File size: 22,204 Bytes
2b88d47
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
482
483
484
485
486
487
488
489
490
491
492
493
494
495
496
497
498
499
500
501
502
503
504
505
506
507
508
509
510
511
512
513
514
515
516
517
518
519
520
521
522
523
524
525
526
527
528
529
530
531
532
533
534
535
536
537
import torch
import tilelang
import tilelang.language as T
from typing import Tuple, Optional


tilelang.set_log_level("WARNING")

pass_configs = {
    tilelang.PassConfigKey.TL_DISABLE_WARP_SPECIALIZED: True,
    tilelang.PassConfigKey.TL_DISABLE_TMA_LOWER: True,
}

FP8 = "float8_e4m3"
FP4 = "float4_e2m1fn"
FE8M0 = "float8_e8m0fnu"
BF16 = "bfloat16"
FP32 = "float32"
INT32 = "int32"


def fast_log2_ceil(x):
    """Compute ceil(log2(x)) via IEEE 754 bit manipulation. Avoids slow log/ceil intrinsics."""
    bits_x = T.reinterpret("uint32", x)
    exp_x = (bits_x >> 23) & 0xFF
    man_bits = bits_x & ((1 << 23) - 1)
    return T.Cast("int32", exp_x - 127 + T.if_then_else(man_bits != 0, 1, 0))


def fast_pow2(x):
    """Compute 2^x for integer x via IEEE 754 bit manipulation."""
    bits_x = (x + 127) << 23
    return T.reinterpret("float32", bits_x)


def fast_round_scale(amax, fp8_max_inv):
    return fast_pow2(fast_log2_ceil(amax * fp8_max_inv))


@tilelang.jit(pass_configs=pass_configs)
def act_quant_kernel(
    N, block_size=128, in_dtype=BF16, out_dtype=FP8, scale_dtype=FP32,
    round_scale=False, inplace=False
):
    """Block-wise FP8 quantization. inplace=True does fused quant+dequant back to BF16."""
    M = T.symbolic("M")
    fp8_min = -448.0
    fp8_max = 448.0
    fp8_max_inv = 1 / fp8_max
    num_stages = 0 if round_scale or inplace else 2
    blk_m = 32
    group_size = block_size
    # Internal computation in FP32; scale_dtype controls output storage format.
    compute_dtype = FP32
    out_dtype = in_dtype if inplace else out_dtype

    @T.prim_func
    def act_quant_kernel_(
        X: T.Tensor[(M, N), in_dtype],
        Y: T.Tensor[(M, N), out_dtype],
        S: T.Tensor[(M, T.ceildiv(N, group_size)), scale_dtype],
    ):
        with T.Kernel(T.ceildiv(M, blk_m), T.ceildiv(N, group_size), threads=128) as (
            pid_m,
            pid_n,
        ):
            x_shared = T.alloc_shared((blk_m, group_size), in_dtype)
            x_local = T.alloc_fragment((blk_m, group_size), in_dtype)
            amax_local = T.alloc_fragment((blk_m,), compute_dtype)
            s_local = T.alloc_fragment((blk_m,), compute_dtype)
            y_local = T.alloc_fragment((blk_m, group_size), out_dtype)
            y_shared = T.alloc_shared((blk_m, group_size), out_dtype)

            for _ in T.Pipelined(1, num_stages=num_stages):
                T.copy(X[pid_m * blk_m, pid_n * group_size], x_shared)
                T.copy(x_shared, x_local)
                T.reduce_absmax(x_local, amax_local, dim=1)
                for i in T.Parallel(blk_m):
                    amax_local[i] = T.max(amax_local[i], 1e-4)
                    if round_scale:
                        s_local[i] = fast_round_scale(amax_local[i], fp8_max_inv)
                    else:
                        s_local[i] = amax_local[i] * fp8_max_inv
                if inplace:
                    for i, j in T.Parallel(blk_m, group_size):
                        y_local[i, j] = T.Cast(
                            out_dtype,
                            T.Cast(compute_dtype, T.Cast(out_dtype, T.clamp(
                                x_local[i, j] / s_local[i], fp8_min, fp8_max
                            ))) * s_local[i],
                        )
                else:
                    for i, j in T.Parallel(blk_m, group_size):
                        y_local[i, j] = T.clamp(
                            x_local[i, j] / s_local[i], fp8_min, fp8_max
                        )
                for i in T.Parallel(blk_m):
                    S[pid_m * blk_m + i, pid_n] = T.Cast(scale_dtype, s_local[i])
                T.copy(y_local, y_shared)
                T.copy(y_shared, Y[pid_m * blk_m, pid_n * group_size])

