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1d5cf7fc 1/* Implementation of the MATMUL intrinsic
83ffe9cd 2 Copyright (C) 2002-2023 Free Software Foundation, Inc.
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3 Contributed by Thomas Koenig <tkoenig@gcc.gnu.org>.
4
5This file is part of the GNU Fortran runtime library (libgfortran).
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
10version 3 of the License, or (at your option) any later version.
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
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/>. */
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_INTEGER_2)
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
39typedef void (*blas_call)(const char *, const char *, const int *, const int *,
40 const int *, const GFC_INTEGER_2 *, const GFC_INTEGER_2 *,
41 const int *, const GFC_INTEGER_2 *, const int *,
42 const GFC_INTEGER_2 *, GFC_INTEGER_2 *, const int *,
43 int, int);
44
45#if defined(HAVE_AVX) && defined(HAVE_FMA3) && defined(HAVE_AVX128)
46void
47matmul_i2_avx128_fma3 (gfc_array_i2 * const restrict retarray,
48 gfc_array_i2 * const restrict a, gfc_array_i2 * const restrict b, int try_blas,
49 int blas_limit, blas_call gemm) __attribute__((__target__("avx,fma")));
50internal_proto(matmul_i2_avx128_fma3);
51void
52matmul_i2_avx128_fma3 (gfc_array_i2 * const restrict retarray,
53 gfc_array_i2 * const restrict a, gfc_array_i2 * const restrict b, int try_blas,
54 int blas_limit, blas_call gemm)
55{
56 const GFC_INTEGER_2 * restrict abase;
57 const GFC_INTEGER_2 * restrict bbase;
58 GFC_INTEGER_2 * 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_INTEGER_2));
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)
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112 runtime_error ("Array bound mismatch for dimension 1 of "
113 "array (%ld/%ld) ",
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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)
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121 runtime_error ("Array bound mismatch for dimension 1 of "
122 "array (%ld/%ld) ",
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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)
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130 runtime_error ("Array bound mismatch for dimension 1 of "
131 "array (%ld/%ld) ",
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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)
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137 runtime_error ("Array bound mismatch for dimension 2 of "
138 "array (%ld/%ld) ",
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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)
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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);
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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_INTEGER_2 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);
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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,
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238 &n, &k, &one, abase, &lda, bbase, &ldb, &zero, dest,
239 &ldc, 1, 1);
240 return;
241 }
242 }
243
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244 if (rxstride == 1 && axstride == 1 && bxstride == 1
245 && GFC_DESCRIPTOR_RANK (b) != 1)
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246 {
247 /* This block of code implements a tuned matmul, derived from
248 Superscalar GEMM-based level 3 BLAS, Beta version 0.1
249
250 Bo Kagstrom and Per Ling
251 Department of Computing Science
252 Umea University
253 S-901 87 Umea, Sweden
254
255 from netlib.org, translated to C, and modified for matmul.m4. */
256
257 const GFC_INTEGER_2 *a, *b;
258 GFC_INTEGER_2 *c;
259 const index_type m = xcount, n = ycount, k = count;
