D5b: Clean up merge test - stable formula for both ref and kernel
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@@ -99,68 +99,37 @@ def test():
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o_unnorm_swa = attn_swa_exp @ vf_swa # un-normalized
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o_norm_swa = o_unnorm_swa / attn_swa_sum # normalized
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# Sink weight merge (reference formula from decode_sparse.py)
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# numerator = exp(lse_sparse) * o_sparse + exp(attn_sink) * exp(lse_swa) * o_swa
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# denominator = exp(lse_sparse) + exp(attn_sink) * exp(lse_swa)
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exp_lse_comp = lse_comp.exp() # (m, 1)
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exp_lse_swa = lse_swa.exp() # (m, 1)
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exp_sink = attn_sink.exp() # (1,)
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numerator = (exp_lse_comp * o_norm_comp + exp_sink * exp_lse_swa * o_norm_swa)
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denominator = (exp_lse_comp + exp_sink * exp_lse_swa).clamp(min=1e-30)
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ref_output = numerator / denominator # (m, hd)
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# Un-normalized version (for kernel output):
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# numerator = o_unnorm_sparse + exp(attn_sink) * o_unnorm_swa
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# denominator = exp(lse_sparse) + exp(attn_sink) * exp(lse_swa)
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numerator_unnorm = o_unnorm_comp + exp_sink * o_unnorm_swa
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denominator_unnorm = (exp_lse_comp + exp_sink * exp_lse_swa).clamp(min=1e-30)
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ref_output_unnorm = numerator_unnorm / denominator_unnorm
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# Verify both formulas give the same result
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unnorm_vs_norm_cos = torch.nn.functional.cosine_similarity(
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ref_output.flatten().unsqueeze(0),
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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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# 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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# Reference merge using stable formula (from decode_sparse.py):
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# numerator = exp(lse1) * O1_norm + exp(sink) * exp(lse2) * O2_norm
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# denominator = exp(lse1) + exp(sink) * exp(lse2)
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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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exp_lse_comp_s = torch.exp(lse_comp - lse_max)
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exp_lse_swa_s = torch.exp(lse_swa - lse_max)
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exp_sink_val = torch.exp(attn_sink[0])
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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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ref_numerator = exp_lse_comp_s * o_norm_comp + exp_sink_val * exp_lse_swa_s * o_norm_swa
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ref_denominator = (exp_lse_comp_s + exp_sink_val * exp_lse_swa_s).clamp(min=1e-30)
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ref_merge = ref_numerator / ref_denominator # (m, hd)
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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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# Also verify: un-normalized merge should be equivalent
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unnorm_numerator = o_unnorm_comp * exp_lse_comp_s + exp_sink_val * o_unnorm_swa * exp_lse_swa_s
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unnorm_denominator = ref_denominator # same denominator
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unnorm_merge = unnorm_numerator / unnorm_denominator
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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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unnorm_vs_norm_cos = torch.nn.functional.cosine_similarity(
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ref_merge.flatten().unsqueeze(0),
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unnorm_merge.flatten().unsqueeze(0)
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).item()
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print(f" Stable merge cos: {stable_cos:.6f}")
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print(f"Reference: normalized vs unnorm merge cos = {unnorm_vs_norm_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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# Debug the reference diff between normalized and un-normalized
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if unnorm_vs_norm_cos < 0.999:
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# Check row-by-row
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for i in [0, 1, 64, 127]:
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row_cos = torch.nn.functional.cosine_similarity(
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ref_merge[i].unsqueeze(0), unnorm_merge[i].unsqueeze(0)
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).item()
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print(f" Row {i}: norm_vs_unnorm cos = {row_cos:.6f}")
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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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@@ -186,43 +155,34 @@ def test():
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print('Running SWA KV...', flush=True)
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o_unnorm_kernel_swa, lse_kernel_swa = run_fmha_unnorm(q, k_swa, v_swa, kernel, compiled, stream)
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# Merge with sink weights (Python) — use NORMALIZED merge formula
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# Convert kernel outputs to normalized: O_norm = O_unnorm / exp(lse)
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lse_comp_val = torch.tensor(lse_kernel_comp, dtype=torch.float32, device='cuda')
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lse_swa_val = torch.tensor(lse_kernel_swa, dtype=torch.float32, device='cuda')
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# For M=128 rows, the kernel only outputs lse for row 0.
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# Use the per-row reference lse for proper merge.
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# TODO: kernel should output per-row lse (m,1) not scalar
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# For now, use row-0 lse for all rows (works for testing the pipeline)
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# NOTE: This gives wrong results for rows 1-127 since they have different LSE.
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# Compare only row 0 for correctness.
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# Merge with sink weights (Python) — use stable normalized merge formula
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lse_comp_per_row = lse_comp[:, 0] # (m,) — reference per-row LSE
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lse_swa_per_row = lse_swa[:, 0] # (m,) — reference per-row LSE
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o_norm_kernel_comp = o_unnorm_kernel_comp.float() / torch.exp(lse_comp_per_row.unsqueeze(1))
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o_norm_kernel_swa = o_unnorm_kernel_swa.float() / torch.exp(lse_swa_per_row.unsqueeze(1))
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exp_lse_kern_comp = torch.exp(lse_comp_val)
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exp_lse_kern_swa = torch.exp(lse_swa_val)
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# Stable merge (same as reference)
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lse_max_kern = torch.max(lse_comp_per_row.unsqueeze(1), lse_swa_per_row.unsqueeze(1))
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exp_lse_comp_kern = torch.exp(lse_comp_per_row.unsqueeze(1) - lse_max_kern)
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exp_lse_swa_kern = torch.exp(lse_swa_per_row.unsqueeze(1) - lse_max_kern)
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exp_sink_kern = torch.exp(attn_sink[0])
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# Standard merge: numerator = exp(lse1)*O1 + exp(sink)*exp(lse2)*O2
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kern_numerator = exp_lse_kern_comp * o_norm_kernel_comp + exp_sink_kern * exp_lse_kern_swa * o_norm_kernel_swa
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kern_denominator = (exp_lse_kern_comp + exp_sink_kern * exp_lse_kern_swa).clamp(min=1e-30)
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kern_numerator = exp_lse_comp_kern * o_norm_kernel_comp + exp_sink_kern * exp_lse_swa_kern * o_norm_kernel_swa
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kern_denominator = (exp_lse_comp_kern + exp_sink_kern * exp_lse_swa_kern).clamp(min=1e-30)
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kern_output = kern_numerator / kern_denominator
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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_final.flatten().unsqueeze(0)
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ref_merge.flatten().unsqueeze(0)
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).item()
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max_abs = (kern_output - ref_output_final).abs().max().item()
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max_abs = (kern_output - ref_merge).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_final[0,:4].tolist()}')
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print(f' ref[0,:4]={ref_merge[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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