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644cb69f 1/* Implementation of the MATMUL intrinsic
99dee823 2 Copyright (C) 2002-2021 Free Software Foundation, Inc.
644cb69f
FXC		 3 Contributed by Paul Brook <paul@nowt.org>
4
21d1335b 5This file is part of the GNU Fortran runtime library (libgfortran).
644cb69f
FXC		 6
7Libgfortran is free software; you can redistribute it and/or
8modify it under the terms of the GNU General Public
9License as published by the Free Software Foundation; either
748086b7 10version 3 of the License, or (at your option) any later version.
644cb69f
FXC		 11
12Libgfortran is distributed in the hope that it will be useful,
13but WITHOUT ANY WARRANTY; without even the implied warranty of
14MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
15GNU General Public License for more details.
16
748086b7
JJ		 17Under Section 7 of GPL version 3, you are granted additional
18permissions described in the GCC Runtime Library Exception, version
193.1, as published by the Free Software Foundation.
20
21You should have received a copy of the GNU General Public License and
22a copy of the GCC Runtime Library Exception along with this program;
23see the files COPYING3 and COPYING.RUNTIME respectively. If not, see
24<http://www.gnu.org/licenses/>. */
644cb69f 25
36ae8a61 26#include "libgfortran.h"
644cb69f
FXC		 27#include <string.h>
28#include <assert.h>
36ae8a61 29
644cb69f
FXC		 30
31#if defined (HAVE_GFC_REAL_16)
32
5a0aad31 33/* Prototype for the BLAS ?gemm subroutine, a pointer to which can be
5d70ab07 34 passed to us by the front-end, in which case we call it for large
5a0aad31
FXC		 35 matrices. */
36
37typedef void (*blas_call)(const char *, const char *, const int *, const int *,
38 const int *, const GFC_REAL_16 *, const GFC_REAL_16 *,
39 const int *, const GFC_REAL_16 *, const int *,
40 const GFC_REAL_16 *, GFC_REAL_16 *, const int *,
41 int, int);
42
1524f80b
RS		 43/* The order of loops is different in the case of plain matrix
44 multiplication C=MATMUL(A,B), and in the frequent special case where
45 the argument A is the temporary result of a TRANSPOSE intrinsic:
46 C=MATMUL(TRANSPOSE(A),B). Transposed temporaries are detected by
47 looking at their strides.
48
49 The equivalent Fortran pseudo-code is:
644cb69f
FXC		 50
51 DIMENSION A(M,COUNT), B(COUNT,N), C(M,N)
1524f80b
RS		 52 IF (.NOT.IS_TRANSPOSED(A)) THEN
53 C = 0
54 DO J=1,N
55 DO K=1,COUNT
56 DO I=1,M
57 C(I,J) = C(I,J)+A(I,K)*B(K,J)
58 ELSE
59 DO J=1,N
644cb69f 60 DO I=1,M
1524f80b
RS		 61 S = 0
62 DO K=1,COUNT
5a0aad31 63 S = S+A(I,K)*B(K,J)
1524f80b
RS		 64 C(I,J) = S
65 ENDIF
644cb69f
FXC		 66*/
67
5a0aad31
FXC		 68/* If try_blas is set to a nonzero value, then the matmul function will
69 see if there is a way to perform the matrix multiplication by a call
70 to the BLAS gemm function. */
71
85206901 72extern void matmul_r16 (gfc_array_r16 * const restrict retarray,
5a0aad31
FXC		 73 gfc_array_r16 * const restrict a, gfc_array_r16 * const restrict b, int try_blas,
74 int blas_limit, blas_call gemm);
644cb69f
FXC		 75export_proto(matmul_r16);
76
31cfd832
TK		 77/* Put exhaustive list of possible architectures here here, ORed together. */
78
79#if defined(HAVE_AVX) || defined(HAVE_AVX2) || defined(HAVE_AVX512F)
80
81#ifdef HAVE_AVX
82static void
83matmul_r16_avx (gfc_array_r16 * const restrict retarray,
84 gfc_array_r16 * const restrict a, gfc_array_r16 * const restrict b, int try_blas,
85 int blas_limit, blas_call gemm) __attribute__((__target__("avx")));
86static void
87matmul_r16_avx (gfc_array_r16 * const restrict retarray,
88 gfc_array_r16 * const restrict a, gfc_array_r16 * const restrict b, int try_blas,
89 int blas_limit, blas_call gemm)
90{
91 const GFC_REAL_16 * restrict abase;
92 const GFC_REAL_16 * restrict bbase;
93 GFC_REAL_16 * restrict dest;
94
95 index_type rxstride, rystride, axstride, aystride, bxstride, bystride;
96 index_type x, y, n, count, xcount, ycount;
97
98 assert (GFC_DESCRIPTOR_RANK (a) == 2
99 || GFC_DESCRIPTOR_RANK (b) == 2);
100
101/* C[xcount,ycount] = A[xcount, count] * B[count,ycount]
102
103 Either A or B (but not both) can be rank 1:
104
105 o One-dimensional argument A is implicitly treated as a row matrix
106 dimensioned [1,count], so xcount=1.
107
108 o One-dimensional argument B is implicitly treated as a column matrix
109 dimensioned [count, 1], so ycount=1.
110*/
111
112 if (retarray->base_addr == NULL)
113 {
114 if (GFC_DESCRIPTOR_RANK (a) == 1)
115 {
116 GFC_DIMENSION_SET(retarray->dim[0], 0,
117 GFC_DESCRIPTOR_EXTENT(b,1) - 1, 1);
118 }
119 else if (GFC_DESCRIPTOR_RANK (b) == 1)
120 {
121 GFC_DIMENSION_SET(retarray->dim[0], 0,
122 GFC_DESCRIPTOR_EXTENT(a,0) - 1, 1);
123 }
124 else
125 {
126 GFC_DIMENSION_SET(retarray->dim[0], 0,
127 GFC_DESCRIPTOR_EXTENT(a,0) - 1, 1);
128
129 GFC_DIMENSION_SET(retarray->dim[1], 0,
130 GFC_DESCRIPTOR_EXTENT(b,1) - 1,
131 GFC_DESCRIPTOR_EXTENT(retarray,0));
132 }
133
134 retarray->base_addr
135 = xmallocarray (size0 ((array_t *) retarray), sizeof (GFC_REAL_16));
136 retarray->offset = 0;
137 }
138 else if (unlikely (compile_options.bounds_check))
139 {
140 index_type ret_extent, arg_extent;
141
142 if (GFC_DESCRIPTOR_RANK (a) == 1)
143 {
144 arg_extent = GFC_DESCRIPTOR_EXTENT(b,1);
145 ret_extent = GFC_DESCRIPTOR_EXTENT(retarray,0);
146 if (arg_extent != ret_extent)
ed33417a
TK		 147 runtime_error ("Array bound mismatch for dimension 1 of "
148 "array (%ld/%ld) ",
31cfd832
TK		 149 (long int) ret_extent, (long int) arg_extent);
150 }
151 else if (GFC_DESCRIPTOR_RANK (b) == 1)
152 {
153 arg_extent = GFC_DESCRIPTOR_EXTENT(a,0);
154 ret_extent = GFC_DESCRIPTOR_EXTENT(retarray,0);
155 if (arg_extent != ret_extent)
ed33417a
TK		 156 runtime_error ("Array bound mismatch for dimension 1 of "
157 "array (%ld/%ld) ",
31cfd832
TK		 158 (long int) ret_extent, (long int) arg_extent);
159 }
160 else
161 {
162 arg_extent = GFC_DESCRIPTOR_EXTENT(a,0);
163 ret_extent = GFC_DESCRIPTOR_EXTENT(retarray,0);
164 if (arg_extent != ret_extent)
ed33417a
TK		 165 runtime_error ("Array bound mismatch for dimension 1 of "
166 "array (%ld/%ld) ",
31cfd832
TK		 167 (long int) ret_extent, (long int) arg_extent);
168
169 arg_extent = GFC_DESCRIPTOR_EXTENT(b,1);
170 ret_extent = GFC_DESCRIPTOR_EXTENT(retarray,1);
171 if (arg_extent != ret_extent)
ed33417a
TK		 172 runtime_error ("Array bound mismatch for dimension 2 of "
173 "array (%ld/%ld) ",
31cfd832
TK		 174 (long int) ret_extent, (long int) arg_extent);
175 }
176 }
177
178
179 if (GFC_DESCRIPTOR_RANK (retarray) == 1)
180 {
181 /* One-dimensional result may be addressed in the code below
182 either as a row or a column matrix. We want both cases to
183 work. */
184 rxstride = rystride = GFC_DESCRIPTOR_STRIDE(retarray,0);
185 }
186 else
187 {
188 rxstride = GFC_DESCRIPTOR_STRIDE(retarray,0);
189 rystride = GFC_DESCRIPTOR_STRIDE(retarray,1);
190 }
191
192
193 if (GFC_DESCRIPTOR_RANK (a) == 1)
194 {
195 /* Treat it as a a row matrix A[1,count]. */
196 axstride = GFC_DESCRIPTOR_STRIDE(a,0);
197 aystride = 1;
198
199 xcount = 1;
200 count = GFC_DESCRIPTOR_EXTENT(a,0);
201 }
202 else
203 {
204 axstride = GFC_DESCRIPTOR_STRIDE(a,0);
205 aystride = GFC_DESCRIPTOR_STRIDE(a,1);
206
207 count = GFC_DESCRIPTOR_EXTENT(a,1);
208 xcount = GFC_DESCRIPTOR_EXTENT(a,0);
209 }
210
211 if (count != GFC_DESCRIPTOR_EXTENT(b,0))
212 {
213 if (count > 0 || GFC_DESCRIPTOR_EXTENT(b,0) > 0)
ed33417a
TK		 214 runtime_error ("Incorrect extent in argument B in MATMUL intrinsic "
215 "in dimension 1: is %ld, should be %ld",
216 (long int) GFC_DESCRIPTOR_EXTENT(b,0), (long int) count);
31cfd832
TK		 217 }
218
219 if (GFC_DESCRIPTOR_RANK (b) == 1)
220 {
221 /* Treat it as a column matrix B[count,1] */
222 bxstride = GFC_DESCRIPTOR_STRIDE(b,0);
223
224 /* bystride should never be used for 1-dimensional b.
6ce6a84a
TK		 225 The value is only used for calculation of the
226 memory by the buffer. */
227 bystride = 256;
31cfd832
TK		 228 ycount = 1;
229 }
230 else
231 {
232 bxstride = GFC_DESCRIPTOR_STRIDE(b,0);
233 bystride = GFC_DESCRIPTOR_STRIDE(b,1);
234 ycount = GFC_DESCRIPTOR_EXTENT(b,1);
235 }
236
237 abase = a->base_addr;
238 bbase = b->base_addr;
239 dest = retarray->base_addr;
240
241 /* Now that everything is set up, we perform the multiplication
242 itself. */
243
244#define POW3(x) (((float) (x)) * ((float) (x)) * ((float) (x)))
245#define min(a,b) ((a) <= (b) ? (a) : (b))
246#define max(a,b) ((a) >= (b) ? (a) : (b))
247
248 if (try_blas && rxstride == 1 && (axstride == 1 || aystride == 1)
249 && (bxstride == 1 || bystride == 1)
250 && (((float) xcount) * ((float) ycount) * ((float) count)
251 > POW3(blas_limit)))
252 {
253 const int m = xcount, n = ycount, k = count, ldc = rystride;
254 const GFC_REAL_16 one = 1, zero = 0;
255 const int lda = (axstride == 1) ? aystride : axstride,
256 ldb = (bxstride == 1) ? bystride : bxstride;
257
258 if (lda > 0 && ldb > 0 && ldc > 0 && m > 1 && n > 1 && k > 1)
259 {
260 assert (gemm != NULL);
ed33417a
TK		 261 const char *transa, *transb;
262 if (try_blas & 2)
263 transa = "C";
264 else
265 transa = axstride == 1 ? "N" : "T";
266
267 if (try_blas & 4)
268 transb = "C";
269 else
270 transb = bxstride == 1 ? "N" : "T";
271
272 gemm (transa, transb , &m,
31cfd832
TK		 273 &n, &k, &one, abase, &lda, bbase, &ldb, &zero, dest,
274 &ldc, 1, 1);
275 return;
276 }
277 }
278
279 if (rxstride == 1 && axstride == 1 && bxstride == 1)
280 {
281 /* This block of code implements a tuned matmul, derived from
282 Superscalar GEMM-based level 3 BLAS, Beta version 0.1
283
284 Bo Kagstrom and Per Ling
285 Department of Computing Science
286 Umea University
287 S-901 87 Umea, Sweden
288
289 from netlib.org, translated to C, and modified for matmul.m4. */
290
291 const GFC_REAL_16 *a, *b;
292 GFC_REAL_16 *c;
293 const index_type m = xcount, n = ycount, k = count;
294
295 /* System generated locals */
296 index_type a_dim1, a_offset, b_dim1, b_offset, c_dim1, c_offset,
297 i1, i2, i3, i4, i5, i6;
298
299 /* Local variables */
fd991039 300 GFC_REAL_16 f11, f12, f21, f22, f31, f32, f41, f42,
31cfd832
TK		 301 f13, f14, f23, f24, f33, f34, f43, f44;
302 index_type i, j, l, ii, jj, ll;
303 index_type isec, jsec, lsec, uisec, ujsec, ulsec;
8e5f30dc 304 GFC_REAL_16 *t1;
31cfd832
TK		 305
306 a = abase;
307 b = bbase;
308 c = retarray->base_addr;
309
310 /* Parameter adjustments */
311 c_dim1 = rystride;
312 c_offset = 1 + c_dim1;
313 c -= c_offset;
314 a_dim1 = aystride;
315 a_offset = 1 + a_dim1;
316 a -= a_offset;
317 b_dim1 = bystride;
318 b_offset = 1 + b_dim1;
319 b -= b_offset;
320
bbf97416
TK		 321 /* Empty c first. */
322 for (j=1; j<=n; j++)
323 for (i=1; i<=m; i++)
324 c[i + j * c_dim1] = (GFC_REAL_16)0;
325
31cfd832
TK		 326 /* Early exit if possible */
327 if (m == 0 || n == 0 || k == 0)
328 return;
329
fd991039 330 /* Adjust size of t1 to what is needed. */
4f4fabd7
TK		 331 index_type t1_dim, a_sz;
332 if (aystride == 1)
333 a_sz = rystride;
334 else
335 a_sz = a_dim1;
336
337 t1_dim = a_sz * 256 + b_dim1;
fd991039
TK		 338 if (t1_dim > 65536)
339 t1_dim = 65536;
340
8e5f30dc 341 t1 = malloc (t1_dim * sizeof(GFC_REAL_16));
fd991039 342
31cfd832
TK		 343 /* Start turning the crank. */
344 i1 = n;
345 for (jj = 1; jj <= i1; jj += 512)
346 {
347 /* Computing MIN */
348 i2 = 512;
349 i3 = n - jj + 1;
350 jsec = min(i2,i3);
351 ujsec = jsec - jsec % 4;
352 i2 = k;
353 for (ll = 1; ll <= i2; ll += 256)
354 {
355 /* Computing MIN */
356 i3 = 256;
357 i4 = k - ll + 1;
358 lsec = min(i3,i4);
359 ulsec = lsec - lsec % 2;
360
361 i3 = m;
362 for (ii = 1; ii <= i3; ii += 256)
363 {
364 /* Computing MIN */
365 i4 = 256;
366 i5 = m - ii + 1;
367 isec = min(i4,i5);
368 uisec = isec - isec % 2;
369 i4 = ll + ulsec - 1;
370 for (l = ll; l <= i4; l += 2)
371 {
372 i5 = ii + uisec - 1;
373 for (i = ii; i <= i5; i += 2)
374 {
375 t1[l - ll + 1 + ((i - ii + 1) << 8) - 257] =
376 a[i + l * a_dim1];
377 t1[l - ll + 2 + ((i - ii + 1) << 8) - 257] =
378 a[i + (l + 1) * a_dim1];
379 t1[l - ll + 1 + ((i - ii + 2) << 8) - 257] =
380 a[i + 1 + l * a_dim1];
