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OpenBLAS/lapack/getrf/getrf_parallel.c

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/*********************************************************************/
/* 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 "common.h"
static FLOAT dm1 = -1.;
double sqrt(double);
//In this case, the recursive getrf_parallel may overflow the stack.
//Instead, use malloc to alloc job_t.
#if MAX_CPU_NUMBER > GETRF_MEM_ALLOC_THRESHOLD
#define USE_ALLOC_HEAP
#endif
#ifndef CACHE_LINE_SIZE
#define CACHE_LINE_SIZE 8
#endif
#ifndef DIVIDE_RATE
#define DIVIDE_RATE 2
#endif
#define GEMM_PQ MAX(GEMM_P, GEMM_Q)
#define REAL_GEMM_R (GEMM_R - GEMM_PQ)
#ifndef GETRF_FACTOR
#define GETRF_FACTOR 0.75
#endif
#undef GETRF_FACTOR
#define GETRF_FACTOR 1.00
static __inline BLASLONG FORMULA1(BLASLONG M, BLASLONG N, BLASLONG IS, BLASLONG BK, BLASLONG T) {
double m = (double)(M - IS - BK);
double n = (double)(N - IS - BK);
double b = (double)BK;
double a = (double)T;
return (BLASLONG)((n + GETRF_FACTOR * m * b * (1. - a) / (b + m)) / a);
}
#define FORMULA2(M, N, IS, BK, T) (BLASLONG)((double)(N - IS + BK) * (1. - sqrt(1. - 1. / (double)(T))))
static void inner_basic_thread(blas_arg_t *args, BLASLONG *range_m, BLASLONG *range_n, FLOAT *sa, FLOAT *sb, BLASLONG mypos){
BLASLONG is, min_i;
BLASLONG js, min_j;
BLASLONG jjs, min_jj;
BLASLONG m = args -> m;
BLASLONG n = args -> n;
BLASLONG k = args -> k;
BLASLONG lda = args -> lda;
BLASLONG off = args -> ldb;
FLOAT *b = (FLOAT *)args -> b + (k ) * COMPSIZE;
FLOAT *c = (FLOAT *)args -> b + ( k * lda) * COMPSIZE;
FLOAT *d = (FLOAT *)args -> b + (k + k * lda) * COMPSIZE;
FLOAT *sbb = sb;
volatile BLASLONG *flag = (volatile BLASLONG *)args -> d;
blasint *ipiv = (blasint *)args -> c;
if (range_n) {
n = range_n[1] - range_n[0];
c += range_n[0] * lda * COMPSIZE;
d += range_n[0] * lda * COMPSIZE;
}
if (args -> a == NULL) {
TRSM_ILTCOPY(k, k, (FLOAT *)args -> b, lda, 0, sb);
sbb = (FLOAT *)((((BLASULONG)(sb + k * k * COMPSIZE) + GEMM_ALIGN) & ~GEMM_ALIGN) + GEMM_OFFSET_B);
} else {
sb = (FLOAT *)args -> a;
}
for (js = 0; js < n; js += REAL_GEMM_R) {
min_j = n - js;
if (min_j > REAL_GEMM_R) min_j = REAL_GEMM_R;
for (jjs = js; jjs < js + min_j; jjs += GEMM_UNROLL_N){
min_jj = js + min_j - jjs;
if (min_jj > GEMM_UNROLL_N) min_jj = GEMM_UNROLL_N;
if (0 && GEMM_UNROLL_N <= 8) {
LASWP_NCOPY(min_jj, off + 1, off + k,
c + (- off + jjs * lda) * COMPSIZE, lda,
ipiv, sbb + k * (jjs - js) * COMPSIZE);
} else {
LASWP_PLUS(min_jj, off + 1, off + k, ZERO,
#ifdef COMPLEX
ZERO,
#endif
c + (- off + jjs * lda) * COMPSIZE, lda, NULL, 0, ipiv, 1);
