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jacobi3d_openmp_avx.cpp
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jacobi3d_openmp_avx.cpp
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#include <immintrin.h>
#include <iostream>
#include <sstream>
#include <vector>
#include "eval.h"
#define GET(X, Y, Z) gridOld[((X + dimX) % dimX) + ((Y + dimY) % dimY) * dimX + ((Z + dimZ) % dimZ) * dimX * dimY]
#define SET(X, Y, Z) gridNew[((X + dimX) % dimX) + ((Y + dimY) % dimY) * dimX + ((Z + dimZ) % dimZ) * dimX * dimY]
void update(double *gridOld, double *gridNew, int dimX, int dimY, int dimZ)
{
#pragma omp parallel for
for (int z = 0; z < dimZ; ++z) {
for (int y = 0; y < dimY; ++y) {
int x = 0;
for (; x < 4; ++x) {
SET(x, y, z) = (GET(x, y, z - 1) +
GET(x, y - 1, z ) +
GET(x - 1, y, z ) +
GET(x, y, z ) +
GET(x + 1, y, z ) +
GET(x, y + 1, z ) +
GET(x, y, z + 1)) * (1.0 / 7.0);
}
__m256d oneSeventh = _mm256_set1_pd(1.0 / 7.0);
for (; x < (dimX - 15); x += 16) {
// load south
__m256d sum0 = _mm256_load_pd(&GET(x + 0, y, z - 1));
__m256d sum1 = _mm256_load_pd(&GET(x + 4, y, z - 1));
__m256d sum2 = _mm256_load_pd(&GET(x + 8, y, z - 1));
__m256d sum3 = _mm256_load_pd(&GET(x + 12, y, z - 1));
// load top
__m256d buf0 = _mm256_load_pd(&GET(x + 0, y - 1, z));
__m256d buf1 = _mm256_load_pd(&GET(x + 4, y - 1, z));
__m256d buf2 = _mm256_load_pd(&GET(x + 8, y - 1, z));
__m256d buf3 = _mm256_load_pd(&GET(x + 12, y - 1, z));
// load west
__m256d bufA = _mm256_loadu_pd(&GET(x - 1, y, z));
__m256d bufB = _mm256_loadu_pd(&GET(x + 3, y, z));
__m256d bufC = _mm256_loadu_pd(&GET(x + 7, y, z));
__m256d bufD = _mm256_loadu_pd(&GET(x + 11, y, z));
// add south and top
sum0 = _mm256_add_pd(sum0, buf0);
sum1 = _mm256_add_pd(sum1, buf1);
sum2 = _mm256_add_pd(sum2, buf2);
sum3 = _mm256_add_pd(sum3, buf3);
// load east
buf0 = _mm256_loadu_pd(&GET(x + 1, y, z));
buf1 = _mm256_loadu_pd(&GET(x + 5, y, z));
buf2 = _mm256_loadu_pd(&GET(x + 9, y, z));
buf3 = _mm256_loadu_pd(&GET(x + 13, y, z));
// add (south+top) and west
sum0 = _mm256_add_pd(sum0, bufA);
sum1 = _mm256_add_pd(sum1, bufB);
sum2 = _mm256_add_pd(sum2, bufC);
sum3 = _mm256_add_pd(sum3, bufD);
// load bottom
bufA = _mm256_load_pd(&GET(x + 0, y + 1, z));
bufB = _mm256_load_pd(&GET(x + 4, y + 1, z));
bufC = _mm256_load_pd(&GET(x + 8, y + 1, z));
bufD = _mm256_load_pd(&GET(x + 12, y + 1, z));
// add (south+top+west) and east
sum0 = _mm256_add_pd(sum0, buf0);
sum1 = _mm256_add_pd(sum1, buf1);
sum2 = _mm256_add_pd(sum2, buf2);
sum3 = _mm256_add_pd(sum3, buf3);
// load north
buf0 = _mm256_load_pd(&GET(x + 0, y, z + 1));
buf1 = _mm256_load_pd(&GET(x + 4, y, z + 1));
buf2 = _mm256_load_pd(&GET(x + 8, y, z + 1));
