|
| 1 | +#!/usr/bin/env python3 |
| 2 | +""" |
| 3 | +DeltaNet Linear Attention Example using NKIPy |
| 4 | +
|
| 5 | +DeltaNet applies the "delta rule" to linear attention, replacing the softmax |
| 6 | +with a recurrent state update that achieves O(N*D^2) complexity instead of |
| 7 | +O(N^2*D). For each timestep t: |
| 8 | +
|
| 9 | + S_t = S_{t-1} + beta_t * (v_t - S_{t-1} @ k_t) outer k_t # state update |
| 10 | + o_t = S_t @ q_t # output |
| 11 | +
|
| 12 | +This example provides: |
| 13 | +1. A PyTorch reference implementation for correctness validation |
| 14 | +2. An NKIPy kernel using pure NumPy ops (the timestep loop is unrolled at trace time) |
| 15 | +3. Optional on-device compilation and benchmarking |
| 16 | +""" |
| 17 | + |
| 18 | +import time |
| 19 | + |
| 20 | +import numpy as np |
| 21 | + |
| 22 | +try: |
| 23 | + import torch |
| 24 | + |
| 25 | + TORCH_AVAILABLE = True |
| 26 | +except ImportError: |
| 27 | + TORCH_AVAILABLE = False |
| 28 | + |
| 29 | +from nkipy.core import tensor_apis |
| 30 | +from nkipy.runtime import DeviceKernel, DeviceTensor, is_neuron_compatible |
| 31 | + |
| 32 | + |
| 33 | +def deltanet_pytorch(q, k, v, beta): |
| 34 | + """ |
| 35 | + PyTorch reference for DeltaNet recurrent linear attention. |
| 36 | +
|
| 37 | + Args: |
| 38 | + q: queries [B, H, L, D] |
| 39 | + k: keys [B, H, L, D] (will be L2-normalized) |
| 40 | + v: values [B, H, L, D] |
| 41 | + beta: gates [B, H, L] in (0, 1), post-sigmoid |
| 42 | +
|
| 43 | + Returns: |
| 44 | + output [B, H, L, D] |
| 45 | + """ |
| 46 | + B, H, L, D = q.shape |
| 47 | + |
| 48 | + # L2-normalize keys |
| 49 | + k = k / torch.clamp(torch.norm(k, dim=-1, keepdim=True), min=1e-6) |
| 50 | + |
| 51 | + S = torch.zeros(B, H, D, D, dtype=q.dtype, device=q.device) |
| 52 | + outputs = [] |
| 53 | + |
| 54 | + for t in range(L): |
| 55 | + q_t = q[:, :, t, :] # [B, H, D] |
| 56 | + k_t = k[:, :, t, :] # [B, H, D] |
| 57 | + v_t = v[:, :, t, :] # [B, H, D] |
| 58 | + beta_t = beta[:, :, t] # [B, H] |
| 59 | + |
| 60 | + # delta = beta_t * (v_t - S @ k_t) |
| 61 | + Sk = torch.einsum("bhde,bhe->bhd", S, k_t) # [B, H, D] |
| 62 | + delta = beta_t.unsqueeze(-1) * (v_t - Sk) # [B, H, D] |
| 63 | + |
| 64 | + # S += delta outer k_t |
| 65 | + S = S + torch.einsum("bhd,bhe->bhde", delta, k_t) # [B, H, D, D] |
| 66 | + |
| 67 | + # o_t = S @ q_t |
| 68 | + o_t = torch.einsum("bhde,bhe->bhd", S, q_t) # [B, H, D] |
| 69 | + outputs.append(o_t.unsqueeze(2)) |
| 70 | + |
| 71 | + return torch.cat(outputs, dim=2) # [B, H, L, D] |
| 72 | + |
| 73 | + |
| 74 | +def deltanet_nkipy(q, k, v, beta_logits): |
| 75 | + """ |
| 76 | + NKIPy kernel for DeltaNet recurrent linear attention. |
| 77 | +
|
| 78 | + Args: |
| 79 | + q: queries [B, H, L, D] float32 |
| 80 | + k: keys [B, H, L, D] float32 (will be L2-normalized) |
| 81 | + v: values [B, H, L, D] float32 |
| 82 | + beta_logits: gate logits [B, H, L] float32 (pre-sigmoid) |
| 83 | +
|
| 84 | + Returns: |
| 85 | + output [B, H, L, D] float32 |
| 86 | + """ |
