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i8: add DotProductBatch register-blocked quantized matrix-vector kernel - #302

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i8-dotproductbatch
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i8-dotproductbatch

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@tphakala tphakala commented Sep 17, 2026

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Summary

DotProductBatch(results []int32, rows [][]int8, vec []int8) scores many int8 weight rows against one shared int8 activation vector into int32 (results[i] = DotProduct(rows[i], vec)). It is the quantized GEMM matrix-vector core and the highest-impact remaining Tier 1 item of the int8 surface.

A fused 4-row kernel keeps vec resident across the group instead of re-streaming it per row: on AVX2 it sign-extends with VPMOVSXBW and multiply-accumulates with VPMADDWD/VPADDD; on ARM64 it uses SDOT into four accumulators that share the vec register loaded once per 16-byte block. Ragged groups (any row shorter than vec) and the trailing rows past the last full group fall back to the shared per-row dispatch, which itself vectorizes each row through the existing DotProduct kernel. int32 addition wraps associatively, so any row grouping is bit-identical to the scalar Go reference, which makes parity the same as bit-exactness (there is no float rounding contract to preserve).

The dispatch gates the fused kernel on len(rows) >= 4 and vecLen >= 16 (and FEAT_DotProd on ARM64); everything below that, plain NEON, and the pure-Go platform take the per-row fallback. An empty vec zeroes results, matching the empty-row rule. The operation is allocation-free.

Measured roughly 1.6 to 2.6x over a per-row DotProduct loop across a dims x rows grid, with zero allocations, on an i7-1260P (AVX2) and a Raspberry Pi 5 Cortex-A76 (NEON SDOT); the win is largest at the small-to-medium activation widths typical of quantized inference and converges toward the memory-bound per-row loop at very large dims.

Related Issues

Advances the int8 surface tracking issue #132 (Tier 1, quantized inference). The umbrella issue stays open for the remaining Tier 1/2/3 items.

Test Plan

  • Parity against an independent scalar oracle across vecLen and row-count sweeps that straddle the dispatch gates, the 16-wide loop, the AVX2 8-wide prelude, and the scalar tail
  • Ragged, nil, empty, over-long, and single-element rows; full-group kernel path; trailing empty rows; length clamp and trailing-untouched results; empty-vec zeroing
  • int32 two's-complement wraparound forced past 2^31 and checked against the wrapping oracle
  • testing.AllocsPerRun == 0
  • Differential fuzzing against the oracle (millions of executions, seeded to reach the SIMD kernel path)
  • asmcheck cross-checks the new SDOT/ADDV WORD encodings against arm64asm; reserved-register and ISA/FMA gates pass
  • Built and tested on amd64 (AVX2) and on ARM64 hardware (Cortex-A76, FEAT_DotProd)
  • go vet, golangci-lint run ./..., gofmt all clean

Summary by CodeRabbit

  • New Features

    • Added DotProductBatch for computing multiple int8 dot products against a shared vector.
    • Supports varied row lengths, empty inputs, limited result ranges, and allocation-free execution.
    • Added documentation and an example demonstrating batched dot-product results.
  • Performance

    • Added optimized batched processing for supported AVX2 and ARM64 DotProd hardware, with portable fallbacks.
  • Tests

    • Added comprehensive correctness, fuzz, edge-case, and benchmark coverage.

DotProductBatch scores many int8 weight rows against one shared int8
activation vector into int32 (results[i] = DotProduct(rows[i], vec)): the
quantized GEMM matrix-vector core and the highest-impact remaining Tier 1
item in the int8 surface tracked by #132.

A fused 4-row kernel keeps vec resident across the group instead of
re-streaming it per row (AVX2 VPMOVSXBW/VPMADDWD/VPADDD; ARM64 SDOT into
four accumulators sharing the vec register per 16-byte block). Ragged
groups and the trailing rows fall back to the shared per-row
dotProductBatchRows dispatch. int32 addition wraps associatively, so any
row grouping is bit-identical to the scalar dotGo reference, making parity
the same as bit-exactness.