381 t1[l - ll + 2 + ((i - ii + 2) << 8) - 257] =
382 a[i + 1 + (l + 1) * a_dim1];
383 }
384 if (uisec < isec)
385 {
386 t1[l - ll + 1 + (isec << 8) - 257] =
387 a[ii + isec - 1 + l * a_dim1];
388 t1[l - ll + 2 + (isec << 8) - 257] =
389 a[ii + isec - 1 + (l + 1) * a_dim1];
390 }
391 }
392 if (ulsec < lsec)
393 {
394 i4 = ii + isec - 1;
395 for (i = ii; i<= i4; ++i)
396 {
397 t1[lsec + ((i - ii + 1) << 8) - 257] =
398 a[i + (ll + lsec - 1) * a_dim1];
399 }
400 }
401
402 uisec = isec - isec % 4;
403 i4 = jj + ujsec - 1;
404 for (j = jj; j <= i4; j += 4)
405 {
406 i5 = ii + uisec - 1;
407 for (i = ii; i <= i5; i += 4)
408 {
409 f11 = c[i + j * c_dim1];
410 f21 = c[i + 1 + j * c_dim1];
411 f12 = c[i + (j + 1) * c_dim1];
412 f22 = c[i + 1 + (j + 1) * c_dim1];
413 f13 = c[i + (j + 2) * c_dim1];
414 f23 = c[i + 1 + (j + 2) * c_dim1];
415 f14 = c[i + (j + 3) * c_dim1];
416 f24 = c[i + 1 + (j + 3) * c_dim1];
417 f31 = c[i + 2 + j * c_dim1];
418 f41 = c[i + 3 + j * c_dim1];
419 f32 = c[i + 2 + (j + 1) * c_dim1];
420 f42 = c[i + 3 + (j + 1) * c_dim1];
421 f33 = c[i + 2 + (j + 2) * c_dim1];
422 f43 = c[i + 3 + (j + 2) * c_dim1];
423 f34 = c[i + 2 + (j + 3) * c_dim1];
424 f44 = c[i + 3 + (j + 3) * c_dim1];
425 i6 = ll + lsec - 1;
426 for (l = ll; l <= i6; ++l)
427 {
428 f11 += t1[l - ll + 1 + ((i - ii + 1) << 8) - 257]
429 * b[l + j * b_dim1];
430 f21 += t1[l - ll + 1 + ((i - ii + 2) << 8) - 257]
431 * b[l + j * b_dim1];
432 f12 += t1[l - ll + 1 + ((i - ii + 1) << 8) - 257]
433 * b[l + (j + 1) * b_dim1];
434 f22 += t1[l - ll + 1 + ((i - ii + 2) << 8) - 257]
435 * b[l + (j + 1) * b_dim1];
436 f13 += t1[l - ll + 1 + ((i - ii + 1) << 8) - 257]
437 * b[l + (j + 2) * b_dim1];
438 f23 += t1[l - ll + 1 + ((i - ii + 2) << 8) - 257]
439 * b[l + (j + 2) * b_dim1];
440 f14 += t1[l - ll + 1 + ((i - ii + 1) << 8) - 257]
441 * b[l + (j + 3) * b_dim1];
442 f24 += t1[l - ll + 1 + ((i - ii + 2) << 8) - 257]
443 * b[l + (j + 3) * b_dim1];
444 f31 += t1[l - ll + 1 + ((i - ii + 3) << 8) - 257]
445 * b[l + j * b_dim1];
446 f41 += t1[l - ll + 1 + ((i - ii + 4) << 8) - 257]
447 * b[l + j * b_dim1];
448 f32 += t1[l - ll + 1 + ((i - ii + 3) << 8) - 257]
449 * b[l + (j + 1) * b_dim1];
450 f42 += t1[l - ll + 1 + ((i - ii + 4) << 8) - 257]
451 * b[l + (j + 1) * b_dim1];
452 f33 += t1[l - ll + 1 + ((i - ii + 3) << 8) - 257]
453 * b[l + (j + 2) * b_dim1];
454 f43 += t1[l - ll + 1 + ((i - ii + 4) << 8) - 257]
455 * b[l + (j + 2) * b_dim1];
456 f34 += t1[l - ll + 1 + ((i - ii + 3) << 8) - 257]
457 * b[l + (j + 3) * b_dim1];
458 f44 += t1[l - ll + 1 + ((i - ii + 4) << 8) - 257]
459 * b[l + (j + 3) * b_dim1];
460 }
461 c[i + j * c_dim1] = f11;
462 c[i + 1 + j * c_dim1] = f21;
463 c[i + (j + 1) * c_dim1] = f12;
464 c[i + 1 + (j + 1) * c_dim1] = f22;
465 c[i + (j + 2) * c_dim1] = f13;
466 c[i + 1 + (j + 2) * c_dim1] = f23;
467 c[i + (j + 3) * c_dim1] = f14;
468 c[i + 1 + (j + 3) * c_dim1] = f24;
469 c[i + 2 + j * c_dim1] = f31;
470 c[i + 3 + j * c_dim1] = f41;
471 c[i + 2 + (j + 1) * c_dim1] = f32;
472 c[i + 3 + (j + 1) * c_dim1] = f42;
473 c[i + 2 + (j + 2) * c_dim1] = f33;
474 c[i + 3 + (j + 2) * c_dim1] = f43;
475 c[i + 2 + (j + 3) * c_dim1] = f34;
476 c[i + 3 + (j + 3) * c_dim1] = f44;
477 }
478 if (uisec < isec)
479 {
480 i5 = ii + isec - 1;
481 for (i = ii + uisec; i <= i5; ++i)
482 {
483 f11 = c[i + j * c_dim1];
484 f12 = c[i + (j + 1) * c_dim1];
485 f13 = c[i + (j + 2) * c_dim1];
486 f14 = c[i + (j + 3) * c_dim1];
487 i6 = ll + lsec - 1;
488 for (l = ll; l <= i6; ++l)
489 {
490 f11 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
491 257] * b[l + j * b_dim1];
492 f12 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
493 257] * b[l + (j + 1) * b_dim1];
494 f13 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
495 257] * b[l + (j + 2) * b_dim1];
496 f14 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
497 257] * b[l + (j + 3) * b_dim1];
498 }
499 c[i + j * c_dim1] = f11;
500 c[i + (j + 1) * c_dim1] = f12;
501 c[i + (j + 2) * c_dim1] = f13;
502 c[i + (j + 3) * c_dim1] = f14;
503 }
504 }
505 }
506 if (ujsec < jsec)
507 {
508 i4 = jj + jsec - 1;
509 for (j = jj + ujsec; j <= i4; ++j)
510 {
511 i5 = ii + uisec - 1;
512 for (i = ii; i <= i5; i += 4)
513 {
514 f11 = c[i + j * c_dim1];
515 f21 = c[i + 1 + j * c_dim1];
516 f31 = c[i + 2 + j * c_dim1];
517 f41 = c[i + 3 + j * c_dim1];
518 i6 = ll + lsec - 1;
519 for (l = ll; l <= i6; ++l)
520 {
521 f11 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
522 257] * b[l + j * b_dim1];
523 f21 += t1[l - ll + 1 + ((i - ii + 2) << 8) -
524 257] * b[l + j * b_dim1];
525 f31 += t1[l - ll + 1 + ((i - ii + 3) << 8) -
526 257] * b[l + j * b_dim1];
527 f41 += t1[l - ll + 1 + ((i - ii + 4) << 8) -
528 257] * b[l + j * b_dim1];
529 }
530 c[i + j * c_dim1] = f11;
531 c[i + 1 + j * c_dim1] = f21;
532 c[i + 2 + j * c_dim1] = f31;
533 c[i + 3 + j * c_dim1] = f41;
534 }
535 i5 = ii + isec - 1;
536 for (i = ii + uisec; i <= i5; ++i)
537 {
538 f11 = c[i + j * c_dim1];
539 i6 = ll + lsec - 1;
540 for (l = ll; l <= i6; ++l)
541 {
542 f11 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
543 257] * b[l + j * b_dim1];
544 }
545 c[i + j * c_dim1] = f11;
546 }
547 }
548 }
549 }
550 }
551 }
8e5f30dc 552 free(t1);
31cfd832
TK		 553 return;
554 }
555 else if (rxstride == 1 && aystride == 1 && bxstride == 1)
556 {
557 if (GFC_DESCRIPTOR_RANK (a) != 1)
558 {
559 const GFC_REAL_16 *restrict abase_x;
560 const GFC_REAL_16 *restrict bbase_y;
561 GFC_REAL_16 *restrict dest_y;
562 GFC_REAL_16 s;
563
564 for (y = 0; y < ycount; y++)
565 {
566 bbase_y = &bbase[y*bystride];
567 dest_y = &dest[y*rystride];
568 for (x = 0; x < xcount; x++)
569 {
570 abase_x = &abase[x*axstride];
571 s = (GFC_REAL_16) 0;
572 for (n = 0; n < count; n++)
573 s += abase_x[n] * bbase_y[n];
574 dest_y[x] = s;
575 }
576 }
577 }
578 else
579 {
580 const GFC_REAL_16 *restrict bbase_y;
581 GFC_REAL_16 s;
582
583 for (y = 0; y < ycount; y++)
584 {
585 bbase_y = &bbase[y*bystride];
586 s = (GFC_REAL_16) 0;
587 for (n = 0; n < count; n++)
588 s += abase[n*axstride] * bbase_y[n];
589 dest[y*rystride] = s;
590 }
591 }
592 }
31cfd832
TK		 593 else if (GFC_DESCRIPTOR_RANK (a) == 1)
594 {
595 const GFC_REAL_16 *restrict bbase_y;
596 GFC_REAL_16 s;
597
598 for (y = 0; y < ycount; y++)
599 {
600 bbase_y = &bbase[y*bystride];
601 s = (GFC_REAL_16) 0;
602 for (n = 0; n < count; n++)
603 s += abase[n*axstride] * bbase_y[n*bxstride];
604 dest[y*rxstride] = s;
605 }
606 }
cd6cd6ae
HA		 607 else if (axstride < aystride)
608 {
609 for (y = 0; y < ycount; y++)
610 for (x = 0; x < xcount; x++)
611 dest[x*rxstride + y*rystride] = (GFC_REAL_16)0;
612
613 for (y = 0; y < ycount; y++)
614 for (n = 0; n < count; n++)
615 for (x = 0; x < xcount; x++)
616 /* dest[x,y] += a[x,n] * b[n,y] */
617 dest[x*rxstride + y*rystride] +=
618 abase[x*axstride + n*aystride] *
619 bbase[n*bxstride + y*bystride];
620 }
31cfd832
TK		 621 else
622 {
623 const GFC_REAL_16 *restrict abase_x;
624 const GFC_REAL_16 *restrict bbase_y;
625 GFC_REAL_16 *restrict dest_y;
626 GFC_REAL_16 s;
627
628 for (y = 0; y < ycount; y++)
629 {
630 bbase_y = &bbase[y*bystride];
631 dest_y = &dest[y*rystride];
632 for (x = 0; x < xcount; x++)
633 {
634 abase_x = &abase[x*axstride];
635 s = (GFC_REAL_16) 0;
636 for (n = 0; n < count; n++)
637 s += abase_x[n*aystride] * bbase_y[n*bxstride];
638 dest_y[x*rxstride] = s;
639 }
640 }
641 }
642}
643#undef POW3
644#undef min
645#undef max
646
647#endif /* HAVE_AVX */
648
649#ifdef HAVE_AVX2
650static void
651matmul_r16_avx2 (gfc_array_r16 * const restrict retarray,
652 gfc_array_r16 * const restrict a, gfc_array_r16 * const restrict b, int try_blas,
6d03bdcc 653 int blas_limit, blas_call gemm) __attribute__((__target__("avx2,fma")));
31cfd832
TK		 654static void
655matmul_r16_avx2 (gfc_array_r16 * const restrict retarray,
656 gfc_array_r16 * const restrict a, gfc_array_r16 * const restrict b, int try_blas,
657 int blas_limit, blas_call gemm)
658{
659 const GFC_REAL_16 * restrict abase;
660 const GFC_REAL_16 * restrict bbase;
661 GFC_REAL_16 * restrict dest;
662
663 index_type rxstride, rystride, axstride, aystride, bxstride, bystride;
664 index_type x, y, n, count, xcount, ycount;
665
666 assert (GFC_DESCRIPTOR_RANK (a) == 2
667 || GFC_DESCRIPTOR_RANK (b) == 2);
668
669/* C[xcount,ycount] = A[xcount, count] * B[count,ycount]
670
671 Either A or B (but not both) can be rank 1:
672
673 o One-dimensional argument A is implicitly treated as a row matrix
674 dimensioned [1,count], so xcount=1.
675
676 o One-dimensional argument B is implicitly treated as a column matrix
677 dimensioned [count, 1], so ycount=1.
678*/
679
680 if (retarray->base_addr == NULL)
681 {
682 if (GFC_DESCRIPTOR_RANK (a) == 1)
683 {
684 GFC_DIMENSION_SET(retarray->dim[0], 0,
685 GFC_DESCRIPTOR_EXTENT(b,1) - 1, 1);
686 }
687 else if (GFC_DESCRIPTOR_RANK (b) == 1)
688 {
689 GFC_DIMENSION_SET(retarray->dim[0], 0,
690 GFC_DESCRIPTOR_EXTENT(a,0) - 1, 1);
691 }
692 else
693 {
694 GFC_DIMENSION_SET(retarray->dim[0], 0,
695 GFC_DESCRIPTOR_EXTENT(a,0) - 1, 1);
696
697 GFC_DIMENSION_SET(retarray->dim[1], 0,
698 GFC_DESCRIPTOR_EXTENT(b,1) - 1,
699 GFC_DESCRIPTOR_EXTENT(retarray,0));
700 }
701
702 retarray->base_addr
703 = xmallocarray (size0 ((array_t *) retarray), sizeof (GFC_REAL_16));
704 retarray->offset = 0;
705 }
706 else if (unlikely (compile_options.bounds_check))
707 {
708 index_type ret_extent, arg_extent;
709
710 if (GFC_DESCRIPTOR_RANK (a) == 1)
711 {
712 arg_extent = GFC_DESCRIPTOR_EXTENT(b,1);
713 ret_extent = GFC_DESCRIPTOR_EXTENT(retarray,0);
714 if (arg_extent != ret_extent)
ed33417a
TK		 715 runtime_error ("Array bound mismatch for dimension 1 of "
716 "array (%ld/%ld) ",
31cfd832
TK		 717 (long int) ret_extent, (long int) arg_extent);
718 }
719 else if (GFC_DESCRIPTOR_RANK (b) == 1)
720 {
721 arg_extent = GFC_DESCRIPTOR_EXTENT(a,0);
722 ret_extent = GFC_DESCRIPTOR_EXTENT(retarray,0);
723 if (arg_extent != ret_extent)
ed33417a
TK		 724 runtime_error ("Array bound mismatch for dimension 1 of "
725 "array (%ld/%ld) ",
31cfd832
TK		 726 (long int) ret_extent, (long int) arg_extent);
727 }
728 else
729 {
730 arg_extent = GFC_DESCRIPTOR_EXTENT(a,0);
731 ret_extent = GFC_DESCRIPTOR_EXTENT(retarray,0);
732 if (arg_extent != ret_extent)
ed33417a
TK		 733 runtime_error ("Array bound mismatch for dimension 1 of "
734 "array (%ld/%ld) ",
31cfd832
TK		 735 (long int) ret_extent, (long int) arg_extent);
736
737 arg_extent = GFC_DESCRIPTOR_EXTENT(b,1);
738 ret_extent = GFC_DESCRIPTOR_EXTENT(retarray,1);
739 if (arg_extent != ret_extent)
ed33417a
TK		 740 runtime_error ("Array bound mismatch for dimension 2 of "
741 "array (%ld/%ld) ",
31cfd832
TK		 742 (long int) ret_extent, (long int) arg_extent);
743 }
744 }
745
746
747 if (GFC_DESCRIPTOR_RANK (retarray) == 1)
748 {
749 /* One-dimensional result may be addressed in the code below
750 either as a row or a column matrix. We want both cases to
751 work. */
752 rxstride = rystride = GFC_DESCRIPTOR_STRIDE(retarray,0);
753 }
754 else
755 {
756 rxstride = GFC_DESCRIPTOR_STRIDE(retarray,0);
757 rystride = GFC_DESCRIPTOR_STRIDE(retarray,1);
758 }
759
760
761 if (GFC_DESCRIPTOR_RANK (a) == 1)
762 {
763 /* Treat it as a a row matrix A[1,count]. */
764 axstride = GFC_DESCRIPTOR_STRIDE(a,0);
765 aystride = 1;
766
767 xcount = 1;
768 count = GFC_DESCRIPTOR_EXTENT(a,0);
769 }
770 else
771 {
772 axstride = GFC_DESCRIPTOR_STRIDE(a,0);
773 aystride = GFC_DESCRIPTOR_STRIDE(a,1);
774
775 count = GFC_DESCRIPTOR_EXTENT(a,1);
776 xcount = GFC_DESCRIPTOR_EXTENT(a,0);
777 }
778
779 if (count != GFC_DESCRIPTOR_EXTENT(b,0))
780 {
781 if (count > 0 || GFC_DESCRIPTOR_EXTENT(b,0) > 0)
ed33417a
TK		 782 runtime_error ("Incorrect extent in argument B in MATMUL intrinsic "
783 "in dimension 1: is %ld, should be %ld",
784 (long int) GFC_DESCRIPTOR_EXTENT(b,0), (long int) count);
31cfd832
TK		 785 }
786
787 if (GFC_DESCRIPTOR_RANK (b) == 1)
788 {
789 /* Treat it as a column matrix B[count,1] */
790 bxstride = GFC_DESCRIPTOR_STRIDE(b,0);
791
792 /* bystride should never be used for 1-dimensional b.
