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LevelSchedule.cpp
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/**
Copyright (c) 2015, Intel Corporation. All rights reserved.
Redistribution and use in source and binary forms, with or without
modification, are permitted provided that the following conditions are met:
* Redistributions of source code must retain the above copyright
notice, this list of conditions and the following disclaimer.
* 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.
* Neither the name of the Intel Corporation nor the
names of its contributors may be used to endorse or promote products
derived from this software without specific prior written permission.
THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "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 INTEL CORPORATION 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.
*/
#include <cstring>
#include <cassert>
#include <cmath>
#include <algorithm>
#include <omp.h>
#include "LevelSchedule.hpp"
#include "Utils.hpp"
#include "MemoryPool.hpp"
#ifdef LOADIMBA
#include "synk/loadimba.hpp"
#else
#include "synk/barrier.hpp"
#endif
using namespace std;
namespace SpMP
{
using namespace std;
#ifdef TRACE_TASK_TIMES
unsigned long long *taskTimes[NUM_MAX_THREADS] = { NULL };
unsigned long long taskTimeCnt[NUM_MAX_THREADS];
#endif
#ifdef MEASURE_SPIN_TIME
unsigned long long spin_times[NUM_MAX_THREADS] = {0};
#ifdef MEASURE_TASK_TIME
unsigned long long task_time_sum[65536] = {0};
int task_time_cnt[65536] = {0};
#endif
#ifdef TRACE_SPIN_TIME
unsigned long long *spin_traces[NUM_MAX_THREADS] = {NULL};
int spin_trace_counts[NUM_MAX_THREADS];
#endif
#endif
#ifdef TRACE_SPIN_TIME
void dumpTrace(const char *fileName)
{
ofstream o(fileName);
for (int ti = 0; ti < omp_get_max_threads(); ++ti) {
for (int i = 1; i < spin_trace_counts[ti]; i += 2) {
o <<
"=Worker " << ti << "| type 0| start:" <<
(spin_traces[ti][i] - spin_traces[ti][0]) << "| end:" <<
(spin_traces[ti][i + 1] - spin_traces[ti][0]) << "| task 0" <<
endl;
}
}
}
#endif
LevelSchedule::LevelSchedule()
: nparentsForward(NULL), nparentsBackward(NULL),
parentsForward(NULL), parentsBackward(NULL),
taskFinished(NULL),
useBarrier(false), transitiveReduction(true), fuseSpMV(false),
#ifdef __MIC__
aggregateForVectorization(true),
#else
aggregateForVectorization(false),
#endif
useMemoryPool(false)
{
init_();
}
LevelSchedule::~LevelSchedule() {
if (!useMemoryPool) {
FREE(nparentsForward);
FREE(nparentsBackward);
FREE(parentsForward);
FREE(parentsBackward);
int *tempTaskFinished = (int *)taskFinished;
FREE(tempTaskFinished);
FREE(origToThreadContPerm);
FREE(threadContToOrigPerm);
FREE(parentsBuf[0]);
FREE(parentsBuf[1]);
if (fusedSchedule) delete fusedSchedule;
}
}
void LevelSchedule::init_()
{
origToThreadContPerm= NULL;
threadContToOrigPerm= NULL;
parentsBuf[0] = parentsBuf[1] = NULL;
fusedSchedule = NULL;
#ifdef LEVEL_CONT_LAYOUT
levContToOrigPerm= NULL;
origToLevContPerm= NULL;
threadContToLevContPerm = NULL;
#endif
}
void LevelSchedule::constructTaskGraph(CSR& A)
{
constructTaskGraph(A, PrefixSumCostFunction(A.rowptr));
}
template<int BASE = 0>
static int *constructDiagPtr_(
int m, const int *rowptr, const int *colidx)
{
int *diagptr = MALLOC(int, m);
#pragma omp parallel for
