OpenBLAS/kernel/x86_64/dtrsm_kernel_RT_bulldozer.c

/*********************************************************************/
/* Copyright 2009, 2010 The University of Texas at Austin.           */
/* All rights reserved.                                              */
/*                                                                   */
/* Redistribution and use in source and binary forms, with or        */
/* without modification, are permitted provided that the following   */
/* conditions are met:                                               */
/*                                                                   */
/*   1. Redistributions of source code must retain the above         */
/*      copyright notice, this list of conditions and the following  */
/*      disclaimer.                                                  */
/*                                                                   */
/*   2. Redistributions in binary form must reproduce the above      */
/*      copyright notice, this list of conditions and the following  */
/*      disclaimer in the documentation and/or other materials       */
/*      provided with the distribution.                              */
/*                                                                   */
/*    THIS  SOFTWARE IS PROVIDED  BY THE  UNIVERSITY OF  TEXAS AT    */
/*    AUSTIN  ``AS IS''  AND ANY  EXPRESS OR  IMPLIED WARRANTIES,    */
/*    INCLUDING, BUT  NOT LIMITED  TO, THE IMPLIED  WARRANTIES OF    */
/*    MERCHANTABILITY  AND FITNESS FOR  A PARTICULAR  PURPOSE ARE    */
/*    DISCLAIMED.  IN  NO EVENT SHALL THE UNIVERSITY  OF TEXAS AT    */
/*    AUSTIN OR CONTRIBUTORS BE  LIABLE FOR ANY DIRECT, INDIRECT,    */
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/*                                                                   */
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/* documentation are those of the authors and should not be          */
/* interpreted as representing official policies, either expressed   */
/* or implied, of The University of Texas at Austin.                 */
/*********************************************************************/

#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 == 6
#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



static void dtrsm_RT_solve_opt(BLASLONG n, FLOAT *a, FLOAT *b, FLOAT *c, BLASLONG ldc, FLOAT *as, FLOAT *bs)  __attribute__ ((noinline));

static void dtrsm_RT_solve_opt(BLASLONG n, FLOAT *a, FLOAT *b, FLOAT *c, BLASLONG ldc, FLOAT *as, FLOAT *bs)
{

	FLOAT *c1 = c + ldc ;
	BLASLONG n1 = n * 8;
	BLASLONG i=0;

  	as += (2 - 1) * 8;
  	bs += (2 - 1) * 2;

        __asm__  __volatile__
        (
	"	vzeroupper							\n\t"
	"	prefetcht0	(%4)						\n\t"
	"	prefetcht0	(%5)						\n\t"
	"	vxorpd	%%xmm8 , %%xmm8 , %%xmm8				\n\t"
	"	vxorpd	%%xmm9 , %%xmm9 , %%xmm9				\n\t"
	"	vxorpd	%%xmm10, %%xmm10, %%xmm10				\n\t"
	"	vxorpd	%%xmm11, %%xmm11, %%xmm11				\n\t"
	"	vxorpd	%%xmm12, %%xmm12, %%xmm12				\n\t"
	"	vxorpd	%%xmm13, %%xmm13, %%xmm13				\n\t"
	"	vxorpd	%%xmm14, %%xmm14, %%xmm14				\n\t"
	"	vxorpd	%%xmm15, %%xmm15, %%xmm15				\n\t"

	"	cmpq	       $0, %0						\n\t"
	"	je	       2f						\n\t"

	"	.align 16							\n\t"
	"1:									\n\t"

	"	prefetcht0	384(%6,%1,8)					\n\t"
	"	prefetcht0	384(%7,%1,8)					\n\t"
	"	vmovddup	(%7,%1,2), %%xmm0				\n\t"	// read b
	"	vmovups         (%6,%1,8), %%xmm4				\n\t"
	"	vmovddup       8(%7,%1,2), %%xmm1				\n\t"	
	"	vmovups       16(%6,%1,8), %%xmm5				\n\t"
	"	vmovups       32(%6,%1,8), %%xmm6				\n\t"
	"	vmovups       48(%6,%1,8), %%xmm7				\n\t"

