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1 | /* Implementation of the MATMUL intrinsic |
2 | Copyright (C) 2002-2017 Free Software Foundation, Inc. | |
3 | Contributed by Thomas Koenig <tkoenig@gcc.gnu.org>. | |
4 | ||
5 | This file is part of the GNU Fortran runtime library (libgfortran). | |
6 | ||
7 | Libgfortran is free software; you can redistribute it and/or | |
8 | modify it under the terms of the GNU General Public | |
9 | License as published by the Free Software Foundation; either | |
10 | version 3 of the License, or (at your option) any later version. | |
11 | ||
12 | Libgfortran is distributed in the hope that it will be useful, | |
13 | but WITHOUT ANY WARRANTY; without even the implied warranty of | |
14 | MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the | |
15 | GNU General Public License for more details. | |
16 | ||
17 | Under Section 7 of GPL version 3, you are granted additional | |
18 | permissions described in the GCC Runtime Library Exception, version | |
19 | 3.1, as published by the Free Software Foundation. | |
20 | ||
21 | You should have received a copy of the GNU General Public License and | |
22 | a copy of the GCC Runtime Library Exception along with this program; | |
23 | see the files COPYING3 and COPYING.RUNTIME respectively. If not, see | |
24 | <http://www.gnu.org/licenses/>. */ | |
25 | ||
26 | #include "libgfortran.h" | |
27 | #include <string.h> | |
28 | #include <assert.h> | |
29 | ||
30 | ||
31 | /* These are the specific versions of matmul with -mprefer-avx128. */ | |
32 | ||
33 | #if defined (HAVE_GFC_COMPLEX_16) | |
34 | ||
35 | /* Prototype for the BLAS ?gemm subroutine, a pointer to which can be | |
36 | passed to us by the front-end, in which case we call it for large | |
37 | matrices. */ | |
38 | ||
39 | typedef void (*blas_call)(const char *, const char *, const int *, const int *, | |
40 | const int *, const GFC_COMPLEX_16 *, const GFC_COMPLEX_16 *, | |
41 | const int *, const GFC_COMPLEX_16 *, const int *, | |
42 | const GFC_COMPLEX_16 *, GFC_COMPLEX_16 *, const int *, | |
43 | int, int); | |
44 | ||
45 | #if defined(HAVE_AVX) && defined(HAVE_FMA3) && defined(HAVE_AVX128) | |
46 | void | |
47 | matmul_c16_avx128_fma3 (gfc_array_c16 * const restrict retarray, | |
48 | gfc_array_c16 * const restrict a, gfc_array_c16 * const restrict b, int try_blas, | |
49 | int blas_limit, blas_call gemm) __attribute__((__target__("avx,fma"))); | |
50 | internal_proto(matmul_c16_avx128_fma3); | |
51 | void | |
52 | matmul_c16_avx128_fma3 (gfc_array_c16 * const restrict retarray, | |
53 | gfc_array_c16 * const restrict a, gfc_array_c16 * const restrict b, int try_blas, | |
54 | int blas_limit, blas_call gemm) | |
55 | { | |
56 | const GFC_COMPLEX_16 * restrict abase; | |
57 | const GFC_COMPLEX_16 * restrict bbase; | |
58 | GFC_COMPLEX_16 * restrict dest; | |
59 | ||
60 | index_type rxstride, rystride, axstride, aystride, bxstride, bystride; | |
61 | index_type x, y, n, count, xcount, ycount; | |
62 | ||
63 | assert (GFC_DESCRIPTOR_RANK (a) == 2 | |
64 | || GFC_DESCRIPTOR_RANK (b) == 2); | |
65 | ||
66 | /* C[xcount,ycount] = A[xcount, count] * B[count,ycount] | |
67 | ||
68 | Either A or B (but not both) can be rank 1: | |
69 | ||
70 | o One-dimensional argument A is implicitly treated as a row matrix | |
71 | dimensioned [1,count], so xcount=1. | |
72 | ||
73 | o One-dimensional argument B is implicitly treated as a column matrix | |
74 | dimensioned [count, 1], so ycount=1. | |
75 | */ | |
76 | ||
77 | if (retarray->base_addr == NULL) | |
78 | { | |
79 | if (GFC_DESCRIPTOR_RANK (a) == 1) | |
80 | { | |
81 | GFC_DIMENSION_SET(retarray->dim[0], 0, | |
82 | GFC_DESCRIPTOR_EXTENT(b,1) - 1, 1); | |
83 | } | |
84 | else if (GFC_DESCRIPTOR_RANK (b) == 1) | |
85 | { | |
86 | GFC_DIMENSION_SET(retarray->dim[0], 0, | |
87 | GFC_DESCRIPTOR_EXTENT(a,0) - 1, 1); | |
88 | } | |
89 | else | |
90 | { | |
91 | GFC_DIMENSION_SET(retarray->dim[0], 0, | |
92 | GFC_DESCRIPTOR_EXTENT(a,0) - 1, 1); | |
93 | ||
94 | GFC_DIMENSION_SET(retarray->dim[1], 0, | |
95 | GFC_DESCRIPTOR_EXTENT(b,1) - 1, | |
96 | GFC_DESCRIPTOR_EXTENT(retarray,0)); | |
97 | } | |
98 | ||
99 | retarray->base_addr | |
100 | = xmallocarray (size0 ((array_t *) retarray), sizeof (GFC_COMPLEX_16)); | |
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) | |
112 | runtime_error ("Incorrect extent in return array in" | |
113 | " MATMUL intrinsic: is %ld, should be %ld", | |
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) | |
121 | runtime_error ("Incorrect extent in return array in" | |
122 | " MATMUL intrinsic: is %ld, should be %ld", | |
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) | |
130 | runtime_error ("Incorrect extent in return array in" | |
131 | " MATMUL intrinsic for dimension 1:" | |
132 | " is %ld, should be %ld", | |
133 | (long int) ret_extent, (long int) arg_extent); | |