6ce6a84a
TK		 793 The value is only used for calculation of the
794 memory by the buffer. */
795 bystride = 256;
31cfd832
TK		 796 ycount = 1;
797 }
798 else
799 {
800 bxstride = GFC_DESCRIPTOR_STRIDE(b,0);
801 bystride = GFC_DESCRIPTOR_STRIDE(b,1);
802 ycount = GFC_DESCRIPTOR_EXTENT(b,1);
803 }
804
805 abase = a->base_addr;
806 bbase = b->base_addr;
807 dest = retarray->base_addr;
808
809 /* Now that everything is set up, we perform the multiplication
810 itself. */
811
812#define POW3(x) (((float) (x)) * ((float) (x)) * ((float) (x)))
813#define min(a,b) ((a) <= (b) ? (a) : (b))
814#define max(a,b) ((a) >= (b) ? (a) : (b))
815
816 if (try_blas && rxstride == 1 && (axstride == 1 || aystride == 1)
817 && (bxstride == 1 || bystride == 1)
818 && (((float) xcount) * ((float) ycount) * ((float) count)
819 > POW3(blas_limit)))
820 {
821 const int m = xcount, n = ycount, k = count, ldc = rystride;
822 const GFC_REAL_16 one = 1, zero = 0;
823 const int lda = (axstride == 1) ? aystride : axstride,
824 ldb = (bxstride == 1) ? bystride : bxstride;
825
826 if (lda > 0 && ldb > 0 && ldc > 0 && m > 1 && n > 1 && k > 1)
827 {
828 assert (gemm != NULL);
ed33417a
TK		 829 const char *transa, *transb;
830 if (try_blas & 2)
831 transa = "C";
832 else
833 transa = axstride == 1 ? "N" : "T";
834
835 if (try_blas & 4)
836 transb = "C";
837 else
838 transb = bxstride == 1 ? "N" : "T";
839
840 gemm (transa, transb , &m,
31cfd832
TK		 841 &n, &k, &one, abase, &lda, bbase, &ldb, &zero, dest,
842 &ldc, 1, 1);
843 return;
844 }
845 }
846
847 if (rxstride == 1 && axstride == 1 && bxstride == 1)
848 {
849 /* This block of code implements a tuned matmul, derived from
850 Superscalar GEMM-based level 3 BLAS, Beta version 0.1
851
852 Bo Kagstrom and Per Ling
853 Department of Computing Science
854 Umea University
855 S-901 87 Umea, Sweden
856
857 from netlib.org, translated to C, and modified for matmul.m4. */
858
859 const GFC_REAL_16 *a, *b;
860 GFC_REAL_16 *c;
861 const index_type m = xcount, n = ycount, k = count;
862
863 /* System generated locals */
864 index_type a_dim1, a_offset, b_dim1, b_offset, c_dim1, c_offset,
865 i1, i2, i3, i4, i5, i6;
866
867 /* Local variables */
fd991039 868 GFC_REAL_16 f11, f12, f21, f22, f31, f32, f41, f42,
31cfd832
TK		 869 f13, f14, f23, f24, f33, f34, f43, f44;
870 index_type i, j, l, ii, jj, ll;
871 index_type isec, jsec, lsec, uisec, ujsec, ulsec;
8e5f30dc 872 GFC_REAL_16 *t1;
31cfd832
TK		 873
874 a = abase;
875 b = bbase;
876 c = retarray->base_addr;
877
878 /* Parameter adjustments */
879 c_dim1 = rystride;
880 c_offset = 1 + c_dim1;
881 c -= c_offset;
882 a_dim1 = aystride;
883 a_offset = 1 + a_dim1;
884 a -= a_offset;
885 b_dim1 = bystride;
886 b_offset = 1 + b_dim1;
887 b -= b_offset;
888
bbf97416
TK		 889 /* Empty c first. */
890 for (j=1; j<=n; j++)
891 for (i=1; i<=m; i++)
892 c[i + j * c_dim1] = (GFC_REAL_16)0;
893
31cfd832
TK		 894 /* Early exit if possible */
895 if (m == 0 || n == 0 || k == 0)
896 return;
897
fd991039 898 /* Adjust size of t1 to what is needed. */
4f4fabd7
TK		 899 index_type t1_dim, a_sz;
900 if (aystride == 1)
901 a_sz = rystride;
902 else
903 a_sz = a_dim1;
904
905 t1_dim = a_sz * 256 + b_dim1;
fd991039
TK		 906 if (t1_dim > 65536)
907 t1_dim = 65536;
908
8e5f30dc 909 t1 = malloc (t1_dim * sizeof(GFC_REAL_16));
fd991039 910
31cfd832
TK		 911 /* Start turning the crank. */
912 i1 = n;
913 for (jj = 1; jj <= i1; jj += 512)
914 {
915 /* Computing MIN */
916 i2 = 512;
917 i3 = n - jj + 1;
918 jsec = min(i2,i3);
919 ujsec = jsec - jsec % 4;
920 i2 = k;
921 for (ll = 1; ll <= i2; ll += 256)
922 {
923 /* Computing MIN */
924 i3 = 256;
925 i4 = k - ll + 1;
926 lsec = min(i3,i4);
927 ulsec = lsec - lsec % 2;
928
929 i3 = m;
930 for (ii = 1; ii <= i3; ii += 256)
931 {
932 /* Computing MIN */
933 i4 = 256;
934 i5 = m - ii + 1;
935 isec = min(i4,i5);
936 uisec = isec - isec % 2;
937 i4 = ll + ulsec - 1;
938 for (l = ll; l <= i4; l += 2)
939 {
940 i5 = ii + uisec - 1;
941 for (i = ii; i <= i5; i += 2)
942 {
943 t1[l - ll + 1 + ((i - ii + 1) << 8) - 257] =
944 a[i + l * a_dim1];
945 t1[l - ll + 2 + ((i - ii + 1) << 8) - 257] =
946 a[i + (l + 1) * a_dim1];
947 t1[l - ll + 1 + ((i - ii + 2) << 8) - 257] =
948 a[i + 1 + l * a_dim1];
949 t1[l - ll + 2 + ((i - ii + 2) << 8) - 257] =
950 a[i + 1 + (l + 1) * a_dim1];
951 }
952 if (uisec < isec)
953 {
954 t1[l - ll + 1 + (isec << 8) - 257] =
955 a[ii + isec - 1 + l * a_dim1];
956 t1[l - ll + 2 + (isec << 8) - 257] =
957 a[ii + isec - 1 + (l + 1) * a_dim1];
958 }
959 }
960 if (ulsec < lsec)
961 {
962 i4 = ii + isec - 1;
963 for (i = ii; i<= i4; ++i)
964 {
965 t1[lsec + ((i - ii + 1) << 8) - 257] =
966 a[i + (ll + lsec - 1) * a_dim1];
967 }
968 }
969
970 uisec = isec - isec % 4;
971 i4 = jj + ujsec - 1;
972 for (j = jj; j <= i4; j += 4)
973 {
974 i5 = ii + uisec - 1;
975 for (i = ii; i <= i5; i += 4)
976 {
977 f11 = c[i + j * c_dim1];
978 f21 = c[i + 1 + j * c_dim1];
979 f12 = c[i + (j + 1) * c_dim1];
980 f22 = c[i + 1 + (j + 1) * c_dim1];
981 f13 = c[i + (j + 2) * c_dim1];
982 f23 = c[i + 1 + (j + 2) * c_dim1];
983 f14 = c[i + (j + 3) * c_dim1];
984 f24 = c[i + 1 + (j + 3) * c_dim1];
985 f31 = c[i + 2 + j * c_dim1];
986 f41 = c[i + 3 + j * c_dim1];
987 f32 = c[i + 2 + (j + 1) * c_dim1];
988 f42 = c[i + 3 + (j + 1) * c_dim1];
989 f33 = c[i + 2 + (j + 2) * c_dim1];
990 f43 = c[i + 3 + (j + 2) * c_dim1];
991 f34 = c[i + 2 + (j + 3) * c_dim1];
992 f44 = c[i + 3 + (j + 3) * c_dim1];
993 i6 = ll + lsec - 1;
994 for (l = ll; l <= i6; ++l)
995 {
996 f11 += t1[l - ll + 1 + ((i - ii + 1) << 8) - 257]
997 * b[l + j * b_dim1];
998 f21 += t1[l - ll + 1 + ((i - ii + 2) << 8) - 257]
999 * b[l + j * b_dim1];
1000 f12 += t1[l - ll + 1 + ((i - ii + 1) << 8) - 257]
1001 * b[l + (j + 1) * b_dim1];
1002 f22 += t1[l - ll + 1 + ((i - ii + 2) << 8) - 257]
1003 * b[l + (j + 1) * b_dim1];
1004 f13 += t1[l - ll + 1 + ((i - ii + 1) << 8) - 257]
1005 * b[l + (j + 2) * b_dim1];
1006 f23 += t1[l - ll + 1 + ((i - ii + 2) << 8) - 257]
1007 * b[l + (j + 2) * b_dim1];
1008 f14 += t1[l - ll + 1 + ((i - ii + 1) << 8) - 257]
1009 * b[l + (j + 3) * b_dim1];
1010 f24 += t1[l - ll + 1 + ((i - ii + 2) << 8) - 257]
1011 * b[l + (j + 3) * b_dim1];
1012 f31 += t1[l - ll + 1 + ((i - ii + 3) << 8) - 257]
1013 * b[l + j * b_dim1];
1014 f41 += t1[l - ll + 1 + ((i - ii + 4) << 8) - 257]
1015 * b[l + j * b_dim1];
1016 f32 += t1[l - ll + 1 + ((i - ii + 3) << 8) - 257]
1017 * b[l + (j + 1) * b_dim1];
1018 f42 += t1[l - ll + 1 + ((i - ii + 4) << 8) - 257]
1019 * b[l + (j + 1) * b_dim1];
1020 f33 += t1[l - ll + 1 + ((i - ii + 3) << 8) - 257]
1021 * b[l + (j + 2) * b_dim1];
1022 f43 += t1[l - ll + 1 + ((i - ii + 4) << 8) - 257]
1023 * b[l + (j + 2) * b_dim1];
1024 f34 += t1[l - ll + 1 + ((i - ii + 3) << 8) - 257]
1025 * b[l + (j + 3) * b_dim1];
1026 f44 += t1[l - ll + 1 + ((i - ii + 4) << 8) - 257]
1027 * b[l + (j + 3) * b_dim1];
1028 }
1029 c[i + j * c_dim1] = f11;
1030 c[i + 1 + j * c_dim1] = f21;
1031 c[i + (j + 1) * c_dim1] = f12;
1032 c[i + 1 + (j + 1) * c_dim1] = f22;
1033 c[i + (j + 2) * c_dim1] = f13;
1034 c[i + 1 + (j + 2) * c_dim1] = f23;
1035 c[i + (j + 3) * c_dim1] = f14;
1036 c[i + 1 + (j + 3) * c_dim1] = f24;
1037 c[i + 2 + j * c_dim1] = f31;
1038 c[i + 3 + j * c_dim1] = f41;
1039 c[i + 2 + (j + 1) * c_dim1] = f32;
1040 c[i + 3 + (j + 1) * c_dim1] = f42;
1041 c[i + 2 + (j + 2) * c_dim1] = f33;
1042 c[i + 3 + (j + 2) * c_dim1] = f43;
1043 c[i + 2 + (j + 3) * c_dim1] = f34;
1044 c[i + 3 + (j + 3) * c_dim1] = f44;
1045 }
1046 if (uisec < isec)
1047 {
1048 i5 = ii + isec - 1;
1049 for (i = ii + uisec; i <= i5; ++i)
1050 {
1051 f11 = c[i + j * c_dim1];
1052 f12 = c[i + (j + 1) * c_dim1];
1053 f13 = c[i + (j + 2) * c_dim1];
1054 f14 = c[i + (j + 3) * c_dim1];
1055 i6 = ll + lsec - 1;
1056 for (l = ll; l <= i6; ++l)
1057 {
1058 f11 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
1059 257] * b[l + j * b_dim1];
1060 f12 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
1061 257] * b[l + (j + 1) * b_dim1];
1062 f13 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
1063 257] * b[l + (j + 2) * b_dim1];
1064 f14 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
1065 257] * b[l + (j + 3) * b_dim1];
1066 }
1067 c[i + j * c_dim1] = f11;
1068 c[i + (j + 1) * c_dim1] = f12;
1069 c[i + (j + 2) * c_dim1] = f13;
1070 c[i + (j + 3) * c_dim1] = f14;
1071 }
1072 }
1073 }
1074 if (ujsec < jsec)
1075 {
1076 i4 = jj + jsec - 1;
1077 for (j = jj + ujsec; j <= i4; ++j)
1078 {
1079 i5 = ii + uisec - 1;
1080 for (i = ii; i <= i5; i += 4)
1081 {
1082 f11 = c[i + j * c_dim1];
1083 f21 = c[i + 1 + j * c_dim1];
1084 f31 = c[i + 2 + j * c_dim1];
1085 f41 = c[i + 3 + j * c_dim1];
1086 i6 = ll + lsec - 1;
1087 for (l = ll; l <= i6; ++l)
1088 {
1089 f11 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
1090 257] * b[l + j * b_dim1];
1091 f21 += t1[l - ll + 1 + ((i - ii + 2) << 8) -
1092 257] * b[l + j * b_dim1];
1093 f31 += t1[l - ll + 1 + ((i - ii + 3) << 8) -
1094 257] * b[l + j * b_dim1];
1095 f41 += t1[l - ll + 1 + ((i - ii + 4) << 8) -
1096 257] * b[l + j * b_dim1];
1097 }
1098 c[i + j * c_dim1] = f11;
1099 c[i + 1 + j * c_dim1] = f21;
1100 c[i + 2 + j * c_dim1] = f31;
1101 c[i + 3 + j * c_dim1] = f41;
1102 }
1103 i5 = ii + isec - 1;
1104 for (i = ii + uisec; i <= i5; ++i)
1105 {
1106 f11 = c[i + j * c_dim1];
1107 i6 = ll + lsec - 1;
1108 for (l = ll; l <= i6; ++l)
1109 {
1110 f11 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
1111 257] * b[l + j * b_dim1];
1112 }
1113 c[i + j * c_dim1] = f11;
1114 }
1115 }
1116 }
1117 }
1118 }
1119 }
8e5f30dc 1120 free(t1);
31cfd832
TK		 1121 return;
1122 }
1123 else if (rxstride == 1 && aystride == 1 && bxstride == 1)
1124 {
1125 if (GFC_DESCRIPTOR_RANK (a) != 1)
1126 {
1127 const GFC_REAL_16 *restrict abase_x;
1128 const GFC_REAL_16 *restrict bbase_y;
1129 GFC_REAL_16 *restrict dest_y;
1130 GFC_REAL_16 s;
1131
1132 for (y = 0; y < ycount; y++)
1133 {
1134 bbase_y = &bbase[y*bystride];
1135 dest_y = &dest[y*rystride];
1136 for (x = 0; x < xcount; x++)
1137 {
1138 abase_x = &abase[x*axstride];
1139 s = (GFC_REAL_16) 0;
1140 for (n = 0; n < count; n++)
1141 s += abase_x[n] * bbase_y[n];
1142 dest_y[x] = s;
1143 }
1144 }
1145 }
1146 else
1147 {
1148 const GFC_REAL_16 *restrict bbase_y;
1149 GFC_REAL_16 s;
1150
1151 for (y = 0; y < ycount; y++)
1152 {
1153 bbase_y = &bbase[y*bystride];
1154 s = (GFC_REAL_16) 0;
1155 for (n = 0; n < count; n++)
1156 s += abase[n*axstride] * bbase_y[n];
1157 dest[y*rystride] = s;
1158 }
1159 }
1160 }
31cfd832
TK		 1161 else if (GFC_DESCRIPTOR_RANK (a) == 1)
1162 {
1163 const GFC_REAL_16 *restrict bbase_y;
1164 GFC_REAL_16 s;
1165
1166 for (y = 0; y < ycount; y++)
1167 {
1168 bbase_y = &bbase[y*bystride];
1169 s = (GFC_REAL_16) 0;
1170 for (n = 0; n < count; n++)
1171 s += abase[n*axstride] * bbase_y[n*bxstride];
1172 dest[y*rxstride] = s;
1173 }
1174 }
cd6cd6ae
HA		 1175 else if (axstride < aystride)
1176 {
1177 for (y = 0; y < ycount; y++)
1178 for (x = 0; x < xcount; x++)
1179 dest[x*rxstride + y*rystride] = (GFC_REAL_16)0;
1180
1181 for (y = 0; y < ycount; y++)
1182 for (n = 0; n < count; n++)
1183 for (x = 0; x < xcount; x++)
1184 /* dest[x,y] += a[x,n] * b[n,y] */
1185 dest[x*rxstride + y*rystride] +=
1186 abase[x*axstride + n*aystride] *
1187 bbase[n*bxstride + y*bystride];
1188 }
31cfd832
TK		 1189 else
1190 {
1191 const GFC_REAL_16 *restrict abase_x;
1192 const GFC_REAL_16 *restrict bbase_y;
1193 GFC_REAL_16 *restrict dest_y;
1194 GFC_REAL_16 s;
1195
1196 for (y = 0; y < ycount; y++)
1197 {
1198 bbase_y = &bbase[y*bystride];
1199 dest_y = &dest[y*rystride];
1200 for (x = 0; x < xcount; x++)
1201 {
1202 abase_x = &abase[x*axstride];
1203 s = (GFC_REAL_16) 0;
1204 for (n = 0; n < count; n++)
1205 s += abase_x[n*aystride] * bbase_y[n*bxstride];
1206 dest_y[x*rxstride] = s;
1207 }
1208 }
1209 }
1210}
1211#undef POW3
1212#undef min
1213#undef max
1214
1215#endif /* HAVE_AVX2 */
1216
1217#ifdef HAVE_AVX512F
1218static void
1219matmul_r16_avx512f (gfc_array_r16 * const restrict retarray,
1220 gfc_array_r16 * const restrict a, gfc_array_r16 * const restrict b, int try_blas,
1221 int blas_limit, blas_call gemm) __attribute__((__target__("avx512f")));
1222static void
1223matmul_r16_avx512f (gfc_array_r16 * const restrict retarray,
1224 gfc_array_r16 * const restrict a, gfc_array_r16 * const restrict b, int try_blas,
1225 int blas_limit, blas_call gemm)
1226{
1227 const GFC_REAL_16 * restrict abase;
1228 const GFC_REAL_16 * restrict bbase;
1229 GFC_REAL_16 * restrict dest;
1230
1231 index_type rxstride, rystride, axstride, aystride, bxstride, bystride;
1232 index_type x, y, n, count, xcount, ycount;
1233
1234 assert (GFC_DESCRIPTOR_RANK (a) == 2
1235 || GFC_DESCRIPTOR_RANK (b) == 2);
1236
1237/* C[xcount,ycount] = A[xcount, count] * B[count,ycount]
1238
1239 Either A or B (but not both) can be rank 1:
1240
1241 o One-dimensional argument A is implicitly treated as a row matrix
1242 dimensioned [1,count], so xcount=1.