	"	vfmaddpd	%%xmm8 , %%xmm0 , %%xmm4 , %%xmm8		\n\t"
	"	vfmaddpd	%%xmm12, %%xmm1 , %%xmm4 , %%xmm12		\n\t"
	"	vfmaddpd	%%xmm9 , %%xmm0 , %%xmm5 , %%xmm9		\n\t"
	"	vfmaddpd	%%xmm13, %%xmm1 , %%xmm5 , %%xmm13		\n\t"
	"	vfmaddpd	%%xmm10, %%xmm0 , %%xmm6 , %%xmm10		\n\t"
	"	vfmaddpd	%%xmm14, %%xmm1 , %%xmm6 , %%xmm14		\n\t"
	"	addq		$8, %1						\n\t"
	"	vfmaddpd	%%xmm11, %%xmm0 , %%xmm7 , %%xmm11		\n\t"
	"	vfmaddpd	%%xmm15, %%xmm1 , %%xmm7 , %%xmm15		\n\t"
	"	cmpq		%1, %0						\n\t"

	"	jz		2f						\n\t"

	"	prefetcht0	384(%6,%1,8)					\n\t"
	"	vmovddup	(%7,%1,2), %%xmm0				\n\t"	// read b
	"	vmovups         (%6,%1,8), %%xmm4				\n\t"
	"	vmovddup       8(%7,%1,2), %%xmm1				\n\t"	
	"	vmovups       16(%6,%1,8), %%xmm5				\n\t"
	"	vmovups       32(%6,%1,8), %%xmm6				\n\t"
	"	vmovups       48(%6,%1,8), %%xmm7				\n\t"

	"	vfmaddpd	%%xmm8 , %%xmm0 , %%xmm4 , %%xmm8		\n\t"
	"	vfmaddpd	%%xmm12, %%xmm1 , %%xmm4 , %%xmm12		\n\t"
	"	vfmaddpd	%%xmm9 , %%xmm0 , %%xmm5 , %%xmm9		\n\t"
	"	vfmaddpd	%%xmm13, %%xmm1 , %%xmm5 , %%xmm13		\n\t"
	"	vfmaddpd	%%xmm10, %%xmm0 , %%xmm6 , %%xmm10		\n\t"
	"	vfmaddpd	%%xmm14, %%xmm1 , %%xmm6 , %%xmm14		\n\t"
	"	addq		$8, %1						\n\t"
	"	vfmaddpd	%%xmm11, %%xmm0 , %%xmm7 , %%xmm11		\n\t"
	"	vfmaddpd	%%xmm15, %%xmm1 , %%xmm7 , %%xmm15		\n\t"
	"	cmpq		%1, %0						\n\t"

	"	jz		2f						\n\t"

	"	prefetcht0	384(%6,%1,8)					\n\t"
	"	vmovddup	(%7,%1,2), %%xmm0				\n\t"	// read b
	"	vmovups         (%6,%1,8), %%xmm4				\n\t"
	"	vmovddup       8(%7,%1,2), %%xmm1				\n\t"	
	"	vmovups       16(%6,%1,8), %%xmm5				\n\t"
	"	vmovups       32(%6,%1,8), %%xmm6				\n\t"
	"	vmovups       48(%6,%1,8), %%xmm7				\n\t"

	"	vfmaddpd	%%xmm8 , %%xmm0 , %%xmm4 , %%xmm8		\n\t"
	"	vfmaddpd	%%xmm12, %%xmm1 , %%xmm4 , %%xmm12		\n\t"
	"	vfmaddpd	%%xmm9 , %%xmm0 , %%xmm5 , %%xmm9		\n\t"
	"	vfmaddpd	%%xmm13, %%xmm1 , %%xmm5 , %%xmm13		\n\t"
	"	vfmaddpd	%%xmm10, %%xmm0 , %%xmm6 , %%xmm10		\n\t"
	"	vfmaddpd	%%xmm14, %%xmm1 , %%xmm6 , %%xmm14		\n\t"
	"	addq		$8, %1						\n\t"
	"	vfmaddpd	%%xmm11, %%xmm0 , %%xmm7 , %%xmm11		\n\t"
	"	vfmaddpd	%%xmm15, %%xmm1 , %%xmm7 , %%xmm15		\n\t"
	"	cmpq		%1, %0						\n\t"

	"	jz		2f						\n\t"

	"	prefetcht0	384(%6,%1,8)					\n\t"
	"	vmovddup	(%7,%1,2), %%xmm0				\n\t"	// read b
	"	vmovddup       8(%7,%1,2), %%xmm1				\n\t"	
	"	vmovups         (%6,%1,8), %%xmm4				\n\t"
	"	vmovups       16(%6,%1,8), %%xmm5				\n\t"
	"	vmovups       32(%6,%1,8), %%xmm6				\n\t"
	"	vmovups       48(%6,%1,8), %%xmm7				\n\t"

