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| 1d5cf7fc | 1 | /* Implementation of the MATMUL intrinsic |
| 8d9254fc | 2 | Copyright (C) 2002-2020 Free Software Foundation, Inc. |
| 1d5cf7fc TK |
3 | Contributed by Thomas Koenig <tkoenig@gcc.gnu.org>. |
| 4 | ||
| 5 | This file is part of the GNU Fortran runtime library (libgfortran). | |
| 6 | ||
| 7 | Libgfortran is free software; you can redistribute it and/or | |
| 8 | modify it under the terms of the GNU General Public | |
| 9 | License as published by the Free Software Foundation; either | |
| 10 | version 3 of the License, or (at your option) any later version. | |
| 11 | ||
| 12 | Libgfortran is distributed in the hope that it will be useful, | |
| 13 | but WITHOUT ANY WARRANTY; without even the implied warranty of | |
| 14 | MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the | |
| 15 | GNU General Public License for more details. | |
| 16 | ||
| 17 | Under Section 7 of GPL version 3, you are granted additional | |
| 18 | permissions described in the GCC Runtime Library Exception, version | |
| 19 | 3.1, as published by the Free Software Foundation. | |
| 20 | ||
| 21 | You should have received a copy of the GNU General Public License and | |
| 22 | a copy of the GCC Runtime Library Exception along with this program; | |
| 23 | see the files COPYING3 and COPYING.RUNTIME respectively. If not, see | |
| 24 | <http://www.gnu.org/licenses/>. */ | |
| 25 | ||
| 26 | #include "libgfortran.h" | |
| 27 | #include <string.h> | |
| 28 | #include <assert.h> | |
| 29 | ||
| 30 | ||
| 31 | /* These are the specific versions of matmul with -mprefer-avx128. */ | |
| 32 | ||
| 33 | #if defined (HAVE_GFC_COMPLEX_10) | |
| 34 | ||
| 35 | /* Prototype for the BLAS ?gemm subroutine, a pointer to which can be | |
| 36 | passed to us by the front-end, in which case we call it for large | |
| 37 | matrices. */ | |
| 38 | ||
| 39 | typedef void (*blas_call)(const char *, const char *, const int *, const int *, | |
| 40 | const int *, const GFC_COMPLEX_10 *, const GFC_COMPLEX_10 *, | |
| 41 | const int *, const GFC_COMPLEX_10 *, const int *, | |
| 42 | const GFC_COMPLEX_10 *, GFC_COMPLEX_10 *, const int *, | |
| 43 | int, int); | |
| 44 | ||
| 45 | #if defined(HAVE_AVX) && defined(HAVE_FMA3) && defined(HAVE_AVX128) | |
| 46 | void | |
| 47 | matmul_c10_avx128_fma3 (gfc_array_c10 * const restrict retarray, | |
| 48 | gfc_array_c10 * const restrict a, gfc_array_c10 * const restrict b, int try_blas, | |
| 49 | int blas_limit, blas_call gemm) __attribute__((__target__("avx,fma"))); | |
| 50 | internal_proto(matmul_c10_avx128_fma3); | |
| 51 | void | |
| 52 | matmul_c10_avx128_fma3 (gfc_array_c10 * const restrict retarray, | |
| 53 | gfc_array_c10 * const restrict a, gfc_array_c10 * const restrict b, int try_blas, | |
| 54 | int blas_limit, blas_call gemm) | |
| 55 | { | |
| 56 | const GFC_COMPLEX_10 * restrict abase; | |
| 57 | const GFC_COMPLEX_10 * restrict bbase; | |
| 58 | GFC_COMPLEX_10 * restrict dest; | |
| 59 | ||
| 60 | index_type rxstride, rystride, axstride, aystride, bxstride, bystride; | |
| 61 | index_type x, y, n, count, xcount, ycount; | |
| 62 | ||
| 63 | assert (GFC_DESCRIPTOR_RANK (a) == 2 | |
| 64 | || GFC_DESCRIPTOR_RANK (b) == 2); | |
| 65 | ||
| 66 | /* C[xcount,ycount] = A[xcount, count] * B[count,ycount] | |
| 67 | ||
| 68 | Either A or B (but not both) can be rank 1: | |
| 69 | ||
| 70 | o One-dimensional argument A is implicitly treated as a row matrix | |
| 71 | dimensioned [1,count], so xcount=1. | |
| 72 | ||
| 73 | o One-dimensional argument B is implicitly treated as a column matrix | |
| 74 | dimensioned [count, 1], so ycount=1. | |
| 75 | */ | |
| 76 | ||
| 77 | if (retarray->base_addr == NULL) | |
| 78 | { | |
| 79 | if (GFC_DESCRIPTOR_RANK (a) == 1) | |
| 80 | { | |
| 81 | GFC_DIMENSION_SET(retarray->dim[0], 0, | |
| 82 | GFC_DESCRIPTOR_EXTENT(b,1) - 1, 1); | |
| 83 | } | |
| 84 | else if (GFC_DESCRIPTOR_RANK (b) == 1) | |
| 85 | { | |
| 86 | GFC_DIMENSION_SET(retarray->dim[0], 0, | |
| 87 | GFC_DESCRIPTOR_EXTENT(a,0) - 1, 1); | |
| 88 | } | |
| 89 | else | |
| 90 | { | |
| 91 | GFC_DIMENSION_SET(retarray->dim[0], 0, | |
| 92 | GFC_DESCRIPTOR_EXTENT(a,0) - 1, 1); | |
| 93 | ||
| 94 | GFC_DIMENSION_SET(retarray->dim[1], 0, | |
| 95 | GFC_DESCRIPTOR_EXTENT(b,1) - 1, | |
| 96 | GFC_DESCRIPTOR_EXTENT(retarray,0)); | |
| 97 | } | |
| 98 | ||
| 99 | retarray->base_addr | |
| 100 | = xmallocarray (size0 ((array_t *) retarray), sizeof (GFC_COMPLEX_10)); | |
| 101 | retarray->offset = 0; | |
| 102 | } | |
| 103 | else if (unlikely (compile_options.bounds_check)) | |
| 104 | { | |
| 105 | index_type ret_extent, arg_extent; | |
| 106 | ||
| 107 | if (GFC_DESCRIPTOR_RANK (a) == 1) | |
| 108 | { | |
| 109 | arg_extent = GFC_DESCRIPTOR_EXTENT(b,1); | |
| 110 | ret_extent = GFC_DESCRIPTOR_EXTENT(retarray,0); | |
| 111 | if (arg_extent != ret_extent) | |
| ed33417a TK |
112 | runtime_error ("Array bound mismatch for dimension 1 of " |
| 113 | "array (%ld/%ld) ", | |
| 1d5cf7fc TK |
114 | (long int) ret_extent, (long int) arg_extent); |
| 115 | } | |
| 116 | else if (GFC_DESCRIPTOR_RANK (b) == 1) | |
| 117 | { | |
| 118 | arg_extent = GFC_DESCRIPTOR_EXTENT(a,0); | |
| 119 | ret_extent = GFC_DESCRIPTOR_EXTENT(retarray,0); | |
| 120 | if (arg_extent != ret_extent) | |
| ed33417a TK |
121 | runtime_error ("Array bound mismatch for dimension 1 of " |
| 122 | "array (%ld/%ld) ", | |
| 1d5cf7fc TK |