for (int i = 0; i < m; ++i) {
for (int j = rowptr[i] - BASE; j < rowptr[i + 1] - BASE; ++j) {
if (colidx[j] - BASE >= i) {
diagptr[i] = j + BASE;
break;
}
}
}
return diagptr;
}
int *constructDiagPtr_(int m, const int *rowptr, const int *colidx, int base)
{
if (0 == base) {
return constructDiagPtr_<0>(m, rowptr, colidx);
}
else {
assert(1 == base);
return constructDiagPtr_<1>(m, rowptr, colidx);
}
}
void CSR::constructDiagPtr()
{
if (!diagptr) {
diagptr = constructDiagPtr_(m, rowptr, colidx, getBase());
}
}
void LevelSchedule::constructTaskGraph(CSR& A, const CostFunction& costFunction)
{
A.constructDiagPtr();
assert(A.isSymmetric(false));
constructTaskGraph(A.m, A.rowptr, A.diagptr, A.extptr, A.colidx, costFunction);
}
void LevelSchedule::constructTaskGraph(
int m, const int *rowptr, const int *colidx, const CostFunction& costFunction)
{
int *diagptr = constructDiagPtr_(m, rowptr, colidx, rowptr[0]);
constructTaskGraph(m, rowptr, diagptr, NULL, colidx, costFunction);
FREE(diagptr);
}
void LevelSchedule::constructTaskGraph(
int m, const int *rowptr, const int *diagptr, const int *colidx,
const CostFunction& costFunction)
{
constructTaskGraph(m, rowptr, diagptr, NULL, colidx, costFunction);
}
#define NUM_MAX_THREADS (2048)
template<int BASE = 0>
static
void findLevels_(
int *qTail, int *nnzPrefixSum, int *nparents, int **q, int **rowPtrs,
const int *diagptr, const int *extptr,
const int *colidx,
int *reversePerm, vector<int>& levIndices,
int m,
unsigned long long &tt2, unsigned long long &tt3, unsigned long long &tt4, unsigned long long &tt5, unsigned long long &tt6)
{
colidx -= BASE;
int qTailPrefixSum[NUM_MAX_THREADS] = { 0 };
volatile int endSynchronized[1] = { 0 };
#ifdef LOADIMBA
synk::LoadImba *bar = synk::LoadImba::getInstance();
#else
synk::Barrier *bar = synk::Barrier::getInstance();
#endif
#pragma omp parallel
{
int tid = omp_get_thread_num();
int nthreads = omp_get_num_threads();
bool prevIterSerial = false;
unsigned long long tTemp = __rdtsc();
int end = 0;
while (true) { // until all nodes are visited
bool currIterSerial = false;
int begin = end;
if (prevIterSerial) {
if (0 == tid) {
if (qTail[0] == 0) {
bar->wait(tid); // wake up other threads
break;
}
#define THRESH 64
currIterSerial = qTail[0] < THRESH*2;
if (!currIterSerial) {
*endSynchronized = begin;
bar->wait(tid); // wake up other threads
end = begin + qTail[0];
qTailPrefixSum[1] = qTail[0];
bar->wait(tid);
}
else {
end = begin + qTail[0];
}
}
else {
currIterSerial = false;
begin = *endSynchronized;
end = begin + qTail[0];
qTailPrefixSum[tid + 1] = qTail[0];
nnzPrefixSum[tid + 1] = nnzPrefixSum[1];
bar->wait(tid);
}
}
else {
tTemp = __rdtsc();
bar->wait(tid);
if (0 == tid) tt2 += __rdtsc() - tTemp;
tTemp = __rdtsc();
// compute prefix sum of # of discovered nodes and nnzs associated with them
#pragma omp single
{
for (int t = 0; t < nthreads; ++t) {
qTailPrefixSum[t + 1] = qTailPrefixSum[t] + qTail[t*16];
nnzPrefixSum[t + 1] += nnzPrefixSum[t];
}
}
if (0 == tid) tt3 += __rdtsc() - tTemp;
if (qTailPrefixSum[nthreads] == 0) break;
currIterSerial = qTailPrefixSum[nthreads] < THRESH;
tTemp = __rdtsc();
int begin = end;
end = begin + qTailPrefixSum[nthreads];
int iPerThread = (qTailPrefixSum[nthreads] + nthreads - 1)/nthreads;
int iBegin = min(begin + iPerThread*tid, end);
