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

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