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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. */
/*********************************************************************/
#ifndef CACHE_LINE_SIZE
#define CACHE_LINE_SIZE 8
#endif
#ifndef DIVIDE_RATE
#define DIVIDE_RATE 2
#endif
#ifndef SWITCH_RATIO
#define SWITCH_RATIO 2
#endif
#ifndef GEMM_PREFERED_SIZE
#define GEMM_PREFERED_SIZE 1
#endif
//The array of job_t may overflow the stack.
//Instead, use malloc to alloc job_t.
#if MAX_CPU_NUMBER > BLAS3_MEM_ALLOC_THRESHOLD
#define USE_ALLOC_HEAP
#endif
#ifndef GEMM_LOCAL
#if defined(NN)
#define GEMM_LOCAL GEMM_NN
#elif defined(NT)
#define GEMM_LOCAL GEMM_NT
#elif defined(NR)
#define GEMM_LOCAL GEMM_NR
#elif defined(NC)
#define GEMM_LOCAL GEMM_NC
#elif defined(TN)
#define GEMM_LOCAL GEMM_TN
#elif defined(TT)
#define GEMM_LOCAL GEMM_TT
#elif defined(TR)
#define GEMM_LOCAL GEMM_TR
#elif defined(TC)
#define GEMM_LOCAL GEMM_TC
#elif defined(RN)
#define GEMM_LOCAL GEMM_RN
#elif defined(RT)
#define GEMM_LOCAL GEMM_RT
#elif defined(RR)
#define GEMM_LOCAL GEMM_RR
#elif defined(RC)
#define GEMM_LOCAL GEMM_RC
#elif defined(CN)
#define GEMM_LOCAL GEMM_CN
#elif defined(CT)
#define GEMM_LOCAL GEMM_CT
#elif defined(CR)
#define GEMM_LOCAL GEMM_CR
#elif defined(CC)
#define GEMM_LOCAL GEMM_CC
#endif
#endif
typedef struct {
volatile
BLASLONG working[MAX_CPU_NUMBER][CACHE_LINE_SIZE * DIVIDE_RATE];
} job_t;
#ifndef BETA_OPERATION
#ifndef COMPLEX
#define BETA_OPERATION(M_FROM, M_TO, N_FROM, N_TO, BETA, C, LDC) \
GEMM_BETA((M_TO) - (M_FROM), (N_TO - N_FROM), 0, \
BETA[0], NULL, 0, NULL, 0, \
(FLOAT *)(C) + ((M_FROM) + (N_FROM) * (LDC)) * COMPSIZE, LDC)
#else
#define BETA_OPERATION(M_FROM, M_TO, N_FROM, N_TO, BETA, C, LDC) \
GEMM_BETA((M_TO) - (M_FROM), (N_TO - N_FROM), 0, \
BETA[0], BETA[1], NULL, 0, NULL, 0, \
(FLOAT *)(C) + ((M_FROM) + (N_FROM) * (LDC)) * COMPSIZE, LDC)
#endif
#endif
#ifndef ICOPY_OPERATION
#if defined(NN) || defined(NT) || defined(NC) || defined(NR) || \
defined(RN) || defined(RT) || defined(RC) || defined(RR)
#define ICOPY_OPERATION(M, N, A, LDA, X, Y, BUFFER) GEMM_ITCOPY(M, N, (FLOAT *)(A) + ((Y) + (X) * (LDA)) * COMPSIZE, LDA, BUFFER);
#else
#define ICOPY_OPERATION(M, N, A, LDA, X, Y, BUFFER) GEMM_INCOPY(M, N, (FLOAT *)(A) + ((X) + (Y) * (LDA)) * COMPSIZE, LDA, BUFFER);
#endif
#endif
#ifndef OCOPY_OPERATION
#if defined(NN) || defined(TN) || defined(CN) || defined(RN) || \
defined(NR) || defined(TR) || defined(CR) || defined(RR)
#define OCOPY_OPERATION(M, N, A, LDA, X, Y, BUFFER) GEMM_ONCOPY(M, N, (FLOAT *)(A) + ((X) + (Y) * (LDA)) * COMPSIZE, LDA, BUFFER);
#else
