091002495941250316, 0.00054444432369615825, 0.00017176316510969514, -9.9302714908544587e-05, -0.00023279564425604526, 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2.7421596104915125e-09, 1.5334848946224611e-09, 4.2516390408309235e-10, -3.1546720791197913e-10, -6.418714448841456e-10, -6.4448268943806397e-10, -4.6505510553629392e-10, -2.3417401351366607e-10, -3.939404358277443e-11, 8.0469186869436271e-11, 1.2479217659233655e-10, 1.1447731651514914e-10, 7.6567641116298546e-11, 3.3919533848347783e-11, 6.1639582327188691e-13, -1.811817362806778e-11, -2.3471447008205359e-11, -1.9868995337901652e-11, -1.2294387730094058e-11, -4.6387338414888291e-12, 9.1038288019262836e-13, 3.7287950505060508e-12, 4.2372771957843725e-12, 3.318900709814443e-12, 1.865396725975188e-12, 5.2291504459844873e-13, -3.8058445284150366e-13, -7.8670403524938592e-13, -8.0246920219906315e-13, -5.9663385343355912e-13, -3.2529534621517087e-13, -9.3480778673438181e-14, 5.1736392947532295e-14, 1.0835776720341528e-13, 9.9920072216264089e-14, 5.7953641885433171e-14, 9.9920072216264089e-15, -2.6867397195928788e-14, -4.6629367034256575e-14, -5.1736392947532295e-14, -4.8849813083506888e-14, -4.4630965589931293e-14, -4.3076653355456074e-14, -4.5075054799781356e-14, -4.8627768478581856e-14, -5.084821452783217e-14, -4.9960036108132044e-14, -4.5741188614556449e-14, -3.9968028886505635e-14, -3.4861002973229915e-14, -3.1752378504279477e-14, -3.0642155479654321e-14, -3.0864200084579352e-14, -3.1752378504279477e-14, -3.2862601528904634e-14, -3.4416913763379853e-14, -3.7081449022480228e-14, -4.0856207306205761e-14, -4.4853010194856324e-14, -4.7739590058881731e-14, -4.8405723873656825e-14, -4.6407322429331543e-14, -4.2632564145606011e-14, -3.8635761256955448e-14, -3.5527136788005009e-14, -3.3306690738754696e-14, -3.1530333899354446e-14, -3.0198066269804258e-14, -2.9309887850104133e-14, -2.9531932455029164e-14, -3.1752378504279477e-14, -3.6415315207705135e-14, -4.3298697960381105e-14, -5.084821452783217e-14, -5.6621374255882984e-14, -5.8175686490358203e-14, -5.4178883601707639e-14, -4.5075054799781356e-14, -3.3528735343679728e-14, -2.3092638912203256e-14, -1.6431300764452317e-14, -1.4432899320127035e-14, -1.6875389974302379e-14, -2.2870594307278225e-14, -3.0642155479654321e-14, -3.7969627442180354e-14, -4.2854608750531042e-14, -4.4408920985006262e-14, -4.2632564145606011e-14, -3.8191672047105385e-14, -3.219646771412954e-14, -2.6201263381153694e-14, -2.1760371282653068e-14, -2.0206059048177849e-14, -2.19824158875781e-14, -2.6867397195928788e-14, -3.3750779948604759e-14, -4.1300296516055823e-14, -4.7739590058881731e-14, -5.1070259132757201e-14, -5.0182080713057076e-14, -4.5519144009631418e-14, -3.9301895071730542e-14, -3.4638958368304884e-14, -3.3528735343679728e-14, -3.5971225997855072e-14, -3.9745984281580604e-14, -4.1966430330830917e-14, -4.1078251911130792e-14, -3.7747582837255322e-14, -3.397282455352979e-14, -3.1974423109204508e-14, -3.2862601528904634e-14, -3.5749181392930041e-14, -3.9523939676655573e-14, -4.3298697960381105e-14, -4.5963233219481481e-14, -4.6629367034256575e-14, -4.4630965589931293e-14, -4.0412118096355698e-14, -3.5083047578154947e-14, -3.0198066269804258e-14, -2.708944180085382e-14, -2.6423307986078726e-14, -2.8421709430404007e-14, -3.2862601528904634e-14, -3.8857805861880479e-14, -4.4853010194856324e-14, -4.9071857688431919e-14, -5.0404125317982107e-14, -4.8183679268731794e-14, -4.2632564145606011e-14, -3.5527136788005009e-14, -2.9309887850104133e-14, -2.5979218776228663e-14, -2.6423307986078726e-14, -2.9753977059954195e-14, -3.3750779948604759e-14, -3.6415315207705135e-14, -3.7081449022480228e-14, -3.5971225997855072e-14, -3.3528735343679728e-14, -3.0642155479654321e-14, -2.8199664825478976e-14, -2.6645352591003757e-14, -2.6645352591003757e-14, -2.886579864025407e-14, -3.3084646133829665e-14, -3.7969627442180354e-14, -4.1966430330830917e-14, -4.3742787170231168e-14, -4.2854608750531042e-14, -4.0412118096355698e-14, -3.7747582837255322e-14, -3.5305092183079978e-14, -3.3306690738754696e-14, -3.1974423109204508e-14, -3.1530333899354446e-14, -3.1974423109204508e-14, -3.3750779948604759e-14, -3.730349362740526e-14, -4.2188474935755949e-14, -4.6629367034256575e-14, -4.8627768478581856e-14, -4.7739590058881731e-14, -4.4853010194856324e-14, -4.1522341120980855e-14, -3.9301895071730542e-14, -3.907985046680551e-14, -4.0856207306205761e-14, -4.3964831775156199e-14, -4.7073456244106637e-14, -4.9071857688431919e-14, -4.9515946898281982e-14}; + static constexpr double impulse[256] = {0.37691924841016577, -0.8482656082978326, 0.10367516800577503, 0.4268626258483541, 0.28874886550420209, 0.0019571910944349291, -0.20008935671051964, -0.23584179158942442, -0.143382271398381, -0.0093087469011416957, 0.091864292240106143, 0.12658173718684684, 0.10127070628658813, 0.044817066850551313, -0.011346662053733803, -0.046529920880794398, -0.05485397092857594, -0.042161663154987372, -0.019720046380278883, 0.0017166680389468086, 0.015466544613042985, 0.019740057976164876, 0.016475941596453117, 0.0093483518881648728, 0.0019371957534819947, -0.0033876563302611346, -0.0057714967774472083, -0.0055793014941450218, -0.0038252009296790672, -0.0016150010358897994, 0.00022677705465622058, 0.001299740703973092, 0.0015853379988331274, 0.0013047544236421829, 0.00075970835798453134, 0.00021141425982114988, -0.00018067426969044903, -0.00036558063572009539, -0.00037268115858882581, -0.00027106588001972877, -0.0001334929293485105, -1.3767528854413853e-05, 6.1199637559632118e-05, 8.8269373227560814e-05, 7.9304062860331129e-05, 5.1622055286928113e-05, 2.0780324650026942e-05, -3.1688237346741069e-06, -1.6289962914317935e-05, -1.9361244946805894e-05, -1.5696482177938561e-05, -9.1436319340079265e-06, -2.7637670812847971e-06, 1.7127988493679167e-06, 3.8217817307505601e-06, 3.9653100330232123e-06, 2.932805779687003e-06, 1.5132002590707844e-06, 2.7102397656104093e-07, -5.1882291481378322e-07, -8.2616792000766238e-07, -7.7008176136311059e-07, -5.2156461920562942e-07, -2.3293914267907037e-07, -2.6875623942947667e-09, 1.2938933120566945e-07, 1.6828431838658352e-07, 1.4314262129719091e-07, 8.8635237623996796e-08, 3.2775987563729815e-08, -8.1285526764831502e-09, -2.9034906319246557e-08, -3.2720448856005529e-08, -2.5614824500252052e-08, -1.4401697590966574e-08, -4.0210636630404739e-09, 2.9685621913536972e-09, 6.0773713274461353e-09, 6.1224380331762465e-09, 4.4279124501962811e-09, 2.2302728178018218e-09, 3.6768861911346923e-10, -7.8247864285319834e-10, -1.2086692434513127e-09, -1.1083168297489038e-09, -7.4062908433581048e-10, -3.2640405810398243e-10, -2.6114499239720735e-12, 1.7942838752348011e-10, 2.3088288823423061e-10, 1.9478156427055684e-10, 1.1986326048744604e-10, 4.4320839563200998e-11, -1.0318905991723229e-11, -3.7914563372824279e-11, -4.2652237699903813e-11, -3.33053001843954e-11, -1.873447824684412e-11, -5.3516268658573626e-12, 3.6041965351395872e-12, 7.575229687173914e-12, 7.6546200523438554e-12, 5.5466839684341107e-12, 2.8155468290478926e-12, 5.0650388885809984e-13, -9.1827485349871697e-13, -1.4510138316248432e-12, -1.3386059839125692e-12, -8.9980696126049352e-13, -4.0343425179153675e-13, -1.4829730148930814e-14, 2.0466761272462839e-13, 2.6868135349156561e-13, 2.2855113000674796e-13, 1.4204783527312856e-13, 5.4223225849256287e-14, -9.6114897363063603e-15, -4.2206596617585885e-14, -4.8350672041047345e-14, -3.8142355929869263e-14, -2.1770679453772258e-14, -6.6029166879750716e-15, 3.6296420880010667e-15, 8.2562983953217708e-15, 8.4858964901281638e-15, 6.2244080580178537e-15, 3.2254148333504591e-15, 6.6412776779997147e-16, -9.3458825697706212e-16, -1.5525144362611248e-15, -1.4559341544766547e-15, -9.9290437358457136e-16, -4.5843649087225085e-16, -3.5155096046883955e-17, 2.0770152384454611e-16, 2.8285369264493177e-16, 2.4455829618195886e-16, 1.5463926635370229e-16, 6.1655671305887137e-17, -6.8207601143755539e-18, -4.2534960208037287e-17, -5.0181424161965079e-17, -4.0250481531259777e-17, -2.3460556449437141e-17, -7.6334492758200884e-18, 3.2058159109784738e-18, 8.2526350493284309e-18, 8.6978623417137416e-18, 6.4922172798181022e-18, 3.4535118519830036e-18, 8.1403888170784813e-19, -8.6268368944565475e-19, -1.5389493931036285e-18, -1.4761038010214452e-18, -1.0257999587052566e-18, -4.9004180792057019e-19, -5.8448415098572581e-20, 1.9443523895508661e-19, 2.7814918065955295e-19, 2.4561445295962402e-19, 1.5859192424095711e-19, 6.626571096496266e-20, -2.9392438371798909e-21, -3.9981482561235268e-20, -4.898109590355629e-20, -4.0100143772936959e-20, -2.3940956513010434e-20, -8.3562308355380356e-21, 2.5206490282526728e-21, 7.7567126297465704e-21, 8.4325388081970441e-21, 6.4249760669500963e-21, 3.5167951456762748e-21, 9.3642319270238254e-22, -7.3725500302613838e-22, -1.4436461793819315e-21, -1.4224639064909301e-21, -1.0098691178879269e-21, -4.998712633772915e-22, -8.0508011593139056e-23, 1.7110907543691866e-22, 2.6019642909511684e-22, 2.3544832052460167e-22, 1.5555494338617222e-22, 6.8102942399483013e-23, 1.1919719915357446e-24, -3.5641050411667091e-23, -4.5678594091332202e-23, -3.8270640625719874e-23, -2.3438573159036529e-23, -8.7420879264084081e-24, 1.7348952227358272e-24, 6.9562386420436382e-24, 7.8399424590852628e-24, 6.1102699273577474e-24, 3.4443749777497891e-24, 1.0204168290278621e-24, -5.8788619914449662e-25, -1.2981028279709106e-24, -1.3187466155584081e-24, -9.5798668322658532e-25, -4.9130058847776479e-25, -9.8607567209102744e-26, 1.4299804647179457e-25, 2.3417654569060623e-25, 2.1773957325256443e-25, 1.4736382583295448e-25, 6.7489633438918271e-26, 4.9853406389567416e-27, -3.0429148941489202e-26, -4.1110344882036247e-26, -3.5321219043301645e-26, -2.2206010715952038e-26, -8.8070497085050311e-27, 9.6485909224626187e-28, 6.0063896003758756e-27, 7.0527218520950793e-27, 5.6313807546333221e-27, 3.2695309723717472e-27, 1.0629882519412481e-27, -4.3634072344859852e-28, -1.1280747079905297e-27, -1.1856309579420237e-27, -8.8229278961839412e-28, -4.6846301524348616e-28, -1.1140855944566109e-28, 1.1401044956341003e-28, 2.0428351162547785e-28, 1.9565832460875217e-28, 1.3574783417583582e-28, 6.4894683910946292e-29, 8.1005543098355192e-30, -2.5025394256123826e-29, -3.5947386186483939e-29, -3.1729828359373976e-29, -2.0483278146534814e-29, -8.595965346963359e-30, 2.830364352725705e-31, 5.0222604803074186e-30, 6.1764895001656168e-30, 5.0591636828749396e-30, 3.0245745361911433e-30, 1.0667088814354981e-30, -2.9670812317047907e-31, -9.5261945473930718e-31, -1.0394809700832759e-30, -7.9311084079343256e-31, -4.3554687585118083e-31, -1.1863832676126345e-31, 8.6729753102798255e-32, 1.736112647716693e-31, 1.7170220051632654e-31, 1.2218386054132149e-31, 6.0834208756412103e-32, 1.0395094766878141e-32, -1.9884272700789206e-32}; + static constexpr double chirp_in[4096] = {1, 0.99999992642979929, 0.99999882287700514, 0.99999404081958787, 0.9999811660875062, 0.99995401897637071, 0.99990465453387189, 0.99982336314626385, 0.99969867158853654, 0.99951734473821929, 0.99926438818900221, 0.998923052036508, 0.99847483614453059, 0.99789949723582638, 0.99717505818699503, 0.99627781994202647, 0.99518237649358454, 0.9938616334148932, 0.99228683045801158, 0.99042756876612315, 0.98825184327798898, 0.98572608093165093, 0.98281518530153245, 0.97948258832792745, 0.9756903098201305, 0.97139902543374301, 0.96656814383854717, 0.96115589380530031, 0.95511942194735522, 0.94841490185561306, 0.94099765536237645, 0.93282228666059408, 0.92384282998911005, 0.91401291157120323, 0.90328592646221384, 0.89161523092170281, 0.87895435087564089, 0.86525720697385833, 0.85047835667664762, 0.83457325372130264, 0.81749852522376165, 0.79921226656174948, 0.77967435406322239, 0.75884677538693723, 0.73669397733007314, 0.7131832306305963, 0.68828501114913054, 0.66197339661628929, 0.6342264779166199, 0.60502678364962148, 0.57436171646195799, 0.54222399938345511, 0.50861213012343165, 0.4735308409942906, 0.43699156182725674, 0.39901288293222104, 0.35962101483159181, 0.31885024116901001, 0.27674336086026408, 0.2333521152185779, 0.18873759545291671, 0.14297062560971868, 0.096132115709591626, 0.048313379525507044, -0.00038358883718521143, -0.049845885660697295, -0.099949521968676278, -0.15055930804420456, -0.20152880479580074, -0.25270034875965974, -0.30390515757424702, -0.35496352274746379, -0.4056850964493664, -0.45586927889726703, -0.50530571264738766, -0.55377488976053313, -0.60104887736125978, -0.64689216655377857, -0.69106264898686465, -0.73331272456861973, -0.77339054291489417, -0.81104138006864557, -0.8460091508484886, -0.87803805587175265, -0.9068743608505454, -0.93226830418043516, -0.95397612713425417, -0.97176221914417393, -0.9854013687119787, -0.99468110844139446, -0.99940414055107041, -0.99939082701909576, -0.99448172624942033, -0.98454015586016352, -0.96945475889963473, -0.94914204852736517, -0.92354890398720091, -0.89265498858333392, -0.85647505838693705, -0.81506112859245528, -0.7685044628528731, -0.71693734959881206, -0.66053462833527321, -0.59951492826162256, -0.53414158132492895, -0.46472317204376912, -0.39161368717798556, 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0.25640987367073959, -0.23745301300816751, 0.2191538713382635, -0.20152880479604404, 0.18459228461925636, -0.16835704134700888, 0.15283420512977428, -0.13803344170061341, 0.12396308361540023, -0.110630256377754, 0.098040999160336914, -0.086200379880266867, 0.075112604335562244, -0.064781119288953887, 0.055208709333225685, -0.046397587328288914, 0.038349478447046295, -0.03106569760236999, 0.024547220292490568, -0.018794746789342908, 0.013808759594209193, -0.0095895741816169593, 0.0061373830151254354, -0.0034522927602768901, 0.0015343547837478589, -0.00038358883724551112, -4.1594761818964385e-13}; + static constexpr double chirp[4096] = {0.37691924841016577, -0.4713463876176916, -0.36767157315513543, 0.05919017872220983, 0.34793810213152471, 0.34989499406031044, 0.14980636403675501, -0.08603387215870939, -0.22941438023456534, -0.23872183713413825, -0.14685714766708369, -0.020275929549849969, 0.080993648198263823, 0.12580943068037959, 0.11446173444956409, 0.067931261309019497, 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2.3695052842331865e-06, 1.7915236272397772e-06, 9.005509297999037e-07, 5.997237249172338e-08, -5.37776740958118e-07, -8.5252523608983499e-07, -9.4251747379857169e-07, -9.0572405706326742e-07, -8.3504079118751351e-07, -7.9412912395299129e-07, -8.1188353515115885e-07, -8.8908215094274379e-07, -1.0100877342739123e-06, -1.154104965400693e-06, -1.3029960740096325e-06, -1.4449286821205387e-06, -1.5746264183935654e-06, -1.6916230737851201e-06, -1.7978804001395066e-06, -1.8957203576641657e-06, -1.9865210653113863e-06, -2.0702146777407116e-06, -2.1453823235151326e-06, -2.2096622323553028e-06, -2.2602231147250684e-06, -2.2941454934644057e-06, -2.3086493750601456e-06, -2.3011780081461097e-06, -2.2693849021648838e-06, -2.2110789721363489e-06, -2.124171449124912e-06, -2.0066495567960807e-06, -1.8565843475926158e-06, -1.6721681151965484e-06, -1.4517712806916272e-06, -1.1940083435857396e-06, -8.978051176389279e-07, -5.6246301283202627e-07, -1.8771910598180952e-07, 2.261974410555645e-07, 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-0.90506846970615684, 0.7664189615933017, -0.60171833486147286, 0.41696597088015935, -0.21872840786972497, 0.013897860484255762, 0.19055173640623013, -0.38780262188630193, 0.57141715149939776, -0.73554078585853777, 0.87507820250934509, -0.98583782889896776, 1.0646414044279522, -1.109396527655951, 1.1191314817602374, -1.0939929123326526, 1.0352081167315426, -0.945014759898817, 0.82656173116447684, -0.68378558067717798, 0.52126751071745392, -0.34407624137484621, 0.15760222382764577, 0.032611354187747833, -0.22103552379095659, 0.40231555306176259, -0.57141960800144154, 0.72377222053087875, -0.85536939184050698, 0.96287287758902473, -1.0436819478132133, 1.0959816643196132, -1.1187674488616517, 1.111846405967134, -1.0758164972680817, 1.0120252249023114, -0.92250995874016783, 0.80992242802423509, -0.6774401878067523, 0.52866806304801528, -0.36753266994465927, 0.19817311921343356, -0.024830926225693627, -0.14825800352277474, 0.31696666810440377, -0.4773731750997483, 0.62584781537137213, -0.75912931466687494, 0.87438894752075147, -0.9692815810080857, 1.0419830968447339, -1.0912140093091756, 1.1162494447971973, -1.1169159690949713, 1.093576034630183, -1.0471010673450092, 0.97883441816501049, -0.89054556544560892, 0.78437707161956793, -0.66278587010494128, 0.52848048904124623, -0.38435580914621337, 0.23342690722877754, -0.078763458658343388, -0.076573934216956713, 0.22959425039993828, -0.37743230618964252, 0.51739983134901502, -0.64703060862996042, 0.7641190944924261, -0.86675211344322078, 0.95333338903956855, -1.0226008376492328, 1.0736367036401979, -1.1058707543195028, 1.1190768775269051, -1.113363533001694, 1.0891585994502782, -1.047189232118195, 0.98845740063853649, -0.91421181425257902, 0.82591696191502617, -0.72521999929680692, 0.61391620449750051, -0.49391370086598896, 0.3671981102713493, -0.23579775513134021, 0.10174997427962962, 0.032930941931527506, -0.16628375634158449, 0.29642785606367689, -0.42158808552879357, 0.54011660619579649, -0.65051161545176239, 0.75143282266343037, -0.84171364235541213, 0.92037012218155723, -0.98660667610240949, 1.03981874044932, -1.0795925119596042, 1.1057019621483521, -1.1181033515133405, 1.1169274900853359, -1.1024700077996479, 1.0751799094093988, -1.0356466944840614, 0.98458632378332256, -0.92282630948669553, 0.85129019880787138, -0.77098170897865725, 0.68296875696453319, -0.58836761007277028, 0.4883273643960292, -0.38401493726431613, 0.27660073805743629, -0.16724515927591332, 0.057086007138940062, 0.052773031460003304, -0.1612728107666917, 0.26740798301243091, -0.37023505661166234, 0.46887924081261723, -0.56254007930761984, 0.65049589109033956, -0.73210705098640061, 0.80681815474927898, -0.87415912432256138, 0.93374531788036075, -0.98527671656436699, 1.0285362655266115, -1.0633874510361436, 1.0897711980619897, -1.1077021740879507, 1.117264584967155, -1.1186075475832808, 1.1119401220532188, -1.0975260832595515, 1.0756785078530398, -1.0467542485753933, 1.0111483629480404, -0.96928855819529591, 0.92162970880978423, -0.8686484975094777, 0.81083822460007426, -0.74870382501558974, 0.68275712663543364, -0.61351237792363911, 0.54148206759285578, -0.46717305388757269, 0.39108301623399444, -0.31369723750959055, 0.23548572097103598, -0.15690064205587964, 0.078374131838540043, -0.00031638575203192347, -0.076885911490538361, 0.15287085620322935, -0.22730230477317759, 0.29987057654260529, -0.37029289706166085, 0.4383135992356843, -0.50370410060521764, 0.56626267563255572, -0.62581404195750201, 0.68220877965825444, -0.73532260245644154, 0.78505549931934648, -0.83133076452804988, 0.87409393358363374, -0.91331164155841504, 0.94897041975571028, -0.98107544550391135, 1.0096492590426109, -1.0347304604392498, 1.0563723983661755, -1.0746418616656468, 1.0896177834770042, -1.1013899666978222, 1.1100578386203124, -1.1157292414900235, 1.118519264879237, -1.1185491248551882, 1.1159450940195637, -1.1108374857654411, 1.1033596952902038, -1.0936472992215642, 1.0818372150903326, -1.0680669212599581, 1.0524737374179709, -1.0351941652448746, 1.0163632884464464, -0.99611423096023977, 0.97457767182257848, -0.95188141491098677, 0.92815001150524701, -0.90350443346048737, 0.87806179459954692, -0.8519351178106932, 0.82523314527527902, -0.79806018914381727, 0.77051601999091679, -0.74269579037799982, 0.71468999079953643, -0.68658443540537828, 0.65846027491468462, -0.63039403416086537, 0.60245767185333354, -0.57471866017765727, 0.54724008197283369, -0.52008074334380694, 0.49329529961866658, -0.46693439274392357, 0.4410447982741007, -0.41566958022989331, 0.3908482522648159, -0.36661694359151797, 0.3430085683292291, -0.32005299702604495, 0.29777722911522408, -0.27620556531865237, 0.2553597789989443, -0.23525928556078843, 0.21592130918417679, -0.19736104610048777, 0.17959182383127953, -0.16262525586307966, 0.14647139117970184, -0.13113885831505623, 0.11663500351938852, -0.10296602269509202, 0.090137086904935659, -0.078152461126203096, 0.067015616124173616, -0.056729333311908763, 0.047295802355977898, -0.038716711541770338, 0.030993330775153892, -0.024126587102468375, 0.018117132820149488, -0.012965406021979211, 0.0086716835980638896, -0.0052361267439797587, 0.0026588188283908358, -0.00093979572443144799, 7.9068584593479699e-05}; +}; + +struct case_tu_hp_zeta_6_100Hz_1000Hz_z50 +{ + static constexpr int order = 6; + static constexpr double cutoff_hz = 100.0; + static constexpr double sample_rate_hz = 1000.0; + + static constexpr double b[7] = {0.35457404024263972, -2.1274442414558412, 5.3186106036396081, -7.0914808048528162, 5.3186106036396144, -2.1274442414558461, 0.35457404024264105}; + static constexpr double a[7] = {1, -3.8275849622184643, 6.5493226456051508, -6.3276747738130741, 3.6367379282643579, -1.1802012749133717, 0.1712169907145448}; + static constexpr double step[256] = {0.35457404024263972, -0.41570793678742912, -0.36763683640085343, 0.013332985260151475, 0.31171810768315067, 0.35523469840154254, 0.18818601207792163, -0.044995672554296484, -0.21186181639455814, -0.25173627050075142, -0.17921475380865737, -0.052937686405510331, 0.06336781506018474, 0.1284022883098962, 0.13241390656500973, 0.090960925555351735, 0.031182543975681765, -0.021621341414668538, -0.052274687102250694, -0.0576783084217386, -0.043939701255374053, -0.021347532557011717, 0.00034902990845109283, 0.014879861353792267, 0.020263260424135621, 0.017968081985605955, 0.011278161340293136, 0.0036615059960459773, -0.0023441093081751907, -0.0055662892187208213, -0.0060634759198380239, -0.0046676848181733677, -0.0024607555103904888, -0.00036657823539865131, 0.0010608635361167851, 0.0016625915825810855, 0.0015746705298357311, 0.0010792851041107054, 0.00046897328436446006, -4.1161241217557709e-05, -0.00034574956951283209, -0.00043761001687470102, -0.0003723886065082338, -0.00022870709840561165, -7.7030752294482419e-05, 3.7147205501741887e-05, 9.6509268748046217e-05, 0.00010586338472562407, 8.2165701248526624e-05, 4.4994102782358603e-05, 1.0009367125918267e-05, -1.3908615284274894e-05, -2.4481979431834056e-05, -2.4064132332912713e-05, -1.7143834522337364e-05, -8.2384183427430813e-06, -6.1694165853776184e-07, 4.1167246499496102e-06, 5.8064758446940701e-06, 5.2071968995592854e-06, 3.4077785796560178e-06, 1.3924333884807183e-06, -1.9197222067557362e-07, -1.0802244320151644e-06, -1.308321666004808e-06, -1.0813230529871376e-06, -6.4750930828250119e-07, -2.1157828611340079e-07, 1.0466258426600206e-07, 2.6242951622901245e-07, 2.8285336617361878e-07, 2.165848577151408e-07, 1.1759686013856907e-07, 2.6793307461581151e-08, -3.4011506166997663e-08, -6.031611465839859e-08, -5.905792865856796e-08, -4.1968574282513771e-08, -2.0331762384806495e-08, -2.029169832162836e-09, 9.2453641409306897e-09, 1.3279931487808483e-08, 1.1960913703923381e-08, 7.8782343981842473e-09, 3.3131636323346925e-09, -2.6772395411711614e-10, -2.2814886646571608e-09, -2.8230972004550381e-09, -2.3566270046515569e-09, -1.4323798813720146e-09, -4.9794757206456097e-10, 1.8329948670015028e-10, 5.2842119568907719e-10, 5.8249771672791439e-10, 4.5252035452136852e-10, 2.5172852691213166e-10, 6.5524363712654576e-11, -6.058253898544308e-11, -1.1687728562748134e-10, -1.1710554748134427e-10, -8.4795170884888194e-11, -4.260558572610762e-11, -6.3978822240073896e-12, 1.6309509298650937e-11, 2.491418182870575e-11, 2.2981061498228428e-11, 1.5494827643180997e-11, 6.8766103922257571e-12, -5.8841820305133297e-15, -3.9784842087442485e-12, -5.1713078264015166e-12, -4.4310111135814623e-12, -2.7821078774081798e-12, -1.0668133043623129e-12, 2.1171953079601735e-13, 8.8540286213856234e-13, 1.0252909632413321e-12, 8.2012174829060314e-13, 4.7351012000262926e-13, 1.411093464298574e-13, -9.1593399531575415e-14, -2.028377465990161e-13, -2.1282975382064251e-13, -1.6064927166326015e-13, -8.6042284408449632e-14, -1.8984813721090177e-14, 2.453592884421596e-14, 4.1411318818518339e-14, 3.6748382115092681e-14, 1.9650947535865271e-14, -7.7715611723760958e-16, -1.7652546091539989e-14, -2.7644553313166398e-14, -3.0531133177191805e-14, -2.7644553313166398e-14, -2.120525977034049e-14, -1.3877787807814457e-14, -7.8825834748386114e-15, -4.5519144009631418e-15, -4.5519144009631418e-15, -7.6605388699135801e-15, -1.2989609388114332e-14, -1.9206858326015208e-14, -2.4313884239290928e-14, -2.6534330288541241e-14, -2.5202062658991053e-14, -2.0983215165415459e-14, -1.5210055437364645e-14, -9.4368957093138306e-15, -5.2180482157382357e-15, -3.6637359812630166e-15, -4.3298697960381105e-15, -5.6621374255882984e-15, -6.3282712403633923e-15, -6.106226635438361e-15, -6.106226635438361e-15, -7.4384942649885488e-15, -9.8809849191638932e-15, -1.2101430968414206e-14, -1.27675647831893e-14, -1.1657341758564144e-14, -9.6589403142388619e-15, -8.1046280797636427e-15, -8.1046280797636427e-15, -9.8809849191638932e-15, -1.2101430968414206e-14, -1.27675647831893e-14, -1.0769163338864018e-14, -6.3282712403633923e-15, -1.2212453270876722e-15, 2.3314683517128287e-15, 2.9976021664879227e-15, 1.2212453270876722e-15, -1.6653345369377348e-15, -4.3298697960381105e-15, -6.106226635438361e-15, -6.9944050551384862e-15, -7.8825834748386114e-15, -9.4368957093138306e-15, -1.1879386363489175e-14, -1.4543921622589551e-14, -1.6320278461989801e-14, -1.6320278461989801e-14, -1.4099832412739488e-14, -1.0103029524088925e-14, -5.8841820305133297e-15, -3.4416913763379853e-15, -3.8857805861880479e-15, -6.9944050551384862e-15, -1.1879386363489175e-14, -1.7208456881689926e-14, -2.1649348980190553e-14, -2.3425705819590803e-14, -2.1427304375265521e-14, -1.5876189252139739e-14, -8.5487172896137054e-15, -1.6653345369377348e-15, 2.7755575615628914e-15, 3.8857805861880479e-15, 1.8873791418627661e-15, -1.6653345369377348e-15, -5.2180482157382357e-15, -7.6605388699135801e-15, -8.992806499463768e-15, -9.6589403142388619e-15, -9.8809849191638932e-15, -9.8809849191638932e-15, -9.8809849191638932e-15, -9.8809849191638932e-15, -9.4368957093138306e-15, -8.3266726846886741e-15, -7.2164496600635175e-15, -6.7723604502134549e-15, -7.4384942649885488e-15, -8.992806499463768e-15, -1.0547118733938987e-14, -1.1213252548714081e-14, -1.0547118733938987e-14, -8.992806499463768e-15, -7.4384942649885488e-15, -6.3282712403633923e-15, -5.2180482157382357e-15, -4.1078251911130792e-15, -3.4416913763379853e-15, -3.4416913763379853e-15, -3.8857805861880479e-15, -4.3298697960381105e-15, -4.7739590058881731e-15, -5.440092820663267e-15, -6.7723604502134549e-15, -8.7707618945387367e-15, -1.099120794378905e-14, -1.27675647831893e-14, -1.3433698597964394e-14, -1.2989609388114332e-14, -1.2101430968414206e-14, -1.099120794378905e-14, -9.6589403142388619e-15, -8.1046280797636427e-15, -7.2164496600635175e-15, -7.6605388699135801e-15, -9.4368957093138306e-15, -1.1879386363489175e-14, -1.4099832412739488e-14, -1.4988010832439613e-14, -1.3877787807814457e-14, -1.099120794378905e-14, -7.4384942649885488e-15, -4.9960036108132044e-15, -4.9960036108132044e-15, -7.2164496600635175e-15, -9.8809849191638932e-15, -1.1213252548714081e-14, -1.0103029524088925e-14, -7.2164496600635175e-15, -4.5519144009631418e-15}; + static constexpr double impulse[256] = {0.35457404024263972, -0.77028197703006884, 0.048071100386575694, 0.38096982166100479, 0.29838512242299875, 0.043516590718390979, -0.16704868632362077, -0.23318168463221478, -0.16686614384025389, -0.039874454106181845, 0.072521516692106658, 0.12627706740315769, 0.11630550146570168, 0.065034473249713842, 0.0040116182551117319, -0.041452981009663506, -0.059778381579678283, -0.052803885390360267, -0.030653345687591815, -0.0054036213194950666, 0.013738607166361331, 0.022592168698363613, 0.021696562465467722, 0.014530831445347919, 0.0053833990703494178, -0.002295178438525794, -0.0066899206453110132, -0.0076166553442465791, -0.0060056153042210292, -0.0032221799105452351, -0.00049718670111653651, 0.0013957911016649939, 0.0022069293077823801, 0.0020941772749900403, 0.0014274417715123625, 0.0006017280464602941, -8.7921052749208566e-05, -0.00049538542572796632, -0.00061031181974834526, -0.00051013452558394744, -0.00030458832829777997, -9.1860447364946335e-05, 6.5221410363665105e-05, 0.00014368150810112508, 0.00015167634611182285, 0.00011417795779986701, 5.9362063252949568e-05, 9.3541159863343799e-06, -2.3697683468154773e-05, -3.7171598459424758e-05, -3.498473565396418e-05, -2.391798241259185e-05, -1.0573364153411102e-05, 4.1784709222764073e-07, 6.9202978052362545e-06, 8.905416176379058e-06, 7.6214766826201074e-06, 4.7336663074140424e-06, 1.6897511934180741e-06, -5.9927894705404864e-07, -1.7994183224680453e-06, -2.0153451933806913e-06, -1.5844056091657948e-06, -8.8825220767809094e-07, -2.2809722711500101e-07, 2.2699862066618144e-07, 4.3381375074100601e-07, 4.3593102476916375e-07, 3.1624086865508284e-07, 1.5776692626612111e-07, 2.0423841725706307e-08, -6.626851733717661e-08, -9.8988005307364544e-08, -9.0803557626651152e-08, -6.0804814535730189e-08, -2.6304605431497079e-08, 1.2581916248141862e-09, 1.7089360409700924e-08, 2.1636816944294873e-08, 1.8302595948878099e-08, 1.1274535892898505e-08, 4.0345682541949223e-09, -1.3190174512283598e-09, -4.0826790305636845e-09, -4.5650701524109137e-09, -3.5808862495669826e-09, -2.0137628606045286e-09, -5.416073147042154e-10, 4.6647007359362914e-10, 9.2424568106340476e-10, 9.3442974171178217e-10, 6.8124391184504276e-10, 3.4511852998248984e-10, 5.4073447825822001e-11, -1.2997972639963712e-10, -2.0079205069989506e-10, -1.8620123933039903e-10, -1.2610073681460594e-10, -5.6286487743297223e-11, -2.2025312839314999e-13, 3.2315692697860927e-11, 4.2190382603566111e-11, 3.6203456178940951e-11, 2.2698776716212964e-11, 8.5939554298456927e-12, -1.9424532402541721e-12, -7.4913494396060475e-12, -8.6181159035025441e-12, -6.8780039381255051e-12, -3.9657713798897937e-12, -1.185536885869516e-12, 7.4671095103316908e-13, 1.6534843851935002e-12, 1.7173192266277914e-12, 1.2776362232952527e-12, 6.6993818816060594e-13, 1.3419493041795412e-13, -2.1137753787672518e-13, -3.5155080051076051e-13, -3.3462493487052114e-13, -2.3203698283324708e-13, -1.0867679794116994e-13, -7.6287322393280191e-15, 5.2539145509182778e-14, 7.2514030884367252e-14, 6.385782654654951e-14, 4.1165976021437208e-14, 1.6718736846076397e-14, -1.9469064559053691e-15, -1.2112066203469865e-14, -1.4578726730673081e-14, -1.1945948511283831e-14, -7.1210149769531123e-15, -2.3797228422506937e-15, 9.9683217553815191e-16, 2.6538094049688508e-15, 2.8657605429891685e-15, 2.191464457485701e-15, 1.1971382498856245e-15, 2.9584353096499446e-16, -3.0186945649850145e-16, -5.5988914938154889e-16, -5.519570016991525e-16, -3.9415663008996869e-16, -1.9451534049806223e-16, -2.6419496060352055e-17, 7.6952148330520101e-17, 