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/*********************************************************************/
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/* Copyright 2009, 2010 The University of Texas at Austin. */
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/* All rights reserved. */
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/* */
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/* Redistribution and use in source and binary forms, with or */
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/* without modification, are permitted provided that the following */
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/* conditions are met: */
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/* */
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/* 1. Redistributions of source code must retain the above */
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/* copyright notice, this list of conditions and the following */
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/* disclaimer. */
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/* */
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/* 2. Redistributions in binary form must reproduce the above */
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/* copyright notice, this list of conditions and the following */
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/* disclaimer in the documentation and/or other materials */
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/* provided with the distribution. */
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/* */
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/* THIS SOFTWARE IS PROVIDED BY THE UNIVERSITY OF TEXAS AT */
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/* AUSTIN ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, */
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/* INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF */
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/* MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE */
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/* DISCLAIMED. IN NO EVENT SHALL THE UNIVERSITY OF TEXAS AT */
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/* AUSTIN OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, */
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/* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES */
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/* (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE */
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/* GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR */
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/* BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF */
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/* LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT */
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/* (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT */
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/* OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE */
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/* POSSIBILITY OF SUCH DAMAGE. */
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/* */
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/* The views and conclusions contained in the software and */
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/* documentation are those of the authors and should not be */
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/* interpreted as representing official policies, either expressed */
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/* or implied, of The University of Texas at Austin. */
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/*********************************************************************/
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#include "common.h"
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static FLOAT dm1 = -1.;
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#ifdef CONJ
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#define GEMM_KERNEL GEMM_KERNEL_R
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#else
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#define GEMM_KERNEL GEMM_KERNEL_N
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#endif
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#if GEMM_DEFAULT_UNROLL_M == 1
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#define GEMM_UNROLL_M_SHIFT 0
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#endif
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#if GEMM_DEFAULT_UNROLL_M == 2
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#define GEMM_UNROLL_M_SHIFT 1
