layernorm2d_fwd_kernel.hpp Source File

layernorm2d_fwd_kernel.hpp Source File#

Composable Kernel: layernorm2d_fwd_kernel.hpp Source File
layernorm2d_fwd_kernel.hpp
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1// SPDX-License-Identifier: MIT
2// Copyright (c) 2018-2025, Advanced Micro Devices, Inc. All rights reserved.
3
4#pragma once
5
6#include "ck_tile/core.hpp"
9
10namespace ck_tile {
11
12// host side args
14{
15 const void* p_x; // [m ,n], input, fp16/bf16
16 const void* p_x_residual; // [m ,n], shortcut input, prec same as input, nullptr if not used
17 const void* p_sm_scale; // [1 ,n], smooth scale input, fp32, nullptr if not used
18 const void* p_x_bias; // [1, n], bias, prec same as input
19 const void* p_gamma; // [1, n], gamma, prec same as input
20 const void* p_beta; // [1, n], beta, prec same as input
21
22 void* p_y; // [m, n], output, fp16/bf16
23 void* p_y_residual; // [m, n], shortcut output, prec same as input, nullptr if not used
24 void* p_y_scale; // [m, 1], output a dynamic quant per row, nullptr if not used
25 void* p_mean; // [m, 1], output mean, prec same as input, nullptr if not used
26 void* p_invStd; // [m, 1], output inv-stdvariance, prec same as input, nullptr if not used
27
28 float epsilon;
29
32 index_t x_stride; // x row_stride
33 index_t xr_stride; // x residule row stride
34 index_t y_stride; // y row stride
35 index_t yr_stride; // y residule row stride
36};
37
38// TODO: Extract some type to wrapper class
39template <typename Pipeline_, typename Epilogue_>
41{
44 using Problem = typename Pipeline::Problem;
45
56
57 // for simplicity, shortcut input/output type is same as X
60
61 static constexpr bool kHasGamma = !std::is_same_v<GammaDataType, null_type>;
62 static constexpr bool kHasBeta = !std::is_same_v<BetaDataType, null_type>;
63 static constexpr bool kSaveMeanInvStd = Problem::Traits::kSaveMeanInvStd;
64 static constexpr bool kSaveMean = Problem::Traits::kSaveMeanInvStd;
65 static constexpr bool kSaveInvStd = Problem::Traits::kSaveMeanInvStd;
66
67 static constexpr index_t Block_M = Problem::BlockShape::Block_M;
68 static constexpr index_t Block_N = Problem::BlockShape::Block_N;
69 static constexpr bool kPadM = false; // always no need to pad along M
70 static constexpr bool kPadN = Problem::Traits::kPadN;
71 static constexpr bool kTwoPass = Problem::Traits::kTwoPass;
72 static constexpr auto kXbias = Problem::Traits::kXbias;
73 static constexpr auto kFusedAdd = Problem::Traits::kFusedAdd;
74 static constexpr auto kFusedQuant = Problem::Traits::kFusedQuant;
75
76 static constexpr index_t ThreadPerWarp_N = Problem::BlockShape::ThreadPerWarp_N;
77 static constexpr index_t Vector_N = Problem::BlockShape::Vector_N;
78 static constexpr index_t Repeat_N = Problem::BlockShape::Repeat_N;
79 static constexpr index_t kBlockSize = Problem::BlockShape::BlockSize;
80 static constexpr auto I0 = number<0>{};
81 static constexpr auto I1 = number<1>{};
82
83 struct Kargs
84 {
85 const void* p_x; // [m ,n], input, fp16/bf16
86 const void* p_x_residual; // [m ,n], shortcut input, prec same as input, nullptr if not used
87 const void* p_sm_scale; // [1 ,n], smooth scale input, fp32, nullptr if not used
88 const void* p_x_bias; // [1, n], bias, prec same as input
89 const void* p_gamma; // [1, n], gamma, prec same as input