	"	vfmaddpd	%%xmm8 , %%xmm0 , %%xmm4 , %%xmm8		\n\t"
	"	vfmaddpd	%%xmm12, %%xmm1 , %%xmm4 , %%xmm12		\n\t"
	"	vfmaddpd	%%xmm9 , %%xmm0 , %%xmm5 , %%xmm9		\n\t"
	"	vfmaddpd	%%xmm13, %%xmm1 , %%xmm5 , %%xmm13		\n\t"
	"	vfmaddpd	%%xmm10, %%xmm0 , %%xmm6 , %%xmm10		\n\t"
	"	vfmaddpd	%%xmm14, %%xmm1 , %%xmm6 , %%xmm14		\n\t"
	"	addq		$8, %1						\n\t"
	"	vfmaddpd	%%xmm11, %%xmm0 , %%xmm7 , %%xmm11		\n\t"
	"	vfmaddpd	%%xmm15, %%xmm1 , %%xmm7 , %%xmm15		\n\t"
	"	cmpq		%1, %0						\n\t"

	"	jnz		1b						\n\t"

	"2:									\n\t"


	"	vmovups		  (%4) , %%xmm0					\n\t"
	"	vmovups		16(%4) , %%xmm1					\n\t"
	"	vmovups		32(%4) , %%xmm2					\n\t"
	"	vmovups		48(%4) , %%xmm3					\n\t"

	"	vmovups		  (%5) , %%xmm4					\n\t"
	"	vmovups		16(%5) , %%xmm5					\n\t"
	"	vmovups		32(%5) , %%xmm6					\n\t"
	"	vmovups		48(%5) , %%xmm7					\n\t"

	"	vsubpd		%%xmm8 , %%xmm0 , %%xmm8			\n\t"
	"	vsubpd		%%xmm9 , %%xmm1 , %%xmm9			\n\t"
	"	vsubpd		%%xmm10, %%xmm2 , %%xmm10			\n\t"
	"	vsubpd		%%xmm11, %%xmm3 , %%xmm11			\n\t"

	"	vsubpd		%%xmm12, %%xmm4 , %%xmm12			\n\t"
	"	vsubpd		%%xmm13, %%xmm5 , %%xmm13			\n\t"
	"	vsubpd		%%xmm14, %%xmm6 , %%xmm14			\n\t"
	"	vsubpd		%%xmm15, %%xmm7 , %%xmm15			\n\t"

	"3:									\n\t"	// i = 1

	"	vmovddup	(%3), %%xmm1					\n\t"	// read b
	"	vmovddup       8(%3), %%xmm0					\n\t"	// read bb

	"	vmulpd		%%xmm12 ,  %%xmm0 ,  %%xmm12			\n\t"	// aa * bb 
	"	vmulpd		%%xmm13 ,  %%xmm0 ,  %%xmm13			\n\t"	// aa * bb 
	"	vmulpd		%%xmm14 ,  %%xmm0 ,  %%xmm14			\n\t"	// aa * bb 
	"	vmulpd		%%xmm15 ,  %%xmm0 ,  %%xmm15			\n\t"	// aa * bb 

	"	vmovups		%%xmm12 ,    (%2)				\n\t"	// write a
	"	vmovups		%%xmm13 ,  16(%2)				\n\t"	// write a
	"	vmovups		%%xmm14 ,  32(%2)				\n\t"	// write a
	"	vmovups		%%xmm15 ,  48(%2)				\n\t"	// write a

	"	vmovups		%%xmm12 ,    (%5)				\n\t"	// write c1
	"	vmovups		%%xmm13 ,  16(%5)				\n\t"	
	"	vmovups		%%xmm14 ,  32(%5)				\n\t"	
	"	vmovups		%%xmm15 ,  48(%5)				\n\t"	

	"	vfnmaddpd	%%xmm8  ,  %%xmm12 , %%xmm1 , %%xmm8		\n\t"  // c = c - aa * b 
	"	vfnmaddpd	%%xmm9  ,  %%xmm13 , %%xmm1 , %%xmm9		\n\t"   
	"	vfnmaddpd	%%xmm10 ,  %%xmm14 , %%xmm1 , %%xmm10		\n\t"   
	"	vfnmaddpd	%%xmm11 ,  %%xmm15 , %%xmm1 , %%xmm11		\n\t"   

	"									\n\t" // i = 0
	"	subq		$16 , %3					\n\t" // b = b - 2
	"	subq		$64 , %2					\n\t" // a = a - 8