int iEnd = min(iBegin + iPerThread, end);
int tBegin = upper_bound(
qTailPrefixSum, qTailPrefixSum + nthreads + 1,
iPerThread*tid) -
qTailPrefixSum - 1;
int tEnd = upper_bound(
qTailPrefixSum, qTailPrefixSum + nthreads + 1,
iPerThread*(tid + 1)) -
qTailPrefixSum - 1;
for (int t = tBegin; t <= min(tEnd, nthreads - 1); ++t) {
int b = max(0, iBegin - begin - qTailPrefixSum[t]);
int e = min((int)qTail[t*16], iEnd - begin - qTailPrefixSum[t]);
memcpy(
&reversePerm[0] + begin + qTailPrefixSum[t] + b,
q[t] + b,
(e - b)*sizeof(int));
}
}
if (0 == tid) {
levIndices.push_back(end);
}
if (currIterSerial) {
if (!prevIterSerial) {
bar->wait(tid);
}
if (0 == tid) {
tTemp = __rdtsc();
int *tailPtr = &reversePerm[end];
int *rowPtr = rowPtrs[tid];
*rowPtr = 0;
for (int i = begin; i < end; ++i) {
int pred = reversePerm[i];
int jBegin = diagptr[pred] + 1;
int jEnd = extptr[pred];
for (int j = jBegin; j < jEnd; ++j) {
int succ = colidx[j] - BASE;
if (succ >= m) continue; // for a "fat" matrices with halo
--nparents[succ];
assert(nparents[succ] >= 0);
if (nparents[succ] == 0) {
*tailPtr = succ;
*(rowPtr + 1) = *rowPtr + extptr[succ] - diagptr[succ] - 1;
++tailPtr;
++rowPtr;
}
}
} // for each ready row
qTail[0] = tailPtr - &reversePerm[end];
nnzPrefixSum[1] = *rowPtr;
tt6 += __rdtsc() - tTemp;
}
else {
assert(!prevIterSerial);
bar->wait(tid); // waiting for the master thread
if (qTail[0] == 0) break;
}
}
else {
int nnzPerThread = (nnzPrefixSum[nthreads] + nthreads - 1)/nthreads;
int tBegin = upper_bound(
nnzPrefixSum, nnzPrefixSum + nthreads + 1,
nnzPerThread*tid) -
nnzPrefixSum - 1;
int tEnd = upper_bound(
nnzPrefixSum, nnzPrefixSum + nthreads + 1,
nnzPerThread*(tid + 1)) -
nnzPrefixSum - 1;
int iBegin, iEnd;
if (0 == tid) {
iBegin = 0;
}
else if (tBegin == nthreads) {
iBegin = qTailPrefixSum[nthreads];
}
else {
iBegin = upper_bound(
rowPtrs[tBegin], rowPtrs[tBegin] + qTail[tBegin*16],
nnzPerThread*tid - nnzPrefixSum[tBegin]) -
rowPtrs[tBegin] - 1 +
qTailPrefixSum[tBegin];
}
if (tEnd == nthreads) {
iEnd = qTailPrefixSum[nthreads];
}
else {
iEnd = upper_bound(
rowPtrs[tEnd], rowPtrs[tEnd] + qTail[tEnd*16],
nnzPerThread*(tid + 1) - nnzPrefixSum[tEnd]) -
rowPtrs[tEnd] - 1 +
qTailPrefixSum[tEnd];
}
iBegin += begin;
iEnd += begin;
if (0 == tid) tt4 += __rdtsc() - tTemp;
tTemp = __rdtsc();
bar->wait(tid);
if (0 == tid) tt5 += __rdtsc() - tTemp;
tTemp = __rdtsc();
int *tailPtr = q[tid];
int *rowPtr = rowPtrs[tid];
*rowPtr = 0;
for (int i = iBegin; i < iEnd; ++i) {
int pred = reversePerm[i];
int jBegin = diagptr[pred] + 1;
int jEnd = extptr[pred];
for (int j = jBegin; j < jEnd; ++j) {
int succ = colidx[j] - BASE;
if (succ >= m) continue; // for a "fat" matrices with halo
if (__sync_fetch_and_add(nparents + succ, -1) == 1) {
*tailPtr = succ;
*(rowPtr + 1) =
*rowPtr + extptr[succ] - diagptr[succ] - 1;
++tailPtr;
++rowPtr;
}
assert(nparents[succ] >= 0);
}
} // for each ready row
qTail[tid*16] = tailPtr - q[tid];
nnzPrefixSum[tid + 1] = *rowPtr;
if (0 == tid) tt6 += __rdtsc() - tTemp;
}
prevIterSerial = currIterSerial;
} // while true
} // omp parallel
#ifndef NDEBUG
for (int i = 0; i < m; ++i) {
assert(0 == nparents[i]);
}
#endif
assert(isPerm(reversePerm, m));
}
// This routine doesn't depend on that colidx of each row is fully sorted.