1.1462742091778111e-16, 1.043093420213711e-16, 6.9448915694001045e-17, 3.0260341052563903e-17, -5.1113681354522082e-19, -1.7928831955246068e-17, -2.2886580353921046e-17, -1.9357696015543887e-17, -1.1968115494652822e-17, -4.4298848473324896e-18, 1.0984642487836305e-18, 3.9446845284799257e-18, 4.4710412508635984e-18, 3.5289145980720456e-18, 2.0117718949146742e-18, 5.8861911646942553e-19, -3.8548899861413352e-19, -8.3311612744714845e-19, -8.5651647215634205e-19, -6.3186010984581494e-19, -3.2842146651546616e-19, -6.44741965482942e-20, 1.036358961495183e-19, 1.7048471497785702e-19, 1.6113893211332736e-19, 1.1104530362915575e-19, 5.169851936449633e-20, 3.5857748795326541e-21, -2.4764873521899139e-20, -3.3998811484808309e-20, -2.9798455685340235e-20, -1.9129708120487273e-20, -7.7506782814424862e-21, 8.6860097641241547e-22, 5.5236657730385396e-21, 6.6325144413806558e-21, 5.4187493641258689e-21, 3.2233036759413104e-21, 1.0807720462768517e-21, -4.3602395610222825e-22, -1.1758409844178239e-21, -1.2688906748790516e-21, -9.6896221108023923e-22, -5.2940104128057784e-22, -1.3282588764025419e-22, 1.2908664320167989e-22, 2.4177126082874934e-22, 2.3846900027472226e-22, 1.7029661510219705e-22, 8.4291127357675051e-23, 1.2089806570193367e-23, -3.2205766292376752e-23, -4.8361599237163642e-23, -4.4072213663298754e-23, -2.9386676241736275e-23, -1.2893060857934097e-23, 3.8099189137867318e-26, 7.3541577139792157e-24, 9.4539284534212644e-24, 8.0144444697633724e-24, 4.9703923174369504e-24, 1.8641323248515406e-24, -4.1337710671248278e-25, -1.588066480449847e-24, -1.8115261048586079e-24, -1.4342326482969631e-24, -8.2176664897721951e-25, -2.4653505459760259e-25, 1.4760810045205082e-25, 3.2961488227030734e-25, 3.4093303464841414e-25, 2.5251033232686534e-25, 1.3224753150404097e-25, 2.7425702444148316e-26, -3.9499495242240914e-26, -6.6368048032997036e-26, -6.3103604259764856e-26, -4.3704052650067314e-26, -2.057639652804297e-26, -1.7749523903490526e-27, 9.34924803061599e-27, 1.3037600964714956e-26, 1.1495754333173152e-26, 7.4261457299914946e-27, 3.0599609818498734e-27, -2.5901052972476884e-28, -2.0626241897391657e-27, -2.5079886101654768e-27, -2.0618805359378767e-27, -1.2361704423018782e-27, -4.2574101653125269e-28, 1.5054231235985331e-28, 4.3418834796228802e-28, 4.7359608415294333e-28, 3.6408001341128864e-28, 2.0092663752949121e-28, 5.2883385946297419e-29, -4.5428409762142363e-29, -8.829835326096056e-29, -8.7932792961574639e-29, -6.3257859855463827e-29, -3.17256573028795e-29, -5.0978615706436877e-30, 1.1350713303028767e-29, 1.7475760547477943e-29, 1.6069347093401297e-29, 1.0803764951134057e-29, 4.8258178777300151e-30, 1.0969334184548039e-31}; + static constexpr double chirp_in[4096] = {1, 0.99999992642979929, 0.99999882287700514, 0.99999404081958787, 0.9999811660875062, 0.99995401897637071, 0.99990465453387189, 0.99982336314626385, 0.99969867158853654, 0.99951734473821929, 0.99926438818900221, 0.998923052036508, 0.99847483614453059, 0.99789949723582638, 0.99717505818699503, 0.99627781994202647, 0.99518237649358454, 0.9938616334148932, 0.99228683045801158, 0.99042756876612315, 0.98825184327798898, 0.98572608093165093, 0.98281518530153245, 0.97948258832792745, 0.9756903098201305, 0.97139902543374301, 0.96656814383854717, 0.96115589380530031, 0.95511942194735522, 0.94841490185561306, 0.94099765536237645, 0.93282228666059408, 0.92384282998911005, 0.91401291157120323, 0.90328592646221384, 0.89161523092170281, 0.87895435087564089, 0.86525720697385833, 0.85047835667664762, 0.83457325372130264, 0.81749852522376165, 0.79921226656174948, 0.77967435406322239, 0.75884677538693723, 0.73669397733007314, 0.7131832306305963, 0.68828501114913054, 0.66197339661628929, 0.6342264779166199, 0.60502678364962148, 0.57436171646195799, 0.54222399938345511, 0.50861213012343165, 0.4735308409942906, 0.43699156182725674, 0.39901288293222104, 0.35962101483159181, 0.31885024116901001, 0.27674336086026408, 0.2333521152185779, 0.18873759545291671, 0.14297062560971868, 0.096132115709591626, 0.048313379525507044, -0.00038358883718521143, -0.049845885660697295, -0.099949521968676278, -0.15055930804420456, -0.20152880479580074, -0.25270034875965974, -0.30390515757424702, -0.35496352274746379, -0.4056850964493664, -0.45586927889726703, -0.50530571264738766, -0.55377488976053313, -0.60104887736125978, -0.64689216655377857, -0.69106264898686465, -0.73331272456861973, -0.77339054291489417, -0.81104138006864557, -0.8460091508484886, -0.87803805587175265, -0.9068743608505454, -0.93226830418043516, -0.95397612713425417, -0.97176221914417393, -0.9854013687119787, -0.99468110844139446, -0.99940414055107041, -0.99939082701909576, -0.99448172624942033, -0.98454015586016352, -0.96945475889963473, -0.94914204852736517, -0.92354890398720091, -0.89265498858333392, -0.85647505838693705, -0.81506112859245528, -0.7685044628528731, -0.71693734959881206, -0.66053462833527321, -0.59951492826162256, -0.53414158132492895, -0.46472317204376912, -0.39161368717798556, -0.3152122296164856, -0.23596226275400647, -0.15435035416899404, -0.070904390633105427, 0.013808759593039822, 0.09918615657250443, 0.18459228461860086, 0.2693631422116452, 0.35281092692297711, 0.43422930879702298, 0.51289927740590668, 0.5880955389371294, 0.65909343027171097, 0.72517630714337644, 0.78564335324217838, 0.83981774665942033, 0.88705510950404776, 0.92675215601078931, 0.9583554441811033, 0.98137012613941343, 0.99536858315359633, 0.99999882287700514, 0.99499250904629088, 0.98017248784854372, 0.95545967068985072, 0.92087913039150604, 0.87656526714078131, 0.82276590205092281, 0.7598451601445787, 0.68828501114912999, 0.60868534583648182, 0.52176247787447139, 0.42834597636238814, 0.32937375243207906, 0.22588534448833064, 0.11901337075840943, 0.0099731446764950698, -0.099949521968675376, -0.20941227153109016, -0.31703181849493733, -0.42140110777252832, -0.52110785216033795, -0.61475425146856222, -0.70097765980614957, -0.77847193249159985, -0.84600915084848771, -0.90246139255836488, -0.94682218813969621, -0.97822728137500836, -0.99597429399523896, -0.99954088350734849, -0.98860097853545059, -0.9630386791909602, -0.92295942146047771, -0.86869802495628545, -0.80082327303127221, -0.72013871347380276, -0.6276794168385581, -0.52470448779900736, -0.41268519236054085, -0.29328863974147795, -0.16835704134703858, -0.039882659401103367, 0.09002134692995295, 0.21915387133951877, 0.34526219919889106, 0.46608122869670787, 0.57937497068616284, 0.68297963205683976, 0.7748475038260193, 0.85309080213204103, 0.91602455057213206, 0.96220754845479073, 0.99048044398756308, 0.99999992642979929, 0.99026806874157036, 0.96115589380530075, 0.91292030397297208, 0.84621360604462514, 0.7620849817471087, 0.66197339661628984, 0.54769160642970061, 0.42140110777252909, 0.2855780849582823, 0.14297062560971963, -0.0034522927617008812, -0.15055930804420603, -0.29512169978712482, -0.43388373911755923, -0.56363695259073099, -0.68129669877065169, -0.78397929272312616, -0.8690777846452038, -0.9343344109714895, -0.97790769530701704, -0.99843218742645046, -0.9950688952752843, -0.96754459005089155, -0.9161783491799238, -0.84189394582437793, -0.74621699410734765, -0.63125611230023981, -0.49966776553729064, -0.35460488704253801, -0.19964984230321187, -0.038732782291660182, 0.1239630836160234, 0.28410729153688535, 0.43733655464327453, 0.57937497068616117, 0.70615681024133081, 0.81394842128514178, 0.89946560517441376, 0.95998273974085324, 0.99342995728005579, 0.99847483614453048, 0.97458533851213081, 0.92207112396763224, 0.84210088492281143, 0.73669397733007302, 0.60868534583648282, 0.46166354924637748, 0.29988255844234957, 0.12814889944360713, -0.048313379525509959, -0.2240165573282355, -0.39337772332802823, -0.55089698145210475, -0.69133985418658528, -0.80991791317645134, -0.90246139255836466, -0.96557747552099782, -0.99678810088010106, -0.99464152469519274, -0.95879249417982837, -0.89004674065898659, -0.79036655916348131, -0.66283548908721601, -0.51158150864681218, -0.34165966256345809, -0.15889660674110515, 0.030298881123715433, 0.21915387133951658, 0.40077079795557791, 0.56838039236265869, 0.71559896074412133, 0.83668028795140859, 0.92675215601078997, 0.98202755565343003, 0.9999811660875062, 0.97948258832792812, 0.92087913039150737, 0.82602263024340583, 0.6982368180860713, 0.54222399938345556, 0.36391230372523414, 0.17024729818871898, -0.031065697601372073, -0.23185984575257096, -0.42383465395227493, -0.59890073081561812, -0.74952733250515868, -0.86907778464520447, -0.95211766591071434, -0.99468110844139468, -0.99448172624941999, -0.95105651629515231, -0.86583354565218051, -0.74211726695732327, -0.58498878606033655, -0.4011222042584015, -0.19852211184659407, 0.013808759593047724, 0.22625900242972455, 0.42903908336572988, 0.61263423194927435, 0.76825896913416514, 0.88829153315462384, 0.96666642869321839, 0.99920437022617881, 0.98386102377908657, 0.92087913039150748, 0.81283271986127859, 0.66455703958209811, 0.48296332366677897, 0.27674336086027079, 0.055974700631925785, -0.16835704134703514, -0.38489726725106244, -0.58249718413303753, -0.75079558121367618, -0.8807772378003631, -0.96527750388896616, -0.99940414055107052, -0.98085070531978158, -0.91008053699473446, -0.79036655916348153, -0.62767941683856299, -0.43042453941683434, -0.20903717243428122, 0.024547220293044292, 0.25752199792776376, 0.47690591218475858, 0.6702700665282546, 0.82645479681547807, 0.93623487063973665, 0.99289265158964735, 0.99266256453924517, 0.93501624268541406, 0.82276590205092304, 0.66197339661628929, 0.46166354924637809, 0.23335211521857976, -0.0095895741826257964, -0.2527003487596628, -0.48128300660049478, -0.68129669877065224, -0.84023397604037153, -0.9479273461671317, -0.99723238944639814, -0.98454015586016264, -0.91008053699473168, -0.77799016180242753, -0.59613248546922271, -0.37567331729755787, -0.13043111482230935, 0.12396308361602595, 0.37104727229943907, 0.59459149924435239, 0.77967435406322239, 0.91370141006883898, 0.98729522857459673, 0.99499250904629022, 0.93569463493371918, 0.81283271986127059, 0.63422647791661613, 0.41163671634210847, 0.16003264759379121, -0.1033839317883601, -0.36033676125160785, -0.59273942915648381, -0.78397929272312317, -0.9201297299918394, 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-0.110630256377754, 0.098040999160336914, -0.086200379880266867, 0.075112604335562244, -0.064781119288953887, 0.055208709333225685, -0.046397587328288914, 0.038349478447046295, -0.03106569760236999, 0.024547220292490568, -0.018794746789342908, 0.013808759594209193, -0.0095895741816169593, 0.0061373830151254354, -0.0034522927602768901, 0.0015343547837478589, -0.00038358883724551112, -4.1594761818964385e-13}; + static constexpr double chirp[4096] = {0.35457404024263972, -0.41570796287351242, -0.36763719710830983, 0.01333177546950387, 0.31171593530235053, 0.35523214528262104, 0.18818409333225561, -0.04499606307906695, -0.2118603654762059, -0.25173337196346224, -0.17921129600858815, -0.052934660615296281, 0.063369682821454332, 0.12840273894935483, 0.13241314317543534, 0.090959452363249649, 0.031180943929141891, -0.021622599130422249, -0.052275354033165966, -0.057678367405218367, -0.043939304657141021, -0.021346908466267189, 0.00034966532222258095, 0.014880360878801846, 0.02026356492203002, 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-0.2097248992619441, 0.19246163904037555, -0.17589393268501624, 0.1600336419670631, -0.1448911009007918, 0.13047524924704051, -0.11679376111753009, 0.10385316829938007, -0.091658978005096758, 0.080215784873931439, -0.069527376921721742, 0.059596835344261231, -0.050426628044389118, 0.042018696666607583, -0.034374537167469049, 0.027495273793959225, -0.021381726373495211, 0.016034470986681641, -0.011453893868101103, 0.0076402385680908857, -0.0045936464199395257, 0.0023141901670265959, -0.0008019008661443762, 5.6788028840925212e-05}; +}; + +struct case_tupw_hp_zeta_6_100Hz_1000Hz_z50 +{ + static constexpr int order = 6; + static constexpr double cutoff_hz = 100.0; + static constexpr double sample_rate_hz = 1000.0; + + static constexpr double b[7] = {0.34161996176623832, -2.0497197705974313, 5.1242994264935806, -6.8323992353247789, 5.1242994264935842, -2.0497197705974339, 0.34161996176623899}; + static constexpr double a[7] = {1, -3.751549292546219, 6.3285439779963841, -6.0501626063202458, 3.4536340020195988, -1.1172636650027756, 0.16252400915402615}; + static constexpr double step[256] = {0.34161996176623832, -0.42649568294739515, -0.34577691177201175, 0.052554257809341198, 0.3333255418112091, 0.33890832815663874, 0.14208507777152635, -0.093594720617252491, -0.23613678950319761, -0.24051681350454324, -0.14040520154576108, -0.0063741126077339061, 0.097349692115006992, 0.13811809994210122, 0.11807601389040023, 0.062096962477333539, 0.00083497759841244523, -0.042679960495401792, -0.059002111810921631, -0.051181221950743039, -0.02952733294362142, -0.0056013960194474244, 0.012147623169503241, 0.02015273351451885, 0.019220790149984346, 0.012738909735704906, 0.0046655666373411897, -0.0019444478251384734, -0.0055883981018427509, -0.0062283349754519435, -0.0047679865106700081, -0.0024240613220316565, -0.00023245838365704152, 0.0012043006613469132, 0.0017395880692741006, 0.0015552461639329884, 0.00098116069839959685, 0.00033825681214039172, -0.00015543840678811094, -0.00041102645136770199, -0.0004454532311106707, -0.00033513328852907698, -0.00016968831232211379, -1.9858403941031e-05, 7.6239254286125657e-05, 0.00011158889885098944, 0.0001000071319792184, 6.3710595801458325e-05, 2.333376163510259e-05, -7.5785394102467762e-06, -2.3745055106161317e-05, -2.6381192996582925e-05, -2.0208415022926474e-05, -1.0630805521882891e-05, -1.8554486287403194e-06, 3.8657088314852928e-06, 6.10344586116085e-06, 5.6316645817844346e-06, 3.7046891072645138e-06, 1.488919077363704e-06, -2.4554535515974862e-07, -1.1887143549493828e-06, -1.3919159429498507e-06, -1.1029472546386643e-06, -6.114368296117334e-07, -1.4604267661866288e-07, 1.6757621401630729e-07, 3.0084933988483442e-07, 2.9017163738487284e-07, 1.990154747666395e-07, 8.7897897627087218e-08, -2.2005541833181042e-09, -5.3698972379834231e-08, -6.7755090649157523e-08, -5.6038233609001509e-08, -3.2866398269604247e-08, -9.8763262013079611e-09, 6.2675113987609166e-09, 1.3731206838230037e-08, 1.4006553250567322e-08, 1.006353134158644e-08, 4.8502055705057501e-09, 4.3524739368194787e-10, -2.2266393173708821e-09, -3.1016911261616542e-09, -2.6950646159207281e-09, -1.672803673358203e-09, -5.974993833035569e-10, 1.92907023688349e-10, 5.8850790907172268e-10, 6.4227845264497319e-10, 4.8485215842219986e-10, 2.5290258776067276e-10, 4.6400217001973942e-11, -8.5028428742361939e-11, -1.350888290119201e-10, -1.2407053162633019e-10, -8.1469275770018612e-11, -3.3365754603664755e-11, 3.766320588738381e-12, 2.3765434065126101e-11, 2.8152591369234869e-11, 2.237476870448063e-11, 1.2512213487525514e-11, 3.220090860622804e-12, -3.0235813852641513e-12, -5.7054361235486795e-12, -5.5786486541364866e-12, -3.8946623703850491e-12, -1.8203216711754067e-12, -1.3256062914024369e-13, 8.4066087424616853e-13, 1.1224354778960333e-12, 9.2903462700633099e-13, 5.2313708920337376e-13, 1.1657341758564144e-13, -1.7008616737257398e-13, -3.0375701953744283e-13, -3.1086244689504383e-13, -2.4380497620768438e-13, -1.5432100042289676e-13, -7.8381745538536052e-14, -3.2862601528904634e-14, -1.8873791418627661e-14, -2.8199664825478976e-14, -4.929390229335695e-14, -7.1720407390785113e-14, -8.8817841970012523e-14, -9.7921670771938807e-14, -9.9031893796563963e-14, -9.3924867883288243e-14, -8.5487172896137054e-14, -7.6827433304060833e-14, -7.0610184366159956e-14, -6.8611782921834674e-14, -7.127631818093505e-14, -7.7271522513910895e-14, -8.4376949871511897e-14, -9.0150109599562711e-14, -9.2592600253738055e-14, -9.1038288019262836e-14, -8.6153306710912148e-14, -7.9936057773011271e-14, -7.4384942649885488e-14, -7.0832228971084987e-14, -6.9944050551384862e-14, -7.1498362785860081e-14, -7.460698725481052e-14, -7.8381745538536052e-14, -8.2156503822261584e-14, -8.482103908136196e-14, -8.5487172896137054e-14, -8.3488771451811772e-14, -7.971401316808624e-14, -7.6161299489285739e-14, -7.4384942649885488e-14, -7.4829031859735551e-14, -7.6827433304060833e-14, -7.9047879353311146e-14, -7.9936057773011271e-14, -7.9269923958236177e-14, -7.7937656328685989e-14, -7.7049477908985864e-14, -7.7271522513910895e-14, -7.8603790143461083e-14, -8.0380146982861334e-14, -8.1712414612411521e-14, -8.2378548427186615e-14, -8.2600593032111647e-14, -8.2600593032111647e-14, -8.2156503822261584e-14, -8.0824236192711396e-14, -7.8603790143461083e-14, -7.5939254884360707e-14, -7.3496764230185363e-14, -7.1942451995710144e-14, -7.1942451995710144e-14, -7.3718808835110394e-14, -7.7271522513910895e-14, -8.1712414612411521e-14, -8.5487172896137054e-14, -8.7485574340462335e-14, -8.7041485130612273e-14, -8.4154905266586866e-14, -7.9936057773011271e-14, -7.6605388699135801e-14, -7.5939254884360707e-14, -7.7937656328685989e-14, -8.149037000748649e-14, -8.5043083686286991e-14, -8.7707618945387367e-14, -8.9261931179862586e-14, -9.0150109599562711e-14, -9.0816243414337805e-14, -9.0594198809412774e-14, -8.8595797365087492e-14, -8.4598994476436928e-14, -7.8825834748386114e-14, -7.2386541205560206e-14, -6.7279515292284486e-14, -6.5059069243034173e-14, -6.5947247662734299e-14, -6.9277916736609768e-14, -7.3718808835110394e-14, -7.7715611723760958e-14, -7.971401316808624e-14, -7.9269923958236177e-14, -7.7049477908985864e-14, -7.4162898044960457e-14, -7.1720407390785113e-14, -7.0610184366159956e-14, -7.127631818093505e-14, -7.3274719625260332e-14, -7.5495165674510645e-14, -7.7271522513910895e-14, -7.8603790143461083e-14, -7.9936057773011271e-14, -8.1934459217336553e-14, -8.4376949871511897e-14, -8.6153306710912148e-14, -8.6153306710912148e-14, -8.4376949871511897e-14, -8.2156503822261584e-14, -8.1268325402561459e-14, -8.2378548427186615e-14, -8.482103908136196e-14, -8.6819440525687241e-14, -8.6375351315837179e-14, -8.2822637637036678e-14, -7.7049477908985864e-14, -7.1498362785860081e-14, -6.8389738316909643e-14, -6.8611782921834674e-14, -7.127631818093505e-14, -7.460698725481052e-14, -7.7049477908985864e-14, -7.815970093361102e-14, -7.8381745538536052e-14, -7.8603790143461083e-14, -7.9491968563161208e-14, -8.1046280797636427e-14, -8.2822637637036678e-14, -8.4154905266586866e-14, -8.482103908136196e-14, -8.5043083686286991e-14, -8.5043083686286991e-14, -8.4598994476436928e-14, -8.3266726846886741e-14, -8.1046280797636427e-14, -7.8381745538536052e-14, -7.5939254884360707e-14, -7.3940853440035426e-14, -7.2164496600635175e-14, -7.0388139761234925e-14, -6.9055872131684737e-14, -6.9055872131684737e-14}; + static constexpr double impulse[256] = {0.34161996176623832, -0.76811564471363347, 0.080718771175383175, 0.39833116958135223, 0.28077128400186679, 0.0055827863454296356, -0.19682325038510987, -0.23567979838877373, -0.14254206888593901, -0.0043800240013408542, 0.10011161195878351, 0.13403108893802482, 0.10372380472273557, 0.04076840782708735, -0.020042086051707486, -0.055979051413070385, -0.061261984878920039, -0.043514938093808991, -0.016322151315512762, 0.0078208898601845878, 0.021653889007124331, 0.023925936924172719, 0.017749019188946086, 0.0080051103450096833, -0.00093194336453921583, -0.0064818804142810788, -0.0080733430983622977, -0.0066100144624768806, -0.0036439502767019218, -0.00063993687360826279, 0.0014603484647815485, 0.0023439251886375528, 0.0021916029383747815, 0.0014367590450059912, 0.00053528740793061264, -0.00018434190533837087, -0.00057408546553364278, -0.00064290388626331383, -0.00049369521893543353, -0.00025558804458672099, -3.4426779747659506e-05, 0.00011031994258120425, 0.00016544497621145238, 0.00014982990838936902, 9.6097658236123768e-05, 3.5349644571520727e-05, -1.1581766869149599e-05, -3.6296536179306106e-05, -4.03768341705901e-05, -3.0912301050161774e-05, -1.6166515699417652e-05, -2.6361378915539015e-06, 6.1727779751382695e-06, 9.5776095044575453e-06, 8.7753568971494714e-06, 5.721157463079754e-06, 2.2377370302399183e-06, -4.7178128128429437e-07, -1.9269754781819627e-06, -2.2157700337486129e-06, -1.7344644353862901e-06, -9.43169000831079e-07, -2.0320158708456942e-07, 2.8896869056893058e-07, 4.9151042755676291e-07, 4.6539415479875418e-07, 3.1361889143923388e-07, 1.3327312611845627e-07, -1.0677702296795119e-08, -9.1156162388260135e-08, -1.1111757719683932e-07, -9.0098452469641642e-08, -5.1498419154502608e-08, -1.4056119257471637e-08, 1.1716855878474786e-08, 2.3171833813218254e-08, 2.2990070275121263e-08, 1.6143836429612784e-08, 7.4636961698651938e-09, 2.7534981215376787e-10, -3.9430163994500758e-09, -5.2133198804242955e-09, -4.4149540904730007e-09, -2.6618860923310425e-09, -8.7505473614636551e-10, 4.0662097003588885e-10, 1.0222548164007866e-09, 1.0752993769121463e-09, 7.9040326033627304e-10, 3.9559879016087251e-10, 5.376889531060844e-11, -1.5742742838354006e-10, -2.3195017238317377e-10, -2.0650209661111486e-10, -1.314269058834476e-10, -5.0056724158548062e-11, 1.102374270332684e-11, 4.2607042392611158e-11, 4.8107472134925505e-11, 3.7133094061646819e-11, 1.9997410264338593e-11, 4.3835968545657678e-12, -5.7818775145199373e-12, -9.8652531384186818e-12, -9.2925420542001161e-12, -6.2420189462811639e-12, -2.679303366111841e-12, 1.2861459097817898e-13, 1.6840077839651181e-12, 2.0722438515556944e-12, 1.6845602560104413e-12, 9.7074733361314106e-13, 2.8160606249176676e-13, -1.9128877533235413e-13, -4.0290991744487489e-13, -4.0449193144911256e-13, -2.8673151839287345e-13, -1.3601307267297019e-13, -1.0893034589443344e-14, 6.3026140789600615e-14, 8.630563477605781e-14, 7.4135824554754928e-14, 4.5512441657879055e-14, 1.5999241773440188e-14, -5.3526290371387105e-15, -1.5829999926925199e-14, -1.7095453211209659e-14, -1.2792840191002184e-14, -6.6131880539345495e-15, -1.189453821815642e-15, 2.2158789235528254e-15, 3.4840409661405686e-15, 3.175852370828786e-15, 2.0702951597364351e-15, 8.4034082244958944e-16, -9.8517224620983868e-17, -5.9787659711970829e-16, -7.0331192021788815e-16, -5.5618256660696314e-16, -3.1020449363598985e-16, -8.0871426501084773e-17, 7.1762248386416125e-17, 1.3646583491685262e-16, 1.3275776801128247e-16, 9.1703664072844503e-17, 4.1728364758555007e-17, 1.4192835002360244e-18, -2.1624711339875428e-17, -2.8209213001136641e-17, -2.3622072657071782e-17, -1.4113291973173563e-17, -4.6360193925503511e-18, 2.0400782807218234e-18, 5.184394897107249e-18, 5.4248526786412024e-18, 3.9667362967568662e-18, 1.98482919897326e-18, 2.9152759366251686e-19, -7.4268044948923738e-19, -1.1038613220029394e-18, -9.8196701271500431e-19, -6.2534216485092073e-19, -2.4204378234962472e-19, 4.3588991107599419e-20, 1.9064310988595443e-19, 2.1693880326638474e-19, 1.6793556643242362e-19, 9.1199583584907472e-20, 2.1493946327313195e-20, -2.3800357302431724e-20, -4.2135510372974666e-20, -4.0009406368763323e-20, -2.7068665902410891e-20, -1.188482940337871e-20, 9.1379494265649126e-23, 6.7561509593878256e-21, 8.4948247943541824e-21, 6.9705194680574845e-21, 4.071415699044898e-21, 1.2563414356744282e-21, -6.8459537818655499e-22, -1.5670790203100946e-21, -1.5992968064957769e-21, -1.1474011080781741e-21, -5.5809082102322985e-22, -6.5274386854166503e-23, 2.2886751235825349e-22, 3.2571460003545061e-22, 2.8403160302568999e-22, 1.7732452785573152e-22, 6.5711343985567632e-23, -1.5834350164484239e-23, -5.6646827557980238e-23, -6.2752939937959136e-23, -4.7715836145494942e-23, -2.5312635093843507e-23, -5.3887268428170215e-24, 7.2971894379915578e-24, 1.2220926374322121e-23, 1.1372416434805418e-23, 7.5574652743789302e-24, 3.211418397674334e-24, -1.5291303195740095e-25, -1.9815051133634911e-24, -2.4173190805261648e-24, -1.9494712769178477e-24, -1.1160184409762999e-24, -3.2404032432623779e-25, 2.1202405685048326e-25, 4.480487717816682e-25, 4.4769503079515547e-25, 3.1589935614357844e-25, 1.4971005874673193e-25, 1.3244066029527497e-26, -6.6563620068108889e-26, -9.1388206242026534e-26, -7.8329878689426743e-26, -4.8040621478105949e-26, -1.7074169148481502e-26, 5.1639191995755636e-27, 1.6009952681778848e-26, 1.7332911326579618e-26, 1.2972508662992954e-26, 6.7348498183121206e-27, 1.2878662205054368e-27, -2.11796718191568e-27, -3.3879064395745914e-27, -3.0974574996768551e-27, -2.0253551354937722e-27, -8.3421365880411845e-28, 7.2785763245731435e-29, 5.5520959310657592e-28, 6.5991474940834262e-28, 5.2402425377784511e-28, 2.9446846400373334e-28, 8.0403870393604407e-29, -6.2103542679952574e-29, -1.2296593994590657e-28, -1.2059632616640279e-28, -8.381738299487424e-29, -3.8752787637953347e-29, -2.342621459946244e-30, 1.8554977172240678e-29, 2.469621582123748e-29, 2.084146815125429e-29, 1.2573148935890019e-29, 4.2875942195713079e-30, -1.5704903023263245e-30, -4.3586525642251711e-30, -4.6235083730974753e-30, -3.4106145128266769e-30, -1.7347357819702161e-30, -2.9499838253236494e-31, 5.9026229087717418e-31, 9.0759678555809925e-31, 8.1662295725936578e-31}; + static constexpr double chirp_in[4096] = {1, 0.99999992642979929, 0.99999882287700514, 0.99999404081958787, 0.9999811660875062, 0.99995401897637071, 0.99990465453387189, 0.99982336314626385, 0.99969867158853654, 0.99951734473821929, 0.99926438818900221, 0.998923052036508, 0.99847483614453059, 0.99789949723582638, 0.99717505818699503, 0.99627781994202647, 0.99518237649358454, 0.9938616334148932, 0.99228683045801158, 0.99042756876612315, 0.98825184327798898, 0.98572608093165093, 0.98281518530153245, 0.97948258832792745, 0.9756903098201305, 0.97139902543374301, 0.96656814383854717, 0.96115589380530031, 0.95511942194735522, 0.94841490185561306, 0.94099765536237645, 0.93282228666059408, 0.92384282998911005, 0.91401291157120323, 0.90328592646221384, 0.89161523092170281, 0.87895435087564089, 0.86525720697385833, 0.85047835667664762, 0.83457325372130264, 0.81749852522376165, 0.79921226656174948, 0.77967435406322239, 0.75884677538693723, 0.73669397733007314, 0.7131832306305963, 0.68828501114913054, 0.66197339661628929, 0.6342264779166199, 0.60502678364962148, 0.57436171646195799, 0.54222399938345511, 0.50861213012343165, 0.4735308409942906, 0.43699156182725674, 0.39901288293222104, 0.35962101483159181, 0.31885024116901001, 0.27674336086026408, 0.2333521152185779, 0.18873759545291671, 0.14297062560971868, 0.096132115709591626, 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0.99990465453387189, 0.95270229095965364, 0.82276590205091937, 0.62078697520272341, 0.36391230372523531, 0.074347571843515148, -0.22252093395631911, -0.50033216089251542, -0.73409463523198404, -0.90246139255836555, -0.98972693214480445, -0.98735610690369835, -0.89489156836093631, -0.72013871347379788, -0.47859081942819004, -0.19212671735370601, 0.11291736677555103, 0.40813786714038369, 0.66570278481121115, 0.8609957613666358, 0.97501319700248934, 0.99627781994202547, 0.92207112396763291, 0.75884677538694123, 0.5217624778744816, 0.23335211521858765, -0.07855469695947305, -0.38348066697558636, -0.65126920047307302, -0.85508594369616242, -0.97415389500088145, -0.99593983608294245, -0.91755646763273546, -0.74621699410735365, -0.49867062121686356, -0.19964984230321028, 0.12053668025531283, 0.42903908336570928, 0.69383011851338472, 0.88705510950404576, 0.98801617809016951, 0.98546660117894946, 0.878954350875643, 0.67904717547725413, 0.40638618731229703, 0.089639308903445084, 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0.91401291157148634, -0.93488015141986835, 0.95270229095934222, -0.96754459005129689, 0.97948258832790669, -0.98860097853575635, 0.99499250904627312, -0.99875692121885906, 0.99999992642979951, -0.99883222683233175, 0.99536858315373955, -0.98972693214479546, 0.98202755565360222, -0.97239230268577204, 0.96094386528012321, -0.94780510850434307, 0.93309845444673789, -0.91694531966419934, 0.89946560517507124, -0.88077723780042294, 0.86099576136681266, -0.84023397603959249, 0.81860162390640867, -0.796205118714578, 0.77314731759783095, -0.74952733250471737, 0.72544037896198199, -0.70097765980604587, 0.67622628148050334, -0.65126920047273773, 0.62618519753795332, -0.60104887736144608, 0.57593069136480424, -0.55089698145218191, 0.52601004251397765, -0.50132820166018488, 0.47690591218530526, -0.45279386036808306, 0.4290390833651167, -0.40568509645037554, 0.3827720280763382, -0.36033676125198227, 0.33841307983513402, -0.31703181849472845, 0.29622101515464083, -0.2760060647928777, 0.25640987367073959, -0.23745301300816751, 0.2191538713382635, -0.20152880479604404, 0.18459228461925636, -0.16835704134700888, 0.15283420512977428, -0.13803344170061341, 0.12396308361540023, -0.110630256377754, 0.098040999160336914, -0.086200379880266867, 0.075112604335562244, -0.064781119288953887, 0.055208709333225685, -0.046397587328288914, 0.038349478447046295, -0.03106569760236999, 0.024547220292490568, -0.018794746789342908, 0.013808759594209193, -0.0095895741816169593, 0.0061373830151254354, -0.0034522927602768901, 0.0015343547837478589, -0.00038358883724551112, -4.1594761818964385e-13}; + static constexpr double chirp[4096] = {0.34161996176623832, -0.42649570808044429, -0.34577725739030235, 0.052553120262446795, 0.3333235607892166, 0.33890611618503497, 0.14208359970999596, -0.093594705872445505, -0.23613513588303825, -0.24051403457092263, -0.14040219643963497, -0.0063717631454350276, 0.097350847493901715, 0.13811799544520204, 0.11807498289277935, 0.062095538746504142, 0.000833676251706994, -0.042680798995974656, -0.0590023781101216, -0.051181004148226961, -0.029526830597240483, -0.0056008256702194115, 0.012148098053829881, 0.020153033826376732, 0.01922091652188912, 0.012738915389411798, 0.0046655236830619451, -0.001944476082576696, -0.0055883725221062552, -0.0062282433145372518, -0.0047678372147677006, -0.0024238734772706882, -0.00023225223555817243, 0.0012045099945354187, 0.0017397929990137229, 0.0015554458854075692, 0.00098135870086474286, 0.00033845804181259487, -0.00015522976213405704, -0.00041080814304106372, -0.00044522514929290491, -0.0003348970058065226, -0.00016944636415855419, -1.9613623633563115e-05, 7.6484169477475383e-05, 0.00011183155193697503, 0.00010024537758734908, 6.3942376106684851e-05, 2.3556920016987171e-05, -7.3664039930698699e-06, -2.3546666710089204e-05, -2.6199613610472516e-05, -2.0047015809460111e-05, -1.0493218308982311e-05, -1.745516759965593e-06, 3.9439697888665748e-06, 6.1458753431581359e-06, 5.6339756346057701e-06, 3.6624842393029322e-06, 1.3977090015521165e-06, -3.9031615568785316e-07, -1.391633397768155e-06, -1.6575597270029885e-06, -1.4358303187557431e-06, -1.0159540471793278e-06, -6.2640576511951984e-07, -3.9259261373769672e-07, -3.4275956913021322e-07, -4.4010749555845052e-07, -6.2067610936966666e-07, -8.2337174481250663e-07, -1.0065438131451332e-06, -1.151843701696631e-06, -1.2595602820741902e-06, -1.3403902912878518e-06, -1.4075739466767878e-06, -1.4715648170016138e-06, -1.5377400259808383e-06, -1.6065447453195159e-06, -1.6750015967015308e-06, -1.7385646058354354e-06, -1.7926278425006714e-06, -1.8333936970260645e-06, -1.8581206831513875e-06, -1.8649462242836812e-06, -1.8525231533228492e-06, -1.8196630103273215e-06, -1.7650959172055281e-06, -1.6873765004143948e-06, -1.5849105302057076e-06, -1.4560529245644105e-06, -1.2992285509105805e-06, -1.1130419665383862e-06, -8.9636058503428373e-07, -6.4837071728218731e-07, -3.6861453744929662e-07, -5.7018407939590787e-08, 