1243
1244 o One-dimensional argument B is implicitly treated as a column matrix
1245 dimensioned [count, 1], so ycount=1.
1246*/
1247
1248 if (retarray->base_addr == NULL)
1249 {
1250 if (GFC_DESCRIPTOR_RANK (a) == 1)
1251 {
1252 GFC_DIMENSION_SET(retarray->dim[0], 0,
1253 GFC_DESCRIPTOR_EXTENT(b,1) - 1, 1);
1254 }
1255 else if (GFC_DESCRIPTOR_RANK (b) == 1)
1256 {
1257 GFC_DIMENSION_SET(retarray->dim[0], 0,
1258 GFC_DESCRIPTOR_EXTENT(a,0) - 1, 1);
1259 }
1260 else
1261 {
1262 GFC_DIMENSION_SET(retarray->dim[0], 0,
1263 GFC_DESCRIPTOR_EXTENT(a,0) - 1, 1);
1264
1265 GFC_DIMENSION_SET(retarray->dim[1], 0,
1266 GFC_DESCRIPTOR_EXTENT(b,1) - 1,
1267 GFC_DESCRIPTOR_EXTENT(retarray,0));
1268 }
1269
1270 retarray->base_addr
1271 = xmallocarray (size0 ((array_t *) retarray), sizeof (GFC_REAL_16));
1272 retarray->offset = 0;
1273 }
1274 else if (unlikely (compile_options.bounds_check))
1275 {
1276 index_type ret_extent, arg_extent;
1277
1278 if (GFC_DESCRIPTOR_RANK (a) == 1)
1279 {
1280 arg_extent = GFC_DESCRIPTOR_EXTENT(b,1);
1281 ret_extent = GFC_DESCRIPTOR_EXTENT(retarray,0);
1282 if (arg_extent != ret_extent)
ed33417a
TK		 1283 runtime_error ("Array bound mismatch for dimension 1 of "
1284 "array (%ld/%ld) ",
31cfd832
TK		 1285 (long int) ret_extent, (long int) arg_extent);
1286 }
1287 else if (GFC_DESCRIPTOR_RANK (b) == 1)
1288 {
1289 arg_extent = GFC_DESCRIPTOR_EXTENT(a,0);
1290 ret_extent = GFC_DESCRIPTOR_EXTENT(retarray,0);
1291 if (arg_extent != ret_extent)
ed33417a
TK		 1292 runtime_error ("Array bound mismatch for dimension 1 of "
1293 "array (%ld/%ld) ",
31cfd832
TK		 1294 (long int) ret_extent, (long int) arg_extent);
1295 }
1296 else
1297 {
1298 arg_extent = GFC_DESCRIPTOR_EXTENT(a,0);
1299 ret_extent = GFC_DESCRIPTOR_EXTENT(retarray,0);
1300 if (arg_extent != ret_extent)
ed33417a
TK		 1301 runtime_error ("Array bound mismatch for dimension 1 of "
1302 "array (%ld/%ld) ",
31cfd832
TK		 1303 (long int) ret_extent, (long int) arg_extent);
1304
1305 arg_extent = GFC_DESCRIPTOR_EXTENT(b,1);
1306 ret_extent = GFC_DESCRIPTOR_EXTENT(retarray,1);
1307 if (arg_extent != ret_extent)
ed33417a
TK		 1308 runtime_error ("Array bound mismatch for dimension 2 of "
1309 "array (%ld/%ld) ",
31cfd832
TK		 1310 (long int) ret_extent, (long int) arg_extent);
1311 }
1312 }
1313
1314
1315 if (GFC_DESCRIPTOR_RANK (retarray) == 1)
1316 {
1317 /* One-dimensional result may be addressed in the code below
1318 either as a row or a column matrix. We want both cases to
1319 work. */
1320 rxstride = rystride = GFC_DESCRIPTOR_STRIDE(retarray,0);
1321 }
1322 else
1323 {
1324 rxstride = GFC_DESCRIPTOR_STRIDE(retarray,0);
1325 rystride = GFC_DESCRIPTOR_STRIDE(retarray,1);
1326 }
1327
1328
1329 if (GFC_DESCRIPTOR_RANK (a) == 1)
1330 {
1331 /* Treat it as a a row matrix A[1,count]. */
1332 axstride = GFC_DESCRIPTOR_STRIDE(a,0);
1333 aystride = 1;
1334
1335 xcount = 1;
1336 count = GFC_DESCRIPTOR_EXTENT(a,0);
1337 }
1338 else
1339 {
1340 axstride = GFC_DESCRIPTOR_STRIDE(a,0);
1341 aystride = GFC_DESCRIPTOR_STRIDE(a,1);
1342
1343 count = GFC_DESCRIPTOR_EXTENT(a,1);
1344 xcount = GFC_DESCRIPTOR_EXTENT(a,0);
1345 }
1346
1347 if (count != GFC_DESCRIPTOR_EXTENT(b,0))
1348 {
1349 if (count > 0 || GFC_DESCRIPTOR_EXTENT(b,0) > 0)
ed33417a
TK		 1350 runtime_error ("Incorrect extent in argument B in MATMUL intrinsic "
1351 "in dimension 1: is %ld, should be %ld",
1352 (long int) GFC_DESCRIPTOR_EXTENT(b,0), (long int) count);
31cfd832
TK		 1353 }
1354
1355 if (GFC_DESCRIPTOR_RANK (b) == 1)
1356 {
1357 /* Treat it as a column matrix B[count,1] */
1358 bxstride = GFC_DESCRIPTOR_STRIDE(b,0);
1359
1360 /* bystride should never be used for 1-dimensional b.
6ce6a84a
TK		 1361 The value is only used for calculation of the
1362 memory by the buffer. */
1363 bystride = 256;
31cfd832
TK		 1364 ycount = 1;
1365 }
1366 else
1367 {
1368 bxstride = GFC_DESCRIPTOR_STRIDE(b,0);
1369 bystride = GFC_DESCRIPTOR_STRIDE(b,1);
1370 ycount = GFC_DESCRIPTOR_EXTENT(b,1);
1371 }
1372
1373 abase = a->base_addr;
1374 bbase = b->base_addr;
1375 dest = retarray->base_addr;
1376
1377 /* Now that everything is set up, we perform the multiplication
1378 itself. */
1379
1380#define POW3(x) (((float) (x)) * ((float) (x)) * ((float) (x)))
1381#define min(a,b) ((a) <= (b) ? (a) : (b))
1382#define max(a,b) ((a) >= (b) ? (a) : (b))
1383
1384 if (try_blas && rxstride == 1 && (axstride == 1 || aystride == 1)
1385 && (bxstride == 1 || bystride == 1)
1386 && (((float) xcount) * ((float) ycount) * ((float) count)
1387 > POW3(blas_limit)))
1388 {
1389 const int m = xcount, n = ycount, k = count, ldc = rystride;
1390 const GFC_REAL_16 one = 1, zero = 0;
1391 const int lda = (axstride == 1) ? aystride : axstride,
1392 ldb = (bxstride == 1) ? bystride : bxstride;
1393
1394 if (lda > 0 && ldb > 0 && ldc > 0 && m > 1 && n > 1 && k > 1)
1395 {
1396 assert (gemm != NULL);
ed33417a
TK		 1397 const char *transa, *transb;
1398 if (try_blas & 2)
1399 transa = "C";
1400 else
1401 transa = axstride == 1 ? "N" : "T";
1402
1403 if (try_blas & 4)
1404 transb = "C";
1405 else
1406 transb = bxstride == 1 ? "N" : "T";
1407
1408 gemm (transa, transb , &m,
31cfd832
TK		 1409 &n, &k, &one, abase, &lda, bbase, &ldb, &zero, dest,
1410 &ldc, 1, 1);
1411 return;
1412 }
1413 }
1414
1415 if (rxstride == 1 && axstride == 1 && bxstride == 1)
1416 {
1417 /* This block of code implements a tuned matmul, derived from
1418 Superscalar GEMM-based level 3 BLAS, Beta version 0.1
1419
1420 Bo Kagstrom and Per Ling
1421 Department of Computing Science
1422 Umea University
1423 S-901 87 Umea, Sweden
1424
1425 from netlib.org, translated to C, and modified for matmul.m4. */
1426
1427 const GFC_REAL_16 *a, *b;
1428 GFC_REAL_16 *c;
1429 const index_type m = xcount, n = ycount, k = count;
1430
1431 /* System generated locals */
1432 index_type a_dim1, a_offset, b_dim1, b_offset, c_dim1, c_offset,
1433 i1, i2, i3, i4, i5, i6;
1434
1435 /* Local variables */
fd991039 1436 GFC_REAL_16 f11, f12, f21, f22, f31, f32, f41, f42,
31cfd832
TK		 1437 f13, f14, f23, f24, f33, f34, f43, f44;
1438 index_type i, j, l, ii, jj, ll;
1439 index_type isec, jsec, lsec, uisec, ujsec, ulsec;
8e5f30dc 1440 GFC_REAL_16 *t1;
31cfd832
TK		 1441
1442 a = abase;
1443 b = bbase;
1444 c = retarray->base_addr;
1445
1446 /* Parameter adjustments */
1447 c_dim1 = rystride;
1448 c_offset = 1 + c_dim1;
1449 c -= c_offset;
1450 a_dim1 = aystride;
1451 a_offset = 1 + a_dim1;
1452 a -= a_offset;
1453 b_dim1 = bystride;
1454 b_offset = 1 + b_dim1;
1455 b -= b_offset;
1456
bbf97416
TK		 1457 /* Empty c first. */
1458 for (j=1; j<=n; j++)
1459 for (i=1; i<=m; i++)
1460 c[i + j * c_dim1] = (GFC_REAL_16)0;
1461
31cfd832
TK		 1462 /* Early exit if possible */
1463 if (m == 0 || n == 0 || k == 0)
1464 return;
1465
fd991039 1466 /* Adjust size of t1 to what is needed. */
4f4fabd7
TK		 1467 index_type t1_dim, a_sz;
1468 if (aystride == 1)
1469 a_sz = rystride;
1470 else
1471 a_sz = a_dim1;
1472
1473 t1_dim = a_sz * 256 + b_dim1;
fd991039
TK		 1474 if (t1_dim > 65536)
1475 t1_dim = 65536;
1476
8e5f30dc 1477 t1 = malloc (t1_dim * sizeof(GFC_REAL_16));
fd991039 1478
31cfd832
TK		 1479 /* Start turning the crank. */
1480 i1 = n;
1481 for (jj = 1; jj <= i1; jj += 512)
1482 {
1483 /* Computing MIN */
1484 i2 = 512;
1485 i3 = n - jj + 1;
1486 jsec = min(i2,i3);
1487 ujsec = jsec - jsec % 4;
1488 i2 = k;
1489 for (ll = 1; ll <= i2; ll += 256)
1490 {
1491 /* Computing MIN */
1492 i3 = 256;
1493 i4 = k - ll + 1;
1494 lsec = min(i3,i4);
1495 ulsec = lsec - lsec % 2;
1496
1497 i3 = m;
1498 for (ii = 1; ii <= i3; ii += 256)
1499 {
1500 /* Computing MIN */
1501 i4 = 256;
1502 i5 = m - ii + 1;
1503 isec = min(i4,i5);
1504 uisec = isec - isec % 2;
1505 i4 = ll + ulsec - 1;
1506 for (l = ll; l <= i4; l += 2)
1507 {
1508 i5 = ii + uisec - 1;
1509 for (i = ii; i <= i5; i += 2)
1510 {
1511 t1[l - ll + 1 + ((i - ii + 1) << 8) - 257] =
1512 a[i + l * a_dim1];
1513 t1[l - ll + 2 + ((i - ii + 1) << 8) - 257] =
1514 a[i + (l + 1) * a_dim1];
1515 t1[l - ll + 1 + ((i - ii + 2) << 8) - 257] =
1516 a[i + 1 + l * a_dim1];
1517 t1[l - ll + 2 + ((i - ii + 2) << 8) - 257] =
1518 a[i + 1 + (l + 1) * a_dim1];
1519 }
1520 if (uisec < isec)
1521 {
1522 t1[l - ll + 1 + (isec << 8) - 257] =
1523 a[ii + isec - 1 + l * a_dim1];
1524 t1[l - ll + 2 + (isec << 8) - 257] =
1525 a[ii + isec - 1 + (l + 1) * a_dim1];
1526 }
1527 }
1528 if (ulsec < lsec)
1529 {
1530 i4 = ii + isec - 1;
1531 for (i = ii; i<= i4; ++i)
1532 {
1533 t1[lsec + ((i - ii + 1) << 8) - 257] =
1534 a[i + (ll + lsec - 1) * a_dim1];
1535 }
1536 }
1537
1538 uisec = isec - isec % 4;
1539 i4 = jj + ujsec - 1;
1540 for (j = jj; j <= i4; j += 4)
1541 {
1542 i5 = ii + uisec - 1;
1543 for (i = ii; i <= i5; i += 4)
1544 {
1545 f11 = c[i + j * c_dim1];
1546 f21 = c[i + 1 + j * c_dim1];
1547 f12 = c[i + (j + 1) * c_dim1];
1548 f22 = c[i + 1 + (j + 1) * c_dim1];
1549 f13 = c[i + (j + 2) * c_dim1];
1550 f23 = c[i + 1 + (j + 2) * c_dim1];
1551 f14 = c[i + (j + 3) * c_dim1];
1552 f24 = c[i + 1 + (j + 3) * c_dim1];
1553 f31 = c[i + 2 + j * c_dim1];
1554 f41 = c[i + 3 + j * c_dim1];
1555 f32 = c[i + 2 + (j + 1) * c_dim1];
1556 f42 = c[i + 3 + (j + 1) * c_dim1];
1557 f33 = c[i + 2 + (j + 2) * c_dim1];
1558 f43 = c[i + 3 + (j + 2) * c_dim1];
1559 f34 = c[i + 2 + (j + 3) * c_dim1];
1560 f44 = c[i + 3 + (j + 3) * c_dim1];
1561 i6 = ll + lsec - 1;
1562 for (l = ll; l <= i6; ++l)
1563 {
1564 f11 += t1[l - ll + 1 + ((i - ii + 1) << 8) - 257]
1565 * b[l + j * b_dim1];
1566 f21 += t1[l - ll + 1 + ((i - ii + 2) << 8) - 257]
1567 * b[l + j * b_dim1];
1568 f12 += t1[l - ll + 1 + ((i - ii + 1) << 8) - 257]
1569 * b[l + (j + 1) * b_dim1];
1570 f22 += t1[l - ll + 1 + ((i - ii + 2) << 8) - 257]
1571 * b[l + (j + 1) * b_dim1];
1572 f13 += t1[l - ll + 1 + ((i - ii + 1) << 8) - 257]
1573 * b[l + (j + 2) * b_dim1];
1574 f23 += t1[l - ll + 1 + ((i - ii + 2) << 8) - 257]
1575 * b[l + (j + 2) * b_dim1];
1576 f14 += t1[l - ll + 1 + ((i - ii + 1) << 8) - 257]
1577 * b[l + (j + 3) * b_dim1];
1578 f24 += t1[l - ll + 1 + ((i - ii + 2) << 8) - 257]
1579 * b[l + (j + 3) * b_dim1];
1580 f31 += t1[l - ll + 1 + ((i - ii + 3) << 8) - 257]
1581 * b[l + j * b_dim1];
1582 f41 += t1[l - ll + 1 + ((i - ii + 4) << 8) - 257]
1583 * b[l + j * b_dim1];
1584 f32 += t1[l - ll + 1 + ((i - ii + 3) << 8) - 257]
1585 * b[l + (j + 1) * b_dim1];
1586 f42 += t1[l - ll + 1 + ((i - ii + 4) << 8) - 257]
1587 * b[l + (j + 1) * b_dim1];
1588 f33 += t1[l - ll + 1 + ((i - ii + 3) << 8) - 257]
1589 * b[l + (j + 2) * b_dim1];
1590 f43 += t1[l - ll + 1 + ((i - ii + 4) << 8) - 257]
1591 * b[l + (j + 2) * b_dim1];