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#endif
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#if GEMM_DEFAULT_UNROLL_M == 4
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#define GEMM_UNROLL_M_SHIFT 2
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#endif
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#if GEMM_DEFAULT_UNROLL_M == 8
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#define GEMM_UNROLL_M_SHIFT 3
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#endif
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#if GEMM_DEFAULT_UNROLL_M == 16
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#define GEMM_UNROLL_M_SHIFT 4
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#endif
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#if GEMM_DEFAULT_UNROLL_N == 1
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#define GEMM_UNROLL_N_SHIFT 0
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#endif
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#if GEMM_DEFAULT_UNROLL_N == 2
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#define GEMM_UNROLL_N_SHIFT 1
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#endif
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#if GEMM_DEFAULT_UNROLL_N == 4
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#define GEMM_UNROLL_N_SHIFT 2
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#endif
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kusano |
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#if GEMM_DEFAULT_UNROLL_N == 8
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#define GEMM_UNROLL_N_SHIFT 3
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#endif
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#if GEMM_DEFAULT_UNROLL_N == 16
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#define GEMM_UNROLL_N_SHIFT 4
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#endif
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#ifndef COMPLEX
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static inline void solve(BLASLONG m, BLASLONG n, FLOAT *a, FLOAT *b, FLOAT *c, BLASLONG ldc) {
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FLOAT aa, bb;
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int i, j, k;
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a += (n - 1) * m;
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b += (n - 1) * n;
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for (i = n - 1; i >= 0; i--) {
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bb = *(b + i);
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for (j = 0; j < m; j ++) {
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aa = *(c + j + i * ldc);
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kusano |
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aa *= bb;
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*a = aa;
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kusano |
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*(c + j + i * ldc) = aa;
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kusano |
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a ++;
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|
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kusano |
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for (k = 0; k < i; k ++){
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*(c + j + k * ldc) -= aa * *(b + k);
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kusano |
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}
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kusano |
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}
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b -= n;
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kusano |
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a -= 2 * m;
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kusano |
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}
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kusano |
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}
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#else
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|
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static inline void solve(BLASLONG m, BLASLONG n, FLOAT *a, FLOAT *b, FLOAT *c, BLASLONG ldc) {
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FLOAT aa1, aa2;
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FLOAT bb1, bb2;
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FLOAT cc1, cc2;
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int i, j, k;
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ldc *= 2;
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a += (n - 1) * m * 2;