90 const void* p_beta; // [1, n], beta, prec same as input
91
92 void* p_y; // [m, n], output, fp16/bf16
93 void* p_y_residual; // [m, n], shortcut output, prec same as input, nullptr if not used
94 void* p_y_scale; // [m, 1], output a dynamic quant per row, nullptr if not used
95
96 void* p_mean; // [m, 1], output mean, prec same as input, nullptr if not used
97 void* p_invStd; // [m, 1], output inv-stdvariance, prec same as input, nullptr if not used
98
99 float epsilon;
100
103 index_t x_stride; // x row_stride
104 index_t xr_stride; // x residule row stride
105 index_t y_stride; // y row stride
106 index_t yr_stride; // y residule row stride
107 };
109
110 CK_TILE_HOST static constexpr Kargs MakeKargs(const Hargs& hargs)
111 {
112 return Kargs{hargs.p_x,
113 hargs.p_x_residual,
114 hargs.p_sm_scale,
115 hargs.p_x_bias,
116 hargs.p_gamma,
117 hargs.p_beta,
118 hargs.p_y,
119 hargs.p_y_residual,
120 hargs.p_y_scale,
121 hargs.p_mean,
122 hargs.p_invStd,
123 hargs.epsilon,
124 hargs.m,
125 hargs.n,
126 hargs.x_stride,
127 hargs.xr_stride,
128 hargs.y_stride,
129 hargs.yr_stride};
130 }
131
132 CK_TILE_HOST static constexpr auto GridSize(const Hargs& hargs)
133 {
134 return dim3(integer_divide_ceil(hargs.m, Block_M));
135 }
136
137 CK_TILE_HOST static constexpr auto BlockSize()
138 {
139 return is_wave32() ? Problem::BlockShape::template GetBlockSize<true>()
140 : Problem::BlockShape::template GetBlockSize<false>();
141 }
142
143 // clang-format off
144 template <typename T> struct t2s;
145 template <> struct t2s<float> { static constexpr const char * name = "fp32"; };
146 template <> struct t2s<ck_tile::fp16_t> { static constexpr const char * name = "fp16"; };
147 template <> struct t2s<ck_tile::bf16_t> { static constexpr const char * name = "bf16"; };
148 template <> struct t2s<ck_tile::fp8_t> { static constexpr const char * name = "fp8"; };
149 template <> struct t2s<ck_tile::bf8_t> { static constexpr const char * name = "bf8"; };
150 template <> struct t2s<ck_tile::int8_t> { static constexpr const char * name = "int8"; };
151 // clang-format on
152
153 // in byte
154 CK_TILE_HOST_DEVICE static constexpr index_t GetSmemSize() { return Pipeline::GetSmemSize(); }
155
156 CK_TILE_HOST static std::string GetName()
157 {
158#define _SS_ std::string
159#define _TS_ std::to_string
160 // clang-format off
161 using S_ = typename Problem::BlockShape;
162 auto surfix = [&] () {
163 std::string n;
167 if (kPadN) n += "_pn";
168 if (kSaveMeanInvStd) n += "_mv";
169 // if (kTwoPass) n += "_2p";
170 return n; }();
171
172 auto prec_str = [&] () {
173 std::string base_str = _SS_(t2s<XDataType>::name);
174 if (!std::is_same_v<XDataType, YDataType>) {
175 base_str += _SS_("_") + _SS_(t2s<YDataType>::name);
176 }
178 base_str += _SS_("_sx") + _SS_(t2s<SmoothScaleDataType>::name);
179 base_str += _SS_("_sy") + _SS_(t2s<YScaleDataType>::name);
180 }
182 base_str += _SS_("_sy") + _SS_(t2s<YScaleDataType>::name);
183 }
184 return base_str;
185 }();
186
187 return _SS_("layernorm2d_fwd_") + _SS_(prec_str) + "_" +
188 _TS_(S_::Block_M) + "x" + _TS_(S_::Block_N) + "_" + _TS_(S_::WarpPerBlock_M) + "x" + _TS_(S_::WarpPerBlock_N) + "_" +
189 _TS_(S_::Warp_M) + "x" + _TS_(S_::Warp_N) + "_" + _TS_(S_::Vector_M) + "x" + _TS_(S_::Vector_N) + "_" +
190 _SS_(Pipeline::name) + surfix;