1592 f34 += t1[l - ll + 1 + ((i - ii + 3) << 8) - 257]
1593 * b[l + (j + 3) * b_dim1];
1594 f44 += t1[l - ll + 1 + ((i - ii + 4) << 8) - 257]
1595 * b[l + (j + 3) * b_dim1];
1596 }
1597 c[i + j * c_dim1] = f11;
1598 c[i + 1 + j * c_dim1] = f21;
1599 c[i + (j + 1) * c_dim1] = f12;
1600 c[i + 1 + (j + 1) * c_dim1] = f22;
1601 c[i + (j + 2) * c_dim1] = f13;
1602 c[i + 1 + (j + 2) * c_dim1] = f23;
1603 c[i + (j + 3) * c_dim1] = f14;
1604 c[i + 1 + (j + 3) * c_dim1] = f24;
1605 c[i + 2 + j * c_dim1] = f31;
1606 c[i + 3 + j * c_dim1] = f41;
1607 c[i + 2 + (j + 1) * c_dim1] = f32;
1608 c[i + 3 + (j + 1) * c_dim1] = f42;
1609 c[i + 2 + (j + 2) * c_dim1] = f33;
1610 c[i + 3 + (j + 2) * c_dim1] = f43;
1611 c[i + 2 + (j + 3) * c_dim1] = f34;
1612 c[i + 3 + (j + 3) * c_dim1] = f44;
1613 }
1614 if (uisec < isec)
1615 {
1616 i5 = ii + isec - 1;
1617 for (i = ii + uisec; i <= i5; ++i)
1618 {
1619 f11 = c[i + j * c_dim1];
1620 f12 = c[i + (j + 1) * c_dim1];
1621 f13 = c[i + (j + 2) * c_dim1];
1622 f14 = c[i + (j + 3) * c_dim1];
1623 i6 = ll + lsec - 1;
1624 for (l = ll; l <= i6; ++l)
1625 {
1626 f11 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
1627 257] * b[l + j * b_dim1];
1628 f12 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
1629 257] * b[l + (j + 1) * b_dim1];
1630 f13 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
1631 257] * b[l + (j + 2) * b_dim1];
1632 f14 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
1633 257] * b[l + (j + 3) * b_dim1];
1634 }
1635 c[i + j * c_dim1] = f11;
1636 c[i + (j + 1) * c_dim1] = f12;
1637 c[i + (j + 2) * c_dim1] = f13;
1638 c[i + (j + 3) * c_dim1] = f14;
1639 }
1640 }
1641 }
1642 if (ujsec < jsec)
1643 {
1644 i4 = jj + jsec - 1;
1645 for (j = jj + ujsec; j <= i4; ++j)
1646 {
1647 i5 = ii + uisec - 1;
1648 for (i = ii; i <= i5; i += 4)
1649 {
1650 f11 = c[i + j * c_dim1];
1651 f21 = c[i + 1 + j * c_dim1];
1652 f31 = c[i + 2 + j * c_dim1];
1653 f41 = c[i + 3 + j * c_dim1];
1654 i6 = ll + lsec - 1;
1655 for (l = ll; l <= i6; ++l)
1656 {
1657 f11 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
1658 257] * b[l + j * b_dim1];
1659 f21 += t1[l - ll + 1 + ((i - ii + 2) << 8) -
1660 257] * b[l + j * b_dim1];
1661 f31 += t1[l - ll + 1 + ((i - ii + 3) << 8) -
1662 257] * b[l + j * b_dim1];
1663 f41 += t1[l - ll + 1 + ((i - ii + 4) << 8) -
1664 257] * b[l + j * b_dim1];
1665 }
1666 c[i + j * c_dim1] = f11;
1667 c[i + 1 + j * c_dim1] = f21;
1668 c[i + 2 + j * c_dim1] = f31;
1669 c[i + 3 + j * c_dim1] = f41;
1670 }
1671 i5 = ii + isec - 1;
1672 for (i = ii + uisec; i <= i5; ++i)
1673 {
1674 f11 = c[i + j * c_dim1];
1675 i6 = ll + lsec - 1;
1676 for (l = ll; l <= i6; ++l)
1677 {
1678 f11 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
1679 257] * b[l + j * b_dim1];
1680 }
1681 c[i + j * c_dim1] = f11;
1682 }
1683 }
1684 }
1685 }
1686 }
1687 }
8e5f30dc 1688 free(t1);
31cfd832
TK		 1689 return;
1690 }
1691 else if (rxstride == 1 && aystride == 1 && bxstride == 1)
1692 {
1693 if (GFC_DESCRIPTOR_RANK (a) != 1)
1694 {
1695 const GFC_REAL_16 *restrict abase_x;
1696 const GFC_REAL_16 *restrict bbase_y;
1697 GFC_REAL_16 *restrict dest_y;
1698 GFC_REAL_16 s;
1699
1700 for (y = 0; y < ycount; y++)
1701 {
1702 bbase_y = &bbase[y*bystride];
1703 dest_y = &dest[y*rystride];
1704 for (x = 0; x < xcount; x++)
1705 {
1706 abase_x = &abase[x*axstride];
1707 s = (GFC_REAL_16) 0;
1708 for (n = 0; n < count; n++)
1709 s += abase_x[n] * bbase_y[n];
1710 dest_y[x] = s;
1711 }
1712 }
1713 }
1714 else
1715 {
1716 const GFC_REAL_16 *restrict bbase_y;
1717 GFC_REAL_16 s;
1718
1719 for (y = 0; y < ycount; y++)
1720 {
1721 bbase_y = &bbase[y*bystride];
1722 s = (GFC_REAL_16) 0;
1723 for (n = 0; n < count; n++)
1724 s += abase[n*axstride] * bbase_y[n];
1725 dest[y*rystride] = s;
1726 }
1727 }
1728 }
31cfd832
TK		 1729 else if (GFC_DESCRIPTOR_RANK (a) == 1)
1730 {
1731 const GFC_REAL_16 *restrict bbase_y;
1732 GFC_REAL_16 s;
1733
1734 for (y = 0; y < ycount; y++)
1735 {
1736 bbase_y = &bbase[y*bystride];
1737 s = (GFC_REAL_16) 0;
1738 for (n = 0; n < count; n++)
1739 s += abase[n*axstride] * bbase_y[n*bxstride];
1740 dest[y*rxstride] = s;
1741 }
1742 }
cd6cd6ae
HA		 1743 else if (axstride < aystride)
1744 {
1745 for (y = 0; y < ycount; y++)
1746 for (x = 0; x < xcount; x++)
1747 dest[x*rxstride + y*rystride] = (GFC_REAL_16)0;
1748
1749 for (y = 0; y < ycount; y++)
1750 for (n = 0; n < count; n++)
1751 for (x = 0; x < xcount; x++)
1752 /* dest[x,y] += a[x,n] * b[n,y] */
1753 dest[x*rxstride + y*rystride] +=
1754 abase[x*axstride + n*aystride] *
1755 bbase[n*bxstride + y*bystride];
1756 }
31cfd832
TK		 1757 else
1758 {
1759 const GFC_REAL_16 *restrict abase_x;
1760 const GFC_REAL_16 *restrict bbase_y;
1761 GFC_REAL_16 *restrict dest_y;
1762 GFC_REAL_16 s;
1763
1764 for (y = 0; y < ycount; y++)
1765 {
1766 bbase_y = &bbase[y*bystride];
1767 dest_y = &dest[y*rystride];
1768 for (x = 0; x < xcount; x++)
1769 {
1770 abase_x = &abase[x*axstride];
1771 s = (GFC_REAL_16) 0;
1772 for (n = 0; n < count; n++)
1773 s += abase_x[n*aystride] * bbase_y[n*bxstride];
1774 dest_y[x*rxstride] = s;
1775 }
1776 }
1777 }
1778}
1779#undef POW3
1780#undef min
1781#undef max
1782
1783#endif /* HAVE_AVX512F */
1784
1d5cf7fc
TK		 1785/* AMD-specifix funtions with AVX128 and FMA3/FMA4. */
1786
1787#if defined(HAVE_AVX) && defined(HAVE_FMA3) && defined(HAVE_AVX128)
1788void
1789matmul_r16_avx128_fma3 (gfc_array_r16 * const restrict retarray,
1790 gfc_array_r16 * const restrict a, gfc_array_r16 * const restrict b, int try_blas,
1791 int blas_limit, blas_call gemm) __attribute__((__target__("avx,fma")));
1792internal_proto(matmul_r16_avx128_fma3);
1793#endif
1794
1795#if defined(HAVE_AVX) && defined(HAVE_FMA4) && defined(HAVE_AVX128)
1796void
1797matmul_r16_avx128_fma4 (gfc_array_r16 * const restrict retarray,
1798 gfc_array_r16 * const restrict a, gfc_array_r16 * const restrict b, int try_blas,
1799 int blas_limit, blas_call gemm) __attribute__((__target__("avx,fma4")));
1800internal_proto(matmul_r16_avx128_fma4);
1801#endif
1802
31cfd832
TK		 1803/* Function to fall back to if there is no special processor-specific version. */
1804static void
1805matmul_r16_vanilla (gfc_array_r16 * const restrict retarray,
1806 gfc_array_r16 * const restrict a, gfc_array_r16 * const restrict b, int try_blas,
1807 int blas_limit, blas_call gemm)
1808{
1809 const GFC_REAL_16 * restrict abase;
1810 const GFC_REAL_16 * restrict bbase;
1811 GFC_REAL_16 * restrict dest;
1812
1813 index_type rxstride, rystride, axstride, aystride, bxstride, bystride;
1814 index_type x, y, n, count, xcount, ycount;
1815
1816 assert (GFC_DESCRIPTOR_RANK (a) == 2
1817 || GFC_DESCRIPTOR_RANK (b) == 2);
1818
1819/* C[xcount,ycount] = A[xcount, count] * B[count,ycount]
1820
1821 Either A or B (but not both) can be rank 1:
1822
1823 o One-dimensional argument A is implicitly treated as a row matrix
1824 dimensioned [1,count], so xcount=1.
1825
1826 o One-dimensional argument B is implicitly treated as a column matrix
1827 dimensioned [count, 1], so ycount=1.
1828*/
1829
1830 if (retarray->base_addr == NULL)
1831 {
1832 if (GFC_DESCRIPTOR_RANK (a) == 1)
1833 {
1834 GFC_DIMENSION_SET(retarray->dim[0], 0,
1835 GFC_DESCRIPTOR_EXTENT(b,1) - 1, 1);
1836 }
1837 else if (GFC_DESCRIPTOR_RANK (b) == 1)
1838 {
1839 GFC_DIMENSION_SET(retarray->dim[0], 0,
1840 GFC_DESCRIPTOR_EXTENT(a,0) - 1, 1);
1841 }
1842 else
1843 {
1844 GFC_DIMENSION_SET(retarray->dim[0], 0,
1845 GFC_DESCRIPTOR_EXTENT(a,0) - 1, 1);
1846
1847 GFC_DIMENSION_SET(retarray->dim[1], 0,
1848 GFC_DESCRIPTOR_EXTENT(b,1) - 1,
1849 GFC_DESCRIPTOR_EXTENT(retarray,0));
1850 }
1851
1852 retarray->base_addr
1853 = xmallocarray (size0 ((array_t *) retarray), sizeof (GFC_REAL_16));
1854 retarray->offset = 0;
1855 }
1856 else if (unlikely (compile_options.bounds_check))
1857 {
1858 index_type ret_extent, arg_extent;
1859
1860 if (GFC_DESCRIPTOR_RANK (a) == 1)
1861 {
1862 arg_extent = GFC_DESCRIPTOR_EXTENT(b,1);
1863 ret_extent = GFC_DESCRIPTOR_EXTENT(retarray,0);
1864 if (arg_extent != ret_extent)
ed33417a
TK		 1865 runtime_error ("Array bound mismatch for dimension 1 of "
1866 "array (%ld/%ld) ",
31cfd832
TK		 1867 (long int) ret_extent, (long int) arg_extent);
1868 }
1869 else if (GFC_DESCRIPTOR_RANK (b) == 1)
1870 {
1871 arg_extent = GFC_DESCRIPTOR_EXTENT(a,0);
1872 ret_extent = GFC_DESCRIPTOR_EXTENT(retarray,0);
1873 if (arg_extent != ret_extent)
ed33417a
TK		 1874 runtime_error ("Array bound mismatch for dimension 1 of "
1875 "array (%ld/%ld) ",
31cfd832
TK		 1876 (long int) ret_extent, (long int) arg_extent);
1877 }
1878 else
1879 {
1880 arg_extent = GFC_DESCRIPTOR_EXTENT(a,0);
1881 ret_extent = GFC_DESCRIPTOR_EXTENT(retarray,0);
1882 if (arg_extent != ret_extent)
ed33417a
TK		 1883 runtime_error ("Array bound mismatch for dimension 1 of "
1884 "array (%ld/%ld) ",
31cfd832
TK		 1885 (long int) ret_extent, (long int) arg_extent);
1886
1887 arg_extent = GFC_DESCRIPTOR_EXTENT(b,1);
1888 ret_extent = GFC_DESCRIPTOR_EXTENT(retarray,1);
1889 if (arg_extent != ret_extent)
ed33417a
TK		 1890 runtime_error ("Array bound mismatch for dimension 2 of "
1891 "array (%ld/%ld) ",
31cfd832
TK		 1892 (long int) ret_extent, (long int) arg_extent);
1893 }
1894 }
1895
1896
1897 if (GFC_DESCRIPTOR_RANK (retarray) == 1)
1898 {
1899 /* One-dimensional result may be addressed in the code below
1900 either as a row or a column matrix. We want both cases to
1901 work. */
1902 rxstride = rystride = GFC_DESCRIPTOR_STRIDE(retarray,0);
1903 }
1904 else
1905 {
1906 rxstride = GFC_DESCRIPTOR_STRIDE(retarray,0);
1907 rystride = GFC_DESCRIPTOR_STRIDE(retarray,1);
1908 }
1909
1910
1911 if (GFC_DESCRIPTOR_RANK (a) == 1)
1912 {
1913 /* Treat it as a a row matrix A[1,count]. */
1914 axstride = GFC_DESCRIPTOR_STRIDE(a,0);
1915 aystride = 1;
1916
1917 xcount = 1;
1918 count = GFC_DESCRIPTOR_EXTENT(a,0);
1919 }
1920 else
1921 {
1922 axstride = GFC_DESCRIPTOR_STRIDE(a,0);
1923 aystride = GFC_DESCRIPTOR_STRIDE(a,1);
1924
1925 count = GFC_DESCRIPTOR_EXTENT(a,1);
1926 xcount = GFC_DESCRIPTOR_EXTENT(a,0);
1927 }
1928
1929 if (count != GFC_DESCRIPTOR_EXTENT(b,0))
1930 {
1931 if (count > 0 || GFC_DESCRIPTOR_EXTENT(b,0) > 0)
ed33417a
TK		 1932 runtime_error ("Incorrect extent in argument B in MATMUL intrinsic "
1933 "in dimension 1: is %ld, should be %ld",
1934 (long int) GFC_DESCRIPTOR_EXTENT(b,0), (long int) count);
31cfd832
TK		 1935 }
1936
1937 if (GFC_DESCRIPTOR_RANK (b) == 1)
1938 {
1939 /* Treat it as a column matrix B[count,1] */
1940 bxstride = GFC_DESCRIPTOR_STRIDE(b,0);
1941
1942 /* bystride should never be used for 1-dimensional b.