// It only needs to be partially sorted that those smaller than its row index
// appear before diagptr, those larger than # of rows appear after extptr,
// and all others appear in between.
template<int BASE = 0>
static
void findLevels_(
LevelSchedule *schedule,
int m, const int *rowptr, const int *diagptr, const int *extptr, const int *colidx,
const CostFunction& costFunction)
{
vector<int>& levIndices = schedule->levIndices;
vector<int>& taskBoundaries = schedule->taskBoundaries;
vector<int>& threadBoundaries = schedule->threadBoundaries;
bool useBarrier = schedule->useBarrier;
bool aggregateForVectorization = schedule->aggregateForVectorization;
bool useMemoryPool = schedule->useMemoryPool;
#ifndef NDEBUG
CSR A(m, m, (int *)rowptr, (int *)colidx, (double *)NULL);
A.extptr = (int *)extptr;
assert(A.isSymmetric(false, true));
A.extptr = NULL;
A.~CSR();
#endif
// extptr points to the beginning of non-local columns (when MPI is used).
// When MPI is not used, exptr will be set to NULL and we use rowptr + 1 as
// extptr.
if (NULL == extptr) {
extptr = rowptr + 1;
}
// check columns are partially sorted that lower triangular parts appear before
// diagptr and upper triangular parts appear after diagptr
#ifndef NDEBUG
for (int i = 0; i < m; ++i) {
for (int j = rowptr[i] - BASE; j < diagptr[i] - BASE; ++j) {
assert(colidx[j] - BASE < i);
}
for (int j = diagptr[i] - BASE; j < extptr[i] - BASE; ++j) {
assert(colidx[j] - BASE >= i);
}
for (int j = extptr[i] - BASE; j < rowptr[i] - BASE; ++j) {
assert(colidx[j] - BASE >= m);
}
}
#endif
//#define PRINT_TIME_BREAKDOWN
#ifdef PRINT_TIME_BREAKDOWN
unsigned long long tt0 = 0, tt1 = 0;
#endif
unsigned long long tt2 = 0, tt3 = 0, tt4 = 0, tt5 = 0, tt6 = 0;
#ifdef PRINT_TIME_BREAKDOWN
unsigned long long t = __rdtsc();
#endif
int n = m;
int nthreads = omp_get_max_threads();
MemoryPool *memoryPool = MemoryPool::getSingleton();
int nAligned = (n + 15)/16*16;
#ifndef LEVEL_CONT_LAYOUT
int *levContToOrigPerm;
#endif
levContToOrigPerm = schedule->allocate<int>(nAligned + 128);
size_t bufferBegin = memoryPool->getTail();
int *buffer = schedule->allocate<int>(5*max(nthreads, n + nthreads - 1) + NUM_MAX_THREADS*(2 + 16 + 2 + 2)); // max required in case n == 0
assert(buffer);
int *tempBuffer = buffer + max(nthreads, n + nthreads - 1)*4;
// between buffer and tempBuffer, the followings are allocated
// q : max(nthreads, n + nthreads - 1)*2
// rowPtrs : max(nthreads, n + nthreads - 1)*2
int *nparents = tempBuffer; tempBuffer += n;
int **q = (int **)tempBuffer; tempBuffer += NUM_MAX_THREADS*(sizeof(int *)/sizeof(int));
int *qTail = tempBuffer; tempBuffer += NUM_MAX_THREADS*16;
int **rowPtrs = (int **)tempBuffer; tempBuffer += NUM_MAX_THREADS*(sizeof(int *)/sizeof(int));
int *nnzPrefixSum = tempBuffer; tempBuffer += NUM_MAX_THREADS*2;
nnzPrefixSum[0] = 0;
nnzPrefixSum[nthreads + 1] = 0;
levIndices.clear();
levIndices.push_back(0);
#ifdef PRINT_TIME_BREAKDOWN
tt0 = __rdtsc() - t;
unsigned long long ttt;
#endif
#pragma omp parallel num_threads(nthreads)
{
int tid = omp_get_thread_num();
#ifdef PRINT_TIME_BREAKDOWN
if (0 == tid) ttt = __rdtsc();
unsigned long long tTemp = __rdtsc();
#endif
q[tid] = buffer + max(nthreads, n + nthreads - 1)/nthreads*2*tid;
rowPtrs[tid] = buffer + max(nthreads, n + nthreads - 1)*2 + max(nthreads, n + nthreads - 1)/nthreads*2*tid;
