Blame thirdparty/openblas/xianyi-OpenBLAS-e6e87a2/kernel/generic/trsm_kernel_LN.c

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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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/*    BUSINESS INTERRUPTION) HOWEVER CAUSED  AND ON ANY THEORY OF    */
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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 == 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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}