260
261 /* System generated locals */
262 index_type a_dim1, a_offset, b_dim1, b_offset, c_dim1, c_offset,
263 i1, i2, i3, i4, i5, i6;
264
265 /* Local variables */
266 GFC_INTEGER_2 f11, f12, f21, f22, f31, f32, f41, f42,
267 f13, f14, f23, f24, f33, f34, f43, f44;
268 index_type i, j, l, ii, jj, ll;
269 index_type isec, jsec, lsec, uisec, ujsec, ulsec;
270 GFC_INTEGER_2 *t1;
271
272 a = abase;
273 b = bbase;
274 c = retarray->base_addr;
275
276 /* Parameter adjustments */
277 c_dim1 = rystride;
278 c_offset = 1 + c_dim1;
279 c -= c_offset;
280 a_dim1 = aystride;
281 a_offset = 1 + a_dim1;
282 a -= a_offset;
283 b_dim1 = bystride;
284 b_offset = 1 + b_dim1;
285 b -= b_offset;
286
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287 /* Empty c first. */
288 for (j=1; j<=n; j++)
289 for (i=1; i<=m; i++)
290 c[i + j * c_dim1] = (GFC_INTEGER_2)0;
291
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292 /* Early exit if possible */
293 if (m == 0 || n == 0 || k == 0)
294 return;
295
296 /* Adjust size of t1 to what is needed. */
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297 index_type t1_dim, a_sz;
298 if (aystride == 1)
299 a_sz = rystride;
300 else
301 a_sz = a_dim1;
302
303 t1_dim = a_sz * 256 + b_dim1;
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304 if (t1_dim > 65536)
305 t1_dim = 65536;
306
307 t1 = malloc (t1_dim * sizeof(GFC_INTEGER_2));
308
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309 /* Start turning the crank. */
310 i1 = n;
311 for (jj = 1; jj <= i1; jj += 512)
312 {
313 /* Computing MIN */
314 i2 = 512;
315 i3 = n - jj + 1;
316 jsec = min(i2,i3);
317 ujsec = jsec - jsec % 4;
318 i2 = k;
319 for (ll = 1; ll <= i2; ll += 256)
320 {
321 /* Computing MIN */
322 i3 = 256;
323 i4 = k - ll + 1;
324 lsec = min(i3,i4);
325 ulsec = lsec - lsec % 2;
326
327 i3 = m;
328 for (ii = 1; ii <= i3; ii += 256)
329 {
330 /* Computing MIN */
331 i4 = 256;
332 i5 = m - ii + 1;
333 isec = min(i4,i5);
334 uisec = isec - isec % 2;
335 i4 = ll + ulsec - 1;
336 for (l = ll; l <= i4; l += 2)
337 {
338 i5 = ii + uisec - 1;
339 for (i = ii; i <= i5; i += 2)
340 {
341 t1[l - ll + 1 + ((i - ii + 1) << 8) - 257] =
342 a[i + l * a_dim1];
343 t1[l - ll + 2 + ((i - ii + 1) << 8) - 257] =
344 a[i + (l + 1) * a_dim1];
345 t1[l - ll + 1 + ((i - ii + 2) << 8) - 257] =
346 a[i + 1 + l * a_dim1];
347 t1[l - ll + 2 + ((i - ii + 2) << 8) - 257] =
348 a[i + 1 + (l + 1) * a_dim1];
349 }
350 if (uisec < isec)
351 {
352 t1[l - ll + 1 + (isec << 8) - 257] =
353 a[ii + isec - 1 + l * a_dim1];
354 t1[l - ll + 2 + (isec << 8) - 257] =
355 a[ii + isec - 1 + (l + 1) * a_dim1];
356 }
357 }
358 if (ulsec < lsec)
359 {
360 i4 = ii + isec - 1;
361 for (i = ii; i<= i4; ++i)
362 {
363 t1[lsec + ((i - ii + 1) << 8) - 257] =
364 a[i + (ll + lsec - 1) * a_dim1];
365 }
366 }
367
368 uisec = isec - isec % 4;
369 i4 = jj + ujsec - 1;
370 for (j = jj; j <= i4; j += 4)
371 {
372 i5 = ii + uisec - 1;
373 for (i = ii; i <= i5; i += 4)
374 {
375 f11 = c[i + j * c_dim1];
376 f21 = c[i + 1 + j * c_dim1];
377 f12 = c[i + (j + 1) * c_dim1];
378 f22 = c[i + 1 + (j + 1) * c_dim1];
379 f13 = c[i + (j + 2) * c_dim1];
380 f23 = c[i + 1 + (j + 2) * c_dim1];
381 f14 = c[i + (j + 3) * c_dim1];
382 f24 = c[i + 1 + (j + 3) * c_dim1];
383 f31 = c[i + 2 + j * c_dim1];
384 f41 = c[i + 3 + j * c_dim1];
385 f32 = c[i + 2 + (j + 1) * c_dim1];
386 f42 = c[i + 3 + (j + 1) * c_dim1];
387 f33 = c[i + 2 + (j + 2) * c_dim1];
388 f43 = c[i + 3 + (j + 2) * c_dim1];
389 f34 = c[i + 2 + (j + 3) * c_dim1];
390 f44 = c[i + 3 + (j + 3) * c_dim1];
391 i6 = ll + lsec - 1;
392 for (l = ll; l <= i6; ++l)
393 {
394 f11 += t1[l - ll + 1 + ((i - ii + 1) << 8) - 257]
395 * b[l + j * b_dim1];
396 f21 += t1[l - ll + 1 + ((i - ii + 2) << 8) - 257]
397 * b[l + j * b_dim1];
398 f12 += t1[l - ll + 1 + ((i - ii + 1) << 8) - 257]
399 * b[l + (j + 1) * b_dim1];