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b += (n - 1) * n * 2;
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for (i = n - 1; i >= 0; i--) {
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bb1 = *(b + i * 2 + 0);
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bb2 = *(b + i * 2 + 1);
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for (j = 0; j < m; j ++) {
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aa1 = *(c + j * 2 + 0 + i * ldc);
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aa2 = *(c + j * 2 + 1 + i * ldc);
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|
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kusano |
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#ifndef CONJ
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cc1 = aa1 * bb1 - aa2 * bb2;
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kusano |
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cc2 = aa1 * bb2 + aa2 * bb1;
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#else
|
|
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cc1 = aa1 * bb1 + aa2 * bb2;
|
|
kusano |
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cc2 = - aa1 * bb2 + aa2 * bb1;
|
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kusano |
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#endif
|
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|
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kusano |
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*(a + 0) = cc1;
|
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kusano |
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*(a + 1) = cc2;
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kusano |
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|
|
kusano |
2b45e8 |
*(c + j * 2 + 0 + i * ldc) = cc1;
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kusano |
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*(c + j * 2 + 1 + i * ldc) = cc2;
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kusano |
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a += 2;
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kusano |
2b45e8 |
|
|
kusano |
2b45e8 |
for (k = 0; k < i; k ++){
|
|
kusano |
2b45e8 |
#ifndef CONJ
|
|
kusano |
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*(c + j * 2 + 0 + k * ldc) -= cc1 * *(b + k * 2 + 0) - cc2 * *(b + k * 2 + 1);
|
|
kusano |
2b45e8 |
*(c + j * 2 + 1 + k * ldc) -= cc1 * *(b + k * 2 + 1) + cc2 * *(b + k * 2 + 0);
|
|
kusano |
2b45e8 |
#else
|
|
kusano |
2b45e8 |
*(c + j * 2 + 0 + k * ldc) -= cc1 * *(b + k * 2 + 0) + cc2 * *(b + k * 2 + 1);
|
|
kusano |
2b45e8 |
*(c + j * 2 + 1 + k * ldc) -= -cc1 * *(b + k * 2 + 1) + cc2 * *(b + k * 2 + 0);
|
|
kusano |
2b45e8 |
#endif
|
|
kusano |
2b45e8 |
}
|
|
kusano |
2b45e8 |
|
|
kusano |
2b45e8 |
}
|
|
kusano |
2b45e8 |
b -= n * 2;
|
|
kusano |
2b45e8 |
a -= 4 * m;
|
|
kusano |
2b45e8 |
}
|
|
kusano |
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|
|
kusano |
2b45e8 |
}
|
|
kusano |
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|
|
kusano |
2b45e8 |
#endif
|
|
kusano |
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|
|
kusano |
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int CNAME(BLASLONG m, BLASLONG n, BLASLONG k, FLOAT dummy1,
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|
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#ifdef COMPLEX
|
|
kusano |
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FLOAT dummy2,
|
|
kusano |
2b45e8 |
#endif
|
|
kusano |
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FLOAT *a, FLOAT *b, FLOAT *c, BLASLONG ldc, BLASLONG offset){
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|
kusano |
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|
|
kusano |
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BLASLONG i, j;
|
|
kusano |
2b45e8 |
FLOAT *aa, *cc;
|
|
kusano |
2b45e8 |
BLASLONG kk;
|
|
kusano |
2b45e8 |
|
|
kusano |
2b45e8 |
#if 0
|
|
kusano |
2b45e8 |
fprintf(stderr, "TRSM RT KERNEL m = %3ld n = %3ld k = %3ld offset = %3ld\n",
|
|
kusano |
2b45e8 |
m, n, k, offset);
|
|
kusano |
2b45e8 |
#endif
|
|
kusano |
2b45e8 |
|
|
kusano |
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kk = n - offset;
|
|
kusano |
2b45e8 |
c += n * ldc * COMPSIZE;
|
|
kusano |
2b45e8 |
b += n * k * COMPSIZE;
|
|
kusano |
2b45e8 |
|
|
kusano |
2b45e8 |
if (n & (GEMM_UNROLL_N - 1)) {
|
|
kusano |
2b45e8 |
|
|
kusano |
2b45e8 |
j = 1;
|
|
kusano |
2b45e8 |
while (j < GEMM_UNROLL_N) {
|
|
kusano |
2b45e8 |
if (n & j) {
|
|
kusano |
2b45e8 |
|
|
kusano |
2b45e8 |
aa = a;
|
|
kusano |
2b45e8 |
b -= j * k * COMPSIZE;
|
|
kusano |
2b45e8 |
c -= j * ldc* COMPSIZE;
|
|
kusano |
2b45e8 |
cc = c;
|
|
kusano |
2b45e8 |