GEMM_ONCOPY (k, min_jj, c + jjs * lda * COMPSIZE, lda, sbb + (jjs - js) * k * COMPSIZE);
}
for (is = 0; is < k; is += GEMM_P) {
min_i = k - is;
if (min_i > GEMM_P) min_i = GEMM_P;
TRSM_KERNEL_LT(min_i, min_jj, k, dm1,
#ifdef COMPLEX
ZERO,
#endif
sb + k * is * COMPSIZE,
sbb + (jjs - js) * k * COMPSIZE,
c + (is + jjs * lda) * COMPSIZE, lda, is);
}
}
if ((js + REAL_GEMM_R >= n) && (mypos >= 0)) flag[mypos * CACHE_LINE_SIZE] = 0;
for (is = 0; is < m; is += GEMM_P){
min_i = m - is;
if (min_i > GEMM_P) min_i = GEMM_P;
GEMM_ITCOPY (k, min_i, b + is * COMPSIZE, lda, sa);
GEMM_KERNEL_N(min_i, min_j, k, dm1,
#ifdef COMPLEX
ZERO,
#endif
sa, sbb, d + (is + js * lda) * COMPSIZE, lda);
}
}
}
/* Non blocking implementation */
typedef struct {
volatile BLASLONG working[MAX_CPU_NUMBER][CACHE_LINE_SIZE * DIVIDE_RATE];
} job_t;
#define ICOPY_OPERATION(M, N, A, LDA, X, Y, BUFFER) GEMM_ITCOPY(M, N, (FLOAT *)(A) + ((Y) + (X) * (LDA)) * COMPSIZE, LDA, BUFFER);
#define OCOPY_OPERATION(M, N, A, LDA, X, Y, BUFFER) GEMM_ONCOPY(M, N, (FLOAT *)(A) + ((X) + (Y) * (LDA)) * COMPSIZE, LDA, BUFFER);
#ifndef COMPLEX
#define KERNEL_OPERATION(M, N, K, SA, SB, C, LDC, X, Y) \
GEMM_KERNEL_N(M, N, K, dm1, SA, SB, (FLOAT *)(C) + ((X) + (Y) * LDC) * COMPSIZE, LDC)
#else
#define KERNEL_OPERATION(M, N, K, SA, SB, C, LDC, X, Y) \
GEMM_KERNEL_N(M, N, K, dm1, ZERO, SA, SB, (FLOAT *)(C) + ((X) + (Y) * LDC) * COMPSIZE, LDC)
#endif
static int inner_advanced_thread(blas_arg_t *args, BLASLONG *range_m, BLASLONG *range_n, FLOAT *sa, FLOAT *sb, BLASLONG mypos){
job_t *job = (job_t *)args -> common;
BLASLONG xxx, bufferside;
FLOAT *buffer[DIVIDE_RATE];
BLASLONG jjs, min_jj, div_n;
BLASLONG i, current;
BLASLONG is, min_i;
BLASLONG m, n_from, n_to;
BLASLONG k = args -> k;
BLASLONG lda = args -> lda;
BLASLONG off = args -> ldb;
FLOAT *a = (FLOAT *)args -> b + (k ) * COMPSIZE;
FLOAT *b = (FLOAT *)args -> b + ( k * lda) * COMPSIZE;
FLOAT *c = (FLOAT *)args -> b + (k + k * lda) * COMPSIZE;
FLOAT *sbb= sb;
blasint *ipiv = (blasint *)args -> c;
volatile BLASLONG *flag = (volatile BLASLONG *)args -> d;
if (args -> a == NULL) {
TRSM_ILTCOPY(k, k, (FLOAT *)args -> b, lda, 0, sb);
sbb = (FLOAT *)((((BLASULONG)(sb + k * k * COMPSIZE) + GEMM_ALIGN) & ~GEMM_ALIGN) + GEMM_OFFSET_B);
} else {
sb = (FLOAT *)args -> a;
}
m = range_m[1] - range_m[0];
n_from = range_n[mypos + 0];
n_to = range_n[mypos + 1];
a += range_m[0] * COMPSIZE;
c += range_m[0] * COMPSIZE;
div_n = (n_to - n_from + DIVIDE_RATE - 1) / DIVIDE_RATE;
buffer[0] = sbb;
for (i = 1; i < DIVIDE_RATE; i++) {
buffer[i] = buffer[i - 1] + GEMM_Q * ((div_n + GEMM_UNROLL_N - 1) & ~(GEMM_UNROLL_N - 1)) * COMPSIZE;
}
for (xxx = n_from, bufferside = 0; xxx < n_to; xxx += div_n, bufferside ++) {