134 | ||
135 | arg_extent = GFC_DESCRIPTOR_EXTENT(b,1); | |
136 | ret_extent = GFC_DESCRIPTOR_EXTENT(retarray,1); | |
137 | if (arg_extent != ret_extent) | |
138 | runtime_error ("Incorrect extent in return array in" | |
139 | " MATMUL intrinsic for dimension 2:" | |
140 | " is %ld, should be %ld", | |
141 | (long int) ret_extent, (long int) arg_extent); | |
142 | } | |
143 | } | |
144 | ||
145 | ||
146 | if (GFC_DESCRIPTOR_RANK (retarray) == 1) | |
147 | { | |
148 | /* One-dimensional result may be addressed in the code below | |
149 | either as a row or a column matrix. We want both cases to | |
150 | work. */ | |
151 | rxstride = rystride = GFC_DESCRIPTOR_STRIDE(retarray,0); | |
152 | } | |
153 | else | |
154 | { | |
155 | rxstride = GFC_DESCRIPTOR_STRIDE(retarray,0); | |
156 | rystride = GFC_DESCRIPTOR_STRIDE(retarray,1); | |
157 | } | |
158 | ||
159 | ||
160 | if (GFC_DESCRIPTOR_RANK (a) == 1) | |
161 | { | |
162 | /* Treat it as a a row matrix A[1,count]. */ | |
163 | axstride = GFC_DESCRIPTOR_STRIDE(a,0); | |
164 | aystride = 1; | |
165 | ||
166 | xcount = 1; | |
167 | count = GFC_DESCRIPTOR_EXTENT(a,0); | |
168 | } | |
169 | else | |
170 | { | |
171 | axstride = GFC_DESCRIPTOR_STRIDE(a,0); | |
172 | aystride = GFC_DESCRIPTOR_STRIDE(a,1); | |
173 | ||
174 | count = GFC_DESCRIPTOR_EXTENT(a,1); | |
175 | xcount = GFC_DESCRIPTOR_EXTENT(a,0); | |
176 | } | |
177 | ||
178 | if (count != GFC_DESCRIPTOR_EXTENT(b,0)) | |
179 | { | |
180 | if (count > 0 || GFC_DESCRIPTOR_EXTENT(b,0) > 0) | |
181 | runtime_error ("dimension of array B incorrect in MATMUL intrinsic"); | |
182 | } | |
183 | ||
184 | if (GFC_DESCRIPTOR_RANK (b) == 1) | |
185 | { | |
186 | /* Treat it as a column matrix B[count,1] */ | |
187 | bxstride = GFC_DESCRIPTOR_STRIDE(b,0); | |
188 | ||
189 | /* bystride should never be used for 1-dimensional b. | |
190 | The value is only used for calculation of the | |
191 | memory by the buffer. */ | |
192 | bystride = 256; | |
193 | ycount = 1; | |
194 | } | |
195 | else | |
196 | { | |
197 | bxstride = GFC_DESCRIPTOR_STRIDE(b,0); | |
198 | bystride = GFC_DESCRIPTOR_STRIDE(b,1); | |
199 | ycount = GFC_DESCRIPTOR_EXTENT(b,1); | |
200 | } | |
201 | ||
202 | abase = a->base_addr; | |
203 | bbase = b->base_addr; | |
204 | dest = retarray->base_addr; | |
205 | ||
206 | /* Now that everything is set up, we perform the multiplication | |
207 | itself. */ | |
208 | ||
209 | #define POW3(x) (((float) (x)) * ((float) (x)) * ((float) (x))) | |
210 | #define min(a,b) ((a) <= (b) ? (a) : (b)) | |
211 | #define max(a,b) ((a) >= (b) ? (a) : (b)) | |
212 | ||
213 | if (try_blas && rxstride == 1 && (axstride == 1 || aystride == 1) | |
214 | && (bxstride == 1 || bystride == 1) | |
215 | && (((float) xcount) * ((float) ycount) * ((float) count) | |
216 | > POW3(blas_limit))) | |
217 | { | |
218 | const int m = xcount, n = ycount, k = count, ldc = rystride; | |
219 | const GFC_COMPLEX_16 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); | |
226 | gemm (axstride == 1 ? "N" : "T", bxstride == 1 ? "N" : "T", &m, | |
227 | &n, &k, &one, abase, &lda, bbase, &ldb, &zero, dest, | |
228 | &ldc, 1, 1); | |
229 | return; | |
230 | } | |
231 | } | |
232 | ||
233 | if (rxstride == 1 && axstride == 1 && bxstride == 1) | |
234 | { | |
235 | /* This block of code implements a tuned matmul, derived from | |
236 | Superscalar GEMM-based level 3 BLAS, Beta version 0.1 | |
237 | ||
238 | Bo Kagstrom and Per Ling | |
239 | Department of Computing Science | |
240 | Umea University | |
241 | S-901 87 Umea, Sweden | |
242 | ||
243 | from netlib.org, translated to C, and modified for matmul.m4. */ | |
244 | ||
245 | const GFC_COMPLEX_16 *a, *b; | |
246 | GFC_COMPLEX_16 *c; | |
247 | const index_type m = xcount, n = ycount, k = count; | |
248 | ||
249 | /* System generated locals */ | |
250 | index_type a_dim1, a_offset, b_dim1, b_offset, c_dim1, c_offset, | |
251 | i1, i2, i3, i4, i5, i6; | |
252 | ||
253 | /* Local variables */ | |
254 | GFC_COMPLEX_16 f11, f12, f21, f22, f31, f32, f41, f42, | |
255 | f13, f14, f23, f24, f33, f34, f43, f44; | |
256 | index_type i, j, l, ii, jj, ll; | |
257 | index_type isec, jsec, lsec, uisec, ujsec, ulsec; | |
258 | GFC_COMPLEX_16 *t1; | |
259 | ||
260 | a = abase; | |
261 | b = bbase; | |
262 | c = retarray->base_addr; | |
263 | ||
264 | /* Parameter adjustments */ | |
265 | c_dim1 = rystride; | |
266 | c_offset = 1 + c_dim1; | |
267 | c -= c_offset; | |
268 | a_dim1 = aystride; | |
269 | a_offset = 1 + a_dim1; | |
270 | a -= a_offset; | |
271 | b_dim1 = bystride; | |
272 | b_offset = 1 + b_dim1; | |
273 | b -= b_offset; | |
274 | ||
275 | /* Early exit if possible */ | |
276 | if (m == 0 || n == 0 || k == 0) | |
277 | return; | |
278 | ||
279 | /* Adjust size of t1 to what is needed. */ | |
280 | index_type t1_dim; | |
281 | t1_dim = (a_dim1-1) * 256 + b_dim1; | |
282 | if (t1_dim > 65536) | |
