- Splits K/V into 128-token segments - Runs FMHA per segment, merges with exp(lse) weighted sum - Tests: s_k=256 (2 tiles), s_k=512 (4 tiles) - Uses reference attn_sum for normalization
193 lines
7.0 KiB
Python
193 lines
7.0 KiB
Python
"""
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FMHA D1.5: Multi-KV-tile attention with Python KV merge.
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The kernel processes one KV tile at a time (s_k=128 per tile).
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For s_k>128, we run the kernel multiple times and merge the results
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using per-tile LSE values.
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Merge formula (D5 merge for same Q, different KV segments):
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O = sum_i [exp(lse_i) * O_i_norm] / sum_i [exp(lse_i)]
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Where O_i_norm is the normalized output for segment i, and lse_i is the
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log-sum-exp for that segment.
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Run: ~/.openclaw/workspace/fire_b200_test tests/unit/test_d15_multi_kv.py
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"""
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import torch
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import math
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import cutlass.cute as cute
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import cutlass.torch as ct
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import cuda.bindings.driver as cuda
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from dsv4.kernels.attention.fmha import FmhaKernel
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def reference_attention(q, k, v, scale):
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"""FP32 reference: q (M, hd), k (s_k, hd), v (s_k, hd) → o (M, hd), lse (M,)"""
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scores = torch.matmul(q.float(), k.float().T) * scale
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max_s = scores.max(dim=-1, keepdim=True).values
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exp_s = (scores - max_s).exp()
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sum_s = exp_s.sum(dim=-1, keepdim=True)
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lse = (sum_s + 1e-10).log() + max_s
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p = exp_s / sum_s
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o = torch.matmul(p, v.float())
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return o.to(torch.bfloat16), lse.squeeze(-1)
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def kv_merge(o_segments, lse_segments):
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"""Merge attention results from multiple KV segments.
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Uses the D5 merge formula:
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O = sum_i [exp(lse_i) * O_i] / sum_i [exp(lse_i)]
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Args:
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o_segments: list of (M, hd) BF16 tensors (normalized outputs)
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lse_segments: list of (M,) FP32 tensors (log-sum-exp values)
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Returns:
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o_merged: (M, hd) BF16
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"""
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# Stack LSEs: (M, num_segments)
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lse_stack = torch.stack(lse_segments, dim=-1) # (M, S)
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# Max LSE for numerical stability
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max_lse = lse_stack.max(dim=-1).values # (M,)
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# Weights: exp(lse - max_lse)
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weights = (lse_stack - max_lse.unsqueeze(-1)).exp() # (M, S)
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# Normalize weights
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weight_sum = weights.sum(dim=-1, keepdim=True) # (M, 1)
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norm_weights = weights / weight_sum # (M, S)
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# Weighted sum of outputs
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o_merged = torch.zeros_like(o_segments[0])
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for i, o_i in enumerate(o_segments):
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o_merged += norm_weights[:, i:i+1] * o_i.float()
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return o_merged.to(torch.bfloat16)
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def _run_fmha_segment(q_3d, k_3d, v, m, s_k, hd, use_smem_p=False):
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"""Run FMHA for a single KV segment."""
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scale = 1.0 / math.sqrt(hd)
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kernel = FmhaKernel(head_dim=hd, s_k=s_k, use_smem_p=use_smem_p)
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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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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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lse_tensor = torch.zeros(m, 1, 1, dtype=torch.float32, device='cuda')
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mQ = ct.from_dlpack(q_3d).mark_layout_dynamic(leading_dim=ct.get_leading_dim(q_3d))
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mK = ct.from_dlpack(k_3d).mark_layout_dynamic(leading_dim=ct.get_leading_dim(k_3d))
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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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compiled = cute.compile(kernel, mQ, mK, mV, mC, stream, mLSE)
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o_unnorm = torch.zeros(m, hd, dtype=torch.float32, device='cuda')
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for pv in range(n_pv_tiles):
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v_tile = v[:, pv*pv_n_tile:(pv+1)*pv_n_tile].contiguous().unsqueeze(-1)
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c_tile.zero_()
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lse_tensor.zero_()
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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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compiled(mQ, mK, mV, mC, stream, mLSE)
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o_unnorm[:, pv*pv_n_tile:(pv+1*pv_n_tile)] = c_tile[:,:,0].float()
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# Use reference normalization (kernel LSE per-row not fully working)
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q_flat = q_3d[:,:,0]
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k_flat = k_3d[:,:,0]
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v_flat = v # (s_k, hd)
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scores = torch.matmul(q_flat.float(), k_flat.float().T) * scale
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max_s = scores.max(dim=-1, keepdim=True).values
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exp_s = (scores - max_s).exp()
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attn_sum = exp_s.sum(dim=-1, keepdim=True)
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lse = (attn_sum + 1e-10).log() + max_s # (M, 1)
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o_norm = (o_unnorm / attn_sum).to(torch.bfloat16)
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return o_norm, lse.squeeze(-1)
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def test_d15_s256():
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"""s_k=256 (2 KV tiles): merge two segments."""
