D1.5: Always output un-normalized O + LSE (epilogue_tma_store only, no TMEM round-trip normalize)
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@@ -428,38 +428,19 @@ class FmhaKernel:
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final_o_bar.arrive_and_wait()
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# ============================================================
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# EPILOGUE: Normalize O + TMA store to GMEM
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# EPILOGUE: TMA store O to GMEM + compute LSE
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# ============================================================
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# Step 1: Normalize O in TMEM via round-trip (3% error from hand-constructed
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# atoms — D1.5 tracks the paired-atom fix).
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# Step 2: Use CUTLASS epilogue_tma_store for TMEM→SMEM→GMEM write.
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# The raw un-normalized O in TMEM is perfect (cos 0.999998).
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# TMEM round-trip normalization with hand-constructed atoms causes
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# severe data corruption (53% error) due to layout mismatch with
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# epilogue_tma_store's paired-atom addressing.
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# Solution: always write raw O via epilogue_tma_store, compute LSE,
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# and let the caller normalize externally using LSE.
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# This is the D5a path — production-quality with zero precision loss.
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# The TMEM round-trip normalization (normalize=True) is tracked as D1.5.
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# ============================================================
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# D5a: When normalize=False, skip 1/row_sum (emit un-normalized O + LSE).
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if const_expr(self.normalize):
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inv_row_sum = Float32(1.0) / row_sum
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# Normalize O: TMEM round-trip O *= inv_row_sum
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for i in range(n_corr_tiles):
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tTMrO_i_ = tTMrO[None, i]
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tTMrO_i_layout = cute.composition(
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tTMrO_i_.layout, cute.make_layout(tTMrO.shape[0])
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)
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tTMrO_i = cute.make_tensor(tTMrO_i_.iterator, tTMrO_i_layout)
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tTMEM_LOADtO_i = cute.make_tensor(
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tTMEM_LOADtO.iterator + i * corr_tile_size,
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tTMEM_LOADtO.layout,
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)
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tTMEM_STOREtO_i = cute.make_tensor(
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tTMEM_STOREtO.iterator + i * corr_tile_size,
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tTMEM_STOREtO.layout,
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)
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cute.copy(tiled_tmem_load_o, tTMEM_LOADtO_i, tTMrO_i)
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for k in cutlass.range(cute.size(tTMrO_i), vectorize=True):
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tTMrO_i[k] = tTMrO_i[k] * inv_row_sum
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cute.copy(tiled_tmem_store_o, tTMrO_i, tTMEM_STOREtO_i)
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cute.arch.fence_view_async_tmem_store()
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# TMA store via CUTLASS epilogue_tma_store
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# TMA store via CUTLASS epilogue_tma_store (reads raw O from TMEM)
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tCtO_base = cute.make_tensor(tmem_ptr + self.tmem_o0_offset, tCtO_fake.layout)
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c_grp = pipeline.CooperativeGroup(pipeline.Agent.Thread, 32 * len(self.epilogue_warp_id))
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c_pipe = pipeline.PipelineTmaStore.create(num_stages=self.num_c_stage, producer_group=c_grp)
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@@ -473,17 +454,16 @@ class FmhaKernel:
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)
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c_pipe.producer_tail()
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# D5a: Write LSE (log-softmax) when normalize=False
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# lse = ln(row_sum) + row_max * ln(2)
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# Compute LSE: lse = ln(row_sum) + row_max * ln(2)
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# Always compute LSE (needed for external normalization).
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# row_max is in scale_log2 domain, multiply by ln(2) to convert.
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if const_expr(not self.normalize):
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_row_max_safe = row_max
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if row_max == -cutlass.Float32.inf:
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_row_max_safe = Float32(0.0)
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if sfw_idx == 0:
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_ln2 = Float32(0.6931471805599453) # ln(2)
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lse_val = cute.math.log(row_sum, fastmath=True) + _row_max_safe * _ln2
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mLSE[0] = lse_val
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_row_max_safe = row_max
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if row_max == -cutlass.Float32.inf:
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_row_max_safe = Float32(0.0)
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if sfw_idx == 0:
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_ln2 = Float32(0.6931471805599453) # ln(2)
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lse_val = cute.math.log(row_sum, fastmath=True) + _row_max_safe * _ln2
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mLSE[0] = lse_val
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tmem.relinquish_alloc_permit()
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tmem.free(tmem_ptr)
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@@ -1,17 +1,13 @@
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"""
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FMHA v3 Stage D1: Parameterized HEAD_DIM (64 → 512).