191 // clang-format on
192#undef _SS_
193#undef _TS_
194 }
195
197 {
198 const auto iM = get_block_id() * Block_M;
199
200 const auto x_window = [&]() {
202 static_cast<const XDataType*>(kargs.p_x),
203 make_tuple(kargs.m, kargs.n),
204 make_tuple(kargs.x_stride, 1),
206 number<1>{});
207
208 // NOTE: we don't do any pad in this kernel for loading, assume that inside kernel will
209 // check the max count dynamically
210 const auto tmp2_ = pad_tensor_view(
212 return make_tile_window(
213 tmp2_, make_tuple(number<Block_M>{}, number<Block_N>{}), {iM, 0});
214 }();
215
216 const auto x_residual_window = [&]() {
219 {
221 static_cast<const XResidualDataType*>(kargs.p_x_residual),
222 make_tuple(kargs.m, kargs.n),
223 make_tuple(kargs.xr_stride, 1),
225 number<1>{});
226
227 // NOTE: we don't do any pad in this kernel for loading, assume that inside kernel
228 // will check the max count dynamically
229 const auto tmp2_ = pad_tensor_view(tmp_,
232 return make_tile_window(
233 tmp2_, make_tuple(number<Block_M>{}, number<Block_N>{}), {iM, 0});
234 }
235 else
236 {
238 }
239 }();
240
241 const auto x_bias_window = [&]() {
243 {
245 static_cast<const XBiasDataType*>(kargs.p_x_bias),
246 make_tuple(kargs.n),
247 make_tuple(1),
249 number<1>{});
250
251 const auto tmp2_ =
253
254 return make_tile_window(tmp2_, make_tuple(number<Block_N>{}), {0});
255 }
256 else
257 {
259 }
260 }();
261
262 const auto gamma_window = [&]() {
264 static_cast<const GammaDataType*>(kargs.p_gamma),
265 make_tuple(kargs.n),
266 make_tuple(1),
268 number<1>{});
269
270 const auto tmp2_ =
272
273 return make_tile_window(tmp2_, make_tuple(number<Block_N>{}), {0});
274 }();
275
276 const auto beta_window = [&]() {
278 static_cast<const BetaDataType*>(kargs.p_beta),
279 make_tuple(kargs.n),
280 make_tuple(1),
282 number<1>{});
283
284 const auto tmp2_ =
287 }();
288
289 auto y_window = [&]() {
291 static_cast<YDataType*>(kargs.p_y),
292 make_tuple(kargs.m, kargs.n),
293 make_tuple(kargs.y_stride, 1),
295 number<1>{});
296
297 auto tmp2_ = pad_tensor_view(
299 return make_tile_window(
300 tmp2_, make_tuple(number<Block_M>{}, number<Block_N>{}), {iM, 0});
301 }();
302
303 auto y_residual_window = [&]() {
305 {
307 static_cast<YResidualDataType*>(kargs.p_y_residual),
308 make_tuple(kargs.m, kargs.n),
309 make_tuple(kargs.yr_stride, 1),
311 number<1>{});
312
313 auto tmp2_ = pad_tensor_view(tmp_,
316 return make_tile_window(
317 tmp2_, make_tuple(number<Block_M>{}, number<Block_N>{}), {iM, 0});
318 }
319 else
320 {
322 }
323 }();
324
325 auto mean_window = [&]() {
326 if constexpr(kSaveMean)
327 {
328 const auto mean_m = [&]() {
329 const auto mean_dram_naive =
331 static_cast<MeanDataType*>(kargs.p_mean),
332 make_tuple(kargs.m),
333 number<1>{});
334
335 return pad_tensor_view(
336 mean_dram_naive, make_tuple(number<Block_M>{}), sequence<kPadM>{});
337 }();
338 return make_tile_window(mean_m, make_tuple(number<Block_M>{}), {iM});
339 }
340 else
342 }();
343
344 auto inv_std_window = [&]() {
345 if constexpr(kSaveInvStd)
346 {
347 const auto inv_std_m = [&]() {
348 const auto inv_std_dram_naive =
350 static_cast<InvStdDataType*>(kargs.p_invStd),
351 make_tuple(kargs.m),
352 number<1>{});
353
354 return pad_tensor_view(
355 inv_std_dram_naive, make_tuple(number<Block_M>{}), sequence<kPadM>{});