6ce6a84a
TK		 1943 The value is only used for calculation of the
1944 memory by the buffer. */
1945 bystride = 256;
31cfd832
TK		 1946 ycount = 1;
1947 }
1948 else
1949 {
1950 bxstride = GFC_DESCRIPTOR_STRIDE(b,0);
1951 bystride = GFC_DESCRIPTOR_STRIDE(b,1);
1952 ycount = GFC_DESCRIPTOR_EXTENT(b,1);
1953 }
1954
1955 abase = a->base_addr;
1956 bbase = b->base_addr;
1957 dest = retarray->base_addr;
1958
1959 /* Now that everything is set up, we perform the multiplication
1960 itself. */
1961
1962#define POW3(x) (((float) (x)) * ((float) (x)) * ((float) (x)))
1963#define min(a,b) ((a) <= (b) ? (a) : (b))
1964#define max(a,b) ((a) >= (b) ? (a) : (b))
1965
1966 if (try_blas && rxstride == 1 && (axstride == 1 || aystride == 1)
1967 && (bxstride == 1 || bystride == 1)
1968 && (((float) xcount) * ((float) ycount) * ((float) count)
1969 > POW3(blas_limit)))
1970 {
1971 const int m = xcount, n = ycount, k = count, ldc = rystride;
1972 const GFC_REAL_16 one = 1, zero = 0;
1973 const int lda = (axstride == 1) ? aystride : axstride,
1974 ldb = (bxstride == 1) ? bystride : bxstride;
1975
1976 if (lda > 0 && ldb > 0 && ldc > 0 && m > 1 && n > 1 && k > 1)
1977 {
1978 assert (gemm != NULL);
ed33417a
TK		 1979 const char *transa, *transb;
1980 if (try_blas & 2)
1981 transa = "C";
1982 else
1983 transa = axstride == 1 ? "N" : "T";
1984
1985 if (try_blas & 4)
1986 transb = "C";
1987 else
1988 transb = bxstride == 1 ? "N" : "T";
1989
1990 gemm (transa, transb , &m,
31cfd832
TK		 1991 &n, &k, &one, abase, &lda, bbase, &ldb, &zero, dest,
1992 &ldc, 1, 1);
1993 return;
1994 }
1995 }
1996
1997 if (rxstride == 1 && axstride == 1 && bxstride == 1)
1998 {
1999 /* This block of code implements a tuned matmul, derived from
2000 Superscalar GEMM-based level 3 BLAS, Beta version 0.1
2001
2002 Bo Kagstrom and Per Ling
2003 Department of Computing Science
2004 Umea University
2005 S-901 87 Umea, Sweden
2006
2007 from netlib.org, translated to C, and modified for matmul.m4. */
2008
2009 const GFC_REAL_16 *a, *b;
2010 GFC_REAL_16 *c;
2011 const index_type m = xcount, n = ycount, k = count;
2012
2013 /* System generated locals */
2014 index_type a_dim1, a_offset, b_dim1, b_offset, c_dim1, c_offset,
2015 i1, i2, i3, i4, i5, i6;
2016
2017 /* Local variables */
fd991039 2018 GFC_REAL_16 f11, f12, f21, f22, f31, f32, f41, f42,
31cfd832
TK		 2019 f13, f14, f23, f24, f33, f34, f43, f44;
2020 index_type i, j, l, ii, jj, ll;
2021 index_type isec, jsec, lsec, uisec, ujsec, ulsec;
8e5f30dc 2022 GFC_REAL_16 *t1;
31cfd832
TK		 2023
2024 a = abase;
2025 b = bbase;
2026 c = retarray->base_addr;
2027
2028 /* Parameter adjustments */
2029 c_dim1 = rystride;
2030 c_offset = 1 + c_dim1;
2031 c -= c_offset;
2032 a_dim1 = aystride;
2033 a_offset = 1 + a_dim1;
2034 a -= a_offset;
2035 b_dim1 = bystride;
2036 b_offset = 1 + b_dim1;
2037 b -= b_offset;
2038
bbf97416
TK		 2039 /* Empty c first. */
2040 for (j=1; j<=n; j++)
2041 for (i=1; i<=m; i++)
2042 c[i + j * c_dim1] = (GFC_REAL_16)0;
2043
31cfd832
TK		 2044 /* Early exit if possible */
2045 if (m == 0 || n == 0 || k == 0)
2046 return;
2047
fd991039 2048 /* Adjust size of t1 to what is needed. */
4f4fabd7
TK		 2049 index_type t1_dim, a_sz;
2050 if (aystride == 1)
2051 a_sz = rystride;
2052 else
2053 a_sz = a_dim1;
2054
2055 t1_dim = a_sz * 256 + b_dim1;
fd991039
TK		 2056 if (t1_dim > 65536)
2057 t1_dim = 65536;
2058
8e5f30dc 2059 t1 = malloc (t1_dim * sizeof(GFC_REAL_16));
fd991039 2060
31cfd832
TK		 2061 /* Start turning the crank. */
2062 i1 = n;
2063 for (jj = 1; jj <= i1; jj += 512)
2064 {
2065 /* Computing MIN */
2066 i2 = 512;
2067 i3 = n - jj + 1;
2068 jsec = min(i2,i3);
2069 ujsec = jsec - jsec % 4;
2070 i2 = k;
2071 for (ll = 1; ll <= i2; ll += 256)
2072 {
2073 /* Computing MIN */
2074 i3 = 256;
2075 i4 = k - ll + 1;
2076 lsec = min(i3,i4);
2077 ulsec = lsec - lsec % 2;
2078
2079 i3 = m;
2080 for (ii = 1; ii <= i3; ii += 256)
2081 {
2082 /* Computing MIN */
2083 i4 = 256;
2084 i5 = m - ii + 1;
2085 isec = min(i4,i5);
2086 uisec = isec - isec % 2;
2087 i4 = ll + ulsec - 1;
2088 for (l = ll; l <= i4; l += 2)
2089 {
2090 i5 = ii + uisec - 1;
2091 for (i = ii; i <= i5; i += 2)
2092 {
2093 t1[l - ll + 1 + ((i - ii + 1) << 8) - 257] =
2094 a[i + l * a_dim1];
2095 t1[l - ll + 2 + ((i - ii + 1) << 8) - 257] =
2096 a[i + (l + 1) * a_dim1];
2097 t1[l - ll + 1 + ((i - ii + 2) << 8) - 257] =
2098 a[i + 1 + l * a_dim1];
2099 t1[l - ll + 2 + ((i - ii + 2) << 8) - 257] =
2100 a[i + 1 + (l + 1) * a_dim1];
2101 }
2102 if (uisec < isec)
2103 {
2104 t1[l - ll + 1 + (isec << 8) - 257] =
2105 a[ii + isec - 1 + l * a_dim1];
2106 t1[l - ll + 2 + (isec << 8) - 257] =
2107 a[ii + isec - 1 + (l + 1) * a_dim1];
2108 }
2109 }
2110 if (ulsec < lsec)
2111 {
2112 i4 = ii + isec - 1;
2113 for (i = ii; i<= i4; ++i)
2114 {
2115 t1[lsec + ((i - ii + 1) << 8) - 257] =
2116 a[i + (ll + lsec - 1) * a_dim1];
2117 }
2118 }
2119
2120 uisec = isec - isec % 4;
2121 i4 = jj + ujsec - 1;
2122 for (j = jj; j <= i4; j += 4)
2123 {
2124 i5 = ii + uisec - 1;
2125 for (i = ii; i <= i5; i += 4)
2126 {
2127 f11 = c[i + j * c_dim1];
2128 f21 = c[i + 1 + j * c_dim1];
2129 f12 = c[i + (j + 1) * c_dim1];
2130 f22 = c[i + 1 + (j + 1) * c_dim1];
2131 f13 = c[i + (j + 2) * c_dim1];
2132 f23 = c[i + 1 + (j + 2) * c_dim1];
2133 f14 = c[i + (j + 3) * c_dim1];
2134 f24 = c[i + 1 + (j + 3) * c_dim1];
2135 f31 = c[i + 2 + j * c_dim1];
2136 f41 = c[i + 3 + j * c_dim1];
2137 f32 = c[i + 2 + (j + 1) * c_dim1];
2138 f42 = c[i + 3 + (j + 1) * c_dim1];
2139 f33 = c[i + 2 + (j + 2) * c_dim1];
2140 f43 = c[i + 3 + (j + 2) * c_dim1];
2141 f34 = c[i + 2 + (j + 3) * c_dim1];
2142 f44 = c[i + 3 + (j + 3) * c_dim1];
2143 i6 = ll + lsec - 1;
2144 for (l = ll; l <= i6; ++l)
2145 {
2146 f11 += t1[l - ll + 1 + ((i - ii + 1) << 8) - 257]
2147 * b[l + j * b_dim1];
2148 f21 += t1[l - ll + 1 + ((i - ii + 2) << 8) - 257]
2149 * b[l + j * b_dim1];
2150 f12 += t1[l - ll + 1 + ((i - ii + 1) << 8) - 257]
2151 * b[l + (j + 1) * b_dim1];
2152 f22 += t1[l - ll + 1 + ((i - ii + 2) << 8) - 257]
2153 * b[l + (j + 1) * b_dim1];
2154 f13 += t1[l - ll + 1 + ((i - ii + 1) << 8) - 257]
2155 * b[l + (j + 2) * b_dim1];
2156 f23 += t1[l - ll + 1 + ((i - ii + 2) << 8) - 257]
2157 * b[l + (j + 2) * b_dim1];
2158 f14 += t1[l - ll + 1 + ((i - ii + 1) << 8) - 257]
2159 * b[l + (j + 3) * b_dim1];
2160 f24 += t1[l - ll + 1 + ((i - ii + 2) << 8) - 257]
2161 * b[l + (j + 3) * b_dim1];
2162 f31 += t1[l - ll + 1 + ((i - ii + 3) << 8) - 257]
2163 * b[l + j * b_dim1];
2164 f41 += t1[l - ll + 1 + ((i - ii + 4) << 8) - 257]
2165 * b[l + j * b_dim1];
2166 f32 += t1[l - ll + 1 + ((i - ii + 3) << 8) - 257]
2167 * b[l + (j + 1) * b_dim1];
2168 f42 += t1[l - ll + 1 + ((i - ii + 4) << 8) - 257]
2169 * b[l + (j + 1) * b_dim1];
2170 f33 += t1[l - ll + 1 + ((i - ii + 3) << 8) - 257]
2171 * b[l + (j + 2) * b_dim1];
2172 f43 += t1[l - ll + 1 + ((i - ii + 4) << 8) - 257]
2173 * b[l + (j + 2) * b_dim1];
2174 f34 += t1[l - ll + 1 + ((i - ii + 3) << 8) - 257]
2175 * b[l + (j + 3) * b_dim1];
2176 f44 += t1[l - ll + 1 + ((i - ii + 4) << 8) - 257]
2177 * b[l + (j + 3) * b_dim1];
2178 }
2179 c[i + j * c_dim1] = f11;
2180 c[i + 1 + j * c_dim1] = f21;
2181 c[i + (j + 1) * c_dim1] = f12;
2182 c[i + 1 + (j + 1) * c_dim1] = f22;
2183 c[i + (j + 2) * c_dim1] = f13;
2184 c[i + 1 + (j + 2) * c_dim1] = f23;
2185 c[i + (j + 3) * c_dim1] = f14;
2186 c[i + 1 + (j + 3) * c_dim1] = f24;
2187 c[i + 2 + j * c_dim1] = f31;
2188 c[i + 3 + j * c_dim1] = f41;
2189 c[i + 2 + (j + 1) * c_dim1] = f32;
2190 c[i + 3 + (j + 1) * c_dim1] = f42;
2191 c[i + 2 + (j + 2) * c_dim1] = f33;
2192 c[i + 3 + (j + 2) * c_dim1] = f43;
2193 c[i + 2 + (j + 3) * c_dim1] = f34;
2194 c[i + 3 + (j + 3) * c_dim1] = f44;
2195 }
2196 if (uisec < isec)
2197 {
2198 i5 = ii + isec - 1;
2199 for (i = ii + uisec; i <= i5; ++i)
2200 {
2201 f11 = c[i + j * c_dim1];
2202 f12 = c[i + (j + 1) * c_dim1];
2203 f13 = c[i + (j + 2) * c_dim1];
2204 f14 = c[i + (j + 3) * c_dim1];
2205 i6 = ll + lsec - 1;
2206 for (l = ll; l <= i6; ++l)
2207 {
2208 f11 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
2209 257] * b[l + j * b_dim1];
2210 f12 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
2211 257] * b[l + (j + 1) * b_dim1];
2212 f13 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
2213 257] * b[l + (j + 2) * b_dim1];
2214 f14 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
2215 257] * b[l + (j + 3) * b_dim1];
2216 }
2217 c[i + j * c_dim1] = f11;
2218 c[i + (j + 1) * c_dim1] = f12;
2219 c[i + (j + 2) * c_dim1] = f13;
2220 c[i + (j + 3) * c_dim1] = f14;
2221 }
2222 }
2223 }
2224 if (ujsec < jsec)
2225 {
2226 i4 = jj + jsec - 1;
2227 for (j = jj + ujsec; j <= i4; ++j)
2228 {
2229 i5 = ii + uisec - 1;
2230 for (i = ii; i <= i5; i += 4)
2231 {
2232 f11 = c[i + j * c_dim1];
2233 f21 = c[i + 1 + j * c_dim1];
2234 f31 = c[i + 2 + j * c_dim1];
2235 f41 = c[i + 3 + j * c_dim1];
2236 i6 = ll + lsec - 1;
2237 for (l = ll; l <= i6; ++l)
2238 {
2239 f11 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
2240 257] * b[l + j * b_dim1];
2241 f21 += t1[l - ll + 1 + ((i - ii + 2) << 8) -
2242 257] * b[l + j * b_dim1];
2243 f31 += t1[l - ll + 1 + ((i - ii + 3) << 8) -
2244 257] * b[l + j * b_dim1];
2245 f41 += t1[l - ll + 1 + ((i - ii + 4) << 8) -
2246 257] * b[l + j * b_dim1];
2247 }
2248 c[i + j * c_dim1] = f11;
2249 c[i + 1 + j * c_dim1] = f21;
2250 c[i + 2 + j * c_dim1] = f31;
2251 c[i + 3 + j * c_dim1] = f41;
2252 }
2253 i5 = ii + isec - 1;
2254 for (i = ii + uisec; i <= i5; ++i)
2255 {
2256 f11 = c[i + j * c_dim1];
2257 i6 = ll + lsec - 1;
2258 for (l = ll; l <= i6; ++l)
2259 {
2260 f11 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
2261 257] * b[l + j * b_dim1];
2262 }
2263 c[i + j * c_dim1] = f11;
2264 }
2265 }
2266 }
2267 }
2268 }
2269 }
8e5f30dc 2270 free(t1);
31cfd832
TK		 2271 return;
2272 }