400 f22 += t1[l - ll + 1 + ((i - ii + 2) << 8) - 257]
401 * b[l + (j + 1) * b_dim1];
402 f13 += t1[l - ll + 1 + ((i - ii + 1) << 8) - 257]
403 * b[l + (j + 2) * b_dim1];
404 f23 += t1[l - ll + 1 + ((i - ii + 2) << 8) - 257]
405 * b[l + (j + 2) * b_dim1];
406 f14 += t1[l - ll + 1 + ((i - ii + 1) << 8) - 257]
407 * b[l + (j + 3) * b_dim1];
408 f24 += t1[l - ll + 1 + ((i - ii + 2) << 8) - 257]
409 * b[l + (j + 3) * b_dim1];
410 f31 += t1[l - ll + 1 + ((i - ii + 3) << 8) - 257]
411 * b[l + j * b_dim1];
412 f41 += t1[l - ll + 1 + ((i - ii + 4) << 8) - 257]
413 * b[l + j * b_dim1];
414 f32 += t1[l - ll + 1 + ((i - ii + 3) << 8) - 257]
415 * b[l + (j + 1) * b_dim1];
416 f42 += t1[l - ll + 1 + ((i - ii + 4) << 8) - 257]
417 * b[l + (j + 1) * b_dim1];
418 f33 += t1[l - ll + 1 + ((i - ii + 3) << 8) - 257]
419 * b[l + (j + 2) * b_dim1];
420 f43 += t1[l - ll + 1 + ((i - ii + 4) << 8) - 257]
421 * b[l + (j + 2) * b_dim1];
422 f34 += t1[l - ll + 1 + ((i - ii + 3) << 8) - 257]
423 * b[l + (j + 3) * b_dim1];
424 f44 += t1[l - ll + 1 + ((i - ii + 4) << 8) - 257]
425 * b[l + (j + 3) * b_dim1];
426 }
427 c[i + j * c_dim1] = f11;
428 c[i + 1 + j * c_dim1] = f21;
429 c[i + (j + 1) * c_dim1] = f12;
430 c[i + 1 + (j + 1) * c_dim1] = f22;
431 c[i + (j + 2) * c_dim1] = f13;
432 c[i + 1 + (j + 2) * c_dim1] = f23;
433 c[i + (j + 3) * c_dim1] = f14;
434 c[i + 1 + (j + 3) * c_dim1] = f24;
435 c[i + 2 + j * c_dim1] = f31;
436 c[i + 3 + j * c_dim1] = f41;
437 c[i + 2 + (j + 1) * c_dim1] = f32;
438 c[i + 3 + (j + 1) * c_dim1] = f42;
439 c[i + 2 + (j + 2) * c_dim1] = f33;
440 c[i + 3 + (j + 2) * c_dim1] = f43;
441 c[i + 2 + (j + 3) * c_dim1] = f34;
442 c[i + 3 + (j + 3) * c_dim1] = f44;
443 }
444 if (uisec < isec)
445 {
446 i5 = ii + isec - 1;
447 for (i = ii + uisec; i <= i5; ++i)
448 {
449 f11 = c[i + j * c_dim1];
450 f12 = c[i + (j + 1) * c_dim1];
451 f13 = c[i + (j + 2) * c_dim1];
452 f14 = c[i + (j + 3) * c_dim1];
453 i6 = ll + lsec - 1;
454 for (l = ll; l <= i6; ++l)
455 {
456 f11 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
457 257] * b[l + j * b_dim1];
458 f12 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
459 257] * b[l + (j + 1) * b_dim1];
460 f13 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
461 257] * b[l + (j + 2) * b_dim1];
462 f14 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
463 257] * b[l + (j + 3) * b_dim1];
464 }
465 c[i + j * c_dim1] = f11;
466 c[i + (j + 1) * c_dim1] = f12;
467 c[i + (j + 2) * c_dim1] = f13;
468 c[i + (j + 3) * c_dim1] = f14;
469 }
470 }
471 }
472 if (ujsec < jsec)
473 {
474 i4 = jj + jsec - 1;
475 for (j = jj + ujsec; j <= i4; ++j)
476 {
477 i5 = ii + uisec - 1;
478 for (i = ii; i <= i5; i += 4)
479 {
480 f11 = c[i + j * c_dim1];
481 f21 = c[i + 1 + j * c_dim1];
482 f31 = c[i + 2 + j * c_dim1];
483 f41 = c[i + 3 + j * c_dim1];
484 i6 = ll + lsec - 1;
485 for (l = ll; l <= i6; ++l)
486 {
487 f11 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
488 257] * b[l + j * b_dim1];
489 f21 += t1[l - ll + 1 + ((i - ii + 2) << 8) -
490 257] * b[l + j * b_dim1];
491 f31 += t1[l - ll + 1 + ((i - ii + 3) << 8) -
492 257] * b[l + j * b_dim1];
493 f41 += t1[l - ll + 1 + ((i - ii + 4) << 8) -
494 257] * b[l + j * b_dim1];
495 }
496 c[i + j * c_dim1] = f11;
497 c[i + 1 + j * c_dim1] = f21;
498 c[i + 2 + j * c_dim1] = f31;
499 c[i + 3 + j * c_dim1] = f41;
500 }
501 i5 = ii + isec - 1;
502 for (i = ii + uisec; i <= i5; ++i)
503 {
504 f11 = c[i + j * c_dim1];
505 i6 = ll + lsec - 1;
506 for (l = ll; l <= i6; ++l)
507 {
508 f11 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
509 257] * b[l + j * b_dim1];
510 }
511 c[i + j * c_dim1] = f11;
512 }
513 }
514 }
515 }
516 }
517 }
518 free(t1);
519 return;
520 }
521 else if (rxstride == 1 && aystride == 1 && bxstride == 1)
522 {
523 if (GFC_DESCRIPTOR_RANK (a) != 1)
524 {
525 const GFC_INTEGER_2 *restrict abase_x;
526 const GFC_INTEGER_2 *restrict bbase_y;