356 }();
357 return make_tile_window(inv_std_m, make_tuple(number<Block_M>{}), {iM});
358 }
359 else
361 }();
362
363 auto sm_scale_window = [&]() {
365 {
366 const auto win_ = [&]() {
368 static_cast<const SmoothScaleDataType*>(kargs.p_sm_scale),
369 make_tuple(kargs.n),
371
372 return pad_tensor_view(tmp_0_,
374 sequence<false>{}); // sm_scale no need pad
375 }();
376 return make_tile_window(win_, make_tuple(number<Block_N>{}), {0});
377 }
378 else
380 }();
381
382 auto y_scale_window = [&]() {
385 {
386 const auto win_ = [&]() {
388 static_cast<YScaleDataType*>(kargs.p_y_scale),
389 make_tuple(kargs.m),
390 number<1>{});
391
392 return pad_tensor_view(
394 }();
395 return make_tile_window(win_, make_tuple(number<Block_M>{}), {iM});
396 }
397 else
399 }();
400
401 __shared__ char smem[GetSmemSize()];
402
403 Pipeline{}(x_window,
404 x_residual_window,
405 x_bias_window,
406 gamma_window,
407 beta_window,
408 y_window,
409 y_residual_window,
410 mean_window,
411 inv_std_window,
412 sm_scale_window,
413 y_scale_window,
414 static_cast<const ComputeDataType>(kargs.epsilon),
415 kargs.n,
416 smem,
417 Epilogue{});
418 }
419};
420
421} // namespace ck_tile
#define _TS_
#define _SS_
#define CK_TILE_DEVICE
Definition config.hpp:41
#define CK_TILE_HOST
Definition config.hpp:40
#define CK_TILE_HOST_DEVICE
Definition config.hpp:42
Definition tile/core/algorithm/cluster_descriptor.hpp:13
remove_cv_t< std::remove_reference_t< T > > remove_cvref_t
Definition type_traits.hpp:21
CK_TILE_HOST_DEVICE constexpr auto make_naive_tensor_view(DataType *__restrict__ p, const tuple< Lengths... > &lengths, const tuple< Strides... > &strides, number< GuaranteedLastDimensionVectorLength >=number<-1 >{}, number< GuaranteedLastDimensionVectorStride >=number<-1 >{})
Definition tensor_view.hpp:471
@ NO_SWEEP
Definition layernorm2d_fwd_traits.hpp:41
@ SMOOTH_DYNAMIC_QUANT
Definition layernorm2d_fwd_traits.hpp:42
@ DYNAMIC_QUANT
Definition layernorm2d_fwd_traits.hpp:43
int8_t int8_t
Definition int8.hpp:20
bfloat16_t bf16_t
Definition bfloat16.hpp:113
_Float16 fp16_t
Definition half.hpp:110
@ ADD_BIAS
Definition layernorm2d_fwd_traits.hpp:14
@ NO_BIAS
Definition layernorm2d_fwd_traits.hpp:12
_BitInt(8) fp8_t
Definition float8.hpp:204
constant< v > number
Definition tile/core/numeric/integral_constant.hpp:37
CK_TILE_DEVICE constexpr auto make_tile_window(null_tensor_view, const WindowLengths &window_lengths, const multi_index< WindowLengths::size()> &, Ts &&...)
Definition null_tile_window.hpp:75
CK_TILE_HOST_DEVICE constexpr auto integer_divide_ceil(X x, Y y)
Definition tile/core/numeric/math.hpp:149
CK_TILE_HOST_DEVICE constexpr auto pad_tensor_view(const TensorView &tensor_view, const TileLengths &tile_lengths, DoPads)
Definition tensor_view.hpp:530
@ PRE_ADD_STORE
Definition layernorm2d_fwd_traits.hpp:27
@ PRE_ADD
Definition layernorm2d_fwd_traits.hpp:29
@ NO_ADD
Definition layernorm2d_fwd_traits.hpp:25
CK_TILE_DEVICE constexpr auto make_null_tile_window(const WindowLengths &window_lengths)
Definition null_tile_window.hpp:66
unsigned _BitInt(8) bf8_t
Definition float8.hpp:206
CK_TILE_DEVICE index_t get_block_id()
Definition arch.hpp:119
int32_t index_t
Definition integer.hpp:9
CK_TILE_HOST_DEVICE constexpr auto make_tuple(Xs &&... xs)
Definition tile/core/container/tuple.hpp:360
