OpenBLAS/driver/level3/trmm_R.c

/*********************************************************************/
/* Copyright 2009, 2010 The University of Texas at Austin.           */
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/*********************************************************************/

#include <stdio.h>
#include <ctype.h>
#include "common.h"

const static FLOAT dp1 = 1.;

#ifdef CONJ
#define GEMM_KERNEL   GEMM_KERNEL_R
#define TRMM_KERNEL_N TRMM_KERNEL_RR
#define TRMM_KERNEL_T TRMM_KERNEL_RC
#else
#define GEMM_KERNEL   GEMM_KERNEL_N
#define TRMM_KERNEL_N TRMM_KERNEL_RN
#define TRMM_KERNEL_T TRMM_KERNEL_RT
#endif

#if 0
#undef GEMM_P
#undef GEMM_Q
#undef GEMM_R

#define GEMM_P 8
#define GEMM_Q 12
#define GEMM_R 16
#endif

int CNAME(blas_arg_t *args, BLASLONG *range_m, BLASLONG *range_n, FLOAT *sa, FLOAT *sb, BLASLONG dummy) {

  BLASLONG m, n, lda, ldb;
  FLOAT *beta, *a, *b;

  BLASLONG ls, is, js;
  BLASLONG min_l, min_i, min_j;
  BLASLONG jjs, min_jj;
#if !((!defined(UPPER) && !defined(TRANSA)) || (defined(UPPER) && defined(TRANSA)))
  BLASLONG start_ls;
#endif

  m = args -> m;
  n = args -> n;

  a = (FLOAT *)args -> a;
  b = (FLOAT *)args -> b;

  lda = args -> lda;
  ldb = args -> ldb;

  beta  = (FLOAT *)args -> beta;

  if (range_m) {
    BLASLONG m_from = *(((BLASLONG *)range_m) + 0);
    BLASLONG m_to   = *(((BLASLONG *)range_m) + 1);

    m = m_to - m_from;

    b += m_from * COMPSIZE;
  }

  if (beta) {
#ifndef COMPLEX
    if (beta[0] != ONE)
      GEMM_BETA(m, n, 0, beta[0], NULL, 0, NULL, 0, b, ldb);
    if (beta[0] == ZERO) return 0;
#else
    if ((beta[0] != ONE) || (beta[1] != ZERO))
      GEMM_BETA(m, n, 0, beta[0], beta[1], NULL, 0, NULL, 0, b, ldb);
    if ((beta[0] == ZERO) && (beta[1] == ZERO)) return 0;
#endif
  }

#if (!defined(UPPER) && !defined(TRANSA)) || (defined(UPPER) && defined(TRANSA))

  for(js = 0; js < n; js += GEMM_R){
    min_j = n - js;
    if (min_j > GEMM_R) min_j = GEMM_R;

    for(ls = js; ls < js + min_j; ls += GEMM_Q){
      min_l = js + min_j - ls;
      if (min_l > GEMM_Q) min_l = GEMM_Q;
      min_i = m;
      if (min_i > GEMM_P) min_i = GEMM_P;

      GEMM_ITCOPY(min_l, min_i, b + (ls * ldb) * COMPSIZE, ldb, sa);

      for(jjs = 0; jjs < ls - js; jjs += min_jj){
	min_jj = ls - js - jjs;
#if defined(SKYLAKEX) || defined(COOPERLAKE)
	/* the current AVX512 s/d/c/z GEMM kernel requires n>=6*GEMM_UNROLL_N to achieve the best performance */
	if (min_jj >= 6*GEMM_UNROLL_N) min_jj = 6*GEMM_UNROLL_N;
#else
	if (min_jj > GEMM_UNROLL_N*3) min_jj = GEMM_UNROLL_N*3;
	else
	  if (min_jj > GEMM_UNROLL_N) min_jj = GEMM_UNROLL_N;
#endif
#ifndef TRANSA
	GEMM_ONCOPY(min_l, min_jj, a + (ls + (js + jjs) * lda) * COMPSIZE, lda, sb + min_l * jjs * COMPSIZE);
#else
	GEMM_OTCOPY(min_l, min_jj, a + ((js + jjs) + ls * lda) * COMPSIZE, lda, sb + min_l * jjs * COMPSIZE);
#endif