for (i = 0; i < args -> nthreads; i++)
while (job[mypos].working[i][CACHE_LINE_SIZE * bufferside]) {};
for(jjs = xxx; jjs < MIN(n_to, xxx + div_n); jjs += min_jj){
min_jj = MIN(n_to, xxx + div_n) - jjs;
if (min_jj > GEMM_UNROLL_N) min_jj = GEMM_UNROLL_N;
if (0 && GEMM_UNROLL_N <= 8) {
printf("helllo\n");
LASWP_NCOPY(min_jj, off + 1, off + k,
b + (- off + jjs * lda) * COMPSIZE, lda,
ipiv, buffer[bufferside] + (jjs - xxx) * k * COMPSIZE);
} else {
LASWP_PLUS(min_jj, off + 1, off + k, ZERO,
#ifdef COMPLEX
ZERO,
#endif
b + (- off + jjs * lda) * COMPSIZE, lda, NULL, 0, ipiv, 1);
GEMM_ONCOPY (k, min_jj, b + jjs * lda * COMPSIZE, lda,
buffer[bufferside] + (jjs - xxx) * k * COMPSIZE);
}
for (is = 0; is < k; is += GEMM_P) {
min_i = k - is;
if (min_i > GEMM_P) min_i = GEMM_P;
TRSM_KERNEL_LT(min_i, min_jj, k, dm1,
#ifdef COMPLEX
ZERO,
#endif
sb + k * is * COMPSIZE,
buffer[bufferside] + (jjs - xxx) * k * COMPSIZE,
b + (is + jjs * lda) * COMPSIZE, lda, is);
}
}
for (i = 0; i < args -> nthreads; i++)
job[mypos].working[i][CACHE_LINE_SIZE * bufferside] = (BLASLONG)buffer[bufferside];
}
flag[mypos * CACHE_LINE_SIZE] = 0;
if (m == 0) {
for (xxx = 0; xxx < DIVIDE_RATE; xxx++) {
job[mypos].working[mypos][CACHE_LINE_SIZE * xxx] = 0;
}
}
for(is = 0; is < m; is += min_i){
min_i = m - is;
if (min_i >= GEMM_P * 2) {
min_i = GEMM_P;
} else
if (min_i > GEMM_P) {
min_i = ((min_i + 1) / 2 + GEMM_UNROLL_M - 1) & ~(GEMM_UNROLL_M - 1);
}
ICOPY_OPERATION(k, min_i, a, lda, 0, is, sa);
current = mypos;
do {
div_n = (range_n[current + 1] - range_n[current] + DIVIDE_RATE - 1) / DIVIDE_RATE;
for (xxx = range_n[current], bufferside = 0; xxx < range_n[current + 1]; xxx += div_n, bufferside ++) {
if ((current != mypos) && (!is)) {
while(job[current].working[mypos][CACHE_LINE_SIZE * bufferside] == 0) {};
}
KERNEL_OPERATION(min_i, MIN(range_n[current + 1] - xxx, div_n), k,
sa, (FLOAT *)job[current].working[mypos][CACHE_LINE_SIZE * bufferside],
c, lda, is, xxx);
if (is + min_i >= m) {
job[current].working[mypos][CACHE_LINE_SIZE * bufferside] = 0;
}
}
current ++;
if (current >= args -> nthreads) current = 0;
} while (current != mypos);
}
for (i = 0; i < args -> nthreads; i++) {
for (xxx = 0; xxx < DIVIDE_RATE; xxx++) {
while (job[mypos].working[i][CACHE_LINE_SIZE * xxx] ) {};
}
}
return 0;
}
#if 1
blasint CNAME(blas_arg_t *args, BLASLONG *range_m, BLASLONG *range_n, FLOAT *sa, FLOAT *sb, BLASLONG myid) {
BLASLONG m, n, mn, lda, offset;
BLASLONG init_bk, next_bk, range_n_mine[2], range_n_new[2];
blasint *ipiv, iinfo, info;
int mode;
blas_arg_t newarg;
FLOAT *a, *sbb;
FLOAT dummyalpha[2] = {ZERO, ZERO};
blas_queue_t queue[MAX_CPU_NUMBER];
BLASLONG range_M[MAX_CPU_NUMBER + 1];
