amd/DeepSeek-V4-Pro-NVFP4
2359
1import torch2import tilelang3import tilelang.language as T4from typing import Tuple, Optional5 6 7tilelang.set_log_level("WARNING")8 9pass_configs = {10 tilelang.PassConfigKey.TL_DISABLE_WARP_SPECIALIZED: True,11 tilelang.PassConfigKey.TL_DISABLE_TMA_LOWER: True,12}13 14FP8 = "float8_e4m3"15FP4 = "float4_e2m1fn"16FE8M0 = "float8_e8m0fnu"17BF16 = "bfloat16"18FP32 = "float32"19INT32 = "int32"20 21 22def fast_log2_ceil(x):23 """Compute ceil(log2(x)) via IEEE 754 bit manipulation. Avoids slow log/ceil intrinsics."""24 bits_x = T.reinterpret("uint32", x)25 exp_x = (bits_x >> 23) & 0xFF26 man_bits = bits_x & ((1 << 23) - 1)27 return T.Cast("int32", exp_x - 127 + T.if_then_else(man_bits != 0, 1, 0))28 29 30def fast_pow2(x):31 """Compute 2^x for integer x via IEEE 754 bit manipulation."""32 bits_x = (x + 127) << 2333 return T.reinterpret("float32", bits_x)34 35 36def fast_round_scale(amax, fp8_max_inv):37 return fast_pow2(fast_log2_ceil(amax * fp8_max_inv))38 39 40@tilelang.jit(pass_configs=pass_configs)41def act_quant_kernel(42 N, block_size=128, in_dtype=BF16, out_dtype=FP8, scale_dtype=FP32,43 round_scale=False, inplace=False44):45 """Block-wise FP8 quantization. inplace=True does fused quant+dequant back to BF16."""46 M = T.symbolic("M")47 fp8_min = -448.048 fp8_max = 448.049 fp8_max_inv = 1 / fp8_max50 num_stages = 0 if round_scale or inplace else 251 blk_m = 3252 group_size = block_size53 # Internal computation in FP32; scale_dtype controls output storage format.54 compute_dtype = FP3255 out_dtype = in_dtype if inplace else out_dtype56 57 @T.prim_func58 def act_quant_kernel_(59 X: T.Tensor[(M, N), in_dtype],60 Y: T.Tensor[(M, N), out_dtype],61 S: T.Tensor[(M, T.ceildiv(N, group_size)), scale_dtype],62 ):63 with T.Kernel(T.ceildiv(M, blk_m), T.ceildiv(N, group_size), threads=128) as (64 pid_m,65 pid_n,66 ):67 x_shared = T.alloc_shared((blk_m, group_size), in_dtype)68 x_local = T.alloc_fragment((blk_m, group_size), in_dtype)69 amax_local = T.alloc_fragment((blk_m,), compute_dtype)70 s_local = T.alloc_fragment((blk_m,), compute_dtype)71 y_local = T.alloc_fragment((blk_m, group_size), out_dtype)72 y_shared = T.alloc_shared((blk_m, group_size), out_dtype)73 74 for _ in T.Pipelined(1, num_stages=num_stages):75 T.copy(X[pid_m * blk_m, pid_n * group_size], x_shared)76 T.copy(x_shared, x_local)77 T.reduce_absmax(x_local, amax_local, dim=1)78 for i in T.Parallel(blk_m):79 amax_local[i] = T.max(amax_local[i], 1e-4)80 if round_scale:81 s_local[i] = fast_round_scale(amax_local[i], fp8_max_inv)82 else:83 s_local[i] = amax_local[i] * fp8_max_inv84 if inplace:85 for i, j in T.Parallel(blk_m, group_size):86 y_local[i, j] = T.Cast(87 out_dtype,88 T.Cast(compute_dtype, T.Cast(FP8, T.clamp(89 x_local[i, j] / s_local[i], fp8_min, fp8_max90 ))) * s_local[i],91 )92 else:93 for i, j in T.Parallel(blk_m, group_size):94 y_local[i, j] = T.clamp(95 x_local[i, j] / s_local[i], fp8_min, fp8_max96 )97 for i in T.Parallel(blk_m):98 S[pid_m * blk_m + i, pid_n] = T.Cast(scale_dtype, s_local[i])99 T.copy(y_local, y_shared)100 T.copy(y_shared, Y[pid_m * blk_m, pid_n * group_size])101 102 return act_quant_kernel_103 104 105def act_quant(106 x: torch.Tensor, block_size: int = 