123 | (long int) ret_extent, (long int) arg_extent); |
| 124 | } | |
| 125 | else | |
| 126 | { | |
| 127 | arg_extent = GFC_DESCRIPTOR_EXTENT(a,0); | |
| 128 | ret_extent = GFC_DESCRIPTOR_EXTENT(retarray,0); | |
| 129 | if (arg_extent != ret_extent) | |
| ed33417a TK |
130 | runtime_error ("Array bound mismatch for dimension 1 of " |
| 131 | "array (%ld/%ld) ", | |
| 1d5cf7fc TK |
132 | (long int) ret_extent, (long int) arg_extent); |
| 133 | ||
| 134 | arg_extent = GFC_DESCRIPTOR_EXTENT(b,1); | |
| 135 | ret_extent = GFC_DESCRIPTOR_EXTENT(retarray,1); | |
| 136 | if (arg_extent != ret_extent) | |
| ed33417a TK |
137 | runtime_error ("Array bound mismatch for dimension 2 of " |
| 138 | "array (%ld/%ld) ", | |
| 1d5cf7fc TK |
139 | (long int) ret_extent, (long int) arg_extent); |
| 140 | } | |
| 141 | } | |
| 142 | ||
| 143 | ||
| 144 | if (GFC_DESCRIPTOR_RANK (retarray) == 1) | |
| 145 | { | |
| 146 | /* One-dimensional result may be addressed in the code below | |
| 147 | either as a row or a column matrix. We want both cases to | |
| 148 | work. */ | |
| 149 | rxstride = rystride = GFC_DESCRIPTOR_STRIDE(retarray,0); | |
| 150 | } | |
| 151 | else | |
| 152 | { | |
| 153 | rxstride = GFC_DESCRIPTOR_STRIDE(retarray,0); | |
| 154 | rystride = GFC_DESCRIPTOR_STRIDE(retarray,1); | |
| 155 | } | |
| 156 | ||
| 157 | ||
| 158 | if (GFC_DESCRIPTOR_RANK (a) == 1) | |
| 159 | { | |
| 160 | /* Treat it as a a row matrix A[1,count]. */ | |
| 161 | axstride = GFC_DESCRIPTOR_STRIDE(a,0); | |
| 162 | aystride = 1; | |
| 163 | ||
| 164 | xcount = 1; | |
| 165 | count = GFC_DESCRIPTOR_EXTENT(a,0); | |
| 166 | } | |
| 167 | else | |
| 168 | { | |
| 169 | axstride = GFC_DESCRIPTOR_STRIDE(a,0); | |
| 170 | aystride = GFC_DESCRIPTOR_STRIDE(a,1); | |
| 171 | ||
| 172 | count = GFC_DESCRIPTOR_EXTENT(a,1); | |
| 173 | xcount = GFC_DESCRIPTOR_EXTENT(a,0); | |
| 174 | } | |
| 175 | ||
| 176 | if (count != GFC_DESCRIPTOR_EXTENT(b,0)) | |
| 177 | { | |
| 178 | if (count > 0 || GFC_DESCRIPTOR_EXTENT(b,0) > 0) | |
| ed33417a TK |
179 | runtime_error ("Incorrect extent in argument B in MATMUL intrinsic " |
| 180 | "in dimension 1: is %ld, should be %ld", | |
| 181 | (long int) GFC_DESCRIPTOR_EXTENT(b,0), (long int) count); | |
| 1d5cf7fc TK |
182 | } |
| 183 | ||
| 184 | if (GFC_DESCRIPTOR_RANK (b) == 1) | |
| 185 | { | |
| 186 | /* Treat it as a column matrix B[count,1] */ | |
| 187 | bxstride = GFC_DESCRIPTOR_STRIDE(b,0); | |
| 188 | ||
| 189 | /* bystride should never be used for 1-dimensional b. | |
| 190 | The value is only used for calculation of the | |
| 191 | memory by the buffer. */ | |
| 192 | bystride = 256; | |
| 193 | ycount = 1; | |
| 194 | } | |
| 195 | else | |
| 196 | { | |
| 197 | bxstride = GFC_DESCRIPTOR_STRIDE(b,0); | |
| 198 | bystride = GFC_DESCRIPTOR_STRIDE(b,1); | |
| 199 | ycount = GFC_DESCRIPTOR_EXTENT(b,1); | |
| 200 | } | |
| 201 | ||
| 202 | abase = a->base_addr; | |
| 203 | bbase = b->base_addr; | |
| 204 | dest = retarray->base_addr; | |
| 205 | ||
| 206 | /* Now that everything is set up, we perform the multiplication | |
| 207 | itself. */ | |
| 208 | ||
| 209 | #define POW3(x) (((float) (x)) * ((float) (x)) * ((float) (x))) | |
| 210 | #define min(a,b) ((a) <= (b) ? (a) : (b)) | |
| 211 | #define max(a,b) ((a) >= (b) ? (a) : (b)) | |
| 212 | ||
| 213 | if (try_blas && rxstride == 1 && (axstride == 1 || aystride == 1) | |
| 214 | && (bxstride == 1 || bystride == 1) | |
| 215 | && (((float) xcount) * ((float) ycount) * ((float) count) | |
| 216 | > POW3(blas_limit))) | |
| 217 | { | |
| 218 | const int m = xcount, n = ycount, k = count, ldc = rystride; | |
| 219 | const GFC_COMPLEX_10 one = 1, zero = 0; | |
| 220 | const int lda = (axstride == 1) ? aystride : axstride, | |
| 221 | ldb = (bxstride == 1) ? bystride : bxstride; | |
| 222 | ||
| 223 | if (lda > 0 && ldb > 0 && ldc > 0 && m > 1 && n > 1 && k > 1) | |
| 224 | { | |
| 225 | assert (gemm != NULL); | |
| ed33417a TK |
226 | const char *transa, *transb; |
| 227 | if (try_blas & 2) | |
| 228 | transa = "C"; | |
| 229 | else | |
| 230 | transa = axstride == 1 ? "N" : "T"; | |
| 231 | ||
| 232 | if (try_blas & 4) | |
| 233 | transb = "C"; | |
| 234 | else | |
| 235 | transb = bxstride == 1 ? "N" : "T"; | |
| 236 | ||
| 237 | gemm (transa, transb , &m, | |
| 1d5cf7fc TK |
238 | &n, &k, &one, abase, &lda, bbase, &ldb, &zero, dest, |
| 239 | &ldc, 1, 1); | |
| 240 | return; | |
| 241 | } | |
| 242 | } | |
| 243 | ||
| 244 | if (rxstride == 1 && axstride == 1 && bxstride == 1) | |
| 245 | { | |
| 246 | /* This block of code implements a tuned matmul, derived from | |
| 247 | Superscalar GEMM-based level 3 BLAS, Beta version 0.1 | |
| 248 | ||
| 249 | Bo Kagstrom and Per Ling | |
| 250 | Department of Computing Science | |
| 251 | Umea University | |
| 252 | S-901 87 Umea, Sweden | |
| 253 | ||
| 254 | from netlib.org, translated to C, and modified for matmul.m4. */ | |
| 255 | ||
| 256 | const GFC_COMPLEX_10 *a, *b; | |
| 257 | GFC_COMPLEX_10 *c; | |
| 258 | const index_type m = xcount, n = ycount, k = count; | |
| 259 | ||
| 260 | /* System generated locals */ | |
| 261 | index_type a_dim1, a_offset, b_dim1, b_offset, c_dim1, c_offset, | |
| 262 | i1, i2, i3, i4, i5, i6; | |
| 263 | ||
| 264 | /* Local variables */ | |
| 265 | GFC_COMPLEX_10 f11, f12, f21, f22, f31, f32, f41, f42, | |
| 266 | f13, f14, f23, f24, f33, f34, f43, f44; | |
| 267 | index_type i, j, l, ii, jj, ll; | |