Measured about 1.6 to 2.6x over a per-row DotProduct loop, zero
allocations, on an i7-1260P (AVX2) and a Cortex-A76 (NEON SDOT). An empty
vec zeroes results, matching the empty-row rule.

Ships the established discipline: pure-Go reference, AVX2 and NEON kernels,
parity plus bit-exact plus zero-allocation tests, differential fuzzing, and
asmcheck cross-checks for the new SDOT/ADDV WORD encodings.
Copilot AI lite review requested due to automatic review settings September 17, 2026 16:24
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📒 Files selected for processing (3)
  • README.md
  • i8/dot_product_batch_test.go
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Walkthrough

Changes

Batched dot-product support

Layer / File(s) Summary
Public API and fallback path
i8/i8.go, i8/i8_go.go, i8/i8_other.go, README.md
Adds DotProductBatch for shared-vector row dot products. It clamps processed rows and vector lengths, preserves trailing results, handles empty inputs, and uses no allocations.
Architecture-specific four-row kernels
i8/i8_amd64.go, i8/i8_amd64.s, i8/i8_arm64.go, i8/i8_arm64.s
Adds AVX2 and SDOT processing for complete four-row groups. Ragged groups and trailing rows use the per-row fallback.
Validation and performance coverage
i8/dot_product_batch_test.go, i8/fuzz_test.go, i8/example_test.go, i8/benchmark_test.go
Adds scalar-oracle tests, fuzz coverage, an executable example, and benchmarks against repeated DotProduct calls.

Priority: ⬇️ Low

Estimated code review effort: 4 (Complex) | ~45 minutes

Change: Feature

Sequence Diagram(s)

sequenceDiagram
  participant Caller
  participant DotProductBatch
  participant ArchitectureDispatch
  participant FourRowKernel
  participant RowFallback
  Caller->>DotProductBatch: pass rows, vec, and results
  DotProductBatch->>ArchitectureDispatch: process selected rows
  ArchitectureDispatch->>FourRowKernel: process complete four-row groups
  ArchitectureDispatch->>RowFallback: process ragged or trailing rows
  FourRowKernel-->>DotProductBatch: write four int32 results
  RowFallback-->>DotProductBatch: write remaining results
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Merge Risk: ⚪ Minimal · up to cbce9

DotProductBatch has no established correctness or availability risk requiring resolution before merge.

🚥 Pre-merge checks | ✅ 4 | ❌ 1

❌ Failed checks (1 warning)

Check name Status Explanation Resolution
Docstring Coverage ⚠️ Warning Docstring coverage is 58.97% which is insufficient. The required threshold is 80.00%. Docstring coverage is scoped to functions touched by this diff. Analyzed 39 functions across 9 files. (1 skipped: … Write docstrings for the functions missing them to satisfy the coverage threshold.
✅ Passed checks (4 passed)
Check name Status Explanation
Description Check ✅ Passed Check skipped - CodeRabbit’s high-level summary is enabled.
Title check ✅ Passed The title clearly identifies the package, the new DotProductBatch operation, and the register-blocked quantized matrix-vector kernel. It accurately summarizes the main change.
Linked Issues check ✅ Passed Check skipped because no linked issues were found for this pull request.
Out of Scope Changes check ✅ Passed Check skipped because no linked issues were found for this pull request.
Full details: Docstring Coverage

Explanation

Docstring coverage is 58.97% which is insufficient. The required threshold is 80.00%. Docstring coverage is scoped to functions touched by this diff. Analyzed 39 functions across 9 files. (1 skipped: 1 unsupported.)

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✅ All modified and coverable lines are covered by tests.

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🟡 Changes recommended

Public API/docs currently state a no-overlap requirement that the new tests contradict, and the docs also misuse “capacity” where “elements” is meant.