|
|
kusano |
2b45e8 |
i = (m >> GEMM_UNROLL_M_SHIFT);
|
|
kusano |
2b45e8 |
if (i > 0) {
|
|
kusano |
2b45e8 |
|
|
kusano |
2b45e8 |
do {
|
|
kusano |
2b45e8 |
if (k - kk > 0) {
|
|
kusano |
2b45e8 |
GEMM_KERNEL(GEMM_UNROLL_M, j, k - kk, dm1,
|
|
kusano |
2b45e8 |
#ifdef COMPLEX
|
|
kusano |
2b45e8 |
ZERO,
|
|
kusano |
2b45e8 |
#endif
|
|
kusano |
2b45e8 |
aa + GEMM_UNROLL_M * kk * COMPSIZE,
|
|
kusano |
2b45e8 |
b + j * kk * COMPSIZE,
|
|
kusano |
2b45e8 |
cc,
|
|
kusano |
2b45e8 |
ldc);
|
|
kusano |
2b45e8 |
}
|
|
kusano |
2b45e8 |
|
|
kusano |
2b45e8 |
solve(GEMM_UNROLL_M, j,
|
|
kusano |
2b45e8 |
aa + (kk - j) * GEMM_UNROLL_M * COMPSIZE,
|
|
kusano |
2b45e8 |
b + (kk - j) * j * COMPSIZE,
|
|
kusano |
2b45e8 |
cc, ldc);
|
|
kusano |
2b45e8 |
|
|
kusano |
2b45e8 |
aa += GEMM_UNROLL_M * k * COMPSIZE;
|
|
kusano |
2b45e8 |
cc += GEMM_UNROLL_M * COMPSIZE;
|
|
kusano |
2b45e8 |
i --;
|
|
kusano |
2b45e8 |
} while (i > 0);
|
|
kusano |
2b45e8 |
}
|
|
kusano |
2b45e8 |
|
|
kusano |
2b45e8 |
if (m & (GEMM_UNROLL_M - 1)) {
|
|
kusano |
2b45e8 |
i = (GEMM_UNROLL_M >> 1);
|
|
kusano |
2b45e8 |
do {
|
|
kusano |
2b45e8 |
if (m & i) {
|
|
kusano |
2b45e8 |
|
|
kusano |
2b45e8 |
if (k - kk > 0) {
|
|
kusano |
2b45e8 |
GEMM_KERNEL(i, j, k - kk, dm1,
|
|
kusano |
2b45e8 |
#ifdef COMPLEX
|
|
kusano |
2b45e8 |
ZERO,
|
|
kusano |
2b45e8 |
#endif
|
|
kusano |
2b45e8 |
aa + i * kk * COMPSIZE,
|
|
kusano |
2b45e8 |
b + j * kk * COMPSIZE,
|
|
kusano |
2b45e8 |
cc, ldc);
|
|
kusano |
2b45e8 |
}
|
|
kusano |
2b45e8 |
|
|
kusano |
2b45e8 |
solve(i, j,
|
|
kusano |
2b45e8 |
aa + (kk - j) * i * COMPSIZE,
|
|
kusano |
2b45e8 |
b + (kk - j) * j * COMPSIZE,
|
|
kusano |
2b45e8 |
cc, ldc);
|
|
kusano |
2b45e8 |
|
|
kusano |
2b45e8 |
aa += i * k * COMPSIZE;
|
|
kusano |
2b45e8 |
cc += i * COMPSIZE;
|
|
kusano |
2b45e8 |
|
|
kusano |
2b45e8 |
}
|
|
kusano |
2b45e8 |
i >>= 1;
|
|
kusano |
2b45e8 |
} while (i > 0);
|
|
kusano |
2b45e8 |
}
|
|
kusano |
2b45e8 |
kk -= j;
|
|
kusano |
2b45e8 |
}
|
|
kusano |
2b45e8 |
j <<= 1;
|
|
kusano |
2b45e8 |
}
|
|
kusano |
2b45e8 |
}
|
|
kusano |
2b45e8 |
|
|
kusano |
2b45e8 |
j = (n >> GEMM_UNROLL_N_SHIFT);
|
|
kusano |
2b45e8 |
|
|
kusano |
2b45e8 |
if (j > 0) {
|
|
kusano |
2b45e8 |
|
|
kusano |
2b45e8 |
do {
|
|
kusano |
2b45e8 |
aa = a;
|
|
kusano |
2b45e8 |
b -= GEMM_UNROLL_N * k * COMPSIZE;
|
|
kusano |
2b45e8 |
c -= GEMM_UNROLL_N * ldc * COMPSIZE;
|
|
kusano |
2b45e8 |
cc = c;
|
|
kusano |
2b45e8 |
|
|
kusano |
2b45e8 |
i = (m >> GEMM_UNROLL_M_SHIFT);
|
|
kusano |
2b45e8 |
if (i > 0) {
|
|
kusano |
2b45e8 |
do {
|
|
kusano |
2b45e8 |
if (k - kk > 0) {
|
|
kusano |
2b45e8 |
GEMM_KERNEL(GEMM_UNROLL_M, GEMM_UNROLL_N, k - kk, dm1,
|
|
kusano |
2b45e8 |
#ifdef COMPLEX
|
|
kusano |
2b45e8 |
ZERO,
|
|
kusano |
2b45e8 |
#endif
|
|
kusano |
2b45e8 |
aa + GEMM_UNROLL_M * kk * COMPSIZE,
|
|
kusano |
2b45e8 |
b + GEMM_UNROLL_N * kk * COMPSIZE,
|
|
kusano |
2b45e8 |
cc,
|
|
kusano |
2b45e8 |
ldc);
|
|
kusano |
2b45e8 |
}
|
|
kusano |
2b45e8 |
|
|
kusano |
2b45e8 |
solve(GEMM_UNROLL_M, GEMM_UNROLL_N,
|
|
kusano |
2b45e8 |
aa + (kk - GEMM_UNROLL_N) * GEMM_UNROLL_M * COMPSIZE,
|
|
kusano |
2b45e8 |
b + (kk - GEMM_UNROLL_N) * GEMM_UNROLL_N * COMPSIZE,
|
|
kusano |
2b45e8 |
cc, ldc);
|
|
kusano |
2b45e8 |
|
|
kusano |
2b45e8 |
aa += GEMM_UNROLL_M * k * COMPSIZE;
|
|
kusano |
2b45e8 |
cc += GEMM_UNROLL_M * COMPSIZE;
|
|
kusano |
2b45e8 |
i --;
|
|
kusano |
2b45e8 |
} while (i > 0);
|
|
kusano |
2b45e8 |
}
|
|
kusano |
2b45e8 |
|
|
kusano |
2b45e8 |
if (m & (GEMM_UNROLL_M - 1)) {
|
|
kusano |
2b45e8 |
i = (GEMM_UNROLL_M >> 1);
|
|
kusano |
2b45e8 |
do {
|
|
kusano |
2b45e8 |
if (m & i) {
|
|
kusano |
2b45e8 |
if (k - kk > 0) {
|
|
kusano |
2b45e8 |
GEMM_KERNEL(i, GEMM_UNROLL_N, k - kk, dm1,
|
|
kusano |
2b45e8 |
#ifdef COMPLEX
|
|
kusano |
2b45e8 |
ZERO,
|
|
kusano |
2b45e8 |
#endif
|
|
kusano |
2b45e8 |
aa + i * kk * COMPSIZE,
|
|
kusano |
2b45e8 |
b + GEMM_UNROLL_N * kk * COMPSIZE,
|
|
kusano |
2b45e8 |
cc,
|
|
kusano |
2b45e8 |
ldc);
|
|
kusano |
2b45e8 |
}
|
|
kusano |
2b45e8 |
|
|
kusano |
2b45e8 |
solve(i, GEMM_UNROLL_N,
|
|
kusano |
2b45e8 |
aa + (kk - GEMM_UNROLL_N) * i * COMPSIZE,
|
|
kusano |
2b45e8 |
b + (kk - GEMM_UNROLL_N) * GEMM_UNROLL_N * COMPSIZE,
|
|
kusano |
2b45e8 |
cc, ldc);
|
|
kusano |
2b45e8 |
|
|
kusano |
2b45e8 |
aa += i * k * COMPSIZE;
|
|
kusano |
2b45e8 |
cc += i * COMPSIZE;
|
|
kusano |
2b45e8 |
}
|
|
kusano |
2b45e8 |
i >>= 1;
|
|
kusano |
2b45e8 |
} while (i > 0);
|
|
kusano |
2b45e8 |
}
|
|
kusano |
2b45e8 |
|
|
kusano |
2b45e8 |
kk -= GEMM_UNROLL_N;
|
|
kusano |
2b45e8 |
j --;
|
|
kusano |
2b45e8 |
} while (j > 0);
|
|
kusano |
2b45e8 |
}
|
|
kusano |
2b45e8 |
|
|
kusano |
2b45e8 |
return 0;
|
|
kusano |
2b45e8 |
}
|
|
kusano |
2b45e8 |
|
|
kusano |
2b45e8 |
|