| 268 | index_type isec, jsec, lsec, uisec, ujsec, ulsec; | |
| 269 | GFC_COMPLEX_10 *t1; | |
| 270 | ||
| 271 | a = abase; | |
| 272 | b = bbase; | |
| 273 | c = retarray->base_addr; | |
| 274 | ||
| 275 | /* Parameter adjustments */ | |
| 276 | c_dim1 = rystride; | |
| 277 | c_offset = 1 + c_dim1; | |
| 278 | c -= c_offset; | |
| 279 | a_dim1 = aystride; | |
| 280 | a_offset = 1 + a_dim1; | |
| 281 | a -= a_offset; | |
| 282 | b_dim1 = bystride; | |
| 283 | b_offset = 1 + b_dim1; | |
| 284 | b -= b_offset; | |
| 285 | ||
| bbf97416 TK |
286 | /* Empty c first. */ |
| 287 | for (j=1; j<=n; j++) | |
| 288 | for (i=1; i<=m; i++) | |
| 289 | c[i + j * c_dim1] = (GFC_COMPLEX_10)0; | |
| 290 | ||
| 1d5cf7fc TK |
291 | /* Early exit if possible */ |
| 292 | if (m == 0 || n == 0 || k == 0) | |
| 293 | return; | |
| 294 | ||
| 295 | /* Adjust size of t1 to what is needed. */ | |
| 4f4fabd7 TK |
296 | index_type t1_dim, a_sz; |
| 297 | if (aystride == 1) | |
| 298 | a_sz = rystride; | |
| 299 | else | |
| 300 | a_sz = a_dim1; | |
| 301 | ||
| 302 | t1_dim = a_sz * 256 + b_dim1; | |
| 1d5cf7fc TK |
303 | if (t1_dim > 65536) |
| 304 | t1_dim = 65536; | |
| 305 | ||
| 306 | t1 = malloc (t1_dim * sizeof(GFC_COMPLEX_10)); | |
| 307 | ||
| 1d5cf7fc TK |
308 | /* Start turning the crank. */ |
| 309 | i1 = n; | |
| 310 | for (jj = 1; jj <= i1; jj += 512) | |
| 311 | { | |
| 312 | /* Computing MIN */ | |
| 313 | i2 = 512; | |
| 314 | i3 = n - jj + 1; | |
| 315 | jsec = min(i2,i3); | |
| 316 | ujsec = jsec - jsec % 4; | |
| 317 | i2 = k; | |
| 318 | for (ll = 1; ll <= i2; ll += 256) | |
| 319 | { | |
| 320 | /* Computing MIN */ | |
| 321 | i3 = 256; | |
| 322 | i4 = k - ll + 1; | |
| 323 | lsec = min(i3,i4); | |
| 324 | ulsec = lsec - lsec % 2; | |
| 325 | ||
| 326 | i3 = m; | |
| 327 | for (ii = 1; ii <= i3; ii += 256) | |
| 328 | { | |
| 329 | /* Computing MIN */ | |
| 330 | i4 = 256; | |
| 331 | i5 = m - ii + 1; | |
| 332 | isec = min(i4,i5); | |
| 333 | uisec = isec - isec % 2; | |
| 334 | i4 = ll + ulsec - 1; | |
| 335 | for (l = ll; l <= i4; l += 2) | |
| 336 | { | |
| 337 | i5 = ii + uisec - 1; | |
| 338 | for (i = ii; i <= i5; i += 2) | |
| 339 | { | |
| 340 | t1[l - ll + 1 + ((i - ii + 1) << 8) - 257] = | |
| 341 | a[i + l * a_dim1]; | |
| 342 | t1[l - ll + 2 + ((i - ii + 1) << 8) - 257] = | |
| 343 | a[i + (l + 1) * a_dim1]; | |
| 344 | t1[l - ll + 1 + ((i - ii + 2) << 8) - 257] = | |
| 345 | a[i + 1 + l * a_dim1]; | |
| 346 | t1[l - ll + 2 + ((i - ii + 2) << 8) - 257] = | |
| 347 | a[i + 1 + (l + 1) * a_dim1]; | |
| 348 | } | |
| 349 | if (uisec < isec) | |
| 350 | { | |
| 351 | t1[l - ll + 1 + (isec << 8) - 257] = | |
| 352 | a[ii + isec - 1 + l * a_dim1]; | |
| 353 | t1[l - ll + 2 + (isec << 8) - 257] = | |
| 354 | a[ii + isec - 1 + (l + 1) * a_dim1]; | |
| 355 | } | |
| 356 | } | |
| 357 | if (ulsec < lsec) | |
| 358 | { | |
| 359 | i4 = ii + isec - 1; | |
| 360 | for (i = ii; i<= i4; ++i) | |
| 361 | { | |
| 362 | t1[lsec + ((i - ii + 1) << 8) - 257] = | |
| 363 | a[i + (ll + lsec - 1) * a_dim1]; | |
| 364 | } | |
| 365 | } | |
| 366 | ||
| 367 | uisec = isec - isec % 4; | |
| 368 | i4 = jj + ujsec - 1; | |
| 369 | for (j = jj; j <= i4; j += 4) | |
| 370 | { | |
| 371 | i5 = ii + uisec - 1; | |
| 372 | for (i = ii; i <= i5; i += 4) | |
| 373 | { | |
| 374 | f11 = c[i + j * c_dim1]; | |
| 375 | f21 = c[i + 1 + j * c_dim1]; | |
| 376 | f12 = c[i + (j + 1) * c_dim1]; | |
| 377 | f22 = c[i + 1 + (j + 1) * c_dim1]; | |
| 378 | f13 = c[i + (j + 2) * c_dim1]; | |
| 379 | f23 = c[i + 1 + (j + 2) * c_dim1]; | |
| 380 | f14 = c[i + (j + 3) * c_dim1]; | |
| 381 | f24 = c[i + 1 + (j + 3) * c_dim1]; | |
| 382 | f31 = c[i + 2 + j * c_dim1]; | |
| 383 | f41 = c[i + 3 + j * c_dim1]; | |
| 384 | f32 = c[i + 2 + (j + 1) * c_dim1]; | |
| 385 | f42 = c[i + 3 + (j + 1) * c_dim1]; | |
| 386 | f33 = c[i + 2 + (j + 2) * c_dim1]; | |
| 387 | f43 = c[i + 3 + (j + 2) * c_dim1]; | |
| 388 | f34 = c[i + 2 + (j + 3) * c_dim1]; | |
| 389 | f44 = c[i + 3 + (j + 3) * c_dim1]; | |
| 390 | i6 = ll + lsec - 1; | |
| 391 | for (l = ll; l <= i6; ++l) | |
| 392 | { | |
| 393 | f11 += t1[l - ll + 1 + ((i - ii + 1) << 8) - 257] | |
| 394 | * b[l + j * b_dim1]; | |
| 395 | f21 += t1[l - ll + 1 + ((i - ii + 2) << 8) - 257] | |
| 396 | * b[l + j * b_dim1]; | |
| 397 | f12 += t1[l - ll + 1 + ((i - ii + 1) << 8) - 257] | |
| 398 | * b[l + (j + 1) * b_dim1]; | |
| 399 | f22 += t1[l - ll + 1 + ((i - ii + 2) << 8) - 257] | |
| 400 | * b[l + (j + 1) * b_dim1]; | |
| 401 | f13 += t1[l - ll + 1 + ((i - ii + 1) << 8) - 257] | |
| 402 | * b[l + (j + 2) * b_dim1]; | |
| 403 | f23 += t1[l - ll + 1 + ((i - ii + 2) << 8) - 257] | |
| 404 | * b[l + (j + 2) * b_dim1]; | |
| 405 | f14 += t1[l - ll + 1 + ((i - ii + 1) << 8) - 257] | |
| 406 | * b[l + (j + 3) * b_dim1]; | |
| 407 | f24 += t1[l - ll + 1 + ((i - ii + 2) << 8) - 257] | |
| 408 | * b[l + (j + 3) * b_dim1]; | |
| 409 | f31 += t1[l - ll + 1 + ((i - ii + 3) << 8) - 257] | |
| 410 | * b[l + j * b_dim1]; | |
| 411 | f41 += t1[l - ll + 1 + ((i - ii + 4) << 8) - 257] | |
| 412 | * b[l + j * b_dim1]; | |
| 413 | f32 += t1[l - ll + 1 + ((i - ii + 3) << 8) - 257] | |
| 414 | * b[l + (j + 1) * b_dim1]; | |
| 415 | f42 += t1[l - ll + 1 + ((i - ii + 4) << 8) - 257] | |
| 416 | * b[l + (j + 1) * b_dim1]; | |
| 417 | f33 += t1[l - ll + 1 + ((i - ii + 3) << 8) - 257] | |
| 418 | * b[l + (j + 2) * b_dim1]; | |
| 419 | f43 += t1[l - ll + 1 + ((i - ii + 4) << 8) - 257] | |
| 420 | * b[l + (j + 2) * b_dim1]; | |