	GEMM_KERNEL(min_i, min_jj, min_l, dp1,
#ifdef COMPLEX
		    ZERO,
#endif
		    sa, sb + min_l * jjs * COMPSIZE,
		    b + ((js + jjs) * ldb) * COMPSIZE, ldb);
      }

      for(jjs = 0; jjs < min_l; jjs += min_jj){
	min_jj = min_l - jjs;
#if defined(SKYLAKEX) || defined(COOPERLAKE)
	/* the current AVX512 s/d/c/z GEMM kernel requires n>=6*GEMM_UNROLL_N to achieve the best performance */
	if (min_jj >= 6*GEMM_UNROLL_N) min_jj = 6*GEMM_UNROLL_N;
#else
	if (min_jj > GEMM_UNROLL_N*3) min_jj = GEMM_UNROLL_N*3;
	else
	  if (min_jj > GEMM_UNROLL_N) min_jj = GEMM_UNROLL_N;
#endif
#ifndef TRANSA
	TRMM_OLNCOPY(min_l, min_jj, a, lda, ls, ls + jjs, sb + min_l * (ls - js + jjs) * COMPSIZE);
#else
	TRMM_OUTCOPY(min_l, min_jj, a, lda, ls, ls + jjs, sb + min_l * (ls - js + jjs) * COMPSIZE);
#endif

	TRMM_KERNEL_T(min_i, min_jj, min_l, dp1,
#ifdef COMPLEX
		      ZERO,
#endif
		      sa,
		      sb + (ls - js + jjs) * min_l * COMPSIZE,
		      b + ((ls + jjs) * ldb) * COMPSIZE, ldb, -jjs);
      }

      for(is = min_i; is < m; is += GEMM_P){
	min_i = m - is;
	if (min_i > GEMM_P) min_i = GEMM_P;

	GEMM_ITCOPY(min_l, min_i, b + (is + ls * ldb) * COMPSIZE, ldb, sa);

	GEMM_KERNEL(min_i, ls - js, min_l, dp1,
#ifdef COMPLEX
		    ZERO,
#endif
		    sa, sb,
		    b + (is + js * ldb) * COMPSIZE, ldb);

	TRMM_KERNEL_T(min_i, min_l, min_l, dp1,
#ifdef COMPLEX
		      ZERO,
#endif
		      sa,
		      sb + (ls - js) * min_l * COMPSIZE,
		      b + (is + ls * ldb) * COMPSIZE, ldb, 0);
      }
    }


    for(ls = js + min_j; ls < n; ls += GEMM_Q){
      min_l = n - ls;
      if (min_l > GEMM_Q) min_l = GEMM_Q;
      min_i = m;
      if (min_i > GEMM_P) min_i = GEMM_P;

      GEMM_ITCOPY(min_l, min_i, b + (ls * ldb) * COMPSIZE, ldb, sa);

      for(jjs = js; jjs < js + min_j; jjs += min_jj){
	min_jj = min_j + js - jjs;
#if defined(SKYLAKEX) || defined(COOPERLAKE)
	/* the current AVX512 s/d/c/z GEMM kernel requires n>=6*GEMM_UNROLL_N to achieve the best performance */
	if (min_jj >= 6*GEMM_UNROLL_N) min_jj = 6*GEMM_UNROLL_N;
#else
	if (min_jj > GEMM_UNROLL_N*3) min_jj = GEMM_UNROLL_N*3;
	else
	  if (min_jj > GEMM_UNROLL_N) min_jj = GEMM_UNROLL_N;
#endif
#ifndef TRANSA
	GEMM_ONCOPY(min_l, min_jj, a + (ls + jjs * lda) * COMPSIZE, lda, sb + min_l * (jjs - js) * COMPSIZE);
#else
	GEMM_OTCOPY(min_l, min_jj, a + (jjs + ls * lda) * COMPSIZE, lda, sb + min_l * (jjs - js) * COMPSIZE);
#endif

