OpenBLAS/kernel/generic/trsm_kernel_RN.c

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/* Copyright 2009, 2010 The University of Texas at Austin.           */
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#include "common.h"

static FLOAT dm1 = -1.;

#ifdef CONJ
#define GEMM_KERNEL   GEMM_KERNEL_R
#else
#define GEMM_KERNEL   GEMM_KERNEL_N
#endif

#if GEMM_DEFAULT_UNROLL_M == 1
#define GEMM_UNROLL_M_SHIFT 0
#endif

#if GEMM_DEFAULT_UNROLL_M == 2
#define GEMM_UNROLL_M_SHIFT 1
#endif

#if GEMM_DEFAULT_UNROLL_M == 4
#define GEMM_UNROLL_M_SHIFT 2
#endif

#if GEMM_DEFAULT_UNROLL_M == 8
#define GEMM_UNROLL_M_SHIFT 3
#endif

#if GEMM_DEFAULT_UNROLL_M == 16
#define GEMM_UNROLL_M_SHIFT 4
#endif

#if GEMM_DEFAULT_UNROLL_N == 1
#define GEMM_UNROLL_N_SHIFT 0
#endif

#if GEMM_DEFAULT_UNROLL_N == 2
#define GEMM_UNROLL_N_SHIFT 1
#endif

#if GEMM_DEFAULT_UNROLL_N == 4
#define GEMM_UNROLL_N_SHIFT 2
#endif

#if GEMM_DEFAULT_UNROLL_N == 8
#define GEMM_UNROLL_N_SHIFT 3
#endif

#if GEMM_DEFAULT_UNROLL_N == 16
#define GEMM_UNROLL_N_SHIFT 4
#endif

#ifndef COMPLEX

static inline void solve(BLASLONG m, BLASLONG n, FLOAT *a, FLOAT *b, FLOAT *c, BLASLONG ldc) {

  FLOAT aa, bb;

  int i, j, k;

  for (i = 0; i < n; i++) {

    bb = *(b + i);
    
    for (j = 0; j < m; j ++) {
      aa = *(c + j + i * ldc);
      aa *= bb;
      *a  = aa;
      *(c + j + i * ldc) = aa;
      a ++;

      for (k = i + 1; k < n; k ++){
	*(c + j + k * ldc) -= aa * *(b + k);
      }

    }
    b += n;
  }
}

#else

static inline void solve(BLASLONG m, BLASLONG n, FLOAT *a, FLOAT *b, FLOAT *c, BLASLONG ldc) {

  FLOAT aa1, aa2;
  FLOAT bb1, bb2;
  FLOAT cc1, cc2;

  int i, j, k;

  ldc *= 2;

  for (i = 0; i < n; i++) {

    bb1 = *(b + i * 2 + 0);
    bb2 = *(b + i * 2 + 1);
    
    for (j = 0; j < m; j ++) {
      aa1 = *(c + j * 2 + 0 + i * ldc);
      aa2 = *(c + j * 2 + 1 + i * ldc);

#ifndef CONJ
      cc1 = aa1 * bb1 - aa2 * bb2;
      cc2 = aa1 * bb2 + aa2 * bb1;
#else
      cc1 =  aa1 * bb1 + aa2 * bb2;
      cc2 = -aa1 * bb2 + aa2 * bb1;
#endif

      *(a + 0) = cc1;
      *(a + 1) = cc2;
      *(c + j * 2 + 0 + i * ldc) = cc1;
      *(c + j * 2 + 1 + i * ldc) = cc2;
      a += 2;

      for (k = i + 1; k < n; k ++){
#ifndef CONJ
	*(c + j * 2 + 0 + k * ldc) -= cc1 * *(b + k * 2 + 0) - cc2 * *(b + k * 2 + 1);
	*(c + j * 2 + 1 + k * ldc) -= cc1 * *(b + k * 2 + 1) + cc2 * *(b + k * 2 + 0);
#else
	*(c + j * 2 + 0 + k * ldc) -=   cc1 * *(b + k * 2 + 0) + cc2 * *(b + k * 2 + 1);
	*(c + j * 2 + 1 + k * ldc) -= - cc1 * *(b + k * 2 + 1) + cc2 * *(b + k * 2 + 0);
#endif
      }