2.8607891039422739e-07, 6.598934396695455e-07, 1.0631576543573829e-06, 1.4940784273109742e-06, 1.9502943506277681e-06, 2.4288356831880797e-06, 2.9260896237670586e-06, 3.4377728715118128e-06, 3.9589128162931253e-06, 4.4838383044809582e-06, 5.0061808316986811e-06, 5.5188871064953959e-06, 6.0142440301350075e-06, 6.4839172980030169e-06, 6.9190048584159489e-06, 7.3101063983935233e-06, 7.647409928868143e-06, 7.9207962764560325e-06, 8.1199620665939332e-06, 8.2345614468570805e-06, 8.2543664690903906e-06, 8.169445669281572e-06, 7.9703599849267892e-06, 7.6483746737909808e-06, 7.1956854449939378e-06, 6.6056564699823461e-06, 5.8730673673790257e-06, 4.9943657128848074e-06, 3.9679210123710895e-06, 2.7942754831644656e-06, 1.4763864205069588e-06, 1.9854366206661922e-08, -1.5668691962789083e-06, -3.2723013371205312e-06, -5.0817814374326531e-06, -6.9773665382633077e-06, -8.9377757325759255e-06, -1.0938391031389827e-05, -1.2951321948451167e-05, -1.494554067102416e-05, -1.6887094090423105e-05, -1.8739398189665524e-05, -2.0463619194693861e-05, -2.2019144615997854e-05, -2.3364145790655266e-05, -2.4456231650232807e-05, -2.5253191466677403e-05, -2.5713822017492394e-05, -2.5798832041346031e-05, -2.5471814316779806e-05, -2.470027271014863e-05, -2.3456688747369725e-05, -2.1719609273412877e-05, -1.9474733817470558e-05, -1.6715977571357676e-05, -1.3446483221601913e-05, -9.6795526337567495e-06, -5.4394675046975927e-06, -7.6216671224260679e-07, 4.3042526682302018e-06, 9.6992437237375384e-06, 1.5349759682758979e-05, 2.1170476034393371e-05, 2.7064312553504166e-05, 3.292327917314708e-05, 3.8629664682932052e-05, 4.4057581092243892e-05, 4.9074869239329466e-05, 5.3545362802581709e-05, 5.7331498445833962e-05, 6.0297249402999076e-05, 6.2311348701118985e-05, 6.3250756469691513e-05, 6.3004313679428103e-05, 6.1476512711489129e-05, 5.8591303233379577e-05, 5.4295840943852092e-05, 4.8564076662815925e-05, 4.1400074972414158e-05, 3.2840945035306213e-05, 2.2959262416355486e-05, 1.1864859673693662e-05, -2.9413426122504305e-07, 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1.0004106628179548, -0.99504256013016579, 0.97315265460244227, -0.93539499488266087, 0.8826689204826984, -0.81609391922182117, 0.73698191595389995, -0.6468076469064602, 0.547177764634043, -0.43979929748904512, 0.32644805601401994, -0.2089375382773794, 0.089088838486210978, 0.031297990222347277, -0.15047072557291524, 0.26674958567523149, -0.378549387140932, 0.4843990424363222, -0.58295824770814419, 0.67303127077503089, -0.75357780436017907, 0.8237209011417288, -0.88275205427722325, 0.93013352922976744, -0.96549808964915995, 0.9886462915139953, -0.99954154568994447, 0.99830316955230791, -0.98519766339522419, 0.96062845732612678, -0.92512437947235882, 0.87932709692668043, -0.82397777738871225, 0.75990321229978286, -0.68800163189721464, 0.60922842950568468, -0.52458199697339813, 0.43508985595311356, -0.34179525114944559, 0.24574435212805312, -0.1479741902115396, 0.049501436754320116, 0.048687890963756121, -0.14564772959944719, 0.24048022762764665, -0.33234293140596127, 0.42045488636677886, 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0.3490129069072902, -0.32736230982699266, 0.30626896053075126, -0.28575951676478561, 0.26585807235222203, -0.24658631129036795, 0.22796366089609341, -0.21000744319197118, 0.19273302390123026, -0.17615395834054165, 0.16028213369455427, -0.14512790720806473, 0.13070023976926098, -0.11700682459312434, 0.10405421063857132, -0.091847920448625553, 0.080392562246453428, -0.069691935988125564, 0.05974913326232157, -0.050566630922888489, 0.042146378230232547, -0.034489877522665316, 0.02759825830662839, -0.021472344652865287, 0.016112715974616849, -0.011519761042907146, 0.0076937252521070837, -0.0046347511973412418, 0.0023429124146276113, -0.00081824038728788332, 6.0744801470660577e-05}; +}; + +struct case_hp_zeta_7_100Hz_1000Hz_z50 +{ + static constexpr int order = 7; + static constexpr double cutoff_hz = 100.0; + static constexpr double sample_rate_hz = 1000.0; + + static constexpr double b[8] = {1, -5.6374709417913138, 14.154371665403207, -20.410642504217531, 18.152263089391028, -9.9054220728390181, 3.0571275513385503, -0.41022678728492135}; + static constexpr double a[8] = {1, -4.2829646384529365, 8.2869568188550424, -9.3067653574527593, 6.5296622338484536, -2.856379025177219, 0.72114058055697028, -0.081002592157943643}; + static constexpr double step[256] = {1, -0.35450630333837729, -0.28839405655008932, 0.11562045848015323, 0.31465952062592883, 0.22980272008992753, 0.012317158593226907, -0.16522273934062781, -0.21610272508087469, -0.15022027700304896, -0.031814858198907281, 0.071189005303190278, 0.11935472702454053, 0.10892136445946665, 0.061069455884162238, 0.0048477186589188648, -0.036840273264059142, -0.053811074174552331, -0.04800785610397007, -0.028645707280582577, -0.006471848895571064, 0.010458439787962348, 0.018556139124951798, 0.018314021096201394, 0.012696192807515772, 0.0053001640524819038, -0.0010134057290906995, -0.0047493713393302883, -0.0057404459635836957, -0.0047068518455652963, -0.0027055189664944024, -0.0006837667489500987, 0.00076370790260948951, 0.0014377884771263894, 0.0014420553796767877, 0.0010351205830527732, 0.00049423485087274344, 2.6765882323864787e-05, -0.00026283449935249337, -0.00036270712531472071, -0.00032020983733183073, -0.00020455548196096629, -7.8060257508560937e-05, 1.902770950845678e-05, 7.1168903032159392e-05, 8.1953681056567973e-05, 6.5272737279187254e-05, 3.7127724565877429e-05, 1.0192403038900011e-05, -8.4333293060012693e-06, -1.6944276438835004e-05, -1.7149880257250061e-05, -1.2457315096803256e-05, -6.2372176756753106e-06, -8.8155843602777395e-07, 2.4654380235133999e-06, 3.7080846615467067e-06, 3.3852149678992305e-06, 2.249983487523366e-06, 9.6603670662886998e-07, -4.2431712365953445e-08, -6.0912062505025233e-07, -7.6305400131815304e-07, -6.3721815202200105e-07, -3.8664145840527908e-07, -1.3517981578559102e-07, 4.6127101249737734e-08, 1.3648108865282893e-07, 1.4963397720890725e-07, 1.1515675524265134e-07, 6.3286814899754518e-08, 1.6110215383946525e-08, -1.5150368959382376e-08, -2.8606615742887698e-08, -2.8198670065648912e-08, -2.0059648164760802e-08, -9.8356833788670883e-09, -1.30584165702885e-09, 3.8715395334065761e-09, 5.7035327571952621e-09, 5.1353126195863297e-09, 3.3748692729318464e-09, 1.4379777368844771e-09, -5.4016346950902516e-11, -8.7679818960850753e-10, -1.0925420568241861e-09, -9.0693230703209338e-10, -5.4832671736448901e-10, -1.9349233326693138e-10, 5.9530158580400894e-11, 1.8444801241912501e-10, 2.0257306942994546e-10, 1.5587353630053258e-10, 8.6060936155263335e-11, 2.2957635792408837e-11, -1.8660628597899631e-11, -3.6588509999546659e-11, -3.6263436697936413e-11, -2.5859314689569146e-11, -1.2774670210546901e-11, -1.8882673202824662e-12, 4.7055692675712635e-12, 7.056577544517495e-12, 6.3931082650015014e-12, 4.2499337382650992e-12, 1.8953727476400672e-12, 8.8817841970012523e-14, -9.0949470177292824e-13, -1.1883827255587676e-12, -1.0009770790020411e-12, -6.1550764485218679e-13, -2.2915003228263231e-13, 5.595524044110789e-14, 2.1493917756743031e-13, 2.6645352591003757e-13, 2.4602542225693469e-13, 1.8829382497642655e-13, 1.2079226507921703e-13, 6.3948846218409017e-14, 3.0198066269804258e-14, 2.4868995751603507e-14, 4.6185277824406512e-14, 8.4376949871511897e-14, 1.2523315717771766e-13, 1.5454304502782179e-13, 1.6253665080512292e-13, 1.4743761767022079e-13, 1.1635137298071641e-13, 8.2600593032111647e-14, 5.6843418860808015e-14, 4.4408920985006262e-14, 4.7961634663806763e-14, 6.8389738316909643e-14, 1.0302869668521453e-13, 1.4477308241112041e-13, 1.8118839761882555e-13, 1.9895196601282805e-13, 1.9095836023552692e-13, 1.6076029396572267e-13, 1.1990408665951691e-13, 7.9936057773011271e-14, 4.8849813083506888e-14, 3.0198066269804258e-14, 2.4868995751603507e-14, 3.1974423109204508e-14, 4.7961634663806763e-14, 6.6613381477509392e-14, 8.2600593032111647e-14, 9.2370555648813024e-14, 9.3258734068513149e-14, 8.5265128291212022e-14, 7.1942451995710144e-14, 5.9507954119908391e-14, 5.4178883601707639e-14, 5.9507954119908391e-14, 7.5495165674510645e-14, 9.9475983006414026e-14, 1.2789769243681803e-13, 1.5720758028692217e-13, 1.829647544582258e-13, 2.007283228522283e-13, 2.0605739337042905e-13, 1.971756091734278e-13, 1.7852386235972517e-13, 1.5898393712632242e-13, 1.4477308241112041e-13, 1.3500311979441904e-13, 1.2523315717771766e-13, 1.1191048088221578e-13, 9.5923269327613525e-14, 8.0824236192711396e-14, 7.1054273576010019e-14, 7.0166095156309893e-14, 7.9936057773011271e-14, 9.8587804586713901e-14, 1.2168044349891716e-13, 1.4299672557172016e-13, 1.5631940186722204e-13, 1.5987211554602254e-13, 1.5543122344752192e-13, 1.4566126083082054e-13, 1.3500311979441904e-13, 1.2700951401711791e-13, 1.2079226507921703e-13, 1.1191048088221578e-13, 9.4146912488213275e-14, 6.3948846218409017e-14, 2.4868995751603507e-14, -1.2434497875801753e-14, -3.5527136788005009e-14, -3.6415315207705135e-14, -1.5987211554602254e-14, 1.6875389974302379e-14, 5.0626169922907138e-14, 7.638334409421077e-14, 9.0594198809412774e-14, 9.50350909079134e-14, 9.4146912488213275e-14, 9.4146912488213275e-14, 9.9475983006414026e-14, 1.1013412404281553e-13, 1.2168044349891716e-13, 1.2878587085651816e-13, 1.2700951401711791e-13, 1.1546319456101628e-13, 9.681144774731365e-14, 7.3718808835110394e-14, 4.7073456244106637e-14, 1.865174681370263e-14, -7.1054273576010019e-15, -2.3092638912203256e-14, -2.2204460492503131e-14, -8.8817841970012523e-16, 3.907985046680551e-14, 9.0594198809412774e-14, 1.4122036873231991e-13, 1.7852386235972517e-13, 1.9628743075372768e-13, 1.9628743075372768e-13, 1.8562928971732617e-13, 1.6964207816272392e-13, 1.4743761767022079e-13, 1.1635137298071641e-13, 7.7271522513910895e-14, 3.4638958368304884e-14, -2.6645352591003757e-15, -2.3980817331903381e-14, -2.3092638912203256e-14, -2.6645352591003757e-15, 2.7533531010703882e-14, 5.595524044110789e-14, 7.638334409421077e-14, 8.8817841970012523e-14, 9.7699626167013776e-14, 1.092459456231154e-13, 1.2523315717771766e-13, 1.4210854715202004e-13, 1.5365486660812167e-13, 1.5543122344752192e-13, 1.4743761767022079e-13, 1.3411494137471891e-13, 1.1990408665951691e-13, 1.0480505352461478e-13, 8.7929663550312398e-14, 6.9277916736609768e-14, 4.9737991503207013e-14, 3.1974423109204508e-14, 2.1316282072803006e-14, 2.3980817331903381e-14, 4.4408920985006262e-14, 8.1712414612411521e-14, 1.2789769243681803e-13, 1.7141843500212417e-13, 2.0161650127192843e-13, 2.0961010704922955e-13, 1.9095836023552692e-13}; + static constexpr double impulse[256] = {1, -1.3545063033383773, 0.066112246788287976, 0.40401451503024166, 0.19903906214577294, -0.084856800536004751, -0.21748556149670339, -0.1775398979338555, -0.050879985740245104, 0.065882448077829836, 0.11840541880414823, 0.10300386350210533, 0.048165721721356414, -0.010433362565071685, -0.047851908575307259, -0.056221737225250978, -0.041687991922989553, -0.016970800910506401, 0.005803218070572283, 0.019362148823387625, 0.022173858385025655, 0.016930288683559794, 0.0080976993370199812, -0.00024211802872724925, -0.0056178282886779557, -0.0073960287550424962, -0.0063135697815918657, -0.0037359656102614013, -0.00099107462427151793, 0.0010335941180061618, 0.0020013328790665112, 0.0020217522175497698, 0.00144747465157531, 0.00067408057454055367, 4.2669025767708667e-06, -0.00040693479660059686, -0.00054088573216411044, -0.00046746896854256512, -0.00028960038167753733, -9.9872625967190173e-05, 4.2497287977127398e-05, 0.00011565435536623335, 0.00012649522444805814, 9.7087967009744239e-05, 5.2141193510405631e-05, 1.07847780037432e-05, -1.6680943803948056e-05, -2.8145012740455415e-05, -2.6935321548141587e-05, -1.8625732353232479e-05, -8.510947121915792e-06, -2.0560378568166486e-07, 4.69256520846765e-06, 6.2200974697107589e-06, 5.3556592726625939e-06, 3.3469964671794866e-06, 1.2426466206003557e-06, -3.2286972542203595e-07, -1.1352315119170783e-06, -1.2839467999600557e-06, -1.0084684197428602e-06, -5.6668889590972192e-07, -1.5393335042026893e-07, 1.2583586990157035e-07, 2.505766965024999e-07, 2.5146162297385237e-07, 1.8130688151099882e-07, 9.0353951938149496e-08, 1.315286821478856e-08, -3.4477220137794475e-08, -5.1869919996508863e-08, -4.7176573385102059e-08, -3.1260566556515541e-08, -1.3456243979380091e-08, 4.0793571714575384e-10, 8.1390061751750091e-09, 1.0223950832852987e-08, 8.5298342000207203e-09, 5.1773827711480033e-09, 1.8320055234730428e-09, -5.6819589951119592e-10, -1.7604083047120972e-09, -1.9368525890751092e-09, -1.4919622515230725e-09, -8.2276749904276475e-10, -2.1575325667976718e-10, 1.8557873361259317e-10, 3.585620019817965e-10, 3.5479003694234004e-10, 2.5298759305766713e-10, 1.2489831455384307e-10, 1.8121998235539848e-11, -4.668994713582697e-11, -6.9798266269058616e-11, -6.3093139860259741e-11, -4.1617159468901317e-11, -1.7934495372335681e-11, 3.1724207594173579e-13, 1.0404520502479222e-11, 1.3101510421207849e-11, 1.0920990015230187e-11, 6.6369085567091164e-12, 2.3869089349288163e-12, -6.4833693624911782e-13, -2.1537858283777402e-12, -2.3849689990253033e-12, -1.8428229772187687e-12, -1.0235676373949982e-12, -2.8094855840525877e-13, 2.1014824960834136e-13, 4.2346382875528415e-13, 4.2265456352924394e-13, 3.0333635770428461e-13, 1.5190733180759161e-13, 2.5304339564522531e-14, -5.1913937346835212e-14, -8.0052361242405087e-14, -7.3102971816362831e-14, -4.8693731987357351e-14, -2.1497153135811642e-14, -4.1499830422594143e-16, 1.1352211415283665e-14, 1.465890317438253e-14, 1.2360451323215616e-14, 7.6133236243420574e-15, 2.8506941078505479e-15, -5.7956276792785389e-16, -2.3087541623372615e-15, -2.6126288736142398e-15, -2.0448513531523298e-15, -1.1563526802840659e-15, -3.4126499596549735e-16, 2.0383405078897693e-16, 4.4667982094863524e-16, 4.5465620017403758e-16, 3.3105491757068118e-16, 1.6982939364565259e-16, 3.3305476889807973e-17, -5.1173136809879758e-17, -8.3225684419290311e-17, -7.7415897759099868e-17, -5.2423477906443904e-17, -2.3925813512008051e-17, -1.5294869213117221e-18, 1.1204857049069751e-17, 1.5043585176831488e-17, 1.291480839380558e-17, 8.1087523321866739e-18, 3.1868685687915247e-18, -4.1183284981819435e-19, -2.2703774388820215e-18, -2.650410588065214e-18, -2.1122550113762043e-18, -1.2221289874118449e-18, -3.8982179769311266e-19, 1.7623682572562874e-19, 4.3682111489495801e-19, 4.5654317753355621e-19, 3.3871909487067576e-19, 1.7874285168087155e-19, 4.0764566220928115e-20, -4.6276136915780735e-20, -8.08901960540344e-20, -7.7043747871343034e-20, -5.3227653901806124e-20, -2.5195025732275938e-20, -2.7570957450606687e-21, 1.0294488572477191e-20, 1.453184318314066e-20, 1.2753456393363531e-20, 8.186474283237637e-21, 3.3822260006499766e-21, -1.9725352964499711e-22, -2.0980113175230161e-21, -2.5453212130195241e-21, -2.0722218023624865e-21, -1.2296022304193177e-21, -4.2269792851112174e-22, 1.3716709801828833e-22, 4.0423124000571718e-22, 4.3608626772941403e-22, 3.3052752657281808e-22, 1.7971535140229146e-22, 4.673114595262153e-23, -3.9018163560627342e-23, -7.4805896557710206e-23, -7.3237737620244213e-23, -5.1730431731441011e-23, -2.5411719540341112e-23, -3.8918243383481037e-24, 8.9409071626378685e-24, 1.3416562471002666e-23, 1.2072913440230222e-23, 7.9355752327967637e-24, 3.4423684447402146e-24, 2.2681322711465153e-26, -1.8472368376128126e-24, -2.3450939781539238e-24, -1.9548769765509671e-24, -1.1908966379908957e-24, -4.3883683818944875e-25, 9.4552402731658318e-26, 3.5835475699061756e-25, 4.0091225999480176e-25, 3.1098623981317878e-25, 1.7429831661508001e-25, 5.0719633205588925e-26, -3.0853392316779517e-26, -6.6544766331048487e-26, -6.7193424565603051e-26, -4.8588622009331767e-26, -2.4757038654039204e-26, -4.8066500028531752e-27, 7.4022411903568529e-27, 1.1954416822591235e-26, 1.1057113870270759e-26, 7.4491141607806299e-27, 3.3851716070465167e-27, 2.2023570995240649e-28, -1.5626325619512636e-27, -2.090891619288401e-27, -1.7879927457122932e-27, -1.1187709838338321e-27, -4.3932314875399425e-28, 5.3904311936737152e-29, 3.0671034699790548e-28, 3.5751057706959953e-28, 2.8420882720989852e-28, 1.6417160698818683e-28, 5.2628539619694375e-29, -2.281318844094686e-29, -5.7348710695501674e-29, -5.9917184276409648e-29, -4.4399372249806899e-29, -2.3440501069258907e-29, -5.4439839708873838e-30, 5.863374850471788e-30, 1.0346714820506403e-29, 9.8596358552003745e-30, 6.8119094993331944e-30, 3.2347313345829992e-30, 3.8016180526599515e-31, -1.2762630223601854e-30, -1.8147868495324113e-30, -1.5946350482916932e-30, -1.0249835045263403e-30, -4.2655274152469036e-31, 1.8515252720280436e-32, 2.5471165874981262e-31, 3.1090945393837552e-31, 2.5360434133363027e-31, 1.5091982511822108e-31, 5.262103546713445e-32, -1.5540599154116173e-32, -4.8111262141951204e-32, -5.2185411013582983e-32}; + static constexpr double chirp_in[4096] = {1, 0.99999992642979929, 0.99999882287700514, 0.99999404081958787, 0.9999811660875062, 0.99995401897637071, 0.99990465453387189, 0.99982336314626385, 0.99969867158853654, 0.99951734473821929, 0.99926438818900221, 0.998923052036508, 0.99847483614453059, 0.99789949723582638, 0.99717505818699503, 0.99627781994202647, 0.99518237649358454, 0.9938616334148932, 0.99228683045801158, 0.99042756876612315, 0.98825184327798898, 0.98572608093165093, 0.98281518530153245, 0.97948258832792745, 0.9756903098201305, 0.97139902543374301, 0.96656814383854717, 0.96115589380530031, 0.95511942194735522, 0.94841490185561306, 0.94099765536237645, 0.93282228666059408, 0.92384282998911005, 0.91401291157120323, 0.90328592646221384, 0.89161523092170281, 0.87895435087564089, 0.86525720697385833, 0.85047835667664762, 0.83457325372130264, 0.81749852522376165, 0.79921226656174948, 0.77967435406322239, 0.75884677538693723, 0.73669397733007314, 0.7131832306305963, 0.68828501114913054, 0.66197339661628929, 0.6342264779166199, 0.60502678364962148, 0.57436171646195799, 0.54222399938345511, 0.50861213012343165, 0.4735308409942906, 0.43699156182725674, 0.39901288293222104, 0.35962101483159181, 0.31885024116901001, 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-0.36033676125198227, 0.33841307983513402, -0.31703181849472845, 0.29622101515464083, -0.2760060647928777, 0.25640987367073959, -0.23745301300816751, 0.2191538713382635, -0.20152880479604404, 0.18459228461925636, -0.16835704134700888, 0.15283420512977428, -0.13803344170061341, 0.12396308361540023, -0.110630256377754, 0.098040999160336914, -0.086200379880266867, 0.075112604335562244, -0.064781119288953887, 0.055208709333225685, -0.046397587328288914, 0.038349478447046295, -0.03106569760236999, 0.024547220292490568, -0.018794746789342908, 0.013808759594209193, -0.0095895741816169593, 0.0061373830151254354, -0.0034522927602768901, 0.0015343547837478589, -0.00038358883724551112, -4.1594761818964385e-13}; + static constexpr double chirp[4096] = {1, -0.354506376908578, -0.28839513402178274, 0.11561608885636965, 0.31464865091519978, 0.22978136552657635, 0.012280213915274008, -0.1652819494646276, -0.21619265220290163, -0.15035102491269647, -0.031997862294898871, 0.070941291695957531, 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-2.1979155891162474, 2.1804016276906193, -2.1058578815455151, 1.9770250894299588, -1.7979897391955983, 1.5740339294313015, -1.3114600324457899, 1.0173960729792466, -0.6995879149284755, 0.3661843472222942, -0.025520992911029404, -0.31409135067628802, 0.64456877847523009, -0.95824214203506819, 1.2480267408166004, -1.5075705687794305, 1.731378581693982, -1.9149112032153988, 2.054656034841889, -2.1481724573089624, 2.1941094918464898, -2.1921979146506194, 2.1432181752128674, -2.0489461497570494, 1.9120791587717838, -1.7361449889368132, 1.5253968835320162, -1.2846976029833312, 1.0193957118571868, -0.73519722557944656, 0.43803565589025406, -0.1339433366003214, -0.17107330085410649, 0.47115208987873264, -0.76068501004760403, 1.0344177871814075, -1.2875377477708512, 1.5157488066802185, -1.7153328097099816, 1.88319678689072, -2.0169059914796685, 2.1147028978193516, -2.1755126036425283, 2.1989353251640491, -2.1852268836453481, 2.135268258234805, -2.0505254207661863, 1.9330007738768706, -1.7851775849529212, 1.6099588464172512, -1.4106019997798844, 1.1906509390824733, -0.95386666179445767, 0.70415786501938094, -0.44551269523676168, 0.18193275438686449, 0.082629652893243588, -0.34433017309081515, 0.59948623383034216, -0.84462546090278035, 1.0765282287828488, -1.2922640241281163, 1.4892214298949189, -1.6651316590298035, 1.8180856794424298, -1.9465450749047715, 2.0493468786747755, -2.1257026971816462, 2.175192509675441, -2.1977535861839881, 2.1936650105483273, -2.1635283279121382, 2.1082448574247481, -2.0289902216748956, 1.927186645271707, -1.8044735669164671, 1.662677093241836, -1.5037787995684977, 1.3298843536711018, -1.1431924045472543, 0.94596414022687814, -0.74049387767629959, 0.52908100488558807, -0.3140035510747563, 0.097493616482361406, 0.11828515081011338, -0.33125788666475126, 0.53945654827448397, -0.7410355934424272, 0.93428527476539613, -1.1176425557230978, 1.2896996864888077, -1.4492105048467634, 1.5950945518650439, -1.7264391128128365, 1.8424993112807271, -1.9426963986276473, 2.0266143918564654, -2.0939952209653088, 2.1447325518973184, -2.1788644536416948, 2.1965650780337285, -2.1981355186051448, 2.183994010724196, -2.154665629381745, 2.1107716337372349, -2.0530185990036705, 1.9821874668059634, -1.8991226348867714, 1.8047211963055569, -1.6999224271321691, 1.5856976103524059, -1.4630402724579703, 1.3329568980033817, -1.1964581765868245, 1.0545508261876193, -0.90823002681204967, 0.75847248892610586, -0.60623017232426046, 0.45242466287729244, -0.29794220715152542, 0.14362939810456421, 0.009710500997626284, -0.16132061260458463, 0.31049290359855447, -0.45657007341803313, 0.59894690152311525, -0.73707108678716526, 0.8704436133459631, -0.9986186789164474, 1.1212032225912123, -1.2378560894668325, 1.3482868695162007, -1.4522544477944193, 1.5495653023117626, -1.6400715849044056, 1.7236690191955408, -1.8002946482173829, 1.8699244626679068, -1.9325709389137931, 1.9882805140001922, -2.0371310229326589, 2.0792291214465966, -2.1147077155005469, 2.1437234166314476, -2.1664540403016739, 2.1830961624452647, -2.1938627474432582, 2.1989808589356317, -2.1986894631539027, 2.1932373327166719, -2.1828810573172284, 2.1678831662432816, -2.1485103662736607, 2.1250318973028586, -2.0977180068290142, 2.0668385434403924, -2.0326616684981493, 1.9954526843536957, -1.9554729767305279, 1.9129790682601713, -1.8682217796090981, 1.8214454941645635, -1.7728875218895588, 1.7227775576352342, -1.6713372289807802, 1.6187797284814445, -1.5653095251006364, 1.5111221495552616, -1.4564040483035461, 1.4013325008697561, -1.3460755953582257, 1.2907922570734121, -1.2356323252638801, 1.180736673211674, -1.1262373670262775, 1.0722578587275053, -1.0189132093639028, 0.96631033815154388, -0.91454829383081759, 0.86371854465686848, -0.81390528368361292, 0.76518574619653135, -0.71763053636868257, 0.67130396046925023, -0.62626436415278675, 0.58256447150776336, -0.54025172382733233, 0.49936861620191086, -0.45995303021641798, 0.42203856124033423, -0.38565483889385377, 0.35082783949868868, -0.31758018944275035, 0.28593145845230039, -0.25589844198835499, 0.22749543203640143, -0.20073447565471114, 0.17562562078408664, -0.15217714881070618, 0.13039579358495607, -0.11028694656209137, 0.091854847767045625, -0.075102762450491439, 0.060033143248737736, -0.046647777709225749, 0.03494792113811198, -0.024934414641694408, 0.016607788342994024, -0.0099683497834972372, 0.0050162574042109621, -0.0017515791513065325, 0.00017433621220784787}; +}; + +struct case_mz_hp_zeta_7_100Hz_1000Hz_z50 +{ + static constexpr int order = 7; + static constexpr double cutoff_hz = 100.0; + static constexpr double sample_rate_hz = 1000.0; + + static constexpr double b[8] = {0.28131082082688108, -1.9691757457881676, 5.9075272373645031, -9.8458787289408374, 9.8458787289408374, -5.9075272373645031, 1.9691757457881676, -0.28131082082688108}; + static constexpr double a[8] = {1, -4.2829646384529276, 8.2869568188550105, -9.3067653574527149, 6.5296622338484172, -2.8563790251772021, 0.72114058055696639, -0.08100259215794324}; + static constexpr double step[256] = {0.28131082082688108, -0.48302062694558745, -0.18030857731712002, 0.22239320286596098, 0.33414964988810159, 0.17972559357891416, -0.053453709178841624, -0.20453564875616737, -0.21612960302731254, -0.1222500819582153, 0.0033432545483607079, 0.0962569054802207, 0.12693453591064685, 0.10116694100938206, 0.045502863120117754, -0.010452017775370859, -0.046515871958252131, -0.056282701091491472, -0.044744057738552945, -0.022589199786556602, -0.00050773086820266045, 0.014461974102863095, 0.02001198494158607, 0.017653227137883754, 0.010863597797735602, 0.0032672484563931459, -0.0025644746811366304, -0.0055321860343124918, -0.0058062650535997129, -0.004302917027619424, -0.0021263016573191962, -0.00016430500082553756, 0.0010955502239515802, 0.0015582565607104026, 0.0013983138859847699, 0.00090377123429274953, 0.00034730632041868326, -8.7564547378349289e-05, -0.00032486239787465898, -0.00037561818310316575, -0.00030001926231371101, -0.00017033199424787426, -4.5194205399834431e-05, 4.1768606498404637e-05, 8.1471039660163669e-05, 8.1991558656735464e-05, 5.9250757728390724e-05, 2.9244546095874568e-05, 3.4437268765508122e-06, -1.2612930954114532e-05, -1.8443798804446132e-05, -1.6663827305807288e-05, -1.0952669984964913e-05, -4.5647845539065202e-06, 4.170996177332853e-07, 3.1819967467594523e-06, 3.8864347147171685e-06, 3.2027321656968866e-06, 1.9108961510916345e-06, 6.3222078727775965e-07, -2.7932190316271033e-07, -7.2375959447867899e-07, -7.7538292941881082e-07, -5.8750993403577922e-07, -3.1543541356704452e-07, -7.171231275471257e-08, 8.7340038534833297e-08, 1.5342826542585897e-07, 1.4800438696838114e-07, 1.0342070044799812e-07, 4.9107056643293845e-08, 4.5280865723640318e-09, -2.2004936095498806e-08, -3.0856761146225153e-08, -2.7210278696898627e-08, -1.751742573219417e-08, -7.1297601156317114e-09, 7.3216255280783571e-10, 4.9600319407261395e-09, 5.9508478145176014e-09, 4.8392416740483668e-09, 2.8560871445648672e-09, 9.3968077763406654e-10, -4.0078096397166973e-10, -1.041000841084383e-09, -1.1081253692424298e-09, -8.3477713630486505e-10, -4.4728443171493382e-10, -1.0469336508833749e-10, 1.164808249853877e-10, 2.0753221363634111e-10, 2.001925292205442e-10, 1.3989631675315195e-10, 6.694955700936589e-11, 7.4389383541983989e-12, -2.7842617100759526e-11, -3.9686032238250846e-11, -3.5127012409930103e-11, -2.2704504942794301e-11, -9.3920426991189743e-12, 6.7212901910806977e-13, 6.0949023605871844e-12, 7.4062977972744193e-12, 6.0595972684041044e-12, 3.6126657221302594e-12, 1.2425616091604752e-12, -4.1766590186398389e-13, -1.2168044349891716e-12, -1.3142820165512603e-12, -9.972023207183156e-13, -5.4156679141215136e-13, -1.389999226830696e-13, 1.1968204205459188e-13, 2.2493118478905672e-13, 2.1382895454280515e-13, 1.3855583347321954e-13, 4.6407322429331543e-14, -2.9531932455029164e-14, -7.3274719625260332e-14, -8.3710816056736803e-14, -6.8167693711984612e-14, -3.7969627442180354e-14, -4.4408920985006262e-15, 2.3536728122053319e-14, 3.9523939676655573e-14, 3.9523939676655573e-14, 2.4424906541753444e-14, -2.2204460492503131e-16, -2.6645352591003757e-14, -4.8405723873656825e-14, -6.1728400169158704e-14, -6.4614980033184111e-14, -5.6399329650957952e-14, -3.8191672047105385e-14, -1.354472090042691e-14, 1.2212453270876722e-14, 3.3750779948604759e-14, 4.6851411639181606e-14, 4.9737991503207013e-14, 4.418687638008123e-14, 3.4638958368304884e-14, 2.5757174171303632e-14, 2.0650148258027912e-14, 1.9984014443252818e-14, 2.1538326677728037e-14, 2.19824158875781e-14, 1.865174681370263e-14, 1.1546319456101628e-14, 3.3306690738754696e-15, -3.5527136788005009e-15, -8.2156503822261584e-15, -1.1102230246251565e-14, -1.1990408665951691e-14, -9.5479180117763462e-15, -2.6645352591003757e-15, 8.2156503822261584e-15, 2.0872192862952943e-14, 3.1752378504279477e-14, 3.730349362740526e-14, 3.6415315207705135e-14, 3.1530333899354446e-14, 2.6645352591003757e-14, 2.5313084961453569e-14, 2.7533531010703882e-14, 2.9087843245179101e-14, 2.4202861936828413e-14, 1.0436096431476471e-14, -8.659739592076221e-15, -2.4646951146678475e-14, -2.9976021664879227e-14, -2.2648549702353193e-14, -5.5511151231257827e-15, 1.532107773982716e-14, 3.3750779948604759e-14, 4.5963233219481481e-14, 5.1292303737682232e-14, 5.084821452783217e-14, 4.6407322429331543e-14, 3.8857805861880479e-14, 2.886579864025407e-14, 1.7097434579227411e-14, 4.8849813083506888e-15, -6.6613381477509392e-15, -1.6875389974302379e-14, -2.6201263381153694e-14, -3.5749181392930041e-14, -4.5741188614556449e-14, -5.4622972811557702e-14, -5.9063864910058328e-14, -5.4845017416482733e-14, -3.9523939676655573e-14, -1.4654943925052066e-14, 1.354472090042691e-14, 3.6637359812630166e-14, 4.8627768478581856e-14, 4.8405723873656825e-14, 3.8635761256955448e-14, 2.4202861936828413e-14, 1.0436096431476471e-14, 1.1102230246251565e-15, -2.4424906541753444e-15, -1.5543122344752192e-15, 1.3322676295501878e-15, 3.9968028886505635e-15, 5.5511151231257827e-15, 5.9952043329758453e-15, 5.3290705182007514e-15, 3.3306690738754696e-15, -8.8817841970012523e-16, -7.3274719625260332e-15, -1.4432899320127035e-14, -1.9095836023552692e-14, -1.7763568394002505e-14, -8.659739592076221e-15, 6.4392935428259079e-15, 2.2204460492503131e-14, 3.1974423109204508e-14, 3.1308289294429414e-14, 2.1316282072803006e-14, 7.7715611723760958e-15, -3.1086244689504383e-15, -8.8817841970012523e-15, -1.1324274851176597e-14, -1.3766765505351941e-14, -1.7319479184152442e-14, -2.1760371282653068e-14, -2.5757174171303632e-14, -2.6867397195928788e-14, -2.3536728122053319e-14, -1.6431300764452317e-14, -8.2156503822261584e-15, -2.2204460492503131e-15, 2.2204460492503131e-16, 8.8817841970012523e-16, 2.886579864025407e-15, 7.9936057773011271e-15, 1.4654943925052066e-14, 1.8429702208777599e-14, 1.4876988529977098e-14, 3.3306690738754696e-15, -1.3322676295501878e-14, -2.9531932455029164e-14, -3.9523939676655573e-14, -3.9523939676655573e-14, -2.886579864025407e-14, -9.9920072216264089e-15, 1.2212453270876722e-14, 3.2862601528904634e-14, 4.8405723873656825e-14, 5.6399329650957952e-14, 5.4178883601707639e-14, 4.0190073491430667e-14, 1.5765166949677223e-14, -1.4210854715202004e-14, -4.2188474935755949e-14, -5.9952043329758453e-14}; + static