527 GFC_INTEGER_2 *restrict dest_y;
528 GFC_INTEGER_2 s;
529
530 for (y = 0; y < ycount; y++)
531 {
532 bbase_y = &bbase[y*bystride];
533 dest_y = &dest[y*rystride];
534 for (x = 0; x < xcount; x++)
535 {
536 abase_x = &abase[x*axstride];
537 s = (GFC_INTEGER_2) 0;
538 for (n = 0; n < count; n++)
539 s += abase_x[n] * bbase_y[n];
540 dest_y[x] = s;
541 }
542 }
543 }
544 else
545 {
546 const GFC_INTEGER_2 *restrict bbase_y;
547 GFC_INTEGER_2 s;
548
549 for (y = 0; y < ycount; y++)
550 {
551 bbase_y = &bbase[y*bystride];
552 s = (GFC_INTEGER_2) 0;
553 for (n = 0; n < count; n++)
554 s += abase[n*axstride] * bbase_y[n];
555 dest[y*rystride] = s;
556 }
557 }
558 }
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559 else if (GFC_DESCRIPTOR_RANK (a) == 1)
560 {
561 const GFC_INTEGER_2 *restrict bbase_y;
562 GFC_INTEGER_2 s;
563
564 for (y = 0; y < ycount; y++)
565 {
566 bbase_y = &bbase[y*bystride];
567 s = (GFC_INTEGER_2) 0;
568 for (n = 0; n < count; n++)
569 s += abase[n*axstride] * bbase_y[n*bxstride];
570 dest[y*rxstride] = s;
571 }
572 }
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573 else if (axstride < aystride)
574 {
575 for (y = 0; y < ycount; y++)
576 for (x = 0; x < xcount; x++)
577 dest[x*rxstride + y*rystride] = (GFC_INTEGER_2)0;
578
579 for (y = 0; y < ycount; y++)
580 for (n = 0; n < count; n++)
581 for (x = 0; x < xcount; x++)
582 /* dest[x,y] += a[x,n] * b[n,y] */
583 dest[x*rxstride + y*rystride] +=
584 abase[x*axstride + n*aystride] *
585 bbase[n*bxstride + y*bystride];
586 }
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587 else
588 {
589 const GFC_INTEGER_2 *restrict abase_x;
590 const GFC_INTEGER_2 *restrict bbase_y;
591 GFC_INTEGER_2 *restrict dest_y;
592 GFC_INTEGER_2 s;
593
594 for (y = 0; y < ycount; y++)
595 {
596 bbase_y = &bbase[y*bystride];
597 dest_y = &dest[y*rystride];
598 for (x = 0; x < xcount; x++)
599 {
600 abase_x = &abase[x*axstride];
601 s = (GFC_INTEGER_2) 0;
602 for (n = 0; n < count; n++)
603 s += abase_x[n*aystride] * bbase_y[n*bxstride];
604 dest_y[x*rxstride] = s;
605 }
606 }
607 }
608}
609#undef POW3
610#undef min
611#undef max
612
613#endif
614
615#if defined(HAVE_AVX) && defined(HAVE_FMA4) && defined(HAVE_AVX128)
616void
617matmul_i2_avx128_fma4 (gfc_array_i2 * const restrict retarray,
618 gfc_array_i2 * const restrict a, gfc_array_i2 * const restrict b, int try_blas,
619 int blas_limit, blas_call gemm) __attribute__((__target__("avx,fma4")));
620internal_proto(matmul_i2_avx128_fma4);
621void
622matmul_i2_avx128_fma4 (gfc_array_i2 * const restrict retarray,
623 gfc_array_i2 * const restrict a, gfc_array_i2 * const restrict b, int try_blas,
624 int blas_limit, blas_call gemm)
625{
626 const GFC_INTEGER_2 * restrict abase;
627 const GFC_INTEGER_2 * restrict bbase;
628 GFC_INTEGER_2 * restrict dest;
629
630 index_type rxstride, rystride, axstride, aystride, bxstride, bystride;
631 index_type x, y, n, count, xcount, ycount;
632
633 assert (GFC_DESCRIPTOR_RANK (a) == 2
634 || GFC_DESCRIPTOR_RANK (b) == 2);
635
636/* C[xcount,ycount] = A[xcount, count] * B[count,ycount]
637
638 Either A or B (but not both) can be rank 1:
639
640 o One-dimensional argument A is implicitly treated as a row matrix
641 dimensioned [1,count], so xcount=1.
642
643 o One-dimensional argument B is implicitly treated as a column matrix
644 dimensioned [count, 1], so ycount=1.
645*/
646
647 if (retarray->base_addr == NULL)
648 {
649 if (GFC_DESCRIPTOR_RANK (a) == 1)
650 {
651 GFC_DIMENSION_SET(retarray->dim[0], 0,
652 GFC_DESCRIPTOR_EXTENT(b,1) - 1, 1);
653 }
654 else if (GFC_DESCRIPTOR_RANK (b) == 1)
655 {
656 GFC_DIMENSION_SET(retarray->dim[0], 0,
657 GFC_DESCRIPTOR_EXTENT(a,0) - 1, 1);
658 }
659 else
660 {
661 GFC_DIMENSION_SET(retarray->dim[0], 0,
662 GFC_DESCRIPTOR_EXTENT(a,0) - 1, 1);
663
664 GFC_DIMENSION_SET(retarray->dim[1], 0,
665 GFC_DESCRIPTOR_EXTENT(b,1) - 1,
