Austin Schuh | 9a24b37 | 2018-01-28 16:12:29 -0800 | [diff] [blame^] | 1 | /************************************************************************************************** |
| 2 | * * |
| 3 | * This file is part of BLASFEO. * |
| 4 | * * |
| 5 | * BLASFEO -- BLAS For Embedded Optimization. * |
| 6 | * Copyright (C) 2016-2017 by Gianluca Frison. * |
| 7 | * Developed at IMTEK (University of Freiburg) under the supervision of Moritz Diehl. * |
| 8 | * All rights reserved. * |
| 9 | * * |
| 10 | * HPMPC is free software; you can redistribute it and/or * |
| 11 | * modify it under the terms of the GNU Lesser General Public * |
| 12 | * License as published by the Free Software Foundation; either * |
| 13 | * version 2.1 of the License, or (at your option) any later version. * |
| 14 | * * |
| 15 | * HPMPC is distributed in the hope that it will be useful, * |
| 16 | * but WITHOUT ANY WARRANTY; without even the implied warranty of * |
| 17 | * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. * |
| 18 | * See the GNU Lesser General Public License for more details. * |
| 19 | * * |
| 20 | * You should have received a copy of the GNU Lesser General Public * |
| 21 | * License along with HPMPC; if not, write to the Free Software * |
| 22 | * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA * |
| 23 | * * |
| 24 | * Author: Gianluca Frison, giaf (at) dtu.dk * |
| 25 | * gianluca.frison (at) imtek.uni-freiburg.de * |
| 26 | * * |
| 27 | **************************************************************************************************/ |
| 28 | |
| 29 | #include <mmintrin.h> |
| 30 | #include <xmmintrin.h> // SSE |
| 31 | #include <emmintrin.h> // SSE2 |
| 32 | #include <pmmintrin.h> // SSE3 |
| 33 | #include <smmintrin.h> // SSE4 |
| 34 | #include <immintrin.h> // AVX |
| 35 | |
| 36 | |
| 37 | |
| 38 | // B is the diagonal of a matrix, beta==0.0 case |
| 39 | void kernel_dgemm_diag_right_4_a0_lib4(int kmax, double *alpha, double *A, int sda, double *B, double *D, int sdd) |
| 40 | { |
| 41 | |
| 42 | if(kmax<=0) |
| 43 | return; |
| 44 | |
| 45 | const int bs = 4; |
| 46 | |
| 47 | int k; |
| 48 | |
| 49 | __m256d |
| 50 | alpha0, |
| 51 | mask_f, |
| 52 | sign, |
| 53 | a_00, |
| 54 | b_00, b_11, b_22, b_33, |
| 55 | d_00, d_01, d_02, d_03; |
| 56 | |
| 57 | __m256i |
| 58 | mask_i; |
| 59 | |
| 60 | alpha0 = _mm256_broadcast_sd( alpha ); |
| 61 | |
| 62 | b_00 = _mm256_broadcast_sd( &B[0] ); |
| 63 | b_00 = _mm256_mul_pd( b_00, alpha0 ); |
| 64 | b_11 = _mm256_broadcast_sd( &B[1] ); |
| 65 | b_11 = _mm256_mul_pd( b_11, alpha0 ); |
| 66 | b_22 = _mm256_broadcast_sd( &B[2] ); |
| 67 | b_22 = _mm256_mul_pd( b_22, alpha0 ); |
| 68 | b_33 = _mm256_broadcast_sd( &B[3] ); |
| 69 | b_33 = _mm256_mul_pd( b_33, alpha0 ); |
| 70 | |
| 71 | for(k=0; k<kmax-3; k+=4) |
| 72 | { |
| 73 | |
| 74 | a_00 = _mm256_load_pd( &A[0] ); |
| 75 | d_00 = _mm256_mul_pd( a_00, b_00 ); |
| 76 | a_00 = _mm256_load_pd( &A[4] ); |
| 77 | d_01 = _mm256_mul_pd( a_00, b_11 ); |
| 78 | a_00 = _mm256_load_pd( &A[8] ); |
| 79 | d_02 = _mm256_mul_pd( a_00, b_22 ); |
| 80 | a_00 = _mm256_load_pd( &A[12] ); |
| 81 | d_03 = _mm256_mul_pd( a_00, b_33 ); |
| 82 | |
| 83 | _mm256_store_pd( &D[0], d_00 ); |
