338 lines
8.4 KiB
C
338 lines
8.4 KiB
C
/*********************************************************************/
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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_L
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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 == 6
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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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#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 += (m - 1) * m;
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b += (m - 1) * n;
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for (i = m - 1; i >= 0; i--) {
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aa = *(a + i);
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for (j = 0; j < n; j ++) {
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bb = *(c + i + j * ldc);
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bb *= aa;
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*b = bb;
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*(c + i + j * ldc) = bb;
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b ++;
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for (k = 0; k < i; k ++){
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*(c + k + j * ldc) -= bb * *(a + k);
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}
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}
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a -= m;
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b -= 2 * n;
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}
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}
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#else
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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 += (m - 1) * m * 2;
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b += (m - 1) * n * 2;
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for (i = m - 1; i >= 0; i--) {
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aa1 = *(a + i * 2 + 0);
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aa2 = *(a + i * 2 + 1);
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for (j = 0; j < n; j ++) {
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bb1 = *(c + i * 2 + 0 + j * ldc);
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bb2 = *(c + i * 2 + 1 + j * ldc);
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#ifndef CONJ
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cc1 = aa1 * bb1 - aa2 * bb2;
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cc2 = aa1 * bb2 + aa2 * bb1;
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#else
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cc1 = aa1 * bb1 + aa2 * bb2;
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cc2 = aa1 * bb2 - aa2 * bb1;
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#endif
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*(b + 0) = cc1;
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*(b + 1) = cc2;
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*(c + i * 2 + 0 + j * ldc) = cc1;
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*(c + i * 2 + 1 + j * ldc) = cc2;
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b += 2;
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for (k = 0; k < i; k ++){
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#ifndef CONJ
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*(c + k * 2 + 0 + j * ldc) -= cc1 * *(a + k * 2 + 0) - cc2 * *(a + k * 2 + 1);
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*(c + k * 2 + 1 + j * ldc) -= cc1 * *(a + k * 2 + 1) + cc2 * *(a + k * 2 + 0);
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#else
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*(c + k * 2 + 0 + j * ldc) -= cc1 * *(a + k * 2 + 0) + cc2 * *(a + k * 2 + 1);
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*(c + k * 2 + 1 + j * ldc) -= - cc1 * *(a + k * 2 + 1) + cc2 * *(a + k * 2 + 0);
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#endif
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}
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}
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a -= m * 2;
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b -= 4 * n;
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}
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}
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#endif
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int CNAME(BLASLONG m, BLASLONG n, BLASLONG k, FLOAT dummy1,
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#ifdef COMPLEX
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FLOAT dummy2,
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#endif
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FLOAT *a, FLOAT *b, FLOAT *c, BLASLONG ldc, BLASLONG offset){
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BLASLONG i, j;
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FLOAT *aa, *cc;
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BLASLONG kk;
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#if 0
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fprintf(stderr, "TRSM KERNEL LN : m = %3ld n = %3ld k = %3ld offset = %3ld\n",
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m, n, k, offset);
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#endif
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j = (n >> GEMM_UNROLL_N_SHIFT);
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while (j > 0) {
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kk = m + offset;
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if (m & (GEMM_UNROLL_M - 1)) {
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for (i = 1; i < GEMM_UNROLL_M; i *= 2){
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if (m & i) {
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aa = a + ((m & ~(i - 1)) - i) * k * COMPSIZE;
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cc = c + ((m & ~(i - 1)) - i) * COMPSIZE;
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if (k - kk > 0) {
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GEMM_KERNEL(i, GEMM_UNROLL_N, k - kk, dm1,
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#ifdef COMPLEX
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ZERO,
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#endif
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aa + i * kk * COMPSIZE,
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b + GEMM_UNROLL_N * kk * COMPSIZE,
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cc,
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ldc);
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}
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solve(i, GEMM_UNROLL_N,
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aa + (kk - i) * i * COMPSIZE,