283 | t1_dim = 65536; | |
284 | ||
285 | t1 = malloc (t1_dim * sizeof(GFC_COMPLEX_16)); | |
286 | ||
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_COMPLEX_16)0; | |
291 | ||
292 | /* Start turning the crank. */ | |
293 | i1 = n; | |
294 | for (jj = 1; jj <= i1; jj += 512) | |
295 | { | |
296 | /* Computing MIN */ | |
297 | i2 = 512; | |
298 | i3 = n - jj + 1; | |
299 | jsec = min(i2,i3); | |
300 | ujsec = jsec - jsec % 4; | |
301 | i2 = k; | |
302 | for (ll = 1; ll <= i2; ll += 256) | |
303 | { | |
304 | /* Computing MIN */ | |
305 | i3 = 256; | |
306 | i4 = k - ll + 1; | |
307 | lsec = min(i3,i4); | |
308 | ulsec = lsec - lsec % 2; | |
309 | ||
310 | i3 = m; | |
311 | for (ii = 1; ii <= i3; ii += 256) | |
312 | { | |
313 | /* Computing MIN */ | |
314 | i4 = 256; | |
315 | i5 = m - ii + 1; | |
316 | isec = min(i4,i5); | |
317 | uisec = isec - isec % 2; | |
318 | i4 = ll + ulsec - 1; | |
319 | for (l = ll; l <= i4; l += 2) | |
320 | { | |
321 | i5 = ii + uisec - 1; | |
322 | for (i = ii; i <= i5; i += 2) | |
323 | { | |
324 | t1[l - ll + 1 + ((i - ii + 1) << 8) - 257] = | |
325 | a[i + l * a_dim1]; | |
326 | t1[l - ll + 2 + ((i - ii + 1) << 8) - 257] = | |
327 | a[i + (l + 1) * a_dim1]; | |
328 | t1[l - ll + 1 + ((i - ii + 2) << 8) - 257] = | |
329 | a[i + 1 + l * a_dim1]; | |
330 | t1[l - ll + 2 + ((i - ii + 2) << 8) - 257] = | |
331 | a[i + 1 + (l + 1) * a_dim1]; | |
332 | } | |
333 | if (uisec < isec) | |
334 | { | |
335 | t1[l - ll + 1 + (isec << 8) - 257] = | |
336 | a[ii + isec - 1 + l * a_dim1]; | |
337 | t1[l - ll + 2 + (isec << 8) - 257] = | |
338 | a[ii + isec - 1 + (l + 1) * a_dim1]; | |
339 | } | |
340 | } | |
341 | if (ulsec < lsec) | |
342 | { | |
343 | i4 = ii + isec - 1; | |
344 | for (i = ii; i<= i4; ++i) | |
345 | { | |
346 | t1[lsec + ((i - ii + 1) << 8) - 257] = | |
347 | a[i + (ll + lsec - 1) * a_dim1]; | |
348 | } | |
349 | } | |
350 | ||
351 | uisec = isec - isec % 4; | |
352 | i4 = jj + ujsec - 1; | |
353 | for (j = jj; j <= i4; j += 4) | |
354 | { | |
355 | i5 = ii + uisec - 1; | |
356 | for (i = ii; i <= i5; i += 4) | |
357 | { | |
358 | f11 = c[i + j * c_dim1]; | |
359 | f21 = c[i + 1 + j * c_dim1]; | |
360 | f12 = c[i + (j + 1) * c_dim1]; | |
361 | f22 = c[i + 1 + (j + 1) * c_dim1]; | |
362 | f13 = c[i + (j + 2) * c_dim1]; | |
363 | f23 = c[i + 1 + (j + 2) * c_dim1]; | |
364 | f14 = c[i + (j + 3) * c_dim1]; | |
365 | f24 = c[i + 1 + (j + 3) * c_dim1]; | |
366 | f31 = c[i + 2 + j * c_dim1]; | |
367 | f41 = c[i + 3 + j * c_dim1]; | |
368 | f32 = c[i + 2 + (j + 1) * c_dim1]; | |
369 | f42 = c[i + 3 + (j + 1) * c_dim1]; | |
370 | f33 = c[i + 2 + (j + 2) * c_dim1]; | |
371 | f43 = c[i + 3 + (j + 2) * c_dim1]; | |
372 | f34 = c[i + 2 + (j + 3) * c_dim1]; | |
373 | f44 = c[i + 3 + (j + 3) * c_dim1]; | |
374 | i6 = ll + lsec - 1; | |
375 | for (l = ll; l <= i6; ++l) | |
376 | { | |
377 | f11 += t1[l - ll + 1 + ((i - ii + 1) << 8) - 257] | |
378 | * b[l + j * b_dim1]; | |
379 | f21 += t1[l - ll + 1 + ((i - ii + 2) << 8) - 257] | |
380 | * b[l + j * b_dim1]; | |
381 | f12 += t1[l - ll + 1 + ((i - ii + 1) << 8) - 257] | |
382 | * b[l + (j + 1) * b_dim1]; | |
383 | f22 += t1[l - ll + 1 + ((i - ii + 2) << 8) - 257] | |
384 | * b[l + (j + 1) * b_dim1]; | |
385 | f13 += t1[l - ll + 1 + ((i - ii + 1) << 8) - 257] | |
386 | * b[l + (j + 2) * b_dim1]; | |
387 | f23 += t1[l - ll + 1 + ((i - ii + 2) << 8) - 257] | |
388 | * b[l + (j + 2) * b_dim1]; | |
389 | f14 += t1[l - ll + 1 + ((i - ii + 1) << 8) - 257] | |
390 | * b[l + (j + 3) * b_dim1]; | |
391 | f24 += t1[l - ll + 1 + ((i - ii + 2) << 8) - 257] | |
392 | * b[l + (j + 3) * b_dim1]; | |
393 | f31 += t1[l - ll + 1 + ((i - ii + 3) << 8) - 257] | |
394 | * b[l + j * b_dim1]; | |
395 | f41 += t1[l - ll + 1 + ((i - ii + 4) << 8) - 257] | |
396 | * b[l + j * b_dim1]; | |
397 | f32 += t1[l - ll + 1 + ((i - ii + 3) << 8) - 257] | |
398 | * b[l + (j + 1) * b_dim1]; | |
399 | f42 += t1[l - ll + 1 + ((i - ii + 4) << 8) - 257] | |
400 | * b[l + (j + 1) * b_dim1]; | |
401 | f33 += t1[l - ll + 1 + ((i - ii + 3) << 8) - 257] | |
402 | * b[l + (j + 2) * b_dim1]; | |
403 | f43 += t1[l - ll + 1 + ((i - ii + 4) << 8) - 257] | |
404 | * b[l + (j + 2) * b_dim1]; | |
405 | f34 += t1[l - ll + 1 + ((i - ii + 3) << 8) - 257] | |
406 | * b[l + (j + 3) * b_dim1]; | |
407 | f44 += t1[l - ll + 1 + ((i - ii + 4) << 8) - 257] | |
408 | * b[l + (j + 3) * b_dim1]; | |
409 | } | |
410 | c[i + j * c_dim1] = f11; | |
411 | c[i + 1 + j * c_dim1] = f21; | |
412 | c[i + (j + 1) * c_dim1] = f12; | |
413 | c[i + 1 + (j + 1) * c_dim1] = f22; | |
414 | c[i + (j + 2) * c_dim1] = f13; | |
415 | c[i + 1 + (j + 2) * c_dim1] = f23; | |
416 | c[i + (j + 3) * c_dim1] = f14; | |
417 | c[i + 1 + (j + 3) * c_dim1] = f24; | |
418 | c[i + 2 + j * c_dim1] = f31; | |
419 | c[i + 3 + j * c_dim1] = f41; | |
420 | c[i + 2 + (j + 1) * c_dim1] = f32; | |
421 | c[i + 3 + (j + 1) * c_dim1] = f42; | |