| 421 | f34 += t1[l - ll + 1 + ((i - ii + 3) << 8) - 257] | |
| 422 | * b[l + (j + 3) * b_dim1]; | |
| 423 | f44 += t1[l - ll + 1 + ((i - ii + 4) << 8) - 257] | |
| 424 | * b[l + (j + 3) * b_dim1]; | |
| 425 | } | |
| 426 | c[i + j * c_dim1] = f11; | |
| 427 | c[i + 1 + j * c_dim1] = f21; | |
| 428 | c[i + (j + 1) * c_dim1] = f12; | |
| 429 | c[i + 1 + (j + 1) * c_dim1] = f22; | |
| 430 | c[i + (j + 2) * c_dim1] = f13; | |
| 431 | c[i + 1 + (j + 2) * c_dim1] = f23; | |
| 432 | c[i + (j + 3) * c_dim1] = f14; | |
| 433 | c[i + 1 + (j + 3) * c_dim1] = f24; | |
| 434 | c[i + 2 + j * c_dim1] = f31; | |
| 435 | c[i + 3 + j * c_dim1] = f41; | |
| 436 | c[i + 2 + (j + 1) * c_dim1] = f32; | |
| 437 | c[i + 3 + (j + 1) * c_dim1] = f42; | |
| 438 | c[i + 2 + (j + 2) * c_dim1] = f33; | |
| 439 | c[i + 3 + (j + 2) * c_dim1] = f43; | |
| 440 | c[i + 2 + (j + 3) * c_dim1] = f34; | |
| 441 | c[i + 3 + (j + 3) * c_dim1] = f44; | |
| 442 | } | |
| 443 | if (uisec < isec) | |
| 444 | { | |
| 445 | i5 = ii + isec - 1; | |
| 446 | for (i = ii + uisec; i <= i5; ++i) | |
| 447 | { | |
| 448 | f11 = c[i + j * c_dim1]; | |
| 449 | f12 = c[i + (j + 1) * c_dim1]; | |
| 450 | f13 = c[i + (j + 2) * c_dim1]; | |
| 451 | f14 = c[i + (j + 3) * c_dim1]; | |
| 452 | i6 = ll + lsec - 1; | |
| 453 | for (l = ll; l <= i6; ++l) | |
| 454 | { | |
| 455 | f11 += t1[l - ll + 1 + ((i - ii + 1) << 8) - | |
| 456 | 257] * b[l + j * b_dim1]; | |
| 457 | f12 += t1[l - ll + 1 + ((i - ii + 1) << 8) - | |
| 458 | 257] * b[l + (j + 1) * b_dim1]; | |
| 459 | f13 += t1[l - ll + 1 + ((i - ii + 1) << 8) - | |
| 460 | 257] * b[l + (j + 2) * b_dim1]; | |
| 461 | f14 += t1[l - ll + 1 + ((i - ii + 1) << 8) - | |
| 462 | 257] * b[l + (j + 3) * b_dim1]; | |
| 463 | } | |
| 464 | c[i + j * c_dim1] = f11; | |
| 465 | c[i + (j + 1) * c_dim1] = f12; | |
| 466 | c[i + (j + 2) * c_dim1] = f13; | |
| 467 | c[i + (j + 3) * c_dim1] = f14; | |
| 468 | } | |
| 469 | } | |
| 470 | } | |
| 471 | if (ujsec < jsec) | |
| 472 | { | |
| 473 | i4 = jj + jsec - 1; | |
| 474 | for (j = jj + ujsec; j <= i4; ++j) | |
| 475 | { | |
| 476 | i5 = ii + uisec - 1; | |
| 477 | for (i = ii; i <= i5; i += 4) | |
| 478 | { | |
| 479 | f11 = c[i + j * c_dim1]; | |
| 480 | f21 = c[i + 1 + j * c_dim1]; | |
| 481 | f31 = c[i + 2 + j * c_dim1]; | |
| 482 | f41 = c[i + 3 + j * c_dim1]; | |
| 483 | i6 = ll + lsec - 1; | |
| 484 | for (l = ll; l <= i6; ++l) | |
| 485 | { | |
| 486 | f11 += t1[l - ll + 1 + ((i - ii + 1) << 8) - | |
| 487 | 257] * b[l + j * b_dim1]; | |
| 488 | f21 += t1[l - ll + 1 + ((i - ii + 2) << 8) - | |
| 489 | 257] * b[l + j * b_dim1]; | |
| 490 | f31 += t1[l - ll + 1 + ((i - ii + 3) << 8) - | |
| 491 | 257] * b[l + j * b_dim1]; | |
| 492 | f41 += t1[l - ll + 1 + ((i - ii + 4) << 8) - | |
| 493 | 257] * b[l + j * b_dim1]; | |
| 494 | } | |
| 495 | c[i + j * c_dim1] = f11; | |
| 496 | c[i + 1 + j * c_dim1] = f21; | |
| 497 | c[i + 2 + j * c_dim1] = f31; | |
| 498 | c[i + 3 + j * c_dim1] = f41; | |
| 499 | } | |
| 500 | i5 = ii + isec - 1; | |
| 501 | for (i = ii + uisec; i <= i5; ++i) | |
| 502 | { | |
| 503 | f11 = c[i + j * c_dim1]; | |
| 504 | i6 = ll + lsec - 1; | |
| 505 | for (l = ll; l <= i6; ++l) | |
| 506 | { | |
| 507 | f11 += t1[l - ll + 1 + ((i - ii + 1) << 8) - | |
| 508 | 257] * b[l + j * b_dim1]; | |
| 509 | } | |
| 510 | c[i + j * c_dim1] = f11; | |
| 511 | } | |
| 512 | } | |
| 513 | } | |
| 514 | } | |
| 515 | } | |
| 516 | } | |
| 517 | free(t1); | |
| 518 | return; | |
| 519 | } | |
| 520 | else if (rxstride == 1 && aystride == 1 && bxstride == 1) | |
| 521 | { | |
| 522 | if (GFC_DESCRIPTOR_RANK (a) != 1) | |
| 523 | { | |
| 524 | const GFC_COMPLEX_10 *restrict abase_x; | |
| 525 | const GFC_COMPLEX_10 *restrict bbase_y; | |
| 526 | GFC_COMPLEX_10 *restrict dest_y; | |
| 527 | GFC_COMPLEX_10 s; | |
| 528 | ||
| 529 | for (y = 0; y < ycount; y++) | |
| 530 | { | |
| 531 | bbase_y = &bbase[y*bystride]; | |
| 532 | dest_y = &dest[y*rystride]; | |
| 533 | for (x = 0; x < xcount; x++) | |
| 534 | { | |
| 535 | abase_x = &abase[x*axstride]; | |
| 536 | s = (GFC_COMPLEX_10) 0; | |
| 537 | for (n = 0; n < count; n++) | |
| 538 | s += abase_x[n] * bbase_y[n]; | |
| 539 | dest_y[x] = s; | |
| 540 | } | |
| 541 | } | |
| 542 | } | |
| 543 | else | |
| 544 | { | |
| 545 | const GFC_COMPLEX_10 *restrict bbase_y; | |
| 546 | GFC_COMPLEX_10 s; | |
| 547 | ||
| 548 | for (y = 0; y < ycount; y++) | |
| 549 | { | |
| 550 | bbase_y = &bbase[y*bystride]; | |
| 551 | s = (GFC_COMPLEX_10) 0; | |
| 552 | for (n = 0; n < count; n++) | |
| 553 | s += abase[n*axstride] * bbase_y[n]; | |
| 554 | dest[y*rystride] = s; | |
| 555 | } | |
| 556 | } | |
| 557 | } | |
| 558 | else if (axstride < aystride) | |
| 559 | { | |
| 560 | for (y = 0; y < ycount; y++) | |
| 561 | for (x = 0; x < xcount; x++) | |
| 562 | dest[x*rxstride + y*rystride] = (GFC_COMPLEX_10)0; | |
| 563 | ||
| 564 | for (y = 0; y < ycount; y++) | |
| 565 | for (n = 0; n < count; n++) | |
| 566 | for (x = 0; x < xcount; x++) | |
| 567 | /* dest[x,y] += a[x,n] * b[n,y] */ | |
| 568 | dest[x*rxstride + y*rystride] += | |
| 569 | abase[x*axstride + n*aystride] * | |
| 570 | bbase[n*bxstride + y*bystride]; | |
| 571 | } | |
| 572 | else if (GFC_DESCRIPTOR_RANK (a) == 1) | |
| 573 | { | |
| 574 | const GFC_COMPLEX_10 *restrict bbase_y; | |
| 575 | GFC_COMPLEX_10 s; | |
| 576 | ||
| 577 | for (y = 0; y < ycount; y++) | |
| 578 | { | |
| 579 | bbase_y = &bbase[y*bystride]; | |