#define OCOPY_OPERATION(M, N, A, LDA, X, Y, BUFFER) GEMM_OTCOPY(M, N, (FLOAT *)(A) + ((Y) + (X) * (LDA)) * COMPSIZE, LDA, BUFFER);
#endif
#endif
#ifndef KERNEL_FUNC
#if defined(NN) || defined(NT) || defined(TN) || defined(TT)
#define KERNEL_FUNC GEMM_KERNEL_N
#endif
#if defined(CN) || defined(CT) || defined(RN) || defined(RT)
#define KERNEL_FUNC GEMM_KERNEL_L
#endif
#if defined(NC) || defined(TC) || defined(NR) || defined(TR)
#define KERNEL_FUNC GEMM_KERNEL_R
#endif
#if defined(CC) || defined(CR) || defined(RC) || defined(RR)
#define KERNEL_FUNC GEMM_KERNEL_B
#endif
#endif
#ifndef KERNEL_OPERATION
#ifndef COMPLEX
#define KERNEL_OPERATION(M, N, K, ALPHA, SA, SB, C, LDC, X, Y) \
KERNEL_FUNC(M, N, K, ALPHA[0], SA, SB, (FLOAT *)(C) + ((X) + (Y) * LDC) * COMPSIZE, LDC)
#else
#define KERNEL_OPERATION(M, N, K, ALPHA, SA, SB, C, LDC, X, Y) \
KERNEL_FUNC(M, N, K, ALPHA[0], ALPHA[1], SA, SB, (FLOAT *)(C) + ((X) + (Y) * LDC) * COMPSIZE, LDC)
#endif
#endif
#ifndef FUSED_KERNEL_OPERATION
#if defined(NN) || defined(TN) || defined(CN) || defined(RN) || \
defined(NR) || defined(TR) || defined(CR) || defined(RR)
#ifndef COMPLEX
#define FUSED_KERNEL_OPERATION(M, N, K, ALPHA, SA, SB, B, LDB, C, LDC, I, J, L) \
FUSED_GEMM_KERNEL_N(M, N, K, ALPHA[0], SA, SB, \
(FLOAT *)(B) + ((L) + (J) * LDB) * COMPSIZE, LDB, (FLOAT *)(C) + ((I) + (J) * LDC) * COMPSIZE, LDC)
#else
#define FUSED_KERNEL_OPERATION(M, N, K, ALPHA, SA, SB, B, LDB, C, LDC, I, J, L) \
FUSED_GEMM_KERNEL_N(M, N, K, ALPHA[0], ALPHA[1], SA, SB, \
(FLOAT *)(B) + ((L) + (J) * LDB) * COMPSIZE, LDB, (FLOAT *)(C) + ((I) + (J) * LDC) * COMPSIZE, LDC)
#endif
#else
#ifndef COMPLEX
#define FUSED_KERNEL_OPERATION(M, N, K, ALPHA, SA, SB, B, LDB, C, LDC, I, J, L) \
FUSED_GEMM_KERNEL_T(M, N, K, ALPHA[0], SA, SB, \
(FLOAT *)(B) + ((J) + (L) * LDB) * COMPSIZE, LDB, (FLOAT *)(C) + ((I) + (J) * LDC) * COMPSIZE, LDC)
#else
#define FUSED_KERNEL_OPERATION(M, N, K, ALPHA, SA, SB, B, LDB, C, LDC, I, J, L) \
FUSED_GEMM_KERNEL_T(M, N, K, ALPHA[0], ALPHA[1], SA, SB, \
(FLOAT *)(B) + ((J) + (L) * LDB) * COMPSIZE, LDB, (FLOAT *)(C) + ((I) + (J) * LDC) * COMPSIZE, LDC)
#endif
#endif
#endif
#ifndef A
#define A args -> a
#endif
#ifndef LDA
#define LDA args -> lda
#endif
#ifndef B
#define B args -> b
#endif
#ifndef LDB
#define LDB args -> ldb
#endif
#ifndef C
#define C args -> c
#endif
#ifndef LDC
#define LDC args -> ldc
#endif
#ifndef M
#define M args -> m
#endif
#ifndef N
#define N args -> n
#endif
#ifndef K
#define K args -> k
#endif
#ifdef TIMING
#define START_RPCC() rpcc_counter = rpcc()
#define STOP_RPCC(COUNTER) COUNTER += rpcc() - rpcc_counter
#else
#define START_RPCC()
#define STOP_RPCC(COUNTER)
#endif
static int inner_thread(blas_arg_t *args, BLASLONG *range_m, BLASLONG *range_n, FLOAT *sa, FLOAT *sb, BLASLONG mypos){