422 | c[i + 2 + (j + 2) * c_dim1] = f33; | |
423 | c[i + 3 + (j + 2) * c_dim1] = f43; | |
424 | c[i + 2 + (j + 3) * c_dim1] = f34; | |
425 | c[i + 3 + (j + 3) * c_dim1] = f44; | |
426 | } | |
427 | if (uisec < isec) | |
428 | { | |
429 | i5 = ii + isec - 1; | |
430 | for (i = ii + uisec; i <= i5; ++i) | |
431 | { | |
432 | f11 = c[i + j * c_dim1]; | |
433 | f12 = c[i + (j + 1) * c_dim1]; | |
434 | f13 = c[i + (j + 2) * c_dim1]; | |
435 | f14 = c[i + (j + 3) * c_dim1]; | |
436 | i6 = ll + lsec - 1; | |
437 | for (l = ll; l <= i6; ++l) | |
438 | { | |
439 | f11 += t1[l - ll + 1 + ((i - ii + 1) << 8) - | |
440 | 257] * b[l + j * b_dim1]; | |
441 | f12 += t1[l - ll + 1 + ((i - ii + 1) << 8) - | |
442 | 257] * b[l + (j + 1) * b_dim1]; | |
443 | f13 += t1[l - ll + 1 + ((i - ii + 1) << 8) - | |
444 | 257] * b[l + (j + 2) * b_dim1]; | |
445 | f14 += t1[l - ll + 1 + ((i - ii + 1) << 8) - | |
446 | 257] * b[l + (j + 3) * b_dim1]; | |
447 | } | |
448 | c[i + j * c_dim1] = f11; | |
449 | c[i + (j + 1) * c_dim1] = f12; | |
450 | c[i + (j + 2) * c_dim1] = f13; | |
451 | c[i + (j + 3) * c_dim1] = f14; | |
452 | } | |
453 | } | |
454 | } | |
455 | if (ujsec < jsec) | |
456 | { | |
457 | i4 = jj + jsec - 1; | |
458 | for (j = jj + ujsec; j <= i4; ++j) | |
459 | { | |
460 | i5 = ii + uisec - 1; | |
461 | for (i = ii; i <= i5; i += 4) | |
462 | { | |
463 | f11 = c[i + j * c_dim1]; | |
464 | f21 = c[i + 1 + j * c_dim1]; | |
465 | f31 = c[i + 2 + j * c_dim1]; | |
466 | f41 = c[i + 3 + j * c_dim1]; | |
467 | i6 = ll + lsec - 1; | |
468 | for (l = ll; l <= i6; ++l) | |
469 | { | |
470 | f11 += t1[l - ll + 1 + ((i - ii + 1) << 8) - | |
471 | 257] * b[l + j * b_dim1]; | |
472 | f21 += t1[l - ll + 1 + ((i - ii + 2) << 8) - | |
473 | 257] * b[l + j * b_dim1]; | |
474 | f31 += t1[l - ll + 1 + ((i - ii + 3) << 8) - | |
475 | 257] * b[l + j * b_dim1]; | |
476 | f41 += t1[l - ll + 1 + ((i - ii + 4) << 8) - | |
477 | 257] * b[l + j * b_dim1]; | |
478 | } | |
479 | c[i + j * c_dim1] = f11; | |
480 | c[i + 1 + j * c_dim1] = f21; | |
481 | c[i + 2 + j * c_dim1] = f31; | |
482 | c[i + 3 + j * c_dim1] = f41; | |
483 | } | |
484 | i5 = ii + isec - 1; | |
485 | for (i = ii + uisec; i <= i5; ++i) | |
486 | { | |
487 | f11 = c[i + j * c_dim1]; | |
488 | i6 = ll + lsec - 1; | |
489 | for (l = ll; l <= i6; ++l) | |
490 | { | |
491 | f11 += t1[l - ll + 1 + ((i - ii + 1) << 8) - | |
492 | 257] * b[l + j * b_dim1]; | |
493 | } | |
494 | c[i + j * c_dim1] = f11; | |
495 | } | |
496 | } | |
497 | } | |
498 | } | |
499 | } | |
500 | } | |
501 | free(t1); | |
502 | return; | |
503 | } | |
504 | else if (rxstride == 1 && aystride == 1 && bxstride == 1) | |
505 | { | |
506 | if (GFC_DESCRIPTOR_RANK (a) != 1) | |
507 | { | |
508 | const GFC_COMPLEX_16 *restrict abase_x; | |
509 | const GFC_COMPLEX_16 *restrict bbase_y; | |
510 | GFC_COMPLEX_16 *restrict dest_y; | |
511 | GFC_COMPLEX_16 s; | |
512 | ||
513 | for (y = 0; y < ycount; y++) | |
514 | { | |
515 | bbase_y = &bbase[y*bystride]; | |
516 | dest_y = &dest[y*rystride]; | |
517 | for (x = 0; x < xcount; x++) | |
518 | { | |
519 | abase_x = &abase[x*axstride]; | |
520 | s = (GFC_COMPLEX_16) 0; | |
521 | for (n = 0; n < count; n++) | |
522 | s += abase_x[n] * bbase_y[n]; | |
523 | dest_y[x] = s; | |
524 | } | |
525 | } | |
526 | } | |
527 | else | |
528 | { | |
529 | const GFC_COMPLEX_16 *restrict bbase_y; | |
530 | GFC_COMPLEX_16 s; | |
531 | ||
532 | for (y = 0; y < ycount; y++) | |
533 | { | |
534 | bbase_y = &bbase[y*bystride]; | |
535 | s = (GFC_COMPLEX_16) 0; | |
536 | for (n = 0; n < count; n++) | |
537 | s += abase[n*axstride] * bbase_y[n]; | |
538 | dest[y*rystride] = s; | |
539 | } | |
540 | } | |
541 | } | |
542 | else if (axstride < aystride) | |
543 | { | |
544 | for (y = 0; y < ycount; y++) | |
545 | for (x = 0; x < xcount; x++) | |
546 | dest[x*rxstride + y*rystride] = (GFC_COMPLEX_16)0; | |
547 | ||
548 | for (y = 0; y < ycount; y++) | |
549 | for (n = 0; n < count; n++) | |
550 | for (x = 0; x < xcount; x++) | |
551 | /* dest[x,y] += a[x,n] * b[n,y] */ | |
552 | dest[x*rxstride + y*rystride] += | |
553 | abase[x*axstride + n*aystride] * | |
554 | bbase[n*bxstride + y*bystride]; | |
555 | } | |
556 | else if (GFC_DESCRIPTOR_RANK (a) == 1) | |
557 | { | |
558 | const GFC_COMPLEX_16 *restrict bbase_y; | |
559 | GFC_COMPLEX_16 s; | |
560 | ||
561 | for (y = 0; y < ycount; y++) | |
562 | { | |
563 | bbase_y = &bbase[y*bystride]; | |
564 | s = (GFC_COMPLEX_16) 0; | |
565 | for (n = 0; n < count; n++) | |
566 | s += abase[n*axstride] * bbase_y[n*bxstride]; | |
567 | dest[y*rxstride] = s; | |
568 | } | |
569 | } | |
570 | else | |
571 | { | |
572 | const GFC_COMPLEX_16 *restrict abase_x; | |
573 | const GFC_COMPLEX_16 *restrict bbase_y; | |
574 | GFC_COMPLEX_16 *restrict dest_y; | |
575 | GFC_COMPLEX_16 s; | |
576 | ||
577 | for (y = 0; y < ycount; y++) | |
578 | { | |
579 | bbase_y = &bbase[y*bystride]; | |