    return act_quant_kernel_


def act_quant(
    x: torch.Tensor, block_size: int = 128, scale_fmt: Optional[str] = None,
    scale_dtype: torch.dtype = torch.float32, inplace: bool = False,
) -> torch.Tensor:
    """Block-wise FP8 quantization. inplace=True does fused quant+dequant back to BF16.
    When scale_fmt is set, scales are rounded to power-of-2 (MXFP)."""
    N = x.size(-1)
    assert N % block_size == 0
    tl_dtype = FE8M0 if scale_dtype == torch.float8_e8m0fnu else FP32
    z = x.contiguous()
    y = torch.empty_like(z) if inplace else torch.empty_like(z, dtype=torch.float8_e4m3fn)
    s = z.new_empty(*z.size()[:-1], N // block_size, dtype=scale_dtype)
    kernel = act_quant_kernel(
        N, block_size, scale_dtype=tl_dtype,
        round_scale=scale_fmt is not None, inplace=inplace,
    )
    kernel(z.view(-1, N), y.view(-1, N), s.view(-1, N // block_size))
    if inplace:
        x.copy_(y)
        return x
    return y, s


@tilelang.jit(pass_configs=pass_configs)
def fp4_quant_kernel(
    N, block_size=32, in_dtype=BF16, scale_dtype=FE8M0, inplace=False
):
    """Block-wise FP4 quantization. Power-of-2 scale via bit ops. inplace=True does fused quant+dequant."""
    M = T.symbolic("M")
    fp4_max = 6.0
    fp4_max_inv = 1.0 / fp4_max
    blk_m = 32
    group_size = block_size
    compute_dtype = FP32
    out_dtype = in_dtype if inplace else FP4

    @T.prim_func
    def fp4_quant_kernel_(
        X: T.Tensor[(M, N), in_dtype],
        Y: T.Tensor[(M, N), out_dtype],
        S: T.Tensor[(M, T.ceildiv(N, group_size)), scale_dtype],
    ):
        with T.Kernel(T.ceildiv(M, blk_m), T.ceildiv(N, group_size), threads=128) as (
            pid_m,
            pid_n,
        ):
            x_shared = T.alloc_shared((blk_m, group_size), in_dtype)
            x_local = T.alloc_fragment((blk_m, group_size), in_dtype)
            amax_local = T.alloc_fragment((blk_m,), compute_dtype)
            s_local = T.alloc_fragment((blk_m,), compute_dtype)
            y_local = T.alloc_fragment((blk_m, group_size), out_dtype)
            y_shared = T.alloc_shared((blk_m, group_size), out_dtype)

            for _ in T.Pipelined(1, num_stages=2):
                T.copy(X[pid_m * blk_m, pid_n * group_size], x_shared)
                T.copy(x_shared, x_local)
                T.reduce_absmax(x_local, amax_local, dim=1)
                for i in T.Parallel(blk_m):
                    amax_local[i] = T.max(amax_local[i], 6 * (2**-126))
                    s_local[i] = fast_round_scale(amax_local[i], fp4_max_inv)
                if inplace:
                    for i, j in T.Parallel(blk_m, group_size):
                        y_local[i, j] = T.Cast(
                            out_dtype,
                            T.Cast(compute_dtype, T.Cast(FP4, T.clamp(
                                x_local[i, j] / s_local[i], -fp4_max, fp4_max
                            ))) * s_local[i],
                        )
                else:
                    for i, j in T.Parallel(blk_m, group_size):
                        y_local[i, j] = T.clamp(
                            x_local[i, j] / s_local[i], -fp4_max, fp4_max
                        )
                for i in T.Parallel(blk_m):
                    S[pid_m * blk_m + i, pid_n] = T.Cast(scale_dtype, s_local[i])
                T.copy(y_local, y_shared)
                T.copy(y_shared, Y[pid_m * blk_m, pid_n * group_size])

    return fp4_quant_kernel_


def fp4_act_quant(
    x: torch.Tensor, block_size: int = 32, inplace: bool = False,
) -> torch.Tensor:
    """Block-wise FP4 quantization. inplace=True does fused quant+dequant back to BF16."""
    N = x.size(-1)
    assert N % block_size == 0
    z = x.contiguous()
    y = torch.empty_like(z) if inplace else z.new_empty(*z.shape[:-1], N // 2, dtype=torch.float4_e2m1fn_x2)
    s = z.new_empty(*z.size()[:-1], N // block_size, dtype=torch.float8_e8m0fnu)
    kernel = fp4_quant_kernel(N, block_size, inplace=inplace)
    kernel(z.view(-1, N), y.view(-1, y.size(-1)), s.view(-1, N // block_size))
    if inplace:
        x.copy_(y)
        return x
    return y, s


