|
| 1 | +#!/usr/bin/env python |
| 2 | +# -*- coding: utf-8 -*- |
| 3 | +""" |
| 4 | +分析 compression branch 的 naive 和 triton 实现差异 |
| 5 | +重点关注为什么 backward dq 的值不同 |
| 6 | +""" |
| 7 | + |
| 8 | +import os |
| 9 | +import torch |
| 10 | +import triton |
| 11 | + |
| 12 | +os.environ['TRITON_F32_DEFAULT'] = 'ieee' |
| 13 | + |
| 14 | +from native_sparse_attention.ops.parallel import parallel_nsa_compression |
| 15 | +from fla.ops.utils import mean_pooling |
| 16 | + |
| 17 | + |
| 18 | +def analyze_forward_differences(): |
| 19 | + """分析 forward 的实现差异""" |
| 20 | + print("="*80) |
| 21 | + print("分析 Forward 实现差异") |
| 22 | + print("="*80) |
| 23 | + |
| 24 | + B, T, H, HQ, D = 1, 256, 4, 64, 64 |
| 25 | + block_size = 32 |
| 26 | + dtype = torch.bfloat16 |
| 27 | + scale = 0.1 |
| 28 | + |
| 29 | + torch.manual_seed(42) |
| 30 | + |
| 31 | + # 创建输入 |
| 32 | + q = torch.randn((B, T, HQ, D), dtype=dtype, device='cuda') |
| 33 | + k = torch.randn((B, T, H, D), dtype=dtype, device='cuda') |
| 34 | + v = torch.randn((B, T, H, D), dtype=dtype, device='cuda') |
| 35 | + |
| 36 | + # Compression |
| 37 | + k_cmp = mean_pooling(k, block_size, None) |
| 38 | + v_cmp = mean_pooling(v, block_size, None) |
| 39 | + |
| 40 | + print(f"\n1. 输入形状:") |
| 41 | + print(f" q: {q.shape}") |
| 42 | + print(f" k: {k.shape} -> k_cmp: {k_cmp.shape}") |
| 43 | + print(f" v: {v.shape} -> v_cmp: {v_cmp.shape}") |
| 44 | + |
| 45 | + # Triton 实现 |
| 46 | + print(f"\n2. Triton 实现 (parallel_nsa_compression):") |
| 47 | + print(f" - 使用优化的 Triton kernel") |
| 48 | + print(f" - Forward kernel: parallel_nsa_compression_fwd_kernel") |
| 49 | + print(f" - 特点:") |
| 50 | + print(f" * 在线计算 softmax (online softmax algorithm)") |
| 51 | + print(f" * 使用 log-sum-exp trick 保持数值稳定") |
| 52 | + print(f" * 分块处理,减少内存访问") |
| 53 | + |
| 54 | + o_tri, lse_tri = parallel_nsa_compression( |
| 55 | + q=q, k=k_cmp, v=v_cmp, |
| 56 | + block_size=block_size, scale=scale, offsets=None |
| 57 | + ) |
| 58 | + |
| 59 | + print(f" - 输出: o shape={o_tri.shape}, lse shape={lse_tri.shape}") |
| 60 | + print(f" - o 的范围: [{o_tri.min().item():.4f}, {o_tri.max().item():.4f}]") |
| 61 | + print(f" - lse 的范围: [{lse_tri.min().item():.4f}, {lse_tri.max().item():.4f}]") |
| 62 | + |
| 63 | + # Naive 实现 (手工实现标准attention) |
| 64 | + print(f"\n3. Naive 实现 (手工标准 attention):") |
| 65 | + print(f" - 使用 PyTorch 原生操作") |
| 66 | + print(f" - 直接计算: softmax(Q @ K^T) @ V") |
| 67 | + |
| 68 | + # 手工实现 compression attention |
| 69 | + G = HQ // H |
| 70 | + k_cmp_expanded = k_cmp.repeat_interleave(G, dim=2) # [B, C, HQ, D] |
| 71 | + v_cmp_expanded = v_cmp.repeat_interleave(G, dim=2) |
| 72 | + |
| 73 | + q_float = q.float() |
| 74 | + k_cmp_float = k_cmp_expanded.float() |