constexpr double impulse[256] = {0.28131082082688108, -0.76433144777246853, 0.30271204962846721, 0.40270178018308056, 0.11175644702213972, -0.15442405630918887, -0.23317930275775656, -0.15108193957732274, -0.011593954271135076, 0.093879521069115041, 0.12559333650659782, 0.092913650931878977, 0.030677630430436809, -0.025767594901262625, -0.055664077889266278, -0.055954880895489473, -0.036063854182877997, -0.0097668291332319024, 0.011538643352947638, 0.022154857952003067, 0.022081468918354386, 0.014969704971058359, 0.0055500108387093738, -0.0023587578037180118, -0.0067896293401617045, -0.0075963493413518518, -0.005831723137535539, -0.0029677113531789076, -0.00027407901928714479, 0.0015033480259849599, 0.0021766153703103334, 0.0019619966565074635, 0.0012598552247903329, 0.00046270633676683166, -0.00015994267472542803, -0.00049454265169866795, -0.0005564649138837727, -0.00043487086780435221, -0.000237297850496669, -5.0755785220937518e-05, 7.5598920802217261e-05, 0.00012968726807874043, 0.00012513778885628346, 8.6962811899108814e-05, 3.9702433155745505e-05, 5.205189862372069e-07, -2.2740800940363687e-05, -3.0006211644102563e-05, -2.5800819228738683e-05, -1.6056657837586687e-05, -5.8308678562435379e-06, 1.779971491743921e-06, 5.7111573130294641e-06, 6.3878854250845375e-06, 4.9818841711686552e-06, 2.764897135734607e-06, 7.0443798059281857e-07, -6.83702534189599e-07, -1.2918360021260398e-06, -1.2786753564532229e-06, -9.1154268739280478e-07, -4.4443768933954349e-07, -5.1623331295174777e-08, 1.8787300172537774e-07, 2.7207452875553723e-07, 2.4372310826079992e-07, 1.5905235430934326e-07, 6.6088222045567448e-08, -5.4238927574443253e-09, -4.4583709592285777e-08, -5.4313671330979941e-08, -4.4578995232880592e-08, -2.6533039773828362e-08, -8.8518319219823676e-09, 3.6464852642173471e-09, 9.6928638222260609e-09, 1.038768163377549e-08, 7.8619405532660015e-09, 4.2278868517373351e-09, 9.9083097572440082e-10, -1.111595137208404e-09, -1.9831483504130101e-09, -1.9164046357890366e-09, -1.3404631715087443e-09, -6.4022387606692494e-10, -6.7130854879650327e-11, 2.7334019339319608e-10, 3.8748389402621535e-10, 3.4258209422723856e-10, 2.2116614362963249e-10, 9.1045554584777419e-11, -7.3429884017721604e-12, -6.0297909474428034e-11, -7.2948176086173839e-11, -5.9512792685566664e-11, -3.5285293446026984e-11, -1.1848267956749671e-11, 4.553912529007563e-12, 1.241764767546392e-11, 1.3308777988586933e-11, 1.0063825022563542e-11, 5.4281831965831873e-12, 1.3226289911032402e-12, -1.3327566633376074e-12, -2.4343464845863335e-12, -2.3620676615557052e-12, -1.6577406613679465e-12, -8.0049015674138067e-13, -9.9557644854527734e-14, 3.1735118712647518e-13, 4.5933511484493076e-13, 4.0886998978323301e-13, 2.6590343999154038e-13, 1.1190543082875026e-13, -4.8608629317964936e-15, -6.8140443280024786e-14, -8.3994670580574574e-14, -6.91372671405902e-14, -4.1469492734489471e-14, -1.4504581250299195e-14, 4.4808551404388758e-15, 1.3710827495994803e-14, 1.4951555780755416e-14, 1.1429546777292066e-14, 6.2688858872441917e-15, 1.6565312346242181e-15, -1.3545361495484844e-15, -2.6342260698988358e-15, -2.5985178107049023e-15, -1.8474628211271471e-15, -9.1351745324099753e-16, -1.4177191892804096e-16, 3.2326241811035155e-16, 4.8836950732475886e-16, 4.4179351152675428e-16, 2.9178082798020609e-16, 1.2708011836106975e-16, 6.853441789626095e-19, -6.9031977608133144e-17, -8.7934602914713438e-17, -7.3567085666918257e-17, -4.4954044439656058e-17, -1.6570563677994441e-17, 3.6908347927792582e-18, 1.3781457744126453e-17, 1.5442046902195307e-17, 1.2004803289219882e-17, 6.7367116004207841e-18, 1.9477889565535678e-18, -1.2287925250650389e-18, -2.625496800348797e-18, -2.6520804431754919e-18, -1.9195791088557064e-18, -9.771682634814081e-19, -1.8522677580924315e-19, 3.0104275126382932e-19, 4.8271917629129102e-19, 4.4626272804265468e-19, 3.0055511598012388e-19, 1.3606052791627714e-19, 7.6380673444104822e-21, -6.48321507030739e-20, -8.6237773170718941e-20, -7.3653018755129328e-20, -4.6009801492229402e-20, -1.7917449931708937e-20, 2.5015406305403228e-21, 1.2966083881381187e-20, 1.5035128084636046e-20, 1.192895811409099e-20, 6.8683548306905402e-21, 2.1658562885964082e-21, -1.0150402255304522e-21, -2.46735289827436e-21, -2.5654404080886012e-21, -1.8958415996983376e-21, -9.955996870227895e-22, -2.232035867853287e-22, 2.6155657324511668e-22, 4.5252589758348848e-22, 4.2920968070336008e-22, 2.9546792351326872e-22, 1.3915805539550206e-22, 1.4611349538568679e-23, -5.7474156343757239e-23, -8.0600272956936089e-23, -7.0489332508251146e-23, -4.5096663981290302e-23, -1.8529663316475754e-23, 1.1844462951516267e-24, 1.1600498222949375e-23, 1.4008144519267998e-23, 1.137008831487764e-23, 6.7253523455389938e-24, 2.2969674143454685e-24, -7.6426570515508822e-25, -2.2168294221920444e-24, -2.382996856679673e-24, -1.8013652349565139e-24, -9.7641423423806385e-25, -2.516549277507949e-25, 2.1405271845950998e-25, 4.072780325995463e-25, 3.9759849639165625e-25, 2.8016444372494581e-25, 1.3719678453573599e-25, 2.0668445595593182e-26, -4.8587127793904302e-26, -7.2570258663797855e-26, -6.5146704297656051e-26, -4.2726820430680601e-26, -1.8473579715506588e-26, -6.6998560162558072e-29, 9.9644699368632252e-27, 1.2609116021643904e-26, 1.0489521269433916e-26, 6.3769568105478596e-27, 2.3412233710300807e-27, -5.1373387613771636e-28, -1.9209073198935584e-27, -2.1437939817000638e-27, -1.6599589682969454e-27, -9.2852501098682214e-28, -2.6896289518489704e-28, 1.6537021037191865e-28, 3.5470792138238894e-28, 3.5747221851319378e-28, 2.5808178615195332e-28, 1.3124621644478886e-28, 2.5304553506453404e-29, -3.9381033101030367e-29, -6.3397179804666857e-29, -5.8544940742209842e-29, -3.9384574447616028e-29, -1.7863459141612189e-29, -1.136165301309604e-30, 8.2658750445797742e-30, 1.1036521496881399e-29, 9.424936682624883e-30, 5.8895415446969999e-30, 2.3080926279856063e-30, -2.8716024133419751e-31, -1.6144347430982259e-30, -1.8788576435648521e-30, -1.4918826216136524e-30, -8.6073004392390156e-31, -2.7531275115517527e-31, 1.1998907797188929e-31, 3.0053503485691305e-31, 3.1360676985354547e-31, 2.3214883375090036e-31, 1.2242382240462379e-31, 2.8354013970082464e-32, -3.066131829084876e-32, -5.4002298117069236e-32, -5.1408359038183471e-32}; + static constexpr double chirp_in[4096] = {1, 0.99999992642979929, 0.99999882287700514, 0.99999404081958787, 0.9999811660875062, 0.99995401897637071, 0.99990465453387189, 0.99982336314626385, 0.99969867158853654, 0.99951734473821929, 0.99926438818900221, 0.998923052036508, 0.99847483614453059, 0.99789949723582638, 0.99717505818699503, 0.99627781994202647, 0.99518237649358454, 0.9938616334148932, 0.99228683045801158, 0.99042756876612315, 0.98825184327798898, 0.98572608093165093, 0.98281518530153245, 0.97948258832792745, 0.9756903098201305, 0.97139902543374301, 0.96656814383854717, 0.96115589380530031, 0.95511942194735522, 0.94841490185561306, 0.94099765536237645, 0.93282228666059408, 0.92384282998911005, 0.91401291157120323, 0.90328592646221384, 0.89161523092170281, 0.87895435087564089, 0.86525720697385833, 0.85047835667664762, 0.83457325372130264, 0.81749852522376165, 0.79921226656174948, 0.77967435406322239, 0.75884677538693723, 0.73669397733007314, 0.7131832306305963, 0.68828501114913054, 0.66197339661628929, 0.6342264779166199, 0.60502678364962148, 0.57436171646195799, 0.54222399938345511, 0.50861213012343165, 0.4735308409942906, 0.43699156182725674, 0.39901288293222104, 0.35962101483159181, 0.31885024116901001, 0.27674336086026408, 0.2333521152185779, 0.18873759545291671, 0.14297062560971868, 0.096132115709591626, 0.048313379525507044, -0.00038358883718521143, -0.049845885660697295, -0.099949521968676278, -0.15055930804420456, -0.20152880479580074, -0.25270034875965974, -0.30390515757424702, -0.35496352274746379, -0.4056850964493664, -0.45586927889726703, -0.50530571264738766, -0.55377488976053313, -0.60104887736125978, -0.64689216655377857, -0.69106264898686465, -0.73331272456861973, -0.77339054291489417, -0.81104138006864557, -0.8460091508484886, -0.87803805587175265, -0.9068743608505454, -0.93226830418043516, -0.95397612713425417, -0.97176221914417393, -0.9854013687119787, -0.99468110844139446, -0.99940414055107041, -0.99939082701909576, -0.99448172624942033, -0.98454015586016352, -0.96945475889963473, -0.94914204852736517, -0.92354890398720091, -0.89265498858333392, -0.85647505838693705, -0.81506112859245528, -0.7685044628528731, -0.71693734959881206, -0.66053462833527321, -0.59951492826162256, -0.53414158132492895, -0.46472317204376912, -0.39161368717798556, -0.3152122296164856, -0.23596226275400647, -0.15435035416899404, -0.070904390633105427, 0.013808759593039822, 0.09918615657250443, 0.18459228461860086, 0.2693631422116452, 0.35281092692297711, 0.43422930879702298, 0.51289927740590668, 0.5880955389371294, 0.65909343027171097, 0.72517630714337644, 0.78564335324217838, 0.83981774665942033, 0.88705510950404776, 0.92675215601078931, 0.9583554441811033, 0.98137012613941343, 0.99536858315359633, 0.99999882287700514, 0.99499250904629088, 0.98017248784854372, 0.95545967068985072, 0.92087913039150604, 0.87656526714078131, 0.82276590205092281, 0.7598451601445787, 0.68828501114912999, 0.60868534583648182, 0.52176247787447139, 0.42834597636238814, 0.32937375243207906, 0.22588534448833064, 0.11901337075840943, 0.0099731446764950698, -0.099949521968675376, -0.20941227153109016, -0.31703181849493733, -0.42140110777252832, -0.52110785216033795, -0.61475425146856222, -0.70097765980614957, -0.77847193249159985, -0.84600915084848771, -0.90246139255836488, -0.94682218813969621, -0.97822728137500836, -0.99597429399523896, -0.99954088350734849, -0.98860097853545059, -0.9630386791909602, -0.92295942146047771, -0.86869802495628545, -0.80082327303127221, -0.72013871347380276, -0.6276794168385581, -0.52470448779900736, -0.41268519236054085, -0.29328863974147795, -0.16835704134703858, -0.039882659401103367, 0.09002134692995295, 0.21915387133951877, 0.34526219919889106, 0.46608122869670787, 0.57937497068616284, 0.68297963205683976, 0.7748475038260193, 0.85309080213204103, 0.91602455057213206, 0.96220754845479073, 0.99048044398756308, 0.99999992642979929, 0.99026806874157036, 0.96115589380530075, 0.91292030397297208, 0.84621360604462514, 0.7620849817471087, 0.66197339661628984, 0.54769160642970061, 0.42140110777252909, 0.2855780849582823, 0.14297062560971963, -0.0034522927617008812, -0.15055930804420603, -0.29512169978712482, -0.43388373911755923, -0.56363695259073099, -0.68129669877065169, -0.78397929272312616, -0.8690777846452038, -0.9343344109714895, -0.97790769530701704, -0.99843218742645046, -0.9950688952752843, -0.96754459005089155, -0.9161783491799238, -0.84189394582437793, -0.74621699410734765, -0.63125611230023981, -0.49966776553729064, -0.35460488704253801, -0.19964984230321187, -0.038732782291660182, 0.1239630836160234, 0.28410729153688535, 0.43733655464327453, 0.57937497068616117, 0.70615681024133081, 0.81394842128514178, 0.89946560517441376, 0.95998273974085324, 0.99342995728005579, 0.99847483614453048, 0.97458533851213081, 0.92207112396763224, 0.84210088492281143, 0.73669397733007302, 0.60868534583648282, 0.46166354924637748, 0.29988255844234957, 0.12814889944360713, -0.048313379525509959, -0.2240165573282355, -0.39337772332802823, -0.55089698145210475, -0.69133985418658528, -0.80991791317645134, -0.90246139255836466, -0.96557747552099782, -0.99678810088010106, -0.99464152469519274, -0.95879249417982837, -0.89004674065898659, -0.79036655916348131, -0.66283548908721601, -0.51158150864681218, -0.34165966256345809, -0.15889660674110515, 0.030298881123715433, 0.21915387133951658, 0.40077079795557791, 0.56838039236265869, 0.71559896074412133, 0.83668028795140859, 0.92675215601078997, 0.98202755565343003, 0.9999811660875062, 0.97948258832792812, 0.92087913039150737, 0.82602263024340583, 0.6982368180860713, 0.54222399938345556, 0.36391230372523414, 0.17024729818871898, -0.031065697601372073, -0.23185984575257096, -0.42383465395227493, -0.59890073081561812, -0.74952733250515868, -0.86907778464520447, -0.95211766591071434, -0.99468110844139468, -0.99448172624941999, -0.95105651629515231, -0.86583354565218051, -0.74211726695732327, -0.58498878606033655, -0.4011222042584015, -0.19852211184659407, 0.013808759593047724, 0.22625900242972455, 0.42903908336572988, 0.61263423194927435, 0.76825896913416514, 0.88829153315462384, 0.96666642869321839, 0.99920437022617881, 0.98386102377908657, 0.92087913039150748, 0.81283271986127859, 0.66455703958209811, 0.48296332366677897, 0.27674336086027079, 0.055974700631925785, -0.16835704134703514, -0.38489726725106244, 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0.18459228461925636, -0.16835704134700888, 0.15283420512977428, -0.13803344170061341, 0.12396308361540023, -0.110630256377754, 0.098040999160336914, -0.086200379880266867, 0.075112604335562244, -0.064781119288953887, 0.055208709333225685, -0.046397587328288914, 0.038349478447046295, -0.03106569760236999, 0.024547220292490568, -0.018794746789342908, 0.013808759594209193, -0.0095895741816169593, 0.0061373830151254354, -0.0034522927602768901, 0.0015343547837478589, -0.00038358883724551112, -4.1594761818964385e-13}; + static constexpr double chirp[4096] = {0.28131082082688108, -0.48302064764168101, -0.18030885222253823, 0.22239240392556298, 0.33414852053754018, 0.17972476780381863, -0.053453607362733191, -0.20453443358202217, -0.21612763870400253, -0.12224807123224352, 0.0033446237140413171, 0.096257248510136451, 0.12693387663687833, 0.10116563071600798, 0.045501392243944283, -0.010453214645212539, -0.046516543317212056, -0.056282810882488654, -0.044743738443014658, -0.022588665169268829, 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-1.043515083541839, 1.0585758928832731, -1.0705043756721477, 1.0793959522078789, -1.0853544109436148, 1.0884907654463418, -1.0889221562207494, 1.0867708014928315, -1.0821630003044347, 1.0752281905262924, -1.0660980636763431, 1.0549057378455589, -1.0417849894110216, 1.0268695437089375, -1.0102924243648899, 0.99218536055118467, -0.97267825106226102, 0.95189868378608433, -0.92997150886508217, 0.90701846359172689, -0.88315784689896981, 0.85850424115379842, -0.83316827881606126, 0.80725645146274283, -0.78087095858953948, 0.75410959357590357, -0.72706566422178964, 0.69982794521329295, -0.67248065994585948, 0.64510348920414873, -0.61777160419048804, 0.59055572152916203, -0.5635221779336379, 0.53673302230913644, -0.51024612319210494, 0.48411528948692395, -0.45839040260590475, 0.43311755822216336, -0.40833921592829009, 0.38409435525786628, -0.36041863657292711, 0.33734456546202185, -0.31490165944059234, 0.2931166157448365, -0.27201347919864349, 0.25161380921808751, -0.23193684503551074, 0.21299966842537293, -0.19481736319261958, 0.17740317079335849, -0.16076864160063245, 0.14492378124834962, -0.12987719167350917, 0.11563620650421938, -0.10220702041994778, 0.089594812281266506, -0.07780386174456233, 0.066837659176893521, -0.056699008774883854, 0.047390124660544618, -0.038912719906218807, 0.031268088431763326, -0.024457179624984719, 0.018480665729273635, -0.013339001915254237, 0.0090324789776249168, -0.0055612687427917338, 0.0029254620720878381, -0.0011250994872790698, 0.00016019446770713225}; +}; + +struct case_tu_hp_zeta_7_100Hz_1000Hz_z50 +{ + static constexpr int order = 7; + static constexpr double cutoff_hz = 100.0; + static constexpr double sample_rate_hz = 1000.0; + + static constexpr double b[8] = {0.26981055461781012, -1.8886738823246709, 5.6660216469740128, -9.4433694116233582, 9.44336941162336, -5.6660216469740181, 1.8886738823246736, -0.26981055461781067}; + static constexpr double a[8] = {1, -4.3494705149970905, 8.546883939419688, -9.7456716430402892, 6.9390599753991591, -3.0781622589166102, 0.78714698546274808, -0.089355673844152828}; + static constexpr double step[256] = {0.26981055461781012, -0.4453302757616836, -0.19583208054269419, 0.18769430020944988, 0.32500894710801742, 0.20273110937969585, -0.021312054079273168, -0.18856037163123951, -0.22538252056016839, -0.14796605914383931, -0.022036624309198838, 0.084589026404982781, 0.13264762199894597, 0.11871439016726859, 0.065007937068014887, 0.0023833567125691735, -0.044244088211957355, -0.063271085586835585, -0.056345707449595106, -0.033517857288511199, -0.0070381915981324594, 0.013518217061185944, 0.023564804664087835, 0.023355262331453353, 0.016285232627080259, 0.0067525281783137325, -0.0015665998887669508, -0.0066134247134858049, -0.0080213803959813257, -0.0066381370692568664, -0.0038426784626238719, -0.00094332121752527254, 0.001187041199644745, 0.0022130487224759632, 0.002241159660546832, 0.0016275094585481709, 0.0007824707833671285, 3.1400235985690195e-05, -0.00044802504116481234, -0.00062200097859677062, -0.00055638761283083316, -0.00036027120082693376, -0.00013839057378761677, 3.7109364523169042e-05, 0.00013478386107734774, 0.0001572246419877521, 0.00012722440234147481, 7.3514524443596407e-05, 2.0333587074428117e-05, -1.7673654111871606e-05, -3.5845006736034968e-05, -3.6907207204728287e-05, -2.7307063406145637e-05, -1.393320423848099e-05, -2.0055874409008467e-06, 5.7298249419579506e-06, 8.7898204349512454e-06, 8.1893294346935264e-06, 5.5596966418436367e-06, 2.4455083295071844e-06, -9.2978947097144271e-08, -1.5820867763638446e-06, -2.0313102780944448e-06, -1.7360206358008057e-06, -1.0795730797097391e-06, -3.9068069257464089e-07, 1.2621676448443253e-07, 3.9758919812005189e-07, 4.4813718724778795e-07, 3.5392784980547987e-07, 2.002511304555199e-07, 5.4081547795625795e-08, -4.7099901423486301e-08, -9.3677137269487787e-08, -9.5157791091260435e-08, -6.9677832503778347e-08, -3.5406494514056419e-08, -5.4741616795084269e-09, 1.3607446391894484e-08, 2.102871177189769e-08, 1.9553812902195489e-08, 1.3274885524161562e-08, 5.9242336591935896e-09, -1.4954371074793471e-11, -3.4816082239430557e-09, -4.5419069616414731e-09, -3.9027813203418305e-09, -2.4490126593335049e-09, -9.2322538502997986e-10, 2.2140256294989058e-10, 8.2651807620237605e-10, 9.4965868502328021e-10, 7.5814965416753921e-10, 4.3673320515580372e-10, 1.2893741629937949e-10, -8.5576545849619379e-11, -1.8641810317632235e-10, -1.9330415046425742e-10, -1.4376733137311248e-10, -7.5252137854420198e-11, -1.4744316878534391e-11, 2.4337087900505594e-11, 4.0168424142450476e-11, 3.8151370951311492e-11, 2.6369906258594256e-11, 1.2212786337784109e-11, 6.1184390887092377e-13, -6.2932992150876998e-12, -8.5714768616185211e-12, -7.5476291883092017e-12, -4.9028558990471538e-12, -2.0564661085131775e-12, 1.1757261830780408e-13, 1.3019585409779211e-12, 1.5879519921213614e-12, 1.2766454560164675e-12, 7.0599082135913704e-13, 1.4155343563970746e-13, -2.6612045900265002e-13, -4.7351012000262926e-13, -5.0948134600048434e-13, -4.3598458177029897e-13, -3.1785685195018232e-13, -2.0550228185811648e-13, -1.2800871473928055e-13, -9.3813845580825728e-14, -9.6256336235001072e-14, -1.2001510896197942e-13, -1.4799272918253337e-13, -1.66644475996236e-13, -1.695310558602614e-13, -1.5731860258938468e-13, -1.3711254354120683e-13, -1.184607967275042e-13, -1.0913492332065289e-13, -1.1224354778960333e-13, -1.2578826869003024e-13, -1.446620601086579e-13, -1.6375789613221059e-13, -1.7930101847696278e-13, -1.8818280267396403e-13, -1.886268918838141e-13, -1.80855330711438e-13, -1.6753265441593612e-13, -1.5398793351550921e-13, -1.4555023852835802e-13, -1.4444001550373287e-13, -1.4843681839238343e-13, -1.5265566588595902e-13, -1.5309975509580909e-13, -1.4976908602193362e-13, -1.4599432773820809e-13, -1.4555023852835802e-13, -1.4976908602193362e-13, -1.5665246877460959e-13, -1.6264767310758543e-13, -1.6553425297161084e-13, -1.6575629757653587e-13, -1.6575629757653587e-13, -1.6753265441593612e-13, -1.7175150190951172e-13, -1.7752466163756253e-13, -1.8218759834098819e-13, -1.8307577676068831e-13, -1.7885692926711272e-13, -1.6930901125533637e-13, -1.5620837956475953e-13, -1.4377388168895777e-13, -1.375566327510569e-13, -1.3977707880030721e-13, -1.4865886299730846e-13, -1.5976109324356003e-13, -1.6797674362578618e-13, -1.6997514507011147e-13, -1.6642243139131097e-13, -1.6064927166326015e-13, -1.5687451337953462e-13, -1.5731860258938468e-13, -1.6109336087311021e-13, -1.6509016376176078e-13, -1.6553425297161084e-13, -1.6042722705833512e-13, -1.4954704141700859e-13, -1.333377852574813e-13, -1.1357581541915351e-13, -9.425793479067579e-14, -8.1157303100098943e-14, -7.9380946260698693e-14, -9.0261131902025227e-14, -1.1091128016005314e-13, -1.3511414209688155e-13, -1.5598633495983449e-13, -1.6864287744056128e-13, -1.7108536809473662e-13, -1.6397994073713562e-13, -1.4999113062685865e-13, -1.3267165144270621e-13, -1.1513012765362873e-13, -1.000310945187266e-13, -8.9372953482325102e-14, -8.3155704544424225e-14, -8.0935258495173912e-14, -8.2711615334574162e-14, -8.8706819667550008e-14, -9.8920871494101448e-14, -1.1313172620930345e-13, -1.2956302697375577e-13, -1.4421797089880783e-13, -1.5198953207118393e-13, -1.4932499681208355e-13, -1.3600232051658168e-13, -1.1624035067825389e-13, -9.6922470049776166e-14, -8.404388296412435e-14, -7.9380946260698693e-14, -8.0491169285323849e-14, -8.3599793754274287e-14, -8.6486373618299694e-14, -9.0039087297100195e-14, -9.6700425444851135e-14, -1.0869083411080283e-13, -1.2534417948018017e-13, -1.4266365866433262e-13, -1.5598633495983449e-13, -1.624256285026604e-13, -1.6198153929281034e-13, -1.5731860258938468e-13, -1.5132339825640884e-13, -1.4555023852835802e-13, -1.3999912340523224e-13, -1.3355982986240633e-13, -1.2601031329495527e-13, -1.1890488593735427e-13, -1.1468603844377867e-13, -1.1601830607332886e-13, -1.2445600106048005e-13, -1.3888890038060708e-13, -1.5465406733028431e-13, -1.6620038678638593e-13, -1.7041923427996153e-13, -1.6819878823071122e-13, -1.630917623174355e-13, -1.5865087021893487e-13, -1.5798473640415978e-13, -1.630917623174355e-13, -1.7463808177353712e-13, -1.9195756095768957e-13, -2.1216362000586741e-13, -2.2992718839986992e-13, -2.3880897259687117e-13, -2.3303581286882036e-13, -2.106093077713922e-13, -1.7597034940308731e-13, -1.3822276656583199e-13, -1.0735856648125264e-13, -9.1149310321725352e-14}; + static constexpr double impulse[256] = {0.26981055461781012, -0.71514083037949372, 0.24949819521898942, 0.38352638075214363, 0.13731464689856621, -0.12227783772832357, -0.22404316345896969, -0.1672483175519629, -0.036822148928919218, 0.077416461416343979, 0.12592943483465685, 0.10662565071419428, 0.048058595593968856, -0.013933231831678078, -0.053706453099256382, -0.062624580355444492, -0.046627444924518396, -0.019026997374865351, 0.0069253781372523721, 0.022827850161089128, 0.026479665690375173, 0.020556408659308661, 0.010046587602891482, -0.00020954233263997118, -0.0070700297043696965, -0.0095327044487532112, -0.0083191280670599499, -0.0050468248246967398, -0.0014079556824797106, 0.0013832433267281273, 0.0027954586066238343, 0.0028993572450806571, 0.0021303624171498531, 0.0010260075228153594, 2.811093806430378e-05, -0.00061365020199452601, -0.0008450386751684242, -0.00075107054736402255, -0.00047942527713274808, -0.00017397593741914604, 6.5613365769787895e-05, 0.00019611641199745664, 0.00022188062702493201, 0.00017549993829386933, 9.7674496541514137e-05, 2.2440780907391359e-05, -3.0000239638452037e-05, -5.3709877881980445e-05, -5.3180937349728004e-05, -3.8007241168286165e-05, -1.8171352611817145e-05, -1.0622004653224537e-06, 9.6001437910879363e-06, 1.3373859150355015e-05, 1.192761677436215e-05, 7.7354123583891335e-06, 3.0599954714874468e-06, -6.0049101650019586e-07, -2.6296328040517857e-06, -3.1141883198898516e-06, -2.5384872811622384e-06, -1.4891078305890171e-06, -4.4922349963106039e-07, 2.9528964770735614e-07, 6.5644756478844509e-07, 6.8889239815647879e-07, 5.1689746929401457e-07, 2.7137244586606319e-07, 5.0547999215555836e-08, -9.4209331197790931e-08, -1.5367671695912064e-07, -1.4616958277699546e-07, -1.0118145152450221e-07, -4.6577241417317021e-08, -1.4806625270130769e-09, 2.5479948521289577e-08, 3.427132833636016e-08, 2.993232466201434e-08, 1.9081602002931261e-08, 7.4212610275361986e-09, -1.4749026182656868e-09, -6.2789314444108059e-09, -7.3506559781513744e-09, -5.9391894736249461e-09, -3.4666492210014519e-09, -1.0602865133982757e-09, 6.391430094706531e-10, 1.4537856312277081e-09, 1.5257989244623739e-09, 1.1446334568295914e-09, 6.051171517128979e-10, 1.231419708740486e-10, -1.9150616576825358e-10, -3.214129540646418e-10, -3.0779471060440363e-10, -2.1451773933975194e-10, -1.0085093645785666e-10, -6.8996034692667544e-12, 4.9523845153678225e-11, 6.8508975535727699e-11, 6.0511837517820259e-11, 3.9094327724756047e-11, 1.5847056418238217e-11, -2.0059384871919929e-12, -1.1779832187319522e-11, -1.4165328299803734e-11, -1.1615072669924181e-11, -6.9191434220690724e-12, -2.2868753590909542e-12, 1.0225551177456107e-12, 2.6492560979726576e-12, 2.8529385169198131e-12, 2.178910089488638e-12, 1.1857163579183272e-12, 2.8423463152490057e-13, -3.1408548233785675e-13, -5.7158663759148814e-13, -5.6126368180446777e-13, -3.9957923847288331e-13, -1.9565501654036203e-13, -2.404596539537062e-14, 8.1320799660092516e-14, 1.1933194615563688e-13, 1.0806193062958687e-13, 7.1595705134609511e-14, 3.0777887984996318e-14, -1.2046646597427305e-15, -1.9231647138169976e-14, -2.4240205236537191e-14, -2.0385717790434837e-14, -1.251599910727481e-14, -4.5285255438545364e-15, 1.308126263698113e-15, 4.2905441995383512e-15, 4.8085381814778411e-15, 3.7703714603000688e-15, 2.1289850810101609e-15, 5.9798582023081759e-16, -4.4454518489999943e-16, -9.1783541544760478e-16, -9.3383042337013562e-16, -6.8369082816254388e-16, -3.5077245526568907e-16, -6.298602377919376e-17, 1.1904410138806797e-16, 1.9003871524933888e-16, 1.7783836604895697e-16, 1.2148000049123054e-16, 5.5547189595842003e-17, 2.4624861410845293e-18, -2.8535126857940032e-17, -3.8307404259710603e-17, -3.3245950148321147e-17, -2.1123143900797726e-17, -8.3385845828211524e-18, 1.271261095835885e-18, 6.3996149592655199e-18, 7.5466239015093819e-18, 6.1042847484426068e-18, 3.5862653656322449e-18, 1.15471561135102e-18, -5.5182938607362006e-19, -1.3709296109810001e-18, -1.4567088915948518e-18, -1.1008539553320664e-18, -5.9232609819277009e-19, -1.3817579699590161e-19, 1.5878749162376466e-19, 2.8371766633349509e-19, 2.7599031182910127e-19, 1.9490348224333945e-19, 9.4605705587647615e-20, 1.1254966193763566e-20, -3.928570255469819e-20, -5.7113685974023044e-20, -5.1380028686560325e-20, -3.3840993061331221e-20, -1.4464894961639831e-20, 5.6928669485849479e-22, 8.9558930637329824e-21, 1.123272949327619e-20, 9.4044371719085107e-21, 5.7518102756948456e-21, 2.0781809163415843e-21, -5.8603594215197754e-22, -1.9361876591586322e-21, -2.1646633284199114e-21, -1.6926649413177116e-21, -9.5418286820504463e-22, -2.6974585542467167e-22, 1.937044322886004e-22, 4.0286254332204013e-22, 4.0954858956659298e-22, 2.9948403784546399e-22, 1.5378356128445413e-22, 2.8382134792069691e-23, -5.0633028566886338e-23, -8.136571962783316e-23, -7.6169989770452738e-23, -5.2045681589376494e-23, -2.3897912328994225e-23, -1.2971215571613337e-24, 1.1873748490289837e-23, 1.6036610627273264e-23, 1.393637728933658e-23, 8.8709993405940862e-24, 3.5342814533604315e-24, -4.7185906845770208e-25, -2.6099425353051594e-24, -3.0951456536803991e-24, -2.5091831939905334e-24, -1.479546444939209e-24, -4.850551834707871e-25, 2.1290828584342825e-25, 5.4883208523827803e-25, 5.8634792302096186e-25, 4.445032558097603e-25, 2.4059229359211947e-25, 5.8277025438127084e-26, -6.1099172004037323e-26, -1.1165018884069075e-25, -1.0919486628013696e-25, -7.7432654303769932e-26, -3.7926928669234145e-26, -5.031567451021351e-27, 1.4972920516704239e-26, 2.2120974012475907e-26, 2.0009496707021557e-26, 1.3249292770163987e-26, 5.741357420867509e-27, -1.0040778212686672e-28, -3.3748181184632226e-27, -4.2868162177290286e-27, -3.6096742378144632e-27, -2.2227336730615134e-27, -8.2054987423379345e-28, 2.0008500726479904e-28, 7.2111189251140832e-28, 8.1485651519191616e-28, 6.4110024473875258e-28, 3.6456798767616105e-28, 1.0692730266586896e-28, -6.8346568522506363e-29, -1.4832152968507991e-28, -1.522165143315589e-28, -1.1206117355053346e-28, -5.8204937004407951e-29, -1.1600103580880424e-29, 1.7940275317467699e-29, 2.9624999333574256e-29, 2.7977283391929305e-29, 1.9261750461650213e-29, 8.982229121830827e-30, 6.8088890822162895e-31, -4.1935295647887489e-30, -5.7772433964372611e-30}; + static constexpr double chirp_in[4096] = {1, 0.99999992642979929, 0.99999882287700514, 0.99999404081958787, 0.9999811660875062, 0.99995401897637071, 0.99990465453387189, 0.99982336314626385, 0.99969867158853654, 0.99951734473821929, 0.99926438818900221, 0.998923052036508, 0.99847483614453059, 0.99789949723582638, 0.99717505818699503, 0.99627781994202647, 0.99518237649358454, 0.9938616334148932, 0.99228683045801158, 0.99042756876612315, 0.98825184327798898, 0.98572608093165093, 0.98281518530153245, 0.97948258832792745, 0.9756903098201305, 0.97139902543374301, 0.96656814383854717, 0.96115589380530031, 0.95511942194735522, 0.94841490185561306, 0.94099765536237645, 0.93282228666059408, 0.92384282998911005, 0.91401291157120323, 0.90328592646221384, 0.89161523092170281, 0.87895435087564089, 0.86525720697385833, 0.85047835667664762, 0.83457325372130264, 0.81749852522376165, 0.79921226656174948, 0.77967435406322239, 0.75884677538693723, 0.73669397733007314, 0.7131832306305963, 0.68828501114913054, 0.66197339661628929, 0.6342264779166199, 0.60502678364962148, 0.57436171646195799, 0.54222399938345511, 0.50861213012343165, 0.4735308409942906, 0.43699156182725674, 0.39901288293222104, 0.35962101483159181, 0.31885024116901001, 0.27674336086026408, 0.2333521152185779, 0.18873759545291671, 0.14297062560971868, 0.096132115709591626, 0.048313379525507044, -0.00038358883718521143, -0.049845885660697295, -0.099949521968676278, -0.15055930804420456, -0.20152880479580074, -0.25270034875965974, -0.30390515757424702, -0.35496352274746379, -0.4056850964493664, -0.45586927889726703, -0.50530571264738766, -0.55377488976053313, -0.60104887736125978, -0.64689216655377857, -0.69106264898686465, -0.73331272456861973, -0.77339054291489417, -0.81104138006864557, -0.8460091508484886, -0.87803805587175265, -0.9068743608505454, -0.93226830418043516, -0.95397612713425417, -0.97176221914417393, -0.9854013687119787, -0.99468110844139446, -0.99940414055107041, -0.99939082701909576, -0.99448172624942033, -0.98454015586016352, -0.96945475889963473, -0.94914204852736517, -0.92354890398720091, -0.89265498858333392, -0.85647505838693705, -0.81506112859245528, -0.7685044628528731, -0.71693734959881206, -0.66053462833527321, -0.59951492826162256, -0.53414158132492895, -0.46472317204376912, -0.39161368717798556, 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-0.9343344109714895, -0.97790769530701704, -0.99843218742645046, -0.9950688952752843, -0.96754459005089155, -0.9161783491799238, -0.84189394582437793, -0.74621699410734765, -0.63125611230023981, -0.49966776553729064, -0.35460488704253801, -0.19964984230321187, -0.038732782291660182, 