/*********************************************************************/
/* 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, */
/* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES */
/* (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE */
/* GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR */
/* BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF */
/* LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT */
/* (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT */
/* OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE */
/* POSSIBILITY OF SUCH DAMAGE. */
/* */
/* The views and conclusions contained in the software and */
/* 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 <stdio.h>
#include <stdlib.h>
#include "common.h"
#include "symcopy.h"
#ifndef COMPLEX
#ifndef TRANSA
#undef TRANS
#else
#define TRANS
#endif
#define MYDOT DOTU_K
#define MYAXPY AXPYU_K
#else
#if TRANSA == 1
#undef TRANS
#define MYDOT DOTU_K
#define MYAXPY AXPYU_K
#elif TRANSA == 2
#define TRANS
#define MYDOT DOTU_K
#define MYAXPY AXPYU_K
#elif TRANSA == 3
#undef TRANS
#define MYDOT DOTC_K
#define MYAXPY AXPYC_K
#else
#define TRANS
#define MYDOT DOTC_K
#define MYAXPY AXPYC_K
#endif
#endif
static int tpmv_kernel(blas_arg_t *args, BLASLONG *range_m, BLASLONG *range_n, FLOAT *dummy1, FLOAT *buffer, BLASLONG pos){
FLOAT *a, *x, *y;
BLASLONG incx;
BLASLONG m_from, m_to;
BLASLONG i;
#ifdef TRANS
#ifndef COMPLEX
FLOAT result;
#else
FLOAT _Complex 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;
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 + 1023) & ~1023);
}
#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
#ifndef LOWER
a += (m_from + 1) * m_from / 2 * COMPSIZE;
#else
a += (2 * args -> m - m_from - 1) * m_from / 2 * COMPSIZE;
#endif
for (i = m_from; i < m_to; i++) {
#ifndef LOWER
if (i > 0) {
#ifndef TRANS
MYAXPY(i, 0, 0,
*(x + i * COMPSIZE + 0),
#ifdef COMPLEX
*(x + i * COMPSIZE + 1),
#endif
a, 1, y, 1, NULL, 0);
#else
result = MYDOT(i, a, 1, x, 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 * 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 * COMPSIZE + 0);
ai = *(a + i * 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 (args -> m > i + 1) {
#ifndef TRANS
MYAXPY(args -> m - i - 1, 0, 0,
*(x + i * COMPSIZE + 0),
#ifdef COMPLEX
*(x + i * COMPSIZE + 1),
#endif
a + (i + 1 ) * COMPSIZE, 1, y + (i + 1) * COMPSIZE, 1, NULL, 0);
#else
result = MYDOT(args -> m - i - 1, a + (i + 1) * 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
#ifndef LOWER
a += (i + 1) * COMPSIZE;
#else
a += (args -> m - i - 1) * COMPSIZE;
#endif
}
return 0;
}
#ifndef COMPLEX
int CNAME(BLASLONG m, FLOAT *a, FLOAT *x, BLASLONG incx, FLOAT *buffer, int nthreads){
#else
int CNAME(BLASLONG m, FLOAT *a, 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];
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.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);
queue[num_cpu].mode = mode;
queue[num_cpu].routine = tpmv_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);
queue[num_cpu].mode = mode;
queue[num_cpu].routine = tpmv_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 + 255) & ~255) + 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;
}