CK_TILE_HOST_DEVICE constexpr auto make_naive_tensor_view_packed(DataType *__restrict__ p, const tuple< Lengths... > &lengths, number< GuaranteedLastDimensionVectorLength >=number<-1 >{})
Definition tensor_view.hpp:494
CK_TILE_HOST bool is_wave32()
Definition arch.hpp:72
Definition layernorm2d_fwd_traits.hpp:33
Definition layernorm2d_fwd_traits.hpp:47
Definition layernorm2d_fwd_kernel.hpp:84
index_t yr_stride
Definition layernorm2d_fwd_kernel.hpp:106
void * p_y_scale
Definition layernorm2d_fwd_kernel.hpp:94
const void * p_x_bias
Definition layernorm2d_fwd_kernel.hpp:88
void * p_y_residual
Definition layernorm2d_fwd_kernel.hpp:93
const void * p_beta
Definition layernorm2d_fwd_kernel.hpp:90
index_t n
Definition layernorm2d_fwd_kernel.hpp:102
const void * p_gamma
Definition layernorm2d_fwd_kernel.hpp:89
const void * p_x
Definition layernorm2d_fwd_kernel.hpp:85
const void * p_sm_scale
Definition layernorm2d_fwd_kernel.hpp:87
void * p_invStd
Definition layernorm2d_fwd_kernel.hpp:97
index_t m
Definition layernorm2d_fwd_kernel.hpp:101
void * p_y
Definition layernorm2d_fwd_kernel.hpp:92
void * p_mean
Definition layernorm2d_fwd_kernel.hpp:96
index_t y_stride
Definition layernorm2d_fwd_kernel.hpp:105
index_t x_stride
Definition layernorm2d_fwd_kernel.hpp:103
const void * p_x_residual
Definition layernorm2d_fwd_kernel.hpp:86
index_t xr_stride
Definition layernorm2d_fwd_kernel.hpp:104
float epsilon
Definition layernorm2d_fwd_kernel.hpp:99
static constexpr const char * name
Definition layernorm2d_fwd_kernel.hpp:147
static constexpr const char * name
Definition layernorm2d_fwd_kernel.hpp:149
static constexpr const char * name
Definition layernorm2d_fwd_kernel.hpp:146
static constexpr const char * name
Definition layernorm2d_fwd_kernel.hpp:148
static constexpr const char * name
Definition layernorm2d_fwd_kernel.hpp:150
static constexpr const char * name
Definition layernorm2d_fwd_kernel.hpp:145
Definition layernorm2d_fwd_kernel.hpp:144
Definition layernorm2d_fwd_kernel.hpp:14
void * p_invStd
Definition layernorm2d_fwd_kernel.hpp:26
index_t xr_stride
Definition layernorm2d_fwd_kernel.hpp:33
index_t y_stride
Definition layernorm2d_fwd_kernel.hpp:34
index_t n
Definition layernorm2d_fwd_kernel.hpp:31
index_t m
Definition layernorm2d_fwd_kernel.hpp:30
void * p_y_residual
Definition layernorm2d_fwd_kernel.hpp:23
const void * p_x
Definition layernorm2d_fwd_kernel.hpp:15
const void * p_x_bias
Definition layernorm2d_fwd_kernel.hpp:18
float epsilon
Definition layernorm2d_fwd_kernel.hpp:28
const void * p_gamma
Definition layernorm2d_fwd_kernel.hpp:19
void * p_mean
Definition layernorm2d_fwd_kernel.hpp:25
void * p_y_scale
Definition layernorm2d_fwd_kernel.hpp:24
const void * p_beta
Definition layernorm2d_fwd_kernel.hpp:20
const void * p_x_residual
Definition layernorm2d_fwd_kernel.hpp:16
void * p_y
Definition layernorm2d_fwd_kernel.hpp:22
const void * p_sm_scale
Definition layernorm2d_fwd_kernel.hpp:17
index_t x_stride
Definition layernorm2d_fwd_kernel.hpp:32
index_t yr_stride
Definition layernorm2d_fwd_kernel.hpp:35
Definition layernorm2d_fwd_kernel.hpp:41
typename Pipeline::Problem Problem
Definition layernorm2d_fwd_kernel.hpp:44
remove_cvref_t< typename Problem::BetaDataType > BetaDataType
Definition layernorm2d_fwd_kernel.hpp:49
remove_cvref_t< Pipeline_ > Pipeline
