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8 changes: 6 additions & 2 deletions src/Bridges/Variable/kernel.jl
Original file line number Diff line number Diff line change
Expand Up @@ -19,8 +19,12 @@ function MOI.Bridges.Variable.bridge_constrained_variable(
gram, vars, con = SOS.add_gram_matrix(model, M, gram_basis, T)
push!(variables, vars)
push!(constraints, con)
MA.operate_to!(cache, +, gram)
MA.operate!(SA.UnsafeAddMul(*), acc, cache, weight)
if isone(weight)
MA.operate!(SA.UnsafeAdd(), acc, gram)
else
MA.operate_to!(cache, +, gram)
MA.operate!(SA.UnsafeAddMul(*), acc, cache, weight)
end
end
MA.operate!(SA.canonical, SA.coeffs(acc))
return KernelBridge{T,M}(
Expand Down
22 changes: 16 additions & 6 deletions src/Certificate/ideal.jl
Original file line number Diff line number Diff line change
Expand Up @@ -37,12 +37,22 @@ function _combine_with_gram(
)
end
for (gram, weight) in zip(gram_bases, weights)
MA.operate_to!(
cache,
+,
GramMatrix{_NonZero}((_, _) -> _NonZero(), gram),
)
MA.operate!(SA.UnsafeAddMul(*), p, cache, weight)
if isone(weight)
MA.operate!(
SA.UnsafeAdd(),
p,
SA.QuadraticForm(
GramMatrix{_NonZero}((_, _) -> _NonZero(), gram),
),
)
else
MA.operate_to!(
cache,
+,
GramMatrix{_NonZero}((_, _) -> _NonZero(), gram),
)
MA.operate!(SA.UnsafeAddMul(*), p, cache, weight)
end
end
MA.operate!(SA.canonical, SA.coeffs(p))
return SA.sub_basis(parent(basis), keys(SA.coeffs(p)))
Expand Down
99 changes: 99 additions & 0 deletions test/Bridges/Variable/kernel.jl
Original file line number Diff line number Diff line change
Expand Up @@ -68,6 +68,105 @@ function test_runtests()
return
end

function test_runtests_weighted()
@polyvar x y
MOI.Bridges.runtests(
SumOfSquares.Bridges.Variable.KernelBridge,
model -> begin
p, _ = MOI.add_constrained_variables(
model,
SumOfSquares.WeightedSOSCone{
MOI.PositiveSemidefiniteConeTriangle,
}(
MB.SubBasis{MB.Monomial}([
y^4,
x * y^3,
x^2 * y^2,
x^3 * y,
x^4,
]),
[MB.SubBasis{MB.Monomial}([y^2, x * y, x^2])],
[MB.algebra_element(2.0 * x^0 * y^0)],
),
)
a = float.(1:length(p))
MOI.add_constraint(
model,
MOI.Utilities.vectorize([a' * p]),
MOI.Zeros(1),
)
end,
model -> begin
q, _ = MOI.add_constrained_variables(
model,
MOI.PositiveSemidefiniteConeTriangle(3),
)
a = float.(1:length(q))
MOI.add_constraint(
model,
MOI.Utilities.vectorize([
2.0 * q[1] +
8.0 * q[2] +
6.0 * (1.0q[3] + 2.0q[4]) +
16.0 * q[5] +
10.0 * q[6],
]),
MOI.Zeros(1),
)
end;
cannot_unbridge = true,
)
return
end

# weight (1 + x), gram basis [1, x]
# (1 + x) * (Q11 + 2*Q12*x + Q22*x^2)
# = Q11 + (2*Q12 + Q11)*x + (Q22 + 2*Q12)*x^2 + Q22*x^3
function test_runtests_polynomial_weight()
@polyvar x
MOI.Bridges.runtests(
SumOfSquares.Bridges.Variable.KernelBridge,
model -> begin
p, _ = MOI.add_constrained_variables(
model,
SumOfSquares.WeightedSOSCone{
MOI.PositiveSemidefiniteConeTriangle,
}(
MB.SubBasis{MB.Monomial}([x^0, x, x^2, x^3]),
[MB.SubBasis{MB.Monomial}([x^0, x])],
[MB.algebra_element(1.0 * x^0 + 1.0 * x)],
),
)
a = float.(1:length(p))
MOI.add_constraint(
model,
MOI.Utilities.vectorize([a' * p]),
MOI.Zeros(1),
)
end,
model -> begin
q, _ = MOI.add_constrained_variables(
model,
SumOfSquares.PositiveSemidefinite2x2ConeTriangle(),
)
# p[1] = 1.0*q[1], p[2] = 1.0*q[1] + 2.0*q[2],
# p[3] = 2.0*q[2] + 1.0*q[3], p[4] = 1.0*q[3]
MOI.add_constraint(
model,
MOI.Utilities.vectorize([
1.0 * q[1] +
2.0 * (1.0q[1] + 2.0q[2]) +
3.0 * (2.0q[2] + 1.0q[3]) +
4.0 * q[3],
]),
MOI.Zeros(1),
)
end;
cannot_unbridge = true,
)
return
end

end # module

TestVariableKernel.runtests()
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