666 GFC_DESCRIPTOR_EXTENT(retarray,0));
667 }
668
669 retarray->base_addr
670 = xmallocarray (size0 ((array_t *) retarray), sizeof (GFC_INTEGER_2));
671 retarray->offset = 0;
672 }
673 else if (unlikely (compile_options.bounds_check))
674 {
675 index_type ret_extent, arg_extent;
676
677 if (GFC_DESCRIPTOR_RANK (a) == 1)
678 {
679 arg_extent = GFC_DESCRIPTOR_EXTENT(b,1);
680 ret_extent = GFC_DESCRIPTOR_EXTENT(retarray,0);
681 if (arg_extent != ret_extent)
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682 runtime_error ("Array bound mismatch for dimension 1 of "
683 "array (%ld/%ld) ",
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684 (long int) ret_extent, (long int) arg_extent);
685 }
686 else if (GFC_DESCRIPTOR_RANK (b) == 1)
687 {
688 arg_extent = GFC_DESCRIPTOR_EXTENT(a,0);
689 ret_extent = GFC_DESCRIPTOR_EXTENT(retarray,0);
690 if (arg_extent != ret_extent)
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691 runtime_error ("Array bound mismatch for dimension 1 of "
692 "array (%ld/%ld) ",
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693 (long int) ret_extent, (long int) arg_extent);
694 }
695 else
696 {
697 arg_extent = GFC_DESCRIPTOR_EXTENT(a,0);
698 ret_extent = GFC_DESCRIPTOR_EXTENT(retarray,0);
699 if (arg_extent != ret_extent)
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700 runtime_error ("Array bound mismatch for dimension 1 of "
701 "array (%ld/%ld) ",
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702 (long int) ret_extent, (long int) arg_extent);
703
704 arg_extent = GFC_DESCRIPTOR_EXTENT(b,1);
705 ret_extent = GFC_DESCRIPTOR_EXTENT(retarray,1);
706 if (arg_extent != ret_extent)
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707 runtime_error ("Array bound mismatch for dimension 2 of "
708 "array (%ld/%ld) ",
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709 (long int) ret_extent, (long int) arg_extent);
710 }
711 }
712
713
714 if (GFC_DESCRIPTOR_RANK (retarray) == 1)
715 {
716 /* One-dimensional result may be addressed in the code below
717 either as a row or a column matrix. We want both cases to
718 work. */
719 rxstride = rystride = GFC_DESCRIPTOR_STRIDE(retarray,0);
720 }
721 else
722 {
723 rxstride = GFC_DESCRIPTOR_STRIDE(retarray,0);
724 rystride = GFC_DESCRIPTOR_STRIDE(retarray,1);
725 }
726
727
728 if (GFC_DESCRIPTOR_RANK (a) == 1)
729 {
730 /* Treat it as a a row matrix A[1,count]. */
731 axstride = GFC_DESCRIPTOR_STRIDE(a,0);
732 aystride = 1;
733
734 xcount = 1;
735 count = GFC_DESCRIPTOR_EXTENT(a,0);
736 }
737 else
738 {
739 axstride = GFC_DESCRIPTOR_STRIDE(a,0);
740 aystride = GFC_DESCRIPTOR_STRIDE(a,1);
741
742 count = GFC_DESCRIPTOR_EXTENT(a,1);
743 xcount = GFC_DESCRIPTOR_EXTENT(a,0);
744 }
745
746 if (count != GFC_DESCRIPTOR_EXTENT(b,0))
747 {
748 if (count > 0 || GFC_DESCRIPTOR_EXTENT(b,0) > 0)
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749 runtime_error ("Incorrect extent in argument B in MATMUL intrinsic "
750 "in dimension 1: is %ld, should be %ld",
751 (long int) GFC_DESCRIPTOR_EXTENT(b,0), (long int) count);
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752 }
753
754 if (GFC_DESCRIPTOR_RANK (b) == 1)
755 {
756 /* Treat it as a column matrix B[count,1] */
757 bxstride = GFC_DESCRIPTOR_STRIDE(b,0);
758
759 /* bystride should never be used for 1-dimensional b.
760 The value is only used for calculation of the
761 memory by the buffer. */
762 bystride = 256;
763 ycount = 1;
764 }
765 else
766 {
767 bxstride = GFC_DESCRIPTOR_STRIDE(b,0);
768 bystride = GFC_DESCRIPTOR_STRIDE(b,1);
769 ycount = GFC_DESCRIPTOR_EXTENT(b,1);
770 }
771
772 abase = a->base_addr;
773 bbase = b->base_addr;
774 dest = retarray->base_addr;
775
776 /* Now that everything is set up, we perform the multiplication
777 itself. */
778
779#define POW3(x) (((float) (x)) * ((float) (x)) * ((float) (x)))
780#define min(a,b) ((a) <= (b) ? (a) : (b))