BLASLONG range_N[MAX_CPU_NUMBER + 1];
#ifndef USE_ALLOC_HEAP
job_t job[MAX_CPU_NUMBER];
#else
job_t * job=NULL;
#endif
BLASLONG width, nn, mm;
BLASLONG i, j, k, is, bk;
BLASLONG num_cpu;
#ifdef _MSC_VER
BLASLONG flag[MAX_CPU_NUMBER * CACHE_LINE_SIZE];
#else
volatile BLASLONG flag[MAX_CPU_NUMBER * CACHE_LINE_SIZE] __attribute__((aligned(128)));
#endif
#ifndef COMPLEX
#ifdef XDOUBLE
mode = BLAS_XDOUBLE | BLAS_REAL;
#elif defined(DOUBLE)
mode = BLAS_DOUBLE | BLAS_REAL;
#else
mode = BLAS_SINGLE | BLAS_REAL;
#endif
#else
#ifdef XDOUBLE
mode = BLAS_XDOUBLE | BLAS_COMPLEX;
#elif defined(DOUBLE)
mode = BLAS_DOUBLE | BLAS_COMPLEX;
#else
mode = BLAS_SINGLE | BLAS_COMPLEX;
#endif
#endif
m = args -> m;
n = args -> n;
a = (FLOAT *)args -> a;
lda = args -> lda;
ipiv = (blasint *)args -> c;
offset = 0;
if (range_n) {
m -= range_n[0];
n = range_n[1] - range_n[0];
offset = range_n[0];
a += range_n[0] * (lda + 1) * COMPSIZE;
}
if (m <= 0 || n <= 0) return 0;
newarg.c = ipiv;
newarg.lda = lda;
info = 0;
mn = MIN(m, n);
init_bk = (mn / 2 + GEMM_UNROLL_N - 1) & ~(GEMM_UNROLL_N - 1);
if (init_bk > GEMM_Q) init_bk = GEMM_Q;
if (init_bk <= GEMM_UNROLL_N) {
info = GETF2(args, NULL, range_n, sa, sb, 0);
return info;
}
next_bk = init_bk;
bk = mn;
if (bk > next_bk) bk = next_bk;
range_n_new[0] = offset;
range_n_new[1] = offset + bk;
iinfo = CNAME(args, NULL, range_n_new, sa, sb, 0);
if (iinfo && !info) info = iinfo;
#ifdef USE_ALLOC_HEAP
job = (job_t*)malloc(MAX_CPU_NUMBER * sizeof(job_t));
if(job==NULL){
fprintf(stderr, "OpenBLAS: malloc failed in %s\n", __func__);
exit(1);
}
#endif
newarg.common = (void *)job;
TRSM_ILTCOPY(bk, bk, a, lda, 0, sb);
sbb = (FLOAT *)((((BLASULONG)(sb + bk * bk * COMPSIZE) + GEMM_ALIGN) & ~GEMM_ALIGN) + GEMM_OFFSET_B);
is = 0;
num_cpu = 0;
while (is < mn) {
width = (FORMULA1(m, n, is, bk, args -> nthreads) + GEMM_UNROLL_N - 1) & ~(GEMM_UNROLL_N - 1);
if (width > mn - is - bk) width = mn - is - bk;
if (width < bk) {
next_bk = (FORMULA2(m, n, is, bk, args -> nthreads) + GEMM_UNROLL_N) & ~(GEMM_UNROLL_N - 1);
if (next_bk > bk) next_bk = bk;
width = next_bk;
if (width > mn - is - bk) width = mn - is - bk;
}
if (num_cpu > 0) exec_blas_async_wait(num_cpu, &queue[0]);
mm = m - bk - is;
nn = n - bk - is;
newarg.a = sb;
newarg.b = a + (is + is * lda) * COMPSIZE;
newarg.d = (void *)flag;
newarg.m = mm;
newarg.n = nn;
newarg.k = bk;
newarg.ldb = is + offset;
nn -= width;
range_n_mine[0] = 0;
range_n_mine[1] = width;
range_N[0] = width;
range_M[0] = 0;
num_cpu = 0;
while (nn > 0){
if (mm >= nn) {
width = blas_quickdivide(nn + args -> nthreads - num_cpu, args -> nthreads - num_cpu - 1);
if (nn < width) width = nn;
nn -= width;