int *tailPtr = q[tid];
int *rowPtr = rowPtrs[tid];
*rowPtr = 0;
#pragma omp for
for (int i = 0; i < n; ++i) {
nparents[i] = diagptr[i] - rowptr[i];
if (nparents[i] == 0) {
*tailPtr = i;
*(rowPtr + 1) = *rowPtr + extptr[i] - diagptr[i] - 1;
++tailPtr;
++rowPtr;
}
}
qTail[tid*16] = tailPtr - q[tid];
nnzPrefixSum[tid + 1] = *rowPtr;
#ifdef PRINT_TIME_BREAKDOWN
if (0 == tid) tt1 = __rdtsc() - tTemp;
#endif
} // omp parallel
assert(q[0]);
findLevels_<BASE>(
qTail, nnzPrefixSum, nparents, q, rowPtrs,
diagptr, extptr, colidx,
levContToOrigPerm, levIndices, m,
tt2, tt3, tt4, tt5, tt6);
#ifdef PRINT_TIME_BREAKDOWN
ttt = __rdtsc() - ttt;
printf("t1 = %f\n", (__rdtsc() - t)/get_cpu_freq());
printf("ttt = %f\n", ttt/get_cpu_freq());
printf("tt0 = %f (init)\n", tt0/get_cpu_freq());
printf("tt1 = %f (first level)\n", tt1/get_cpu_freq());
printf("tt2 = %f (first barrier)\n", tt2/get_cpu_freq());
printf("tt3 = %f (prefix sum)\n", tt3/get_cpu_freq());
printf("tt4 = %f (copy)\n", tt4/get_cpu_freq());
printf("tt5 = %f (second barrier)\n", tt5/get_cpu_freq());
printf("tt6 = %f (traverse)\n", tt6/get_cpu_freq());
#undef PRINT_TIME_BREAKDOWN
#endif
if (useMemoryPool) {
memoryPool->setTail(bufferBegin);
buffer = NULL;
}
else {
FREE(buffer);
}
//int ippNumThreads = 0;
//ippGetNumThreads(&ippNumThreads);
//printf("ippGetNumthreads = %d\n", ippNumThreads);
//ippSetNumThreads(1);
int *reversePerm = levContToOrigPerm;
size_t taskRowsEnd = memoryPool->getHead();
pair<int, int> *taskRows =
schedule->allocateFront<pair<int, int> >(nthreads*levIndices.size() - 1);
/*copy(levIndices.begin(), levIndices.end(), ostream_iterator<int>(cout, " "));
printf("\n");*/
size_t bBufferBegin = memoryPool->getTail();
int *bBuffer = schedule->allocate<int>(n + nthreads);
#ifdef _OPENMP
#pragma omp parallel for
#endif
for (int l = 0; l < levIndices.size() - 1; ++l) {
int levelBegin = levIndices[l], levelEnd = levIndices[l + 1];
int *b = &bBuffer[0];
sort(&reversePerm[levelBegin], &reversePerm[levelEnd]);
// partition this level.
int nnz = 0;
for (int i = levelBegin; i < levelEnd; ++i) {
b[i] = nnz;
nnz += costFunction.getCostOf(reversePerm[i]);
}
int nnzPerThread = (nnz + nthreads - 1)/nthreads;
int prevEnd = levelBegin;
int r = levelBegin;
nnz = 0;
int t;
for (t = 0; t < nthreads; ++t) {
int newr = lower_bound(&b[r], &b[levelEnd], (t + 1)*nnzPerThread) - &b[0];
if (aggregateForVectorization) {
// make task size a multiple of 8 as much as possible
if (0 == t) {
r = min(r + (newr - r + 7)/8*8, levelEnd);
}
else {
r = min(r - 1 + (newr - r + 1 + 7)/8*8, levelEnd);
}
}
else {
r = newr;
}
//for ( ; r < levelEnd && nnz < (t + 1)*nnzPerThread; r++) {
//nnz += L.rowptr[reversePerm[r] + 1] - L.rowptr[reversePerm[r]];
//}
//assert(r == r2);
int begin = prevEnd;
int end = min(r, levelEnd);
prevEnd = end;
taskRows[t*(levIndices.size() - 1) + l] = make_pair(begin, end);
if (aggregateForVectorization && end >= levelEnd) break;
//printf("(%d, %d) (%d, %d) (%d, %d)\n", l, t, begin, end, levelBegin, levelEnd);
//if (r < levelEnd)
//nnz += L.rowptr[reversePerm[r] + 1] - L.rowptr[reversePerm[r]];
++r; // make sure first threads execute some tasks -> improve locality
} // for each thread
if (aggregateForVectorization) {
// shift tasks to the last threads so that earlier threads
// have tasks whose number of rows is a multiple of 8.