	GEMM_KERNEL(min_i, min_jj, min_l, dp1,
#ifdef COMPLEX
		    ZERO,
#endif
		    sa, sb + min_l * (jjs - js) * COMPSIZE,
		    b + (jjs * ldb) * COMPSIZE, ldb);
      }

      for(is = min_i; is < m; is += GEMM_P){
	min_i = m - is;
	if (min_i > GEMM_P) min_i = GEMM_P;

	GEMM_ITCOPY(min_l, min_i, b + (is + ls * ldb) * COMPSIZE, ldb, sa);

	GEMM_KERNEL(min_i, min_j, min_l, dp1,
#ifdef COMPLEX
		    ZERO,
#endif
		    sa, sb, b + (is + js * ldb) * COMPSIZE, ldb);
      }
    }
  }

#else
  for(js = n; js > 0; js -= GEMM_R){
    min_j = js;
    if (min_j > GEMM_R) min_j = GEMM_R;

    start_ls = js - min_j;
    while (start_ls + GEMM_Q < js) start_ls += GEMM_Q;

    for(ls = start_ls; ls >= js - min_j; ls -= GEMM_Q){
      min_l = js - ls;
      if (min_l > GEMM_Q) min_l = GEMM_Q;
      min_i = m;
      if (min_i > GEMM_P) min_i = GEMM_P;

      GEMM_ITCOPY(min_l, min_i, b + (ls * ldb) * COMPSIZE, ldb, sa);

      for(jjs = 0; jjs < min_l; jjs += min_jj){
	min_jj = min_l - jjs;
#if defined(SKYLAKEX) || defined(COOPERLAKE)
	/* the current AVX512 s/d/c/z GEMM kernel requires n>=6*GEMM_UNROLL_N to achieve the best performance */
	if (min_jj >= 6*GEMM_UNROLL_N) min_jj = 6*GEMM_UNROLL_N;
#else
	if (min_jj > GEMM_UNROLL_N*3) min_jj = GEMM_UNROLL_N*3;
	else
	  if (min_jj > GEMM_UNROLL_N) min_jj = GEMM_UNROLL_N;
#endif
#ifndef TRANSA
	TRMM_OUNCOPY(min_l, min_jj, a, lda, ls, ls + jjs, sb + min_l * jjs * COMPSIZE);
#else
	TRMM_OLTCOPY(min_l, min_jj, a, lda, ls, ls + jjs, sb + min_l * jjs * COMPSIZE);
#endif

	TRMM_KERNEL_N(min_i, min_jj, min_l, dp1,
#ifdef COMPLEX
		      ZERO,
#endif
		      sa,
		      sb + min_l * jjs * COMPSIZE,
		      b + ((ls + jjs) * ldb) * COMPSIZE, ldb, -jjs);
      }

      for(jjs = 0; jjs < js - ls - min_l; jjs += min_jj){
	min_jj = js - ls - min_l - jjs;
#if defined(SKYLAKEX) || defined(COOPERLAKE)
	/* the current AVX512 s/d/c/z GEMM kernel requires n>=6*GEMM_UNROLL_N to achieve the best performance */
	if (min_jj >= 6*GEMM_UNROLL_N) min_jj = 6*GEMM_UNROLL_N;
#else
	if (min_jj > GEMM_UNROLL_N*3) min_jj = GEMM_UNROLL_N*3;
	else
	  if (min_jj > GEMM_UNROLL_N) min_jj = GEMM_UNROLL_N;
#endif
#ifndef TRANSA
	GEMM_ONCOPY(min_l, min_jj, a + (ls + (ls + min_l + jjs) * lda) * COMPSIZE, lda,
		    sb + min_l * (min_l + jjs) * COMPSIZE);
#else
	GEMM_OTCOPY(min_l, min_jj, a + ((ls + min_l + jjs) + ls * lda) * COMPSIZE, lda,
		    sb + min_l * (min_l + jjs) * COMPSIZE);
#endif

