D5b: Debug reference formula mismatch, add numerically stable merge
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@@ -123,7 +123,44 @@ def test():
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ref_output_unnorm.flatten().unsqueeze(0)
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).item()
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print(f"Reference formula check: normalized vs unnorm cos = {unnorm_vs_norm_cos:.6f}")
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assert unnorm_vs_norm_cos > 0.999, f"Reference formulas don't match: cos={unnorm_vs_norm_cos}"
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# Debug: check if the normalized and un-normalized formulas actually agree element-wise
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diff = (ref_output - ref_output_unnorm).abs()
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print(f" Max diff: {diff.max().item():.8f}")
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print(f" Mean diff: {diff.mean().item():.8f}")
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# The issue might be that lse values are large and exp(lse) overflows
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print(f" lse_comp range: [{lse_comp.min().item():.4f}, {lse_comp.max().item():.4f}]")
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print(f" lse_swa range: [{lse_swa.min().item():.4f}, {lse_swa.max().item():.4f}]")
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print(f" exp(lse_comp) range: [{exp_lse_comp.min().item():.4f}, {exp_lse_comp.max().item():.4f}]")
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print(f" exp(lse_swa) range: [{exp_lse_swa.min().item():.4f}, {exp_lse_swa.max().item():.4f}]")
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# Use numerically stable merge (subtract max lse first)
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lse_max = torch.max(lse_comp, lse_swa)
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exp_lse_comp_stable = torch.exp(lse_comp - lse_max)
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exp_lse_swa_stable = torch.exp(lse_swa - lse_max)
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numerator_stable = (exp_lse_comp_stable * o_norm_comp + exp_sink * exp_lse_swa_stable * o_norm_swa)
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denominator_stable = (exp_lse_comp_stable + exp_sink * exp_lse_swa_stable).clamp(min=1e-30)
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ref_output_stable = numerator_stable / denominator_stable
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# Un-normalized stable merge
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# o_unnorm = o_norm * exp(lse)
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# numerator = o_unnorm_comp + exp(sink) * o_unnorm_swa
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# = o_norm_comp * exp(lse_comp) + exp(sink) * o_norm_swa * exp(lse_swa)
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# denominator = exp(lse_comp) + exp(sink) * exp(lse_swa)
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# Using stable: multiply num and denom by exp(-lse_max)
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numerator_unnorm_stable = o_unnorm_comp * torch.exp(lse_comp - lse_max) + exp_sink * o_unnorm_swa * torch.exp(lse_swa - lse_max)
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denominator_unnorm_stable = (torch.exp(lse_comp - lse_max) + exp_sink * torch.exp(lse_swa - lse_max)).clamp(min=1e-30)
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ref_output_unnorm_stable = numerator_unnorm_stable / denominator_unnorm_stable
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stable_cos = torch.nn.functional.cosine_similarity(
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ref_output_stable.flatten().unsqueeze(0),
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ref_output_unnorm_stable.flatten().unsqueeze(0)
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).item()
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print(f" Stable merge cos: {stable_cos:.6f}")
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# Use the stable reference for comparison
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ref_output_final = ref_output_stable
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# === Kernel: Run FMHA twice (normalize=False) and merge ===
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stream = cuda.CUstream(torch.cuda.current_stream().cuda_stream)
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@@ -166,15 +203,15 @@ def test():
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# Compare with reference
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cos = torch.nn.functional.cosine_similarity(
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kern_output.flatten().unsqueeze(0),
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ref_output_unnorm.flatten().unsqueeze(0)
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ref_output_final.flatten().unsqueeze(0)
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).item()
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max_abs = (kern_output - ref_output_unnorm).abs().max().item()
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max_abs = (kern_output - ref_output_final).abs().max().item()
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status = "PASS" if cos >= 0.95 else "FAIL"
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print(f'\nMerge result: cos {cos:.6f} max_abs {max_abs:.4f} {status}')
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if cos < 0.95:
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print(f' kern[0,:4]={kern_output[0,:4].tolist()}')
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print(f' ref[0,:4]={ref_output_unnorm[0,:4].tolist()}')
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print(f' ref[0,:4]={ref_output_final[0,:4].tolist()}')
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# Also check individual attention passes
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cos_comp = torch.nn.functional.cosine_similarity(
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