// we have (t + 1) non-empty tasks in this level
// copy [0, t] to [nthreads - 1 - t, nthreads - 1]
for (int i = t; i >= 0; --i) {
taskRows[(nthreads - 1 - t + i)*(levIndices.size() - 1) + l] =
taskRows[i*(levIndices.size() - 1) + l];
}
// fill [0, nthreads - 1 - t) empty
for (int i = 0; i < nthreads - t - 1; ++i) {
taskRows[i*(levIndices.size() - 1) + l] = make_pair(levelBegin, levelBegin);
}
}
} // for each level
if (useMemoryPool) {
memoryPool->setTail(bBufferBegin);
bBuffer = NULL;
}
else {
FREE(bBuffer);
}
//printf("t2 = %f\n", (__rdtsc() - t)/get_cpu_freq());
// new permutation so that rows for a thread are contiguous
vector<int> rowPartialSum(nthreads + 1);
rowPartialSum[0] = 0;
threadBoundaries.resize(nthreads + 1);
threadBoundaries[0] = 0;
if (useBarrier) {
#pragma omp parallel for
for (int tid = 0; tid < nthreads; ++tid) {
int sum = 0;
int cnt = 0;
for (int i = 0; i < levIndices.size() - 1; ++i) {
int diff = taskRows[tid*(levIndices.size() - 1) + i].second - taskRows[tid*(levIndices.size() - 1) + i].first;
sum += diff;
++cnt;
}
rowPartialSum[tid + 1] = sum;
threadBoundaries[tid + 1] = cnt;
}
}
else {
#pragma omp parallel for
for (int tid = 0; tid < nthreads; ++tid) {
int sum = 0;
int cnt = 0;
for (int i = 0; i < levIndices.size() - 1; ++i) {
int diff = taskRows[tid*(levIndices.size() - 1) + i].second - taskRows[tid*(levIndices.size() - 1) + i].first;
sum += diff;
if (diff) ++cnt;
}
rowPartialSum[tid + 1] = sum;
threadBoundaries[tid + 1] = cnt;
}
}
for (int tid = 0; tid < nthreads; ++tid) {
rowPartialSum[tid + 1] += rowPartialSum[tid];
threadBoundaries[tid + 1] += threadBoundaries[tid];
}
FREE(schedule->origToThreadContPerm);
FREE(schedule->threadContToOrigPerm);
schedule->origToThreadContPerm = schedule->allocate<int>(m + 64);
schedule->threadContToOrigPerm = schedule->allocate<int>(m + 64);
int *origToThreadContPerm = schedule->origToThreadContPerm;
int *threadContToOrigPerm = schedule->threadContToOrigPerm;
taskBoundaries.resize(threadBoundaries[nthreads] + 1);
if (useBarrier) {
#pragma omp parallel for
for (int tid = 0; tid < nthreads; ++tid) {
int rowOffset = rowPartialSum[tid];
int taskOffset = threadBoundaries[tid];
for (int i = 0; i < levIndices.size() - 1; ++i) {
taskBoundaries[taskOffset] = rowOffset;
++taskOffset;
for (int j = taskRows[tid*(levIndices.size() - 1) + i].first; j < taskRows[tid*(levIndices.size() - 1) + i].second; ++j) {
origToThreadContPerm[reversePerm[j]] = rowOffset;
threadContToOrigPerm[rowOffset] = reversePerm[j];
rowOffset++;
}
} // for each task
} // for each thread
} // useBarrier
else {
#pragma omp parallel for
for (int tid = 0; tid < nthreads; ++tid) {
int rowOffset = rowPartialSum[tid];
int taskOffset = threadBoundaries[tid];
for (int i = 0; i < levIndices.size() - 1; ++i) {
if (taskRows[tid*(levIndices.size() - 1) + i].second > taskRows[tid*(levIndices.size() - 1) + i].first) {
taskBoundaries[taskOffset] = rowOffset;
++taskOffset;
for (int j = taskRows[tid*(levIndices.size() - 1) + i].first; j < taskRows[tid*(levIndices.size() - 1) + i].second; ++j) {