| 580 | s = (GFC_COMPLEX_10) 0; | |
| 581 | for (n = 0; n < count; n++) | |
| 582 | s += abase[n*axstride] * bbase_y[n*bxstride]; | |
| 583 | dest[y*rxstride] = s; | |
| 584 | } | |
| 585 | } | |
| 586 | else | |
| 587 | { | |
| 588 | const GFC_COMPLEX_10 *restrict abase_x; | |
| 589 | const GFC_COMPLEX_10 *restrict bbase_y; | |
| 590 | GFC_COMPLEX_10 *restrict dest_y; | |
| 591 | GFC_COMPLEX_10 s; | |
| 592 | ||
| 593 | for (y = 0; y < ycount; y++) | |
| 594 | { | |
| 595 | bbase_y = &bbase[y*bystride]; | |
| 596 | dest_y = &dest[y*rystride]; | |
| 597 | for (x = 0; x < xcount; x++) | |
| 598 | { | |
| 599 | abase_x = &abase[x*axstride]; | |
| 600 | s = (GFC_COMPLEX_10) 0; | |
| 601 | for (n = 0; n < count; n++) | |
| 602 | s += abase_x[n*aystride] * bbase_y[n*bxstride]; | |
| 603 | dest_y[x*rxstride] = s; | |
| 604 | } | |
| 605 | } | |
| 606 | } | |
| 607 | } | |
| 608 | #undef POW3 | |
| 609 | #undef min | |
| 610 | #undef max | |
| 611 | ||
| 612 | #endif | |
| 613 | ||
| 614 | #if defined(HAVE_AVX) && defined(HAVE_FMA4) && defined(HAVE_AVX128) | |
| 615 | void | |
| 616 | matmul_c10_avx128_fma4 (gfc_array_c10 * const restrict retarray, | |
| 617 | gfc_array_c10 * const restrict a, gfc_array_c10 * const restrict b, int try_blas, | |
| 618 | int blas_limit, blas_call gemm) __attribute__((__target__("avx,fma4"))); | |
| 619 | internal_proto(matmul_c10_avx128_fma4); | |
| 620 | void | |
| 621 | matmul_c10_avx128_fma4 (gfc_array_c10 * const restrict retarray, | |
| 622 | gfc_array_c10 * const restrict a, gfc_array_c10 * const restrict b, int try_blas, | |
| 623 | int blas_limit, blas_call gemm) | |
| 624 | { | |
| 625 | const GFC_COMPLEX_10 * restrict abase; | |
| 626 | const GFC_COMPLEX_10 * restrict bbase; | |
| 627 | GFC_COMPLEX_10 * restrict dest; | |
| 628 | ||
| 629 | index_type rxstride, rystride, axstride, aystride, bxstride, bystride; | |
| 630 | index_type x, y, n, count, xcount, ycount; | |
| 631 | ||
| 632 | assert (GFC_DESCRIPTOR_RANK (a) == 2 | |
| 633 | || GFC_DESCRIPTOR_RANK (b) == 2); | |
| 634 | ||
| 635 | /* C[xcount,ycount] = A[xcount, count] * B[count,ycount] | |
| 636 | ||
| 637 | Either A or B (but not both) can be rank 1: | |
| 638 | ||
| 639 | o One-dimensional argument A is implicitly treated as a row matrix | |
| 640 | dimensioned [1,count], so xcount=1. | |
| 641 | ||
| 642 | o One-dimensional argument B is implicitly treated as a column matrix | |
| 643 | dimensioned [count, 1], so ycount=1. | |
| 644 | */ | |
| 645 | ||
| 646 | if (retarray->base_addr == NULL) | |
| 647 | { | |
| 648 | if (GFC_DESCRIPTOR_RANK (a) == 1) | |
| 649 | { | |
| 650 | GFC_DIMENSION_SET(retarray->dim[0], 0, | |
| 651 | GFC_DESCRIPTOR_EXTENT(b,1) - 1, 1); | |
| 652 | } | |
| 653 | else if (GFC_DESCRIPTOR_RANK (b) == 1) | |
| 654 | { | |
| 655 | GFC_DIMENSION_SET(retarray->dim[0], 0, | |
| 656 | GFC_DESCRIPTOR_EXTENT(a,0) - 1, 1); | |
| 657 | } | |
| 658 | else | |
| 659 | { | |
| 660 | GFC_DIMENSION_SET(retarray->dim[0], 0, | |
| 661 | GFC_DESCRIPTOR_EXTENT(a,0) - 1, 1); | |
| 662 | ||
| 663 | GFC_DIMENSION_SET(retarray->dim[1], 0, | |
| 664 | GFC_DESCRIPTOR_EXTENT(b,1) - 1, | |
| 665 | GFC_DESCRIPTOR_EXTENT(retarray,0)); | |
| 666 | } | |
| 667 | ||
| 668 | retarray->base_addr | |
| 669 | = xmallocarray (size0 ((array_t *) retarray), sizeof (GFC_COMPLEX_10)); | |
| 670 | retarray->offset = 0; | |
| 671 | } | |
| 672 | else if (unlikely (compile_options.bounds_check)) | |
| 673 | { | |
| 674 | index_type ret_extent, arg_extent; | |
| 675 | ||
| 676 | if (GFC_DESCRIPTOR_RANK (a) == 1) | |
| 677 | { | |
| 678 | arg_extent = GFC_DESCRIPTOR_EXTENT(b,1); | |
| 679 | ret_extent = GFC_DESCRIPTOR_EXTENT(retarray,0); | |
| 680 | if (arg_extent != ret_extent) | |
| ed33417a TK |
681 | runtime_error ("Array bound mismatch for dimension 1 of " |
| 682 | "array (%ld/%ld) ", | |
| 1d5cf7fc TK |
683 | (long int) ret_extent, (long int) arg_extent); |
| 684 | } | |
| 685 | else if (GFC_DESCRIPTOR_RANK (b) == 1) | |
| 686 | { | |
| 687 | arg_extent = GFC_DESCRIPTOR_EXTENT(a,0); | |
| 688 | ret_extent = GFC_DESCRIPTOR_EXTENT(retarray,0); | |
| 689 | if (arg_extent != ret_extent) | |
| ed33417a TK |
690 | runtime_error ("Array bound mismatch for dimension 1 of " |
| 691 | "array (%ld/%ld) ", | |
| 1d5cf7fc TK |
692 | (long int) ret_extent, (long int) arg_extent); |
| 693 | } | |
| 694 | else | |
| 695 | { | |
| 696 | arg_extent = GFC_DESCRIPTOR_EXTENT(a,0); | |
| 697 | ret_extent = GFC_DESCRIPTOR_EXTENT(retarray,0); | |
| 698 | if (arg_extent != ret_extent) | |
| ed33417a TK |
699 | runtime_error ("Array bound mismatch for dimension 1 of " |
| 700 | "array (%ld/%ld) ", | |
| 1d5cf7fc TK |
701 | (long int) ret_extent, (long int) arg_extent); |
| 702 | ||
| 703 | arg_extent = GFC_DESCRIPTOR_EXTENT(b,1); | |
| 704 | ret_extent = GFC_DESCRIPTOR_EXTENT(retarray,1); | |
| 705 | if (arg_extent != ret_extent) | |
| ed33417a TK |
706 | runtime_error ("Array bound mismatch for dimension 2 of " |
| 707 | "array (%ld/%ld) ", | |
| 1d5cf7fc TK |
708 | (long int) ret_extent, (long int) arg_extent); |
| 709 | } | |
| 710 | } | |
| 711 | ||
| 712 | ||
| 713 | if (GFC_DESCRIPTOR_RANK (retarray) == 1) | |
| 714 | { | |
| 715 | /* One-dimensional result may be addressed in the code below | |
| 716 | either as a row or a column matrix. We want both cases to | |
| 717 | work. */ | |
| 718 | rxstride = rystride = GFC_DESCRIPTOR_STRIDE(retarray,0); | |
| 719 | } | |
| 720 | else | |
| 721 | { | |