0.1239630836160234, 0.28410729153688535, 0.43733655464327453, 0.57937497068616117, 0.70615681024133081, 0.81394842128514178, 0.89946560517441376, 0.95998273974085324, 0.99342995728005579, 0.99847483614453048, 0.97458533851213081, 0.92207112396763224, 0.84210088492281143, 0.73669397733007302, 0.60868534583648282, 0.46166354924637748, 0.29988255844234957, 0.12814889944360713, -0.048313379525509959, -0.2240165573282355, -0.39337772332802823, -0.55089698145210475, -0.69133985418658528, -0.80991791317645134, -0.90246139255836466, -0.96557747552099782, -0.99678810088010106, -0.99464152469519274, -0.95879249417982837, -0.89004674065898659, -0.79036655916348131, -0.66283548908721601, -0.51158150864681218, -0.34165966256345809, -0.15889660674110515, 0.030298881123715433, 0.21915387133951658, 0.40077079795557791, 0.56838039236265869, 0.71559896074412133, 0.83668028795140859, 0.92675215601078997, 0.98202755565343003, 0.9999811660875062, 0.97948258832792812, 0.92087913039150737, 0.82602263024340583, 0.6982368180860713, 0.54222399938345556, 0.36391230372523414, 0.17024729818871898, -0.031065697601372073, -0.23185984575257096, -0.42383465395227493, -0.59890073081561812, -0.74952733250515868, -0.86907778464520447, -0.95211766591071434, -0.99468110844139468, -0.99448172624941999, -0.95105651629515231, -0.86583354565218051, -0.74211726695732327, -0.58498878606033655, -0.4011222042584015, -0.19852211184659407, 0.013808759593047724, 0.22625900242972455, 0.42903908336572988, 0.61263423194927435, 0.76825896913416514, 0.88829153315462384, 0.96666642869321839, 0.99920437022617881, 0.98386102377908657, 0.92087913039150748, 0.81283271986127859, 0.66455703958209811, 0.48296332366677897, 0.27674336086027079, 0.055974700631925785, -0.16835704134703514, -0.38489726725106244, -0.58249718413303753, -0.75079558121367618, -0.8807772378003631, -0.96527750388896616, -0.99940414055107052, -0.98085070531978158, -0.91008053699473446, -0.79036655916348153, -0.62767941683856299, -0.43042453941683434, -0.20903717243428122, 0.024547220293044292, 0.25752199792776376, 0.47690591218475858, 0.6702700665282546, 0.82645479681547807, 0.93623487063973665, 0.99289265158964735, 0.99266256453924517, 0.93501624268541406, 0.82276590205092304, 0.66197339661628929, 0.46166354924637809, 0.23335211521857976, -0.0095895741826257964, -0.2527003487596628, -0.48128300660049478, -0.68129669877065224, -0.84023397604037153, -0.9479273461671317, -0.99723238944639814, -0.98454015586016264, -0.91008053699473168, -0.77799016180242753, -0.59613248546922271, -0.37567331729755787, -0.13043111482230935, 0.12396308361602595, 0.37104727229943907, 0.59459149924435239, 0.77967435406322239, 0.91370141006883898, 0.98729522857459673, 0.99499250904629022, 0.93569463493371918, 0.81283271986127059, 0.63422647791661613, 0.41163671634210847, 0.16003264759379121, -0.1033839317883601, -0.36033676125160785, -0.59273942915648381, -0.78397929272312317, -0.9201297299918394, -0.99100117924590703, -0.99094976176793526, -0.91937694488673249, -0.78087390759575936, -0.58498878606034577, -0.34562217432566072, -0.080084217820004439, 0.19212671735369832, 0.45074058099674741, 0.67622628148098096, 0.8512844415843499, 0.9622075484547904, 0.99999882287700514, 0.96115589380530075, 0.84804809615642662, 0.66884549507132596, 0.43699156182726329, 0.17024729818871992, -0.110630256376269, -0.3834806669755868, -0.62648422584859709, -0.81992136714207986, -0.94780510850409849, -0.99924960424107578, -0.96945475889963539, -0.86021435641350186, -0.67989149721536402, -0.44284765362705225, -0.16835704134703849, 0.12091746343008787, 0.40077079795558007, 0.64747701163478444, 0.83981774665941822, 0.96094386528026088, 0.99990465453387189, 0.95270229095965364, 0.82276590205091937, 0.62078697520272341, 0.36391230372523531, 0.074347571843515148, -0.22252093395631911, -0.50033216089251542, -0.73409463523198404, -0.90246139255836555, -0.98972693214480445, -0.98735610690369835, -0.89489156836093631, -0.72013871347379788, -0.47859081942819004, -0.19212671735370601, 0.11291736677555103, 0.40813786714038369, 0.66570278481121115, 0.8609957613666358, 0.97501319700248934, 0.99627781994202547, 0.92207112396763291, 0.75884677538694123, 0.5217624778744816, 0.23335211521858765, -0.07855469695947305, -0.38348066697558636, -0.65126920047307302, -0.85508594369616242, -0.97415389500088145, -0.99593983608294245, -0.91755646763273546, -0.74621699410735365, -0.49867062121686356, -0.19964984230321028, 0.12053668025531283, 0.42903908336570928, 0.69383011851338472, 0.88705510950404576, 0.98801617809016951, 0.98546660117894946, 0.878954350875643, 0.67904717547725413, 0.40638618731229703, 0.089639308903445084, -0.23745301300756336, -0.53964301532054448, -0.78397929272311817, -0.94343906000553723, -0.9999855802751384, -0.9466986959828072, -0.78871871430905482, -0.54286844851759386, -0.23596226275400908, 0.098040999161486744, 0.42174894365151211, 0.69851136524894031, 0.89659687467502402, 0.99289265158964801, 0.97569030982012916, 0.84621360604462359, 0.6186796598453691, 0.31885024116900984, -0.018794746789845506, -0.3549635227474629, -0.65010409366874566, -0.86907778464520169, -0.98540136871197892, -0.98454015586016408, -0.86583354565218329, -0.64278760968653159, -0.3416596625634602, 0.0015343547843220864, 0.34526219919889184, 0.64747701163477833, 0.87078037014119347, 0.98711172199712383, 0.98137012613941121, 0.85349083557870198, 0.61867965984537487, 0.30573182735974569, -0.04639758733025956, -0.3933777233280325, -0.69106264898687253, -0.90113523457691125, -0.99611066011347471, -0.96303867919096187, -0.80539429419585873, -0.54286844851759419, -0.20903717243428313, 0.15283420512979162, 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0.91401291157148634, -0.93488015141986835, 0.95270229095934222, -0.96754459005129689, 0.97948258832790669, -0.98860097853575635, 0.99499250904627312, -0.99875692121885906, 0.99999992642979951, -0.99883222683233175, 0.99536858315373955, -0.98972693214479546, 0.98202755565360222, -0.97239230268577204, 0.96094386528012321, -0.94780510850434307, 0.93309845444673789, -0.91694531966419934, 0.89946560517507124, -0.88077723780042294, 0.86099576136681266, -0.84023397603959249, 0.81860162390640867, -0.796205118714578, 0.77314731759783095, -0.74952733250471737, 0.72544037896198199, -0.70097765980604587, 0.67622628148050334, -0.65126920047273773, 0.62618519753795332, -0.60104887736144608, 0.57593069136480424, -0.55089698145218191, 0.52601004251397765, -0.50132820166018488, 0.47690591218530526, -0.45279386036808306, 0.4290390833651167, -0.40568509645037554, 0.3827720280763382, -0.36033676125198227, 0.33841307983513402, -0.31703181849472845, 0.29622101515464083, -0.2760060647928777, 0.25640987367073959, -0.23745301300816751, 0.2191538713382635, -0.20152880479604404, 0.18459228461925636, -0.16835704134700888, 0.15283420512977428, -0.13803344170061341, 0.12396308361540023, -0.110630256377754, 0.098040999160336914, -0.086200379880266867, 0.075112604335562244, -0.064781119288953887, 0.055208709333225685, -0.046397587328288914, 0.038349478447046295, -0.03106569760236999, 0.024547220292490568, -0.018794746789342908, 0.013808759594209193, -0.0095895741816169593, 0.0061373830151254354, -0.0034522927602768901, 0.0015343547837478589, -0.00038358883724551112, -4.1594761818964385e-13}; + static constexpr double chirp[4096] = {0.26981055461781012, -0.44533029561170023, -0.19583234552984791, 0.18769351581276089, 0.32500780526669221, 0.20273022374927735, -0.021312033555252796, -0.18855919803140225, -0.2253805068425247, -0.14796390665851494, -0.022035075391229786, 0.084589506028105332, 0.13264699111353734, 0.11871298256864221, 0.065006278655962535, 0.0023819510921451736, 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6.5206858601563056e-07, 7.1161295647770295e-07, 7.6888464822788549e-07, 8.2285038871532379e-07, 8.7241067522891846e-07, 9.1640233693124351e-07, 9.5360305121805489e-07, 9.8273930371206575e-07, 1.0024983496392803e-06, 1.0115440831071076e-06, 1.0085363863349128e-06, 9.9215340866598556e-07, 9.6111634800138956e-07, 9.1421642730649469e-07, 8.5034386326093836e-07, 7.6851871223110324e-07, 6.6792340384924653e-07, 5.479367393840251e-07, 4.0816898676243607e-07, 2.4849759344691691e-07, 6.9102913030638646e-08, -1.2949675529116966e-07, -3.4641163568216449e-07, -5.8034931746386853e-07, -8.2958692901313746e-07, -1.091947672643423e-06, -1.364782762525163e-06, -1.6449598799206377e-06, -1.9288592708610608e-06, -2.2123786050931571e-06, -2.4909477083778775e-06, -2.759554217246496e-06, -3.0127811381230885e-06, -3.2448571722909492e-06, -3.4497205064765168e-06, -3.6210965746186208e-06, -3.7525900671020462e-06, -3.837791190619555e-06, -3.8703958609442868e-06, -3.8443391480180722e-06, -3.7539409280529235e-06, 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-0.00099812628521902353, 0.00013250542370025814}; +}; + +struct case_tupw_hp_zeta_7_100Hz_1000Hz_z50 +{ + static constexpr int order = 7; + static constexpr double cutoff_hz = 100.0; + static constexpr double sample_rate_hz = 1000.0; + + static constexpr double b[8] = {0.25784201317072541, -1.8048940921950789, 5.4146822765852374, -9.0244704609753974, 9.0244704609753974, -5.41468227658524, 1.8048940921950807, -0.25784201317072586}; + static constexpr double a[8] = {1, -4.2610747420406545, 8.2400538175815292, -9.2747168213541542, 6.5363458235193423, -2.8769780822710729, 0.73179828026836402, -0.082810118817842698}; + static constexpr double step[256] = {0.25784201317072541, -0.44836798926566168, -0.16753138159892533, 0.21528401639134687, 0.32160838456478891, 0.16808133574030515, -0.062913134609584254, -0.20993816999087966, -0.21455428073416705, -0.11262674518183091, 0.01817432005688302, 0.11042194848384901, 0.13454965440889077, 0.099326947717133351, 0.035482588204435062, -0.024171619669238864, -0.058554318007647876, -0.062678368445610144, -0.044255575256492929, -0.016646425734410442, 0.0078617707135576476, 0.022064177601630708, 0.024638558094793095, 0.018595931283995282, 0.0087717041330571677, -0.00042287523180528641, -0.0063089241273742713, -0.0082035499282165913, -0.0069302353043853016, -0.0040141317570333568, -0.00094308570154388871, 0.0012885811959238991, 0.0023107051183378635, 0.0022617752356351994, 0.0015564470260828189, 0.00065391497178335367, -0.00010011199030890428, -0.00053624949584041293, -0.00064585551407969621, -0.00052198815010051636, -0.0002919502969395138, -6.5490725872030531e-05, 9.1502509445562374e-05, 0.00015970888709804232, 0.00015390667279879811, 0.00010509996063901017, 4.4809618718999467e-05, -4.5636314692787394e-06, -3.2800215793771237e-05, -4.0043997311944857e-05, -3.2605319222889229e-05, -1.8602898610553531e-05, -4.8196676153411389e-06, 4.7730792761546681e-06, 9.0553175881025183e-06, 8.9320311079665871e-06, 6.2400576176235845e-06, 2.8233851968595403e-06, -1.5822687271516145e-08, -1.6804427248606757e-06, -2.1653374749908139e-06, -1.8151633988106042e-06, -1.0782409843868024e-06, -3.3128849230568136e-07, 2.0217375540365623e-07, 4.5427475348081003e-07, 4.6817231902362977e-07, 3.391352300097239e-07, 1.6473884267842465e-07, 1.5137316400348766e-08, -7.6154590744614836e-08, -1.0680568529597423e-07, -9.328933503471859e-08, -5.814236769818848e-08, -2.0781625420518424e-08, 6.900401472442752e-09, 2.0867902406074279e-08, 2.2817415845644007e-08, 1.7259300766347963e-08, 9.0018131837510396e-09, 1.6105595745941059e-09, -3.1142383116744554e-09, -4.9190590489800456e-09, -4.5155109651418002e-09, -2.9612666763156881e-09, -1.2019892858816661e-09, 1.5905643468983044e-10, 8.9257790047980734e-10, 1.0513013792845527e-09, 8.3419926522054766e-10, 4.6558679134278691e-10, 1.1836942537257755e-10, -1.1479517336709932e-10, -2.1439616748608614e-10, -2.0848733850442613e-10, -1.4406509318831695e-10, -6.5138006100085022e-11, -1.0785816684233396e-12, 3.5722202973431649e-11, 4.6198489478399551e-11, 3.8606340346802881e-11, 2.2949309119724148e-11, 7.2887251789666152e-12, -3.7853054024594712e-12, -9.0049079304321822e-12, -9.3648422350156579e-12, -6.8555161547578791e-12, -3.450684182837449e-12, -5.3568260938163803e-13, 1.2453371667220381e-12, 1.8599566331545248e-12, 1.6328050023162177e-12, 9.9531494157645284e-13, 3.1186164761720647e-13, -1.9817480989559044e-13, -4.624078897563777e-13, -5.1192383665465968e-13, -4.2577052994374753e-13, -2.8743674107545303e-13, -1.5931700403370996e-13, -7.382983113757291e-14, -3.6970426720017713e-14, -3.8746783559417963e-14, -6.3393734706096438e-14, -9.6034291630076041e-14, -1.262323578998803e-13, -1.482147737874584e-13, -1.6020518245341009e-13, -1.624256285026604e-13, -1.5643042416968456e-13, -1.446620601086579e-13, -1.2956302697375577e-13, -1.1446399383885364e-13, -1.0358380819752711e-13, -1.006972283335017e-13, -1.0691447727140257e-13, -1.1934897514720433e-13, -1.3311574065255627e-13, -1.4266365866433262e-13, -1.4377388168895777e-13, -1.3467005288703149e-13, -1.1668443988810395e-13, -9.3813845580825728e-14, -7.1831429693247628e-14, -5.6288307348495437e-14, -5.0515147620444623e-14, -5.4733995114020217e-14, -6.6946448384896939e-14, -8.3155704544424225e-14, -9.8920871494101448e-14, -1.1046719095020308e-13, -1.1535217225855376e-13, -1.1268763699945339e-13, -1.0380585280245214e-13, -9.3147711766050634e-14, -8.6486373618299694e-14, -8.737455203799982e-14, -9.5146113210375916e-14, -1.0513812043200232e-13, -1.113553693699032e-13, -1.1024514634527804e-13, -1.0247358517290195e-13, -9.2259533346350509e-14, -8.4710016778899444e-14, -8.3377749149349256e-14, -8.8262730457699945e-14, -9.7144514654701197e-14, -1.078026556911027e-13, -1.1823875212257917e-13, -1.2667644710973036e-13, -1.3156142841808105e-13, -1.3200551762793111e-13, -1.2889689315898067e-13, -1.255662240851052e-13, -1.2512213487525514e-13, -1.2845280394913061e-13, -1.3289369604763124e-13, -1.3444800828210646e-13, -1.3000711618360583e-13, -1.1868284133242923e-13, -1.0291767438275201e-13, -8.8040685852774914e-14, -7.893685705084863e-14, -7.8270723236073536e-14, -8.4710016778899444e-14, -9.4035890185750759e-14, -1.0180745135812685e-13, -1.0602629885170245e-13, -1.0802470029602773e-13, -1.1113332476497817e-13, -1.1779466291272911e-13, -1.2756462552943049e-13, -1.3711254354120683e-13, -1.4177548024463249e-13, -1.3822276656583199e-13, -1.262323578998803e-13, -1.0869083411080283e-13, -8.9594998087250133e-14, -7.2497563508022722e-14, -6.0507154842071031e-14, -5.6066262743570405e-14, -6.0285110237146e-14, -7.2497563508022722e-14, -8.9372953482325102e-14, -1.0624834345662748e-13, -1.191269305422793e-13, -1.2645440250480533e-13, -1.2889689315898067e-13, -1.2867484855405564e-13, -1.2756462552943049e-13, -1.255662240851052e-13, -1.220135104063047e-13, -1.1690648449302898e-13, -1.1113332476497817e-13, -1.0580425424677742e-13, -1.0202949596305189e-13, -1.006972283335017e-13, -1.0202949596305189e-13, -1.0469403122215226e-13, -1.0669243266647754e-13, -1.0624834345662748e-13, -1.0225154056797692e-13, -9.4479979395600822e-14, -8.4487972173974413e-14, -7.560618797697316e-14, -7.2053474298172659e-14, -7.6050277186823223e-14, -8.6708418223224726e-14, -1.0025313912365164e-13, -1.1179945857975326e-13, -1.1779466291272911e-13, -1.1779466291272911e-13, -1.1335377081422848e-13, -1.0669243266647754e-13, -1.000310945187266e-13, -9.5368157815300947e-14, -9.4035890185750759e-14, -9.6478380839926103e-14, -1.0180745135812685e-13, -1.0824674490095276e-13, -1.1290968160437842e-13, -1.1335377081422848e-13, -1.0891287871572786e-13, -1.006972283335017e-13, -9.1371354926650383e-14, -8.404388296412435e-14, -8.1823436914874037e-14, -8.6486373618299694e-14, -9.7144514654701197e-14, -1.0913492332065289e-13, -1.1579626146840383e-13, -1.1224354778960333e-13, -9.8920871494101448e-14, -8.1157303100098943e-14, -6.6724403779971908e-14, -6.1617377866696188e-14}; + static constexpr double impulse[256] = {0.25784201317072541, -0.7062100024363871, 0.28083660766673635, 0.3828153979902722, 0.10632436817344204, -0.15352704882448287, -0.23099447034988696, -0.1470250353812923, -0.0046161107432853843, 0.1019275355523349, 0.13080106523870849, 0.092247628426957773, 0.024127705925034659, -0.035222706691759545, -0.063844359512694349, -0.059654207873667403, -0.034382698338405904, -0.0041240504379667364, 0.018422793189105117, 0.027609149522067257, 0.024508196447956473, 0.014202406888071409, 0.0025743804931728509, -0.0060426268107784727, -0.0098242271509153684, -0.0091945793648415611, -0.0058860488955536638, -0.0018946258008334695, 0.0012733146238346465, 0.002916103547351028, 0.0030710460554847548, 0.0022316668974595773, 0.0010221239224026801, -4.8929882715498425e-05, -0.00070532820956467298, -0.00090253205430982069, -0.00075402696210092289, -0.00043613750553843714, -0.00010960601824307322, 0.00012386736398020307, 0.00023003785316784528, 0.00022645957107913259, 0.00015699323533103701, 6.8206377663308088e-05, -5.8022142949768472e-06, -4.8806712163037519e-05, -6.0290341928342093e-05, -4.9373250197254749e-05, -2.823658432950143e-05, -7.243781516320637e-06, 7.4386780966560073e-06, 1.4002420621927322e-05, 1.3783231003003503e-05, 9.5927468946803798e-06, 4.2822383095969679e-06, -1.2328648721461946e-07, -2.6919735001272415e-06, -3.4166724312306931e-06, -2.8392078933867159e-06, -1.6646200437449461e-06, -4.8489475117929435e-07, 3.5017408220565775e-07, 7.3692242805658342e-07, 7.4695251119858984e-07, 5.3346226730492602e-07, 2.5210101235235507e-07, 1.3897570316900078e-08, -1.2903709546576499e-07, -1.7439640355218766e-07, -1.4960154773231643e-07, -9.1291927684710009e-08, -3.0651108638630783e-08, 1.351634641301685e-08, 3.514697477231121e-08, 3.7360759057568183e-08, 2.7682047910302134e-08, 1.3967519561348889e-08, 1.9495245715345296e-09, -5.55811392986874e-09, -8.2574963817538004e-09, -7.3912701314574983e-09, -4.7248179526618225e-09, -1.8048382521984318e-09, 4.0353935717644801e-10, 1.5542472753778181e-09, 1.7592895898399067e-09, 1.3610602983868588e-09, 7.3353091736227655e-10, 1.5872370118549994e-10, -2.1710993244794526e-10, -3.6862349875076691e-10, -3.4722616662168514e-10, -2.3316755794309135e-10, -9.9597545762955488e-11, 5.9164712374248264e-12, 6.4429772735949055e-11, 7.8929868510453292e-11, 6.4054674061369355e-11, 3.6789005933706222e-11, 1.0461883288829281e-11, -7.6027796071189363e-12, -1.5658534049071534e-11, -1.5650942732781216e-11, -1.1056533343097025e-11, -5.2013241433067411e-12, -3.4778588949057553e-13, 2.5117991569383532e-12, 3.3991374025503874e-12, 2.9058998173123081e-12, 1.7736560228650602e-12, 6.1111375544692612e-13, -2.27381375277325e-13, -6.3599474093755473e-13, -6.8097890255489309e-13, -5.0669983125999923e-13, -2.5937050449533305e-13, -4.3274702677721537e-14, 9.1707102416258725e-14, 1.4116304343890332e-13, 1.2771760137935499e-13, 8.2645862565371897e-14, 3.2924851153728938e-14, -4.8278128798115499e-15, -2.4735356686285688e-14, -2.871888992455785e-14, -2.2540934298906989e-14, -1.2440296650278383e-14, -3.0911958167545365e-15, 3.0891281462850648e-15, 5.6676218342468233e-15, 5.4580157841354963e-15, 3.7381593845496402e-15, 1.6720780769509411e-15, 1.7532960924565857e-17, -9.1939019700197762e-16, -1.1770677610896232e-15, -9.7664382067160317e-16, -5.7720353350545346e-16, -1.8305213808260188e-16, 9.2385357608594352e-17, 2.201647414654035e-16, 2.2738174719757936e-16, 1.6469264222269374e-16, 8.111638188535911e-17, 1.034475360074364e-17, -3.2448577845025967e-17, -4.6957168211046946e-17, -4.1318620573988384e-17, -2.6022625137038868e-17, -9.7969872273865148e-18, 2.1850588952601204e-18, 8.2664351906343723e-18, 9.2508287763201079e-18, 7.0867456674445891e-18, 3.7923658424892304e-18, 8.317750176563375e-19, -1.0720590611826349e-18, -1.8242823082708048e-18, -1.7100999436901701e-18, -1.1439453020211508e-18, -4.9086796331035244e-19, 1.9057422134867383e-20, 2.9900957307792684e-19, 3.6793795746786144e-19, 2.9846472054159366e-19, 1.7192238009715048e-19, 5.0613011467439727e-20, -3.2128842061934762e-20, -6.8981679388557856e-20, -6.9334373217125399e-20, -4.9166317771464945e-20, -2.3446786116210637e-20, -2.1795457055170494e-21, 1.0349659799190577e-20, 1.4312611119281089e-20, 1.2322960684681054e-20, 7.5911482839134901e-21, 2.7173944012589669e-21, -8.0355385527668925e-22, -2.53414426007155e-21, -2.7561577511659917e-21, -2.0703982753849038e-21, -1.0792373962037381e-21, -2.088248910134593e-22, 3.3838784133660664e-22, 5.4437669151729278e-22, 4.9938111973264739e-22, 3.2754396131137499e-22, 1.3543121176895702e-22, -1.1532873705161028e-23, -9.0117763402319794e-23, -1.0746494419971317e-22, -8.5559860640567832e-23, -4.8203592478215746e-23, -1.3211511705069627e-23, 1.017749961981854e-23, 2.0223518342538332e-23, 1.9879254010413347e-23, 1.3845238942368806e-23, 6.4140779237786919e-24, 3.8875300682237058e-25, -3.0821546304101757e-24, -4.1097081795015795e-24, -3.4741540492121855e-24, -2.0991060412397406e-24, -7.1643386667671899e-25, 2.6401784502468661e-25, 7.3227937216031938e-25, 7.7771638913974039e-25, 5.7440894973701621e-25, 2.9240898789193448e-25, 4.9515358584377362e-26, -1.0020415151030763e-25, -1.5405600979787384e-25, -1.3873132424710599e-25, -8.9423812660973068e-26, -3.5707769479012884e-26, 4.6671849892233979e-27, 2.5750373452455287e-26, 2.9904950757367342e-26, 2.3423515261078752e-26, 1.2933397017462919e-26, 3.298825538028448e-27, -3.0271168169243912e-27, -5.6535732366793769e-27, -5.45123554295894e-27, -3.7360460551708414e-27, -1.6843905132350636e-27, -4.9056932688656661e-29, 8.7403343019138681e-28, 1.1299116312272152e-27, 9.398342560844359e-28, 5.578970209968166e-28, 1.8169764984524043e-28, -8.0680576492248437e-29, -2.0267678284467716e-28, -2.1082826223406069e-28, -1.5335903389001235e-28, -7.6351834561828616e-29, -1.1143827503705458e-29, 2.8335013033320522e-29, 4.1918446469908615e-29, 3.7131243761473172e-29, 2.3554491689401726e-29, 9.0921931195124304e-30, -1.6079153462844824e-30, -7.0729016383150271e-30, -8.0252872200457278e-30, -6.1934890242307551e-30, -3.3556435724788002e-30, -7.9433872655321045e-31, 8.6015499916817387e-31, 1.5249309843383176e-30, 1.4451529030219066e-30, 9.7585443054918454e-31, 4.2855901318879171e-31}; + static constexpr double chirp_in[4096] = {1, 0.99999992642979929, 0.99999882287700514, 0.99999404081958787, 0.9999811660875062, 0.99995401897637071, 0.99990465453387189, 0.99982336314626385, 0.99969867158853654, 0.99951734473821929, 0.99926438818900221, 0.998923052036508, 0.99847483614453059, 0.99789949723582638, 0.99717505818699503, 0.99627781994202647, 0.99518237649358454, 0.9938616334148932, 0.99228683045801158, 0.99042756876612315, 0.98825184327798898, 0.98572608093165093, 0.98281518530153245, 0.97948258832792745, 0.9756903098201305, 0.97139902543374301, 0.96656814383854717, 0.96115589380530031, 0.95511942194735522, 0.94841490185561306, 0.94099765536237645, 0.93282228666059408, 0.92384282998911005, 0.91401291157120323, 0.90328592646221384, 0.89161523092170281, 0.87895435087564089, 0.86525720697385833, 0.85047835667664762, 0.83457325372130264, 0.81749852522376165, 0.79921226656174948, 0.77967435406322239, 0.75884677538693723, 0.73669397733007314, 0.7131832306305963, 0.68828501114913054, 0.66197339661628929, 0.6342264779166199, 0.60502678364962148, 0.57436171646195799, 0.54222399938345511, 0.50861213012343165, 0.4735308409942906, 0.43699156182725674, 0.39901288293222104, 0.35962101483159181, 0.31885024116901001, 0.27674336086026408, 0.2333521152185779, 0.18873759545291671, 0.14297062560971868, 0.096132115709591626, 0.048313379525507044, -0.00038358883718521143, -0.049845885660697295, -0.099949521968676278, -0.15055930804420456, -0.20152880479580074, -0.25270034875965974, -0.30390515757424702, -0.35496352274746379, -0.4056850964493664, -0.45586927889726703, -0.50530571264738766, -0.55377488976053313, -0.60104887736125978, -0.64689216655377857, -0.69106264898686465, -0.73331272456861973, -0.77339054291489417, -0.81104138006864557, 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-0.91694531966419934, 0.89946560517507124, -0.88077723780042294, 0.86099576136681266, -0.84023397603959249, 0.81860162390640867, -0.796205118714578, 0.77314731759783095, -0.74952733250471737, 0.72544037896198199, -0.70097765980604587, 0.67622628148050334, -0.65126920047273773, 0.62618519753795332, -0.60104887736144608, 0.57593069136480424, -0.55089698145218191, 0.52601004251397765, -0.50132820166018488, 0.47690591218530526, -0.45279386036808306, 0.4290390833651167, -0.40568509645037554, 0.3827720280763382, -0.36033676125198227, 0.33841307983513402, -0.31703181849472845, 0.29622101515464083, -0.2760060647928777, 0.25640987367073959, -0.23745301300816751, 0.2191538713382635, -0.20152880479604404, 0.18459228461925636, -0.16835704134700888, 0.15283420512977428, -0.13803344170061341, 0.12396308361540023, -0.110630256377754, 0.098040999160336914, -0.086200379880266867, 0.075112604335562244, -0.064781119288953887, 0.055208709333225685, -0.046397587328288914, 0.038349478447046295, -0.03106569760236999, 0.024547220292490568, -0.018794746789342908, 0.013808759594209193, -0.0095895741816169593, 0.0061373830151254354, -0.0034522927602768901, 0.0015343547837478589, -0.00038358883724551112, -4.1594761818964385e-13}; + static constexpr double chirp[4096] = {0.25784201317072541, -0.44836800823515033, -0.16753163315467656, 0.21528329049909939, 0.32160737808065459, 0.16808064859887295, -0.062912930797652145, -0.20993693942891678, -0.21455241676948411, -0.11262494609971824, 0.01817540744159063, 0.11042200767851063, 0.13454878332042908, 0.099325552968099751, 0.03548117825609276, -0.024172634494192768, -0.058554742715823449, -0.062678235506245128, -0.044255075644265562, -0.016645805787371681, 0.0078623013554188215, 0.022064499303151741, 0.024638649956542968, 0.018595846329098775, 0.008771529562982161, -0.00042305529329772495, -0.0063090525607845671, -0.0082036042756794825, -0.0069302223615045899, -0.004014075286690455, -0.00094301342772079577, 0.0012886471165237667, 0.0023107525212442137, 0.0022618017926148148, 0.0015564572339861471, 0.00065391624197022602, -0.00010011264055928559, -0.00053624739138810606, -0.00064584884526378006, -0.00052197745839849263, -0.00029193747258615677, -6.5478001804952779e-05, 9.1513268743320664e-05, 0.00015971650683010985, 0.00015391065705250284, 0.00010510028337093469, 4.4806456574786324e-05, -4.5701224040683996e-06, -3.2810030557717251e-05, -4.0057317861524888e-05, -3.2622482077332426e-05, -1.8624330301919567e-05, -4.8458188294242532e-06, 4.7417821642248281e-06, 9.0184976909712944e-06, 8.8893664115657911e-06, 6.191274615902076e-06, 2.7682491392788666e-06, -7.7514844556980655e-08, -1.748863726648564e-06, -2.2406253305171098e-06, -1.8974125802415087e-06, -1.1674913076853422e-06, -4.2751347420662278e-07, 9.9077931654741351e-08, 3.4449922474769079e-07, 3.5200455728370827e-07, 2.1696739829074607e-07, 3.7075826214705287e-08, -1.1739537615629292e-07, -2.1280303473536488e-07, -2.4668000458971662e-07, -2.3535667417751149e-07, -2.0122066912708902e-07, -1.6353452239603605e-07, -1.3403270929246425e-07, -1.1659098567151638e-07, -1.0935263614064716e-07, -1.0764916485994647e-07, -1.0651864160160507e-07, -1.0224891902610445e-07, -9.2903311876835204e-08, -7.8105119483140584e-08, -5.8459524360232606e-08, -3.4938249793281528e-08, -8.4254266896621743e-09, 2.0508671288999025e-08, 5.1634928166510718e-08, 8.4969062730255729e-08, 1.2063143561835687e-07, 1.5872175390674315e-07, 1.992380228577062e-07, 2.4204359833079891e-07, 2.8687046055297927e-07, 3.3334135762785877e-07, 3.8099548266279371e-07, 4.2930807572783003e-07, 4.7770049774187306e-07, 5.2554188242903699e-07, 5.7214582055431507e-07, 6.1676586102232811e-07, 6.5859274769874965e-07, 6.9675499597687818e-07, 7.3032320510590942e-07, 7.5831775647738908e-07, 7.7971924705710904e-07, 7.9348103208809473e-07, 7.985434853363671e-07, 7.9384984728175789e-07, 7.7836367264050299e-07, 7.5108800232093209e-07, 7.1108634601196527e-07, 6.5750546947296318e-07, 5.8959991095647313e-07, 5.0675798816957052e-07, 4.0852900581866969e-07, 2.9465126266670083e-07, 1.6508040448504069e-07, 2.0017605933952964e-08, -1.4006298393320904e-07, -3.1438818007267777e-07, -5.0186175531985455e-07, -7.010432416798551e-07, -9.1013035660725272e-07, -1.1269458769780361e-06, -1.3489298484603562e-06, -1.5731380276218232e-06, -1.7962474394006556e-06, -2.0145699244356052e-06, -2.2240744907975341e-06, -2.4204192219379195e-06, -2.598993395330762e-06, -2.7549703370544076e-06, -2.8833713708875663e-06, -2.9791410277590913e-06, -3.0372334620110131e-06, -3.0527097562293992e-06, -3.0208455071845108e-06, -2.9372478006772784e-06, -2.7979802996874747e-06, -2.5996948271322928e-06, -2.3397674757119624e-06, -2.0164368134019395e-06, -1.6289414609838709e-06, -1.17765390834218e-06, -6.6420703037639583e-07, -9.1609587055119235e-08, 5.3565343877126637e-07, 1.2115398848322467e-06, 1.9283932422842209e-06, 2.6769137487225869e-06, 3.4461620648795765e-06, 4.2235997497475086e-06, 4.995170375499125e-06, 5.7454246636390316e-06, 6.4576924067583086e-06, 7.1143031567522108e-06, 7.696856699046517e-06, 8.1865432297045793e-06, 8.5645118936272802e-06, 8.8122849261074165e-06, 8.9122130931817978e-06, 8.8479665032725752e-06, 8.6050531316606005e-06, 8.171355679126302e-06, 7.5376756207001794e-06, 6.6982716595553882e-06, 5.6513782037276306e-06, 4.3996881506497276e-06, 2.9507831068482926e-06, 1.3174933080999096e-06, -4.8183081168690078e-07, -2.423153602243433e-06, -4.4767132375833629e-06, -6.6071213491725178e-06, -8.7736179170683215e-06, -1.0930493856586843e-05, -1.3027690509093137e-05, -1.5011581524726481e-05, -1.6825938237846616e-05, -1.8413074433010213e-05, -1.971516086396452e-05, -2.0675693668370521e-05, -2.1241094390833659e-05, -2.1362412626735328e-05, -2.099709559499896e-05, -2.0110782437438024e-05, -1.8679074938660056e-05, -1.6689230970062807e-05, -1.4141722445820681e-05, -1.1051596398137242e-05, -7.4495759440074139e-06, -3.3828379761807574e-06, 1.084593618957963e-06, 5.8718961492842947e-06, 1.0881988087935168e-05, 1.6002602121339971e-05, 2.1107920873730812e-05, 2.6060790926596411e-05, 3.0715514238222053e-05, 3.4921197536535997e-05, 3.8525620003615479e-05, 4.1379557935150579e-05, 4.334148276757821e-05, 4.4282526496103314e-05, 4.4091586880234956e-05, 4.2680424768709591e-05, 3.9988588347972254e-05, 3.5987985004509726e-05, 3.0686911892147117e-05, 2.4133351919988777e-05, 1.6417343912784876e-05, 7.6722445436008813e-06, -1.9252837768282682e-06, -1.2156700474760807e-05, -2.2764538533379119e-05, -3.3456948550170118e-05, -4.3913855157090564e-05, -5.379469103691803e-05, -6.2747613435776284e-05, -7.0420043900482066e-05, -7.6470305639009251e-05, -8.0580067054303317e-05, -8.2467236862671101e-05, -8.1898898823845601e-05, -7.8703825300785457e-05, -7.2784071771164749e-05, -6.412513186235258e-05, -5.2804127298897163e-05, -3.8995521721665871e-05, -2.2973883574042842e-05, -5.1132824709365643e-06, 