781#define max(a,b) ((a) >= (b) ? (a) : (b))
782
783 if (try_blas && rxstride == 1 && (axstride == 1 || aystride == 1)
784 && (bxstride == 1 || bystride == 1)
785 && (((float) xcount) * ((float) ycount) * ((float) count)
786 > POW3(blas_limit)))
787 {
788 const int m = xcount, n = ycount, k = count, ldc = rystride;
789 const GFC_INTEGER_2 one = 1, zero = 0;
790 const int lda = (axstride == 1) ? aystride : axstride,
791 ldb = (bxstride == 1) ? bystride : bxstride;
792
793 if (lda > 0 && ldb > 0 && ldc > 0 && m > 1 && n > 1 && k > 1)
794 {
795 assert (gemm != NULL);
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796 const char *transa, *transb;
797 if (try_blas & 2)
798 transa = "C";
799 else
800 transa = axstride == 1 ? "N" : "T";
801
802 if (try_blas & 4)
803 transb = "C";
804 else
805 transb = bxstride == 1 ? "N" : "T";
806
807 gemm (transa, transb , &m,
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808 &n, &k, &one, abase, &lda, bbase, &ldb, &zero, dest,
809 &ldc, 1, 1);
810 return;
811 }
812 }
813
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814 if (rxstride == 1 && axstride == 1 && bxstride == 1
815 && GFC_DESCRIPTOR_RANK (b) != 1)
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816 {
817 /* This block of code implements a tuned matmul, derived from
818 Superscalar GEMM-based level 3 BLAS, Beta version 0.1
819
820 Bo Kagstrom and Per Ling
821 Department of Computing Science
822 Umea University
823 S-901 87 Umea, Sweden
824
825 from netlib.org, translated to C, and modified for matmul.m4. */
826
827 const GFC_INTEGER_2 *a, *b;
828 GFC_INTEGER_2 *c;
829 const index_type m = xcount, n = ycount, k = count;
830
831 /* System generated locals */
832 index_type a_dim1, a_offset, b_dim1, b_offset, c_dim1, c_offset,
833 i1, i2, i3, i4, i5, i6;
834
835 /* Local variables */
836 GFC_INTEGER_2 f11, f12, f21, f22, f31, f32, f41, f42,
837 f13, f14, f23, f24, f33, f34, f43, f44;
838 index_type i, j, l, ii, jj, ll;
839 index_type isec, jsec, lsec, uisec, ujsec, ulsec;
840 GFC_INTEGER_2 *t1;
841
842 a = abase;
843 b = bbase;
844 c = retarray->base_addr;
845
846 /* Parameter adjustments */
847 c_dim1 = rystride;
848 c_offset = 1 + c_dim1;
849 c -= c_offset;
850 a_dim1 = aystride;
851 a_offset = 1 + a_dim1;
852 a -= a_offset;
853 b_dim1 = bystride;
854 b_offset = 1 + b_dim1;
855 b -= b_offset;
856
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857 /* Empty c first. */
858 for (j=1; j<=n; j++)
859 for (i=1; i<=m; i++)
860 c[i + j * c_dim1] = (GFC_INTEGER_2)0;
861
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862 /* Early exit if possible */
863 if (m == 0 || n == 0 || k == 0)
864 return;
865
866 /* Adjust size of t1 to what is needed. */
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867 index_type t1_dim, a_sz;
868 if (aystride == 1)
869 a_sz = rystride;
870 else
871 a_sz = a_dim1;
872
873 t1_dim = a_sz * 256 + b_dim1;
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874 if (t1_dim > 65536)
875 t1_dim = 65536;
876
877 t1 = malloc (t1_dim * sizeof(GFC_INTEGER_2));
878
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879 /* Start turning the crank. */
880 i1 = n;
881 for (jj = 1; jj <= i1; jj += 512)
882 {
883 /* Computing MIN */
884 i2 = 512;
885 i3 = n - jj + 1;
886 jsec = min(i2,i3);
887 ujsec = jsec - jsec % 4;
888 i2 = k;
889 for (ll = 1; ll <= i2; ll += 256)
890 {
891 /* Computing MIN */
892 i3 = 256;
893 i4 = k - ll + 1;
894 lsec = min(i3,i4);
895 ulsec = lsec - lsec % 2;
896
897 i3 = m;
898 for (ii = 1; ii <= i3; ii += 256)
899 {
900 /* Computing MIN */
901 i4 = 256;
902 i5 = m - ii + 1;
903 isec = min(i4,i5);
904 uisec = isec - isec % 2;
905 i4 = ll + ulsec - 1;
906 for (l = ll; l <= i4; l += 2)
907 {
908 i5 = ii + uisec - 1;
909 for (i = ii; i <= i5; i += 2)
910 {
911 t1[l - ll + 1 + ((i - ii + 1) << 8) - 257] =
912 a[i + l * a_dim1];