origToThreadContPerm[reversePerm[j]] = rowOffset;
assert(reversePerm[j] >= 0);
threadContToOrigPerm[rowOffset] = reversePerm[j];
rowOffset++;
}
}
} // for each task
} // for each thread
} // !useBarrier
taskBoundaries[threadBoundaries[nthreads]] = m;
assert(isPerm(origToThreadContPerm, m));
assert(isPerm(threadContToOrigPerm, m));
if (!useMemoryPool) {
FREE(taskRows);
}
else {
memoryPool->setHead(taskRowsEnd);
taskRows = NULL;
}
#ifdef LEVEL_CONT_LAYOUT
origToLevContPerm= MALLOC(int, n);
threadContToLevContPerm = MALLOC(int, n);
getInversePerm(origToLevContPerm, levContToOrigPerm, n);
#pragma omp parallel for
for (int i = 0; i < n; ++i) {
threadContToLevContPerm[i] =
origToLevContPerm[threadContToOrigPerm[i]];
}
#else
if (!useMemoryPool) {
FREE(levContToOrigPerm);
}
#endif
schedule->ntasks = threadBoundaries.back();
}
template<int BASE = 0>
static
void constructTaskGraph_(
LevelSchedule *schedule,
int m,
const int *rowptr, const int *diagptr, const int *extptr, const int *colidx,
const CostFunction& costFunction)
{
vector<int>& taskBoundaries = schedule->taskBoundaries;
vector<int>& threadBoundaries = schedule->threadBoundaries;
int **parentsBuf = schedule->parentsBuf;
bool transitiveReduction = schedule->transitiveReduction;
bool fuseSpMV = schedule->fuseSpMV;
bool useMemoryPool = schedule->useMemoryPool;
findLevels_<BASE>(schedule, m, rowptr, diagptr, extptr, colidx, costFunction);
int ntasks = schedule->ntasks;
int *threadContToOrigPerm = schedule->threadContToOrigPerm;
if (NULL == extptr) {
extptr = rowptr + 1;
}
colidx -= BASE;
int nnz = rowptr[m] - BASE;
#ifdef TRSOLVER_LOG
unsigned long long t;
double spmvTime = nnz*12/60/1e9;
#endif
#ifdef _OPENMP
int nthreads = omp_get_max_threads();
#else
int nthreads = 1;
#endif
MemoryPool *memoryPool = MemoryPool::getSingleton();
size_t origRowIdToTaskIdEnd = memoryPool->getHead();
int *origRowIdToTaskId = schedule->allocateFront<int>(m);
#pragma omp parallel for num_threads(nthreads)
for (int task = 0; task < ntasks; ++task) {
for (int row = taskBoundaries[task]; row < taskBoundaries[task + 1]; ++row) {
origRowIdToTaskId[threadContToOrigPerm[row]] = task;
}
}
schedule->nparentsForward = schedule->allocate<short>(ntasks);
schedule->parentsForward = schedule->allocate<int *>(ntasks);
short *nparentsForward = schedule->nparentsForward;
int **parentsForward = schedule->parentsForward;
schedule->nparentsBackward = schedule->allocate<short>(ntasks);
schedule->parentsBackward = schedule->allocate<int *>(ntasks);
short *nparentsBackward = schedule->nparentsBackward;
int **parentsBackward = schedule->parentsBackward;
schedule->taskFinished = schedule->allocate<int>(ntasks);
volatile int *taskFinished = schedule->taskFinished;
#pragma omp parallel for
for (int i = 0; i < ntasks; ++i) {
nparentsForward[i] = 0;
parentsForward[i] = NULL;
nparentsBackward[i] = 0;
parentsBackward[i] = NULL;
taskFinished[i] = 0;
}
#ifdef LOG_MEMORY_ALLOCATION