1.4117013873438111e-05, 3.4160769304722449e-05, 5.4387035410941031e-05, 7.410638746752074e-05, 9.2590931840108581e-05, 0.00010909770376876793, 0.00012289489733499637, 0.00013329019432728462, 0.00013966029330814145, 0.0001414805928452445, 0.00013835386208674305, 0.00013003664587823982, 0.0001164621087024198, 9.7758028643452066e-05, 7.425871555227781e-05, 4.6509749982687199e-05, 1.5264624024209118e-05, -1.8527390029721147e-05, -5.3742514425456078e-05, -8.911290254765003e-05, -0.0001232658617743021, -0.0001547710653916623, -0.00018219452280685, -0.00020415765031134292, -0.00021939938458598318, -0.00022683892997199528, -0.00022563644990686305, -0.00021524882484974528, -0.00019547752269924445, -0.00016650568013804046, -0.00012892168687807237, -8.3726906690395619e-05, -3.2325660155036254e-05, 2.3503772544931911e-05, 8.1657608313384644e-05, 0.00013977408949583658, 0.00019531875299363954, 0.00024568512912703788, 0.00028830758605127849, 0.00032078211920910649, 0.00034099007756649424, 0.00034721917317981355, 0.00033827568841662825, 0.00031358162228500852, 0.00027325064181440983, 0.00021813715308531545, 0.0001498535924132488, 7.0752157915849549e-05, -1.6131366477704911e-05, -0.00010717233897873657, -0.00019828926997750296, -0.00028510979702781047, -0.00036316522374046922, -0.00042810620727581905, -0.00047593035354842605, -0.00050321096008693056, -0.00050731505157278201, -0.00048659828836042363, -0.00044056438221093397, -0.00036997738996741303, -0.00027691670761637033, -0.00016476674867931147, -3.8136117075635023e-05, 9.7295514853448783e-05, 0.00023500077009974696, 0.0003678920084641546, 0.00048866251164728092, 0.00059016708340539625, 0.00066582416956179058, 0.00071001871711484643, 0.00071848302946087017, 0.00068863204799629596, 0.00061982996715559402, 0.00051356697721337274, 0.00037352825991973648, 0.00020554208403893767, 1.7399817569069276e-05, -0.00018145234508114283, -0.00038034247508456076, -0.00056790740379319971, -0.00073270943355871476, -0.00086390499451211022, -0.00095192909080721311, -0.00098915518590889095, -0.00097048811037053762, -0.00089384798395331089, -0.00076050624936369049, -0.00057524078792126065, -0.00034628562491544187, -8.5061644796977087e-05, 0.0001943124532589463, 0.00047571567425461203, 0.00074189894107767884, 0.00097549620873893517, 0.0011601181316087672, 0.0012814638301362757, 0.0013283795655694708, 0.0012937905468307642, 0.0011754342435967291, 0.00097633077679147584, 0.00070493819620792014, 0.00037495737605951901, 4.7721386029625501e-06, -0.00038346602403413477, -0.00076507401044226264, -0.0011143342342330165, -0.001406169937337054, -0.0016178964406782792, -0.0017309322291891305, -0.0017323469619786591, -0.0016161248963611208, -0.0013840324868838183, -0.0010459981512472155, -0.00061993981158265515, -0.00013101056773791309, 0.00038972717232022003, 0.0009071460857733582, 0.001384321356361462, 0.0017850865882802491, 0.002076711343342752, 0.0022325108798322557, 0.0022341885222506852, 0.0020737152597079811, 0.0017545706440787179, 0.0012922037223901221, 0.00071362127150794569, 5.6070465595831065e-05, 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0.35258820585460715, -0.33085013745934561, 0.30966469909598648, -0.28905898165207694, 0.26905748702376886, -0.24968228226385419, 0.23095315293488813, -0.21288775482073891, 0.1955017633423434, -0.17880901999660298, 0.16282167524029681, -0.14755032737255924, 0.13300415689703574, -0.11919105600969168, 0.1061177528978616, -0.093789930498538954, 0.08221233953538748, -0.071388905574099465, 0.061322829920094531, -0.052016684279698085, 0.043472498969098085, -0.035691844628604703, 0.028675907395319729, -0.022425557389432797, 0.016941410559975202, -0.01222388381461963, 0.0082732433727058952, -0.0050896464287136746, 0.0026731760157799062, -0.0010238690910989452, 0.00014173789721363156}; +}; + +struct case_hp_zeta_8_100Hz_1000Hz_z50 +{ + static constexpr int order = 8; + static constexpr double cutoff_hz = 100.0; + static constexpr double sample_rate_hz = 1000.0; + + static constexpr double b[9] = {1, -6.4068012327535548, 18.669899996106224, -32.136944579213718, 35.533687463006288, -25.707531434670809, 11.828705893573829, -3.1520430105287485, 0.37102690448048631}; + static constexpr double a[9] = {1, -4.9993020631491074, 11.506335283842017, -15.810433221033026, 14.147809982871143, -8.4346778384123073, 3.2748128306055437, -0.75907303810176574, 0.081002592157944114}; + static constexpr double step[256] = {1, -0.40749916960444743, -0.28044795982440895, 0.22336541437182689, 0.41289268793090184, 0.21226304790506223, -0.12140713635518896, -0.32439846297677999, -0.29826557368926565, -0.1097740236020206, 0.10240688102464013, 0.22505022488409754, 0.22006283657949766, 0.12003591399167224, -0.0082649610529612616, -0.10404135337565457, -0.13692557406994954, -0.11052747715813105, -0.050722453788901944, 0.011300674470970051, 0.052636020570339781, 0.064687717666556566, 0.051862398602825266, 0.025896072532472836, -0.00061044546552402323, -0.018831994836256527, -0.025500445021696017, -0.022179645050703023, -0.013147176290414286, -0.0030880974759668334, 0.0045564469299153032, 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3.3058000781238661e-12, 9.6900265589283663e-13, -7.638334409421077e-13, -1.6600054664195341e-12, -1.815436689867056e-12, -1.4930279235159105e-12, -9.8232533218833851e-13, -5.0714987764877151e-13, -1.8562928971732617e-13, -3.8191672047105385e-14, -2.3980817331903381e-14, -8.2600593032111647e-14, -1.6608936448392342e-13, -2.4957813593573519e-13, -3.2773783686934621e-13, -4.0412118096355698e-13, -4.8405723873656825e-13, -5.6932236702778027e-13, -6.5281113847959205e-13, -7.1942451995710144e-13, -7.4873440780720557e-13, -7.1942451995710144e-13, -6.1906035853098729e-13, -4.5563552930616424e-13, -2.6378899065093719e-13, -9.50350909079134e-14, 2.6645352591003757e-15, 2.6645352591003757e-15, -9.50350909079134e-14, -2.6734170432973769e-13, -4.7695181137896725e-13, -6.830092047493963e-13, -8.5087492607271997e-13, -9.5656815801703488e-13, -9.8765440270653926e-13, -9.4413366014123312e-13, -8.3666407135751797e-13, -6.830092047493963e-13, -5.0981441290787188e-13, -3.4994229736184934e-13, -2.3625545964023331e-13, -1.9539925233402755e-13, -2.4158453015843406e-13, -3.659295089164516e-13, -5.3468340865947539e-13, -7.0166095156309893e-13, -8.2334139506201609e-13, -8.7041485130612273e-13, -8.3577589293781784e-13, -7.3896444519050419e-13, -6.2083671537038754e-13, -5.2668980288217426e-13, -4.89386309254769e-13, -5.1780801868517301e-13, -5.9596771961878403e-13, -6.9544370262519806e-13, -7.8692607985431096e-13, -8.446576771348191e-13, -8.4909856923331972e-13, -7.9314332879221183e-13, -6.8567374000849668e-13, -5.4978244179437752e-13, -4.2010839251815923e-13, -3.3661962106634746e-13, -3.3129055054814671e-13, -4.1655567883935873e-13, -5.7998050806418178e-13, -7.8248518775581033e-13, -9.681144774731365e-13, -1.0826894936144527e-12, -1.0906830993917538e-12, -9.8498986744743888e-13, -7.8692607985431096e-13, -5.4090065759737627e-13, -3.0464519795714295e-13, -1.3411494137471891e-13, -6.4837024638109142e-14, -9.8587804586713901e-14, -2.0516921495072893e-13, -3.3839597790574771e-13, -4.5741188614556449e-13, -5.3912430075797602e-13, -5.7998050806418178e-13, -5.9063864910058328e-13, -5.8530957858238253e-13, -5.7465143754598103e-13, -5.6221693967017927e-13, -5.4800608495497727e-13, -5.3024251656097476e-13, -5.0537352080937126e-13, -4.716227408607665e-13, -4.3254289039396099e-13, -3.9523939676655573e-13, -3.6681768733615172e-13, -3.5615954629975022e-13, -3.7392311469375272e-13, -4.2543746303635999e-13, -5.0359716396997101e-13, -5.8886229226118303e-13, -6.5636385215839255e-13, -6.8389738316909643e-13, -6.616929226765933e-13, -5.9685589803848416e-13, -5.1159076974727213e-13, -4.4053649617126212e-13, -4.1566750041965861e-13, -4.4764192352886312e-13, -5.1869619710487314e-13, -5.9330318435968366e-13, -6.3593574850528967e-13, -6.2350125062948791e-13, -5.5067062021407764e-13, -4.3165471197426086e-13, -2.9842794901924208e-13, -1.9539925233402755e-13, -1.6520118606422329e-13, -2.2915003228263231e-13, -3.7836400679225335e-13, -5.773159728050814e-13, -7.744915819785092e-13, -9.1571195071082911e-13, -9.5567997959733475e-13, -8.730793865652231e-13, -6.8034466949029593e-13, -4.2188474935755949e-13, -1.5720758028692217e-13, 5.773159728050814e-14, 1.8207657603852567e-13, 1.9273471707492718e-13, 8.7929663550312398e-14, -1.1102230246251565e-13, -3.5971225997855072e-13, -5.9952043329758453e-13, -7.7360340355880908e-13, -8.4554585555451922e-13, -8.1445961086501484e-13, -7.1587180627830094e-13, -6.0484950381578528e-13, -5.3201887340037501e-13, -5.2491344604277401e-13, -5.8175686490358203e-13, -6.7768013423119555e-13, -7.7271522513910895e-13}; + static constexpr double impulse[256] = {1, -1.4074991696044474, 0.12705120978003848, 0.50381337419623629, 0.18952727355907761, -0.20062964002583006, -0.33367018426022876, -0.20299132662155173, 0.026132889287566741, 0.18849155008729473, 0.21218090462668193, 0.12264334385942588, -0.0049873883046895884, -0.10002692258795411, -0.12830087504476212, -0.095776392322779125, -0.032884220694307353, 0.026398096911888769, 0.059805023369365912, 0.062023128260036087, 0.041335346099511228, 0.01205169709629364, -0.012825319063738704, -0.025966326070436641, -0.026506517998126922, -0.018221549370865286, -0.0066684501855345385, 0.0033207999709603322, 0.0090324687603194551, 0.010059078814516932, 0.0076445444059484585, 0.0037083415608199499, -9.4152706171871103e-06, -0.0024417502462099473, -0.0032954507990165856, -0.0028681492101210303, -0.001743969800555252, -0.00050941485791906188, 0.0004278434002188674, 0.00089820555961744701, 0.0009341409196509708, 0.00068562107983678993, 0.00033128993426883137, 1.4250100570604085e-05, -0.00018722397127806571, -0.00025840406071046536, -0.00022830148604252045, -0.00014439677457148701, -5.1589504638895663e-05, 1.9968214191290663e-05, 5.797373635780883e-05, 6.4617447982450691e-05, 5.0283951468636388e-05, 2.7323482552047145e-05, 5.6995171779314899e-06, -8.9499259803319237e-06, -1.5225195909595503e-05, -1.4682401286899617e-05, -1.0205860280987236e-05, -4.6473264393493861e-06, -2.0490598156944239e-08, 2.7387953742304826e-06, 3.6051836927588021e-06, 3.1023346556781066e-06, 1.9303404285033464e-06, 6.9402351405744154e-07, -2.3070947290214835e-07, -7.1036397219935807e-07, -7.9248361444803394e-07, -6.177259348264927e-07, -3.4151420823355315e-07, -8.3770695811257923e-08, 9.046596936501755e-08, 1.6676401065924572e-07, 1.6438520254234415e-07, 1.1680958792579593e-07, 5.6321471905397494e-08, 5.3613309582646754e-09, -2.5714199294901808e-08, -3.6504080066727951e-08, -3.2500683189031306e-08, -2.1060278881074441e-08, -8.5384507864300142e-09, 1.0851315718430913e-09, 6.3290264550063147e-09, 7.5730456053353239e-09, 6.1634622353308018e-09, 3.6233451048580197e-09, 1.1475149515706586e-09, -5.953261083289414e-10, -1.4275898803530009e-09, -1.5038144840754011e-09, -1.1254915751825696e-09, -5.9330893546677988e-10, -1.2268873872541134e-10, 1.8049382024852954e-10, 3.0286180242666686e-10, 2.8766528191173079e-10, 1.9829662185266213e-10, 9.177384888855874e-11, 5.4120735079136971e-12, -4.5214232031628729e-11, -6.1296992674934382e-11, -5.3231890442409148e-11, -3.3719237592468482e-11, -1.3191416563936275e-11, 2.145438273880758e-12, 1.0231473565159619e-11, 1.1938485365136745e-11, 9.5544400483856192e-12, 5.525258432591642e-12, 1.6975848858589691e-12, -9.4095096260491269e-13, -2.1665514671320353e-12, -2.2501335491454124e-12, -1.6658019882898989e-12, -8.6891415386598627e-13, -1.7606657282384262e-13, 2.6352370163245819e-13, 4.3699607958819598e-13, 4.1193865049702689e-13, 2.8222198232137955e-13, 1.3009046094443351e-13, 8.0993545360696214e-15, -6.2684028661138959e-14, -8.4821692729509646e-14, -7.3431270172154397e-14, -4.6427375848337619e-14, -1.825310847215137e-14, 2.6611395466252118e-15, 1.3630104751419346e-14, 1.5945421582793386e-14, 1.2764119522576196e-14, 7.3998426624655992e-15, 2.3214234808943655e-15, -1.1700049989233141e-15, -2.7929041472296902e-15, -2.9153079362208822e-15, -2.1649053304905602e-15, -1.13788322838227e-15, -2.4504800228411271e-16, 3.2195272590848628e-16, 5.4778037843509829e-16, 5.1982821093985631e-16, 3.582203251788443e-16, 1.6753290425290618e-16, 1.4241264514992715e-17, -7.5127346646644191e-17, -1.0377392496983908e-16, -9.056063747374308e-17, -5.7763502433349572e-17, -2.3289892764623735e-17, 2.4243717688571378e-18, 1.6038108716309559e-17, 1.9097134097685529e-17, 1.5429956016951341e-17, 9.0566140486462827e-18, 2.97211429339413e-18, -1.2410957271681117e-18, -3.2306636609757754e-18, -3.426556232955839e-18, -2.5720646716032253e-18, -1.3751719846840806e-18, -3.2498010299628821e-19, 3.485176171521307e-19, 6.2378189633760077e-19, 6.0092500526357245e-19, 4.1931663854991588e-19, 2.0085031823303307e-19, 2.342126545111236e-20, -8.1377964909639189e-20, -1.1649311788913625e-19, -1.0316488988254436e-19, -6.6781828269192681e-20, -2.7880295000478591e-20, 1.4701334213118593e-21, 1.7282024404840977e-20, 2.1160831052807888e-20, 1.7352720704148436e-20, 1.0368239749287083e-20, 3.5940365267574369e-21, -1.1579361246293986e-21, -3.4559825170717409e-21, -3.7524286970437748e-21, -2.8604714048827437e-21, -1.5635824771135153e-21, -4.0819663692565246e-22, 3.4396884981015043e-22, 6.6202545550465833e-22, 6.511459776571424e-22, 4.6194363800902313e-22, 2.2767773485948709e-22, 3.4507353011419332e-23, -8.1643187548638169e-23, -1.2265976291637597e-22, -1.107365767019928e-22, -7.300790723917659e-23, -3.1687201213580105e-23, -2.0373392168377481e-26, 1.7416800716683874e-23, 2.2111979488088688e-23, 1.8472281475036945e-23, 1.1270575214666298e-23, 4.1365597532409394e-24, -9.5166528702032074e-25, -3.4820156997333644e-24, -3.8932000161404407e-24, -3.0233365614499021e-24, -1.6940973233600845e-24, -4.8662445971472062e-25, 3.1391259327872743e-25, 6.6539292067501818e-25, 6.7115474364627458e-25, 4.8536108279686409e-25, 2.4666690104812495e-25, 4.6139759119514942e-26, -7.6953567282702333e-26, -1.2286227477730656e-25, -1.134666470923132e-25, -7.6359235667319847e-26, -3.4493633768164287e-26, -1.8087914847082705e-27, 1.6632198426364883e-26, 2.2064130614779583e-26, 1.8829678438746385e-26, 1.17528730221486e-26, 4.5623261965564882e-27, -6.6500694225480617e-28, -3.3433583751894188e-27, -3.8697825991756907e-27, -3.0683211106046824e-27, -1.764858727796588e-27, -5.5351820510470183e-28, 2.660625147211695e-28, 6.4009019873400238e-28, 6.6465078082469488e-28, 4.9086719352176935e-28, 2.5741694571351573e-28, 5.7070245048956557e-29, -6.8697196762295866e-29, -1.1819285583501743e-28, -1.1198635276108756e-28, -7.7038055583395479e-29, -3.6206926095501581e-29, -3.6626953442702838e-30, 1.5175561159838114e-29, 2.1205644857877006e-29, 1.852904515849137e-29, 1.1843910524960425e-29, 4.8502813456983218e-30, -3.4099500547908485e-31, -3.0834921352915085e-30, -3.7139961372950195e-30, -3.0120435262876222e-30, -1.7794877419808538e-30, -6.0429527646340435e-31}; + static constexpr double chirp_in[4096] = {1, 0.99999992642979929, 0.99999882287700514, 0.99999404081958787, 0.9999811660875062, 0.99995401897637071, 0.99990465453387189, 0.99982336314626385, 0.99969867158853654, 0.99951734473821929, 0.99926438818900221, 0.998923052036508, 0.99847483614453059, 0.99789949723582638, 0.99717505818699503, 0.99627781994202647, 0.99518237649358454, 0.9938616334148932, 0.99228683045801158, 0.99042756876612315, 0.98825184327798898, 0.98572608093165093, 0.98281518530153245, 0.97948258832792745, 0.9756903098201305, 0.97139902543374301, 0.96656814383854717, 0.96115589380530031, 0.95511942194735522, 0.94841490185561306, 0.94099765536237645, 0.93282228666059408, 0.92384282998911005, 0.91401291157120323, 0.90328592646221384, 0.89161523092170281, 0.87895435087564089, 0.86525720697385833, 0.85047835667664762, 0.83457325372130264, 0.81749852522376165, 0.79921226656174948, 0.77967435406322239, 0.75884677538693723, 0.73669397733007314, 0.7131832306305963, 0.68828501114913054, 0.66197339661628929, 0.6342264779166199, 0.60502678364962148, 0.57436171646195799, 0.54222399938345511, 0.50861213012343165, 0.4735308409942906, 0.43699156182725674, 0.39901288293222104, 0.35962101483159181, 0.31885024116901001, 0.27674336086026408, 0.2333521152185779, 0.18873759545291671, 0.14297062560971868, 0.096132115709591626, 0.048313379525507044, -0.00038358883718521143, -0.049845885660697295, -0.099949521968676278, -0.15055930804420456, -0.20152880479580074, -0.25270034875965974, -0.30390515757424702, -0.35496352274746379, -0.4056850964493664, -0.45586927889726703, -0.50530571264738766, -0.55377488976053313, -0.60104887736125978, -0.64689216655377857, -0.69106264898686465, -0.73331272456861973, -0.77339054291489417, -0.81104138006864557, -0.8460091508484886, -0.87803805587175265, -0.9068743608505454, -0.93226830418043516, -0.95397612713425417, -0.97176221914417393, -0.9854013687119787, -0.99468110844139446, -0.99940414055107041, -0.99939082701909576, -0.99448172624942033, -0.98454015586016352, -0.96945475889963473, -0.94914204852736517, -0.92354890398720091, -0.89265498858333392, -0.85647505838693705, -0.81506112859245528, -0.7685044628528731, -0.71693734959881206, -0.66053462833527321, -0.59951492826162256, -0.53414158132492895, -0.46472317204376912, -0.39161368717798556, -0.3152122296164856, -0.23596226275400647, -0.15435035416899404, -0.070904390633105427, 0.013808759593039822, 0.09918615657250443, 0.18459228461860086, 0.2693631422116452, 0.35281092692297711, 0.43422930879702298, 0.51289927740590668, 0.5880955389371294, 0.65909343027171097, 0.72517630714337644, 0.78564335324217838, 0.83981774665942033, 0.88705510950404776, 0.92675215601078931, 0.9583554441811033, 0.98137012613941343, 0.99536858315359633, 0.99999882287700514, 0.99499250904629088, 0.98017248784854372, 0.95545967068985072, 0.92087913039150604, 0.87656526714078131, 0.82276590205092281, 0.7598451601445787, 0.68828501114912999, 0.60868534583648182, 0.52176247787447139, 0.42834597636238814, 0.32937375243207906, 0.22588534448833064, 0.11901337075840943, 0.0099731446764950698, -0.099949521968675376, -0.20941227153109016, -0.31703181849493733, -0.42140110777252832, 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0.4290390833651167, -0.40568509645037554, 0.3827720280763382, -0.36033676125198227, 0.33841307983513402, -0.31703181849472845, 0.29622101515464083, -0.2760060647928777, 0.25640987367073959, -0.23745301300816751, 0.2191538713382635, -0.20152880479604404, 0.18459228461925636, -0.16835704134700888, 0.15283420512977428, -0.13803344170061341, 0.12396308361540023, -0.110630256377754, 0.098040999160336914, -0.086200379880266867, 0.075112604335562244, -0.064781119288953887, 0.055208709333225685, -0.046397587328288914, 0.038349478447046295, -0.03106569760236999, 0.024547220292490568, -0.018794746789342908, 0.013808759594209193, -0.0095895741816169593, 0.0061373830151254354, -0.0034522927602768901, 0.0015343547837478589, -0.00038358883724551112, -4.1594761818964385e-13}; + static constexpr double chirp[4096] = {1, -0.40749924317464814, -0.28044903339740768, 0.22336110264386744, 0.41288205493932639, 0.21224221148263678, -0.12144336709155601, -0.32445710060125377, -0.29835553173439044, 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2.2435445865049344, -2.2450681915567468, 2.2305464196829625, -2.2005161456674895, 2.1556124261697427, -2.0965573978470955, 2.0241490929356818, -1.939250295765842, 1.8427775525677474, -1.7356904357071437, 1.618981151819747, -1.4936645719068546, 1.3607687500385057, -1.221325986145728, 1.0763644778178165, -0.92690059561461668, 0.77393180693191677, -0.61843026429155623, 0.46133706563436216, -0.30355718656874586, 0.14595507756803772, 0.010649087011747063, -0.16548252671796371, 0.31782236282389931, -0.46699754351518752, 0.61239021703257457, -0.75343658606131436, 0.88962727865946289, -1.0205072725124653, 1.1456754103064746, -1.2647835444073747, 1.3775353490293401, -1.4836848377778322, 1.5830346237034694, -1.675433957893226, 1.7607765814678635, -1.8389984242125568, 1.9100751814606065, -1.974019798997368, 2.0308798937513464, -2.0807351361268358, 2.1236946176466711, -2.1598942255717066, 2.189494044079757, -2.2126757994274397, 2.22964036466028, -2.2406053373606194, 2.2458027020545348, -2.245476587189791, 2.2398811247628156, -2.2292784191578043, 2.2139366302423205, -2.1941281743242045, 2.1701280453557921, -2.1422122575689837, 2.1106564096205136, -2.0757343694869768, 2.0377170783422427, -1.9968714710478324, 1.9534595101376477, -1.9077373296734705, 1.859954484857661, -1.8103533028801937, 1.7591683302489796, -1.7066258714873699, 1.6529436140518459, -1.5983303340597304, 1.5429856774992048, -1.4871000115020583, 1.4308543402811942, -1.3744202804661736, 1.31796009064134, -1.2616267500238845, 1.2055640813553663, -1.1499069133263267, 1.094781277970662, -1.0403046387251986, 0.98658614503742137, -0.93372690963847549, 0.88182030483166773, -0.83095227437869368, 0.78120165777133044, -0.73264052391460543, 0.68533451147704672, -0.63934317339497992, 0.59472032317434831, -0.55151438086882032, 0.50976871685133918, -0.46952199158149621, 0.43080848983438769, -0.3936584479809152, 0.35809837303512404, -0.32415135244851556, 0.29183735357955476, -0.26117351203864381, 0.23217440819993118, -0.20485233118673463, 0.179217529848576, -0.15527845022090939, 0.13304195912513112, -0.11251355361412119, 0.093697555938223112, -0.07659729387360445, 0.061215266278905889, -0.047553293683370315, 0.035612653879563923, -0.025394202426403431, 0.016898477969539274, -0.010125792461202928, 0.0050763061424328555, -0.0017500873058351129, 0.00014715690849080026}; +}; + +struct case_mz_hp_zeta_8_100Hz_1000Hz_z50 +{ + static constexpr int order = 8; + static constexpr double cutoff_hz = 100.0; + static constexpr double sample_rate_hz = 1000.0; + + static constexpr double b[9] = {0.27226872353081205, -2.1781497882464964, 7.6235242588627372, -15.247048517725474, 19.058810647156843, -15.247048517725474, 7.6235242588627372, -2.1781497882464964, 0.27226872353081205}; + static constexpr double a[9] = {1, -4.999302063149103, 11.50633528384199, -15.810433221032959, 14.147809982871049, -8.4346778384122327, 3.2748128306055073, -0.75907303810175608, 0.081002592157943087}; + static constexpr double step[256] = {0.27226872353081205, -0.5447274734371228, -0.13842920791035601, 0.35104867096269426, 0.4128330406487834, 0.12152417624944784, -0.21430641037338477, -0.35850319678606196, -0.26694811972268623, -0.045532982037080283, 0.15858800133041923, 0.24757688231480118, 0.20653959719966813, 0.085279688390122954, -0.044171719060367265, -0.12611736983302962, -0.14007252266262188, -0.098615772287825421, -0.032314718099629547, 0.027707454367060735, 0.061801264351476426, 0.065546185055105732, 0.046593211967145887, 0.018116640724756772, -0.0075677542219104166, -0.022969806906432411, -0.026392918142749411, -0.020593591265557543, -0.01039100862449055, -0.00040396765110456423, 0.0063690040781371748, 0.008950714174112695, 0.0079953451743090542, 0.0050150066200162491, 0.0016087461782627321, -0.0010608561349121914, -0.0024673582918577908, -0.0026513808907100977, -0.0020025863075959216, -0.0010150012404060438, -0.00010084227827183989, 0.00050193981563090295, 0.00073528809583817134, 0.00067075681242351193, 0.00043958541817107344, 0.00017156812123947374, -4.2361984516958717e-05, -0.00016177437617331814, -0.00018906822223324626, -0.00015221613482047092, -8.6730712126004139e-05, -2.2459291247722835e-05, 2.2808120847261915e-05, 4.3721596325541068e-05, 4.3999935783467503e-05, 3.1770969562028295e-05, 1.5488894209381154e-05, 1.3835251044258534e-06, -7.4312652794117362e-06, -1.0596427322762114e-05, -9.5012052730436558e-06, -6.1812670067440401e-06, -2.4772083072055473e-06, 4.1004359480067976e-07, 2.0003669224943899e-06, 2.3767623175685593e-06, 1.9314621157451306e-06, 1.1278550293147838e-06, 3.3983637209855644e-07, -2.1731114713263722e-07, -4.8244716938095067e-07, -5.0214361385636508e-07, -3.7287432547161714e-07, -1.9300743697714395e-07, -3.4201789012033856e-08, 6.771934896177001e-08, 1.0793255350582953e-07, 1.010150118552211e-07, 6.8702930400288409e-08, 3.0752300650416231e-08, 1.9532259143417718e-10, -1.7507333416322268e-08, -2.2816167677408572e-08, -1.9484162117056059e-08, -1.210718353350515e-08, -4.4717157199336555e-09, 1.1693803148027371e-09, 4.0810172463601191e-09, 4.6082077598263993e-09, 3.6194569008607402e-09, 2.0391996424784509e-09, 5.6360510702901934e-10, -4.3803033422662452e-10, -8.8758805860678081e-10, -8.9556456694950271e-10, -6.4919764009019332e-10, -3.2686459094932729e-10, -5.1675386192329142e-11, 1.1943951383486251e-10, 1.8329576745301779e-10, 1.6821782855558354e-10, 1.1249395859280753e-10, 4.9307391503106146e-11, -3.9418468489316183e-13, -2.8502367133143025e-11, -3.6474656628371349e-11, -3.0785651805587122e-11, -1.8938239865207152e-11, -6.9154126869364063e-12, 1.838473817628028e-12, 6.2875815665108803e-12, 7.0538574981071633e-12, 5.5228599471490725e-12, 3.1205593664651587e-12, 8.9322993446216969e-13, -6.2111427112654383e-13, -1.3216649996650176e-12, -1.3805068199701509e-12, -1.0716427745194324e-12, -6.4487304385352218e-13, -2.6362245719724342e-13, 1.9428902930940239e-15, 1.4738210651898953e-13, 1.9934054407144686e-13, 1.9090284908429567e-13, 1.5137890940764009e-13, 1.0208500711428314e-13, 5.4567461660326444e-14, 1.0824674490095276e-14, -3.2029934260435766e-14, -7.4884543010966809e-14, -1.1418643808269735e-13, -1.4283019211802639e-13, -1.5548673459875317e-13, -1.521560655248777e-13, -1.3905543383430086e-13, -1.2417844530432376e-13, -1.1196599203344704e-13, -1.0241807402167069e-13, -9.0205620750793969e-14, -6.8223204863215869e-14, -3.2918112680135891e-14, 1.3045120539345589e-14, 5.9896532178527195e-14, 9.2537089102506798e-14, 9.4757535151757111e-14, 5.5233595475101538e-14, -2.581268532253489e-14, -1.343924971308752e-13, -2.4563684419831588e-13, -3.3001379406982778e-13, -3.6021186033963204e-13, -3.202438314531264e-13, -2.1277424266941125e-13, -6.2894134345015118e-14, 8.6985973979381015e-14, 1.9223511671384585e-13, 2.2287727219350018e-13, 1.7447154831984335e-13, 6.8334227165678385e-14, -5.6232796197264179e-14, -1.5593082380860324e-13, -2.0056178939853453e-13, -1.8390844402915718e-13, -1.237343560944737e-13, -5.1125770283988459e-14, 4.6074255521943996e-15, 2.6589841439772499e-14, 1.2156942119645464e-14, -2.9809488211185453e-14, -8.4210416417818124e-14, -1.3505863094565029e-13, -1.6991963391888021e-13, -1.8346435481930712e-13, -1.7746915048633127e-13, -1.563749130184533e-13, -1.237343560944737e-13, -8.3988371812893092e-14, -4.4242387531312488e-14, -1.3378187446733136e-14, -2.7755575615628914e-16, -1.1157741397482823e-14, -4.5130565951012613e-14, -8.9761531540943906e-14, -1.2284617767477357e-13, -1.230682222796986e-13, -8.3322237998117998e-14, -1.5154544286133387e-14, 5.8342219944051976e-14, 1.1229905894083458e-13, 1.2784218128558678e-13, 9.808820422563258e-14, 3.1918911957973251e-14, -4.7351012000262926e-14, -1.1063372440389685e-13, -1.3661294318012551e-13, -1.2084777623044829e-13, -7.6660899850367059e-14, -2.8033131371785203e-14, 1.0547118733938987e-15, -4.496403249731884e-15, -4.5574655160862676e-14, -1.1063372440389685e-13, -1.8013368574543165e-13, -2.3364643553236419e-13, -2.5696111904949248e-13, -2.4630297801309098e-13, -2.0722312754628547e-13, -1.5060175329040248e-13, -8.7763130096618625e-14, -2.581268532253489e-14, 3.347322419244847e-14, 8.9206420028631328e-14, 1.3494760864318778e-13, 1.5759615834554097e-13, 1.4471757125988916e-13, 9.4535490546832079e-14, 2.0372592501871623e-14, -5.3568260938163803e-14, -1.0264011862659572e-13, -1.1352030426792226e-13, -8.9761531540943906e-14, -4.8239190419963052e-14, -1.1157741397482823e-14, 1.9428902930940239e-15, -1.6042722705833512e-14, -5.4456439357863928e-14, -8.9317442331093844e-14, -9.5756735873919752e-14, -6.2228000530240024e-14, 4.163336342344337e-15, 8.2989171090730451e-14, 1.5004664177808991e-13, 1.8601786777594498e-13, 1.8202106488729441e-13, 1.4072076837123859e-13, 7.4551476103579262e-14, 6.106226635438361e-16, -6.6224803418890588e-14, -1.1618483952702263e-13, -1.457167719820518e-13, -1.557087792036782e-13, -1.4971357487070236e-13, -1.3483658634072526e-13, -1.1995959781074816e-13, -1.1218803663837207e-13, -1.1329825966299722e-13, -1.1973755320582313e-13, -1.2617684674864904e-13, -1.2551071293387395e-13, -1.1152190282359697e-13, -8.1545881158717748e-14, -3.7359004778636518e-14, 1.5709655798445965e-14, 6.9666494795228573e-14, 1.1207701433590955e-13}; + static constexpr double impulse[256] = {0.27226872353081205, -0.81699619696793491, 0.4062982655267664, 0.48947787887304939, 0.061784369686087359, -0.29130886439933912, -0.33583058662283971, -0.14419678641268874, 0.091555077063360302, 0.22141513768558663, 0.20412098336747642, 0.088988880984358865, -0.041037285115149036, -0.12125990880954829, -0.12945140745048139, -0.081945650772649148, -0.013955152829584483, 0.041456750374790838, 0.066301054188175584, 0.060022172466659918, 0.034093809984381496, 0.0037449207035939458, -0.018952973087998138, -0.028476571242434981, -0.025684394946722172, -0.015402052684580475, -0.0034231112363665439, 0.0057993268771652125, 0.010202582641071819, 0.0099870409734215959, 0.0067729717292974168, 0.0025817100960353959, -0.00095536899975520208, -0.0029803385542663393, -0.0034062604417529029, -0.0026696023131977317, -0.0014065021569833851, -0.00018402259889454837, 0.00064879458307607598, 0.00098758506716130215, 0.00091415896211916037, 0.00060278209390533105, 0.00023334828023014679, -6.4531283372733965e-05, -0.00023117139419825928, -0.00026801729687745866, -0.00021393010571773619, -0.0001194123916441539, -2.7293846074348885e-05, 3.6852087381500424e-05, 6.5485422660420417e-05, 6.4271420853577162e-05, 4.5267412085133905e-05, 2.0913475481392386e-05, 2.7833946536932061e-07, -1.2228966221196845e-05, -1.6282075367592746e-05, -1.4105369133756427e-05, -8.8147904160773034e-06, -3.1651620639325806e-06, 1.095222054648346e-06, 3.319938302965939e-06, 3.7040587634416636e-06, 2.8872519795993646e-06, 1.5903234006194809e-06, 3.7639544475513358e-07, -4.4530018747752492e-07, -8.036071103372237e-07, -7.8801871394100228e-07, -5.5714759696780671e-07, -2.6513610484738013e-07, -1.9696512344959936e-08, 1.2926925411695401e-07, 1.7986689799995146e-07, 1.5880569745611495e-07, 1.0192121092444064e-07, 4.0213277004887211e-08, -6.9174919117664238e-09, -3.2312065604555601e-08, -3.7950644092497426e-08, -3.0557007036723907e-08, -1.7702682133743267e-08, -5.3088480133752087e-09, 3.332003054947683e-09, 7.3769795186122013e-09, 7.6354637427598899e-09, 5.6410830303572247e-09, 2.9116164091380429e-09, 5.2716633346536227e-10, -9.8877544611743482e-10, -1.5802799493926929e-09, -1.4756138366952494e-09, -1.0016501238101728e-09, -4.4956636490174208e-10, -7.9757250619137341e-12, 2.4638156818197178e-10, 3.2236298551029214e-10, 2.7522934036810038e-10, 1.7115370449537189e-10, 