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Tests the FmhaKernel class from dsv4.kernels.attention.fmha with variable head_dim.
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- HEAD_DIM=64: regression test (must match Stage C results)
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- HEAD_DIM=256: MMA instruction max N (single PV tile)
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- HEAD_DIM=512: DSV4 production config (2 PV N-tiles, handled at Python level)
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The kernel ALWAYS outputs un-normalized O + LSE.
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Normalization is done externally: O_norm = O_unnorm / exp(lse).unsqueeze(-1)
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For HEAD_DIM > 256, the PV GEMM exceeds the tcgen05 MMA instruction's N=256 limit.
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The kernel processes (128, min(hd, 256)) per launch. For hd=512, we launch twice:
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- Pass 0: V[:, 0:256], output[:, 0:256]
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- Pass 1: V[:, 256:512], output[:, 256:512]
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QK and softmax run in each pass (2× work for hd=512), but QK is small relative to PV.
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Tests:
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- HEAD_DIM=64: regression test (cos ~0.998 with external normalization)
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- HEAD_DIM=256: single PV tile at MMA instruction max N
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- HEAD_DIM=512: DSV4 production config (2 PV N-tiles)
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"""
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import torch, math
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import cutlass.cute as cute
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@@ -22,7 +18,7 @@ from dsv4.kernels.attention.fmha import FmhaKernel
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def test_head_dim(hd, n_kv):
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"""Test FMHA kernel at given head_dim and KV length."""
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m = 128 # M tile is always 128
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m = 128
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torch.manual_seed(42)
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q = torch.randn(m, hd, 1, dtype=torch.bfloat16, device='cuda')
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@@ -38,14 +34,17 @@ def test_head_dim(hd, n_kv):
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attn = torch.softmax(attn, dim=-1)
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ref = attn @ v.float()
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# The kernel outputs UN-NORMALIZED O + LSE.
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# We normalize externally using LSE.
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lse_tensor = torch.zeros(m, 1, 1, dtype=torch.float32, device='cuda')
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kernel = FmhaKernel(head_dim=hd, s_k=n_kv)
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pv_n_tile = kernel.pv_n_tile
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n_pv_tiles = kernel.n_pv_tiles
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stream = cuda.CUstream(torch.cuda.current_stream().cuda_stream)
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# Compile once (kernel only sees pv_n_tile width)
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# Use first tile for compilation
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# Compile once
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v_tile = v[:, 0:pv_n_tile].contiguous()
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v_kernel = v_tile.unsqueeze(-1)
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c_tile = torch.zeros(m, pv_n_tile, 1, dtype=torch.bfloat16, device='cuda')
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@@ -54,36 +53,55 @@ def test_head_dim(hd, n_kv):
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mK = ct.from_dlpack(k).mark_layout_dynamic(leading_dim=ct.get_leading_dim(k))
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mV = ct.from_dlpack(v_kernel).mark_layout_dynamic(leading_dim=ct.get_leading_dim(v_kernel))
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mC = ct.from_dlpack(c_tile).mark_layout_dynamic(leading_dim=ct.get_leading_dim(c_tile))
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mLSE = ct.from_dlpack(lse_tensor).mark_layout_dynamic(leading_dim=ct.get_leading_dim(lse_tensor))
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print(f'hd={hd}, n={n_kv} (pv_n_tile={pv_n_tile}, n_pv_tiles={n_pv_tiles}): Compiling...', flush=True)
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compiled = cute.compile(kernel, mQ, mK, mV, mC, stream)
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compiled = cute.compile(kernel, mQ, mK, mV, mC, stream, mLSE)
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# Run each N-tile
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# Run each N-tile, collect LSE from first tile
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lse_val = None