128, scale_fmt: Optional[str] = None,107 scale_dtype: torch.dtype = torch.float32, inplace: bool = False,108) -> torch.Tensor:109 """Block-wise FP8 quantization. inplace=True does fused quant+dequant back to BF16.110 When scale_fmt is set, scales are rounded to power-of-2 (MXFP)."""111 N = x.size(-1)112 assert N % block_size == 0113 tl_dtype = FE8M0 if scale_dtype == torch.float8_e8m0fnu else FP32114 z = x.contiguous()115 y = torch.empty_like(z) if inplace else torch.empty_like(z, dtype=torch.float8_e4m3fn)116 s = z.new_empty(*z.size()[:-1], N // block_size, dtype=scale_dtype)117 kernel = act_quant_kernel(118 N, block_size, scale_dtype=tl_dtype,119 round_scale=scale_fmt is not None, inplace=inplace,120 )121 kernel(z.view(-1, N), y.view(-1, N), s.view(-1, N // block_size))122 if inplace:123 x.copy_(y)124 return x125 return y, s126 127 128@tilelang.jit(pass_configs=pass_configs)129def fp4_quant_kernel(130 N, block_size=32, in_dtype=BF16, scale_dtype=FE8M0, inplace=False131):132 """Block-wise FP4 quantization. Power-of-2 scale via bit ops. inplace=True does fused quant+dequant."""133 M = T.symbolic("M")134 fp4_max = 6.0135 fp4_max_inv = 1.0 / fp4_max136 blk_m = 32137 group_size = block_size138 compute_dtype = FP32139 out_dtype = in_dtype if inplace else FP4140 141 @T.prim_func142 def fp4_quant_kernel_(143 X: T.Tensor[(M, N), in_dtype],144 Y: T.Tensor[(M, N), out_dtype],145 S: T.Tensor[(M, T.ceildiv(N, group_size)), scale_dtype],146 ):147 with T.Kernel(T.ceildiv(M, blk_m), T.ceildiv(N, group_size), threads=128) as (148 pid_m,149 pid_n,150 ):151 x_shared = T.alloc_shared((blk_m, group_size), in_dtype)152 x_local = T.alloc_fragment((blk_m, group_size), in_dtype)153 amax_local = T.alloc_fragment((blk_m,), compute_dtype)154 s_local = T.alloc_fragment((blk_m,), compute_dtype)155 y_local = T.alloc_fragment((blk_m, group_size), out_dtype)156 y_shared = T.alloc_shared((blk_m, group_size), out_dtype)157 158 for _ in T.Pipelined(1, num_stages=2):159 T.copy(X[pid_m * blk_m, pid_n * group_size], x_shared)160 T.copy(x_shared, x_local)161 T.reduce_absmax(x_local, amax_local, dim=1)162 for i in T.Parallel(blk_m):163 amax_local[i] = T.max(amax_local[i], 6 * (2**-126))164 s_local[i] = fast_round_scale(amax_local[i], fp4_max_inv)165 if inplace:166 for i, j in T.Parallel(blk_m, group_size):167 y_local[i, j] = T.Cast(168 out_dtype,169 T.Cast(compute_dtype, T.Cast(FP4, T.clamp(170 x_local[i, j] / s_local[i], -fp4_max, fp4_max171 ))) * s_local[i],172 )173 else:174 for i, j in T.Parallel(blk_m, group_size):175 y_local[i, j] = T.clamp(176 x_local[i, j] / s_local[i], -fp4_max, fp4_max177 )178 for i in T.Parallel(blk_m):179 S[pid_m * blk_m + i, pid_n] = T.Cast(scale_dtype, s_local[i])180 T.copy(y_local, y_shared)181 T.copy(y_shared, Y[pid_m * blk_m, pid_n * group_size])182 183 return fp4_quant_kernel_184 185 186def fp4_act_quant(187 x: torch.Tensor, block_size: int = 32, inplace: bool = False,188) -> torch.Tensor:189 """Block-wise FP4 quantization. inplace=True does fused quant+dequant back to BF16."""190 N = x.size(-1)191 assert N % block_size == 0192 z = x.contiguous()193 y = torch.empty_like(z) if inplace else z.new_empty(*z.shape[:-1], N // 2, dtype=torch.float4_e2m1fn_x2)194 s = z.new_empty(*z.size()[:-1], N // block_size, dtype=torch.float8_e8m0fnu)195 kernel = fp4_quant_kernel(N, block_size, inplace=inplace)196 kernel(z.view(-1, N), y.view(-1, y.size(-1)), s.view(-1, N // block_size))197 if inplace:198 x.copy_(y)199 return x200 return y, s201 202 203@tilelang.jit(pass_configs=pass_configs)204def fp8_gemm_kernel(N, K, out_dtype=BF16, accum_dtype=FP32, scale_dtype=FP32):205 assert out_dtype in [BF16, FP32]206 207 M = T.symbolic("M")208 group_size = 128209 block_M = 32210 block_N = 128211 block_K = 128212 213 @T.prim_func214 def fp8_gemm_kernel_(215 A: T.Tensor[(M, K), FP8],216 B: T.Tensor[(N, K), FP8],217 C: T.Tensor[(M, N), out_dtype],218 scales_a: T.Tensor[(M, T.ceildiv(K, group_size)), scale_dtype],219 scales_b: T.Tensor[(T.ceildiv(N, group_size), T.ceildiv(K, group_size)), scale_dtype],220 ):221 with T.Kernel(T.ceildiv(N, block_N), T.ceildiv(M, block_M), threads=128) as (222 bx,223 by,224 ):225 A_shared = T.alloc_shared((block_M, block_K), FP8)226 B_shared = T.alloc_shared((block_N, block_K), FP8)227 C_shared = T.alloc_shared((block_M, block_N), out_dtype)228 Scale_C_shared = T.alloc_shared((block_M), FP32)229 C_local = T.alloc_fragment((block_M, block_N), accum_dtype)230 C_local_accum = T.alloc_fragment((block_M, block_N), accum_dtype)231 232 # Improve L2 Cache233 T.use_swizzle(panel_size=10)234 T.clear(C_local)235 T.clear(C_local_accum)236 237 K_iters = T.ceildiv(K, block_K)238 for k in T.Pipelined(K_iters, num_stages=4):239 T.copy(A[by * block_M, k * block_K], A_shared)240 T.copy(B[bx * block_N, k * block_K], B_shared)241 # Cast scales to FP32 for computation; scales_b has one value per block_N group242 Scale_B = T.Cast(FP32, scales_b[bx * block_N // group_size, k])243 for i in T.Parallel(block_M):244 Scale_C_shared[i] = T.Cast(FP32, scales_a[by * block_M + i, k]) * Scale_B245 246 T.gemm(A_shared, B_shared, C_local, transpose_B=True)247 # Separate accumulator for scale-corrected results (2x accumulation precision)248 for i, j in T.Parallel(block_M, block_N):249 C_local_accum[i, j] += C_local[i, j] * Scale_C_shared[i]250 T.clear(C_local)251 T.copy(C_local_accum, C_shared)252 T.copy(C_shared, C[by * block_M, bx * block_N])253 254 return fp8_gemm_kernel_255 256 257def fp8_gemm(258 a: torch.Tensor, a_s: torch.Tensor, b: torch.Tensor, b_s: torch.Tensor,259 scale_dtype: torch.dtype = torch.float32,260) -> torch.Tensor:261 """C[M,N] = A[M,K] @ B[N,K]^T with per-128 block FP8 scaling on both A and B."""262 assert a.is_contiguous() and b.is_contiguous(), "Input tensors must be contiguous"263 assert a_s.is_contiguous() and b_s.is_contiguous(), (264 "Scaling factor tensors must be contiguous"265 )266 tl_dtype = FE8M0 if scale_dtype == torch.float8_e8m0fnu else FP32267 K = a.size(-1)268 M = a.numel() // K269 N = b.size(0)270 c = a.new_empty(*a.size()[:-1], N, dtype=torch.get_default_dtype())271 kernel = fp8_gemm_kernel(N, K, scale_dtype=tl_dtype)272 kernel(a.view(M, K), b, c.view(M, N), a_s.view(M, -1), b_s)273 return c274 275 276@tilelang.jit(pass_configs=pass_configs)277def sparse_attn_kernel(h: int, d: int, scale=None):278 """Sparse multi-head attention via index gathering + online softmax (FlashAttention-style).279 For each (batch, seq_pos), gathers top-k KV positions by