range_N[num_cpu + 1] = range_N[num_cpu] + width;
width = blas_quickdivide(mm + args -> nthreads - num_cpu, args -> nthreads - num_cpu - 1);
if (mm < width) width = mm;
if (nn <= 0) width = mm;
mm -= width;
range_M[num_cpu + 1] = range_M[num_cpu] + width;
} else {
width = blas_quickdivide(mm + args -> nthreads - num_cpu, args -> nthreads - num_cpu - 1);
if (mm < width) width = mm;
mm -= width;
range_M[num_cpu + 1] = range_M[num_cpu] + width;
width = blas_quickdivide(nn + args -> nthreads - num_cpu, args -> nthreads - num_cpu - 1);
if (nn < width) width = nn;
if (mm <= 0) width = nn;
nn -= width;
range_N[num_cpu + 1] = range_N[num_cpu] + width;
}
queue[num_cpu].mode = mode;
queue[num_cpu].routine = inner_advanced_thread;
queue[num_cpu].args = &newarg;
queue[num_cpu].range_m = &range_M[num_cpu];
queue[num_cpu].range_n = &range_N[0];
queue[num_cpu].sa = NULL;
queue[num_cpu].sb = NULL;
queue[num_cpu].next = &queue[num_cpu + 1];
flag[num_cpu * CACHE_LINE_SIZE] = 1;
num_cpu ++;
}
newarg.nthreads = num_cpu;
if (num_cpu > 0) {
for (j = 0; j < num_cpu; j++) {
for (i = 0; i < num_cpu; i++) {
for (k = 0; k < DIVIDE_RATE; k++) {
job[j].working[i][CACHE_LINE_SIZE * k] = 0;
}
}
}
}
is += bk;
bk = mn - is;
if (bk > next_bk) bk = next_bk;
range_n_new[0] = offset + is;
range_n_new[1] = offset + is + bk;
if (num_cpu > 0) {
queue[num_cpu - 1].next = NULL;
exec_blas_async(0, &queue[0]);
inner_basic_thread(&newarg, NULL, range_n_mine, sa, sbb, -1);
iinfo = GETRF_SINGLE(args, NULL, range_n_new, sa, sbb, 0);
if (iinfo && !info) info = iinfo + is;
for (i = 0; i < num_cpu; i ++) while (flag[i * CACHE_LINE_SIZE]) {};
TRSM_ILTCOPY(bk, bk, a + (is + is * lda) * COMPSIZE, lda, 0, sb);
} else {
inner_basic_thread(&newarg, NULL, range_n_mine, sa, sbb, -1);
iinfo = GETRF_SINGLE(args, NULL, range_n_new, sa, sbb, 0);
if (iinfo && !info) info = iinfo + is;
}
}
next_bk = init_bk;
is = 0;
while (is < mn) {
bk = mn - is;
if (bk > next_bk) bk = next_bk;
width = (FORMULA1(m, n, is, bk, args -> nthreads) + GEMM_UNROLL_N - 1) & ~(GEMM_UNROLL_N - 1);
if (width > mn - is - bk) width = mn - is - bk;
if (width < bk) {
next_bk = (FORMULA2(m, n, is, bk, args -> nthreads) + GEMM_UNROLL_N) & ~(GEMM_UNROLL_N - 1);
if (next_bk > bk) next_bk = bk;
}
blas_level1_thread(mode, bk, is + bk + offset + 1, mn + offset, (void *)dummyalpha,
a + (- offset + is * lda) * COMPSIZE, lda, NULL, 0,
ipiv, 1, (void *)LASWP_PLUS, args -> nthreads);
is += bk;
}
#ifdef USE_ALLOC_HEAP
free(job);
#endif
return info;
}
#else
blasint CNAME(blas_arg_t *args, BLASLONG *range_m, BLASLONG *range_n, FLOAT *sa, FLOAT *sb, BLASLONG myid) {
BLASLONG m, n, mn, lda, offset;
BLASLONG i, is, bk, init_bk, next_bk, range_n_new[2];