	GEMM_KERNEL(min_i, min_jj, min_l, dp1,
#ifdef COMPLEX
		    ZERO,
#endif
		    sa,
		    sb + min_l * (min_l + jjs) * COMPSIZE,
		    b + ((ls + min_l + jjs) * ldb) * COMPSIZE, ldb);
      }

      for(is = min_i; is < m; is += GEMM_P){
	min_i = m - is;
	if (min_i > GEMM_P) min_i = GEMM_P;

	GEMM_ITCOPY(min_l, min_i, b + (is + ls * ldb) * COMPSIZE, ldb, sa);

	TRMM_KERNEL_N(min_i, min_l, min_l, dp1,
#ifdef COMPLEX
		      ZERO,
#endif
		      sa,
		      sb,
		      b + (is + ls * ldb) * COMPSIZE, ldb, 0);

	if (js - ls - min_l > 0) {
	  GEMM_KERNEL(min_i, js - ls - min_l, min_l, dp1,
#ifdef COMPLEX
		      ZERO,
#endif
		      sa,
		      sb + min_l * min_l * COMPSIZE,
		      b + (is + (ls + min_l) * ldb) * COMPSIZE, ldb);
	}
      }
    }

    for(ls = 0; ls < js - min_j; ls += GEMM_Q){
      min_l = js - min_j - ls;
      if (min_l > GEMM_Q) min_l = GEMM_Q;
      min_i = m;
      if (min_i > GEMM_P) min_i = GEMM_P;

      GEMM_ITCOPY(min_l, min_i, b + (ls * ldb) * COMPSIZE, ldb, sa);

      for(jjs = js; jjs < js + min_j; jjs += min_jj){
	min_jj = min_j + js - jjs;
#if defined(SKYLAKEX) || defined(COOPERLAKE)
	/* the current AVX512 s/d/c/z GEMM kernel requires n>=6*GEMM_UNROLL_N to achieve the best performance */
	if (min_jj >= 6*GEMM_UNROLL_N) min_jj = 6*GEMM_UNROLL_N;
#else
	if (min_jj > GEMM_UNROLL_N*3) min_jj = GEMM_UNROLL_N*3;
	else
	  if (min_jj > GEMM_UNROLL_N) min_jj = GEMM_UNROLL_N;
#endif
#ifndef TRANSA
	GEMM_ONCOPY(min_l, min_jj, a + (ls + (jjs - min_j) * lda) * COMPSIZE, lda, sb + min_l * (jjs - js) * COMPSIZE);
#else
	GEMM_OTCOPY(min_l, min_jj, a + ((jjs - min_j) + ls * lda) * COMPSIZE, lda, sb + min_l * (jjs - js) * COMPSIZE);
#endif

	GEMM_KERNEL(min_i, min_jj, min_l, dp1,
#ifdef COMPLEX
		    ZERO,
#endif
		    sa, sb + min_l * (jjs - js) * COMPSIZE,
		    b + ((jjs - min_j) * ldb) * COMPSIZE, ldb);
      }

      for(is = min_i; is < m; is += GEMM_P){
	min_i = m - is;
	if (min_i > GEMM_P) min_i = GEMM_P;

	GEMM_ITCOPY(min_l, min_i, b + (is + ls * ldb) * COMPSIZE, ldb, sa);

	GEMM_KERNEL(min_i, min_j, min_l, dp1,
#ifdef COMPLEX
		    ZERO,
#endif
		    sa, sb, b + (is + (js - min_j) * ldb) * COMPSIZE, ldb);
      }
    }
  }

#endif

  return 0;
}