| 722 | rxstride = GFC_DESCRIPTOR_STRIDE(retarray,0); | |
| 723 | rystride = GFC_DESCRIPTOR_STRIDE(retarray,1); | |
| 724 | } | |
| 725 | ||
| 726 | ||
| 727 | if (GFC_DESCRIPTOR_RANK (a) == 1) | |
| 728 | { | |
| 729 | /* Treat it as a a row matrix A[1,count]. */ | |
| 730 | axstride = GFC_DESCRIPTOR_STRIDE(a,0); | |
| 731 | aystride = 1; | |
| 732 | ||
| 733 | xcount = 1; | |
| 734 | count = GFC_DESCRIPTOR_EXTENT(a,0); | |
| 735 | } | |
| 736 | else | |
| 737 | { | |
| 738 | axstride = GFC_DESCRIPTOR_STRIDE(a,0); | |
| 739 | aystride = GFC_DESCRIPTOR_STRIDE(a,1); | |
| 740 | ||
| 741 | count = GFC_DESCRIPTOR_EXTENT(a,1); | |
| 742 | xcount = GFC_DESCRIPTOR_EXTENT(a,0); | |
| 743 | } | |
| 744 | ||
| 745 | if (count != GFC_DESCRIPTOR_EXTENT(b,0)) | |
| 746 | { | |
| 747 | if (count > 0 || GFC_DESCRIPTOR_EXTENT(b,0) > 0) | |
| ed33417a TK |
748 | runtime_error ("Incorrect extent in argument B in MATMUL intrinsic " |
| 749 | "in dimension 1: is %ld, should be %ld", | |
| 750 | (long int) GFC_DESCRIPTOR_EXTENT(b,0), (long int) count); | |
| 1d5cf7fc TK |
751 | } |
| 752 | ||
| 753 | if (GFC_DESCRIPTOR_RANK (b) == 1) | |
| 754 | { | |
| 755 | /* Treat it as a column matrix B[count,1] */ | |
| 756 | bxstride = GFC_DESCRIPTOR_STRIDE(b,0); | |
| 757 | ||
| 758 | /* bystride should never be used for 1-dimensional b. | |
| 759 | The value is only used for calculation of the | |
| 760 | memory by the buffer. */ | |
| 761 | bystride = 256; | |
| 762 | ycount = 1; | |
| 763 | } | |
| 764 | else | |
| 765 | { | |
| 766 | bxstride = GFC_DESCRIPTOR_STRIDE(b,0); | |
| 767 | bystride = GFC_DESCRIPTOR_STRIDE(b,1); | |
| 768 | ycount = GFC_DESCRIPTOR_EXTENT(b,1); | |
| 769 | } | |
| 770 | ||
| 771 | abase = a->base_addr; | |
| 772 | bbase = b->base_addr; | |
| 773 | dest = retarray->base_addr; | |
| 774 | ||
| 775 | /* Now that everything is set up, we perform the multiplication | |
| 776 | itself. */ | |
| 777 | ||
| 778 | #define POW3(x) (((float) (x)) * ((float) (x)) * ((float) (x))) | |
| 779 | #define min(a,b) ((a) <= (b) ? (a) : (b)) | |
| 780 | #define max(a,b) ((a) >= (b) ? (a) : (b)) | |
| 781 | ||
| 782 | if (try_blas && rxstride == 1 && (axstride == 1 || aystride == 1) | |
| 783 | && (bxstride == 1 || bystride == 1) | |
| 784 | && (((float) xcount) * ((float) ycount) * ((float) count) | |
| 785 | > POW3(blas_limit))) | |
| 786 | { | |
| 787 | const int m = xcount, n = ycount, k = count, ldc = rystride; | |
| 788 | const GFC_COMPLEX_10 one = 1, zero = 0; | |
| 789 | const int lda = (axstride == 1) ? aystride : axstride, | |
| 790 | ldb = (bxstride == 1) ? bystride : bxstride; | |
| 791 | ||
| 792 | if (lda > 0 && ldb > 0 && ldc > 0 && m > 1 && n > 1 && k > 1) | |
| 793 | { | |
| 794 | assert (gemm != NULL); | |
| ed33417a TK |
795 | const char *transa, *transb; |
| 796 | if (try_blas & 2) | |
| 797 | transa = "C"; | |
| 798 | else | |
| 799 | transa = axstride == 1 ? "N" : "T"; | |
| 800 | ||
| 801 | if (try_blas & 4) | |
| 802 | transb = "C"; | |
| 803 | else | |
| 804 | transb = bxstride == 1 ? "N" : "T"; | |
| 805 | ||
| 806 | gemm (transa, transb , &m, | |
| 1d5cf7fc TK |
807 | &n, &k, &one, abase, &lda, bbase, &ldb, &zero, dest, |
| 808 | &ldc, 1, 1); | |
| 809 | return; | |
| 810 | } | |
| 811 | } | |
| 812 | ||
| 813 | if (rxstride == 1 && axstride == 1 && bxstride == 1) | |
| 814 | { | |
| 815 | /* This block of code implements a tuned matmul, derived from | |
| 816 | Superscalar GEMM-based level 3 BLAS, Beta version 0.1 | |
| 817 | ||
| 818 | Bo Kagstrom and Per Ling | |
| 819 | Department of Computing Science | |
| 820 | Umea University | |
| 821 | S-901 87 Umea, Sweden | |
| 822 | ||
| 823 | from netlib.org, translated to C, and modified for matmul.m4. */ | |
| 824 | ||
| 825 | const GFC_COMPLEX_10 *a, *b; | |
| 826 | GFC_COMPLEX_10 *c; | |
| 827 | const index_type m = xcount, n = ycount, k = count; | |
| 828 | ||
| 829 | /* System generated locals */ | |
| 830 | index_type a_dim1, a_offset, b_dim1, b_offset, c_dim1, c_offset, | |
| 831 | i1, i2, i3, i4, i5, i6; | |
| 832 | ||
| 833 | /* Local variables */ | |
| 834 | GFC_COMPLEX_10 f11, f12, f21, f22, f31, f32, f41, f42, | |
| 835 | f13, f14, f23, f24, f33, f34, f43, f44; | |
| 836 | index_type i, j, l, ii, jj, ll; | |
| 837 | index_type isec, jsec, lsec, uisec, ujsec, ulsec; | |
| 838 | GFC_COMPLEX_10 *t1; | |
| 839 | ||
| 840 | a = abase; | |
| 841 | b = bbase; | |
| 842 | c = retarray->base_addr; | |
| 843 | ||
| 844 | /* Parameter adjustments */ | |
| 845 | c_dim1 = rystride; | |
| 846 | c_offset = 1 + c_dim1; | |
| 847 | c -= c_offset; | |
| 848 | a_dim1 = aystride; | |
| 849 | a_offset = 1 + a_dim1; | |
| 850 | a -= a_offset; | |
| 851 | b_dim1 = bystride; | |
| 852 | b_offset = 1 + b_dim1; | |
| 853 | b -= b_offset; | |
| 854 | ||
| bbf97416 TK |
855 | /* Empty c first. */ |
| 856 | for (j=1; j<=n; j++) | |
| 857 | for (i=1; i<=m; i++) | |
| 858 | c[i + j * c_dim1] = (GFC_COMPLEX_10)0; | |
| 859 | ||
| 1d5cf7fc TK |
860 | /* Early exit if possible */ |
| 861 | if (m == 0 || n == 0 || k == 0) | |
| 862 | return; | |
| 863 | ||
| 864 | /* Adjust size of t1 to what is needed. */ | |
| 4f4fabd7 TK |
865 | index_type t1_dim, a_sz; |
| 866 | if (aystride == 1) | |
| 867 | a_sz = rystride; | |
| 868 | else | |
| 869 | a_sz = a_dim1; | |
| 870 | ||
| 871 | t1_dim = a_sz * 256 + b_dim1; | |
| 1d5cf7fc TK |
872 | if (t1_dim > 65536) |
| 873 | t1_dim = 65536; | |
| 874 | ||
| 875 | t1 = malloc (t1_dim * sizeof(GFC_COMPLEX_10)); | |