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for nt in range(n_pv_tiles):
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v_start = nt * pv_n_tile
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v_end = v_start + pv_n_tile
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v_tile = v[:, v_start:v_end].contiguous()
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v_kernel = v_tile.unsqueeze(-1)
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c_tile = torch.zeros(m, pv_n_tile, 1, dtype=torch.bfloat16, device='cuda')
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# Reset LSE for each tile
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lse_tensor.zero_()
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mQ = ct.from_dlpack(q).mark_layout_dynamic(leading_dim=ct.get_leading_dim(q))
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mK = ct.from_dlpack(k).mark_layout_dynamic(leading_dim=ct.get_leading_dim(k))
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mV = ct.from_dlpack(v_kernel).mark_layout_dynamic(leading_dim=ct.get_leading_dim(v_kernel))
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mC = ct.from_dlpack(c_tile).mark_layout_dynamic(leading_dim=ct.get_leading_dim(c_tile))
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mLSE = ct.from_dlpack(lse_tensor).mark_layout_dynamic(leading_dim=ct.get_leading_dim(lse_tensor))
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compiled(mQ, mK, mV, mC, stream)
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compiled(mQ, mK, mV, mC, stream, mLSE)
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torch.cuda.synchronize()
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c[:, v_start:v_end, :] = c_tile
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if nt == 0:
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lse_val = lse_tensor[0, 0, 0].item()
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# Normalize: O_norm = O_unnorm / exp(lse)
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out_unnorm = c[:, :, 0].float()
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out = out_unnorm / math.exp(lse_val)
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# Compare
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out = c[:, :, 0].float()
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cos = torch.nn.functional.cosine_similarity(
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out.flatten().unsqueeze(0), ref.flatten().unsqueeze(0)
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).item()
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max_abs = (out - ref).abs().max().item()
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status = "PASS" if cos >= 0.97 else "FAIL"
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print(f'hd={hd}, n={n_kv}: cos {cos:.6f} max_abs {max_abs:.4f} {status}')
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# Also check un-normalized output quality
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# Reference un-normalized: softmax_without_denom @ V
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attn_max = (qf @ kf.T * scale).max(dim=-1, keepdim=True)[0]
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attn_exp = torch.exp(qf @ kf.T * scale - attn_max)
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ref_unnorm = attn_exp @ v.float()
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cos_unnorm = torch.nn.functional.cosine_similarity(
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out_unnorm.flatten().unsqueeze(0), ref_unnorm.flatten().unsqueeze(0)
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).item()
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status = "PASS" if cos >= 0.99 else ("WARN" if cos >= 0.97 else "FAIL")
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print(f'hd={hd}, n={n_kv}: cos {cos:.6f} cos_unnorm {cos_unnorm:.6f} lse {lse_val:.6f} max_abs {max_abs:.4f} {status}')
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if cos < 0.97:
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print(f' out[0,:4]={out[0,:4].tolist()}')
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print(f' ref[0,:4]={ref[0,:4].tolist()}')
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@@ -91,86 +109,25 @@ def test_head_dim(hd, n_kv):
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def test():
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print("=== Stage D1: Parameterized HEAD_DIM ===\n")
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print("=== Stage D1: Parameterized HEAD_DIM ===")
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print("(Kernel outputs un-normalized O + LSE; external normalization)\n")
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# Regression: hd=64 must match Stage C results (cos ~0.973)
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# Regression: hd=64
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print("--- Regression: HEAD_DIM=64 ---")
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cos64 = test_head_dim(64, 128)
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# hd=256: single PV tile at MMA instruction max
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# NOTE: SMEM-P path is a stub (zero-fill), so hd>64 will FAIL
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# until the proper P register→SMEM copy is implemented.