@tilelang.jit(pass_configs=pass_configs)
def fp8_gemm_kernel(N, K, out_dtype=BF16, accum_dtype=FP32, scale_dtype=FP32):
    assert out_dtype in [BF16, FP32]

    M = T.symbolic("M")
    group_size = 128
    block_M = 32
    block_N = 128
    block_K = 128

    @T.prim_func
    def fp8_gemm_kernel_(
        A: T.Tensor[(M, K), FP8],
        B: T.Tensor[(N, K), FP8],
        C: T.Tensor[(M, N), out_dtype],
        scales_a: T.Tensor[(M, T.ceildiv(K, group_size)), scale_dtype],
        scales_b: T.Tensor[(T.ceildiv(N, group_size), T.ceildiv(K, group_size)), scale_dtype],
    ):
        with T.Kernel(T.ceildiv(N, block_N), T.ceildiv(M, block_M), threads=128) as (
            bx,
            by,
        ):
            A_shared = T.alloc_shared((block_M, block_K), FP8)
            B_shared = T.alloc_shared((block_N, block_K), FP8)
            C_shared = T.alloc_shared((block_M, block_N), out_dtype)
            Scale_C_shared = T.alloc_shared((block_M), FP32)
            C_local = T.alloc_fragment((block_M, block_N), accum_dtype)
            C_local_accum = T.alloc_fragment((block_M, block_N), accum_dtype)

            # Improve L2 Cache
            T.use_swizzle(panel_size=10)
            T.clear(C_local)
            T.clear(C_local_accum)

            K_iters = T.ceildiv(K, block_K)
            for k in T.Pipelined(K_iters, num_stages=4):
                T.copy(A[by * block_M, k * block_K], A_shared)
                T.copy(B[bx * block_N, k * block_K], B_shared)
                # Cast scales to FP32 for computation; scales_b has one value per block_N group
                Scale_B = T.Cast(FP32, scales_b[bx * block_N // group_size, k])
                for i in T.Parallel(block_M):
                    Scale_C_shared[i] = T.Cast(FP32, scales_a[by * block_M + i, k]) * Scale_B

                T.gemm(A_shared, B_shared, C_local, transpose_B=True)
                # Separate accumulator for scale-corrected results (2x accumulation precision)
                for i, j in T.Parallel(block_M, block_N):
                    C_local_accum[i, j] += C_local[i, j] * Scale_C_shared[i]
                T.clear(C_local)
            T.copy(C_local_accum, C_shared)
            T.copy(C_shared, C[by * block_M, bx * block_N])

    return fp8_gemm_kernel_


def fp8_gemm(
    a: torch.Tensor, a_s: torch.Tensor, b: torch.Tensor, b_s: torch.Tensor,
    scale_dtype: torch.dtype = torch.float32,
) -> torch.Tensor:
    """C[M,N] = A[M,K] @ B[N,K]^T with per-128 block FP8 scaling on both A and B."""
    assert a.is_contiguous() and b.is_contiguous(), "Input tensors must be contiguous"
    assert a_s.is_contiguous() and b_s.is_contiguous(), (
        "Scaling factor tensors must be contiguous"
    )
    tl_dtype = FE8M0 if scale_dtype == torch.float8_e8m0fnu else FP32
    K = a.size(-1)
    M = a.numel() // K
    N = b.size(0)
    c = a.new_empty(*a.size()[:-1], N, dtype=torch.get_default_dtype())
    kernel = fp8_gemm_kernel(N, K, scale_dtype=tl_dtype)
    kernel(a.view(M, K), b, c.view(M, N), a_s.view(M, -1), b_s)
    return c


