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A second HIP kernel for the gate (wmma_limbs.hip, HipMember::wmma), for the gfx11 architectures: every product formed by the wavefront-of-32 16x16x16 bf16 matrix instruction, accumulated in f32, in the instruction's own operand layout; one wavefront takes sixteen pairs in seven 16-column steps. The instruction's accumulation is not exact once a negative term enters a sum. Measured on gfx1151, on the instruction alone: 1*1 + (-1)*0 returns 1 - 2^-24, 1 - 1 returns -2^-24, 128 - 64 returns 64 - 2^-17; non-negative sums are exact. The CUDA kernel's signed top limb fails the probe there. So the limbs are offset-binary (x + 2^31, all unsigned) and the kernel removes the offset in 64-bit integers: e*a = (e+2^31)(a+2^31) - 2^31(e+a) - 2^62 mod 2^64. Own implementation id (hip-wmma-limbs8/...), HipError::Unsupported for other architectures, eight mutants (nine-bit limbs, the result rows in another layout, a wrong offset correction among them). Measured on gfx1151 (silicon): hip_wmma 9/9, 66020 probe pairs, all four pins, 22 qubits, 8 of 8 mutants; hip_member 9/9 and hip_sv 3/3 unchanged. With no HIP, both suites pass over no device. CI: a step of wai-quantum-hip and its absent leg. Co-Authored-By: Claude Opus 5.5 <[email protected]> |
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