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b + (kk - i) * GEMM_UNROLL_N * COMPSIZE,
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cc, ldc);
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kk -= i;
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}
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}
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}
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i = (m >> GEMM_UNROLL_M_SHIFT);
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if (i > 0) {
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aa = a + ((m & ~(GEMM_UNROLL_M - 1)) - GEMM_UNROLL_M) * k * COMPSIZE;
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cc = c + ((m & ~(GEMM_UNROLL_M - 1)) - GEMM_UNROLL_M) * COMPSIZE;
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do {
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if (k - kk > 0) {
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GEMM_KERNEL(GEMM_UNROLL_M, GEMM_UNROLL_N, k - kk, dm1,
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#ifdef COMPLEX
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ZERO,
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#endif
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aa + GEMM_UNROLL_M * kk * COMPSIZE,
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b + GEMM_UNROLL_N * kk * COMPSIZE,
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cc,
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ldc);
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}
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solve(GEMM_UNROLL_M, GEMM_UNROLL_N,
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aa + (kk - GEMM_UNROLL_M) * GEMM_UNROLL_M * COMPSIZE,
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b + (kk - GEMM_UNROLL_M) * GEMM_UNROLL_N * COMPSIZE,
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cc, ldc);
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aa -= GEMM_UNROLL_M * k * COMPSIZE;
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cc -= GEMM_UNROLL_M * COMPSIZE;
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kk -= GEMM_UNROLL_M;
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i --;
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} while (i > 0);
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}
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b += GEMM_UNROLL_N * k * COMPSIZE;
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c += GEMM_UNROLL_N * ldc * COMPSIZE;
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j --;
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}
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if (n & (GEMM_UNROLL_N - 1)) {
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j = (GEMM_UNROLL_N >> 1);
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while (j > 0) {
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if (n & j) {
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kk = m + offset;
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if (m & (GEMM_UNROLL_M - 1)) {
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for (i = 1; i < GEMM_UNROLL_M; i *= 2){
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if (m & i) {
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aa = a + ((m & ~(i - 1)) - i) * k * COMPSIZE;
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cc = c + ((m & ~(i - 1)) - i) * COMPSIZE;
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if (k - kk > 0) {
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GEMM_KERNEL(i, j, k - kk, dm1,
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#ifdef COMPLEX
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ZERO,
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#endif
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aa + i * kk * COMPSIZE,
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b + j * kk * COMPSIZE,
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cc, ldc);
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}
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solve(i, j,
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aa + (kk - i) * i * COMPSIZE,
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b + (kk - i) * j * COMPSIZE,
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cc, ldc);
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kk -= i;
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}
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}
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}
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i = (m >> GEMM_UNROLL_M_SHIFT);
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if (i > 0) {
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aa = a + ((m & ~(GEMM_UNROLL_M - 1)) - GEMM_UNROLL_M) * k * COMPSIZE;
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cc = c + ((m & ~(GEMM_UNROLL_M - 1)) - GEMM_UNROLL_M) * COMPSIZE;
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do {
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if (k - kk > 0) {
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GEMM_KERNEL(GEMM_UNROLL_M, j, k - kk, dm1,
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#ifdef COMPLEX
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ZERO,
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#endif
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aa + GEMM_UNROLL_M * kk * COMPSIZE,
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b + j * kk * COMPSIZE,
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cc,
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ldc);
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}
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solve(GEMM_UNROLL_M, j,
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aa + (kk - GEMM_UNROLL_M) * GEMM_UNROLL_M * COMPSIZE,
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b + (kk - GEMM_UNROLL_M) * j * COMPSIZE,
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cc, ldc);
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aa -= GEMM_UNROLL_M * k * COMPSIZE;
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cc -= GEMM_UNROLL_M * COMPSIZE;
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kk -= GEMM_UNROLL_M;
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i --;
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} while (i > 0);
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}
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b += j * k * COMPSIZE;
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c += j * ldc * COMPSIZE;
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}
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j >>= 1;
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}
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}
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return 0;
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}
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