FLOAT *buffer[DIVIDE_RATE];
BLASLONG k, lda, ldb, ldc;
BLASLONG m_from, m_to, n_from, n_to;
FLOAT *alpha, *beta;
FLOAT *a, *b, *c;
job_t *job = (job_t *)args -> common;
BLASLONG nthreads_m;
BLASLONG mypos_m, mypos_n;
BLASLONG is, js, ls, bufferside, jjs;
BLASLONG min_i, min_l, div_n, min_jj;
BLASLONG i, current;
BLASLONG l1stride;
#ifdef TIMING
BLASULONG rpcc_counter;
BLASULONG copy_A = 0;
BLASULONG copy_B = 0;
BLASULONG kernel = 0;
BLASULONG waiting1 = 0;
BLASULONG waiting2 = 0;
BLASULONG waiting3 = 0;
BLASULONG waiting6[MAX_CPU_NUMBER];
BLASULONG ops = 0;
for (i = 0; i < args -> nthreads; i++) waiting6[i] = 0;
#endif
k = K;
a = (FLOAT *)A;
b = (FLOAT *)B;
c = (FLOAT *)C;
lda = LDA;
ldb = LDB;
ldc = LDC;
alpha = (FLOAT *)args -> alpha;
beta = (FLOAT *)args -> beta;
/* Initialize 2D CPU distribution */
nthreads_m = args -> nthreads;
if (range_m) {
nthreads_m = range_m[-1];
}
mypos_n = blas_quickdivide(mypos, nthreads_m); /* mypos_n = mypos / nthreads_m */
mypos_m = mypos - mypos_n * nthreads_m; /* mypos_m = mypos % nthreads_m */
/* Initialize m and n */
m_from = 0;
m_to = M;
if (range_m) {
m_from = range_m[mypos_m + 0];
m_to = range_m[mypos_m + 1];
}
n_from = 0;
n_to = N;
if (range_n) {
n_from = range_n[mypos + 0];
n_to = range_n[mypos + 1];
}
/* Multiply C by beta if needed */
if (beta) {
#ifndef COMPLEX
if (beta[0] != ONE)
#else
if ((beta[0] != ONE) || (beta[1] != ZERO))
#endif
BETA_OPERATION(m_from, m_to, range_n[mypos_n * nthreads_m], range_n[(mypos_n + 1) * nthreads_m], beta, c, ldc);
}
/* Return early if no more computation is needed */
if ((k == 0) || (alpha == NULL)) return 0;
if (alpha[0] == ZERO
#ifdef COMPLEX
&& alpha[1] == ZERO
#endif
) return 0;
/* Initialize workspace for local region of B */
div_n = (n_to - n_from + DIVIDE_RATE - 1) / DIVIDE_RATE;
buffer[0] = sb;
for (i = 1; i < DIVIDE_RATE; i++) {
buffer[i] = buffer[i - 1] + GEMM_Q * ((div_n + GEMM_UNROLL_N - 1)/GEMM_UNROLL_N) * GEMM_UNROLL_N * COMPSIZE;
}
/* Iterate through steps of k */
for(ls = 0; ls < k; ls += min_l){
/* Determine step size in k */
min_l = k - ls;
if (min_l >= GEMM_Q * 2) {
min_l = GEMM_Q;
} else {
if (min_l > GEMM_Q) min_l = (min_l + 1) / 2;
}
/* Determine step size in m
* Note: We are currently on the first step in m
*/
l1stride = 1;
min_i = m_to - m_from;
if (min_i >= GEMM_P * 2) {
min_i = GEMM_P;
} else {
if (min_i > GEMM_P) {
min_i = ((min_i / 2 + GEMM_UNROLL_M - 1)/GEMM_UNROLL_M) * GEMM_UNROLL_M;
} else {
if (args -> nthreads == 1) l1stride = 0;
}
}
/* Copy local region of A into workspace */
START_RPCC();
ICOPY_OPERATION(min_l, min_i, a, lda, ls, m_from, sa);
STOP_RPCC(copy_A);