	"	vmovddup        (%3), %%xmm0					\n\t"	// read bb

	"	vmulpd		%%xmm8  ,  %%xmm0 ,  %%xmm8 			\n\t"	// aa * bb 
	"	vmulpd		%%xmm9  ,  %%xmm0 ,  %%xmm9 			\n\t"
	"	vmulpd		%%xmm10 ,  %%xmm0 ,  %%xmm10			\n\t"
	"	vmulpd		%%xmm11 ,  %%xmm0 ,  %%xmm11			\n\t"

	"	vmovups		%%xmm8  ,    (%2)				\n\t"	// write a
	"	vmovups		%%xmm9  ,  16(%2)				\n\t"
	"	vmovups		%%xmm10 ,  32(%2)				\n\t"
	"	vmovups		%%xmm11 ,  48(%2)				\n\t"

	"	vmovups		%%xmm8  ,    (%4)				\n\t"	// write c0
	"	vmovups		%%xmm9  ,  16(%4)				\n\t"
	"	vmovups		%%xmm10 ,  32(%4)				\n\t"
	"	vmovups		%%xmm11 ,  48(%4)				\n\t"

	"	vzeroupper							\n\t"

        :
          "+r" (n1),     // 0    
          "+a" (i),      // 1    
          "+r" (as),     // 2
          "+r" (bs)      // 3
        :
          "r" (c),      // 4
          "r" (c1),     // 5
          "r" (a),      // 6
          "r" (b)       // 7
        : "cc",
          "%xmm0", "%xmm1", "%xmm2", "%xmm3",
          "%xmm4", "%xmm5", "%xmm6", "%xmm7",
          "%xmm8", "%xmm9", "%xmm10", "%xmm11",
          "%xmm12", "%xmm13", "%xmm14", "%xmm15",
          "memory"
        );

}




#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;

  a += (n - 1) * m;
  b += (n - 1) * n;

  for (i = n - 1; i >= 0; 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 = 0; k < i; k ++){
	*(c + j + k * ldc) -= aa * *(b + k);
      }

    }
    b -= n;
    a -= 2 * m;
  }

}

#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;

  a += (n - 1) * m * 2;
  b += (n - 1) * n * 2;

  for (i = n - 1; i >= 0; 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 = 0; k < i; 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;
    a -= 4 * m;
  }

}

#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){

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

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

  kk = n - offset;
  c += n * ldc * COMPSIZE;
  b += n * k   * COMPSIZE;

  if (n & (GEMM_UNROLL_N - 1)) {

    j = 1;
    while (j < GEMM_UNROLL_N) {
      if (n & j) {

	aa  = a;
	b -= j * k  * COMPSIZE;
	c -= j * ldc* COMPSIZE;
	cc  = c;

	i = (m >> GEMM_UNROLL_M_SHIFT);
	if (i > 0) {

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

	    solve(GEMM_UNROLL_M, j,
		  aa + (kk - j) * GEMM_UNROLL_M * COMPSIZE,
		  b  + (kk - j) * j             * 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);
	  do {
	    if (m & i) {

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

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

	      aa += i * k * COMPSIZE;
	      cc += i     * COMPSIZE;

	    }
	    i >>= 1;
	  } while (i > 0);
	}
	kk -= j;
      }
      j <<= 1;
    }
  }

  j = (n >> GEMM_UNROLL_N_SHIFT);

  if (j > 0) {

    do {
      aa  = a;
      b -= GEMM_UNROLL_N * k   * COMPSIZE;
      c -= GEMM_UNROLL_N * ldc * COMPSIZE;
      cc  = c;

      i = (m >> GEMM_UNROLL_M_SHIFT);
      if (i > 0) {
	do {

	  dtrsm_RT_solve_opt(k - kk, aa + GEMM_UNROLL_M * kk * COMPSIZE, b  + GEMM_UNROLL_N * kk * COMPSIZE, cc, ldc,
                            aa + (kk - GEMM_UNROLL_N) * GEMM_UNROLL_M * COMPSIZE , b  + (kk - GEMM_UNROLL_N) * GEMM_UNROLL_N * COMPSIZE );

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

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

	    aa += i * k * COMPSIZE;
	    cc += i     * COMPSIZE;
	  }
	  i >>= 1;
	} while (i > 0);
      }

      kk -= GEMM_UNROLL_N;
      j --;
    } while (j > 0);
  }

  return 0;
}