@tilelang.jit(pass_configs=pass_configs)
def sparse_attn_kernel(h: int, d: int, scale=None):
    """Sparse multi-head attention via index gathering + online softmax (FlashAttention-style).
    For each (batch, seq_pos), gathers top-k KV positions by index, computes attention
    with numerically stable running max/sum, and includes a learnable attn_sink bias."""
    b = T.symbolic("b")
    m = T.symbolic("m")
    n = T.symbolic("n")
    topk = T.symbolic("topk")
    if scale is None:
        scale = (1.0 / d) ** 0.5

    num_stages = 2
    threads = 256
    block = 64
    num_blocks = tilelang.cdiv(topk, block)

    @T.prim_func
    def sparse_attn_kernel_(
        q: T.Tensor[(b, m, h, d), BF16],
        kv: T.Tensor[(b, n, d), BF16],
        o: T.Tensor[(b, m, h, d), BF16],
        attn_sink: T.Tensor[(h,), FP32],
        topk_idxs: T.Tensor[(b, m, topk), INT32],
    ):
        with T.Kernel(m, b, threads=threads) as (bx, by):
            q_shared = T.alloc_shared((h, d), BF16)
            kv_shared = T.alloc_shared((block, d), BF16)
            o_shared = T.alloc_shared((h, d), BF16)
            acc_s_cast = T.alloc_shared((h, block), BF16)

            idxs = T.alloc_fragment(block, INT32)
            acc_s = T.alloc_fragment((h, block), FP32)
            acc_o = T.alloc_fragment((h, d), FP32)
            scores_max = T.alloc_fragment(h, FP32)
            scores_max_prev = T.alloc_fragment(h, FP32)
            scores_scale = T.alloc_fragment(h, FP32)
            scores_sum = T.alloc_fragment(h, FP32)
            sum_exp = T.alloc_fragment(h, FP32)

            T.clear(acc_o)
            T.clear(sum_exp)
            T.fill(scores_max, -T.infinity(FP32))
            T.copy(q[by, bx, :, :], q_shared)

            for t in T.Pipelined(num_blocks, num_stages=num_stages):
                for i in T.Parallel(block):
                    idxs[i] = T.if_then_else(t * block + i < topk, topk_idxs[by, bx, t * block + i], -1)
                for i, j in T.Parallel(block, d):
                    kv_shared[i, j] = T.if_then_else(idxs[i] != -1, kv[by, idxs[i], j], 0)
                for i, j in T.Parallel(h, block):
                    acc_s[i, j] = T.if_then_else(idxs[j] != -1, 0, -T.infinity(FP32))
                T.gemm(q_shared, kv_shared, acc_s, transpose_B=True, policy=T.GemmWarpPolicy.FullRow)
                for i, j in T.Parallel(h, block):
                    acc_s[i, j] *= scale
                T.copy(scores_max, scores_max_prev)
                T.reduce_max(acc_s, scores_max, dim=1, clear=False)
                for i in T.Parallel(h):
                    scores_scale[i] = T.exp(scores_max_prev[i] - scores_max[i])
                for i, j in T.Parallel(h, block):
                    acc_s[i, j] = T.exp(acc_s[i, j] - scores_max[i])
                T.reduce_sum(acc_s, scores_sum, dim=1)
                for i in T.Parallel(h):
                    sum_exp[i] = sum_exp[i] * scores_scale[i] + scores_sum[i]
                T.copy(acc_s, acc_s_cast)
                for i, j in T.Parallel(h, d):
                    acc_o[i, j] *= scores_scale[i]
                T.gemm(acc_s_cast, kv_shared, acc_o, policy=T.GemmWarpPolicy.FullRow)

            for i in T.Parallel(h):
                sum_exp[i] += T.exp(attn_sink[i] - scores_max[i])
            for i, j in T.Parallel(h, d):
                acc_o[i, j] /= sum_exp[i]
            T.copy(acc_o, o_shared)
            T.copy(o_shared, o[by, bx, :, :])

    return sparse_attn_kernel_


def sparse_attn(
    q: torch.Tensor, kv: torch.Tensor, attn_sink: torch.Tensor, topk_idxs: torch.Tensor, softmax_scale: float
) -> torch.Tensor:
    b, s, h, d = q.size()
    # Pad heads to 16 for kernel efficiency (stripped after)
    if h < 16:
        q = torch.cat([q, q.new_zeros(b, s, 16 - h, d)], dim=2)
        attn_sink = torch.cat([attn_sink, attn_sink.new_zeros(16 - h)])
    o = torch.empty_like(q)
    kernel = sparse_attn_kernel(q.size(2), d, softmax_scale)
    kernel(q, kv, o, attn_sink, topk_idxs)
    if h < 16:
        o = o.narrow(2, 0, h).contiguous()
    return o