| 87 | + B, H, L, D = q.shape |
| 88 | + |
| 89 | + # Sigmoid activation: beta = 1 / (1 + exp(-x)) |
| 90 | + beta = 1.0 / (1.0 + np.exp(-beta_logits)) |
| 91 | + |
| 92 | + # L2-normalize keys |
| 93 | + k_norm = np.linalg.norm(k, axis=-1, keepdims=True) |
| 94 | + k = k / np.maximum(k_norm, 1e-6) |
| 95 | + |
| 96 | + # Initialize state [B, H, D, D] |
| 97 | + # Use tensor_apis.zeros so this works during both CPU and HLO tracing |
| 98 | + S = tensor_apis.zeros((B, H, D, D), dtype=q.dtype) |
| 99 | + |
| 100 | + outputs = [] |
| 101 | + for t in range(L): |
| 102 | + q_t = q[:, :, t, :] # [B, H, D] |
| 103 | + k_t = k[:, :, t, :] # [B, H, D] |
| 104 | + v_t = v[:, :, t, :] # [B, H, D] |
| 105 | + beta_t = beta[:, :, t] # [B, H] |
| 106 | + |
| 107 | + # S @ k_t: matmul state with key vector |
| 108 | + # [B, H, D, D] @ [B, H, D, 1] -> [B, H, D, 1] -> [B, H, D] |
| 109 | + k_col = np.expand_dims(k_t, axis=-1) # [B, H, D, 1] |
| 110 | + Sk = np.matmul(S, k_col)[:, :, :, 0] # [B, H, D] |
| 111 | + |
| 112 | + # delta = beta_t * (v_t - Sk) |
| 113 | + beta_2d = np.expand_dims(beta_t, axis=-1) # [B, H, 1] |
| 114 | + delta = beta_2d * (v_t - Sk) # [B, H, D] |
| 115 | + |
| 116 | + # Batched outer product: delta outer k_t -> [B, H, D, D] |
| 117 | + outer = np.expand_dims(delta, axis=-1) * np.expand_dims(k_t, axis=-2) |
| 118 | + |
| 119 | + # State update |
| 120 | + S = S + outer |
| 121 | + |
| 122 | + # Output: S @ q_t -> [B, H, D] |
| 123 | + q_col = np.expand_dims(q_t, axis=-1) # [B, H, D, 1] |
| 124 | + o_t = np.matmul(S, q_col)[:, :, :, 0] # [B, H, D] |
| 125 | + |
| 126 | + outputs.append(np.expand_dims(o_t, axis=2)) # [B, H, 1, D] |
| 127 | + |
| 128 | + return np.concatenate(outputs, axis=2) # [B, H, L, D] |
| 129 | + |
| 130 | + |
| 131 | +def main(): |
| 132 | + print("=" * 80) |
| 133 | + print("DeltaNet Linear Attention Example") |
| 134 | + print("=" * 80) |
| 135 | + |
| 136 | + # Configuration |
| 137 | + B, H, L, D = 1, 4, 64, 32 |
| 138 | + dtype = np.float32 |
| 139 | + |
| 140 | + print(f"\nConfiguration: B={B}, H={H}, L={L}, D={D}, dtype={dtype.__name__}") |
| 141 | + |
| 142 | + # Create random inputs |
| 143 | + print("\n[1/5] Creating test data...") |
| 144 | + np.random.seed(42) |
| 145 | + q = np.random.randn(B, H, L, D).astype(dtype) * 0.1 |
| 146 | + k = np.random.randn(B, H, L, D).astype(dtype) * 0.1 |
| 147 | + v = np.random.randn(B, H, L, D).astype(dtype) * 0.1 |
| 148 | + beta_logits = np.random.randn(B, H, L).astype(dtype) # pre-sigmoid |
| 149 | + |
| 150 | + # PyTorch reference |
| 151 | + if TORCH_AVAILABLE: |
| 152 | + print("\n[2/5] Running PyTorch reference...") |
| 153 | + q_pt = torch.from_numpy(q) |
| 154 | + k_pt = torch.from_numpy(k) |
| 155 | + v_pt = torch.from_numpy(v) |
| 156 | + beta_pt = torch.sigmoid(torch.from_numpy(beta_logits)) |
| 157 | + ref_output = deltanet_pytorch(q_pt, k_pt, v_pt, beta_pt).numpy() |
| 158 | + print(f" PyTorch output shape: {ref_output.shape}") |
| 159 | + else: |
| 160 | + print("\n[2/5] PyTorch not available, skipping reference...") |