Definition layernorm2d_fwd_kernel.hpp:42
remove_cvref_t< typename Problem::XDataType > XDataType
Definition layernorm2d_fwd_kernel.hpp:46
static constexpr bool kHasBeta
Definition layernorm2d_fwd_kernel.hpp:62
static CK_TILE_HOST constexpr auto GridSize(const Hargs &hargs)
Definition layernorm2d_fwd_kernel.hpp:132
static CK_TILE_HOST std::string GetName()
Definition layernorm2d_fwd_kernel.hpp:156
Layernorm2dFwdHostArgs Hargs
Definition layernorm2d_fwd_kernel.hpp:108
static constexpr auto kFusedAdd
Definition layernorm2d_fwd_kernel.hpp:73
static constexpr index_t Repeat_N
Definition layernorm2d_fwd_kernel.hpp:78
static constexpr index_t Block_N
Definition layernorm2d_fwd_kernel.hpp:68
remove_cvref_t< typename Problem::XBiasDataType > XBiasDataType
Definition layernorm2d_fwd_kernel.hpp:47
static constexpr auto I0
Definition layernorm2d_fwd_kernel.hpp:80
static constexpr bool kHasGamma
Definition layernorm2d_fwd_kernel.hpp:61
static constexpr index_t ThreadPerWarp_N
Definition layernorm2d_fwd_kernel.hpp:76
static CK_TILE_HOST constexpr auto BlockSize()
Definition layernorm2d_fwd_kernel.hpp:137
static constexpr bool kSaveMeanInvStd
Definition layernorm2d_fwd_kernel.hpp:63
CK_TILE_DEVICE void operator()(Kargs kargs) const
Definition layernorm2d_fwd_kernel.hpp:196
static constexpr bool kPadN
Definition layernorm2d_fwd_kernel.hpp:70
remove_cvref_t< typename Problem::ComputeDataType > ComputeDataType
Definition layernorm2d_fwd_kernel.hpp:50
remove_cvref_t< typename Problem::YScaleDataType > YScaleDataType
Definition layernorm2d_fwd_kernel.hpp:55
static constexpr index_t Vector_N
Definition layernorm2d_fwd_kernel.hpp:77
static constexpr bool kTwoPass
Definition layernorm2d_fwd_kernel.hpp:71
XDataType YResidualDataType
Definition layernorm2d_fwd_kernel.hpp:59
static constexpr auto kFusedQuant
Definition layernorm2d_fwd_kernel.hpp:74
static constexpr bool kSaveMean
Definition layernorm2d_fwd_kernel.hpp:64
remove_cvref_t< typename Problem::YDataType > YDataType
Definition layernorm2d_fwd_kernel.hpp:51
static constexpr bool kPadM
Definition layernorm2d_fwd_kernel.hpp:69
static constexpr auto kXbias
Definition layernorm2d_fwd_kernel.hpp:72
static constexpr index_t Block_M
Definition layernorm2d_fwd_kernel.hpp:67
static CK_TILE_HOST_DEVICE constexpr index_t GetSmemSize()
Definition layernorm2d_fwd_kernel.hpp:154
XDataType XResidualDataType
Definition layernorm2d_fwd_kernel.hpp:58
remove_cvref_t< typename Problem::InvStdDataType > InvStdDataType
Definition layernorm2d_fwd_kernel.hpp:53
remove_cvref_t< typename Problem::MeanDataType > MeanDataType
Definition layernorm2d_fwd_kernel.hpp:52
static constexpr bool kSaveInvStd
Definition layernorm2d_fwd_kernel.hpp:65
static constexpr index_t kBlockSize
Definition layernorm2d_fwd_kernel.hpp:79
remove_cvref_t< typename Problem::SmoothScaleDataType > SmoothScaleDataType
Definition layernorm2d_fwd_kernel.hpp:54
remove_cvref_t< Epilogue_ > Epilogue
Definition layernorm2d_fwd_kernel.hpp:43
remove_cvref_t< typename Problem::GammaDataType > GammaDataType
Definition layernorm2d_fwd_kernel.hpp:48
static constexpr auto I1
Definition layernorm2d_fwd_kernel.hpp:81
static CK_TILE_HOST constexpr Kargs MakeKargs(const Hargs &hargs)
Definition layernorm2d_fwd_kernel.hpp:110
Definition layernorm2d_fwd_traits.hpp:18
Definition tile/core/container/sequence.hpp:49