trmv_thread.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:                                               */
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/*      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,    */
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/*    MERCHANTABILITY  AND FITNESS FOR  A PARTICULAR  PURPOSE ARE    */
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/* interpreted as representing official policies, either expressed   */
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/*********************************************************************/

#include <stdio.h>
#include <stdlib.h>
#include "common.h"
#include "symcopy.h"

#ifndef COMPLEX
#ifndef TRANSA
#define MYGEMV	GEMV_N
#undef TRANS
#else
#define MYGEMV	GEMV_T
#define TRANS
#endif
#define MYDOT	DOTU_K
#define MYAXPY	AXPYU_K
#else
#if    TRANSA == 1
#define MYGEMV	GEMV_N
#undef TRANS
#define MYDOT	DOTU_K
#define MYAXPY	AXPYU_K
#elif  TRANSA == 2
#define MYGEMV	GEMV_T
#define TRANS
#define MYDOT	DOTU_K
#define MYAXPY	AXPYU_K
#elif  TRANSA == 3
#define MYGEMV	GEMV_R
#undef TRANS
#define MYDOT	DOTC_K
#define MYAXPY	AXPYC_K
#else
#define MYGEMV	GEMV_C
#define TRANS
#define MYDOT	DOTC_K
#define MYAXPY	AXPYC_K
#endif
#endif

static int trmv_kernel(blas_arg_t *args, BLASLONG *range_m, BLASLONG *range_n, FLOAT *dummy1, FLOAT *buffer, BLASLONG pos){

  FLOAT *a, *x, *y;

  BLASLONG lda, incx;
  BLASLONG m_from, m_to;
  BLASLONG i, is, min_i;

#ifdef TRANS
#ifndef COMPLEX
  FLOAT          result;
#else
  OPENBLAS_COMPLEX_FLOAT result;
#endif
#endif

#if defined(COMPLEX) && !defined(UNIT)
  FLOAT ar, ai, xr, xi;
#endif

  a = (FLOAT *)args -> a;
  x = (FLOAT *)args -> b;
  y = (FLOAT *)args -> c;

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

  m_from = 0;
  m_to   = args -> m;

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

  if (incx != 1) {

#ifndef LOWER
    COPY_K(m_to, x, incx, buffer, 1);
#else
    COPY_K(args -> m - m_from, x + m_from * incx * COMPSIZE, incx, buffer + m_from * COMPSIZE, 1);
#endif

    x = buffer;
    buffer += ((COMPSIZE * args -> m + 3) & ~3);
  }

#ifndef TRANS
  if (range_n) y += *range_n * COMPSIZE;

#ifndef LOWER
  SCAL_K(m_to, 0, 0, ZERO,
#ifdef COMPLEX
	 ZERO,
#endif
	 y, 1, NULL, 0, NULL, 0);
#else
  SCAL_K(args -> m - m_from, 0, 0, ZERO,
#ifdef COMPLEX
	 ZERO,
#endif
	 y + m_from * COMPSIZE, 1, NULL, 0, NULL, 0);
#endif

#else

  SCAL_K(m_to - m_from, 0, 0, ZERO,
#ifdef COMPLEX
	 ZERO,
#endif
	 y + m_from * COMPSIZE, 1, NULL, 0, NULL, 0);

#endif

  for (is = m_from; is < m_to; is += DTB_ENTRIES){

    min_i = MIN(m_to - is, DTB_ENTRIES);

#ifndef LOWER
    if (is > 0){
      MYGEMV(is, min_i, 0,
	     ONE,
#ifdef COMPLEX
	     ZERO,
#endif
	     a + is * lda * COMPSIZE, lda,
#ifndef TRANS
	     x + is * COMPSIZE, 1,
	     y,                 1,
#else
	     x,                 1,
	     y + is * COMPSIZE, 1,
#endif
	     buffer);
    }
#endif

    for (i = is; i < is + min_i; i++) {

#ifndef LOWER
      if (i - is > 0) {
#ifndef TRANS
	MYAXPY(i - is, 0, 0,
		*(x + i * COMPSIZE + 0),
#ifdef COMPLEX
		*(x + i * COMPSIZE + 1),
#endif
		a + (is + i * lda) * COMPSIZE, 1, y + is * COMPSIZE, 1, NULL, 0);
#else

	result = MYDOT(i - is,  a + (is + i * lda) * COMPSIZE, 1, x + is * COMPSIZE, 1);