| 75 | + v_cmp_float = v_cmp_expanded.float() |
| 76 | + |
| 77 | + # 重排维度用于 attention: [B, HQ, T, D] |
| 78 | + q_attn = q_float.transpose(1, 2) # [B, HQ, T, D] |
| 79 | + k_attn = k_cmp_float.transpose(1, 2) # [B, HQ, C, D] |
| 80 | + v_attn = v_cmp_float.transpose(1, 2) # [B, HQ, C, D] |
| 81 | + |
| 82 | + # Attention scores |
| 83 | + C = k_cmp.shape[1] |
| 84 | + attn_scores = torch.matmul(q_attn * scale, k_attn.transpose(-2, -1)) # [B, HQ, T, C] |
| 85 | + |
| 86 | + # Causal mask |
| 87 | + causal_mask = ((torch.arange(T, device='cuda') - block_size + 1)[:, None] // block_size |
| 88 | + < torch.arange(C, device='cuda')[None, :]) |
| 89 | + empty_mask = causal_mask.all(-1, keepdim=True) |
| 90 | + |
| 91 | + attn_scores = attn_scores.masked_fill(causal_mask.unsqueeze(0).unsqueeze(0), float('-inf')) |
| 92 | + attn_probs = torch.softmax(attn_scores, dim=-1) |
| 93 | + attn_probs = attn_probs.masked_fill(empty_mask.unsqueeze(0).unsqueeze(0), 0.0) |
| 94 | + |
| 95 | + o_naive = torch.matmul(attn_probs, v_attn) # [B, HQ, T, D] |
| 96 | + o_naive = o_naive.transpose(1, 2).to(dtype) # [B, T, HQ, D] |
| 97 | + |
| 98 | + # LSE for naive |
| 99 | + lse_naive = torch.logsumexp(attn_scores, dim=-1).to(torch.float32) # [B, HQ, T] |
| 100 | + lse_naive = lse_naive.transpose(1, 2) # [B, T, HQ] |
| 101 | + |
| 102 | + print(f" - 输出: o shape={o_naive.shape}, lse shape={lse_naive.shape}") |
| 103 | + print(f" - o 的范围: [{o_naive.min().item():.4f}, {o_naive.max().item():.4f}]") |
| 104 | + print(f" - lse 的范围: [{lse_naive.min().item():.4f}, {lse_naive.max().item():.4f}]") |
| 105 | + |
| 106 | + # 比较 |
| 107 | + print(f"\n4. Forward 输出对比:") |
| 108 | + o_diff = (o_tri - o_naive).abs() |
| 109 | + lse_diff = (lse_tri - lse_naive).abs() |
| 110 | + |
| 111 | + print(f" - o 最大差异: {o_diff.max().item():.6f}") |
| 112 | + print(f" - o 平均差异: {o_diff.mean().item():.6f}") |
| 113 | + print(f" - o 相对误差: {(o_diff.mean() / o_naive.abs().mean()).item():.6f}") |
| 114 | + |
| 115 | + print(f" - lse 最大差异: {lse_diff.max().item():.6f}") |
| 116 | + print(f" - lse 平均差异: {lse_diff.mean().item():.6f}") |
| 117 | + |
| 118 | + return q, k_cmp, v_cmp, o_tri, o_naive, lse_tri, lse_naive |
| 119 | + |
| 120 | + |
| 121 | +def analyze_backward_differences(q, k_cmp, v_cmp, o_tri, o_naive, lse_tri, lse_naive): |
| 122 | + """分析 backward 的实现差异""" |
| 123 | + print("\n" + "="*80) |
| 124 | + print("分析 Backward 实现差异") |
| 125 | + print("="*80) |
| 126 | + |
| 127 | + B, T, HQ, D = q.shape |
| 128 | + H = k_cmp.shape[2] |
| 129 | + G = HQ // H |
| 130 | + block_size = 32 |
| 131 | + scale = 0.1 |
| 132 | + |
| 133 | + # 创建梯度输出 |
| 134 | + do = torch.randn_like(o_tri) |
| 135 | + |
| 136 | + print(f"\n1. Backward 输入:") |
| 137 | + print(f" - do shape: {do.shape}") |