| 84 | _mm256_store_pd( &D[4], d_01 ); |
| 85 | _mm256_store_pd( &D[8], d_02 ); |
| 86 | _mm256_store_pd( &D[12], d_03 ); |
| 87 | |
| 88 | A += 4*sda; |
| 89 | D += 4*sdd; |
| 90 | |
| 91 | } |
| 92 | if(k<kmax) |
| 93 | { |
| 94 | |
| 95 | const double mask_f[] = {0.5, 1.5, 2.5, 3.5}; |
| 96 | double m_f = kmax-k; |
| 97 | |
| 98 | mask_i = _mm256_castpd_si256( _mm256_sub_pd( _mm256_loadu_pd( mask_f ), _mm256_broadcast_sd( &m_f ) ) ); |
| 99 | |
| 100 | a_00 = _mm256_load_pd( &A[0] ); |
| 101 | d_00 = _mm256_mul_pd( a_00, b_00 ); |
| 102 | a_00 = _mm256_load_pd( &A[4] ); |
| 103 | d_01 = _mm256_mul_pd( a_00, b_11 ); |
| 104 | a_00 = _mm256_load_pd( &A[8] ); |
| 105 | d_02 = _mm256_mul_pd( a_00, b_22 ); |
| 106 | a_00 = _mm256_load_pd( &A[12] ); |
| 107 | d_03 = _mm256_mul_pd( a_00, b_33 ); |
| 108 | |
| 109 | _mm256_maskstore_pd( &D[0], mask_i, d_00 ); |
| 110 | _mm256_maskstore_pd( &D[4], mask_i, d_01 ); |
| 111 | _mm256_maskstore_pd( &D[8], mask_i, d_02 ); |
| 112 | _mm256_maskstore_pd( &D[12], mask_i, d_03 ); |
| 113 | |
| 114 | } |
| 115 | |
| 116 | } |
| 117 | |
| 118 | |
| 119 | |
| 120 | // B is the diagonal of a matrix |
| 121 | void kernel_dgemm_diag_right_4_lib4(int kmax, double *alpha, double *A, int sda, double *B, double *beta, double *C, int sdc, double *D, int sdd) |
| 122 | { |
| 123 | |
| 124 | if(kmax<=0) |
| 125 | return; |
| 126 | |
| 127 | const int bs = 4; |
| 128 | |
| 129 | int k; |
| 130 | |
| 131 | __m256d |
| 132 | alpha0, beta0, |
| 133 | mask_f, |
| 134 | sign, |
| 135 | a_00, |
| 136 | b_00, b_11, b_22, b_33, |
| 137 | c_00, |
| 138 | d_00, d_01, d_02, d_03; |
| 139 | |
| 140 | __m256i |
| 141 | mask_i; |
| 142 | |
| 143 | alpha0 = _mm256_broadcast_sd( alpha ); |
| 144 | beta0 = _mm256_broadcast_sd( beta ); |
| 145 | |
| 146 | b_00 = _mm256_broadcast_sd( &B[0] ); |
| 147 | b_00 = _mm256_mul_pd( b_00, alpha0 ); |
| 148 | b_11 = _mm256_broadcast_sd( &B[1] ); |
| 149 | b_11 = _mm256_mul_pd( b_11, alpha0 ); |
| 150 | b_22 = _mm256_broadcast_sd( &B[2] ); |
| 151 | b_22 = _mm256_mul_pd( b_22, alpha0 ); |
| 152 | b_33 = _mm256_broadcast_sd( &B[3] ); |
| 153 | b_33 = _mm256_mul_pd( b_33, alpha0 ); |
| 154 | |
| 155 | for(k=0; k<kmax-3; k+=4) |
| 156 | { |
| 157 | |
| 158 | a_00 = _mm256_load_pd( &A[0] ); |
| 159 | d_00 = _mm256_mul_pd( a_00, b_00 ); |
| 160 | a_00 = _mm256_load_pd( &A[4] ); |
| 161 | d_01 = _mm256_mul_pd( a_00, b_11 ); |
| 162 | a_00 = _mm256_load_pd( &A[8] ); |
| 163 | d_02 = _mm256_mul_pd( a_00, b_22 ); |
| 164 | a_00 = _mm256_load_pd( &A[12] ); |
| 165 | d_03 = _mm256_mul_pd( a_00, b_33 ); |
| 166 | |
| 167 | c_00 = _mm256_load_pd( &C[0] ); |
| 168 | c_00 = _mm256_mul_pd( c_00, beta0 ); |
| 169 | d_00 = _mm256_add_pd( c_00, d_00 ); |
| 170 | c_00 = _mm256_load_pd( &C[4] ); |
| 171 | c_00 = _mm256_mul_pd( c_00, beta0 ); |
| 172 | d_01 = _mm256_add_pd( c_00, d_01 ); |
| 173 | c_00 = _mm256_load_pd( &C[8] ); |
| 174 | c_00 = _mm256_mul_pd( c_00, beta0 ); |
| 175 | d_02 = _mm256_add_pd( c_00, d_02 ); |
| 176 | c_00 = _mm256_load_pd( &C[12] ); |
| 177 | c_00 = _mm256_mul_pd( c_00, beta0 ); |
| 178 | d_03 = _mm256_add_pd( c_00, d_03 ); |
| 179 | |
| 180 | _mm256_store_pd( &D[0], d_00 ); |