| 876 | ||
| 1d5cf7fc TK |
877 | /* Start turning the crank. */ |
| 878 | i1 = n; | |
| 879 | for (jj = 1; jj <= i1; jj += 512) | |
| 880 | { | |
| 881 | /* Computing MIN */ | |
| 882 | i2 = 512; | |
| 883 | i3 = n - jj + 1; | |
| 884 | jsec = min(i2,i3); | |
| 885 | ujsec = jsec - jsec % 4; | |
| 886 | i2 = k; | |
| 887 | for (ll = 1; ll <= i2; ll += 256) | |
| 888 | { | |
| 889 | /* Computing MIN */ | |
| 890 | i3 = 256; | |
| 891 | i4 = k - ll + 1; | |
| 892 | lsec = min(i3,i4); | |
| 893 | ulsec = lsec - lsec % 2; | |
| 894 | ||
| 895 | i3 = m; | |
| 896 | for (ii = 1; ii <= i3; ii += 256) | |
| 897 | { | |
| 898 | /* Computing MIN */ | |
| 899 | i4 = 256; | |
| 900 | i5 = m - ii + 1; | |
| 901 | isec = min(i4,i5); | |
| 902 | uisec = isec - isec % 2; | |
| 903 | i4 = ll + ulsec - 1; | |
| 904 | for (l = ll; l <= i4; l += 2) | |
| 905 | { | |
| 906 | i5 = ii + uisec - 1; | |
| 907 | for (i = ii; i <= i5; i += 2) | |
| 908 | { | |
| 909 | t1[l - ll + 1 + ((i - ii + 1) << 8) - 257] = | |
| 910 | a[i + l * a_dim1]; | |
| 911 | t1[l - ll + 2 + ((i - ii + 1) << 8) - 257] = | |
| 912 | a[i + (l + 1) * a_dim1]; | |
| 913 | t1[l - ll + 1 + ((i - ii + 2) << 8) - 257] = | |
| 914 | a[i + 1 + l * a_dim1]; | |
| 915 | t1[l - ll + 2 + ((i - ii + 2) << 8) - 257] = | |
| 916 | a[i + 1 + (l + 1) * a_dim1]; | |
| 917 | } | |
| 918 | if (uisec < isec) | |
| 919 | { | |
| 920 | t1[l - ll + 1 + (isec << 8) - 257] = | |
| 921 | a[ii + isec - 1 + l * a_dim1]; | |
| 922 | t1[l - ll + 2 + (isec << 8) - 257] = | |
| 923 | a[ii + isec - 1 + (l + 1) * a_dim1]; | |
| 924 | } | |
| 925 | } | |
| 926 | if (ulsec < lsec) | |
| 927 | { | |
| 928 | i4 = ii + isec - 1; | |
| 929 | for (i = ii; i<= i4; ++i) | |
| 930 | { | |
| 931 | t1[lsec + ((i - ii + 1) << 8) - 257] = | |
| 932 | a[i + (ll + lsec - 1) * a_dim1]; | |
| 933 | } | |
| 934 | } | |
| 935 | ||
| 936 | uisec = isec - isec % 4; | |
| 937 | i4 = jj + ujsec - 1; | |
| 938 | for (j = jj; j <= i4; j += 4) | |
| 939 | { | |
| 940 | i5 = ii + uisec - 1; | |
| 941 | for (i = ii; i <= i5; i += 4) | |
| 942 | { | |
| 943 | f11 = c[i + j * c_dim1]; | |
| 944 | f21 = c[i + 1 + j * c_dim1]; | |
| 945 | f12 = c[i + (j + 1) * c_dim1]; | |
| 946 | f22 = c[i + 1 + (j + 1) * c_dim1]; | |
| 947 | f13 = c[i + (j + 2) * c_dim1]; | |
| 948 | f23 = c[i + 1 + (j + 2) * c_dim1]; | |
| 949 | f14 = c[i + (j + 3) * c_dim1]; | |
| 950 | f24 = c[i + 1 + (j + 3) * c_dim1]; | |
| 951 | f31 = c[i + 2 + j * c_dim1]; | |
| 952 | f41 = c[i + 3 + j * c_dim1]; | |
| 953 | f32 = c[i + 2 + (j + 1) * c_dim1]; | |
| 954 | f42 = c[i + 3 + (j + 1) * c_dim1]; | |
| 955 | f33 = c[i + 2 + (j + 2) * c_dim1]; | |
| 956 | f43 = c[i + 3 + (j + 2) * c_dim1]; | |
| 957 | f34 = c[i + 2 + (j + 3) * c_dim1]; | |
| 958 | f44 = c[i + 3 + (j + 3) * c_dim1]; | |
| 959 | i6 = ll + lsec - 1; | |
| 960 | for (l = ll; l <= i6; ++l) | |
| 961 | { | |
| 962 | f11 += t1[l - ll + 1 + ((i - ii + 1) << 8) - 257] | |
| 963 | * b[l + j * b_dim1]; | |
| 964 | f21 += t1[l - ll + 1 + ((i - ii + 2) << 8) - 257] | |
| 965 | * b[l + j * b_dim1]; | |
| 966 | f12 += t1[l - ll + 1 + ((i - ii + 1) << 8) - 257] | |
| 967 | * b[l + (j + 1) * b_dim1]; | |
| 968 | f22 += t1[l - ll + 1 + ((i - ii + 2) << 8) - 257] | |
| 969 | * b[l + (j + 1) * b_dim1]; | |
| 970 | f13 += t1[l - ll + 1 + ((i - ii + 1) << 8) - 257] | |
| 971 | * b[l + (j + 2) * b_dim1]; | |
| 972 | f23 += t1[l - ll + 1 + ((i - ii + 2) << 8) - 257] | |
| 973 | * b[l + (j + 2) * b_dim1]; | |
| 974 | f14 += t1[l - ll + 1 + ((i - ii + 1) << 8) - 257] | |
| 975 | * b[l + (j + 3) * b_dim1]; | |
| 976 | f24 += t1[l - ll + 1 + ((i - ii + 2) << 8) - 257] | |
| 977 | * b[l + (j + 3) * b_dim1]; | |
| 978 | f31 += t1[l - ll + 1 + ((i - ii + 3) << 8) - 257] | |
| 979 | * b[l + j * b_dim1]; | |
| 980 | f41 += t1[l - ll + 1 + ((i - ii + 4) << 8) - 257] | |
| 981 | * b[l + j * b_dim1]; | |
| 982 | f32 += t1[l - ll + 1 + ((i - ii + 3) << 8) - 257] | |
| 983 | * b[l + (j + 1) * b_dim1]; | |
| 984 | f42 += t1[l - ll + 1 + ((i - ii + 4) << 8) - 257] | |
| 985 | * b[l + (j + 1) * b_dim1]; | |
| 986 | f33 += t1[l - ll + 1 + ((i - ii + 3) << 8) - 257] | |
| 987 | * b[l + (j + 2) * b_dim1]; | |
| 988 | f43 += t1[l - ll + 1 + ((i - ii + 4) << 8) - 257] | |
| 989 | * b[l + (j + 2) * b_dim1]; | |
| 990 | f34 += t1[l - ll + 1 + ((i - ii + 3) << 8) - 257] | |
| 991 | * b[l + (j + 3) * b_dim1]; | |
| 992 | f44 += t1[l - ll + 1 + ((i - ii + 4) << 8) - 257] | |
| 993 | * b[l + (j + 3) * b_dim1]; | |
| 994 | } | |
| 995 | c[i + j * c_dim1] = f11; | |
| 996 | c[i + 1 + j * c_dim1] = f21; | |
| 997 | c[i + (j + 1) * c_dim1] = f12; | |
| 998 | c[i + 1 + (j + 1) * c_dim1] = f22; | |
| 999 | c[i + (j + 2) * c_dim1] = f13; | |
| 1000 | c[i + 1 + (j + 2) * c_dim1] = f23; | |
| 1001 | c[i + (j + 3) * c_dim1] = f14; | |
| 1002 | c[i + 1 + (j + 3) * c_dim1] = f24; | |
| 1003 | c[i + 2 + j * c_dim1] = f31; | |
| 1004 | c[i + 3 + j * c_dim1] = f41; | |
| 1005 | c[i + 2 + (j + 1) * c_dim1] = f32; | |
| 1006 | c[i + 3 + (j + 1) * c_dim1] = f42; | |
| 1007 | c[i + 2 + (j + 2) * c_dim1] = f33; | |
| 1008 | c[i + 3 + (j + 2) * c_dim1] = f43; | |
| 1009 | c[i + 2 + (j + 3) * c_dim1] = f34; | |
| 1010 | c[i + 3 + (j + 3) * c_dim1] = f44; | |
| 1011 | } | |
| 1012 | if (uisec < isec) | |
| 1013 | { | |
| 1014 | i5 = ii + isec - 1; | |
| 1015 | for (i = ii + uisec; i <= i5; ++i) | |
| 1016 | { | |
| 1017 | f11 = c[i + j * c_dim1]; | |
| 1018 | f12 = c[i + (j + 1) * c_dim1]; | |