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Pull request overview

Adds a new high-throughput int8 “matrix-vector core” API (DotProductBatch) to the i8 package, backed by fused 4-row SIMD kernels (AVX2 on amd64, SDOT on arm64) and a per-row fallback that reuses the existing DotProduct dispatch.

Changes:

  • Introduces DotProductBatch(results, rows, vec) with architecture-specific dispatch to a fused 4-row kernel when gates are met.
  • Implements new hand-written assembly kernels: dotProduct4AVX2 (amd64) and dotProduct4SDOT (arm64).
  • Adds comprehensive tests, fuzzing, examples, benchmarks, and README documentation for the new API.
File summaries
File Description
README.md Documents DotProductBatch and adds a usage snippet in the i8 section.
i8/i8.go Adds the exported DotProductBatch API and its contract documentation.
i8/i8_other.go Adds non-amd64/arm64 dispatch to the Go fallback row loop.
i8/i8_go.go Adds shared Go fallback dotProductBatchRows (per-row dotI8 dispatch).
i8/i8_arm64.s Adds fused 4-row SDOT kernel (dotProduct4SDOT) and scalar tail.
i8/i8_arm64.go Adds arm64 dispatch/gating and the dotProduct4SDOT declaration.
i8/i8_amd64.s Adds fused 4-row AVX2 kernel (dotProduct4AVX2) including tails and reduction.
i8/i8_amd64.go Adds amd64 dispatch/gating and the dotProduct4AVX2 declaration.
i8/fuzz_test.go Adds FuzzI8DotProductBatch with a seed that reaches the 4-row kernel path.
i8/example_test.go Adds ExampleDotProductBatch.
i8/dot_product_batch_test.go Adds targeted correctness/edge-case tests and an independent scalar oracle.
i8/benchmark_test.go Adds BenchmarkDotProductBatch and a per-row loop baseline benchmark.
Review details
  • Files reviewed: 12/12 changed files
  • Comments generated: 2
  • Review effort level: Lite

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Comment thread README.md
Comment thread i8/i8.go Outdated
Comment on lines +209 to +211
// results, rows and vec must not overlap, and rows and vec are read-only.
// Trailing capacity in results beyond n is left untouched. The call allocates
// nothing.

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Fixed in cbce954. Reworded the contract: rows and vec are read-only and may overlap (a row can even be vec itself, as the wraparound test relies on), so the old no-overlap requirement was wrong. results is a distinct []int32 slice. Also changed "capacity" to "elements from index n onward" since those are slice elements, not spare capacity.

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🧹 Nitpick comments (1)
i8/dot_product_batch_test.go (1)

146-149: 📐 Maintainability & Code Quality | 🔵 Trivial | ⚡ Quick win

Cover the scalar tail in the allocation assertion.

TestDotProductBatch already checks tail results, but this allocation test uses only length 64. That length has no scalar tail in either fused kernel. A length of 63 makes AllocsPerRun cover the tail path as well.

Proposed test change
-	vec := genI8(64, 1)
+	vec := genI8(63, 1)
 	rows := make([][]int8, 8)
 	for r := range rows {
-		rows[r] = genI8(64, uint32(r+2))
+		rows[r] = genI8(63, uint32(r+2))
 	}
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In `@i8/dot_product_batch_test.go` around lines 146 - 149, Update the allocation
assertion setup in TestDotProductBatch to generate vectors and rows of length 63
instead of 64, ensuring AllocsPerRun exercises the scalar tail path in both
fused kernels.

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Nitpick comments:
In `@i8/dot_product_batch_test.go`:
- Around line 146-149: Update the allocation assertion setup in
TestDotProductBatch to generate vectors and rows of length 63 instead of 64,
ensuring AllocsPerRun exercises the scalar tail path in both fused kernels.