/* Copy local region of B into workspace and apply kernel */
div_n = (n_to - n_from + DIVIDE_RATE - 1) / DIVIDE_RATE;
for (js = n_from, bufferside = 0; js < n_to; js += div_n, bufferside ++) {
/* Make sure if no one is using workspace */
START_RPCC();
for (i = 0; i < args -> nthreads; i++)
while (job[mypos].working[i][CACHE_LINE_SIZE * bufferside]) {YIELDING;MB;};
STOP_RPCC(waiting1);
#if defined(FUSED_GEMM) && !defined(TIMING)
/* Fused operation to copy region of B into workspace and apply kernel */
FUSED_KERNEL_OPERATION(min_i, MIN(n_to, js + div_n) - js, min_l, alpha,
sa, buffer[bufferside], b, ldb, c, ldc, m_from, js, ls);
#else
/* Split local region of B into parts */
for(jjs = js; jjs < MIN(n_to, js + div_n); jjs += min_jj){
min_jj = MIN(n_to, js + div_n) - jjs;
if (min_jj >= 3*GEMM_UNROLL_N) min_jj = 3*GEMM_UNROLL_N;
else
if (min_jj >= 2*GEMM_UNROLL_N) min_jj = 2*GEMM_UNROLL_N;
else
if (min_jj > GEMM_UNROLL_N) min_jj = GEMM_UNROLL_N;
/* Copy part of local region of B into workspace */
START_RPCC();
OCOPY_OPERATION(min_l, min_jj, b, ldb, ls, jjs,
buffer[bufferside] + min_l * (jjs - js) * COMPSIZE * l1stride);
STOP_RPCC(copy_B);
/* Apply kernel with local region of A and part of local region of B */
START_RPCC();
KERNEL_OPERATION(min_i, min_jj, min_l, alpha,
sa, buffer[bufferside] + min_l * (jjs - js) * COMPSIZE * l1stride,
c, ldc, m_from, jjs);
STOP_RPCC(kernel);
#ifdef TIMING
ops += 2 * min_i * min_jj * min_l;
#endif
}
#endif
/* Set flag so other threads can access local region of B */
for (i = mypos_n * nthreads_m; i < (mypos_n + 1) * nthreads_m; i++)
job[mypos].working[i][CACHE_LINE_SIZE * bufferside] = (BLASLONG)buffer[bufferside];
WMB;
}
/* Get regions of B from other threads and apply kernel */
current = mypos;
do {
/* This thread accesses regions of B from threads in the range
* [ mypos_n * nthreads_m, (mypos_n+1) * nthreads_m ) */
current ++;
if (current >= (mypos_n + 1) * nthreads_m) current = mypos_n * nthreads_m;
/* Split other region of B into parts */
div_n = (range_n[current + 1] - range_n[current] + DIVIDE_RATE - 1) / DIVIDE_RATE;
for (js = range_n[current], bufferside = 0; js < range_n[current + 1]; js += div_n, bufferside ++) {
if (current != mypos) {
/* Wait until other region of B is initialized */
START_RPCC();
while(job[current].working[mypos][CACHE_LINE_SIZE * bufferside] == 0) {YIELDING;MB;};
STOP_RPCC(waiting2);
/* Apply kernel with local region of A and part of other region of B */
START_RPCC();
KERNEL_OPERATION(min_i, MIN(range_n[current + 1] - js, div_n), min_l, alpha,
sa, (FLOAT *)job[current].working[mypos][CACHE_LINE_SIZE * bufferside],
c, ldc, m_from, js);
STOP_RPCC(kernel);
#ifdef TIMING