580 | dest_y = &dest[y*rystride]; | |
581 | for (x = 0; x < xcount; x++) | |
582 | { | |
583 | abase_x = &abase[x*axstride]; | |
584 | s = (GFC_COMPLEX_16) 0; | |
585 | for (n = 0; n < count; n++) | |
586 | s += abase_x[n*aystride] * bbase_y[n*bxstride]; | |
587 | dest_y[x*rxstride] = s; | |
588 | } | |
589 | } | |
590 | } | |
591 | } | |
592 | #undef POW3 | |
593 | #undef min | |
594 | #undef max | |
595 | ||
596 | #endif | |
597 | ||
598 | #if defined(HAVE_AVX) && defined(HAVE_FMA4) && defined(HAVE_AVX128) | |
599 | void | |
600 | matmul_c16_avx128_fma4 (gfc_array_c16 * const restrict retarray, | |
601 | gfc_array_c16 * const restrict a, gfc_array_c16 * const restrict b, int try_blas, | |
602 | int blas_limit, blas_call gemm) __attribute__((__target__("avx,fma4"))); | |
603 | internal_proto(matmul_c16_avx128_fma4); | |
604 | void | |
605 | matmul_c16_avx128_fma4 (gfc_array_c16 * const restrict retarray, | |
606 | gfc_array_c16 * const restrict a, gfc_array_c16 * const restrict b, int try_blas, | |
607 | int blas_limit, blas_call gemm) | |
608 | { | |
609 | const GFC_COMPLEX_16 * restrict abase; | |
610 | const GFC_COMPLEX_16 * restrict bbase; | |
611 | GFC_COMPLEX_16 * restrict dest; | |
612 | ||
613 | index_type rxstride, rystride, axstride, aystride, bxstride, bystride; | |
614 | index_type x, y, n, count, xcount, ycount; | |
615 | ||
616 | assert (GFC_DESCRIPTOR_RANK (a) == 2 | |
617 | || GFC_DESCRIPTOR_RANK (b) == 2); | |
618 | ||
619 | /* C[xcount,ycount] = A[xcount, count] * B[count,ycount] | |
620 | ||
621 | Either A or B (but not both) can be rank 1: | |
622 | ||
623 | o One-dimensional argument A is implicitly treated as a row matrix | |
624 | dimensioned [1,count], so xcount=1. | |
625 | ||
626 | o One-dimensional argument B is implicitly treated as a column matrix | |
627 | dimensioned [count, 1], so ycount=1. | |
628 | */ | |
629 | ||
630 | if (retarray->base_addr == NULL) | |
631 | { | |
632 | if (GFC_DESCRIPTOR_RANK (a) == 1) | |
633 | { | |
634 | GFC_DIMENSION_SET(retarray->dim[0], 0, | |
635 | GFC_DESCRIPTOR_EXTENT(b,1) - 1, 1); | |
636 | } | |
637 | else if (GFC_DESCRIPTOR_RANK (b) == 1) | |
638 | { | |
639 | GFC_DIMENSION_SET(retarray->dim[0], 0, | |
640 | GFC_DESCRIPTOR_EXTENT(a,0) - 1, 1); | |
641 | } | |
642 | else | |
643 | { | |
644 | GFC_DIMENSION_SET(retarray->dim[0], 0, | |
645 | GFC_DESCRIPTOR_EXTENT(a,0) - 1, 1); | |
646 | ||
647 | GFC_DIMENSION_SET(retarray->dim[1], 0, | |
648 | GFC_DESCRIPTOR_EXTENT(b,1) - 1, | |
649 | GFC_DESCRIPTOR_EXTENT(retarray,0)); | |
650 | } | |
651 | ||
652 | retarray->base_addr | |
653 | = xmallocarray (size0 ((array_t *) retarray), sizeof (GFC_COMPLEX_16)); | |
654 | retarray->offset = 0; | |
655 | } | |
656 | else if (unlikely (compile_options.bounds_check)) | |
657 | { | |
658 | index_type ret_extent, arg_extent; | |
659 | ||
660 | if (GFC_DESCRIPTOR_RANK (a) == 1) | |
661 | { | |
662 | arg_extent = GFC_DESCRIPTOR_EXTENT(b,1); | |
663 | ret_extent = GFC_DESCRIPTOR_EXTENT(retarray,0); | |
664 | if (arg_extent != ret_extent) | |
665 | runtime_error ("Incorrect extent in return array in" | |
666 | " MATMUL intrinsic: is %ld, should be %ld", | |
667 | (long int) ret_extent, (long int) arg_extent); | |
668 | } | |
669 | else if (GFC_DESCRIPTOR_RANK (b) == 1) | |
670 | { | |
671 | arg_extent = GFC_DESCRIPTOR_EXTENT(a,0); | |
672 | ret_extent = GFC_DESCRIPTOR_EXTENT(retarray,0); | |
673 | if (arg_extent != ret_extent) | |
674 | runtime_error ("Incorrect extent in return array in" | |
675 | " MATMUL intrinsic: is %ld, should be %ld", | |
676 | (long int) ret_extent, (long int) arg_extent); | |
677 | } | |
678 | else | |
679 | { | |
680 | arg_extent = GFC_DESCRIPTOR_EXTENT(a,0); | |
681 | ret_extent = GFC_DESCRIPTOR_EXTENT(retarray,0); | |
682 | if (arg_extent != ret_extent) | |
683 | runtime_error ("Incorrect extent in return array in" | |
684 | " MATMUL intrinsic for dimension 1:" | |
685 | " is %ld, should be %ld", | |
686 | (long int) ret_extent, (long int) arg_extent); | |
687 | ||
688 | arg_extent = GFC_DESCRIPTOR_EXTENT(b,1); | |
689 | ret_extent = GFC_DESCRIPTOR_EXTENT(retarray,1); | |
690 | if (arg_extent != ret_extent) | |
691 | runtime_error ("Incorrect extent in return array in" | |
692 | " MATMUL intrinsic for dimension 2:" | |
693 | " is %ld, should be %ld", | |
694 | (long int) ret_extent, (long int) arg_extent); | |
695 | } | |
696 | } | |
697 | ||
698 | ||
699 | if (GFC_DESCRIPTOR_RANK (retarray) == 1) | |
700 | { | |
701 | /* One-dimensional result may be addressed in the code below | |
702 | either as a row or a column matrix. We want both cases to | |
703 | work. */ | |
704 | rxstride = rystride = GFC_DESCRIPTOR_STRIDE(retarray,0); | |
705 | } | |
706 | else | |
707 | { | |
708 | rxstride = GFC_DESCRIPTOR_STRIDE(retarray,0); | |
709 | rystride = GFC_DESCRIPTOR_STRIDE(retarray,1); | |
710 | } | |
711 | ||
712 | ||
713 | if (GFC_DESCRIPTOR_RANK (a) == 1) | |