913 t1[l - ll + 2 + ((i - ii + 1) << 8) - 257] =
914 a[i + (l + 1) * a_dim1];
915 t1[l - ll + 1 + ((i - ii + 2) << 8) - 257] =
916 a[i + 1 + l * a_dim1];
917 t1[l - ll + 2 + ((i - ii + 2) << 8) - 257] =
918 a[i + 1 + (l + 1) * a_dim1];
919 }
920 if (uisec < isec)
921 {
922 t1[l - ll + 1 + (isec << 8) - 257] =
923 a[ii + isec - 1 + l * a_dim1];
924 t1[l - ll + 2 + (isec << 8) - 257] =
925 a[ii + isec - 1 + (l + 1) * a_dim1];
926 }
927 }
928 if (ulsec < lsec)
929 {
930 i4 = ii + isec - 1;
931 for (i = ii; i<= i4; ++i)
932 {
933 t1[lsec + ((i - ii + 1) << 8) - 257] =
934 a[i + (ll + lsec - 1) * a_dim1];
935 }
936 }
937
938 uisec = isec - isec % 4;
939 i4 = jj + ujsec - 1;
940 for (j = jj; j <= i4; j += 4)
941 {
942 i5 = ii + uisec - 1;
943 for (i = ii; i <= i5; i += 4)
944 {
945 f11 = c[i + j * c_dim1];
946 f21 = c[i + 1 + j * c_dim1];
947 f12 = c[i + (j + 1) * c_dim1];
948 f22 = c[i + 1 + (j + 1) * c_dim1];
949 f13 = c[i + (j + 2) * c_dim1];
950 f23 = c[i + 1 + (j + 2) * c_dim1];
951 f14 = c[i + (j + 3) * c_dim1];
952 f24 = c[i + 1 + (j + 3) * c_dim1];
953 f31 = c[i + 2 + j * c_dim1];
954 f41 = c[i + 3 + j * c_dim1];
955 f32 = c[i + 2 + (j + 1) * c_dim1];
956 f42 = c[i + 3 + (j + 1) * c_dim1];
957 f33 = c[i + 2 + (j + 2) * c_dim1];
958 f43 = c[i + 3 + (j + 2) * c_dim1];
959 f34 = c[i + 2 + (j + 3) * c_dim1];
960 f44 = c[i + 3 + (j + 3) * c_dim1];
961 i6 = ll + lsec - 1;
962 for (l = ll; l <= i6; ++l)
963 {
964 f11 += t1[l - ll + 1 + ((i - ii + 1) << 8) - 257]
965 * b[l + j * b_dim1];
966 f21 += t1[l - ll + 1 + ((i - ii + 2) << 8) - 257]
967 * b[l + j * b_dim1];
968 f12 += t1[l - ll + 1 + ((i - ii + 1) << 8) - 257]
969 * b[l + (j + 1) * b_dim1];
970 f22 += t1[l - ll + 1 + ((i - ii + 2) << 8) - 257]
971 * b[l + (j + 1) * b_dim1];
972 f13 += t1[l - ll + 1 + ((i - ii + 1) << 8) - 257]
973 * b[l + (j + 2) * b_dim1];
974 f23 += t1[l - ll + 1 + ((i - ii + 2) << 8) - 257]
975 * b[l + (j + 2) * b_dim1];
976 f14 += t1[l - ll + 1 + ((i - ii + 1) << 8) - 257]
977 * b[l + (j + 3) * b_dim1];
978 f24 += t1[l - ll + 1 + ((i - ii + 2) << 8) - 257]
979 * b[l + (j + 3) * b_dim1];
980 f31 += t1[l - ll + 1 + ((i - ii + 3) << 8) - 257]
981 * b[l + j * b_dim1];
982 f41 += t1[l - ll + 1 + ((i - ii + 4) << 8) - 257]
983 * b[l + j * b_dim1];
984 f32 += t1[l - ll + 1 + ((i - ii + 3) << 8) - 257]
985 * b[l + (j + 1) * b_dim1];
986 f42 += t1[l - ll + 1 + ((i - ii + 4) << 8) - 257]
987 * b[l + (j + 1) * b_dim1];
988 f33 += t1[l - ll + 1 + ((i - ii + 3) << 8) - 257]
989 * b[l + (j + 2) * b_dim1];
990 f43 += t1[l - ll + 1 + ((i - ii + 4) << 8) - 257]
991 * b[l + (j + 2) * b_dim1];
992 f34 += t1[l - ll + 1 + ((i - ii + 3) << 8) - 257]
993 * b[l + (j + 3) * b_dim1];
994 f44 += t1[l - ll + 1 + ((i - ii + 4) << 8) - 257]
995 * b[l + (j + 3) * b_dim1];
996 }
997 c[i + j * c_dim1] = f11;
998 c[i + 1 + j * c_dim1] = f21;
999 c[i + (j + 1) * c_dim1] = f12;
1000 c[i + 1 + (j + 1) * c_dim1] = f22;
1001 c[i + (j + 2) * c_dim1] = f13;
1002 c[i + 1 + (j + 2) * c_dim1] = f23;
1003 c[i + (j + 3) * c_dim1] = f14;
1004 c[i + 1 + (j + 3) * c_dim1] = f24;
1005 c[i + 2 + j * c_dim1] = f31;
1006 c[i + 3 + j * c_dim1] = f41;
1007 c[i + 2 + (j + 1) * c_dim1] = f32;
1008 c[i + 3 + (j + 1) * c_dim1] = f42;
1009 c[i + 2 + (j + 2) * c_dim1] = f33;
1010 c[i + 3 + (j + 2) * c_dim1] = f43;
1011 c[i + 2 + (j + 3) * c_dim1] = f34;
1012 c[i + 3 + (j + 3) * c_dim1] = f44;
1013 }
1014 if (uisec < isec)
1015 {
1016 i5 = ii + isec - 1;
1017 for (i = ii + uisec; i <= i5; ++i)
1018 {
1019 f11 = c[i + j * c_dim1];
1020 f12 = c[i + (j + 1) * c_dim1];
1021 f13 = c[i + (j + 2) * c_dim1];
1022 f14 = c[i + (j + 3) * c_dim1];
1023 i6 = ll + lsec - 1;
1024 for (l = ll; l <= i6; ++l)
1025 {
1026 f11 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
1027 257] * b[l + j * b_dim1];
1028 f12 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
1029 257] * b[l + (j + 1) * b_dim1];