@tilelang.jit(pass_configs=pass_configs)
def hc_split_sinkhorn_kernel(hc: int, sinkhorn_iters: int, eps: float):
    n = T.symbolic("n")
    mix_hc = (2 + hc) * hc
    threads = 64

    @T.prim_func
    def hc_split_sinkhorn_kernel_(
        mixes: T.Tensor[(n, mix_hc), FP32],
        hc_scale: T.Tensor[(3,), FP32],
        hc_base: T.Tensor[(mix_hc,), FP32],
        pre: T.Tensor[(n, hc), FP32],
        post: T.Tensor[(n, hc), FP32],
        comb: T.Tensor[(n, hc, hc), FP32],
    ):
        with T.Kernel(n, threads=threads) as i:
            mixes_shared = T.alloc_shared(mix_hc, FP32)
            comb_frag = T.alloc_fragment((hc, hc), FP32)
            T.copy(mixes[i, :], mixes_shared)

            for j in T.Parallel(hc):
                pre[i, j] = T.sigmoid(mixes_shared[j] * hc_scale[0] + hc_base[j]) + eps
            for j in T.Parallel(hc):
                post[i, j] = 2 * T.sigmoid(mixes_shared[j + hc] * hc_scale[1] + hc_base[j + hc])
            for j, k in T.Parallel(hc, hc):
                comb_frag[j, k] = mixes_shared[j * hc + k + hc * 2] * hc_scale[2] + hc_base[j * hc + k + hc * 2]

            row_sum = T.alloc_fragment(hc, FP32)
            col_sum = T.alloc_fragment(hc, FP32)

            # comb = comb.softmax(-1) + eps
            row_max = T.alloc_fragment(hc, FP32)
            T.reduce_max(comb_frag, row_max, dim=1)
            for j, k in T.Parallel(hc, hc):
                comb_frag[j, k] = T.exp(comb_frag[j, k] - row_max[j])
            T.reduce_sum(comb_frag, row_sum, dim=1)
            for j, k in T.Parallel(hc, hc):
                comb_frag[j, k] = comb_frag[j, k] / row_sum[j] + eps

            # comb = comb / (comb.sum(-2) + eps)
            T.reduce_sum(comb_frag, col_sum, dim=0)
            for j, k in T.Parallel(hc, hc):
                comb_frag[j, k] = comb_frag[j, k] / (col_sum[k] + eps)

            for _ in T.serial(sinkhorn_iters - 1):
                # comb = comb / (comb.sum(-1) + eps)
                T.reduce_sum(comb_frag, row_sum, dim=1)
                for j, k in T.Parallel(hc, hc):
                    comb_frag[j, k] = comb_frag[j, k] / (row_sum[j] + eps)
                # comb = comb / (comb.sum(-2) + eps)
                T.reduce_sum(comb_frag, col_sum, dim=0)
                for j, k in T.Parallel(hc, hc):
                    comb_frag[j, k] = comb_frag[j, k] / (col_sum[k] + eps)

            T.copy(comb_frag, comb[i, :, :])

    return hc_split_sinkhorn_kernel_


def 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):
    b, s, _ = mixes.size()
    pre = mixes.new_empty(b, s, hc_mult)
    post = mixes.new_empty(b, s, hc_mult)
    comb = mixes.new_empty(b, s, hc_mult, hc_mult)
    kernel = hc_split_sinkhorn_kernel(hc_mult, sinkhorn_iters, eps)
    kernel(mixes.view(-1, (2 + hc_mult) * hc_mult), hc_scale, hc_base,
           pre.view(-1, hc_mult), post.view(-1, hc_mult), comb.view(-1, hc_mult, hc_mult))
    return pre, post, comb


@tilelang.jit(pass_configs=pass_configs)
def fp4_gemm_kernel(N, K, out_dtype=BF16, accum_dtype=FP32, scale_dtype=FP32):
    """FP8 act x FP4 weight GEMM kernel.

    C[M, N] = A_fp8[M, K] @ B_fp4[N, K]^T

    Act: 1x128 quant on K (reduce dim), FP8 with configurable scale dtype
    Weight: 1x32 quant on K (reduce dim), FP4 with E8M0 scale

    B is stored as [N, K//2] in float4_e2m1fn_x2, logical [N, K] in fp4.
    The FP4 values are packed along the K (last) dimension.