| 181 | _mm256_store_pd( &D[4], d_01 ); |
| 182 | _mm256_store_pd( &D[8], d_02 ); |
| 183 | _mm256_store_pd( &D[12], d_03 ); |
| 184 | |
| 185 | A += 4*sda; |
| 186 | C += 4*sdc; |
| 187 | D += 4*sdd; |
| 188 | |
| 189 | } |
| 190 | if(k<kmax) |
| 191 | { |
| 192 | |
| 193 | const double mask_f[] = {0.5, 1.5, 2.5, 3.5}; |
| 194 | double m_f = kmax-k; |
| 195 | |
| 196 | mask_i = _mm256_castpd_si256( _mm256_sub_pd( _mm256_loadu_pd( mask_f ), _mm256_broadcast_sd( &m_f ) ) ); |
| 197 | |
| 198 | a_00 = _mm256_load_pd( &A[0] ); |
| 199 | d_00 = _mm256_mul_pd( a_00, b_00 ); |
| 200 | a_00 = _mm256_load_pd( &A[4] ); |
| 201 | d_01 = _mm256_mul_pd( a_00, b_11 ); |
| 202 | a_00 = _mm256_load_pd( &A[8] ); |
| 203 | d_02 = _mm256_mul_pd( a_00, b_22 ); |
| 204 | a_00 = _mm256_load_pd( &A[12] ); |
| 205 | d_03 = _mm256_mul_pd( a_00, b_33 ); |
| 206 | |
| 207 | c_00 = _mm256_load_pd( &C[0] ); |
| 208 | c_00 = _mm256_mul_pd( c_00, beta0 ); |
| 209 | d_00 = _mm256_add_pd( c_00, d_00 ); |
| 210 | c_00 = _mm256_load_pd( &C[4] ); |
| 211 | c_00 = _mm256_mul_pd( c_00, beta0 ); |
| 212 | d_01 = _mm256_add_pd( c_00, d_01 ); |
| 213 | c_00 = _mm256_load_pd( &C[8] ); |
| 214 | c_00 = _mm256_mul_pd( c_00, beta0 ); |
| 215 | d_02 = _mm256_add_pd( c_00, d_02 ); |
| 216 | c_00 = _mm256_load_pd( &C[12] ); |
| 217 | c_00 = _mm256_mul_pd( c_00, beta0 ); |
| 218 | d_03 = _mm256_add_pd( c_00, d_03 ); |
| 219 | |
| 220 | _mm256_maskstore_pd( &D[0], mask_i, d_00 ); |
| 221 | _mm256_maskstore_pd( &D[4], mask_i, d_01 ); |
| 222 | _mm256_maskstore_pd( &D[8], mask_i, d_02 ); |
| 223 | _mm256_maskstore_pd( &D[12], mask_i, d_03 ); |
| 224 | |
| 225 | } |
| 226 | |
| 227 | } |
| 228 | |
| 229 | |
| 230 | |
| 231 | // B is the diagonal of a matrix |
| 232 | void kernel_dgemm_diag_right_3_lib4(int kmax, double *alpha, double *A, int sda, double *B, double *beta, double *C, int sdc, double *D, int sdd) |
| 233 | { |
| 234 | |
| 235 | if(kmax<=0) |
| 236 | return; |
| 237 | |
| 238 | const int bs = 4; |
| 239 | |
| 240 | int k; |
| 241 | |
| 242 | __m256d |
| 243 | alpha0, beta0, |
| 244 | mask_f, |
| 245 | sign, |
| 246 | a_00, |
| 247 | b_00, b_11, b_22, |
| 248 | c_00, |
| 249 | d_00, d_01, d_02; |
| 250 | |
| 251 | __m256i |
| 252 | mask_i; |
| 253 | |
| 254 | alpha0 = _mm256_broadcast_sd( alpha ); |
| 255 | beta0 = _mm256_broadcast_sd( beta ); |
| 256 | |
| 257 | b_00 = _mm256_broadcast_sd( &B[0] ); |
| 258 | b_00 = _mm256_mul_pd( b_00, alpha0 ); |
| 259 | b_11 = _mm256_broadcast_sd( &B[1] ); |
| 260 | b_11 = _mm256_mul_pd( b_11, alpha0 ); |
| 261 | b_22 = _mm256_broadcast_sd( &B[2] ); |
| 262 | b_22 = _mm256_mul_pd( b_22, alpha0 ); |
| 263 | |
| 264 | for(k=0; k<kmax-3; k+=4) |
| 265 | { |
| 266 | |
| 267 | a_00 = _mm256_load_pd( &A[0] ); |
| 268 | d_00 = _mm256_mul_pd( a_00, b_00 ); |
| 269 | a_00 = _mm256_load_pd( &A[4] ); |
| 270 | d_01 = _mm256_mul_pd( a_00, b_11 ); |
| 271 | a_00 = _mm256_load_pd( &A[8] ); |
| 272 | d_02 = _mm256_mul_pd( a_00, b_22 ); |
| 273 | |
| 274 | c_00 = _mm256_load_pd( &C[0] ); |
| 275 | c_00 = _mm256_mul_pd( c_00, beta0 ); |
| 276 | d_00 = _mm256_add_pd( c_00, d_00 ); |
| 277 | c_00 = _mm256_load_pd( &C[4] ); |
| 278 | c_00 = _mm256_mul_pd( c_00, beta0 ); |