blasint *ipiv, iinfo, info;
int mode;
blas_arg_t newarg;
FLOAT *a, *sbb;
FLOAT dummyalpha[2] = {ZERO, ZERO};
blas_queue_t queue[MAX_CPU_NUMBER];
BLASLONG range[MAX_CPU_NUMBER + 1];
BLASLONG width, nn, num_cpu;
volatile BLASLONG flag[MAX_CPU_NUMBER * CACHE_LINE_SIZE] __attribute__((aligned(128)));
#ifndef COMPLEX
#ifdef XDOUBLE
mode = BLAS_XDOUBLE | BLAS_REAL;
#elif defined(DOUBLE)
mode = BLAS_DOUBLE | BLAS_REAL;
#else
mode = BLAS_SINGLE | BLAS_REAL;
#endif
#else
#ifdef XDOUBLE
mode = BLAS_XDOUBLE | BLAS_COMPLEX;
#elif defined(DOUBLE)
mode = BLAS_DOUBLE | BLAS_COMPLEX;
#else
mode = BLAS_SINGLE | BLAS_COMPLEX;
#endif
#endif
m = args -> m;
n = args -> n;
a = (FLOAT *)args -> a;
lda = args -> lda;
ipiv = (blasint *)args -> c;
offset = 0;
if (range_n) {
m -= range_n[0];
n = range_n[1] - range_n[0];
offset = range_n[0];
a += range_n[0] * (lda + 1) * COMPSIZE;
}
if (m <= 0 || n <= 0) return 0;
newarg.c = ipiv;
newarg.lda = lda;
newarg.common = NULL;
newarg.nthreads = args -> nthreads;
mn = MIN(m, n);
init_bk = (mn / 2 + GEMM_UNROLL_N - 1) & ~(GEMM_UNROLL_N - 1);
if (init_bk > GEMM_Q) init_bk = GEMM_Q;
if (init_bk <= GEMM_UNROLL_N) {
info = GETF2(args, NULL, range_n, sa, sb, 0);
return info;
}
width = FORMULA1(m, n, 0, init_bk, args -> nthreads);
width = (width + GEMM_UNROLL_N - 1) & ~(GEMM_UNROLL_N - 1);
if (width > n - init_bk) width = n - init_bk;
if (width < init_bk) {
BLASLONG temp;
temp = FORMULA2(m, n, 0, init_bk, args -> nthreads);
temp = (temp + GEMM_UNROLL_N - 1) & ~(GEMM_UNROLL_N - 1);
if (temp < GEMM_UNROLL_N) temp = GEMM_UNROLL_N;
if (temp < init_bk) init_bk = temp;
}
next_bk = init_bk;
bk = init_bk;
range_n_new[0] = offset;
range_n_new[1] = offset + bk;
info = CNAME(args, NULL, range_n_new, sa, sb, 0);
TRSM_ILTCOPY(bk, bk, a, lda, 0, sb);
is = 0;
num_cpu = 0;
sbb = (FLOAT *)((((BLASULONG)(sb + GEMM_PQ * GEMM_PQ * COMPSIZE) + GEMM_ALIGN) & ~GEMM_ALIGN) + GEMM_OFFSET_B);
while (is < mn) {
width = FORMULA1(m, n, is, bk, args -> nthreads);
width = (width + GEMM_UNROLL_N - 1) & ~(GEMM_UNROLL_N - 1);
if (width < bk) {
next_bk = FORMULA2(m, n, is, bk, args -> nthreads);
next_bk = (next_bk + GEMM_UNROLL_N - 1) & ~(GEMM_UNROLL_N - 1);
if (next_bk > bk) next_bk = bk;
#if 0
if (next_bk < GEMM_UNROLL_N) next_bk = MIN(GEMM_UNROLL_N, mn - bk - is);
#else
if (next_bk < GEMM_UNROLL_N) next_bk = MAX(GEMM_UNROLL_N, mn - bk - is);
#endif
width = next_bk;
}
if (width > mn - is - bk) {
next_bk = mn - is - bk;
width = next_bk;
}
nn = n - bk - is;
if (width > nn) width = nn;
if (num_cpu > 1) exec_blas_async_wait(num_cpu - 1, &queue[1]);
range[0] = 0;
range[1] = width;
num_cpu = 1;
nn -= width;
newarg.a = sb;