#ifndef COMPLEX
	*(y + i * COMPSIZE + 0) += result;
#else
	*(y + i * COMPSIZE + 0) += CREAL(result);
	*(y + i * COMPSIZE + 1) += CIMAG(result);
#endif

#endif
      }
#endif

#ifndef COMPLEX
#ifdef UNIT
      *(y + i * COMPSIZE) += *(x + i * COMPSIZE);
#else
      *(y + i * COMPSIZE) += *(a + (i + i * lda) * COMPSIZE) * *(x + i * COMPSIZE);
#endif
#else
#ifdef UNIT
      *(y + i * COMPSIZE + 0) += *(x + i * COMPSIZE + 0);
      *(y + i * COMPSIZE + 1) += *(x + i * COMPSIZE + 1);
#else
      ar = *(a + (i + i * lda) * COMPSIZE + 0);
      ai = *(a + (i + i * lda) * COMPSIZE + 1);
      xr = *(x +  i            * COMPSIZE + 0);
      xi = *(x +  i            * COMPSIZE + 1);

#if (TRANSA == 1) || (TRANSA == 2)
      *(y + i * COMPSIZE + 0) += ar * xr - ai * xi;
      *(y + i * COMPSIZE + 1) += ar * xi + ai * xr;
#else
      *(y + i * COMPSIZE + 0) += ar * xr + ai * xi;
      *(y + i * COMPSIZE + 1) += ar * xi - ai * xr;
#endif
#endif
#endif

#ifdef LOWER
      if (is + min_i > i + 1) {
#ifndef TRANS
	MYAXPY(is + min_i - i - 1, 0, 0,
		*(x + i * COMPSIZE + 0),
#ifdef COMPLEX
		*(x + i * COMPSIZE + 1),
#endif
		a + (i + 1 + i * lda) * COMPSIZE, 1, y + (i + 1) * COMPSIZE, 1, NULL, 0);
#else

	result = MYDOT(is + min_i - i - 1, a + (i + 1 + i * lda) * COMPSIZE, 1, x + (i + 1) * COMPSIZE, 1);

#ifndef COMPLEX
	*(y + i * COMPSIZE + 0) += result;
#else
	*(y + i * COMPSIZE + 0) += CREAL(result);
	*(y + i * COMPSIZE + 1) += CIMAG(result);
#endif

#endif
      }
#endif
    }

#ifdef LOWER
    if (args -> m >  is + min_i){
      MYGEMV(args -> m - is - min_i, min_i, 0,
	     ONE,
#ifdef COMPLEX
	     ZERO,
#endif
	     a + (is + min_i + is * lda) * COMPSIZE, lda,
#ifndef TRANS
	     x +  is          * COMPSIZE, 1,
	     y + (is + min_i) * COMPSIZE, 1,
#else
	     x + (is + min_i) * COMPSIZE, 1,
	     y +  is          * COMPSIZE, 1,
#endif
	     buffer);
    }
#endif
  }

  return 0;
}

#ifndef COMPLEX
int CNAME(BLASLONG m, FLOAT *a, BLASLONG lda, FLOAT *x, BLASLONG incx, FLOAT *buffer, int nthreads){
#else
int CNAME(BLASLONG m, FLOAT *a, BLASLONG lda, FLOAT *x, BLASLONG incx, FLOAT *buffer, int nthreads){
#endif

  blas_arg_t args;
  blas_queue_t queue[MAX_CPU_NUMBER];
  BLASLONG range_m[MAX_CPU_NUMBER + 1];
  BLASLONG range_n[MAX_CPU_NUMBER + 1];

  BLASLONG width, i, num_cpu;

  double dnum;
  int mask = 7;