| 279 | d_01 = _mm256_add_pd( c_00, d_01 ); |
| 280 | c_00 = _mm256_load_pd( &C[8] ); |
| 281 | c_00 = _mm256_mul_pd( c_00, beta0 ); |
| 282 | d_02 = _mm256_add_pd( c_00, d_02 ); |
| 283 | |
| 284 | _mm256_store_pd( &D[0], d_00 ); |
| 285 | _mm256_store_pd( &D[4], d_01 ); |
| 286 | _mm256_store_pd( &D[8], d_02 ); |
| 287 | |
| 288 | A += 4*sda; |
| 289 | C += 4*sdc; |
| 290 | D += 4*sdd; |
| 291 | |
| 292 | } |
| 293 | if(k<kmax) |
| 294 | { |
| 295 | |
| 296 | const double mask_f[] = {0.5, 1.5, 2.5, 3.5}; |
| 297 | double m_f = kmax-k; |
| 298 | |
| 299 | mask_i = _mm256_castpd_si256( _mm256_sub_pd( _mm256_loadu_pd( mask_f ), _mm256_broadcast_sd( &m_f ) ) ); |
| 300 | |
| 301 | a_00 = _mm256_load_pd( &A[0] ); |
| 302 | d_00 = _mm256_mul_pd( a_00, b_00 ); |
| 303 | a_00 = _mm256_load_pd( &A[4] ); |
| 304 | d_01 = _mm256_mul_pd( a_00, b_11 ); |
| 305 | a_00 = _mm256_load_pd( &A[8] ); |
| 306 | d_02 = _mm256_mul_pd( a_00, b_22 ); |
| 307 | |
| 308 | c_00 = _mm256_load_pd( &C[0] ); |
| 309 | c_00 = _mm256_mul_pd( c_00, beta0 ); |
| 310 | d_00 = _mm256_add_pd( c_00, d_00 ); |
| 311 | c_00 = _mm256_load_pd( &C[4] ); |
| 312 | c_00 = _mm256_mul_pd( c_00, beta0 ); |
| 313 | d_01 = _mm256_add_pd( c_00, d_01 ); |
| 314 | c_00 = _mm256_load_pd( &C[8] ); |
| 315 | c_00 = _mm256_mul_pd( c_00, beta0 ); |
| 316 | d_02 = _mm256_add_pd( c_00, d_02 ); |
| 317 | |
| 318 | _mm256_maskstore_pd( &D[0], mask_i, d_00 ); |
| 319 | _mm256_maskstore_pd( &D[4], mask_i, d_01 ); |
| 320 | _mm256_maskstore_pd( &D[8], mask_i, d_02 ); |
| 321 | |
| 322 | } |
| 323 | |
| 324 | } |
| 325 | |
| 326 | |
| 327 | |
| 328 | // B is the diagonal of a matrix |
| 329 | void kernel_dgemm_diag_right_2_lib4(int kmax, double *alpha, double *A, int sda, double *B, double *beta, double *C, int sdc, double *D, int sdd) |
| 330 | { |
| 331 | |
| 332 | if(kmax<=0) |
| 333 | return; |
| 334 | |
| 335 | const int bs = 4; |
| 336 | |
| 337 | int k; |
| 338 | |
| 339 | __m256d |
| 340 | alpha0, beta0, |
| 341 | mask_f, |
| 342 | sign, |
| 343 | a_00, |
| 344 | b_00, b_11, |
| 345 | c_00, |
| 346 | d_00, d_01; |
| 347 | |
| 348 | __m256i |
| 349 | mask_i; |
| 350 | |
| 351 | alpha0 = _mm256_broadcast_sd( alpha ); |
| 352 | beta0 = _mm256_broadcast_sd( beta ); |
| 353 | |
| 354 | b_00 = _mm256_broadcast_sd( &B[0] ); |
| 355 | b_00 = _mm256_mul_pd( b_00, alpha0 ); |
| 356 | b_11 = _mm256_broadcast_sd( &B[1] ); |
| 357 | b_11 = _mm256_mul_pd( b_11, alpha0 ); |
| 358 | |
| 359 | for(k=0; k<kmax-3; k+=4) |
| 360 | { |
| 361 | |
| 362 | a_00 = _mm256_load_pd( &A[0] ); |
| 363 | d_00 = _mm256_mul_pd( a_00, b_00 ); |
| 364 | a_00 = _mm256_load_pd( &A[4] ); |
| 365 | d_01 = _mm256_mul_pd( a_00, b_11 ); |
| 366 | |
| 367 | c_00 = _mm256_load_pd( &C[0] ); |
| 368 | c_00 = _mm256_mul_pd( c_00, beta0 ); |
| 369 | d_00 = _mm256_add_pd( c_00, d_00 ); |
| 370 | c_00 = _mm256_load_pd( &C[4] ); |
| 371 | c_00 = _mm256_mul_pd( c_00, beta0 ); |
| 372 | d_01 = _mm256_add_pd( c_00, d_01 ); |
| 373 | |
| 374 | _mm256_store_pd( &D[0], d_00 ); |
| 375 | _mm256_store_pd( &D[4], d_01 ); |
| 376 | |
| 377 | A += 4*sda; |
| 378 | C += 4*sdc; |
| 379 | D += 4*sdd; |
| 380 | |
| 381 | } |
| 382 | if(k<kmax) |
| 383 | { |
| 384 | |