    }
    b += n * 2;
  }
}

#endif


int CNAME(BLASLONG m, BLASLONG n, BLASLONG k, FLOAT dummy1, 
#ifdef COMPLEX
	   FLOAT dummy2,
#endif
	   FLOAT *a, FLOAT *b, FLOAT *c, BLASLONG ldc, BLASLONG offset){

  FLOAT *aa, *cc;
  BLASLONG  kk;
  BLASLONG i, j, jj;

#if 0
  fprintf(stderr, "TRSM RN KERNEL m = %3ld  n = %3ld  k = %3ld offset = %3ld\n",
	  m, n, k, offset);
#endif

  jj = 0;
  j = (n >> GEMM_UNROLL_N_SHIFT);
  kk = -offset;

  while (j > 0) {
    
    aa = a;
    cc = c;
    
    i = (m >> GEMM_UNROLL_M_SHIFT);
    
    if (i > 0) {
      do {
	if (kk > 0) {
	  GEMM_KERNEL(GEMM_UNROLL_M, GEMM_UNROLL_N, kk, dm1, 
#ifdef COMPLEX
		      ZERO,
#endif
		      aa, b, cc, ldc); 
	}

	solve(GEMM_UNROLL_M, GEMM_UNROLL_N, 
	      aa + kk * GEMM_UNROLL_M * COMPSIZE,
	      b  + kk * GEMM_UNROLL_N * COMPSIZE,
	      cc, ldc);
	
	aa += GEMM_UNROLL_M * k * COMPSIZE;
	cc += GEMM_UNROLL_M     * COMPSIZE;
	i --;
      } while (i > 0);
    }

    
    if (m & (GEMM_UNROLL_M - 1)) {
      i = (GEMM_UNROLL_M >> 1);
      while (i > 0) {
	if (m & i) {
	    if (kk > 0) {
	      GEMM_KERNEL(i, GEMM_UNROLL_N, kk, dm1, 
#ifdef COMPLEX
			  ZERO,
#endif
			  aa, b, cc, ldc); 
	    }
	  solve(i, GEMM_UNROLL_N, 
		aa + kk * i             * COMPSIZE,
		b  + kk * GEMM_UNROLL_N * COMPSIZE,
		cc, ldc);

	  aa += i * k * COMPSIZE;
	  cc += i     * COMPSIZE;
	}
	i >>= 1;
      }
    }
    
    kk += GEMM_UNROLL_N;
    b += GEMM_UNROLL_N * k   * COMPSIZE;
    c += GEMM_UNROLL_N * ldc * COMPSIZE;
    j --;
    jj += GEMM_UNROLL_M;
  }
  
  if (n & (GEMM_UNROLL_N - 1)) {

    j = (GEMM_UNROLL_N >> 1);
    while (j > 0) {
      if (n & j) {
	
	aa = a;
	cc = c;
	
	i = (m >> GEMM_UNROLL_M_SHIFT);
	
	while (i > 0) {
	  if (kk > 0) {
	    GEMM_KERNEL(GEMM_UNROLL_M, j, kk, dm1, 
#ifdef COMPLEX
			ZERO,
#endif
			aa,
			b, 
			cc,
			ldc); 
	  }

	  solve(GEMM_UNROLL_M, j, 
		aa + kk * GEMM_UNROLL_M * COMPSIZE, 
		b  + kk * j             * COMPSIZE, cc, ldc);

	  aa += GEMM_UNROLL_M * k * COMPSIZE;
	  cc += GEMM_UNROLL_M     * COMPSIZE;
	  i --;
	}
	
	if (m & (GEMM_UNROLL_M - 1)) {
	  i = (GEMM_UNROLL_M >> 1);
	  while (i > 0) {
	    if (m & i) {
	      if (kk > 0) {
		GEMM_KERNEL(i, j, kk, dm1, 
#ifdef COMPLEX
			    ZERO,
#endif
			    aa,
			    b, 
			    cc,
			    ldc); 
	      }

	      solve(i, j, 
		    aa + kk * i * COMPSIZE, 
		    b  + kk * j * COMPSIZE, cc, ldc);

	      aa += i * k * COMPSIZE;
	      cc += i     * COMPSIZE;
	      }
	    i >>= 1;
	  }
	}
	
	b += j * k   * COMPSIZE;
	c += j * ldc * COMPSIZE;
	kk += j;
      }
      j >>= 1;
    }
  }

  return 0;
}