printf("Allocate %d MB in %s\n", (sizeof(short)*ntasks + sizeof(int *)*ntasks + sizeof(int)*ntasks)/1024/1024, __func__);
fflush(stdout);
#endif
size_t childrenBufEnd = 0;
short *nparentsTemp;
vector<vector<int> > tempParents;
//unsigned long long barrierTimes[NUM_MAX_THREADS] = { 0 };
#ifdef TRSOLVER_LOG
t = __rdtsc();
#endif
size_t adjacencyBegin = memoryPool->getTail();
CSR taskAdjacency, taskInvAdjacency;
taskAdjacency.rowptr = schedule->allocate<int>(ntasks + 1);
taskAdjacency.colidx = schedule->allocate<int>((nnz - m)/2 + m);
taskInvAdjacency.rowptr = schedule->allocate<int>(ntasks + 1);
taskInvAdjacency.colidx = schedule->allocate<int>((nnz - m)/2 + m + ntasks);
int *taskInvAdjacencyLengths = schedule->allocate<int>(ntasks);
#pragma omp parallel for num_threads(nthreads)
for (int i = 0; i < ntasks; ++i) {
taskInvAdjacencyLengths[i] = 0;
}
#ifdef LOG_MEMORY_ALLOCATION
printf(
"Allocate %d MB in %s\n",
sizeof(int)*(ntasks*3 + (nnz - m) + 2*m)/1024/1024,
__func__);
fflush(stdout);
#endif
vector<int> nnzPerRow(ntasks);
int perThreadOrigRowPtrSum[NUM_MAX_THREADS] = { 0 };
int perThreadOrigInvRowPtrSum[NUM_MAX_THREADS] = { 0 };
int perThreadRowPtrSum[NUM_MAX_THREADS] = { 0 };
#ifdef TRSOLVER_LOG
int numNewEdges[NUM_MAX_THREADS] = { 0 };
#endif
int *childrenBuf;
int **children;
short *numOfChildren;
int v1Boundaries[NUM_MAX_THREADS] = { 0 }, v1Boundaries2[NUM_MAX_THREADS] = { 0 };
#ifdef _OPENMP
#pragma omp parallel num_threads(nthreads)
#endif
{
int tid = omp_get_thread_num();
int v1PerThread = (ntasks + nthreads - 1)/nthreads;
int v1Begin = min(tid*v1PerThread, ntasks);
int v1End = min(v1Begin + v1PerThread, ntasks);
// count nnzs to load balance
int origRowPtrCnt = 0, origInvRowPtrCnt = 0;
for (int v1 = v1Begin; v1 < v1End; ++v1) {
int size = 0;
int invSize = 0;
for (int i1Perm = taskBoundaries[v1]; i1Perm < taskBoundaries[v1 + 1]; ++i1Perm) {
int i1 = threadContToOrigPerm[i1Perm];
size += extptr[i1] - diagptr[i1] - 1;
invSize += diagptr[i1] - rowptr[i1] + 1; // additional 1 for intra-thread
}
taskAdjacency.rowptr[v1] = origRowPtrCnt;
taskInvAdjacency.rowptr[v1] = origInvRowPtrCnt;
origRowPtrCnt += size;
origInvRowPtrCnt += invSize;
nnzPerRow[v1] = size;
}
perThreadOrigRowPtrSum[tid + 1] = origRowPtrCnt;
perThreadOrigInvRowPtrSum[tid + 1] = origInvRowPtrCnt;
// compute prefix sums
#ifdef _OPENMP
#pragma omp barrier
#pragma omp single
#endif
{
for (int tid = 0; tid < nthreads; ++tid) {
perThreadOrigRowPtrSum[tid + 1] += perThreadOrigRowPtrSum[tid];
perThreadOrigInvRowPtrSum[tid + 1] += perThreadOrigInvRowPtrSum[tid];
}
}
for (int v1 = v1Begin; v1 < v1End; ++v1) {
taskInvAdjacency.rowptr[v1] += perThreadOrigInvRowPtrSum[tid];
}
// load-balanced partition
if (tid == nthreads - 1) {
v1Boundaries[tid + 1] = ntasks;
}
else {
int nnzPerThread = ((nnz - m)/2 + nthreads - 1)/nthreads;
int boundaryTid =
upper_bound(
perThreadOrigRowPtrSum, perThreadOrigRowPtrSum + nthreads - 1,
nnzPerThread*(tid + 1)) -
perThreadOrigRowPtrSum - 1;
v1Boundaries[tid + 1] =
upper_bound(