index, computes attention280 with numerically stable running max/sum, and includes a learnable attn_sink bias."""281 b = T.symbolic("b")282 m = T.symbolic("m")283 n = T.symbolic("n")284 topk = T.symbolic("topk")285 if scale is None:286 scale = (1.0 / d) ** 0.5287 288 num_stages = 2289 threads = 256290 block = 64291 num_blocks = tilelang.cdiv(topk, block)292 293 @T.prim_func294 def sparse_attn_kernel_(295 q: T.Tensor[(b, m, h, d), BF16],296 kv: T.Tensor[(b, n, d), BF16],297 o: T.Tensor[(b, m, h, d), BF16],298 attn_sink: T.Tensor[(h,), FP32],299 topk_idxs: T.Tensor[(b, m, topk), INT32],300 ):301 with T.Kernel(m, b, threads=threads) as (bx, by):302 q_shared = T.alloc_shared((h, d), BF16)303 kv_shared = T.alloc_shared((block, d), BF16)304 o_shared = T.alloc_shared((h, d), BF16)305 acc_s_cast = T.alloc_shared((h, block), BF16)306 307 idxs = T.alloc_fragment(block, INT32)308 acc_s = T.alloc_fragment((h, block), FP32)309 acc_o = T.alloc_fragment((h, d), FP32)310 scores_max = T.alloc_fragment(h, FP32)311 scores_max_prev = T.alloc_fragment(h, FP32)312 scores_scale = T.alloc_fragment(h, FP32)313 scores_sum = T.alloc_fragment(h, FP32)314 sum_exp = T.alloc_fragment(h, FP32)315 316 T.clear(acc_o)317 T.clear(sum_exp)318 T.fill(scores_max, -T.infinity(FP32))319 T.copy(q[by, bx, :, :], q_shared)320 321 for t in T.Pipelined(num_blocks, num_stages=num_stages):322 for i in T.Parallel(block):323 idxs[i] = T.if_then_else(t * block + i < topk, topk_idxs[by, bx, t * block + i], -1)324 for i, j in T.Parallel(block, d):325 kv_shared[i, j] = T.if_then_else(idxs[i] != -1, kv[by, idxs[i], j], 0)326 for i, j in T.Parallel(h, block):327 acc_s[i, j] = T.if_then_else(idxs[j] != -1, 0, -T.infinity(FP32))328 T.gemm(q_shared, kv_shared, acc_s, transpose_B=True, policy=T.GemmWarpPolicy.FullRow)329 for i, j in T.Parallel(h, block):330 acc_s[i, j] *= scale331 T.copy(scores_max, scores_max_prev)332 T.reduce_max(acc_s, scores_max, dim=1, clear=False)333 for i in T.Parallel(h):334 scores_scale[i] = T.exp(scores_max_prev[i] - scores_max[i])335 for i, j in T.Parallel(h, block):336 acc_s[i, j] = T.exp(acc_s[i, j] - scores_max[i])337 T.reduce_sum(acc_s, scores_sum, dim=1)338 for i in T.Parallel(h):339 sum_exp[i] = sum_exp[i] * scores_scale[i] + scores_sum[i]340 T.copy(acc_s, acc_s_cast)341 for i, j in T.Parallel(h, d):342 acc_o[i, j] *= scores_scale[i]343 T.gemm(acc_s_cast, kv_shared, acc_o, policy=T.GemmWarpPolicy.FullRow)344 345 for i in T.Parallel(h):346 sum_exp[i] += T.exp(attn_sink[i] - scores_max[i])347 for i, j in T.Parallel(h, d):348 acc_o[i, j] /= sum_exp[i]349 T.copy(acc_o, o_shared)350 T.copy(o_shared, o[by, bx, :, :])351 352 return sparse_attn_kernel_353 354 355def sparse_attn(356 q: torch.Tensor, kv: torch.Tensor, attn_sink: torch.Tensor, topk_idxs: torch.Tensor, softmax_scale: float357) -> torch.Tensor:358 b, s, h, d = q.size()359 # Pad heads to 16 for kernel efficiency (stripped after)360 if h < 16:361 q = torch.cat([q, q.new_zeros(b, s, 16 - h, d)], dim=2)362 attn_sink = torch.cat([attn_sink, attn_sink.new_zeros(16 - h)])363 o = torch.empty_like(q)364 kernel = sparse_attn_kernel(q.size(2), d, softmax_scale)365 kernel(q, kv, o, attn_sink, topk_idxs)366 if h < 16:367 o = o.narrow(2, 0, h).contiguous()368 return