| 1019 | f13 = c[i + (j + 2) * c_dim1]; | |
| 1020 | f14 = c[i + (j + 3) * c_dim1]; | |
| 1021 | i6 = ll + lsec - 1; | |
| 1022 | for (l = ll; l <= i6; ++l) | |
| 1023 | { | |
| 1024 | f11 += t1[l - ll + 1 + ((i - ii + 1) << 8) - | |
| 1025 | 257] * b[l + j * b_dim1]; | |
| 1026 | f12 += t1[l - ll + 1 + ((i - ii + 1) << 8) - | |
| 1027 | 257] * b[l + (j + 1) * b_dim1]; | |
| 1028 | f13 += t1[l - ll + 1 + ((i - ii + 1) << 8) - | |
| 1029 | 257] * b[l + (j + 2) * b_dim1]; | |
| 1030 | f14 += t1[l - ll + 1 + ((i - ii + 1) << 8) - | |
| 1031 | 257] * b[l + (j + 3) * b_dim1]; | |
| 1032 | } | |
| 1033 | c[i + j * c_dim1] = f11; | |
| 1034 | c[i + (j + 1) * c_dim1] = f12; | |
| 1035 | c[i + (j + 2) * c_dim1] = f13; | |
| 1036 | c[i + (j + 3) * c_dim1] = f14; | |
| 1037 | } | |
| 1038 | } | |
| 1039 | } | |
| 1040 | if (ujsec < jsec) | |
| 1041 | { | |
| 1042 | i4 = jj + jsec - 1; | |
| 1043 | for (j = jj + ujsec; j <= i4; ++j) | |
| 1044 | { | |
| 1045 | i5 = ii + uisec - 1; | |
| 1046 | for (i = ii; i <= i5; i += 4) | |
| 1047 | { | |
| 1048 | f11 = c[i + j * c_dim1]; | |
| 1049 | f21 = c[i + 1 + j * c_dim1]; | |
| 1050 | f31 = c[i + 2 + j * c_dim1]; | |
| 1051 | f41 = c[i + 3 + j * c_dim1]; | |
| 1052 | i6 = ll + lsec - 1; | |
| 1053 | for (l = ll; l <= i6; ++l) | |
| 1054 | { | |
| 1055 | f11 += t1[l - ll + 1 + ((i - ii + 1) << 8) - | |
| 1056 | 257] * b[l + j * b_dim1]; | |
| 1057 | f21 += t1[l - ll + 1 + ((i - ii + 2) << 8) - | |
| 1058 | 257] * b[l + j * b_dim1]; | |
| 1059 | f31 += t1[l - ll + 1 + ((i - ii + 3) << 8) - | |
| 1060 | 257] * b[l + j * b_dim1]; | |
| 1061 | f41 += t1[l - ll + 1 + ((i - ii + 4) << 8) - | |
| 1062 | 257] * b[l + j * b_dim1]; | |
| 1063 | } | |
| 1064 | c[i + j * c_dim1] = f11; | |
| 1065 | c[i + 1 + j * c_dim1] = f21; | |
| 1066 | c[i + 2 + j * c_dim1] = f31; | |
| 1067 | c[i + 3 + j * c_dim1] = f41; | |
| 1068 | } | |
| 1069 | i5 = ii + isec - 1; | |
| 1070 | for (i = ii + uisec; i <= i5; ++i) | |
| 1071 | { | |
| 1072 | f11 = c[i + j * c_dim1]; | |
| 1073 | i6 = ll + lsec - 1; | |
| 1074 | for (l = ll; l <= i6; ++l) | |
| 1075 | { | |
| 1076 | f11 += t1[l - ll + 1 + ((i - ii + 1) << 8) - | |
| 1077 | 257] * b[l + j * b_dim1]; | |
| 1078 | } | |
| 1079 | c[i + j * c_dim1] = f11; | |
| 1080 | } | |
| 1081 | } | |
| 1082 | } | |
| 1083 | } | |
| 1084 | } | |
| 1085 | } | |
| 1086 | free(t1); | |
| 1087 | return; | |
| 1088 | } | |
| 1089 | else if (rxstride == 1 && aystride == 1 && bxstride == 1) | |
| 1090 | { | |
| 1091 | if (GFC_DESCRIPTOR_RANK (a) != 1) | |
| 1092 | { | |
| 1093 | const GFC_COMPLEX_10 *restrict abase_x; | |
| 1094 | const GFC_COMPLEX_10 *restrict bbase_y; | |
| 1095 | GFC_COMPLEX_10 *restrict dest_y; | |
| 1096 | GFC_COMPLEX_10 s; | |
| 1097 | ||
| 1098 | for (y = 0; y < ycount; y++) | |
| 1099 | { | |
| 1100 | bbase_y = &bbase[y*bystride]; | |
| 1101 | dest_y = &dest[y*rystride]; | |
| 1102 | for (x = 0; x < xcount; x++) | |
| 1103 | { | |
| 1104 | abase_x = &abase[x*axstride]; | |
| 1105 | s = (GFC_COMPLEX_10) 0; | |
| 1106 | for (n = 0; n < count; n++) | |
| 1107 | s += abase_x[n] * bbase_y[n]; | |
| 1108 | dest_y[x] = s; | |
| 1109 | } | |
| 1110 | } | |
| 1111 | } | |
| 1112 | else | |
| 1113 | { | |
| 1114 | const GFC_COMPLEX_10 *restrict bbase_y; | |
| 1115 | GFC_COMPLEX_10 s; | |
| 1116 | ||
| 1117 | for (y = 0; y < ycount; y++) | |
| 1118 | { | |
| 1119 | bbase_y = &bbase[y*bystride]; | |
| 1120 | s = (GFC_COMPLEX_10) 0; | |
| 1121 | for (n = 0; n < count; n++) | |
| 1122 | s += abase[n*axstride] * bbase_y[n]; | |
| 1123 | dest[y*rystride] = s; | |
| 1124 | } | |
| 1125 | } | |
| 1126 | } | |
| 1127 | else if (axstride < aystride) | |
| 1128 | { | |
| 1129 | for (y = 0; y < ycount; y++) | |
| 1130 | for (x = 0; x < xcount; x++) | |
| 1131 | dest[x*rxstride + y*rystride] = (GFC_COMPLEX_10)0; | |
| 1132 | ||
| 1133 | for (y = 0; y < ycount; y++) | |
| 1134 | for (n = 0; n < count; n++) | |
| 1135 | for (x = 0; x < xcount; x++) | |
| 1136 | /* dest[x,y] += a[x,n] * b[n,y] */ | |
| 1137 | dest[x*rxstride + y*rystride] += | |
| 1138 | abase[x*axstride + n*aystride] * | |
| 1139 | bbase[n*bxstride + y*bystride]; | |
| 1140 | } | |
| 1141 | else if (GFC_DESCRIPTOR_RANK (a) == 1) | |
| 1142 | { | |
| 1143 | const GFC_COMPLEX_10 *restrict bbase_y; | |
| 1144 | GFC_COMPLEX_10 s; | |
| 1145 | ||
| 1146 | for (y = 0; y < ycount; y++) | |
| 1147 | { | |
| 1148 | bbase_y = &bbase[y*bystride]; | |
| 1149 | s = (GFC_COMPLEX_10) 0; | |
| 1150 | for (n = 0; n < count; n++) | |
| 1151 | s += abase[n*axstride] * bbase_y[n*bxstride]; | |
| 1152 | dest[y*rxstride] = s; | |
| 1153 | } | |
| 1154 | } | |
| 1155 | else | |
| 1156 | { | |
| 1157 | const GFC_COMPLEX_10 *restrict abase_x; | |
| 1158 | const GFC_COMPLEX_10 *restrict bbase_y; | |
| 1159 | GFC_COMPLEX_10 *restrict dest_y; | |
| 1160 | GFC_COMPLEX_10 s; | |
| 1161 | ||
| 1162 | for (y = 0; y < ycount; y++) | |
| 1163 | { | |
| 1164 | bbase_y = &bbase[y*bystride]; | |
| 1165 | dest_y = &dest[y*rystride]; | |
| 1166 | for (x = 0; x < xcount; x++) | |
| 1167 | { | |
| 1168 | abase_x = &abase[x*axstride]; | |
| 1169 | s = (GFC_COMPLEX_10) 0; | |
| 1170 | for (n = 0; n < count; n++) | |
| 1171 | s += abase_x[n*aystride] * bbase_y[n*bxstride]; | |
| 1172 | dest_y[x*rxstride] = s; | |
| 1173 | } | |
| 1174 | } | |
| 1175 | } | |
| 1176 | } | |
| 1177 | #undef POW3 | |
| 1178 | #undef min | |
| 1179 | #undef max | |
| 1180 | ||
| 1181 | #endif | |
| 1182 | ||
| 1183 | #endif | |
| 1184 |