| 385 | const double mask_f[] = {0.5, 1.5, 2.5, 3.5}; |
| 386 | double m_f = kmax-k; |
| 387 | |
| 388 | mask_i = _mm256_castpd_si256( _mm256_sub_pd( _mm256_loadu_pd( mask_f ), _mm256_broadcast_sd( &m_f ) ) ); |
| 389 | |
| 390 | a_00 = _mm256_load_pd( &A[0] ); |
| 391 | d_00 = _mm256_mul_pd( a_00, b_00 ); |
| 392 | a_00 = _mm256_load_pd( &A[4] ); |
| 393 | d_01 = _mm256_mul_pd( a_00, b_11 ); |
| 394 | |
| 395 | c_00 = _mm256_load_pd( &C[0] ); |
| 396 | c_00 = _mm256_mul_pd( c_00, beta0 ); |
| 397 | d_00 = _mm256_add_pd( c_00, d_00 ); |
| 398 | c_00 = _mm256_load_pd( &C[4] ); |
| 399 | c_00 = _mm256_mul_pd( c_00, beta0 ); |
| 400 | d_01 = _mm256_add_pd( c_00, d_01 ); |
| 401 | |
| 402 | _mm256_maskstore_pd( &D[0], mask_i, d_00 ); |
| 403 | _mm256_maskstore_pd( &D[4], mask_i, d_01 ); |
| 404 | |
| 405 | } |
| 406 | |
| 407 | } |
| 408 | |
| 409 | |
| 410 | |
| 411 | // B is the diagonal of a matrix |
| 412 | void kernel_dgemm_diag_right_1_lib4(int kmax, double *alpha, double *A, int sda, double *B, double *beta, double *C, int sdc, double *D, int sdd) |
| 413 | { |
| 414 | |
| 415 | if(kmax<=0) |
| 416 | return; |
| 417 | |
| 418 | const int bs = 4; |
| 419 | |
| 420 | int k; |
| 421 | |
| 422 | __m256d |
| 423 | alpha0, beta0, |
| 424 | mask_f, |
| 425 | sign, |
| 426 | a_00, |
| 427 | b_00, |
| 428 | c_00, |
| 429 | d_00; |
| 430 | |
| 431 | __m256i |
| 432 | mask_i; |
| 433 | |
| 434 | alpha0 = _mm256_broadcast_sd( alpha ); |
| 435 | beta0 = _mm256_broadcast_sd( beta ); |
| 436 | |
| 437 | b_00 = _mm256_broadcast_sd( &B[0] ); |
| 438 | |
| 439 | for(k=0; k<kmax-3; k+=4) |
| 440 | { |
| 441 | |
| 442 | a_00 = _mm256_load_pd( &A[0] ); |
| 443 | d_00 = _mm256_mul_pd( a_00, b_00 ); |
| 444 | |
| 445 | c_00 = _mm256_load_pd( &C[0] ); |
| 446 | c_00 = _mm256_mul_pd( c_00, beta0 ); |
| 447 | d_00 = _mm256_add_pd( c_00, d_00 ); |
| 448 | |
| 449 | _mm256_store_pd( &D[0], d_00 ); |
| 450 | |
| 451 | A += 4*sda; |
| 452 | C += 4*sdc; |
| 453 | D += 4*sdd; |
| 454 | |
| 455 | } |
| 456 | if(k<kmax) |
| 457 | { |
| 458 | |
| 459 | const double mask_f[] = {0.5, 1.5, 2.5, 3.5}; |
| 460 | double m_f = kmax-k; |
| 461 | |
| 462 | mask_i = _mm256_castpd_si256( _mm256_sub_pd( _mm256_loadu_pd( mask_f ), _mm256_broadcast_sd( &m_f ) ) ); |
| 463 | |
| 464 | a_00 = _mm256_load_pd( &A[0] ); |
| 465 | d_00 = _mm256_mul_pd( a_00, b_00 ); |
| 466 | |
| 467 | c_00 = _mm256_load_pd( &C[0] ); |
| 468 | c_00 = _mm256_mul_pd( c_00, beta0 ); |
| 469 | d_00 = _mm256_add_pd( c_00, d_00 ); |
| 470 | |
| 471 | _mm256_maskstore_pd( &D[0], mask_i, d_00 ); |
| 472 | |
| 473 | } |
| 474 | |
| 475 | } |
| 476 | |
| 477 | |
| 478 | |
| 479 | // A is the diagonal of a matrix, beta=0.0 case |
| 480 | void kernel_dgemm_diag_left_4_a0_lib4(int kmax, double *alpha, double *A, double *B, double *D) |
| 481 | { |
| 482 | |
| 483 | if(kmax<=0) |
| 484 | return; |
| 485 | |
| 486 | const int bs = 4; |
| 487 | |
| 488 | int k; |
| 489 | |
| 490 | __m256d |
| 491 | alpha0, |
| 492 | sign, |
| 493 | a_00, |
| 494 | b_00, |
| 495 | d_00, d_01, d_02, d_03; |
| 496 | |
| 497 | alpha0 = _mm256_broadcast_sd( alpha ); |
| 498 | |
| 499 | a_00 = _mm256_load_pd( &A[0] ); |
| 500 | a_00 = _mm256_mul_pd( a_00, alpha0 ); |
| 501 | |