6.3882814961023475e-11, -1.5066868779282675e-11, -5.5722817621684993e-11, -6.3185825881860486e-11, -4.9693968928970798e-11, -2.8095003732953189e-11, -7.96396107446644e-12, 5.6791556908186835e-12, 1.1812655781903082e-11, 1.1969766298685386e-11, 8.6997966757539229e-12, 4.409653427779912e-12, 7.4790438225885902e-13, -1.5300616448687565e-12, -2.386536863477128e-12, -2.1999827240961534e-12, -1.4773600028028842e-12, -6.5544847348556915e-13, -8.4762358024151843e-15, 3.58187119235681e-13, 4.6400556985490673e-13, 3.9328955960280029e-13, 2.4313223037254824e-13, 9.0492609767526224e-14, -2.0657616863238457e-14, -7.7271374180164446e-14, -8.7354586157406095e-14, -6.8487371542196261e-14, -3.8678454719161024e-14, -1.1108806499273263e-14, 7.458901581026074e-15, 1.5764867325600535e-14, 1.598880414025007e-14, 1.1624449927933011e-14, 5.9183816420173345e-15, 1.065108421400912e-15, -1.9473282441614578e-15, -3.0839923669958443e-15, -2.8528664059555086e-15, -1.9225257241834517e-15, -8.6314863033314551e-16, -2.9474709622406998e-17, 4.439160824357128e-16, 5.8323914444002664e-16, 4.9707782718795757e-16, 3.094139196019977e-16, 1.1792532823226504e-16, -2.1866747523680512e-17, -9.3565350610731339e-17, -1.0718957860867581e-16, -8.4654033680582477e-17, -4.8330020896552878e-17, -1.4546728891271634e-17, 8.3253006017177439e-18, 1.8699578957684609e-17, 1.920964379314767e-17, 1.4094428450011398e-17, 7.2922163914351172e-18, 1.465696880244699e-18, -2.1806454807842642e-18, -3.5913307607068396e-18, -3.3645478483337739e-18, -2.2929966900683817e-18, -1.0541978530614395e-18, -7.1044116143982545e-20, 4.9386592381903886e-19, 6.680635017730955e-19, 5.7674867622494917e-19, 3.6401632545503276e-19, 1.4386761517727298e-19, -1.8463618412943724e-20, -1.0312206167107023e-19, -1.2097281723145468e-19, -9.6831086047563781e-20, -5.6247610957172997e-20, -1.7986515229307564e-20, 8.2261475388594161e-21, 2.0402405580538303e-20, 2.1393633309377699e-20, 1.5924227769332749e-20, 8.4237874188297784e-21, 1.9117066469732118e-21, -2.2220943532563222e-21, -3.8793323310427362e-21, -3.7028620033701117e-21, -2.5638138074337667e-21, -1.2140492588736092e-21, -1.2785871318643395e-22, 5.0723553209704538e-22, 7.1476881739880983e-22, 6.2809502066132774e-22, 4.0359059298395069e-22, 1.6628863774746665e-22, -1.127541936344148e-23, -1.0593862143487335e-22, -1.2827727029820179e-22, -1.0448349560466957e-22, -6.1976978967722189e-23, -2.1130518216525992e-23, 7.3032547172721369e-24, 2.0898788886199961e-23, 2.2499148277666639e-23, 1.7047270686525275e-23, 9.2496370992940534e-24, 2.3567781295643524e-24, -2.0976712655081687e-24, -3.9567724886145115e-24, -3.865155409725715e-24, -2.7267400813930193e-24, -1.3333877494366133e-24, -1.922502719208107e-25, 4.8893335711738025e-25, 7.2554200111089349e-25, 6.5125279960518472e-25, 4.270893185868248e-25, 1.8373150320880378e-25, -1.6317471773488073e-27, -1.0294391136704289e-25, -1.2957394052467632e-25, -1.0770484549582905e-25, -6.5373923378372833e-26, -2.3735887156222936e-26, 5.7938607952753258e-27, 2.0362228335107093e-26, 2.2618969938916836e-26, 1.7486573382047412e-26, 9.7472026835203212e-27, 2.7583367166176734e-27, -1.8502000152413253e-27, -3.8554064186381325e-27, -3.8685717310976506e-27, -2.7861307110425747e-27, -1.4081847300620366e-27, -2.565208719192138e-28, 4.4668254579822673e-28, 7.0606217173730317e-28, 6.4923211260009081e-28, 4.3521395654924129e-28, 1.9541084499682872e-28, 9.0576166302254802e-30, -9.5518549992087921e-29, -1.2585451593132182e-28, -1.0700076425251962e-28, -6.6534978473357157e-29, -2.5644078592722445e-29, 3.9560637051762265e-30, 1.9036254704898737e-29, 2.1922194839398908e-29, 1.732362448267206e-29, 9.9269104679422494e-30, 3.0843870538584402e-30, -1.5265319964802785e-30, -3.6175205351060351e-30, -3.7412735282607547e-30, -2.7545813753295374e-30, -1.4389399563109177e-30, -3.1432506120614775e-31}; + static constexpr double chirp_in[4096] = {1, 0.99999992642979929, 0.99999882287700514, 0.99999404081958787, 0.9999811660875062, 0.99995401897637071, 0.99990465453387189, 0.99982336314626385, 0.99969867158853654, 0.99951734473821929, 0.99926438818900221, 0.998923052036508, 0.99847483614453059, 0.99789949723582638, 0.99717505818699503, 0.99627781994202647, 0.99518237649358454, 0.9938616334148932, 0.99228683045801158, 0.99042756876612315, 0.98825184327798898, 0.98572608093165093, 0.98281518530153245, 0.97948258832792745, 0.9756903098201305, 0.97139902543374301, 0.96656814383854717, 0.96115589380530031, 0.95511942194735522, 0.94841490185561306, 0.94099765536237645, 0.93282228666059408, 0.92384282998911005, 0.91401291157120323, 0.90328592646221384, 0.89161523092170281, 0.87895435087564089, 0.86525720697385833, 0.85047835667664762, 0.83457325372130264, 0.81749852522376165, 0.79921226656174948, 0.77967435406322239, 0.75884677538693723, 0.73669397733007314, 0.7131832306305963, 0.68828501114913054, 0.66197339661628929, 0.6342264779166199, 0.60502678364962148, 0.57436171646195799, 0.54222399938345511, 0.50861213012343165, 0.4735308409942906, 0.43699156182725674, 0.39901288293222104, 0.35962101483159181, 0.31885024116901001, 0.27674336086026408, 0.2333521152185779, 0.18873759545291671, 0.14297062560971868, 0.096132115709591626, 0.048313379525507044, -0.00038358883718521143, -0.049845885660697295, -0.099949521968676278, -0.15055930804420456, -0.20152880479580074, -0.25270034875965974, -0.30390515757424702, -0.35496352274746379, -0.4056850964493664, -0.45586927889726703, -0.50530571264738766, -0.55377488976053313, -0.60104887736125978, -0.64689216655377857, -0.69106264898686465, -0.73331272456861973, -0.77339054291489417, -0.81104138006864557, -0.8460091508484886, -0.87803805587175265, -0.9068743608505454, -0.93226830418043516, -0.95397612713425417, -0.97176221914417393, -0.9854013687119787, -0.99468110844139446, -0.99940414055107041, -0.99939082701909576, -0.99448172624942033, -0.98454015586016352, -0.96945475889963473, -0.94914204852736517, -0.92354890398720091, -0.89265498858333392, -0.85647505838693705, -0.81506112859245528, -0.7685044628528731, -0.71693734959881206, -0.66053462833527321, -0.59951492826162256, -0.53414158132492895, -0.46472317204376912, -0.39161368717798556, -0.3152122296164856, -0.23596226275400647, -0.15435035416899404, -0.070904390633105427, 0.013808759593039822, 0.09918615657250443, 0.18459228461860086, 0.2693631422116452, 0.35281092692297711, 0.43422930879702298, 0.51289927740590668, 0.5880955389371294, 0.65909343027171097, 0.72517630714337644, 0.78564335324217838, 0.83981774665942033, 0.88705510950404776, 0.92675215601078931, 0.9583554441811033, 0.98137012613941343, 0.99536858315359633, 0.99999882287700514, 0.99499250904629088, 0.98017248784854372, 0.95545967068985072, 0.92087913039150604, 0.87656526714078131, 0.82276590205092281, 0.7598451601445787, 0.68828501114912999, 0.60868534583648182, 0.52176247787447139, 0.42834597636238814, 0.32937375243207906, 0.22588534448833064, 0.11901337075840943, 0.0099731446764950698, -0.099949521968675376, -0.20941227153109016, -0.31703181849493733, -0.42140110777252832, -0.52110785216033795, -0.61475425146856222, -0.70097765980614957, -0.77847193249159985, -0.84600915084848771, -0.90246139255836488, -0.94682218813969621, -0.97822728137500836, -0.99597429399523896, -0.99954088350734849, -0.98860097853545059, -0.9630386791909602, -0.92295942146047771, -0.86869802495628545, -0.80082327303127221, -0.72013871347380276, -0.6276794168385581, -0.52470448779900736, -0.41268519236054085, -0.29328863974147795, -0.16835704134703858, -0.039882659401103367, 0.09002134692995295, 0.21915387133951877, 0.34526219919889106, 0.46608122869670787, 0.57937497068616284, 0.68297963205683976, 0.7748475038260193, 0.85309080213204103, 0.91602455057213206, 0.96220754845479073, 0.99048044398756308, 0.99999992642979929, 0.99026806874157036, 0.96115589380530075, 0.91292030397297208, 0.84621360604462514, 0.7620849817471087, 0.66197339661628984, 0.54769160642970061, 0.42140110777252909, 0.2855780849582823, 0.14297062560971963, -0.0034522927617008812, -0.15055930804420603, -0.29512169978712482, -0.43388373911755923, -0.56363695259073099, -0.68129669877065169, -0.78397929272312616, -0.8690777846452038, -0.9343344109714895, -0.97790769530701704, -0.99843218742645046, -0.9950688952752843, 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0.40077079795557791, 0.56838039236265869, 0.71559896074412133, 0.83668028795140859, 0.92675215601078997, 0.98202755565343003, 0.9999811660875062, 0.97948258832792812, 0.92087913039150737, 0.82602263024340583, 0.6982368180860713, 0.54222399938345556, 0.36391230372523414, 0.17024729818871898, -0.031065697601372073, -0.23185984575257096, -0.42383465395227493, -0.59890073081561812, -0.74952733250515868, -0.86907778464520447, -0.95211766591071434, -0.99468110844139468, -0.99448172624941999, -0.95105651629515231, -0.86583354565218051, -0.74211726695732327, -0.58498878606033655, -0.4011222042584015, -0.19852211184659407, 0.013808759593047724, 0.22625900242972455, 0.42903908336572988, 0.61263423194927435, 0.76825896913416514, 0.88829153315462384, 0.96666642869321839, 0.99920437022617881, 0.98386102377908657, 0.92087913039150748, 0.81283271986127859, 0.66455703958209811, 0.48296332366677897, 0.27674336086027079, 0.055974700631925785, -0.16835704134703514, -0.38489726725106244, -0.58249718413303753, -0.75079558121367618, -0.8807772378003631, -0.96527750388896616, -0.99940414055107052, -0.98085070531978158, -0.91008053699473446, -0.79036655916348153, -0.62767941683856299, -0.43042453941683434, -0.20903717243428122, 0.024547220293044292, 0.25752199792776376, 0.47690591218475858, 0.6702700665282546, 0.82645479681547807, 0.93623487063973665, 0.99289265158964735, 0.99266256453924517, 0.93501624268541406, 0.82276590205092304, 0.66197339661628929, 0.46166354924637809, 0.23335211521857976, -0.0095895741826257964, -0.2527003487596628, -0.48128300660049478, -0.68129669877065224, -0.84023397604037153, -0.9479273461671317, -0.99723238944639814, -0.98454015586016264, -0.91008053699473168, -0.77799016180242753, -0.59613248546922271, -0.37567331729755787, -0.13043111482230935, 0.12396308361602595, 0.37104727229943907, 0.59459149924435239, 0.77967435406322239, 0.91370141006883898, 0.98729522857459673, 0.99499250904629022, 0.93569463493371918, 0.81283271986127059, 0.63422647791661613, 0.41163671634210847, 0.16003264759379121, -0.1033839317883601, -0.36033676125160785, -0.59273942915648381, -0.78397929272312317, -0.9201297299918394, -0.99100117924590703, -0.99094976176793526, -0.91937694488673249, -0.78087390759575936, -0.58498878606034577, -0.34562217432566072, -0.080084217820004439, 0.19212671735369832, 0.45074058099674741, 0.67622628148098096, 0.8512844415843499, 0.9622075484547904, 0.99999882287700514, 0.96115589380530075, 0.84804809615642662, 0.66884549507132596, 0.43699156182726329, 0.17024729818871992, -0.110630256376269, -0.3834806669755868, -0.62648422584859709, -0.81992136714207986, -0.94780510850409849, -0.99924960424107578, -0.96945475889963539, -0.86021435641350186, -0.67989149721536402, -0.44284765362705225, -0.16835704134703849, 0.12091746343008787, 0.40077079795558007, 0.64747701163478444, 0.83981774665941822, 0.96094386528026088, 0.99990465453387189, 0.95270229095965364, 0.82276590205091937, 0.62078697520272341, 0.36391230372523531, 0.074347571843515148, -0.22252093395631911, -0.50033216089251542, -0.73409463523198404, -0.90246139255836555, -0.98972693214480445, -0.98735610690369835, -0.89489156836093631, -0.72013871347379788, -0.47859081942819004, -0.19212671735370601, 0.11291736677555103, 0.40813786714038369, 0.66570278481121115, 0.8609957613666358, 0.97501319700248934, 0.99627781994202547, 0.92207112396763291, 0.75884677538694123, 0.5217624778744816, 0.23335211521858765, -0.07855469695947305, -0.38348066697558636, -0.65126920047307302, -0.85508594369616242, -0.97415389500088145, -0.99593983608294245, -0.91755646763273546, -0.74621699410735365, -0.49867062121686356, -0.19964984230321028, 0.12053668025531283, 0.42903908336570928, 0.69383011851338472, 0.88705510950404576, 0.98801617809016951, 0.98546660117894946, 0.878954350875643, 0.67904717547725413, 0.40638618731229703, 0.089639308903445084, -0.23745301300756336, -0.53964301532054448, -0.78397929272311817, -0.94343906000553723, 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0.18459228461925636, -0.16835704134700888, 0.15283420512977428, -0.13803344170061341, 0.12396308361540023, -0.110630256377754, 0.098040999160336914, -0.086200379880266867, 0.075112604335562244, -0.064781119288953887, 0.055208709333225685, -0.046397587328288914, 0.038349478447046295, -0.03106569760236999, 0.024547220292490568, -0.018794746789342908, 0.013808759594209193, -0.0095895741816169593, 0.0061373830151254354, -0.0034522927602768901, 0.0015343547837478589, -0.00038358883724551112, -4.1594761818964385e-13}; + static constexpr double chirp[4096] = {0.27226872353081205, -0.54472749346798754, -0.13842946829755776, 0.35104798027781292, 0.41283226711718191, 0.12152404236389375, -0.21430542400942404, -0.35850129395793828, -0.26694611753517267, -0.045531836692992378, 0.15858771976907621, 0.24757525749525849, 0.20653727641671521, 0.085277542074021218, -0.044172982744423217, -0.12611745606904251, -0.14007158914308743, -0.098614287370140885, -0.032313234898773913, 0.027708502769499932, 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-0.026168854822853128, 0.019781110331468208, -0.014283729049581083, 0.0096770222805705741, -0.0059611739331852679, 0.0031362811911599068, -0.0012023872749736288, 0.0001595064239887591}; +}; + +struct case_tu_hp_zeta_8_100Hz_1000Hz_z50 +{ + static constexpr int order = 8; + static constexpr double cutoff_hz = 100.0; + static constexpr double sample_rate_hz = 1000.0; + + static constexpr double b[9] = {0.25096274041025335, -2.0077019232820303, 7.0269567314871182, -14.053913462974254, 17.567391828717842, -14.053913462974291, 7.0269567314871537, -2.0077019232820463, 0.25096274041025612}; + static constexpr double a[9] = {1, -5.1034466162912846, 11.988076114807068, -16.80910333704362, 15.346713459880746, -9.3338360245486598, 3.6964150643578564, -0.87379677191372918, 0.095074156182046815}; + static constexpr double step[256] = {0.25096274041025335, -0.47596423450988146, -0.16740094748846979, 0.28633639515104281, 0.39982845270010603, 0.17073508228640832, -0.15321950642735704, -0.33710150017845886, -0.2980771985476719, -0.10323498857392333, 0.11335646876088512, 0.23999942620069203, 0.2362032244547515, 0.13180570938590519, -0.006185316482620995, -0.11326051951872251, -0.15404061509886946, -0.12870623836444872, -0.062997120336666268, 0.0089643959804793782, 0.059967271169152014, 0.077798582719206366, 0.065327428900768036, 0.035076599413108478, 0.0020031439923223759, -0.022356554418267671, -0.032746724957435469, -0.030021970920977137, -0.018979857305891801, -0.0055748562125753631, 0.0053551905509882092, 0.011267938258882393, 0.011976788286239048, 0.0089440080839547909, 0.0042888845677452325, -7.8875564496150297e-05, -0.0029703101731543002, -0.0040343042723852696, -0.0035791900178087088, -0.0022554601672996055, -0.00074470324858044723, 0.0004528498868855424, 0.0011024764702965983, 0.001210679892785671, 0.00093813049672164528, 0.00049811198637350618, 7.579462293072492e-05, -0.00021528540914850236, -0.00034015560357103514, -0.00032398347714235332, -0.00022292709864923932, -9.6688205897810242e-05, 9.8723493439090149e-06, 7.4064654185801437e-05, 9.3616636010263043e-05, 7.9719955199508696e-05, 4.8819003627742497e-05, 1.5975078855423597e-05, -8.8808920147842585e-06, -2.1821649455078251e-05, -2.3759425854197325e-05, -1.834934489985951e-05, -9.9129692953114912e-06, -1.965740940135241e-06, 3.4637544449322988e-06, 5.8329279041258175e-06, 5.6650206176067641e-06, 3.9903462435431081e-06, 1.8607160742201145e-06, 4.6072809456454422e-08, -1.0716540143063114e-06, -1.4542254712646141e-06, -1.283475964508618e-06, -8.2423591474256597e-07, -3.176838380136715e-07, 7.6783694846760397e-08, 2.9387892597210197e-07, 3.4351716993175074e-07, 2.7831259596933222e-07, 1.6197867258593845e-07, 4.7145316650620828e-08, -3.491771549679612e-08, -7.4518443304860682e-08, -7.7642035134495302e-08, -5.8022964322113069e-08, -3.0219221236471583e-08, -5.2270480166427546e-09, 1.1153303502986489e-08, 1.7846119138020811e-08, 1.6899956434279773e-08, 1.165955298976229e-08, 5.3124974419560544e-09, 6.5747518540604233e-11, -3.0720420651775271e-09, -4.0862530026331001e-09, -3.5577235601991219e-09, -2.2597658189127401e-09, -8.650208327409814e-10, 2.0062274064258645e-10, 7.7602557713163378e-10, 9.0176455191937066e-10, 7.2662598160633252e-10, 4.2211134587688548e-10, 1.2551570893748476e-10, -8.4226514651675188e-11, -1.8458845563174009e-10, -1.926120374307061e-10, -1.4396406289307606e-10, -7.5396910936831318e-11, -1.4101275702671501e-11, 2.5916491175337342e-11, 4.2307823910903153e-11, 4.0242809085100362e-11, 2.7883362285763269e-11, 1.2889134204385755e-11, 5.021538740379583e-13, -6.9108052613842119e-12, -9.3315355442769032e-12, -8.1320505884718841e-12, -5.1253445931820352e-12, -1.8848256289061283e-12, 5.9297011745229611e-13, 1.9274581930517343e-12, 2.2079005290720488e-12, 1.7793544415667384e-12, 1.046163156104285e-12, 3.3850700020821023e-13, -1.4932499681208355e-13, -3.6071146070071336e-13, -3.418376692820857e-13, -1.921796055626146e-13, -1.5432100042289676e-14, 1.155742168634788e-13, 1.695310558602614e-13, 1.4999113062685865e-13, 8.22675261247241e-14, 1.4432899320127035e-15, -5.9396931817445875e-14, -7.9380946260698693e-14, -5.4289905904170155e-14, 5.2180482157382357e-15, 7.9825035470548755e-14, 1.4888090760223349e-13, 1.9662049766111522e-13, 2.1549428907974288e-13, 2.0705659409259169e-13, 1.80855330711438e-13, 1.5021317523178368e-13, 1.2512213487525514e-13, 1.0913492332065289e-13, 1.0202949596305189e-13, 1.0313971898767704e-13, 1.1246559239452836e-13, 1.2889689315898067e-13, 1.4888090760223349e-13, 1.6731060981101109e-13, 1.7952306308188781e-13, 1.8329782136561334e-13, 1.8041124150158794e-13, 1.773026170326375e-13, 1.8174350913113813e-13, 1.9551027463649007e-13, 2.1083135237631723e-13, 2.1438406605511773e-13, 1.9595436384634013e-13, 1.553202011450594e-13, 1.0513812043200232e-13, 6.6502359175046877e-14, 6.0285110237146e-14, 9.7144514654701197e-14, 1.7152945730458669e-13, 2.6234570071892449e-13, 3.4050540165253551e-13, 3.8047343053904115e-13, 3.6870506647801449e-13, 3.0586644328423063e-13, 2.0372592501871623e-13, 8.2933659939499194e-14, -2.8976820942716586e-14, -1.0358380819752711e-13, -1.2023715356690445e-13, -7.2941652717872785e-14, 2.7422508708241367e-14, 1.5576429035490946e-13, 2.7877700148337681e-13, 3.6293190674996367e-13, 3.8313796579814152e-13, 3.2984726061613401e-13, 2.141620214501927e-13, 6.6946448384896939e-14, -7.049916206369744e-14, -1.5998313784848506e-13, -1.7974510768681284e-13, -1.3045120539345589e-13, -3.2529534621517087e-14, 8.2489570729649131e-14, 1.8285373215576328e-13, 2.4569235534954714e-13, 2.616795669041494e-13, 2.3481216970822061e-13, 1.7952306308188781e-13, 1.1668443988810395e-13, 6.7834626804597065e-14, 4.7628567756419216e-14, 5.9174887212520844e-14, 9.5812247025151009e-14, 1.4599432773820809e-13, 1.9795276529066541e-13, 2.4280577548552174e-13, 2.7366997557010109e-13, 2.8455016121142762e-13, 2.7167157412577581e-13, 2.3525625891807067e-13, 1.8263168755083825e-13, 1.2911893776390571e-13, 9.4035890185750759e-14, 9.248157795127554e-14, 1.2734258092450546e-13, 1.8707257964933888e-13, 2.4946711363327267e-13, 2.907674101493285e-13, 2.9543034685275416e-13, 2.6234570071892449e-13, 2.0461410343841635e-13, 1.4355183708403274e-13, 9.9142916099026479e-14, 8.22675261247241e-14, 9.0261131902025227e-14, 1.0980105713542798e-13, 1.2423395645555502e-13, 1.2134737659152961e-13, 9.8698826889176416e-14, 6.5614180755346752e-14, 3.8968828164342995e-14, 3.6304292905242619e-14, 6.6946448384896939e-14, 1.2578826869003024e-13, 1.9506618542664e-13, 2.5190960428744802e-13, 2.7833291227352674e-13, 2.6834090505190034e-13, 2.2903900998016979e-13, 1.7663648321786241e-13, 1.2867484855405564e-13, 9.6034291630076041e-14, 7.9602990865623724e-14, 7.4940054162198066e-14, 7.9380946260698693e-14, 9.4035890185750759e-14, 1.191269305422793e-13, 1.5132339825640884e-13, 1.850741782050136e-13, 2.1527224447481785e-13, 2.3792079417717105e-13, 2.4857893521357255e-13, 2.4169555246089658e-13}; + static constexpr double impulse[256] = {0.25096274041025335, -0.72692697492013481, 0.30856328702141145, 0.45373734263951171, 0.11349205754906366, -0.22909337041369005, -0.32395458871374361, -0.18388199375106185, 0.03902430163084436, 0.19484220997381632, 0.21659145733487073, 0.12664295743984066, -0.0037962017459548525, -0.10439751506891096, -0.13799102586862394, -0.1070752030362041, -0.040780095580226994, 0.025334376734379382, 0.065709118027781677, 0.071961516317175955, 0.051002875188719932, 0.017831311550104034, -0.0124711538183995, -0.03025082948764149, -0.033073455420793485, -0.024359698410619884, -0.010390170539209514, 0.0027247540364182116, 0.011042113615056607, 0.013405001093302157, 0.010930046763562809, 0.0059127477079049667, 0.00070885002737779146, -0.003032780202253628, -0.0046551235161717986, -0.004367760132199739, -0.0028914346086166311, -0.0010639940991938185, 0.00045511425460436229, 0.0013237298505225504, 0.0015107569187155952, 0.0011975531354453898, 0.00064962658337367699, 0.00010820342243509804, -0.00027254939613338691, -0.00044001851042641048, -0.00042231736351554163, -0.0002910800321264625, -0.0001248701944250529, 1.6172126478129897e-05, 0.00010105637858191227, 0.00012623889285096133, 0.00010656055532179073, 6.41923048841157e-05, 1.9551981828796246e-05, -1.3896680828443268e-05, -3.0900951589084473e-05, -3.2843924770648659e-05, -2.4855970842117912e-05, -1.2940757391878565e-05, -1.9377763479478072e-06, 5.4100809864301974e-06, 8.4363756009360737e-06, 7.9472283114858706e-06, 5.4294953087613164e-06, 2.369173366778067e-06, -1.6790737144182961e-07, -1.6746744255416239e-06, -2.1296301690568151e-06, -1.8146432139970674e-06, -1.1177267439078656e-06, -3.8257137967299392e-07, 1.7074955425496146e-07, 4.5924005568472652e-07, 5.0655204626841908e-07, 3.9446748356661346e-07, 2.1709518462960288e-07, 4.9638218351612331e-08, -6.5204570715722124e-08, -1.1633389451694418e-07, -1.1483331152974909e-07, -8.2062985419006139e-08, -3.9600692428274661e-08, -3.1235803878741814e-09, 1.9619050319539134e-08, 2.7803692134845101e-08, 2.4992105093059288e-08, 1.6380289841987418e-08, 6.6927846236312795e-09, -9.4615144449394518e-10, -5.2403577824749429e-09, -6.346997902217193e-09, -5.2467048289248045e-09, -3.1377721546533714e-09, -1.0142214063366662e-09, 5.2850066949775607e-10, 1.2979224460771559e-09, 1.3947123500962337e-09, 1.0656189342270706e-09, 5.7538940315771921e-10, 1.2574108236903232e-10, -1.751159748708017e-10, -3.0447248138557051e-10, -2.9654652630116948e-10, -2.0970823742654093e-10, -1.0036530843567855e-10, -8.0744018634145922e-12, 4.8559413251086871e-11, 6.8467822252822294e-11, 6.1220786364303833e-11, 3.9996700812879951e-11, 1.6435104149262714e-11, -1.9664493784010537e-12, -1.223169800530311e-11, -1.4870398580399309e-11, -1.2299416721331012e-11, -7.3841223853628771e-12, -2.4568417216808365e-12, 1.1110780130580139e-12, 2.8930208273276045e-12, 3.1347603147858967e-12, 2.4077729088490506e-12, 1.3155088174078209e-12, 3.1247361977879301e-13, -3.6025672253016819e-13, -6.5341422378467999e-13, -6.4355538831458135e-13, -4.5949923453477942e-13, -2.2480892874715757e-13, -2.5655720399871575e-14, 9.7548677873112566e-14, 1.423141578714909e-13, 1.2895747751489709e-13, 8.5447841757092361e-14, 3.6445582326055535e-14, -2.1654427297277959e-15, -2.4023245570687662e-14, -3.0075174733632066e-14, -2.5258537178634879e-14, -1.5460271568745615e-14, -5.4846201687800285e-15, 1.8276643216686848e-15, 5.5656090164030928e-15, 6.1921480108842277e-15, 4.8394417322155562e-15, 2.71372633251087e-15, 7.2926103847935006e-16, -6.2295322373276418e-16, -1.2337185953778554e-15, -1.2455086672701644e-15, -9.0709523140337818e-16, -4.5975874686992499e-16, -7.3440925165796965e-17, 1.704154691204931e-16, 2.6421390086017343e-16, 2.452038498842897e-16, 1.6623749491806927e-16, 7.4515559253570233e-17, 8.6405101739527884e-19, -4.1916900344548487e-17, -5.4999332830823492e-17, -4.7302719648423285e-17, -2.9744919442397187e-17, -1.136610313572603e-17, 2.3879563690593237e-18, 9.6583858830849729e-18, 1.117234002537065e-17, 8.946968437067932e-18, 5.1833142546847402e-18, 1.5772459468881525e-18, -9.3753826883375061e-19, -2.1259190085438685e-18, -2.220618769079849e-18, -1.6592615339072874e-18, -8.7596148384454323e-19, -1.8225596377298897e-19, 2.6740506744787711e-19, 4.5188441221388477e-19, 4.3263432169189337e-19, 3.0155981976881443e-19, 1.4256012485851419e-19, 1.1629658577718812e-20, -6.6833568972666718e-20, -9.3372072861548103e-20, -8.2713016855243582e-20, -5.3644841604592874e-20, -2.2071245556705694e-20, 2.1782332075954315e-21, 1.5492719964956987e-20, 1.8835172653720215e-20, 1.5527036065123686e-20, 9.3210438997259824e-21, 3.1751262621124324e-21, -1.2304316936254436e-21, -3.4150532508048956e-21, -3.7198099365889974e-21, -2.8622584509323879e-21, -1.5765222683732076e-21, -4.0230498963036392e-22, 3.8204993951552453e-22, 7.2530747963508446e-22, 7.206038141029964e-22, 5.179184423114641e-22, 2.5813063016361777e-22, 3.7772550239969536e-23, -9.883543078114926e-23, -1.4957988821965979e-22, -1.3709714393585477e-22, -9.1901612059486711e-23, -4.0539233117678196e-23, 8.9657039953364446e-26, 2.3298469008799312e-23, 3.0101043007765027e-23, 2.5633937721491924e-23, 1.596435889543655e-23, 6.0060108235622343e-24, -1.352070833199273e-24, -5.1809117002300294e-24, -5.9299377150290188e-24, -4.7114357159401485e-24, -2.7074082300473473e-24, -8.1126797318252783e-25, 4.966679224736903e-25, 1.1054918905913883e-24, 1.1460828822622848e-24, 8.5101929491537801e-25, 4.463186889538465e-25, 9.1449151706308471e-26, -1.3642041668284916e-25, -2.2853574819064148e-25, -2.1761695883158212e-25, -1.5095666681865616e-25, -7.1019275727398106e-26, -5.7143100291673566e-27, 3.3106590852350633e-26, 4.6043470345004183e-26, 4.0630195784523764e-26, 2.6260463870873456e-26, 1.0777671860083475e-26, -1.038337379777485e-27, -7.4823185256986319e-27, -9.0752368218203219e-27, -7.4618942663575357e-27, -4.470310874814695e-27, -1.5248240824929318e-27, 5.7607115842411803e-28, 1.612299924652696e-27, 1.7543940612351746e-27, 1.3479322923933249e-27, 7.4211586654793939e-28, 1.9114643263274279e-28, -1.7551595442695498e-28, -3.3540541116258774e-28, -3.332010661075533e-28, -2.3937721003122852e-28, -1.1949768519298356e-28}; + static constexpr double chirp_in[4096] = {1, 0.99999992642979929, 0.99999882287700514, 0.99999404081958787, 0.9999811660875062, 0.99995401897637071, 0.99990465453387189, 0.99982336314626385, 0.99969867158853654, 0.99951734473821929, 0.99926438818900221, 0.998923052036508, 0.99847483614453059, 0.99789949723582638, 0.99717505818699503, 0.99627781994202647, 0.99518237649358454, 0.9938616334148932, 0.99228683045801158, 0.99042756876612315, 0.98825184327798898, 0.98572608093165093, 0.98281518530153245, 0.97948258832792745, 0.9756903098201305, 0.97139902543374301, 0.96656814383854717, 0.96115589380530031, 0.95511942194735522, 0.94841490185561306, 0.94099765536237645, 0.93282228666059408, 0.92384282998911005, 0.91401291157120323, 0.90328592646221384, 0.89161523092170281, 0.87895435087564089, 0.86525720697385833, 0.85047835667664762, 0.83457325372130264, 0.81749852522376165, 0.79921226656174948, 0.77967435406322239, 0.75884677538693723, 0.73669397733007314, 0.7131832306305963, 0.68828501114913054, 0.66197339661628929, 0.6342264779166199, 0.60502678364962148, 0.57436171646195799, 0.54222399938345511, 0.50861213012343165, 0.4735308409942906, 0.43699156182725674, 0.39901288293222104, 0.35962101483159181, 0.31885024116901001, 0.27674336086026408, 0.2333521152185779, 0.18873759545291671, 0.14297062560971868, 0.096132115709591626, 0.048313379525507044, -0.00038358883718521143, -0.049845885660697295, -0.099949521968676278, -0.15055930804420456, -0.20152880479580074, -0.25270034875965974, -0.30390515757424702, -0.35496352274746379, -0.4056850964493664, -0.45586927889726703, -0.50530571264738766, -0.55377488976053313, -0.60104887736125978, -0.64689216655377857, -0.69106264898686465, -0.73331272456861973, -0.77339054291489417, -0.81104138006864557, 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-0.91694531966419934, 0.89946560517507124, -0.88077723780042294, 0.86099576136681266, -0.84023397603959249, 0.81860162390640867, -0.796205118714578, 0.77314731759783095, -0.74952733250471737, 0.72544037896198199, -0.70097765980604587, 0.67622628148050334, -0.65126920047273773, 0.62618519753795332, -0.60104887736144608, 0.57593069136480424, -0.55089698145218191, 0.52601004251397765, -0.50132820166018488, 0.47690591218530526, -0.45279386036808306, 0.4290390833651167, -0.40568509645037554, 0.3827720280763382, -0.36033676125198227, 0.33841307983513402, -0.31703181849472845, 0.29622101515464083, -0.2760060647928777, 0.25640987367073959, -0.23745301300816751, 0.2191538713382635, -0.20152880479604404, 0.18459228461925636, -0.16835704134700888, 0.15283420512977428, -0.13803344170061341, 0.12396308361540023, -0.110630256377754, 0.098040999160336914, -0.086200379880266867, 0.075112604335562244, -0.064781119288953887, 0.055208709333225685, -0.046397587328288914, 0.038349478447046295, -0.03106569760236999, 0.024547220292490568, -0.018794746789342908, 0.013808759594209193, -0.0095895741816169593, 0.0061373830151254354, -0.0034522927602768901, 0.0015343547837478589, -0.00038358883724551112, -4.1594761818964385e-13}; + static constexpr double chirp[4096] = {0.25096274041025335, -0.47596425297326062, -0.16740118942231896, 0.28633573260019096, 0.3998276613803185, 0.17073485240316538, -0.15321864183669559, -0.33709963677642113, -0.29807507950386136, -0.10323359842909174, 0.1133564369544402, 0.23999791208460391, 0.23620079644714564, 0.13180326896695621, -0.0061869381380595945, -0.11326087651495181, -0.1540397574935774, -0.12870461386124349, -0.062995348057887535, 0.0089657672488609452, 0.059967928756370886, 0.077798498826827323, 0.06532680371577812, 0.035075744153174993, 0.0020023580972491073, -0.022357070395223472, -0.032746902503088565, -0.030021857251808615, -0.018979568709332234, -0.0055745242108436732, 0.0053554616705639435, 0.011268093123608408, 0.011976821177836439, 0.0089439490118017329, 0.0042887794048358241, -7.8983155560957696e-05, -0.0029703903223861905, -0.0040343447466718863, -0.0035791937702248366, -0.002255439398280018, -0.00074467285970575281, 0.00045287736619692431, 0.0011024935404607139, 0.0012106844048613841, 0.00093812435947362993, 0.00049809919227883359, 7.5779392020303149e-05, -0.00021529988549190415, -0.00034016767938355175, -0.00032399294972881854, -0.00022293473994636215, -9.669519190741438e-05, 9.8649141503925897e-06, 7.4056019506663073e-05, 9.3606487824068885e-05, 