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[msan] Approximately handle AVX Galois Field Affine Transformation (#150794)
e.g.,
<16 x i8> @llvm.x86.vgf2p8affineqb.128(<16 x i8>, <16 x i8>, i8)
<32 x i8> @llvm.x86.vgf2p8affineqb.256(<32 x i8>, <32 x i8>, i8)
<64 x i8> @llvm.x86.vgf2p8affineqb.512(<64 x i8>, <64 x i8>, i8)
Out A x b
where A and x are packed matrices, b is a vector, Out = A * x + b in
GF(2)
Multiplication in GF(2) is equivalent to bitwise AND. However, the
matrix computation also includes a parity calculation.
For the bitwise AND of bits V1 and V2, the exact shadow is:
Out_Shadow = (V1_Shadow & V2_Shadow) | (V1 & V2_Shadow) | (V1_Shadow &
V2)
We approximate the shadow of gf2p8affine using:
Out_Shadow = _mm512_gf2p8affine_epi64_epi8(x_Shadow, A_shadow, 0)
| _mm512_gf2p8affine_epi64_epi8(x, A_shadow, 0)
| _mm512_gf2p8affine_epi64_epi8(x_Shadow, A, 0)
| _mm512_set1_epi8(b_Shadow)
This approximation has false negatives: if an intermediate dot-product
contains an even number of 1's, the parity is 0.
It has no false positives.
Updates the test from #149258
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