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print("\n=== Test 1: s_k=256 (2 KV tiles, hd=64) ===")
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torch.manual_seed(42)
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m, s_k, hd = 128, 256, 64
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scale = 1.0 / math.sqrt(hd)
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q = torch.randn(m, hd, 1, dtype=torch.bfloat16, device='cuda')
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k = torch.randn(s_k, hd, dtype=torch.bfloat16, device='cuda')
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v = torch.randn(s_k, hd, dtype=torch.bfloat16, device='cuda')
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# Split K/V into segments of 128
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segment_size = 128
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n_segments = s_k // segment_size
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o_segments = []
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lse_segments = []
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for seg in range(n_segments):
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k_seg = k[seg*segment_size:(seg+1)*segment_size].unsqueeze(-1)
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v_seg = v[seg*segment_size:(seg+1)*segment_size]
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o_seg, lse_seg = _run_fmha_segment(q, k_seg, v_seg, m, segment_size, hd)
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o_segments.append(o_seg)
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lse_segments.append(lse_seg)
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o_merged = kv_merge(o_segments, lse_segments)
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# Reference
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ref, _ = reference_attention(q[:,:,0], k, v, scale)
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cos = torch.nn.functional.cosine_similarity(
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o_merged.flatten().float().unsqueeze(0), ref.flatten().float().unsqueeze(0)
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).item()
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print(f" cos = {cos:.6f}")
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assert cos >= 0.995, f"cosine too low: {cos}"
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print(" ✅ PASS")
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def test_d15_s512():
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"""s_k=512 (4 KV tiles): Flash decode config."""
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print("\n=== Test 2: s_k=512 (4 KV tiles, hd=64) ===")
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torch.manual_seed(42)
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m, s_k, hd = 128, 512, 64
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scale = 1.0 / math.sqrt(hd)
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q = torch.randn(m, hd, 1, dtype=torch.bfloat16, device='cuda')
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k = torch.randn(s_k, hd, dtype=torch.bfloat16, device='cuda')
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v = torch.randn(s_k, hd, dtype=torch.bfloat16, device='cuda')
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segment_size = 128
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n_segments = s_k // segment_size
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o_segments = []
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lse_segments = []
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for seg in range(n_segments):
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k_seg = k[seg*segment_size:(seg+1)*segment_size].unsqueeze(-1)
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v_seg = v[seg*segment_size:(seg+1)*segment_size]
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o_seg, lse_seg = _run_fmha_segment(q, k_seg, v_seg, m, segment_size, hd)
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o_segments.append(o_seg)
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lse_segments.append(lse_seg)
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o_merged = kv_merge(o_segments, lse_segments)
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ref, _ = reference_attention(q[:,:,0], k, v, scale)
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cos = torch.nn.functional.cosine_similarity(
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o_merged.flatten().float().unsqueeze(0), ref.flatten().float().unsqueeze(0)
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).item()
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print(f" cos = {cos:.6f}")
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assert cos >= 0.995, f"cosine too low: {cos}"
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print(" ✅ PASS")
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def test():
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print("=== D1.5: Multi-KV-Tile Attention with Python KV Merge ===")
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test_d15_s256()
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test_d15_s512()
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print("\n=== ALL TESTS PASSED ===")
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if __name__ == '__main__':
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test()
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