7.9708348998980272e-05, 4.8806223097080936e-05, 1.5961487545707032e-05, -8.894961764774334e-06, -2.1835953164947575e-05, -2.3773813656785547e-05, -1.8363735202100995e-05, -9.9273090425587573e-06, -1.9799684597837652e-06, 3.4497348237885826e-06, 5.8192570179509823e-06, 5.6518838394865878e-06, 3.9779657635546917e-06, 1.8493408834516223e-06, 3.5969877895669633e-08, -1.0802056374659141e-06, -1.4609374946461529e-06, -1.2880515018187655e-06, -8.2636920113732248e-07, -3.1706017641908169e-07, 8.0486987741323901e-08, 3.0099023762275579e-07, 3.5436699050150899e-07, 2.9322882733051614e-07, 1.8128112247439709e-07, 7.1139630852812274e-08, -5.9465452839635446e-09, -4.0312933824449004e-08, -3.7979431183332579e-08, -1.2722853687252567e-08, 2.0848443527121674e-08, 5.1679431789519725e-08, 7.390229275761051e-08, 8.6364694645846285e-08, 9.1029368376460695e-08, 9.1146018732501943e-08, 8.9798177727029582e-08, 8.9080108262029611e-08, 8.9879723469410422e-08, 9.2083661362707403e-08, 9.4976896847231984e-08, 9.7647003122203202e-08, 9.9278838844307771e-08, 9.9302444961368863e-08, 9.7413147326363969e-08, 9.3510919674244519e-08, 8.7609571708391343e-08, 7.9754253562436261e-08, 6.9967823312921951e-08, 5.8230255811642095e-08, 4.4484407088485334e-08, 2.8656851114305937e-08, 1.0682955450813658e-08, -9.4713549295133426e-09, -3.179472143205464e-08, -5.6222552426155037e-08, -8.263450556201396e-08, -1.108548220718486e-07, -1.4065337046453852e-07, -1.7174613183013054e-07, -2.0379469488351898e-07, -2.3640503298005822e-07, -2.6912618206198502e-07, -3.0144952059552033e-07, -3.3280923150691422e-07, -3.625843620902458e-07, -3.9010266997263621e-07, -4.146463303544845e-07, -4.3545952493895257e-07, -4.5175786597684287e-07, -4.6273964013354707e-07, -4.675988653501939e-07, -4.6554014673794164e-07, -4.5579531160466757e-07, -4.3764175405858197e-07, -4.1042237239330426e-07, -3.7356691326428937e-07, -3.2661446272563843e-07, -2.6923674698031697e-07, -2.0126183900015526e-07, -1.2269780413909359e-07, -3.3755752776309933e-08, 6.5128313353479683e-08, 1.7327350815277143e-07, 2.8973666017784172e-07, 4.1329826676317349e-07, 5.424525670802427e-07, 6.7540258984893908e-07, 8.1006094606326032e-07, 9.4405715413137248e-07, 1.0747523014886795e-06, 1.1992616401057532e-06, 1.3144857779062713e-06, 1.4171508652682796e-06, 1.5038580744863861e-06, 1.5711425076780916e-06, 1.6155413654350692e-06, 1.6336710413900057e-06, 1.6223124787995147e-06, 1.5785038250948347e-06, 1.4996391045074553e-06, 1.3835712799059596e-06, 1.2287177165171137e-06, 1.0341657248613689e-06, 7.997755411826013e-07, 5.2627777977209966e-07, 2.1536210784156573e-07, -1.3024632428138005e-07, -5.067263463554017e-07, -9.0911982111863132e-07, -1.331313999236583e-06, -1.7660507570654849e-06, -2.2049661035500323e-06, -2.6386629176783361e-06, -3.0568194009181898e-06, -3.4483351312730726e-06, -3.8015156812384876e-06, -4.1042959786213862e-06, -4.3445013406945288e-06, -4.5101440247219404e-06, -4.5897516752213541e-06, -4.5727228088765504e-06, -4.4497028580670062e-06, -4.2129728716755466e-06, -3.856841580163195e-06, -3.3780300320584988e-06, -2.7760368794815804e-06, -2.0534712470154926e-06, -1.2163393747766094e-06, -2.7427072926689e-07, 7.5933082233081706e-07, 1.8672248338069686e-06, 3.0283743311654288e-06, 4.2180999133278885e-06, 5.4083578055613701e-06, 6.5681491556168758e-06, 7.6640648160042346e-06, 8.660966090643968e-06, 9.5227977086054238e-06, 1.0213524523683404e-05, 1.0698178384463408e-05, 1.0943996279655366e-05, 1.0921625332366292e-05, 1.0606364961196491e-05, 9.9794113412599028e-06, 9.0290646779511707e-06, 7.7518559363776163e-06, 6.1535466839290898e-06, 4.2499539736895464e-06, 2.0675518520862912e-06, -3.5619758048666128e-07, -2.9728274795470799e-06, -5.723202669560834e-06, -8.5382407322975862e-06, -1.1340039980906047e-05, -1.4043425249590791e-05, -1.6557909061139242e-05, -1.8790050859000471e-05, -2.0646180610681825e-05, -2.2035435939662951e-05, -2.287304416638547e-05, -2.3083763317527373e-05, -2.2605379577683715e-05, -2.1392143807918984e-05, -1.9418017333183712e-05, -1.6679588171225612e-05, -1.3198513779483223e-05, -9.0233463699851413e-06, -4.2306021886817646e-06, 1.0750523462277339e-06, 6.7616068774589699e-06, 1.2671590438384506e-05, 1.8625085642182126e-05, 2.4423890413294291e-05, 2.9856801430597213e-05, 3.470594657341286e-05, 3.8754043725278825e-05, 4.179241197733996e-05, 4.3629510469420096e-05, 4.4099732248864543e-05, 4.3072137419303269e-05, 4.0458774985013823e-05, 3.6222217491055364e-05, 3.0381920207933621e-05, 2.3019018931924595e-05, 1.4279199274658261e-05, 4.3733071486695696e-06, -6.4245743168211966e-06, -1.7781782135628532e-05, -2.9314573792904586e-05, -4.0598471360231425e-05, -5.1181328789992597e-05, -6.0598871176195668e-05, -6.8392318759965057e-05, -7.4127573725907281e-05, -7.741531927391021e-05, -7.793126613706014e-05, -7.5435687573455201e-05, -6.9791317541534337e-05, -6.0978654560700507e-05, -4.9107721584812358e-05, -3.442538463377387e-05, -1.7317433346764055e-05, 1.6952241861101225e-06, 2.1966702442199892e-05, 4.2742823562064158e-05, 6.3184274322558576e-05, 8.2395852821229298e-05, 9.9461094528033311e-05, 0.00011348123483660277, 0.00012361714454912215, 0.00012913258238436698, 0.00012943686378674713, 0.00012412486502047515, 0.00011301218348672148, 9.6163273857918785e-05, 7.3910487325579144e-05, 4.686216496069262e-05, 1.5898279253689918e-05, -1.7847423651407013e-05, -5.3019264337483829e-05, -8.8085283284855542e-05, -0.0001213958186642855, 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0.00029395800090935287, 0.00041553388844160072, 0.00051916272890955911, 0.00059736702054087598, 0.00064371767039489436, 0.00065331826961267936, 0.00062323138837508396, 0.00055281412826438392, 0.00044393307091283862, 0.00030103395223252116, 0.00013104875859765164, -5.6867790341669222e-05, -0.00025176967616788448, -0.00044150463166950371, -0.00061342673898708705, -0.00075519938803887687, -0.00085564177830289856, -0.00090556484252923841, -0.00089853824807700766, -0.00083152960840440771, -0.00070536063046899855, -0.00052493279743642818, -0.00029918720854890668, -4.0778918924039287e-05, 0.00023453522825234163, 0.00050877577700622623, 0.00076284629770433099, 0.0009778048706277076, 0.0011362232773388242, 0.0012235423699840098, 0.0012293242398338788, 0.0011483006467721268, 0.00098112345688478042, 0.00073473682731189927, 0.0004223122685790559, 6.2715592014234156e-05, -0.00032049240186693417, -0.00070048388066777656, -0.0010489468084278579, -0.001338115101809971, -0.0015429100902921017, 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-0.98310097022149712, 0.96438557256155044, -0.93930218611651695, 0.90819999120630091, -0.87145797187526552, 0.82948000399359256, -0.78269004831321076, 0.73152748936158396, -0.67644265592087638, 0.61789255374879737, -0.55633683622861352, 0.4922340338207612, -0.4260380586001799, 0.35819499580436731, -0.28914019024146159, 0.21929563163179702, -0.14906763947657739, 0.078844844925140725, -0.0089964643020857982, -0.060129143592012699, 0.12820564631780115, -0.19492964467539892, 0.26002133095550795, -0.32322491317580226, 0.38430882091717838, -0.44306570896105829, 0.49931227554824542, -0.55288891224740966, 0.60365920240401616, -0.65150928514655648, 0.6963471015272289, -0.73810153894523434, 0.7767214895294573, -0.81217483737432095, 0.84444738889793325, -0.87354175973570347, 0.89947623068263893, -0.92228358441652813, 0.94200993369459773, -0.95871355084102128, 0.97246370748697908, -0.98333953241162819, 0.99142889466537587, -0.9968273181129208, 0.99963693272217791, -0.99996546720382296, 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0.10582746674547686, -0.093515633876282866, 0.08195414423767329, -0.071146904450101786, 0.061097099113592207, -0.051807285346046519, 0.043279480855321524, -0.035515245503264035, 0.028515756352634335, -0.022281876001486327, 0.01681421428391135, -0.012113183267296013, 0.0081790454461913159, -0.0050119552680257338, 0.0026119938560514849, -0.00097919693494605341, 0.00011357606054247919}; +}; + +struct case_tupw_hp_zeta_8_100Hz_1000Hz_z50 +{ + static constexpr int order = 8; + static constexpr double cutoff_hz = 100.0; + static constexpr double sample_rate_hz = 1000.0; + + static constexpr double b[9] = {0.23881282881003074, -1.9105026304802493, 6.6867592066808834, -13.373518413361785, 16.716898016702253, -13.37351841336182, 6.6867592066809189, -1.910502630480265, 0.23881282881003349}; + static constexpr double a[9] = {1, -5.0020657233949581, 11.56564132497385, -16.011418752379036, 14.473095752549275, -8.737804527558577, 3.4444091779685992, -0.81295577541807962, 0.088693141125424063}; + static constexpr double step[256] = {0.23881282881003074, -0.47713233637257579, -0.13360142210114712, 0.31534157010950625, 0.38506781961872816, 0.11707113454432416, -0.20523506109474055, -0.34770131976273844, -0.25769580011135795, -0.035920564835936752, 0.16875726630534105, 0.25434817150345024, 0.20478518455521455, 0.073273914872249768, -0.062635995377175901, -0.14343671787286383, -0.14888113655318225, -0.095495296859554046, -0.019161142534105946, 0.045030119278372749, 0.07643768177983945, 0.072600888684118847, 0.044756743342671768, 0.009537468961115958, -0.018745572923241638, -0.032526204771255451, -0.031557185095815066, -0.02068951574153377, -0.006577631060843081, 0.0051653008281739021, 0.011517085522091741, 0.012201152675857085, 0.0088661174177245838, 0.0039010908931674804, -0.00059025143820023995, -0.0033700994002251461, -0.0041647048102199102, -0.0034169981773716218, -0.0018959300463187168, -0.00033970491400603375, 0.00076445163405070016, 0.0012425308555165104, 0.0011751618729513025, 0.00078056530467274232, 0.00029723444193552329, -9.6742635141811029e-05, -0.00031599388945557916, -0.00035963794430660112, -0.00028014029837530874, -0.000147440958829681, -2.1190061412768024e-05, 6.3421993978907132e-05, 9.703211630995856e-05, 8.9109576289936321e-05, 5.7919478460566332e-05, 2.1665017635341677e-05, -6.9506689442944136e-06, -2.2409146682611514e-05, -2.5247132013572759e-05, -1.9544644323299387e-05, -1.0326488839473846e-05, -1.6943129551583169e-06, 4.0339210861661812e-06, 6.3131671780292109e-06, 5.8349032819871027e-06, 3.8331430399773936e-06, 1.5030655778902613e-06, -3.3829980450317265e-07, -1.3439376042034823e-06, -1.5522571695791854e-06, -1.2216591757097106e-06, -6.6590827552115428e-07, -1.3905759776999815e-07, 2.1568225305745869e-07, 3.6361798894102293e-07, 3.4501510592921392e-07, 2.3288514483521539e-07, 9.8157969419254698e-08, -1.0410630468804527e-08, -7.1610818719314295e-08, -8.6818047528858244e-08, -7.037570692869366e-08, -4.0069248918861433e-08, -1.0476126299785449e-08, 1.0015199225499316e-08, 1.913713731926947e-08, 1.8896082143449178e-08, 1.3223327655076389e-08, 6.0248003252993954e-09, 4.1879721912607693e-11, -3.4744033206024483e-09, -4.5152294125827552e-09, -3.8023478809989797e-09, -2.2730018978123212e-09, -7.1488182040724269e-10, 4.0337233553344731e-10, 9.3728569350304269e-10, 9.7408181520819426e-10, 7.1049843786141764e-10, 3.4928537839817864e-10, 3.7111314021842645e-11, -1.5509560302717773e-10, -2.2130197674385954e-10, -1.949672645551459e-10, -1.2266110349656856e-10, -4.4885539729477841e-11, 1.3271939103276509e-11, 4.303102318914398e-11, 4.764066918738763e-11, 3.6360581212591114e-11, 1.9206747303712746e-11, 3.6871616870826074e-12, -6.3443694742204571e-12, -1.0274558981393511e-11, -9.5373708930424073e-12, -6.3241634151722792e-12, -2.6184610035784317e-12, 2.9720670369215441e-13, 1.9150236951759325e-12, 2.3167023854853142e-12, 1.8968160375720799e-12, 1.1136647160014945e-12, 3.3162361745553426e-13, -2.3880897259687117e-13, -5.3079762807328734e-13, -5.7720495050261889e-13, -4.6129766673175254e-13, -2.758904216193514e-13, -9.5368157815300947e-14, 3.6748382115092681e-14, 1.0691447727140257e-13, 1.2290168882600483e-13, 1.0269562977782698e-13, 6.7168492989821971e-14, 3.6082248300317588e-14, 2.453592884421596e-14, 3.8746783559417963e-14, 7.2497563508022722e-14, 1.0713652187632761e-13, 1.1779466291272911e-13, 8.3377749149349256e-14, -2.7755575615628914e-15, -1.2645440250480533e-13, -2.5479618415147343e-13, -3.4516833835596117e-13, -3.5937919307116317e-13, -2.8033131371785203e-13, -1.220135104063047e-13, 7.1165295878472534e-14, 2.3725466036239595e-13, 3.1852298576495741e-13, 2.8432811660650259e-13, 1.4621637234313312e-13, -4.5408121707168903e-14, -2.206013149930186e-13, -3.1807889655510735e-13, -3.0808688933348094e-13, -2.0039525594484076e-13, -3.652633751016765e-14, 1.2845280394913061e-13, 2.4769075679387242e-13, 2.978728375069295e-13, 2.8410607200157756e-13, 2.3125945602942011e-13, 1.6864287744056128e-13, 1.1735057370287905e-13, 8.3821838359199319e-14, 6.1617377866696188e-14, 3.9412917374193057e-14, 1.0103029524088925e-14, -2.5424107263916085e-14, -6.0285110237146e-14, -8.6264329013374663e-14, -9.5368157815300947e-14, -8.0491169285323849e-14, -4.0745185003743245e-14, 1.4099832412739488e-14, 6.3837823915946501e-14, 8.6042284408449632e-14, 6.8278716014447127e-14, 1.4099832412739488e-14, -5.8730798002670781e-14, -1.2734258092450546e-13, -1.730837695390619e-13, -1.8596235662471372e-13, -1.6331380692236053e-13, -1.0691447727140257e-13, -2.453592884421596e-14, 6.6724403779971908e-14, 1.4310774787418268e-13, 1.8152146452621309e-13, 1.66644475996236e-13, 9.758860386455126e-14, -9.8809849191638932e-15, -1.2734258092450546e-13, -2.2104540420286867e-13, -2.6256774532384952e-13, -2.3925306180672123e-13, -1.5731860258938468e-13, -3.8746783559417963e-14, 8.3599793754274287e-14, 1.7508217098338719e-13, 2.1171953079601735e-13, 1.8973711490843925e-13, 1.2512213487525514e-13, 4.1855408028368402e-14, -3.8968828164342995e-14, -1.0402789740737717e-13, -1.4510614931850796e-13, -1.553202011450594e-13, -1.2911893776390571e-13, -6.4726002335646626e-14, 3.1863400806741993e-14, 1.4199752484955752e-13, 2.3636648194269583e-13, 2.8388402739665253e-13, 2.6301183453369958e-13, 1.7197354651443675e-13, 3.2751579226442118e-14, -1.1290968160437842e-13, -2.1727064591914313e-13, -2.4724666758402236e-13, -2.0083934515469082e-13, -1.0624834345662748e-13, -6.9944050551384862e-15, 5.850875339774575e-14, 7.0943251273547503e-14, 3.4527936065842368e-14, -2.8532731732866523e-14, -9.1815444136500446e-14, -1.3644640972643174e-13, -1.5376588891058418e-13, -1.4355183708403274e-13, -1.1290968160437842e-13, -7.4273920347422973e-14, -4.163336342344337e-14, -2.4980018054066022e-14, -2.6090241078691179e-14, -3.7858605139717838e-14, -4.7850612361344247e-14, -4.3631764867768652e-14, -1.7208456881689926e-14, 3.0531133177191805e-14, 9.0039087297100195e-14, 1.4599432773820809e-13, 1.80855330711438e-13, 1.8018919689666291e-13, 1.3777867735598193e-13, 5.8064664187895687e-14, -4.5852210917018965e-14, -1.553202011450594e-13, -2.5079938126282286e-13, -3.1452618287630685e-13, -3.3206770666538432e-13, -2.9742874829707944e-13, -2.1815882433884326e-13}; + static constexpr double impulse[256] = {0.23881282881003074, -0.71594516518260654, 0.34353091427142868, 0.44894299221065315, 0.06972624950921924, -0.26799668507441549, -0.32230619563909446, -0.14246625866805473, 0.090005519651294108, 0.22177523527531562, 0.20467783114117699, 0.085590905198043021, -0.049562986948245902, -0.13151126968291757, -0.13590991024933807, -0.080800722495587451, -0.0054444186802325434, 0.053385839693680492, 0.076334154325460923, 0.0641912618124586, 0.031407562501425457, -0.0038367930957717289, -0.027844145341499447, -0.035219274381600427, -0.028283041884383409, -0.013780631848010705, 0.00096901967547470547, 0.010867669354337518, 0.014111884680750857, 0.011742931889061947, 0.0063517846939349157, 0.00068406715375299298, -0.0033350352581659813, -0.0049650265245976509, -0.0044913423313997815, -0.0027798479620364386, -0.00079460540998246842, 0.00074770663287585144, 0.0015210681310762627, 0.0015562251323113473, 0.0011041565480215251, 0.00047807922140447479, -6.7368982632977099e-05, -0.00039459656832909476, -0.00048333086275092444, -0.00039397707704489542, -0.0002192512542396525, -4.3644054752350024e-05, 7.9497646028337069e-05, 0.00013269933961213785, 0.00012625089743135824, 8.4612055348541582e-05, 3.3610122243838911e-05, -7.9225401222877121e-06, -3.119009791235006e-05, -3.6254460862341408e-05, -2.8615686560361822e-05, -1.54584776721358e-05, -2.8379852436078221e-06, 5.7024877696279691e-06, 9.2181555339229115e-06, 8.6321759002443228e-06, 5.7282340334224532e-06, 2.2792460759674671e-06, -4.7826391005523829e-07, -2.0017602570390416e-06, -2.3300774913697237e-06, -1.8413654370774202e-06, -1.0056378779976636e-06, -2.083196487608629e-07, 3.3059793517599935e-07, 5.557508927200538e-07, 5.2685073036494265e-07, 3.5473995010548614e-07, 1.4793585150583878e-07, -1.8602786910535499e-08, -1.1212991381384744e-07, -1.3472718925430116e-07, -1.0856866601253551e-07, -6.1200278964826849e-08, -1.5207307908940217e-08, 1.6442303283131731e-08, 3.0306476718031113e-08, 2.9593192900031244e-08, 2.0491425617890499e-08, 9.122035004233618e-09, -2.4099725237230628e-10, -5.6727618410802086e-09, -7.1986048593018257e-09, -5.9830477824814727e-09, -3.5164206444598081e-09, -1.0409324250217809e-09, 7.128326558749733e-10, 1.529355637757911e-09, 1.5581672811066292e-09, 1.1183093338248808e-09, 5.3395225517957555e-10, 3.6808303161905208e-11, -2.6359429653594414e-10, -3.6123302624568203e-10, -3.1218540322289741e-10, -1.9219581283362461e-10, -6.6168453045937832e-11, 2.6392750031371287e-11, 7.2369118827220368e-11, 7.7827772244028217e-11, 5.8189445738740883e-11, 2.9766779312714208e-11, 4.5929194859547986e-12, -1.1316817001878353e-11, -1.7200743206199194e-11, -1.5561945053689373e-11, -1.0056374411138145e-11, -3.9319759676104794e-12, 7.5364340556191109e-13, 3.235044362804997e-12, 3.717622861771359e-12, 2.9065489771435499e-12, 1.5879989578756556e-12, 3.6385477268694677e-13, -4.47001857089298e-13, -7.8232838818720356e-13, -7.4587720174564962e-13, -5.064188897818645e-13, -2.2053730489005858e-13, 8.1809994092830244e-15, 1.3702250593812069e-13, 1.7077674503106159e-13, 1.400949122783296e-13, 8.1465706252692477e-14, 2.401016059168964e-14, -1.592664540479132e-14, -3.412139978845984e-14, -3.4535237798693333e-14, -2.4652999936226708e-14, -1.1778803263032197e-14, -9.6863423843665533e-16, 5.4920510597706304e-15, 7.5730642244728446e-15, 6.5422021110068383e-15, 4.0366976600757361e-15, 1.4241070513839515e-15, -4.8351916567062147e-16, -1.4296409291526537e-15, -1.5500289082444972e-15, -1.1643846805306093e-15, -6.0343799414759454e-16, -1.0710792809641972e-16, 2.0687613116607676e-16, 3.2496294217103073e-16, 2.9691489199786818e-16, 1.9393507074610568e-16, 7.8527424054856467e-17, -1.0103982386935061e-17, -5.7519413578844698e-17, -6.760239815435072e-17, -5.3514385679787825e-17, -2.9826661187131674e-17, -7.6339360087454738e-18, 7.2012283535222369e-18, 1.3508969753717123e-17, 1.3127401144047873e-17, 9.0625174618876114e-18, 4.1006240005490089e-18, 8.5395827901128058e-20, -2.2154346165135943e-18, -2.8696783492401129e-18, -2.3989524545684036e-18, -1.4289644452490721e-18, -4.6071424536301451e-19, 2.2253454310846153e-19, 5.4400925315405663e-19, 5.6641030003039247e-19, 4.129949120922294e-19, 2.0511129263271542e-19, 2.7401075771721053e-20, -8.1112156683357645e-20, -1.1866650860274313e-19, -1.0509069024491802e-19, -6.6599812711377929e-20, -2.5322645711589676e-20, 5.4186082756342431e-21, 2.1189603651757777e-20, 2.3879310999201131e-20, 1.8393871037835377e-20, 9.9028862037195564e-21, 2.206872215653435e-21, -2.7824268239976672e-21, -4.7806529158550333e-21, -4.5053055581841926e-21, -3.0284745313206364e-21, -1.3074878979979533e-21, 4.6149022401794133e-23, 7.9549857078425091e-22, 9.8437981138047891e-22, 8.0201035435176066e-22, 4.6399493723569824e-22, 1.3749775302535313e-22, -8.6695884751544184e-23, -1.874855045648026e-22, -1.8921545856265447e-22, -1.3467309649536436e-22, -6.4465354641824347e-23, -6.0471626254622884e-24, 2.8591806226579869e-23, 3.9686314853645864e-23, 3.4280753348013078e-23, 2.118190468973347e-23, 7.6016144382975781e-24, -2.2632612092309059e-24, -7.1438662724326487e-24, -7.7902935329140184e-24, -5.8673588807541603e-24, -3.0651054995927425e-24, -5.9140269593461834e-25, 9.7157722936554817e-25, 1.5641979565287404e-24, 1.43788835159836e-24, 9.4495711457260217e-25, 3.9089355018541159e-25, -3.4830051463053674e-26, -2.6353247594958607e-25, -3.1451713029353177e-25, -2.508053373153912e-25, -1.4144413476915328e-25, -3.8581008039736651e-26, 3.043629573268686e-26, 6.0206448407719334e-26, 5.9225779357306369e-26, 4.1289963057201104e-26, 1.9114256236013438e-26, 1.0729921658005361e-27, -9.3533489446504851e-27, -1.245026416308936e-26, -1.0530396963181137e-26, -6.3632057144735427e-27, -2.1605873972130401e-27, 8.2777443849611522e-28, 2.258431419908506e-27, 2.39652397135174e-27, 1.7702060885712011e-27, 8.9978282793239789e-28, 1.4830626038619291e-28, -3.1588863272571517e-28, -4.8294590326547642e-28, -4.3462934636847608e-28, -2.7996834813019912e-28, -1.1122070441878136e-28, 1.5847996493925534e-29, 8.2277854028744628e-29, 9.5274222767371278e-29, 7.456469190123914e-29, 4.1085930719834094e-29, 1.0299328099624115e-29, -9.9390857540811355e-30, -1.8335005512502718e-29}; + static constexpr double chirp_in[4096] = {1, 0.99999992642979929, 0.99999882287700514, 0.99999404081958787, 0.9999811660875062, 0.99995401897637071, 0.99990465453387189, 0.99982336314626385, 0.99969867158853654, 0.99951734473821929, 0.99926438818900221, 0.998923052036508, 0.99847483614453059, 0.99789949723582638, 0.99717505818699503, 0.99627781994202647, 0.99518237649358454, 0.9938616334148932, 0.99228683045801158, 0.99042756876612315, 0.98825184327798898, 0.98572608093165093, 0.98281518530153245, 0.97948258832792745, 0.9756903098201305, 0.97139902543374301, 0.96656814383854717, 0.96115589380530031, 0.95511942194735522, 0.94841490185561306, 0.94099765536237645, 0.93282228666059408, 0.92384282998911005, 0.91401291157120323, 0.90328592646221384, 0.89161523092170281, 0.87895435087564089, 0.86525720697385833, 0.85047835667664762, 0.83457325372130264, 0.81749852522376165, 0.79921226656174948, 0.77967435406322239, 0.75884677538693723, 0.73669397733007314, 0.7131832306305963, 0.68828501114913054, 0.66197339661628929, 0.6342264779166199, 0.60502678364962148, 0.57436171646195799, 0.54222399938345511, 0.50861213012343165, 0.4735308409942906, 0.43699156182725674, 0.39901288293222104, 0.35962101483159181, 0.31885024116901001, 0.27674336086026408, 0.2333521152185779, 0.18873759545291671, 0.14297062560971868, 0.096132115709591626, 0.048313379525507044, -0.00038358883718521143, -0.049845885660697295, -0.099949521968676278, -0.15055930804420456, -0.20152880479580074, -0.25270034875965974, -0.30390515757424702, -0.35496352274746379, -0.4056850964493664, -0.45586927889726703, -0.50530571264738766, -0.55377488976053313, -0.60104887736125978, -0.64689216655377857, -0.69106264898686465, -0.73331272456861973, -0.77339054291489417, -0.81104138006864557, -0.8460091508484886, -0.87803805587175265, -0.9068743608505454, -0.93226830418043516, -0.95397612713425417, -0.97176221914417393, -0.9854013687119787, -0.99468110844139446, -0.99940414055107041, -0.99939082701909576, -0.99448172624942033, -0.98454015586016352, -0.96945475889963473, -0.94914204852736517, -0.92354890398720091, -0.89265498858333392, -0.85647505838693705, -0.81506112859245528, -0.7685044628528731, -0.71693734959881206, -0.66053462833527321, -0.59951492826162256, -0.53414158132492895, -0.46472317204376912, -0.39161368717798556, -0.3152122296164856, -0.23596226275400647, -0.15435035416899404, -0.070904390633105427, 0.013808759593039822, 0.09918615657250443, 0.18459228461860086, 0.2693631422116452, 0.35281092692297711, 0.43422930879702298, 0.51289927740590668, 0.5880955389371294, 0.65909343027171097, 0.72517630714337644, 0.78564335324217838, 0.83981774665942033, 0.88705510950404776, 0.92675215601078931, 0.9583554441811033, 0.98137012613941343, 0.99536858315359633, 0.99999882287700514, 0.99499250904629088, 0.98017248784854372, 0.95545967068985072, 0.92087913039150604, 0.87656526714078131, 0.82276590205092281, 0.7598451601445787, 0.68828501114912999, 0.60868534583648182, 0.52176247787447139, 0.42834597636238814, 0.32937375243207906, 0.22588534448833064, 0.11901337075840943, 0.0099731446764950698, -0.099949521968675376, -0.20941227153109016, -0.31703181849493733, -0.42140110777252832, -0.52110785216033795, -0.61475425146856222, -0.70097765980614957, -0.77847193249159985, -0.84600915084848771, -0.90246139255836488, -0.94682218813969621, -0.97822728137500836, -0.99597429399523896, -0.99954088350734849, -0.98860097853545059, -0.9630386791909602, 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0.18459228461925636, -0.16835704134700888, 0.15283420512977428, -0.13803344170061341, 0.12396308361540023, -0.110630256377754, 0.098040999160336914, -0.086200379880266867, 0.075112604335562244, -0.064781119288953887, 0.055208709333225685, -0.046397587328288914, 0.038349478447046295, -0.03106569760236999, 0.024547220292490568, -0.018794746789342908, 0.013808759594209193, -0.0095895741816169593, 0.0061373830151254354, -0.0034522927602768901, 0.0015343547837478589, -0.00038358883724551112, -4.1594761818964385e-13}; + static constexpr double chirp[4096] = {0.23881282881003074, -0.47713235394208353, -0.13360165054099013, 0.31534096446265258, 0.38506715087824706, 0.11707105698100009, -0.20523411864693525, -0.34769956837419475, -0.25769402217596554, -0.035919656282633244, 0.16875680365195836, 0.25434648068662286, 0.20478294624023557, 0.073271992547991438, -0.062636944725361243, -0.14343648285568447, -0.14887996448101784, -0.095493721415110394, -0.019159735596266381, 0.045030957333458382, 0.076437822479727052, 0.072600455910226319, 0.044756011094807258, 0.0095367341469864697, -0.018746091773485546, -0.032526415391597674, -0.031557114921953983, -0.020689268793636417, -0.006577333182481826, 0.005165547124051012, 0.011517225055591412, 0.012201179413057289, 0.0088660605535317016, 0.0039009946238934834, -0.00059034609723801479, -0.0033701657991441203, -0.0041647337463263656, -0.0034169946693139996, -0.001895906940827613, -0.00033967636268936174, 0.00076447480546046331, 0.0012425431512207707, 0.0011751628312174633, 0.00078055781220318088, 0.00029722266390047603, -9.6754950639599269e-05, -0.00031600436238329865, -0.0003596457585160473, -0.00028014586237964934, -0.00014744533069885324, -2.1194396312429475e-05, 6.3416818464223645e-05, 9.7025653247914678e-05, 8.9101779622957622e-05, 5.7910568871416546e-05, 2.1655323711858299e-05, -6.9608376834506824e-06, -2.241956948857704e-05, -2.5257690675350997e-05, -1.9555298392683051e-05, -1.0337234380340676e-05, -1.7051431901241032e-06, 4.0230425625183142e-06, 6.3023178083106146e-06, 5.8242003807217307e-06, 3.8227354236305272e-06, 1.4931233296641699e-06, -3.47593710273153e-07, -1.3523921766137037e-06, -1.5596748916685277e-06, -1.2278352493760858e-06, -6.7062905743930923e-07, -1.4209941062715004e-07, 2.1455324684949151e-07, 3.6464464456265056e-07, 3.4844703031278179e-07, 2.3897560552654795e-07, 1.0716027704082975e-07, 1.7529483420375414e-09, -5.6044589635817488e-08, -6.7620222282682718e-08, -4.7334460517856058e-08, -1.2994931686272082e-08, 2.0793270077978931e-08, 4.5608152310361305e-08, 5.9142318986626918e-08, 6.3355762691674755e-08, 6.2126545852247972e-08, 5.9300404225970382e-08, 5.7551526710941658e-08, 5.8056817159313212e-08, 6.0744199836815227e-08, 6.4804563715270547e-08, 6.920729489490185e-08, 7.3065966360585932e-08, 7.5808675947808268e-08, 7.7184195590440652e-08, 7.7170739770648922e-08, 7.585522032726999e-08, 7.3331409805588166e-08, 6.9639741584470727e-08, 6.4749771683247914e-08, 5.8573370126380198e-08, 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6.4202207171676698e-07, 7.4355928020297668e-07, 8.4204795094272589e-07, 9.3524926195187597e-07, 1.0207682145518815e-06, 1.0960860025027719e-06, 1.1585994837970404e-06, 1.2056678246052943e-06, 1.2346661308060281e-06, 1.2430457655421279e-06, 1.2284007819551856e-06, 1.1885396729582887e-06, 1.121561396422166e-06, 1.0259343789231767e-06, 9.0057692414546864e-07, 7.4493719193213792e-07, 5.5907067597615878e-07, 3.4371285731471524e-07, 1.0034450831364339e-07, -1.6875303138208508e-07, -4.6045539792149981e-07, -7.7076837179390623e-07, -1.0948194784643484e-06, -1.4268707007186743e-06, -1.7603548227579369e-06, -2.0879375758203755e-06, -2.4016073622429301e-06, -2.692793847711844e-06, -2.952515952302226e-06, -3.1715591875258742e-06, -3.340681274874302e-06, -3.4508441665026535e-06, -3.4934694314592285e-06, -3.4607130527664065e-06, -3.345754404887602e-06, -3.1430931120290939e-06, -2.848846450048681e-06, -2.4610388036361286e-06, -1.9798739039345037e-06, -1.4079797281685291e-06, -7.5061545057319989e-07, 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0.00091550136448162456, 0.00083500003422834479, 0.00069056957612478875, 0.00048886219344443371, 0.00024114752980722298, -3.7195884918239663e-05, -0.00032753567002408168, -0.00060915047122409027, -0.00086064103256957084, -0.0010614992728057784, -0.0011937272762068823, -0.0012433848827356209, -0.0012019397150632716, -0.0010672982115558782, -0.00084441108934671383, -0.00054537141738764117, -0.00018895707620170121, 0.00020039007410233012, 0.00059411116336786918, 0.00096152042891731182, 0.0012721123528806888, 0.0014980230950300266, 0.0016164571228225455, 0.0016118769704314417, 0.0014777568547416631, 0.0012177206843588251, 0.00084592173260047976, 0.0003865733490978629, -0.00012739548304219195, -0.00065651359064941572, -0.0011576491797643182, -0.0015874078536271402, -0.00190579508183647, -0.0020798475607660682, -0.0020869164964322506, -0.0019172905260492479, -0.0015758787494490334, -0.0010827348035736262, -0.000472288170232954, 0.00020874649105886989, 0.0009046949898466744, 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static_assert(!near_eq(kElDefaultLp2.coeffs_a()[1], el_ref::lp_2_5rp_40rs_100Hz_1000Hz::a[1], kCoeffTol), "Elliptic default method must not be ZOH"); + +// ============================================================================= +// Butterworth uniform-zeta (ZOH), N=2, fc=100Hz, fs=1000Hz, zeta=0.5 +// ============================================================================= +static constexpr constfilt::Butterworth kBwZeta2( + 100.0, 1000.0, 0.5); +static_assert(near_eq(kBwZeta2.coeffs_b()[1], + bw_ref::case_zeta_2_100Hz_1000Hz_z50::b[1], kCoeffTol), + "Butterworth zeta N=2: constexpr ctor b[1] disagrees"); +static_assert(near_eq(kBwZeta2.coeffs_a()[1], + bw_ref::case_zeta_2_100Hz_1000Hz_z50::a[1], kCoeffTol), + "Butterworth zeta N=2: constexpr ctor a[1] disagrees"); + +// N=1: zeta argument must be a no-op (real pole, no pairs to modify). +static constexpr constfilt::Butterworth kBwZeta1( + 100.0, 1000.0, 0.5); +static constexpr constfilt::Butterworth kBw1(100.0, + 1000.0); +static_assert(near_eq(kBwZeta1.coeffs_a()[1], kBw1.coeffs_a()[1], kCoeffTol), + "Butterworth N=1: zeta must be ignored"); } // namespace } // namespace