2273 else if (rxstride == 1 && aystride == 1 && bxstride == 1)
2274 {
2275 if (GFC_DESCRIPTOR_RANK (a) != 1)
2276 {
2277 const GFC_REAL_16 *restrict abase_x;
2278 const GFC_REAL_16 *restrict bbase_y;
2279 GFC_REAL_16 *restrict dest_y;
2280 GFC_REAL_16 s;
2281
2282 for (y = 0; y < ycount; y++)
2283 {
2284 bbase_y = &bbase[y*bystride];
2285 dest_y = &dest[y*rystride];
2286 for (x = 0; x < xcount; x++)
2287 {
2288 abase_x = &abase[x*axstride];
2289 s = (GFC_REAL_16) 0;
2290 for (n = 0; n < count; n++)
2291 s += abase_x[n] * bbase_y[n];
2292 dest_y[x] = s;
2293 }
2294 }
2295 }
2296 else
2297 {
2298 const GFC_REAL_16 *restrict bbase_y;
2299 GFC_REAL_16 s;
2300
2301 for (y = 0; y < ycount; y++)
2302 {
2303 bbase_y = &bbase[y*bystride];
2304 s = (GFC_REAL_16) 0;
2305 for (n = 0; n < count; n++)
2306 s += abase[n*axstride] * bbase_y[n];
2307 dest[y*rystride] = s;
2308 }
2309 }
2310 }
31cfd832
TK		 2311 else if (GFC_DESCRIPTOR_RANK (a) == 1)
2312 {
2313 const GFC_REAL_16 *restrict bbase_y;
2314 GFC_REAL_16 s;
2315
2316 for (y = 0; y < ycount; y++)
2317 {
2318 bbase_y = &bbase[y*bystride];
2319 s = (GFC_REAL_16) 0;
2320 for (n = 0; n < count; n++)
2321 s += abase[n*axstride] * bbase_y[n*bxstride];
2322 dest[y*rxstride] = s;
2323 }
2324 }
cd6cd6ae
HA		 2325 else if (axstride < aystride)
2326 {
2327 for (y = 0; y < ycount; y++)
2328 for (x = 0; x < xcount; x++)
2329 dest[x*rxstride + y*rystride] = (GFC_REAL_16)0;
2330
2331 for (y = 0; y < ycount; y++)
2332 for (n = 0; n < count; n++)
2333 for (x = 0; x < xcount; x++)
2334 /* dest[x,y] += a[x,n] * b[n,y] */
2335 dest[x*rxstride + y*rystride] +=
2336 abase[x*axstride + n*aystride] *
2337 bbase[n*bxstride + y*bystride];
2338 }
31cfd832
TK		 2339 else
2340 {
2341 const GFC_REAL_16 *restrict abase_x;
2342 const GFC_REAL_16 *restrict bbase_y;
2343 GFC_REAL_16 *restrict dest_y;
2344 GFC_REAL_16 s;
2345
2346 for (y = 0; y < ycount; y++)
2347 {
2348 bbase_y = &bbase[y*bystride];
2349 dest_y = &dest[y*rystride];
2350 for (x = 0; x < xcount; x++)
2351 {
2352 abase_x = &abase[x*axstride];
2353 s = (GFC_REAL_16) 0;
2354 for (n = 0; n < count; n++)
2355 s += abase_x[n*aystride] * bbase_y[n*bxstride];
2356 dest_y[x*rxstride] = s;
2357 }
2358 }
2359 }
2360}
2361#undef POW3
2362#undef min
2363#undef max
2364
2365
2366/* Compiling main function, with selection code for the processor. */
2367
2368/* Currently, this is i386 only. Adjust for other architectures. */
2369
31cfd832
TK		 2370void matmul_r16 (gfc_array_r16 * const restrict retarray,
2371 gfc_array_r16 * const restrict a, gfc_array_r16 * const restrict b, int try_blas,
2372 int blas_limit, blas_call gemm)
2373{
2374 static void (*matmul_p) (gfc_array_r16 * const restrict retarray,
2375 gfc_array_r16 * const restrict a, gfc_array_r16 * const restrict b, int try_blas,
f03e9217
TK		 2376 int blas_limit, blas_call gemm);
2377
2378 void (*matmul_fn) (gfc_array_r16 * const restrict retarray,
2379 gfc_array_r16 * const restrict a, gfc_array_r16 * const restrict b, int try_blas,
2380 int blas_limit, blas_call gemm);
31cfd832 2381
f03e9217
TK		 2382 matmul_fn = __atomic_load_n (&matmul_p, __ATOMIC_RELAXED);
2383 if (matmul_fn == NULL)
31cfd832 2384 {
f03e9217 2385 matmul_fn = matmul_r16_vanilla;
8ebc2f5e 2386 if (__builtin_cpu_is ("intel"))
31cfd832
TK		 2387 {
2388 /* Run down the available processors in order of preference. */
2389#ifdef HAVE_AVX512F
8ebc2f5e 2390 if (__builtin_cpu_supports ("avx512f"))
31cfd832 2391 {
f03e9217
TK		 2392 matmul_fn = matmul_r16_avx512f;
2393 goto store;
31cfd832
TK		 2394 }
2395
2396#endif /* HAVE_AVX512F */
2397
2398#ifdef HAVE_AVX2
8ebc2f5e
L		 2399 if (__builtin_cpu_supports ("avx2")
2400 && __builtin_cpu_supports ("fma"))
31cfd832 2401 {
f03e9217
TK		 2402 matmul_fn = matmul_r16_avx2;
2403 goto store;
31cfd832
TK		 2404 }
2405
2406#endif
2407
2408#ifdef HAVE_AVX
8ebc2f5e 2409 if (__builtin_cpu_supports ("avx"))
31cfd832 2410 {
f03e9217
TK		 2411 matmul_fn = matmul_r16_avx;
2412 goto store;
31cfd832
TK		 2413 }
2414#endif /* HAVE_AVX */
2415 }
8ebc2f5e 2416 else if (__builtin_cpu_is ("amd"))
1d5cf7fc
TK		 2417 {
2418#if defined(HAVE_AVX) && defined(HAVE_FMA3) && defined(HAVE_AVX128)
8ebc2f5e
L		 2419 if (__builtin_cpu_supports ("avx")
2420 && __builtin_cpu_supports ("fma"))
1d5cf7fc
TK		 2421 {
2422 matmul_fn = matmul_r16_avx128_fma3;
2423 goto store;
2424 }
2425#endif
2426#if defined(HAVE_AVX) && defined(HAVE_FMA4) && defined(HAVE_AVX128)
8ebc2f5e
L		 2427 if (__builtin_cpu_supports ("avx")
2428 && __builtin_cpu_supports ("fma4"))
1d5cf7fc
TK		 2429 {
2430 matmul_fn = matmul_r16_avx128_fma4;
2431 goto store;
2432 }
2433#endif
2434
2435 }
f03e9217
TK		 2436 store:
2437 __atomic_store_n (&matmul_p, matmul_fn, __ATOMIC_RELAXED);
31cfd832
TK		 2438 }
2439
f03e9217 2440 (*matmul_fn) (retarray, a, b, try_blas, blas_limit, gemm);
31cfd832
TK		 2441}
2442
2443#else /* Just the vanilla function. */
2444
644cb69f 2445void
85206901 2446matmul_r16 (gfc_array_r16 * const restrict retarray,
5a0aad31
FXC		 2447 gfc_array_r16 * const restrict a, gfc_array_r16 * const restrict b, int try_blas,
2448 int blas_limit, blas_call gemm)
644cb69f 2449{
85206901
JB		 2450 const GFC_REAL_16 * restrict abase;
2451 const GFC_REAL_16 * restrict bbase;
2452 GFC_REAL_16 * restrict dest;
644cb69f
FXC		 2453
2454 index_type rxstride, rystride, axstride, aystride, bxstride, bystride;
2455 index_type x, y, n, count, xcount, ycount;
2456
2457 assert (GFC_DESCRIPTOR_RANK (a) == 2
2458 || GFC_DESCRIPTOR_RANK (b) == 2);
2459
2460/* C[xcount,ycount] = A[xcount, count] * B[count,ycount]
2461
2462 Either A or B (but not both) can be rank 1:
2463
2464 o One-dimensional argument A is implicitly treated as a row matrix
2465 dimensioned [1,count], so xcount=1.
2466
2467 o One-dimensional argument B is implicitly treated as a column matrix
2468 dimensioned [count, 1], so ycount=1.
5d70ab07 2469*/
644cb69f 2470
21d1335b 2471 if (retarray->base_addr == NULL)
644cb69f
FXC		 2472 {
2473 if (GFC_DESCRIPTOR_RANK (a) == 1)
2474 {
dfb55fdc
TK		 2475 GFC_DIMENSION_SET(retarray->dim[0], 0,
2476 GFC_DESCRIPTOR_EXTENT(b,1) - 1, 1);
644cb69f
FXC		 2477 }
2478 else if (GFC_DESCRIPTOR_RANK (b) == 1)
2479 {
dfb55fdc
TK		 2480 GFC_DIMENSION_SET(retarray->dim[0], 0,
2481 GFC_DESCRIPTOR_EXTENT(a,0) - 1, 1);
644cb69f
FXC		 2482 }
2483 else
2484 {
dfb55fdc
TK		 2485 GFC_DIMENSION_SET(retarray->dim[0], 0,
2486 GFC_DESCRIPTOR_EXTENT(a,0) - 1, 1);
644cb69f 2487
dfb55fdc
TK		 2488 GFC_DIMENSION_SET(retarray->dim[1], 0,
2489 GFC_DESCRIPTOR_EXTENT(b,1) - 1,
2490 GFC_DESCRIPTOR_EXTENT(retarray,0));
644cb69f
FXC		 2491 }
2492
21d1335b 2493 retarray->base_addr
92e6f3a4 2494 = xmallocarray (size0 ((array_t *) retarray), sizeof (GFC_REAL_16));
644cb69f
FXC		 2495 retarray->offset = 0;
2496 }
5d70ab07
JD		 2497 else if (unlikely (compile_options.bounds_check))
2498 {
2499 index_type ret_extent, arg_extent;
2500
2501 if (GFC_DESCRIPTOR_RANK (a) == 1)
2502 {
2503 arg_extent = GFC_DESCRIPTOR_EXTENT(b,1);
2504 ret_extent = GFC_DESCRIPTOR_EXTENT(retarray,0);
2505 if (arg_extent != ret_extent)
ed33417a
TK		 2506 runtime_error ("Array bound mismatch for dimension 1 of "
2507 "array (%ld/%ld) ",
5d70ab07
JD		 2508 (long int) ret_extent, (long int) arg_extent);
2509 }
2510 else if (GFC_DESCRIPTOR_RANK (b) == 1)
2511 {
2512 arg_extent = GFC_DESCRIPTOR_EXTENT(a,0);
2513 ret_extent = GFC_DESCRIPTOR_EXTENT(retarray,0);
2514 if (arg_extent != ret_extent)
ed33417a
TK		 2515 runtime_error ("Array bound mismatch for dimension 1 of "
2516 "array (%ld/%ld) ",
5d70ab07
JD		 2517 (long int) ret_extent, (long int) arg_extent);
2518 }
2519 else
2520 {
2521 arg_extent = GFC_DESCRIPTOR_EXTENT(a,0);
2522 ret_extent = GFC_DESCRIPTOR_EXTENT(retarray,0);
2523 if (arg_extent != ret_extent)
ed33417a
TK		 2524 runtime_error ("Array bound mismatch for dimension 1 of "
2525 "array (%ld/%ld) ",
5d70ab07
JD		 2526 (long int) ret_extent, (long int) arg_extent);
2527
2528 arg_extent = GFC_DESCRIPTOR_EXTENT(b,1);
2529 ret_extent = GFC_DESCRIPTOR_EXTENT(retarray,1);
2530 if (arg_extent != ret_extent)
ed33417a
TK		 2531 runtime_error ("Array bound mismatch for dimension 2 of "
2532 "array (%ld/%ld) ",
5d70ab07
JD		 2533 (long int) ret_extent, (long int) arg_extent);
2534 }
2535 }
644cb69f 2536
644cb69f
FXC		 2537
2538 if (GFC_DESCRIPTOR_RANK (retarray) == 1)
2539 {
2540 /* One-dimensional result may be addressed in the code below
2541 either as a row or a column matrix. We want both cases to
2542 work. */
dfb55fdc 2543 rxstride = rystride = GFC_DESCRIPTOR_STRIDE(retarray,0);
644cb69f
FXC		 2544 }
2545 else
2546 {
dfb55fdc
TK		 2547 rxstride = GFC_DESCRIPTOR_STRIDE(retarray,0);
2548 rystride = GFC_DESCRIPTOR_STRIDE(retarray,1);
644cb69f
FXC		 2549 }
2550
2551
2552 if (GFC_DESCRIPTOR_RANK (a) == 1)
2553 {
2554 /* Treat it as a a row matrix A[1,count]. */
dfb55fdc 2555 axstride = GFC_DESCRIPTOR_STRIDE(a,0);
644cb69f
FXC		 2556 aystride = 1;
2557
2558 xcount = 1;
dfb55fdc 2559 count = GFC_DESCRIPTOR_EXTENT(a,0);
644cb69f
FXC		 2560 }
2561 else
2562 {
dfb55fdc
TK		 2563 axstride = GFC_DESCRIPTOR_STRIDE(a,0);
2564 aystride = GFC_DESCRIPTOR_STRIDE(a,1);
644cb69f 2565
dfb55fdc
TK		 2566 count = GFC_DESCRIPTOR_EXTENT(a,1);
2567 xcount = GFC_DESCRIPTOR_EXTENT(a,0);
644cb69f
FXC		 2568 }
2569
dfb55fdc 2570 if (count != GFC_DESCRIPTOR_EXTENT(b,0))
7edc89d4 2571 {
dfb55fdc 2572 if (count > 0 || GFC_DESCRIPTOR_EXTENT(b,0) > 0)
ed33417a
TK		 2573 runtime_error ("Incorrect extent in argument B in MATMUL intrinsic "
2574 "in dimension 1: is %ld, should be %ld",
2575 (long int) GFC_DESCRIPTOR_EXTENT(b,0), (long int) count);
7edc89d4 2576 }
644cb69f
FXC		 2577
2578 if (GFC_DESCRIPTOR_RANK (b) == 1)
2579 {
2580 /* Treat it as a column matrix B[count,1] */
dfb55fdc 2581 bxstride = GFC_DESCRIPTOR_STRIDE(b,0);
644cb69f
FXC		 2582
2583 /* bystride should never be used for 1-dimensional b.