o369 370 371@tilelang.jit(pass_configs=pass_configs)372def hc_split_sinkhorn_kernel(hc: int, sinkhorn_iters: int, eps: float):373 n = T.symbolic("n")374 mix_hc = (2 + hc) * hc375 threads = 64376 377 @T.prim_func378 def hc_split_sinkhorn_kernel_(379 mixes: T.Tensor[(n, mix_hc), FP32],380 hc_scale: T.Tensor[(3,), FP32],381 hc_base: T.Tensor[(mix_hc,), FP32],382 pre: T.Tensor[(n, hc), FP32],383 post: T.Tensor[(n, hc), FP32],384 comb: T.Tensor[(n, hc, hc), FP32],385 ):386 with T.Kernel(n, threads=threads) as i:387 mixes_shared = T.alloc_shared(mix_hc, FP32)388 comb_frag = T.alloc_fragment((hc, hc), FP32)389 T.copy(mixes[i, :], mixes_shared)390 391 for j in T.Parallel(hc):392 pre[i, j] = T.sigmoid(mixes_shared[j] * hc_scale[0] + hc_base[j]) + eps393 for j in T.Parallel(hc):394 post[i, j] = 2 * T.sigmoid(mixes_shared[j + hc] * hc_scale[1] + hc_base[j + hc])395 for j, k in T.Parallel(hc, hc):396 comb_frag[j, k] = mixes_shared[j * hc + k + hc * 2] * hc_scale[2] + hc_base[j * hc + k + hc * 2]397 398 row_sum = T.alloc_fragment(hc, FP32)399 col_sum = T.alloc_fragment(hc, FP32)400 401 # comb = comb.softmax(-1) + eps402 row_max = T.alloc_fragment(hc, FP32)403 T.reduce_max(comb_frag, row_max, dim=1)404 for j, k in T.Parallel(hc, hc):405 comb_frag[j, k] = T.exp(comb_frag[j, k] - row_max[j])406 T.reduce_sum(comb_frag, row_sum, dim=1)407 for j, k in T.Parallel(hc, hc):408 comb_frag[j, k] = comb_frag[j, k] / row_sum[j] + eps409 410 # comb = comb / (comb.sum(-2) + eps)411 T.reduce_sum(comb_frag, col_sum, dim=0)412 for j, k in T.Parallel(hc, hc):413 comb_frag[j, k] = comb_frag[j, k] / (col_sum[k] + eps)414 415 for _ in T.serial(sinkhorn_iters - 1):416 # comb = comb / (comb.sum(-1) + eps)417 T.reduce_sum(comb_frag, row_sum, dim=1)418 for j, k in T.Parallel(hc, hc):419 comb_frag[j, k] = comb_frag[j, k] / (row_sum[j] + eps)420 # comb = comb / (comb.sum(-2) + eps)421 T.reduce_sum(comb_frag, col_sum, dim=0)422 for j, k in T.Parallel(hc, hc):423 comb_frag[j, k] = comb_frag[j, k] / (col_sum[k] + eps)424 425 T.copy(comb_frag, comb[i, :, :])426 427 return hc_split_sinkhorn_kernel_428 429 430def hc_split_sinkhorn(mixes: torch.Tensor, hc_scale: torch.Tensor, hc_base: torch.Tensor, hc_mult: int = 4, sinkhorn_iters: int = 20, eps: float = 1e-6):431 b, s, _ = mixes.size()432 pre = mixes.new_empty(b, s, hc_mult)433 post = mixes.new_empty(b, s, hc_mult)434 comb = mixes.new_empty(b, s, hc_mult, hc_mult)435 kernel = hc_split_sinkhorn_kernel(hc_mult, sinkhorn_iters, eps)436 kernel(mixes.view(-1, (2 + hc_mult) * hc_mult), hc_scale, hc_base,437 pre.view(-1, hc_mult), post.view(-1, hc_mult), comb.view(-1, hc_mult, hc_mult))438 return pre, post, comb439 440 441@tilelang.jit(pass_configs=pass_configs)442def fp4_gemm_kernel(N, K, out_dtype=BF16, accum_dtype=FP32, scale_dtype=FP32):443 """FP8 act x FP4 weight GEMM kernel.444 445 C[M, N] = A_fp8[M, K] @ B_fp4[N, K]^T446 447 Act: 1x128 quant on K (reduce dim), FP8 with configurable scale dtype448 Weight: 1x32 quant on K (reduce dim), FP4 with E8M0 scale449 450 B is stored as [N, K//2] in float4_e2m1fn_x2, logical [N, K] in fp4.451 The FP4 values are packed along the K (last) dimension.452 453 Strategy: load FP4 sub-blocks of size [block_N, sub_K] (sub_K=32),454 cast FP4 