| 502 | for(k=0; k<kmax-3; k+=4) |
| 503 | { |
| 504 | |
| 505 | b_00 = _mm256_load_pd( &B[0] ); |
| 506 | d_00 = _mm256_mul_pd( a_00, b_00 ); |
| 507 | b_00 = _mm256_load_pd( &B[4] ); |
| 508 | d_01 = _mm256_mul_pd( a_00, b_00 ); |
| 509 | b_00 = _mm256_load_pd( &B[8] ); |
| 510 | d_02 = _mm256_mul_pd( a_00, b_00 ); |
| 511 | b_00 = _mm256_load_pd( &B[12] ); |
| 512 | d_03 = _mm256_mul_pd( a_00, b_00 ); |
| 513 | |
| 514 | _mm256_store_pd( &D[0], d_00 ); |
| 515 | _mm256_store_pd( &D[4], d_01 ); |
| 516 | _mm256_store_pd( &D[8], d_02 ); |
| 517 | _mm256_store_pd( &D[12], d_03 ); |
| 518 | |
| 519 | B += 16; |
| 520 | D += 16; |
| 521 | |
| 522 | } |
| 523 | for(; k<kmax; k++) |
| 524 | { |
| 525 | |
| 526 | b_00 = _mm256_load_pd( &B[0] ); |
| 527 | d_00 = _mm256_mul_pd( a_00, b_00 ); |
| 528 | |
| 529 | _mm256_store_pd( &D[0], d_00 ); |
| 530 | |
| 531 | B += 4; |
| 532 | D += 4; |
| 533 | |
| 534 | } |
| 535 | |
| 536 | } |
| 537 | |
| 538 | |
| 539 | |
| 540 | // A is the diagonal of a matrix |
| 541 | void kernel_dgemm_diag_left_4_lib4(int kmax, double *alpha, double *A, double *B, double *beta, double *C, double *D) |
| 542 | { |
| 543 | |
| 544 | if(kmax<=0) |
| 545 | return; |
| 546 | |
| 547 | const int bs = 4; |
| 548 | |
| 549 | int k; |
| 550 | |
| 551 | __m256d |
| 552 | alpha0, beta0, |
| 553 | sign, |
| 554 | a_00, |
| 555 | b_00, |
| 556 | c_00, |
| 557 | d_00, d_01, d_02, d_03; |
| 558 | |
| 559 | alpha0 = _mm256_broadcast_sd( alpha ); |
| 560 | beta0 = _mm256_broadcast_sd( beta ); |
| 561 | |
| 562 | a_00 = _mm256_load_pd( &A[0] ); |
| 563 | a_00 = _mm256_mul_pd( a_00, alpha0 ); |
| 564 | |
| 565 | for(k=0; k<kmax-3; k+=4) |
| 566 | { |
| 567 | |
| 568 | b_00 = _mm256_load_pd( &B[0] ); |
| 569 | d_00 = _mm256_mul_pd( a_00, b_00 ); |
| 570 | b_00 = _mm256_load_pd( &B[4] ); |
| 571 | d_01 = _mm256_mul_pd( a_00, b_00 ); |
| 572 | b_00 = _mm256_load_pd( &B[8] ); |
| 573 | d_02 = _mm256_mul_pd( a_00, b_00 ); |
| 574 | b_00 = _mm256_load_pd( &B[12] ); |
| 575 | d_03 = _mm256_mul_pd( a_00, b_00 ); |
| 576 | |
| 577 | c_00 = _mm256_load_pd( &C[0] ); |
| 578 | c_00 = _mm256_mul_pd( c_00, beta0 ); |
| 579 | d_00 = _mm256_add_pd( c_00, d_00 ); |
| 580 | c_00 = _mm256_load_pd( &C[4] ); |
| 581 | c_00 = _mm256_mul_pd( c_00, beta0 ); |
| 582 | d_01 = _mm256_add_pd( c_00, d_01 ); |
| 583 | c_00 = _mm256_load_pd( &C[8] ); |
| 584 | c_00 = _mm256_mul_pd( c_00, beta0 ); |
| 585 | d_02 = _mm256_add_pd( c_00, d_02 ); |
| 586 | c_00 = _mm256_load_pd( &C[12] ); |
| 587 | c_00 = _mm256_mul_pd( c_00, beta0 ); |
| 588 | d_03 = _mm256_add_pd( c_00, d_03 ); |
| 589 | |
| 590 | _mm256_store_pd( &D[0], d_00 ); |
| 591 | _mm256_store_pd( &D[4], d_01 ); |
| 592 | _mm256_store_pd( &D[8], d_02 ); |
| 593 | _mm256_store_pd( &D[12], d_03 ); |
| 594 | |
| 595 | B += 16; |
| 596 | C += 16; |
| 597 | D += 16; |
| 598 | |
| 599 | } |
| 600 | for(; k<kmax; k++) |
| 601 | { |
| 602 | |
| 603 | b_00 = _mm256_load_pd( &B[0] ); |
| 604 | d_00 = _mm256_mul_pd( a_00, b_00 ); |
| 605 | |
| 606 | c_00 = _mm256_load_pd( &C[0] ); |
| 607 | c_00 = _mm256_mul_pd( c_00, beta0 ); |
| 608 | d_00 = _mm256_add_pd( c_00, d_00 ); |
| 609 | |
| 610 | _mm256_store_pd( &D[0], d_00 ); |
| 611 | |