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📒 Files selected for processing (12)
  • README.md
  • i8/benchmark_test.go
  • i8/dot_product_batch_test.go
  • i8/example_test.go
  • i8/fuzz_test.go
  • i8/i8.go
  • i8/i8_amd64.go
  • i8/i8_amd64.s
  • i8/i8_arm64.go
  • i8/i8_arm64.s
  • i8/i8_go.go
  • i8/i8_other.go

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Correct the DotProductBatch aliasing contract (rows and vec are read-only
and may overlap; results is a distinct int32 slice), say elements rather
than capacity for the untouched tail, fix the README example comment to
name the in-scope activation vector, and length the allocation assertion at
63 so the fused kernels' scalar-tail residue is exercised allocation-free.
@tphakala

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Thanks, applied the nitpick in cbce954: the allocation test now uses length 63 so the fused kernels' scalar-tail residue is exercised allocation-free too, not just the 16-aligned path.

@tphakala
tphakala merged commit c8ab812 into main Sep 17, 2026
26 checks passed
@tphakala
tphakala deleted the i8-dotproductbatch branch September 17, 2026 16:44
tphakala added a commit that referenced this pull request Sep 17, 2026
… below nfft 32 (#305)

* f32/f64/f16: zero DotProductBatch on empty vec, add scalar IRFFT pack below nfft 32

Two follow-ups deferred from #302 and #293.

#303: the public f32/f64 DotProductBatch returned early on an empty vec,
leaving results[:n] holding stale values from a previous call. The dot
product of an empty vector is 0, which is what an empty row already yields
and what i8.DotProductBatch writes. Drop the len(vec)==0 short-circuit in
f32, f64 and f16 so the kernel (which already zeroes results[i]=0 per row
when vecLen==0 on every build target) runs and zeroes results[:n]. All four
numeric packages now share the contract. New TestDotProductBatchEmptyVec in
each.

#295 item 1: below nfft 32 the vectorized IRFFT pack lost to the old scalar
path because packInverse (shared by IRFFT and ISTFT's irfftFrameUnscaled)
calls the non-inlined RealFFTUnpack, Scale and Interleave2 Go fallbacks plus
two scratch clears and a split load. Add a fused scalar packInverse and
scalar output/interleave below a half<16 cutoff (nfft<32). packInverseScalar
inlines the realFFTUnpack Go-fallback even/odd math bin for bin and mirrors
packInverse's 0-imag signed-zero convention, so it is bit-identical to the
fallback where the vector path already used it (half<=8 on amd64 f32, half<=4
on amd64 f64) and preserves the short-spectrum == zero-filled contract;
elsewhere it stays within the tolerance-stable IRFFT/ISTFT contract. half is
always a power of two, so nfft>=32 keeps the vector path untouched.

TestIRFFTShortInputs now sweeps nfft {8,16,32} so the scalar pack's
short-spectrum guards and signed-zero handling are exercised bit-exactly.

BenchmarkIRFFT, count=10 (arm64 core-pinned on Cortex-A76):
  amd64 i7-1260P  f32 nfft4 -45% nfft8 -34% nfft16 -15%; f64 -44/-32/-11%
  arm64 A76       f32 nfft4 -37% nfft8 -25% nfft16 -3%;  f64 -39/-28/-16%
nfft>=32 unchanged on both arches; zero allocations preserved.

* test: cover nfft 4 in IRFFT short-input sweep, assert empty spec bit-exactly

Address CodeRabbit review on #305: extend TestIRFFTShortInputs to nfft 4 (the
minimal scalar transform, half=2, where the single interior bin is its own
mirror), make the dst-clamp partial length adaptive (min(7, nfft-1)) so nfft 4
does not break the n==plen assertion, and assert IRFFT(nil) equals IRFFT of a
zero-filled spectrum bit for bit plus zero magnitude. That catches signed-zero
and stale-value regressions without the false failure a plain +0-only bit check
would give, since the odd output samples are a legitimate -0.0
(dst[2j+1] = -im*scale with im == +0).
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