ops += 2 * min_i * MIN(range_n[current + 1] - js, div_n) * min_l;
#endif
}
/* Clear synchronization flag if this thread is done with other region of B */
if (m_to - m_from == min_i) {
job[current].working[mypos][CACHE_LINE_SIZE * bufferside] &= 0;
WMB;
}
}
} while (current != mypos);
/* Iterate through steps of m
* Note: First step has already been finished */
for(is = m_from + min_i; is < m_to; is += min_i){
min_i = m_to - 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) * GEMM_UNROLL_M;
}
/* Copy local region of A into workspace */
START_RPCC();
ICOPY_OPERATION(min_l, min_i, a, lda, ls, is, sa);
STOP_RPCC(copy_A);
/* Get regions of B and apply kernel */
current = mypos;
do {
/* Split region of B into parts and apply kernel */
div_n = (range_n[current + 1] - range_n[current] + DIVIDE_RATE - 1) / DIVIDE_RATE;
for (js = range_n[current], bufferside = 0; js < range_n[current + 1]; js += div_n, bufferside ++) {
/* Apply kernel with local region of A and part of region of B */
START_RPCC();
KERNEL_OPERATION(min_i, MIN(range_n[current + 1] - js, div_n), min_l, alpha,
sa, (FLOAT *)job[current].working[mypos][CACHE_LINE_SIZE * bufferside],
c, ldc, is, js);
STOP_RPCC(kernel);
#ifdef TIMING
ops += 2 * min_i * MIN(range_n[current + 1] - js, div_n) * min_l;
#endif
/* Clear synchronization flag if this thread is done with region of B */
if (is + min_i >= m_to) {
job[current].working[mypos][CACHE_LINE_SIZE * bufferside] &= 0;
WMB;
}
}
/* This thread accesses regions of B from threads in the range
* [ mypos_n * nthreads_m, (mypos_n+1) * nthreads_m ) */
current ++;
if (current >= (mypos_n + 1) * nthreads_m) current = mypos_n * nthreads_m;
} while (current != mypos);
}
}
/* Wait until all other threads are done with local region of B */
START_RPCC();
for (i = 0; i < args -> nthreads; i++) {
for (js = 0; js < DIVIDE_RATE; js++) {
while (job[mypos].working[i][CACHE_LINE_SIZE * js] ) {YIELDING;MB;};
}
}
STOP_RPCC(waiting3);
#ifdef TIMING
BLASLONG waiting = waiting1 + waiting2 + waiting3;
BLASLONG total = copy_A + copy_B + kernel + waiting;
fprintf(stderr, "GEMM [%2ld] Copy_A : %6.2f Copy_B : %6.2f Wait1 : %6.2f Wait2 : %6.2f Wait3 : %6.2f Kernel : %6.2f",
mypos, (double)copy_A /(double)total * 100., (double)copy_B /(double)total * 100.,
(double)waiting1 /(double)total * 100.,
(double)waiting2 /(double)total * 100.,
(double)waiting3 /(double)total * 100.,
(double)ops/(double)kernel / 4. * 100.);
fprintf(stderr, "\n");
#endif
return 0;
}
static int round_up(int remainder, int width, int multiple)
{
if (multiple > remainder || width <= multiple)
return width;
width = (width + multiple - 1) / multiple;
width = width * multiple;
return width;
}