newarg.b = a + (is + is * lda) * COMPSIZE;
newarg.d = (void *)flag;
newarg.m = m - bk - is;
newarg.n = n - bk - is;
newarg.k = bk;
newarg.ldb = is + offset;
while (nn > 0){
width = blas_quickdivide(nn + args -> nthreads - num_cpu, args -> nthreads - num_cpu);
nn -= width;
if (nn < 0) width = width + nn;
range[num_cpu + 1] = range[num_cpu] + width;
queue[num_cpu].mode = mode;
//queue[num_cpu].routine = inner_advanced_thread;
queue[num_cpu].routine = (void *)inner_basic_thread;
queue[num_cpu].args = &newarg;
queue[num_cpu].range_m = NULL;
queue[num_cpu].range_n = &range[num_cpu];
queue[num_cpu].sa = NULL;
queue[num_cpu].sb = NULL;
queue[num_cpu].next = &queue[num_cpu + 1];
flag[num_cpu * CACHE_LINE_SIZE] = 1;
num_cpu ++;
}
queue[num_cpu - 1].next = NULL;
is += bk;
bk = n - is;
if (bk > next_bk) bk = next_bk;
range_n_new[0] = offset + is;
range_n_new[1] = offset + is + bk;
if (num_cpu > 1) {
exec_blas_async(1, &queue[1]);
#if 0
inner_basic_thread(&newarg, NULL, &range[0], sa, sbb, 0);
iinfo = GETRF_SINGLE(args, NULL, range_n_new, sa, sbb, 0);
#else
if (range[1] >= bk * 4) {
BLASLONG myrange[2];
myrange[0] = 0;
myrange[1] = bk;
inner_basic_thread(&newarg, NULL, &myrange[0], sa, sbb, -1);
iinfo = GETRF_SINGLE(args, NULL, range_n_new, sa, sbb, 0);
myrange[0] = bk;
myrange[1] = range[1];
inner_basic_thread(&newarg, NULL, &myrange[0], sa, sbb, -1);
} else {
inner_basic_thread(&newarg, NULL, &range[0], sa, sbb, -1);
iinfo = GETRF_SINGLE(args, NULL, range_n_new, sa, sbb, 0);
}
#endif
for (i = 1; i < num_cpu; i ++) while (flag[i * CACHE_LINE_SIZE]) {};
TRSM_ILTCOPY(bk, bk, a + (is + is * lda) * COMPSIZE, lda, 0, sb);
} else {
inner_basic_thread(&newarg, NULL, &range[0], sa, sbb, -1);
iinfo = GETRF_SINGLE(args, NULL, range_n_new, sa, sbb, 0);
}
if (iinfo && !info) info = iinfo + is;
}
next_bk = init_bk;
bk = init_bk;
is = 0;
while (is < mn) {
bk = mn - is;
if (bk > next_bk) bk = next_bk;
width = FORMULA1(m, n, is, bk, args -> nthreads);
width = (width + GEMM_UNROLL_N - 1) & ~(GEMM_UNROLL_N - 1);
if (width < bk) {
next_bk = FORMULA2(m, n, is, bk, args -> nthreads);
next_bk = (next_bk + GEMM_UNROLL_N - 1) & ~(GEMM_UNROLL_N - 1);
if (next_bk > bk) next_bk = bk;
#if 0
if (next_bk < GEMM_UNROLL_N) next_bk = MIN(GEMM_UNROLL_N, mn - bk - is);
#else
if (next_bk < GEMM_UNROLL_N) next_bk = MAX(GEMM_UNROLL_N, mn - bk - is);
#endif
}
if (width > mn - is - bk) {
next_bk = mn - is - bk;
width = next_bk;
}
blas_level1_thread(mode, bk, is + bk + offset + 1, mn + offset, (void *)dummyalpha,
a + (- offset + is * lda) * COMPSIZE, lda, NULL, 0,
ipiv, 1, (void *)LASWP_PLUS, args -> nthreads);
is += bk;
}
return info;
}
#endif
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