| 612 | B += 4; |
| 613 | C += 4; |
| 614 | D += 4; |
| 615 | |
| 616 | } |
| 617 | |
| 618 | } |
| 619 | |
| 620 | |
| 621 | |
| 622 | // A is the diagonal of a matrix |
| 623 | void kernel_dgemm_diag_left_3_lib4(int kmax, double *alpha, double *A, double *B, double *beta, double *C, double *D) |
| 624 | { |
| 625 | |
| 626 | if(kmax<=0) |
| 627 | return; |
| 628 | |
| 629 | const int bs = 4; |
| 630 | |
| 631 | int k; |
| 632 | |
| 633 | __m256i |
| 634 | mask; |
| 635 | |
| 636 | __m256d |
| 637 | alpha0, beta0, |
| 638 | sign, |
| 639 | a_00, |
| 640 | b_00, |
| 641 | c_00, |
| 642 | d_00, d_01, d_02, d_03; |
| 643 | |
| 644 | mask = _mm256_set_epi64x( 1, -1, -1, -1 ); |
| 645 | |
| 646 | alpha0 = _mm256_broadcast_sd( alpha ); |
| 647 | beta0 = _mm256_broadcast_sd( beta ); |
| 648 | |
| 649 | a_00 = _mm256_load_pd( &A[0] ); |
| 650 | a_00 = _mm256_mul_pd( a_00, alpha0 ); |
| 651 | |
| 652 | for(k=0; k<kmax-3; k+=4) |
| 653 | { |
| 654 | |
| 655 | b_00 = _mm256_load_pd( &B[0] ); |
| 656 | d_00 = _mm256_mul_pd( a_00, b_00 ); |
| 657 | b_00 = _mm256_load_pd( &B[4] ); |
| 658 | d_01 = _mm256_mul_pd( a_00, b_00 ); |
| 659 | b_00 = _mm256_load_pd( &B[8] ); |
| 660 | d_02 = _mm256_mul_pd( a_00, b_00 ); |
| 661 | b_00 = _mm256_load_pd( &B[12] ); |
| 662 | d_03 = _mm256_mul_pd( a_00, b_00 ); |
| 663 | |
| 664 | c_00 = _mm256_load_pd( &C[0] ); |
| 665 | c_00 = _mm256_mul_pd( c_00, beta0 ); |
| 666 | d_00 = _mm256_add_pd( c_00, d_00 ); |
| 667 | c_00 = _mm256_load_pd( &C[4] ); |
| 668 | c_00 = _mm256_mul_pd( c_00, beta0 ); |
| 669 | d_01 = _mm256_add_pd( c_00, d_01 ); |
| 670 | c_00 = _mm256_load_pd( &C[8] ); |
| 671 | c_00 = _mm256_mul_pd( c_00, beta0 ); |
| 672 | d_02 = _mm256_add_pd( c_00, d_02 ); |
| 673 | c_00 = _mm256_load_pd( &C[12] ); |
| 674 | c_00 = _mm256_mul_pd( c_00, beta0 ); |
| 675 | d_03 = _mm256_add_pd( c_00, d_03 ); |
| 676 | |
| 677 | _mm256_maskstore_pd( &D[0], mask, d_00 ); |
| 678 | _mm256_maskstore_pd( &D[4], mask, d_01 ); |
| 679 | _mm256_maskstore_pd( &D[8], mask, d_02 ); |
| 680 | _mm256_maskstore_pd( &D[12], mask, d_03 ); |
| 681 | |
| 682 | B += 16; |
| 683 | C += 16; |
| 684 | D += 16; |
| 685 | |
| 686 | } |
| 687 | for(; k<kmax; k++) |
| 688 | { |
| 689 | |
| 690 | b_00 = _mm256_load_pd( &B[0] ); |
| 691 | d_00 = _mm256_mul_pd( a_00, b_00 ); |
| 692 | |
| 693 | c_00 = _mm256_load_pd( &C[0] ); |
| 694 | c_00 = _mm256_mul_pd( c_00, beta0 ); |
| 695 | d_00 = _mm256_add_pd( c_00, d_00 ); |
| 696 | |
| 697 | _mm256_maskstore_pd( &D[0], mask, d_00 ); |
| 698 | |
| 699 | B += 4; |
| 700 | C += 4; |
| 701 | D += 4; |
| 702 | |
| 703 | } |
| 704 | |
| 705 | } |
| 706 | |
| 707 | |
| 708 | |
| 709 | // A is the diagonal of a matrix |
| 710 | void kernel_dgemm_diag_left_2_lib4(int kmax, double *alpha, double *A, double *B, double *beta, double *C, double *D) |
| 711 | { |
| 712 | |
| 713 | if(kmax<=0) |
| 714 | return; |
| 715 | |
| 716 | const int bs = 4; |
| 717 | |
| 718 | int k; |
| 719 | |
| 720 | __m128d |
| 721 | alpha0, beta0, |
| 722 | sign, |
| 723 | a_00, |
| 724 | b_00, |
| 725 | c_00, |
| 726 | d_00, d_01, d_02, d_03; |
| 727 | |
| 728 | alpha0 = _mm_loaddup_pd( alpha ); |
| 729 | beta0 = _mm_loaddup_pd( beta ); |
| 730 | |