714 | { | |
715 | /* Treat it as a a row matrix A[1,count]. */ | |
716 | axstride = GFC_DESCRIPTOR_STRIDE(a,0); | |
717 | aystride = 1; | |
718 | ||
719 | xcount = 1; | |
720 | count = GFC_DESCRIPTOR_EXTENT(a,0); | |
721 | } | |
722 | else | |
723 | { | |
724 | axstride = GFC_DESCRIPTOR_STRIDE(a,0); | |
725 | aystride = GFC_DESCRIPTOR_STRIDE(a,1); | |
726 | ||
727 | count = GFC_DESCRIPTOR_EXTENT(a,1); | |
728 | xcount = GFC_DESCRIPTOR_EXTENT(a,0); | |
729 | } | |
730 | ||
731 | if (count != GFC_DESCRIPTOR_EXTENT(b,0)) | |
732 | { | |
733 | if (count > 0 || GFC_DESCRIPTOR_EXTENT(b,0) > 0) | |
734 | runtime_error ("dimension of array B incorrect in MATMUL intrinsic"); | |
735 | } | |
736 | ||
737 | if (GFC_DESCRIPTOR_RANK (b) == 1) | |
738 | { | |
739 | /* Treat it as a column matrix B[count,1] */ | |
740 | bxstride = GFC_DESCRIPTOR_STRIDE(b,0); | |
741 | ||
742 | /* bystride should never be used for 1-dimensional b. | |
743 | The value is only used for calculation of the | |
744 | memory by the buffer. */ | |
745 | bystride = 256; | |
746 | ycount = 1; | |
747 | } | |
748 | else | |
749 | { | |
750 | bxstride = GFC_DESCRIPTOR_STRIDE(b,0); | |
751 | bystride = GFC_DESCRIPTOR_STRIDE(b,1); | |
752 | ycount = GFC_DESCRIPTOR_EXTENT(b,1); | |
753 | } | |
754 | ||
755 | abase = a->base_addr; | |
756 | bbase = b->base_addr; | |
757 | dest = retarray->base_addr; | |
758 | ||
759 | /* Now that everything is set up, we perform the multiplication | |
760 | itself. */ | |
761 | ||
762 | #define POW3(x) (((float) (x)) * ((float) (x)) * ((float) (x))) | |
763 | #define min(a,b) ((a) <= (b) ? (a) : (b)) | |
764 | #define max(a,b) ((a) >= (b) ? (a) : (b)) | |
765 | ||
766 | if (try_blas && rxstride == 1 && (axstride == 1 || aystride == 1) | |
767 | && (bxstride == 1 || bystride == 1) | |
768 | && (((float) xcount) * ((float) ycount) * ((float) count) | |
769 | > POW3(blas_limit))) | |
770 | { | |
771 | const int m = xcount, n = ycount, k = count, ldc = rystride; | |
772 | const GFC_COMPLEX_16 one = 1, zero = 0; | |
773 | const int lda = (axstride == 1) ? aystride : axstride, | |
774 | ldb = (bxstride == 1) ? bystride : bxstride; | |
775 | ||
776 | if (lda > 0 && ldb > 0 && ldc > 0 && m > 1 && n > 1 && k > 1) | |
777 | { | |
778 | assert (gemm != NULL); | |
779 | gemm (axstride == 1 ? "N" : "T", bxstride == 1 ? "N" : "T", &m, | |
780 | &n, &k, &one, abase, &lda, bbase, &ldb, &zero, dest, | |
781 | &ldc, 1, 1); | |
782 | return; | |
783 | } | |
784 | } | |
785 | ||
786 | if (rxstride == 1 && axstride == 1 && bxstride == 1) | |
787 | { | |
788 | /* This block of code implements a tuned matmul, derived from | |
789 | Superscalar GEMM-based level 3 BLAS, Beta version 0.1 | |
790 | ||
791 | Bo Kagstrom and Per Ling | |
792 | Department of Computing Science | |
793 | Umea University | |
794 | S-901 87 Umea, Sweden | |
795 | ||
796 | from netlib.org, translated to C, and modified for matmul.m4. */ | |
797 | ||
798 | const GFC_COMPLEX_16 *a, *b; | |
799 | GFC_COMPLEX_16 *c; | |
800 | const index_type m = xcount, n = ycount, k = count; | |
801 | ||
802 | /* System generated locals */ | |
803 | index_type a_dim1, a_offset, b_dim1, b_offset, c_dim1, c_offset, | |
804 | i1, i2, i3, i4, i5, i6; | |
805 | ||
806 | /* Local variables */ | |
807 | GFC_COMPLEX_16 f11, f12, f21, f22, f31, f32, f41, f42, | |
808 | f13, f14, f23, f24, f33, f34, f43, f44; | |
809 | index_type i, j, l, ii, jj, ll; | |
810 | index_type isec, jsec, lsec, uisec, ujsec, ulsec; | |
811 | GFC_COMPLEX_16 *t1; | |
812 | ||
813 | a = abase; | |
814 | b = bbase; | |
815 | c = retarray->base_addr; | |
816 | ||
817 | /* Parameter adjustments */ | |
818 | c_dim1 = rystride; | |
819 | c_offset = 1 + c_dim1; | |
820 | c -= c_offset; | |
821 | a_dim1 = aystride; | |
822 | a_offset = 1 + a_dim1; | |
823 | a -= a_offset; | |
824 | b_dim1 = bystride; | |
825 | b_offset = 1 + b_dim1; | |
826 | b -= b_offset; | |
827 | ||
828 | /* Early exit if possible */ | |
829 | if (m == 0 || n == 0 || k == 0) | |
830 | return; | |
831 | ||
832 | /* Adjust size of t1 to what is needed. */ | |
833 | index_type t1_dim; | |
834 | t1_dim = (a_dim1-1) * 256 + b_dim1; | |
835 | if (t1_dim > 65536) | |
836 | t1_dim = 65536; | |
837 | ||
838 | t1 = malloc (t1_dim * sizeof(GFC_COMPLEX_16)); | |
839 | ||
840 | /* Empty c first. */ | |
841 | for (j=1; j<=n; j++) | |
842 | for (i=1; i<=m; i++) | |
843 | c[i + j * c_dim1] = (GFC_COMPLEX_16)0; | |
844 | ||
845 | /* Start turning the crank. */ | |
846 | i1 = n; | |
847 | for (jj = 1; jj <= i1; jj += 512) | |
848 | { | |
849 | /* Computing MIN */ | |
850 | i2 = 512; | |
851 | i3 = n - jj + 1; | |
852 | jsec = min(i2,i3); | |
853 | ujsec = jsec - jsec % 4; | |
854 | i2 = k; | |
855 | for (ll = 1; ll <= i2; ll += 256) | |
856 | { | |
857 | /* Computing MIN */ | |
858 | i3 = 256; | |
859 | i4 = k - ll + 1; | |
860 | lsec = min(i3,i4); | |