| 161 | + ref_output = None |
| 162 | + |
| 163 | + # NKIPy CPU execution (pure numpy) |
| 164 | + print("\n[3/5] Running NKIPy kernel (CPU mode)...") |
| 165 | + cpu_output = deltanet_nkipy(q, k, v, beta_logits) |
| 166 | + print(f" NKIPy CPU output shape: {cpu_output.shape}") |
| 167 | + |
| 168 | + # Compare CPU vs PyTorch |
| 169 | + if ref_output is not None: |
| 170 | + print("\n[4/5] Validating CPU correctness against PyTorch...") |
| 171 | + try: |
| 172 | + np.testing.assert_allclose(cpu_output, ref_output, rtol=1e-4, atol=1e-4) |
| 173 | + max_err = np.max(np.abs(cpu_output - ref_output)) |
| 174 | + print(f" PASSED - max absolute error: {max_err:.2e}") |
| 175 | + except AssertionError as e: |
| 176 | + print(f" FAILED: {e}") |
| 177 | + return |
| 178 | + else: |
| 179 | + print("\n[4/5] Skipping validation (no PyTorch reference)...") |
| 180 | + |
| 181 | + # On-device execution |
| 182 | + if is_neuron_compatible(): |
| 183 | + print("\n[5/5] Compiling and running on Neuron hardware...") |
| 184 | + compile_start = time.time() |
| 185 | + kernel = DeviceKernel.compile_and_load( |
| 186 | + deltanet_nkipy, |
| 187 | + q, |
| 188 | + k, |
| 189 | + v, |
| 190 | + beta_logits, |
| 191 | + name="deltanet_kernel", |
| 192 | + use_cached_if_exists=False, |
| 193 | + ) |
| 194 | + compile_time = time.time() - compile_start |
| 195 | + print(f" Compiled in {compile_time:.2f}s") |
| 196 | + |
| 197 | + # Create device tensors |
| 198 | + d_q = DeviceTensor.from_numpy(q) |
| 199 | + d_k = DeviceTensor.from_numpy(k) |
| 200 | + d_v = DeviceTensor.from_numpy(v) |
| 201 | + d_beta = DeviceTensor.from_numpy(beta_logits) |
| 202 | + d_out = DeviceTensor.from_numpy(np.zeros_like(cpu_output)) |
| 203 | + |
| 204 | + kernel( |
| 205 | + inputs={"q": d_q, "k": d_k, "v": d_v, "beta_logits": d_beta}, |
| 206 | + outputs={"output0": d_out}, |
| 207 | + ) |
| 208 | + device_output = d_out.numpy() |
| 209 | + |
| 210 | + try: |
| 211 | + np.testing.assert_allclose(device_output, cpu_output, rtol=1e-2, atol=1e-2) |
| 212 | + max_err = np.max(np.abs(device_output - cpu_output)) |
| 213 | + print(f" Device output matches CPU - max error: {max_err:.2e}") |
| 214 | + except AssertionError as e: |
| 215 | + print(f" Device validation failed: {e}") |
| 216 | + return |
| 217 | + |
| 218 | + # Benchmark |
| 219 | + stats = kernel.benchmark( |
| 220 | + inputs={"q": d_q, "k": d_k, "v": d_v, "beta_logits": d_beta}, |
| 221 | + outputs={"output0": d_out}, |
| 222 | + warmup_iter=5, |
| 223 | + benchmark_iter=10, |
| 224 | + ) |
| 225 | + print( |
| 226 | + f"\n Performance: mean={stats.mean_ms:.3f}ms, " |
| 227 | + f"min={stats.min_ms:.3f}ms, max={stats.max_ms:.3f}ms" |
| 228 | + ) |
| 229 | + else: |
| 230 | + print("\n[5/5] No Neuron hardware detected, skipping on-device execution.") |
| 231 | + |
| 232 | + print(f"\n{'=' * 80}") |
| 233 | + print("Example completed successfully!") |
| 234 | + print("=" * 80) |
| 235 | + |
| 236 | + |
| 237 | +if __name__ == "__main__": |
| 238 | + main() |
0 commit comments