static int gemm_driver(blas_arg_t *args, BLASLONG *range_m, BLASLONG
*range_n, FLOAT *sa, FLOAT *sb,
BLASLONG nthreads_m, BLASLONG nthreads_n) {
#ifndef USE_OPENMP
#ifndef OS_WINDOWS
static pthread_mutex_t level3_lock = PTHREAD_MUTEX_INITIALIZER;
#else
CRITICAL_SECTION level3_lock;
InitializeCriticalSection((PCRITICAL_SECTION)&level3_lock);
#endif
#endif
blas_arg_t newarg;
#ifndef USE_ALLOC_HEAP
job_t job[MAX_CPU_NUMBER];
#else
job_t * job = NULL;
#endif
blas_queue_t queue[MAX_CPU_NUMBER];
BLASLONG range_M_buffer[MAX_CPU_NUMBER + 2];
BLASLONG range_N_buffer[MAX_CPU_NUMBER + 2];
BLASLONG *range_M, *range_N;
BLASLONG num_parts;
BLASLONG nthreads = args -> nthreads;
BLASLONG width, i, j, k, js;
BLASLONG m, n, n_from, n_to;
int mode;
/* Get execution mode */
#ifndef COMPLEX
#ifdef XDOUBLE
mode = BLAS_XDOUBLE | BLAS_REAL | BLAS_NODE;
#elif defined(DOUBLE)
mode = BLAS_DOUBLE | BLAS_REAL | BLAS_NODE;
#else
mode = BLAS_SINGLE | BLAS_REAL | BLAS_NODE;
#endif
#else
#ifdef XDOUBLE
mode = BLAS_XDOUBLE | BLAS_COMPLEX | BLAS_NODE;
#elif defined(DOUBLE)
mode = BLAS_DOUBLE | BLAS_COMPLEX | BLAS_NODE;
#else
mode = BLAS_SINGLE | BLAS_COMPLEX | BLAS_NODE;
#endif
#endif
#ifndef USE_OPENMP
#ifndef OS_WINDOWS
pthread_mutex_lock(&level3_lock);
#else
EnterCriticalSection((PCRITICAL_SECTION)&level3_lock);
#endif
#endif
#ifdef USE_ALLOC_HEAP
/* Dynamically allocate workspace */
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
/* Initialize struct for arguments */
newarg.m = args -> m;
newarg.n = args -> n;
newarg.k = args -> k;
newarg.a = args -> a;
newarg.b = args -> b;
newarg.c = args -> c;
newarg.lda = args -> lda;
newarg.ldb = args -> ldb;
newarg.ldc = args -> ldc;
newarg.alpha = args -> alpha;
newarg.beta = args -> beta;
newarg.nthreads = args -> nthreads;
newarg.common = (void *)job;
#ifdef PARAMTEST
newarg.gemm_p = args -> gemm_p;
newarg.gemm_q = args -> gemm_q;
newarg.gemm_r = args -> gemm_r;
#endif
/* Initialize partitions in m and n
* Note: The number of CPU partitions is stored in the -1 entry */
range_M = &range_M_buffer[1];
range_N = &range_N_buffer[1];
range_M[-1] = nthreads_m;
range_N[-1] = nthreads_n;
if (!range_m) {
range_M[0] = 0;
m = args -> m;
} else {
range_M[0] = range_m[0];
m = range_m[1] - range_m[0];
}
/* Partition m into nthreads_m regions */
num_parts = 0;
while (m > 0){
width = blas_quickdivide(m + nthreads_m - num_parts - 1, nthreads_m - num_parts);
width = round_up(m, width, GEMM_PREFERED_SIZE);
m -= width;
if (m < 0) width = width + m;
range_M[num_parts + 1] = range_M[num_parts] + width;
num_parts ++;
}
for (i = num_parts; i < MAX_CPU_NUMBER; i++) {
range_M[i + 1] = range_M[num_parts];
}
/* Initialize parameters for parallel execution */