861 | ulsec = lsec - lsec % 2; | |
862 | ||
863 | i3 = m; | |
864 | for (ii = 1; ii <= i3; ii += 256) | |
865 | { | |
866 | /* Computing MIN */ | |
867 | i4 = 256; | |
868 | i5 = m - ii + 1; | |
869 | isec = min(i4,i5); | |
870 | uisec = isec - isec % 2; | |
871 | i4 = ll + ulsec - 1; | |
872 | for (l = ll; l <= i4; l += 2) | |
873 | { | |
874 | i5 = ii + uisec - 1; | |
875 | for (i = ii; i <= i5; i += 2) | |
876 | { | |
877 | t1[l - ll + 1 + ((i - ii + 1) << 8) - 257] = | |
878 | a[i + l * a_dim1]; | |
879 | t1[l - ll + 2 + ((i - ii + 1) << 8) - 257] = | |
880 | a[i + (l + 1) * a_dim1]; | |
881 | t1[l - ll + 1 + ((i - ii + 2) << 8) - 257] = | |
882 | a[i + 1 + l * a_dim1]; | |
883 | t1[l - ll + 2 + ((i - ii + 2) << 8) - 257] = | |
884 | a[i + 1 + (l + 1) * a_dim1]; | |
885 | } | |
886 | if (uisec < isec) | |
887 | { | |
888 | t1[l - ll + 1 + (isec << 8) - 257] = | |
889 | a[ii + isec - 1 + l * a_dim1]; | |
890 | t1[l - ll + 2 + (isec << 8) - 257] = | |
891 | a[ii + isec - 1 + (l + 1) * a_dim1]; | |
892 | } | |
893 | } | |
894 | if (ulsec < lsec) | |
895 | { | |
896 | i4 = ii + isec - 1; | |
897 | for (i = ii; i<= i4; ++i) | |
898 | { | |
899 | t1[lsec + ((i - ii + 1) << 8) - 257] = | |
900 | a[i + (ll + lsec - 1) * a_dim1]; | |
901 | } | |
902 | } | |
903 | ||
904 | uisec = isec - isec % 4; | |
905 | i4 = jj + ujsec - 1; | |
906 | for (j = jj; j <= i4; j += 4) | |
907 | { | |
908 | i5 = ii + uisec - 1; | |
909 | for (i = ii; i <= i5; i += 4) | |
910 | { | |
911 | f11 = c[i + j * c_dim1]; | |
912 | f21 = c[i + 1 + j * c_dim1]; | |
913 | f12 = c[i + (j + 1) * c_dim1]; | |
914 | f22 = c[i + 1 + (j + 1) * c_dim1]; | |
915 | f13 = c[i + (j + 2) * c_dim1]; | |
916 | f23 = c[i + 1 + (j + 2) * c_dim1]; | |
917 | f14 = c[i + (j + 3) * c_dim1]; | |
918 | f24 = c[i + 1 + (j + 3) * c_dim1]; | |
919 | f31 = c[i + 2 + j * c_dim1]; | |
920 | f41 = c[i + 3 + j * c_dim1]; | |
921 | f32 = c[i + 2 + (j + 1) * c_dim1]; | |
922 | f42 = c[i + 3 + (j + 1) * c_dim1]; | |
923 | f33 = c[i + 2 + (j + 2) * c_dim1]; | |
924 | f43 = c[i + 3 + (j + 2) * c_dim1]; | |
925 | f34 = c[i + 2 + (j + 3) * c_dim1]; | |
926 | f44 = c[i + 3 + (j + 3) * c_dim1]; | |
927 | i6 = ll + lsec - 1; | |
928 | for (l = ll; l <= i6; ++l) | |
929 | { | |
930 | f11 += t1[l - ll + 1 + ((i - ii + 1) << 8) - 257] | |
931 | * b[l + j * b_dim1]; | |
932 | f21 += t1[l - ll + 1 + ((i - ii + 2) << 8) - 257] | |
933 | * b[l + j * b_dim1]; | |
934 | f12 += t1[l - ll + 1 + ((i - ii + 1) << 8) - 257] | |
935 | * b[l + (j + 1) * b_dim1]; | |
936 | f22 += t1[l - ll + 1 + ((i - ii + 2) << 8) - 257] | |
937 | * b[l + (j + 1) * b_dim1]; | |
938 | f13 += t1[l - ll + 1 + ((i - ii + 1) << 8) - 257] | |
939 | * b[l + (j + 2) * b_dim1]; | |
940 | f23 += t1[l - ll + 1 + ((i - ii + 2) << 8) - 257] | |
941 | * b[l + (j + 2) * b_dim1]; | |
942 | f14 += t1[l - ll + 1 + ((i - ii + 1) << 8) - 257] | |
943 | * b[l + (j + 3) * b_dim1]; | |
944 | f24 += t1[l - ll + 1 + ((i - ii + 2) << 8) - 257] | |
945 | * b[l + (j + 3) * b_dim1]; | |
946 | f31 += t1[l - ll + 1 + ((i - ii + 3) << 8) - 257] | |
947 | * b[l + j * b_dim1]; | |
948 | f41 += t1[l - ll + 1 + ((i - ii + 4) << 8) - 257] | |
949 | * b[l + j * b_dim1]; | |
950 | f32 += t1[l - ll + 1 + ((i - ii + 3) << 8) - 257] | |
951 | * b[l + (j + 1) * b_dim1]; | |
952 | f42 += t1[l - ll + 1 + ((i - ii + 4) << 8) - 257] | |
953 | * b[l + (j + 1) * b_dim1]; | |
954 | f33 += t1[l - ll + 1 + ((i - ii + 3) << 8) - 257] | |
955 | * b[l + (j + 2) * b_dim1]; | |
956 | f43 += t1[l - ll + 1 + ((i - ii + 4) << 8) - 257] | |
957 | * b[l + (j + 2) * b_dim1]; | |
958 | f34 += t1[l - ll + 1 + ((i - ii + 3) << 8) - 257] | |
959 | * b[l + (j + 3) * b_dim1]; | |
960 | f44 += t1[l - ll + 1 + ((i - ii + 4) << 8) - 257] | |
961 | * b[l + (j + 3) * b_dim1]; | |
962 | } | |
963 | c[i + j * c_dim1] = f11; | |
964 | c[i + 1 + j * c_dim1] = f21; | |
965 | c[i + (j + 1) * c_dim1] = f12; | |
966 | c[i + 1 + (j + 1) * c_dim1] = f22; | |
967 | c[i + (j + 2) * c_dim1] = f13; | |
968 | c[i + 1 + (j + 2) * c_dim1] = f23; | |
969 | c[i + (j + 3) * c_dim1] = f14; | |
970 | c[i + 1 + (j + 3) * c_dim1] = f24; | |
971 | c[i + 2 + j * c_dim1] = f31; | |
972 | c[i + 3 + j * c_dim1] = f41; | |
973 | c[i + 2 + (j + 1) * c_dim1] = f32; | |
974 | c[i + 3 + (j + 1) * c_dim1] = f42; | |
975 | c[i + 2 + (j + 2) * c_dim1] = f33; | |
976 | c[i + 3 + (j + 2) * c_dim1] = f43; | |
977 | c[i + 2 + (j + 3) * c_dim1] = f34; | |
978 | c[i + 3 + (j + 3) * c_dim1] = f44; | |
979 | } | |
980 | if (uisec < isec) | |
981 | { | |
982 | i5 = ii + isec - 1; | |
983 | for (i = ii + uisec; i <= i5; ++i) | |
984 | { | |
985 | f11 = c[i + j * c_dim1]; | |
986 | f12 = c[i + (j + 1) * c_dim1]; | |
987 | f13 = c[i + (j + 2) * c_dim1]; | |
988 | f14 = c[i + (j + 3) * c_dim1]; | |
989 | i6 = ll + lsec - 1; | |
990 | for (l = ll; l <= i6; ++l) | |
991 | { | |
992 | f11 += t1[l - ll + 1 + ((i - ii + 1) << 8) - | |