    Strategy: load FP4 sub-blocks of size [block_N, sub_K] (sub_K=32),
    cast FP4 to FP8 via float, then do FP8xFP8 GEMM.
    Apply act scale (per 128 on K) and weight scale (per 32 on K) to the accumulator.
    """
    M = T.symbolic("M")
    act_group_size = 128
    weight_group_size = 32
    block_M = 32
    block_N = 128
    block_K = 32   # matches weight_group_size for simple scale handling
    n_sub = act_group_size // block_K  # 4 sub-blocks per act scale group

    @T.prim_func
    def fp4_gemm_kernel_(
        A: T.Tensor[(M, K), FP8],
        B: T.Tensor[(N, K), FP4],
        C: T.Tensor[(M, N), out_dtype],
        scales_a: T.Tensor[(M, T.ceildiv(K, act_group_size)), scale_dtype],
        scales_b: T.Tensor[(N, T.ceildiv(K, weight_group_size)), scale_dtype],
    ):
        with T.Kernel(T.ceildiv(N, block_N), T.ceildiv(M, block_M), threads=128) as (
            bx,
            by,
        ):
            A_shared = T.alloc_shared((block_M, block_K), FP8)
            B_fp4_shared = T.alloc_shared((block_N, block_K), FP4)
            B_shared = T.alloc_shared((block_N, block_K), FP8)
            C_shared = T.alloc_shared((block_M, block_N), out_dtype)
            C_local = T.alloc_fragment((block_M, block_N), accum_dtype)
            C_local_accum = T.alloc_fragment((block_M, block_N), accum_dtype)
            scale_a_frag = T.alloc_fragment((block_M,), FP32)
            scale_b_frag = T.alloc_fragment((block_N,), FP32)

            T.use_swizzle(panel_size=10)
            T.clear(C_local)
            T.clear(C_local_accum)

            K_iters = T.ceildiv(K, block_K)
            for k in T.Pipelined(K_iters, num_stages=2):
                T.copy(A[by * block_M, k * block_K], A_shared)
                T.copy(B[bx * block_N, k * block_K], B_fp4_shared)
                # FP4->FP8 cast must go through FP32 to avoid ambiguous C++ overload
                for i, j in T.Parallel(block_N, block_K):
                    B_shared[i, j] = T.Cast(FP8, T.Cast(FP32, B_fp4_shared[i, j]))

                # Weight scale: per 32 on K, indexed by k (each k is one block_K=32)
                for i in T.Parallel(block_N):
                    scale_b_frag[i] = T.Cast(FP32, scales_b[bx * block_N + i, k])

                # Act scale: per 128 on K, indexed by k // 4
                for i in T.Parallel(block_M):
                    scale_a_frag[i] = T.Cast(FP32, scales_a[by * block_M + i, k // n_sub])

                T.gemm(A_shared, B_shared, C_local, transpose_B=True)

                for i, j in T.Parallel(block_M, block_N):
                    C_local_accum[i, j] += C_local[i, j] * scale_a_frag[i] * scale_b_frag[j]
                T.clear(C_local)

            T.copy(C_local_accum, C_shared)
            T.copy(C_shared, C[by * block_M, bx * block_N])

    return fp4_gemm_kernel_


def fp4_gemm(
    a: torch.Tensor, a_s: torch.Tensor, b: torch.Tensor, b_s: torch.Tensor,
    scale_dtype: torch.dtype = torch.float32,
) -> torch.Tensor:
    """C[M,N] = A_fp8[M,K] @ B_fp4[N,K]^T.
    A has per-128 act scale; B has per-32 E8M0 weight scale.
    B is stored as [N, K//2] in float4_e2m1fn_x2 (2 FP4 values per byte, packed along K)."""
    assert a.is_contiguous() and b.is_contiguous(), "Input tensors must be contiguous"
    assert a_s.is_contiguous() and b_s.is_contiguous(), (
        "Scaling factor tensors must be contiguous"
    )
    tl_dtype = FE8M0 if scale_dtype == torch.float8_e8m0fnu else FP32
    K = a.size(-1)
    M = a.numel() // K
    N = b.size(0)
    c = a.new_empty(*a.size()[:-1], N, dtype=torch.get_default_dtype())
    kernel = fp4_gemm_kernel(N, K, scale_dtype=tl_dtype)
    kernel(a.view(M, K), b, c.view(M, N), a_s.view(M, -1), b_s)
    return c