| 138 | + print(f" - do 的范围: [{do.min().item():.4f}, {do.max().item():.4f}]") |
| 139 | + |
| 140 | + # Triton backward |
| 141 | + print(f"\n2. Triton Backward:") |
| 142 | + print(f" - 使用 parallel_nsa_compression_bwd_kernel_dq") |
| 143 | + print(f" - 关键步骤:") |
| 144 | + print(f" * delta = sum(do * o, dim=-1) # [B, T, HQ]") |
| 145 | + print(f" * p = exp(s - lse) # 重新计算 attention probs") |
| 146 | + print(f" * ds = p * (dp - delta)") |
| 147 | + print(f" * dq = ds @ K^T * scale") |
| 148 | + print(f" - 特点: 使用 FlashAttention-style backward") |
| 149 | + |
| 150 | + q_tri = q.clone().requires_grad_(True) |
| 151 | + k_cmp_tri = k_cmp.detach() |
| 152 | + v_cmp_tri = v_cmp.detach() |
| 153 | + |
| 154 | + o_tri_new, _ = parallel_nsa_compression( |
| 155 | + q=q_tri, k=k_cmp_tri, v=v_cmp_tri, |
| 156 | + block_size=block_size, scale=scale, offsets=None |
| 157 | + ) |
| 158 | + o_tri_new.backward(do) |
| 159 | + dq_tri = q_tri.grad.clone() |
| 160 | + |
| 161 | + print(f" - dq shape: {dq_tri.shape}") |
| 162 | + print(f" - dq 的范围: [{dq_tri.min().item():.4f}, {dq_tri.max().item():.4f}]") |
| 163 | + print(f" - dq norm: {dq_tri.norm().item():.6f}") |
| 164 | + |
| 165 | + # Naive backward |
| 166 | + print(f"\n3. Naive Backward (PyTorch autograd):") |
| 167 | + print(f" - 使用 PyTorch 自动微分") |
| 168 | + print(f" - 标准 attention backward公式") |
| 169 | + |
| 170 | + q_naive = q.clone().requires_grad_(True) |
| 171 | + k_cmp_naive = k_cmp.clone().detach() |
| 172 | + v_cmp_naive = v_cmp.clone().detach() |
| 173 | + |
| 174 | + # 重新计算 forward |
| 175 | + k_cmp_expanded = k_cmp_naive.repeat_interleave(G, dim=2) |
| 176 | + v_cmp_expanded = v_cmp_naive.repeat_interleave(G, dim=2) |
| 177 | + |
| 178 | + q_float = q_naive.float() |
| 179 | + k_float = k_cmp_expanded.float() |
| 180 | + v_float = v_cmp_expanded.float() |
| 181 | + |
| 182 | + q_attn = q_float.transpose(1, 2) |
| 183 | + k_attn = k_float.transpose(1, 2) |
| 184 | + v_attn = v_float.transpose(1, 2) |
| 185 | + |
| 186 | + C = k_cmp_naive.shape[1] |
| 187 | + attn_scores = torch.matmul(q_attn * scale, k_attn.transpose(-2, -1)) |
| 188 | + |
| 189 | + causal_mask = ((torch.arange(T, device='cuda') - block_size + 1)[:, None] // block_size |
| 190 | + < torch.arange(C, device='cuda')[None, :]) |
| 191 | + empty_mask = causal_mask.all(-1, keepdim=True) |
| 192 | + |
| 193 | + attn_scores = attn_scores.masked_fill(causal_mask.unsqueeze(0).unsqueeze(0), float('-inf')) |
| 194 | + attn_probs = torch.softmax(attn_scores, dim=-1) |
| 195 | + attn_probs = attn_probs.masked_fill(empty_mask.unsqueeze(0).unsqueeze(0), 0.0) |
| 196 | + |
| 197 | + o_naive_new = torch.matmul(attn_probs, v_attn) |
| 198 | + o_naive_new = o_naive_new.transpose(1, 2).to(q_naive.dtype) |