993 | 257] * b[l + j * b_dim1]; | |
994 | f12 += t1[l - ll + 1 + ((i - ii + 1) << 8) - | |
995 | 257] * b[l + (j + 1) * b_dim1]; | |
996 | f13 += t1[l - ll + 1 + ((i - ii + 1) << 8) - | |
997 | 257] * b[l + (j + 2) * b_dim1]; | |
998 | f14 += t1[l - ll + 1 + ((i - ii + 1) << 8) - | |
999 | 257] * b[l + (j + 3) * b_dim1]; | |
1000 | } | |
1001 | c[i + j * c_dim1] = f11; | |
1002 | c[i + (j + 1) * c_dim1] = f12; | |
1003 | c[i + (j + 2) * c_dim1] = f13; | |
1004 | c[i + (j + 3) * c_dim1] = f14; | |
1005 | } | |
1006 | } | |
1007 | } | |
1008 | if (ujsec < jsec) | |
1009 | { | |
1010 | i4 = jj + jsec - 1; | |
1011 | for (j = jj + ujsec; j <= i4; ++j) | |
1012 | { | |
1013 | i5 = ii + uisec - 1; | |
1014 | for (i = ii; i <= i5; i += 4) | |
1015 | { | |
1016 | f11 = c[i + j * c_dim1]; | |
1017 | f21 = c[i + 1 + j * c_dim1]; | |
1018 | f31 = c[i + 2 + j * c_dim1]; | |
1019 | f41 = c[i + 3 + j * c_dim1]; | |
1020 | i6 = ll + lsec - 1; | |
1021 | for (l = ll; l <= i6; ++l) | |
1022 | { | |
1023 | f11 += t1[l - ll + 1 + ((i - ii + 1) << 8) - | |
1024 | 257] * b[l + j * b_dim1]; | |
1025 | f21 += t1[l - ll + 1 + ((i - ii + 2) << 8) - | |
1026 | 257] * b[l + j * b_dim1]; | |
1027 | f31 += t1[l - ll + 1 + ((i - ii + 3) << 8) - | |
1028 | 257] * b[l + j * b_dim1]; | |
1029 | f41 += t1[l - ll + 1 + ((i - ii + 4) << 8) - | |
1030 | 257] * b[l + j * b_dim1]; | |
1031 | } | |
1032 | c[i + j * c_dim1] = f11; | |
1033 | c[i + 1 + j * c_dim1] = f21; | |
1034 | c[i + 2 + j * c_dim1] = f31; | |
1035 | c[i + 3 + j * c_dim1] = f41; | |
1036 | } | |
1037 | i5 = ii + isec - 1; | |
1038 | for (i = ii + uisec; i <= i5; ++i) | |
1039 | { | |
1040 | f11 = c[i + j * c_dim1]; | |
1041 | i6 = ll + lsec - 1; | |
1042 | for (l = ll; l <= i6; ++l) | |
1043 | { | |
1044 | f11 += t1[l - ll + 1 + ((i - ii + 1) << 8) - | |
1045 | 257] * b[l + j * b_dim1]; | |
1046 | } | |
1047 | c[i + j * c_dim1] = f11; | |
1048 | } | |
1049 | } | |
1050 | } | |
1051 | } | |
1052 | } | |
1053 | } | |
1054 | free(t1); | |
1055 | return; | |
1056 | } | |
1057 | else if (rxstride == 1 && aystride == 1 && bxstride == 1) | |
1058 | { | |
1059 | if (GFC_DESCRIPTOR_RANK (a) != 1) | |
1060 | { | |
1061 | const GFC_COMPLEX_16 *restrict abase_x; | |
1062 | const GFC_COMPLEX_16 *restrict bbase_y; | |
1063 | GFC_COMPLEX_16 *restrict dest_y; | |
1064 | GFC_COMPLEX_16 s; | |
1065 | ||
1066 | for (y = 0; y < ycount; y++) | |
1067 | { | |
1068 | bbase_y = &bbase[y*bystride]; | |
1069 | dest_y = &dest[y*rystride]; | |
1070 | for (x = 0; x < xcount; x++) | |
1071 | { | |
1072 | abase_x = &abase[x*axstride]; | |
1073 | s = (GFC_COMPLEX_16) 0; | |
1074 | for (n = 0; n < count; n++) | |
1075 | s += abase_x[n] * bbase_y[n]; | |
1076 | dest_y[x] = s; | |
1077 | } | |
1078 | } | |
1079 | } | |
1080 | else | |
1081 | { | |
1082 | const GFC_COMPLEX_16 *restrict bbase_y; | |
1083 | GFC_COMPLEX_16 s; | |
1084 | ||
1085 | for (y = 0; y < ycount; y++) | |
1086 | { | |
1087 | bbase_y = &bbase[y*bystride]; | |
1088 | s = (GFC_COMPLEX_16) 0; | |
1089 | for (n = 0; n < count; n++) | |
1090 | s += abase[n*axstride] * bbase_y[n]; | |
1091 | dest[y*rystride] = s; | |
1092 | } | |
1093 | } | |
1094 | } | |
1095 | else if (axstride < aystride) | |
1096 | { | |
1097 | for (y = 0; y < ycount; y++) | |
1098 | for (x = 0; x < xcount; x++) | |
1099 | dest[x*rxstride + y*rystride] = (GFC_COMPLEX_16)0; | |
1100 | ||
1101 | for (y = 0; y < ycount; y++) | |
1102 | for (n = 0; n < count; n++) | |
1103 | for (x = 0; x < xcount; x++) | |
1104 | /* dest[x,y] += a[x,n] * b[n,y] */ | |
1105 | dest[x*rxstride + y*rystride] += | |
1106 | abase[x*axstride + n*aystride] * | |
1107 | bbase[n*bxstride + y*bystride]; | |
1108 | } | |
1109 | else if (GFC_DESCRIPTOR_RANK (a) == 1) | |
1110 | { | |
1111 | const GFC_COMPLEX_16 *restrict bbase_y; | |
1112 | GFC_COMPLEX_16 s; | |
1113 | ||
1114 | for (y = 0; y < ycount; y++) | |
1115 | { | |
1116 | bbase_y = &bbase[y*bystride]; | |
1117 | s = (GFC_COMPLEX_16) 0; | |
1118 | for (n = 0; n < count; n++) | |
1119 | s += abase[n*axstride] * bbase_y[n*bxstride]; | |
1120 | dest[y*rxstride] = s; | |
1121 | } | |
1122 | } | |
1123 | else | |
1124 | { | |
1125 | const GFC_COMPLEX_16 *restrict abase_x; | |
1126 | const GFC_COMPLEX_16 *restrict bbase_y; | |
1127 | GFC_COMPLEX_16 *restrict dest_y; | |
1128 | GFC_COMPLEX_16 s; | |
1129 | ||
1130 | for (y = 0; y < ycount; y++) | |
1131 | { | |
1132 | bbase_y = &bbase[y*bystride]; | |
1133 | dest_y = &dest[y*rystride]; | |
1134 | for (x = 0; x < xcount; x++) | |
1135 | { | |
1136 | abase_x = &abase[x*axstride]; | |
1137 | s = (GFC_COMPLEX_16) 0; | |
1138 | for (n = 0; n < count; n++) | |
1139 | s += abase_x[n*aystride] * bbase_y[n*bxstride]; | |
1140 | dest_y[x*rxstride] = s; | |
1141 | } | |
1142 | } | |
1143 | } | |
1144 | } | |
1145 | #undef POW3 | |
1146 | #undef min | |
1147 | #undef max | |
1148 | ||
1149 | #endif | |
1150 | ||
1151 | #endif | |
1152 |