for (i = 0; i < nthreads; i++) {
queue[i].mode = mode;
queue[i].routine = inner_thread;
queue[i].args = &newarg;
queue[i].range_m = range_M;
queue[i].range_n = range_N;
queue[i].sa = NULL;
queue[i].sb = NULL;
queue[i].next = &queue[i + 1];
}
queue[0].sa = sa;
queue[0].sb = sb;
queue[nthreads - 1].next = NULL;
/* Iterate through steps of n */
if (!range_n) {
n_from = 0;
n_to = args -> n;
} else {
n_from = range_n[0];
n_to = range_n[1];
}
for(js = n_from; js < n_to; js += GEMM_R * nthreads){
n = n_to - js;
if (n > GEMM_R * nthreads) n = GEMM_R * nthreads;
/* Partition (a step of) n into nthreads regions */
range_N[0] = js;
num_parts = 0;
while (n > 0){
width = blas_quickdivide(n + nthreads - num_parts - 1, nthreads - num_parts);
if (width < SWITCH_RATIO) {
width = SWITCH_RATIO;
}
width = round_up(n, width, GEMM_PREFERED_SIZE);
n -= width;
if (n < 0) width = width + n;
range_N[num_parts + 1] = range_N[num_parts] + width;
num_parts ++;
}
for (j = num_parts; j < MAX_CPU_NUMBER; j++) {
range_N[j + 1] = range_N[num_parts];
}
/* Clear synchronization flags */
for (i = 0; i < nthreads; i++) {
for (j = 0; j < nthreads; j++) {
for (k = 0; k < DIVIDE_RATE; k++) {
job[i].working[j][CACHE_LINE_SIZE * k] = 0;
}
}
}
/* Execute parallel computation */
exec_blas(nthreads, queue);
}
#ifdef USE_ALLOC_HEAP
free(job);
#endif
#ifndef USE_OPENMP
#ifndef OS_WINDOWS
pthread_mutex_unlock(&level3_lock);
#else
LeaveCriticalSection((PCRITICAL_SECTION)&level3_lock);
#endif
#endif
return 0;
}
int CNAME(blas_arg_t *args, BLASLONG *range_m, BLASLONG *range_n, FLOAT *sa, FLOAT *sb, BLASLONG mypos){
BLASLONG m = args -> m;
BLASLONG n = args -> n;
BLASLONG nthreads_m, nthreads_n;
/* Get dimensions from index ranges if available */
if (range_m) {
m = range_m[1] - range_m[0];
}
if (range_n) {
n = range_n[1] - range_n[0];
}
/* Partitions in m should have at least SWITCH_RATIO rows */
if (m < 2 * SWITCH_RATIO) {
nthreads_m = 1;
} else {
nthreads_m = args -> nthreads;
while (m < nthreads_m * SWITCH_RATIO) {
nthreads_m = nthreads_m / 2;
}
}
/* Partitions in n should have at most SWITCH_RATIO * nthreads_m columns */
if (n < SWITCH_RATIO * nthreads_m) {
nthreads_n = 1;
} else {
nthreads_n = (n + SWITCH_RATIO * nthreads_m - 1) / (SWITCH_RATIO * nthreads_m);
if (nthreads_m * nthreads_n > args -> nthreads) {
nthreads_n = blas_quickdivide(args -> nthreads, nthreads_m);
}
}
/* Execute serial or parallel computation */
if (nthreads_m * nthreads_n <= 1) {
GEMM_LOCAL(args, range_m, range_n, sa, sb, 0);
} else {
args -> nthreads = nthreads_m * nthreads_n;
gemm_driver(args, range_m, range_n, sa, sb, nthreads_m, nthreads_n);
}
return 0;
}
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