| 731 | a_00 = _mm_load_pd( &A[0] ); |
| 732 | a_00 = _mm_mul_pd( a_00, alpha0 ); |
| 733 | |
| 734 | for(k=0; k<kmax-3; k+=4) |
| 735 | { |
| 736 | |
| 737 | b_00 = _mm_load_pd( &B[0] ); |
| 738 | d_00 = _mm_mul_pd( a_00, b_00 ); |
| 739 | b_00 = _mm_load_pd( &B[4] ); |
| 740 | d_01 = _mm_mul_pd( a_00, b_00 ); |
| 741 | b_00 = _mm_load_pd( &B[8] ); |
| 742 | d_02 = _mm_mul_pd( a_00, b_00 ); |
| 743 | b_00 = _mm_load_pd( &B[12] ); |
| 744 | d_03 = _mm_mul_pd( a_00, b_00 ); |
| 745 | |
| 746 | c_00 = _mm_load_pd( &C[0] ); |
| 747 | c_00 = _mm_mul_pd( c_00, beta0 ); |
| 748 | d_00 = _mm_add_pd( c_00, d_00 ); |
| 749 | c_00 = _mm_load_pd( &C[4] ); |
| 750 | c_00 = _mm_mul_pd( c_00, beta0 ); |
| 751 | d_01 = _mm_add_pd( c_00, d_01 ); |
| 752 | c_00 = _mm_load_pd( &C[8] ); |
| 753 | c_00 = _mm_mul_pd( c_00, beta0 ); |
| 754 | d_02 = _mm_add_pd( c_00, d_02 ); |
| 755 | c_00 = _mm_load_pd( &C[12] ); |
| 756 | c_00 = _mm_mul_pd( c_00, beta0 ); |
| 757 | d_03 = _mm_add_pd( c_00, d_03 ); |
| 758 | |
| 759 | _mm_store_pd( &D[0], d_00 ); |
| 760 | _mm_store_pd( &D[4], d_01 ); |
| 761 | _mm_store_pd( &D[8], d_02 ); |
| 762 | _mm_store_pd( &D[12], d_03 ); |
| 763 | |
| 764 | B += 16; |
| 765 | C += 16; |
| 766 | D += 16; |
| 767 | |
| 768 | } |
| 769 | for(; k<kmax; k++) |
| 770 | { |
| 771 | |
| 772 | b_00 = _mm_load_pd( &B[0] ); |
| 773 | d_00 = _mm_mul_pd( a_00, b_00 ); |
| 774 | |
| 775 | c_00 = _mm_load_pd( &C[0] ); |
| 776 | c_00 = _mm_mul_pd( c_00, beta0 ); |
| 777 | d_00 = _mm_add_pd( c_00, d_00 ); |
| 778 | |
| 779 | _mm_store_pd( &D[0], d_00 ); |
| 780 | |
| 781 | B += 4; |
| 782 | C += 4; |
| 783 | D += 4; |
| 784 | |
| 785 | } |
| 786 | |
| 787 | |
| 788 | } |
| 789 | |
| 790 | |
| 791 | // A is the diagonal of a matrix |
| 792 | void kernel_dgemm_diag_left_1_lib4(int kmax, double *alpha, double *A, double *B, double *beta, double *C, double *D) |
| 793 | { |
| 794 | |
| 795 | if(kmax<=0) |
| 796 | return; |
| 797 | |
| 798 | const int bs = 4; |
| 799 | |
| 800 | int k; |
| 801 | |
| 802 | double |
| 803 | alpha0, beta0, |
| 804 | a_0, |
| 805 | b_0, |
| 806 | c_0; |
| 807 | |
| 808 | alpha0 = alpha[0]; |
| 809 | beta0 = beta[0]; |
| 810 | |
| 811 | a_0 = A[0] * alpha0; |
| 812 | |
| 813 | for(k=0; k<kmax-3; k+=4) |
| 814 | { |
| 815 | |
| 816 | b_0 = B[0+bs*0]; |
| 817 | |
| 818 | c_0 = beta0 * C[0+bs*0] + a_0 * b_0; |
| 819 | |
| 820 | D[0+bs*0] = c_0; |
| 821 | |
| 822 | |
| 823 | b_0 = B[0+bs*1]; |
| 824 | |
| 825 | c_0 = beta0 * C[0+bs*1] + a_0 * b_0; |
| 826 | |
| 827 | D[0+bs*1] = c_0; |
| 828 | |
| 829 | |
| 830 | b_0 = B[0+bs*2]; |
| 831 | |
| 832 | c_0 = beta0 * C[0+bs*2] + a_0 * b_0; |
| 833 | |
| 834 | D[0+bs*2] = c_0; |
| 835 | |
| 836 | |
| 837 | b_0 = B[0+bs*3]; |
| 838 | |
| 839 | c_0 = beta0 * C[0+bs*3] + a_0 * b_0; |
| 840 | |
| 841 | D[0+bs*3] = c_0; |
| 842 | |
| 843 | B += 16; |
| 844 | C += 16; |
| 845 | D += 16; |
| 846 | |
| 847 | } |
| 848 | for(; k<kmax; k++) |
| 849 | { |
| 850 | |
| 851 | b_0 = B[0+bs*0]; |
| 852 | |
| 853 | c_0 = beta0 * C[0+bs*0] + a_0 * b_0; |
| 854 | |
| 855 | D[0+bs*0] = c_0; |
| 856 | |
| 857 | B += 4; |
| 858 | C += 4; |
| 859 | D += 4; |
| 860 | |
| 861 | } |
| 862 | |
| 863 | } |
| 864 | |
| 865 | |
| 866 | |