#ifdef SMP
#ifndef COMPLEX
#ifdef XDOUBLE
  int mode  =  BLAS_XDOUBLE | BLAS_REAL;
#elif defined(DOUBLE)
  int mode  =  BLAS_DOUBLE  | BLAS_REAL;
#else
  int mode  =  BLAS_SINGLE  | BLAS_REAL;
#endif
#else
#ifdef XDOUBLE
  int mode  =  BLAS_XDOUBLE | BLAS_COMPLEX;
#elif defined(DOUBLE)
  int mode  =  BLAS_DOUBLE  | BLAS_COMPLEX;
#else
  int mode  =  BLAS_SINGLE  | BLAS_COMPLEX;
#endif
#endif
#endif

  args.m = m;

  args.a = (void *)a;
  args.b = (void *)x;
  args.c = (void *)(buffer);

  args.lda = lda;
  args.ldb = incx;
  args.ldc = incx;

  dnum = (double)m * (double)m / (double)nthreads;
  num_cpu  = 0;

#ifndef LOWER

  range_m[MAX_CPU_NUMBER] = m;
  i          = 0;

  while (i < m){

    if (nthreads - num_cpu > 1) {

      double di = (double)(m - i);
      if (di * di - dnum > 0) {
	width = ((BLASLONG)(-sqrt(di * di - dnum) + di) + mask) & ~mask;
      } else {
	width = m - i;
      }

      if (width < 16) width = 16;
      if (width > m - i) width = m - i;

    } else {
      width = m - i;
    }

    range_m[MAX_CPU_NUMBER - num_cpu - 1] = range_m[MAX_CPU_NUMBER - num_cpu] - width;
    range_n[num_cpu] = num_cpu * (((m + 15) & ~15) + 16);
    if (range_n[num_cpu] > m) range_n[num_cpu] = m;

    queue[num_cpu].mode    = mode;
    queue[num_cpu].routine = trmv_kernel;
    queue[num_cpu].args    = &args;
    queue[num_cpu].range_m = &range_m[MAX_CPU_NUMBER - num_cpu - 1];
    queue[num_cpu].range_n = &range_n[num_cpu];
    queue[num_cpu].sa      = NULL;
    queue[num_cpu].sb      = NULL;
    queue[num_cpu].next    = &queue[num_cpu + 1];

    num_cpu ++;
    i += width;
  }

#else

  range_m[0] = 0;
  i          = 0;

  while (i < m){

    if (nthreads - num_cpu > 1) {

      double di = (double)(m - i);
      if (di * di - dnum > 0) {
	width = ((BLASLONG)(-sqrt(di * di - dnum) + di) + mask) & ~mask;
      } else {
	width = m - i;
      }

      if (width < 16) width = 16;
      if (width > m - i) width = m - i;

    } else {
      width = m - i;
    }

    range_m[num_cpu + 1] = range_m[num_cpu] + width;
    range_n[num_cpu] = num_cpu * (((m + 15) & ~15) + 16);
    if (range_n[num_cpu] > m) range_n[num_cpu] = m;

    queue[num_cpu].mode    = mode;
    queue[num_cpu].routine = trmv_kernel;
    queue[num_cpu].args    = &args;
    queue[num_cpu].range_m = &range_m[num_cpu];
    queue[num_cpu].range_n = &range_n[num_cpu];
    queue[num_cpu].sa      = NULL;
    queue[num_cpu].sb      = NULL;
    queue[num_cpu].next    = &queue[num_cpu + 1];

    num_cpu ++;
    i += width;
  }

#endif

  if (num_cpu) {
    queue[0].sa = NULL;
    queue[0].sb = buffer + num_cpu * (((m + 3) & ~3) + 16) * COMPSIZE;

    queue[num_cpu - 1].next = NULL;

    exec_blas(num_cpu, queue);
  }

#ifndef TRANS
  for (i = 1; i < num_cpu; i ++) {

#ifndef LOWER

    AXPYU_K(range_m[MAX_CPU_NUMBER - i], 0, 0, ONE,
#ifdef COMPLEX
	    ZERO,
#endif
	    buffer + range_n[i] * COMPSIZE, 1, buffer, 1, NULL, 0);

#else

    AXPYU_K(m - range_m[i], 0, 0, ONE,
#ifdef COMPLEX
	    ZERO,
#endif
	    buffer + (range_n[i] + range_m[i]) * COMPSIZE, 1, buffer + range_m[i] * COMPSIZE, 1, NULL, 0);

#endif

  }
#endif

  COPY_K(m, buffer, 1, x, incx);

  return 0;
}