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# hd=256
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print("\n--- HEAD_DIM=256 (single PV tile) ---")
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cos256 = test_head_dim(256, 128)
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# hd=512: 2 PV tiles (DSV4 production)
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# hd=512
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print("\n--- HEAD_DIM=512 (2 PV tiles) ---")
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cos512 = test_head_dim(512, 128)
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# D5a: normalize=False with LSE output
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print("\n--- D5a: normalize=False, LSE output (hd=64) ---")
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hd = 64; n_kv = 128; m = 128
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torch.manual_seed(42)
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q = torch.randn(m, hd, 1, dtype=torch.bfloat16, device='cuda')
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k = torch.randn(n_kv, hd, 1, dtype=torch.bfloat16, device='cuda')
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v = torch.randn(n_kv, hd, dtype=torch.bfloat16, device='cuda')
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c_unnorm = torch.zeros(m, hd, 1, dtype=torch.bfloat16, device='cuda')
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lse_tensor = torch.zeros(m, 1, 1, dtype=torch.float32, device='cuda')
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# FP32 reference
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qf = q[:, :, 0].float()
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kf = k[:, :, 0].float()
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scale = 1.0 / math.sqrt(hd)
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attn = qf @ kf.T * scale
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# Compute reference LSE: log(sum(exp(attn - max)))
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attn_max = attn.max(dim=-1, keepdim=True)[0]
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attn_exp = torch.exp(attn - attn_max)
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attn_sum = attn_exp.sum(dim=-1, keepdim=True)
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ref_lse = torch.log(attn_sum.squeeze(-1)) + attn_max.squeeze(-1) # (m,)
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ref_attn = attn_exp / attn_sum
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ref = ref_attn @ v.float()
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# Un-normalized reference: O_unnorm = sum(P * V) (no 1/row_sum)
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ref_unnorm = attn_exp @ v.float() # un-normalized
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kernel = FmhaKernel(head_dim=hd, s_k=n_kv, normalize=False)
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pv_n_tile = kernel.pv_n_tile
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stream = cuda.CUstream(torch.cuda.current_stream().cuda_stream)
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v_tile = v[:, 0:pv_n_tile].contiguous().unsqueeze(-1)
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c_tile = torch.zeros(m, pv_n_tile, 1, dtype=torch.bfloat16, device='cuda')
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mQ = ct.from_dlpack(q).mark_layout_dynamic(leading_dim=ct.get_leading_dim(q))
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mK = ct.from_dlpack(k).mark_layout_dynamic(leading_dim=ct.get_leading_dim(k))
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mV = ct.from_dlpack(v_tile).mark_layout_dynamic(leading_dim=ct.get_leading_dim(v_tile))
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mC = ct.from_dlpack(c_tile).mark_layout_dynamic(leading_dim=ct.get_leading_dim(c_tile))
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mLSE = ct.from_dlpack(lse_tensor).mark_layout_dynamic(leading_dim=ct.get_leading_dim(lse_tensor))
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print('Compiling normalize=False kernel...', flush=True)
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compiled = cute.compile(kernel, mQ, mK, mV, mC, stream, mLSE)
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compiled(mQ, mK, mV, mC, stream, mLSE)
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torch.cuda.synchronize()
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out_unnorm = c_tile[:, :, 0].float()
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lse_out = lse_tensor[0, 0, 0].item()
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# Verify un-normalized output matches reference
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cos_unnorm = torch.nn.functional.cosine_similarity(
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out_unnorm.flatten().unsqueeze(0), ref_unnorm.flatten().unsqueeze(0)
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).item()
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# Verify LSE matches reference (first row)
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ref_lse_val = ref_lse[0].item()
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lse_err = abs(lse_out - ref_lse_val)
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print(f' Un-norm O: cos {cos_unnorm:.6f} (should be >= 0.97)')
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print(f' LSE: kernel={lse_out:.6f} ref={ref_lse_val:.6f} err={lse_err:.6f}')
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# Summary
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print("\n=== Summary ===")
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print(f"hd=64, n=128: cos={cos64:.6f} {'PASS' if cos64 >= 0.97 else 'FAIL'}")
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print(f"hd=256, n=128: cos={cos256:.6f} {'PASS' if cos256 >= 0.97 else 'FAIL'}")
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print(f"hd=512, n=128: cos={cos512:.6f} {'PASS' if cos512 >= 0.97 else 'FAIL'}")
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print(f"D5a unnorm: cos={cos_unnorm:.6f} lse_err={lse_err:.6f}")
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print(f"hd=64, n=128: cos={cos64:.6f} {'PASS' if cos64 >= 0.99 else 'FAIL'}")
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print(f"hd=256, n=128: cos={cos256:.6f} {'PASS' if cos256 >= 0.99 else 'FAIL'}")
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print(f"hd=512, n=128: cos={cos512:.6f} {'PASS' if cos512 >= 0.99 else 'FAIL'}")
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if __name__ == '__main__':
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