| 199 | + |
| 200 | + o_naive_new.backward(do) |
| 201 | + dq_naive = q_naive.grad.clone() |
| 202 | + |
| 203 | + print(f" - dq shape: {dq_naive.shape}") |
| 204 | + print(f" - dq 的范围: [{dq_naive.min().item():.4f}, {dq_naive.max().item():.4f}]") |
| 205 | + print(f" - dq norm: {dq_naive.norm().item():.6f}") |
| 206 | + |
| 207 | + # 比较 |
| 208 | + print(f"\n4. Backward dq 对比:") |
| 209 | + dq_diff = (dq_tri - dq_naive).abs() |
| 210 | + |
| 211 | + print(f" - 最大差异: {dq_diff.max().item():.6f}") |
| 212 | + print(f" - 平均差异: {dq_diff.mean().item():.6f}") |
| 213 | + print(f" - 相对误差: {(dq_diff.norm() / dq_naive.norm()).item():.6f}") |
| 214 | + print(f" - Norm 比率 (tri/naive): {(dq_tri.norm() / dq_naive.norm()).item():.6f}") |
| 215 | + |
| 216 | + # 详细分析差异来源 |
| 217 | + print(f"\n5. 差异来源分析:") |
| 218 | + print(f" 可能的原因:") |
| 219 | + print(f" a) 数值精度: Triton kernel 使用 bfloat16, naive 使用 float32") |
| 220 | + print(f" b) 计算顺序: Triton 的在线算法 vs PyTorch 的批量计算") |
| 221 | + print(f" c) Softmax 实现: FlashAttention-style vs 标准 softmax") |
| 222 | + print(f" d) 舍入误差累积: 分块计算可能导致不同的舍入模式") |
| 223 | + |
| 224 | + # 检查 attention 模式是否一致 |
| 225 | + print(f"\n6. 检查 attention 模式:") |
| 226 | + with torch.no_grad(): |
| 227 | + q_test = q.float() |
| 228 | + k_test = k_cmp_expanded.float() |
| 229 | + |
| 230 | + q_test_attn = q_test.transpose(1, 2) |
| 231 | + k_test_attn = k_test.transpose(1, 2) |
| 232 | + |
| 233 | + scores_test = torch.matmul(q_test_attn * scale, k_test_attn.transpose(-2, -1)) |
| 234 | + scores_test = scores_test.masked_fill(causal_mask.unsqueeze(0).unsqueeze(0), float('-inf')) |
| 235 | + probs_test = torch.softmax(scores_test, dim=-1) |
| 236 | + |
| 237 | + # 检查几个样本位置的 attention 分布 |
| 238 | + for t in [50, 100, 150, 200]: |
| 239 | + print(f" 位置 t={t}:") |
| 240 | + prob_sample = probs_test[0, 0, t, :t//block_size] |
| 241 | + print(f" - Top-5 attention weights: {prob_sample.topk(5)[0].cpu().numpy()}") |
| 242 | + print(f" - Entropy: {-(prob_sample * torch.log(prob_sample + 1e-10)).sum().item():.4f}") |
| 243 | + |
| 244 | + |
| 245 | +if __name__ == '__main__': |
| 246 | + q, k_cmp, v_cmp, o_tri, o_naive, lse_tri, lse_naive = analyze_forward_differences() |
| 247 | + analyze_backward_differences(q, k_cmp, v_cmp, o_tri, o_naive, lse_tri, lse_naive) |
| 248 | + |
| 249 | + print("\n" + "="*80) |
| 250 | + print("结论:") |
| 251 | + print("="*80) |
| 252 | + print("compression branch 的 backward dq 存在显著差异,主要原因可能是:") |
| 253 | + print("1. Triton kernel 的在线 softmax 算法与标准实现的数值差异") |
| 254 | + print("2. 混合精度计算带来的累积误差") |
| 255 | + print("3. 分块计算的舍入误差传播") |
| 256 | + print("\n建议检查 Triton backward kernel 的实现是否正确匹配 forward 的计算逻辑") |
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