to FP8 via float, then do FP8xFP8 GEMM.455 Apply act scale (per 128 on K) and weight scale (per 32 on K) to the accumulator.456 """457 M = T.symbolic("M")458 act_group_size = 128459 weight_group_size = 32460 block_M = 32461 block_N = 128462 block_K = 32 # matches weight_group_size for simple scale handling463 n_sub = act_group_size // block_K # 4 sub-blocks per act scale group464 465 @T.prim_func466 def fp4_gemm_kernel_(467 A: T.Tensor[(M, K), FP8],468 B: T.Tensor[(N, K), FP4],469 C: T.Tensor[(M, N), out_dtype],470 scales_a: T.Tensor[(M, T.ceildiv(K, act_group_size)), scale_dtype],471 scales_b: T.Tensor[(N, T.ceildiv(K, weight_group_size)), scale_dtype],472 ):473 with T.Kernel(T.ceildiv(N, block_N), T.ceildiv(M, block_M), threads=128) as (474 bx,475 by,476 ):477 A_shared = T.alloc_shared((block_M, block_K), FP8)478 B_fp4_shared = T.alloc_shared((block_N, block_K), FP4)479 B_shared = T.alloc_shared((block_N, block_K), FP8)480 C_shared = T.alloc_shared((block_M, block_N), out_dtype)481 C_local = T.alloc_fragment((block_M, block_N), accum_dtype)482 C_local_accum = T.alloc_fragment((block_M, block_N), accum_dtype)483 scale_a_frag = T.alloc_fragment((block_M,), FP32)484 scale_b_frag = T.alloc_fragment((block_N,), FP32)485 486 T.use_swizzle(panel_size=10)487 T.clear(C_local)488 T.clear(C_local_accum)489 490 K_iters = T.ceildiv(K, block_K)491 for k in T.Pipelined(K_iters, num_stages=2):492 T.copy(A[by * block_M, k * block_K], A_shared)493 T.copy(B[bx * block_N, k * block_K], B_fp4_shared)494 # FP4->FP8 cast must go through FP32 to avoid ambiguous C++ overload495 for i, j in T.Parallel(block_N, block_K):496 B_shared[i, j] = T.Cast(FP8, T.Cast(FP32, B_fp4_shared[i, j]))497 498 # Weight scale: per 32 on K, indexed by k (each k is one block_K=32)499 for i in T.Parallel(block_N):500 scale_b_frag[i] = T.Cast(FP32, scales_b[bx * block_N + i, k])501 502 # Act scale: per 128 on K, indexed by k // 4503 for i in T.Parallel(block_M):504 scale_a_frag[i] = T.Cast(FP32, scales_a[by * block_M + i, k // n_sub])505 506 T.gemm(A_shared, B_shared, C_local, transpose_B=True)507 508 for i, j in T.Parallel(block_M, block_N):509 C_local_accum[i, j] += C_local[i, j] * scale_a_frag[i] * scale_b_frag[j]510 T.clear(C_local)511 512 T.copy(C_local_accum, C_shared)513 T.copy(C_shared, C[by * block_M, bx * block_N])514 515 return fp4_gemm_kernel_516 517 518def fp4_gemm(519 a: torch.Tensor, a_s: torch.Tensor, b: torch.Tensor, b_s: torch.Tensor,520 scale_dtype: torch.dtype = torch.float32,521) -> torch.Tensor:522 """C[M,N] = A_fp8[M,K] @ B_fp4[N,K]^T.523 A has per-128 act scale; B has per-32 E8M0 weight scale.524 B is stored as [N, K//2] in float4_e2m1fn_x2 (2 FP4 values per byte, packed along K)."""525 assert a.is_contiguous() and b.is_contiguous(), "Input tensors must be contiguous"526 assert a_s.is_contiguous() and b_s.is_contiguous(), (527 "Scaling factor tensors must be contiguous"528 )529 tl_dtype = FE8M0 if scale_dtype == torch.float8_e8m0fnu else FP32530 K = a.size(-1)531 M = a.numel() // K532 N = b.size(0)533 c = a.new_empty(*a.size()[:-1], N, dtype=torch.get_default_dtype())534 kernel = fp4_gemm_kernel(N, K, scale_dtype=tl_dtype)535 kernel(a.view(M, K), b, c.view(M, N), a_s.view(M, -1), b_s)536 return c537 