6ce6a84a
TK		 2584 The value is only used for calculation of the
2585 memory by the buffer. */
2586 bystride = 256;
644cb69f
FXC		 2587 ycount = 1;
2588 }
2589 else
2590 {
dfb55fdc
TK		 2591 bxstride = GFC_DESCRIPTOR_STRIDE(b,0);
2592 bystride = GFC_DESCRIPTOR_STRIDE(b,1);
2593 ycount = GFC_DESCRIPTOR_EXTENT(b,1);
644cb69f
FXC		 2594 }
2595
21d1335b
TB		 2596 abase = a->base_addr;
2597 bbase = b->base_addr;
2598 dest = retarray->base_addr;
644cb69f 2599
5d70ab07 2600 /* Now that everything is set up, we perform the multiplication
5a0aad31
FXC		 2601 itself. */
2602
2603#define POW3(x) (((float) (x)) * ((float) (x)) * ((float) (x)))
5d70ab07
JD		 2604#define min(a,b) ((a) <= (b) ? (a) : (b))
2605#define max(a,b) ((a) >= (b) ? (a) : (b))
5a0aad31
FXC		 2606
2607 if (try_blas && rxstride == 1 && (axstride == 1 || aystride == 1)
2608 && (bxstride == 1 || bystride == 1)
2609 && (((float) xcount) * ((float) ycount) * ((float) count)
2610 > POW3(blas_limit)))
644cb69f 2611 {
5d70ab07
JD		 2612 const int m = xcount, n = ycount, k = count, ldc = rystride;
2613 const GFC_REAL_16 one = 1, zero = 0;
2614 const int lda = (axstride == 1) ? aystride : axstride,
2615 ldb = (bxstride == 1) ? bystride : bxstride;
644cb69f 2616
5d70ab07 2617 if (lda > 0 && ldb > 0 && ldc > 0 && m > 1 && n > 1 && k > 1)
644cb69f 2618 {
5d70ab07 2619 assert (gemm != NULL);
ed33417a
TK		 2620 const char *transa, *transb;
2621 if (try_blas & 2)
2622 transa = "C";
2623 else
2624 transa = axstride == 1 ? "N" : "T";
2625
2626 if (try_blas & 4)
2627 transb = "C";
2628 else
2629 transb = bxstride == 1 ? "N" : "T";
2630
2631 gemm (transa, transb , &m,
5d70ab07
JD		 2632 &n, &k, &one, abase, &lda, bbase, &ldb, &zero, dest,
2633 &ldc, 1, 1);
2634 return;
644cb69f 2635 }
5d70ab07 2636 }
644cb69f 2637
5d70ab07
JD		 2638 if (rxstride == 1 && axstride == 1 && bxstride == 1)
2639 {
2640 /* This block of code implements a tuned matmul, derived from
2641 Superscalar GEMM-based level 3 BLAS, Beta version 0.1
2642
2643 Bo Kagstrom and Per Ling
2644 Department of Computing Science
2645 Umea University
2646 S-901 87 Umea, Sweden
2647
2648 from netlib.org, translated to C, and modified for matmul.m4. */
2649
2650 const GFC_REAL_16 *a, *b;
2651 GFC_REAL_16 *c;
2652 const index_type m = xcount, n = ycount, k = count;
2653
2654 /* System generated locals */
2655 index_type a_dim1, a_offset, b_dim1, b_offset, c_dim1, c_offset,
2656 i1, i2, i3, i4, i5, i6;
2657
2658 /* Local variables */
fd991039 2659 GFC_REAL_16 f11, f12, f21, f22, f31, f32, f41, f42,
5d70ab07
JD		 2660 f13, f14, f23, f24, f33, f34, f43, f44;
2661 index_type i, j, l, ii, jj, ll;
2662 index_type isec, jsec, lsec, uisec, ujsec, ulsec;
8e5f30dc 2663 GFC_REAL_16 *t1;
5d70ab07
JD		 2664
2665 a = abase;
2666 b = bbase;
2667 c = retarray->base_addr;
2668
2669 /* Parameter adjustments */
2670 c_dim1 = rystride;
2671 c_offset = 1 + c_dim1;
2672 c -= c_offset;
2673 a_dim1 = aystride;
2674 a_offset = 1 + a_dim1;
2675 a -= a_offset;
2676 b_dim1 = bystride;
2677 b_offset = 1 + b_dim1;
2678 b -= b_offset;
2679
bbf97416
TK		 2680 /* Empty c first. */
2681 for (j=1; j<=n; j++)
2682 for (i=1; i<=m; i++)
2683 c[i + j * c_dim1] = (GFC_REAL_16)0;
2684
5d70ab07
JD		 2685 /* Early exit if possible */
2686 if (m == 0 || n == 0 || k == 0)
2687 return;
2688
fd991039 2689 /* Adjust size of t1 to what is needed. */
4f4fabd7
TK		 2690 index_type t1_dim, a_sz;
2691 if (aystride == 1)
2692 a_sz = rystride;
2693 else
2694 a_sz = a_dim1;
2695
2696 t1_dim = a_sz * 256 + b_dim1;
fd991039
TK		 2697 if (t1_dim > 65536)
2698 t1_dim = 65536;
2699
8e5f30dc 2700 t1 = malloc (t1_dim * sizeof(GFC_REAL_16));
fd991039 2701
5d70ab07
JD		 2702 /* Start turning the crank. */
2703 i1 = n;
2704 for (jj = 1; jj <= i1; jj += 512)
644cb69f 2705 {
5d70ab07
JD		 2706 /* Computing MIN */
2707 i2 = 512;
2708 i3 = n - jj + 1;
2709 jsec = min(i2,i3);
2710 ujsec = jsec - jsec % 4;
2711 i2 = k;
2712 for (ll = 1; ll <= i2; ll += 256)
644cb69f 2713 {
5d70ab07
JD		 2714 /* Computing MIN */
2715 i3 = 256;
2716 i4 = k - ll + 1;
2717 lsec = min(i3,i4);
2718 ulsec = lsec - lsec % 2;
2719
2720 i3 = m;
2721 for (ii = 1; ii <= i3; ii += 256)
644cb69f 2722 {
5d70ab07
JD		 2723 /* Computing MIN */
2724 i4 = 256;
2725 i5 = m - ii + 1;
2726 isec = min(i4,i5);
2727 uisec = isec - isec % 2;
2728 i4 = ll + ulsec - 1;
2729 for (l = ll; l <= i4; l += 2)
2730 {
2731 i5 = ii + uisec - 1;
2732 for (i = ii; i <= i5; i += 2)
2733 {
2734 t1[l - ll + 1 + ((i - ii + 1) << 8) - 257] =
2735 a[i + l * a_dim1];
2736 t1[l - ll + 2 + ((i - ii + 1) << 8) - 257] =
2737 a[i + (l + 1) * a_dim1];
2738 t1[l - ll + 1 + ((i - ii + 2) << 8) - 257] =
2739 a[i + 1 + l * a_dim1];
2740 t1[l - ll + 2 + ((i - ii + 2) << 8) - 257] =
2741 a[i + 1 + (l + 1) * a_dim1];
2742 }
2743 if (uisec < isec)
2744 {
2745 t1[l - ll + 1 + (isec << 8) - 257] =
2746 a[ii + isec - 1 + l * a_dim1];
2747 t1[l - ll + 2 + (isec << 8) - 257] =
2748 a[ii + isec - 1 + (l + 1) * a_dim1];
2749 }
2750 }
2751 if (ulsec < lsec)
2752 {
2753 i4 = ii + isec - 1;
2754 for (i = ii; i<= i4; ++i)
2755 {
2756 t1[lsec + ((i - ii + 1) << 8) - 257] =
2757 a[i + (ll + lsec - 1) * a_dim1];
2758 }
2759 }
2760
2761 uisec = isec - isec % 4;
2762 i4 = jj + ujsec - 1;
2763 for (j = jj; j <= i4; j += 4)
2764 {
2765 i5 = ii + uisec - 1;
2766 for (i = ii; i <= i5; i += 4)
2767 {
2768 f11 = c[i + j * c_dim1];
2769 f21 = c[i + 1 + j * c_dim1];
2770 f12 = c[i + (j + 1) * c_dim1];
2771 f22 = c[i + 1 + (j + 1) * c_dim1];
2772 f13 = c[i + (j + 2) * c_dim1];
2773 f23 = c[i + 1 + (j + 2) * c_dim1];
2774 f14 = c[i + (j + 3) * c_dim1];
2775 f24 = c[i + 1 + (j + 3) * c_dim1];
2776 f31 = c[i + 2 + j * c_dim1];
2777 f41 = c[i + 3 + j * c_dim1];
2778 f32 = c[i + 2 + (j + 1) * c_dim1];
2779 f42 = c[i + 3 + (j + 1) * c_dim1];
2780 f33 = c[i + 2 + (j + 2) * c_dim1];
2781 f43 = c[i + 3 + (j + 2) * c_dim1];
2782 f34 = c[i + 2 + (j + 3) * c_dim1];
2783 f44 = c[i + 3 + (j + 3) * c_dim1];
2784 i6 = ll + lsec - 1;
2785 for (l = ll; l <= i6; ++l)
2786 {
2787 f11 += t1[l - ll + 1 + ((i - ii + 1) << 8) - 257]
2788 * b[l + j * b_dim1];
2789 f21 += t1[l - ll + 1 + ((i - ii + 2) << 8) - 257]
2790 * b[l + j * b_dim1];
2791 f12 += t1[l - ll + 1 + ((i - ii + 1) << 8) - 257]
2792 * b[l + (j + 1) * b_dim1];
2793 f22 += t1[l - ll + 1 + ((i - ii + 2) << 8) - 257]
2794 * b[l + (j + 1) * b_dim1];
2795 f13 += t1[l - ll + 1 + ((i - ii + 1) << 8) - 257]
2796 * b[l + (j + 2) * b_dim1];
2797 f23 += t1[l - ll + 1 + ((i - ii + 2) << 8) - 257]
2798 * b[l + (j + 2) * b_dim1];
2799 f14 += t1[l - ll + 1 + ((i - ii + 1) << 8) - 257]
2800 * b[l + (j + 3) * b_dim1];
2801 f24 += t1[l - ll + 1 + ((i - ii + 2) << 8) - 257]
2802 * b[l + (j + 3) * b_dim1];
2803 f31 += t1[l - ll + 1 + ((i - ii + 3) << 8) - 257]
2804 * b[l + j * b_dim1];
2805 f41 += t1[l - ll + 1 + ((i - ii + 4) << 8) - 257]
2806 * b[l + j * b_dim1];
2807 f32 += t1[l - ll + 1 + ((i - ii + 3) << 8) - 257]
2808 * b[l + (j + 1) * b_dim1];
2809 f42 += t1[l - ll + 1 + ((i - ii + 4) << 8) - 257]
2810 * b[l + (j + 1) * b_dim1];
2811 f33 += t1[l - ll + 1 + ((i - ii + 3) << 8) - 257]
2812 * b[l + (j + 2) * b_dim1];
2813 f43 += t1[l - ll + 1 + ((i - ii + 4) << 8) - 257]
2814 * b[l + (j + 2) * b_dim1];
2815 f34 += t1[l - ll + 1 + ((i - ii + 3) << 8) - 257]
2816 * b[l + (j + 3) * b_dim1];
2817 f44 += t1[l - ll + 1 + ((i - ii + 4) << 8) - 257]
2818 * b[l + (j + 3) * b_dim1];
2819 }
2820 c[i + j * c_dim1] = f11;
2821 c[i + 1 + j * c_dim1] = f21;
2822 c[i + (j + 1) * c_dim1] = f12;
2823 c[i + 1 + (j + 1) * c_dim1] = f22;
2824 c[i + (j + 2) * c_dim1] = f13;
2825 c[i + 1 + (j + 2) * c_dim1] = f23;
2826 c[i + (j + 3) * c_dim1] = f14;
2827 c[i + 1 + (j + 3) * c_dim1] = f24;
2828 c[i + 2 + j * c_dim1] = f31;
2829 c[i + 3 + j * c_dim1] = f41;
2830 c[i + 2 + (j + 1) * c_dim1] = f32;
2831 c[i + 3 + (j + 1) * c_dim1] = f42;
2832 c[i + 2 + (j + 2) * c_dim1] = f33;
2833 c[i + 3 + (j + 2) * c_dim1] = f43;
2834 c[i + 2 + (j + 3) * c_dim1] = f34;
2835 c[i + 3 + (j + 3) * c_dim1] = f44;
2836 }
2837 if (uisec < isec)
2838 {
2839 i5 = ii + isec - 1;
2840 for (i = ii + uisec; i <= i5; ++i)
2841 {
2842 f11 = c[i + j * c_dim1];
2843 f12 = c[i + (j + 1) * c_dim1];
2844 f13 = c[i + (j + 2) * c_dim1];
2845 f14 = c[i + (j + 3) * c_dim1];
2846 i6 = ll + lsec - 1;
2847 for (l = ll; l <= i6; ++l)
2848 {
2849 f11 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
2850 257] * b[l + j * b_dim1];
2851 f12 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
2852 257] * b[l + (j + 1) * b_dim1];
2853 f13 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
2854 257] * b[l + (j + 2) * b_dim1];
2855 f14 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
2856 257] * b[l + (j + 3) * b_dim1];
2857 }
2858 c[i + j * c_dim1] = f11;
2859 c[i + (j + 1) * c_dim1] = f12;
2860 c[i + (j + 2) * c_dim1] = f13;
2861 c[i + (j + 3) * c_dim1] = f14;
2862 }
2863 }
2864 }
2865 if (ujsec < jsec)
2866 {
2867 i4 = jj + jsec - 1;
2868 for (j = jj + ujsec; j <= i4; ++j)
2869 {
2870 i5 = ii + uisec - 1;
2871 for (i = ii; i <= i5; i += 4)
2872 {
2873 f11 = c[i + j * c_dim1];
2874 f21 = c[i + 1 + j * c_dim1];
2875 f31 = c[i + 2 + j * c_dim1];
2876 f41 = c[i + 3 + j * c_dim1];
2877 i6 = ll + lsec - 1;
2878 for (l = ll; l <= i6; ++l)
2879 {
2880 f11 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
2881 257] * b[l + j * b_dim1];
2882 f21 += t1[l - ll + 1 + ((i - ii + 2) << 8) -
2883 257] * b[l + j * b_dim1];
2884 f31 += t1[l - ll + 1 + ((i - ii + 3) << 8) -
2885 257] * b[l + j * b_dim1];
2886 f41 += t1[l - ll + 1 + ((i - ii + 4) << 8) -
2887 257] * b[l + j * b_dim1];
2888 }
2889 c[i + j * c_dim1] = f11;
2890 c[i + 1 + j * c_dim1] = f21;
2891 c[i + 2 + j * c_dim1] = f31;
2892 c[i + 3 + j * c_dim1] = f41;
2893 }
2894 i5 = ii + isec - 1;
2895 for (i = ii + uisec; i <= i5; ++i)
2896 {
2897 f11 = c[i + j * c_dim1];
2898 i6 = ll + lsec - 1;
2899 for (l = ll; l <= i6; ++l)
2900 {
2901 f11 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
2902 257] * b[l + j * b_dim1];
2903 }
2904 c[i + j * c_dim1] = f11;
2905 }
2906 }
2907 }
644cb69f
FXC		 2908 }
2909 }
2910 }
8e5f30dc 2911 free(t1);
5d70ab07 2912 return;
644cb69f 2913 }
1524f80b
RS		 2914 else if (rxstride == 1 && aystride == 1 && bxstride == 1)
2915 {
a4a11197
PT		 2916 if (GFC_DESCRIPTOR_RANK (a) != 1)
2917 {
2918 const GFC_REAL_16 *restrict abase_x;
2919 const GFC_REAL_16 *restrict bbase_y;
2920 GFC_REAL_16 *restrict dest_y;
2921 GFC_REAL_16 s;
1524f80b 2922
a4a11197
PT		 2923 for (y = 0; y < ycount; y++)
2924 {
2925 bbase_y = &bbase[y*bystride];
2926 dest_y = &dest[y*rystride];
2927 for (x = 0; x < xcount; x++)
2928 {
2929 abase_x = &abase[x*axstride];
2930 s = (GFC_REAL_16) 0;
2931 for (n = 0; n < count; n++)
2932 s += abase_x[n] * bbase_y[n];
2933 dest_y[x] = s;
2934 }
2935 }
2936 }
2937 else
1524f80b 2938 {
a4a11197
PT		 2939 const GFC_REAL_16 *restrict bbase_y;
2940 GFC_REAL_16 s;
2941
2942 for (y = 0; y < ycount; y++)
1524f80b 2943 {
a4a11197 2944 bbase_y = &bbase[y*bystride];
1524f80b
RS		 2945 s = (GFC_REAL_16) 0;
2946 for (n = 0; n < count; n++)
a4a11197
PT		 2947 s += abase[n*axstride] * bbase_y[n];
2948 dest[y*rystride] = s;
1524f80b
RS		 2949 }
2950 }
2951 }
f0e871d6
PT		 2952 else if (GFC_DESCRIPTOR_RANK (a) == 1)
2953 {
2954 const GFC_REAL_16 *restrict bbase_y;
2955 GFC_REAL_16 s;
2956
2957 for (y = 0; y < ycount; y++)
2958 {
2959 bbase_y = &bbase[y*bystride];
2960 s = (GFC_REAL_16) 0;
2961 for (n = 0; n < count; n++)
2962 s += abase[n*axstride] * bbase_y[n*bxstride];
2963 dest[y*rxstride] = s;
2964 }
2965 }
cd6cd6ae
HA		 2966 else if (axstride < aystride)
2967 {
2968 for (y = 0; y < ycount; y++)
2969 for (x = 0; x < xcount; x++)
2970 dest[x*rxstride + y*rystride] = (GFC_REAL_16)0;
2971
2972 for (y = 0; y < ycount; y++)
2973 for (n = 0; n < count; n++)
2974 for (x = 0; x < xcount; x++)
2975 /* dest[x,y] += a[x,n] * b[n,y] */
2976 dest[x*rxstride + y*rystride] +=
2977 abase[x*axstride + n*aystride] *
2978 bbase[n*bxstride + y*bystride];
2979 }
1524f80b
RS		 2980 else
2981 {
2982 const GFC_REAL_16 *restrict abase_x;
2983 const GFC_REAL_16 *restrict bbase_y;
2984 GFC_REAL_16 *restrict dest_y;
2985 GFC_REAL_16 s;
2986
2987 for (y = 0; y < ycount; y++)
2988 {
2989 bbase_y = &bbase[y*bystride];
2990 dest_y = &dest[y*rystride];
2991 for (x = 0; x < xcount; x++)
2992 {
2993 abase_x = &abase[x*axstride];
2994 s = (GFC_REAL_16) 0;
2995 for (n = 0; n < count; n++)
2996 s += abase_x[n*aystride] * bbase_y[n*bxstride];
2997 dest_y[x*rxstride] = s;
2998 }
2999 }
3000 }
644cb69f 3001}
31cfd832
TK		 3002#undef POW3
3003#undef min
3004#undef max
3005
644cb69f 3006#endif
31cfd832
TK		 3007#endif
3008
Mirror of https://gcc.gnu.org/git/gcc.git