1030 f13 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
1031 257] * b[l + (j + 2) * b_dim1];
1032 f14 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
1033 257] * b[l + (j + 3) * b_dim1];
1034 }
1035 c[i + j * c_dim1] = f11;
1036 c[i + (j + 1) * c_dim1] = f12;
1037 c[i + (j + 2) * c_dim1] = f13;
1038 c[i + (j + 3) * c_dim1] = f14;
1039 }
1040 }
1041 }
1042 if (ujsec < jsec)
1043 {
1044 i4 = jj + jsec - 1;
1045 for (j = jj + ujsec; j <= i4; ++j)
1046 {
1047 i5 = ii + uisec - 1;
1048 for (i = ii; i <= i5; i += 4)
1049 {
1050 f11 = c[i + j * c_dim1];
1051 f21 = c[i + 1 + j * c_dim1];
1052 f31 = c[i + 2 + j * c_dim1];
1053 f41 = c[i + 3 + j * c_dim1];
1054 i6 = ll + lsec - 1;
1055 for (l = ll; l <= i6; ++l)
1056 {
1057 f11 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
1058 257] * b[l + j * b_dim1];
1059 f21 += t1[l - ll + 1 + ((i - ii + 2) << 8) -
1060 257] * b[l + j * b_dim1];
1061 f31 += t1[l - ll + 1 + ((i - ii + 3) << 8) -
1062 257] * b[l + j * b_dim1];
1063 f41 += t1[l - ll + 1 + ((i - ii + 4) << 8) -
1064 257] * b[l + j * b_dim1];
1065 }
1066 c[i + j * c_dim1] = f11;
1067 c[i + 1 + j * c_dim1] = f21;
1068 c[i + 2 + j * c_dim1] = f31;
1069 c[i + 3 + j * c_dim1] = f41;
1070 }
1071 i5 = ii + isec - 1;
1072 for (i = ii + uisec; i <= i5; ++i)
1073 {
1074 f11 = c[i + j * c_dim1];
1075 i6 = ll + lsec - 1;
1076 for (l = ll; l <= i6; ++l)
1077 {
1078 f11 += t1[l - ll + 1 + ((i - ii + 1) << 8) -
1079 257] * b[l + j * b_dim1];
1080 }
1081 c[i + j * c_dim1] = f11;
1082 }
1083 }
1084 }
1085 }
1086 }
1087 }
1088 free(t1);
1089 return;
1090 }
1091 else if (rxstride == 1 && aystride == 1 && bxstride == 1)
1092 {
1093 if (GFC_DESCRIPTOR_RANK (a) != 1)
1094 {
1095 const GFC_INTEGER_2 *restrict abase_x;
1096 const GFC_INTEGER_2 *restrict bbase_y;
1097 GFC_INTEGER_2 *restrict dest_y;
1098 GFC_INTEGER_2 s;
1099
1100 for (y = 0; y < ycount; y++)
1101 {
1102 bbase_y = &bbase[y*bystride];
1103 dest_y = &dest[y*rystride];
1104 for (x = 0; x < xcount; x++)
1105 {
1106 abase_x = &abase[x*axstride];
1107 s = (GFC_INTEGER_2) 0;
1108 for (n = 0; n < count; n++)
1109 s += abase_x[n] * bbase_y[n];
1110 dest_y[x] = s;
1111 }
1112 }
1113 }
1114 else
1115 {
1116 const GFC_INTEGER_2 *restrict bbase_y;
1117 GFC_INTEGER_2 s;
1118
1119 for (y = 0; y < ycount; y++)
1120 {
1121 bbase_y = &bbase[y*bystride];
1122 s = (GFC_INTEGER_2) 0;
1123 for (n = 0; n < count; n++)
1124 s += abase[n*axstride] * bbase_y[n];
1125 dest[y*rystride] = s;
1126 }
1127 }
1128 }
1d5cf7fc
TK
1129 else if (GFC_DESCRIPTOR_RANK (a) == 1)
1130 {
1131 const GFC_INTEGER_2 *restrict bbase_y;
1132 GFC_INTEGER_2 s;
1133
1134 for (y = 0; y < ycount; y++)
1135 {
1136 bbase_y = &bbase[y*bystride];
1137 s = (GFC_INTEGER_2) 0;
1138 for (n = 0; n < count; n++)
1139 s += abase[n*axstride] * bbase_y[n*bxstride];
1140 dest[y*rxstride] = s;
1141 }
1142 }
cd6cd6ae
HA
1143 else if (axstride < aystride)
1144 {
1145 for (y = 0; y < ycount; y++)
1146 for (x = 0; x < xcount; x++)
1147 dest[x*rxstride + y*rystride] = (GFC_INTEGER_2)0;
1148
1149 for (y = 0; y < ycount; y++)
1150 for (n = 0; n < count; n++)
1151 for (x = 0; x < xcount; x++)
1152 /* dest[x,y] += a[x,n] * b[n,y] */
1153 dest[x*rxstride + y*rystride] +=
1154 abase[x*axstride + n*aystride] *
1155 bbase[n*bxstride + y*bystride];
1156 }
1d5cf7fc
TK
1157 else
1158 {
1159 const GFC_INTEGER_2 *restrict abase_x;
1160 const GFC_INTEGER_2 *restrict bbase_y;
1161 GFC_INTEGER_2 *restrict dest_y;
1162 GFC_INTEGER_2 s;
1163
1164 for (y = 0; y < ycount; y++)
1165 {
1166 bbase_y = &bbase[y*bystride];
1167 dest_y = &dest[y*rystride];
1168 for (x = 0; x < xcount; x++)
1169 {
1170 abase_x = &abase[x*axstride];
1171 s = (GFC_INTEGER_2) 0;
1172 for (n = 0; n < count; n++)
1173 s += abase_x[n*aystride] * bbase_y[n*bxstride];
1174 dest_y[x*rxstride] = s;
1175 }
1176 }
1177 }
1178}
1179#undef POW3
1180#undef min
1181#undef max
1182
1183#endif
1184
1185#endif
1186