buf3 = _mm256_load_pd(&GET(x + 12, y, z + 1));
// add (south+top+west+east) and bottom
sum0 = _mm256_add_pd(sum0, bufA);
sum1 = _mm256_add_pd(sum1, bufB);
sum2 = _mm256_add_pd(sum2, bufC);
sum3 = _mm256_add_pd(sum3, bufD);
// load same
bufA = _mm256_load_pd(&GET(x + 0, y, z));
bufB = _mm256_load_pd(&GET(x + 4, y, z));
bufC = _mm256_load_pd(&GET(x + 8, y, z));
bufD = _mm256_load_pd(&GET(x + 12, y, z));
// add (south+top+west+east+bottom) and north
sum0 = _mm256_add_pd(sum0, buf0);
sum1 = _mm256_add_pd(sum1, buf1);
sum2 = _mm256_add_pd(sum2, buf2);
sum3 = _mm256_add_pd(sum3, buf3);
// add (south+top+west+east+bottom+north) and same
sum0 = _mm256_add_pd(sum0, bufA);
sum1 = _mm256_add_pd(sum1, bufB);
sum2 = _mm256_add_pd(sum2, bufC);
sum3 = _mm256_add_pd(sum3, bufD);
// scale down
sum0 = _mm256_mul_pd(sum0, oneSeventh);
sum1 = _mm256_mul_pd(sum1, oneSeventh);
sum2 = _mm256_mul_pd(sum2, oneSeventh);
sum3 = _mm256_mul_pd(sum3, oneSeventh);
}
for (; x < dimX; ++x) {
SET(x, y, z) = (GET(x, y, z - 1) +
GET(x, y - 1, z ) +
GET(x - 1, y, z ) +
GET(x, y, z ) +
GET(x + 1, y, z ) +
GET(x, y + 1, z ) +
GET(x, y, z + 1)) * (1.0 / 7.0);
}
}
}
}
void init(double *gridNew, int dimX, int dimY, int dimZ)
{
#pragma omp parallel for
for (int z = 0; z < dimZ; ++z) {
for (int y = 0; y < dimY; ++y) {
for (int x = 0; x < dimX; ++x) {
double value = 0;
if ((x * y * z) == 0) {
value = 1;
}
SET(x, y, z) = value;
}
}
}
}
void print(double *gridOld, int dimX, int dimY, int dimZ)
{
for (int z = 0; z < dimZ; ++z) {
for (int y = 0; y < dimY; ++y) {
for (int x = 0; x < dimX; ++x) {
std::cout << " " << GET(x, y, z);
}
std::cout << "\n";
}
}
}
void benchmark(std::vector<double> *gridOld, std::vector<double> *gridNew, int dimX, int dimY, int dimZ, int repeats)
{
double tStartInit = getUTtime();
double tStartCalc = getUTtime();
for (int t = 0; t < repeats; ++t) {
update(&gridOld->front(), &gridNew->front(), dimX, dimY, dimZ);
std::swap(gridOld, gridNew);
}
double tEndCalc = getUTtime();
double tEnd = getUTtime();
eval(tStartInit, tStartCalc, tEndCalc, tEnd, dimX, dimY, dimZ, repeats);
}
int main(int argc, char **argv)
{
if (argc != 5) {
std::cerr << "usage: " << argv[0] << " DIM_X DIM_Y DIM_Z REPEATS\n";
return 1;
}
std::stringstream buf;
for (int i = 1; i < argc; ++i) {
buf << argv[i] << " ";
}
int dimX, dimY, dimZ, repeats;
buf >> dimX;
buf >> dimY;
buf >> dimZ;
buf >> repeats;
if ((dimX < 4) || ((dimX % 4) != 0)) {
std::cerr << "DIM_X needs to be > 4 and divisible by 4";
}
int size = dimX * dimY * dimZ;
std::vector<double> gridOld(size);
std::vector<double> gridNew(size);
init(&gridOld[0], dimX, dimY, dimZ);
init(&gridNew[0], dimX, dimY, dimZ);
benchmark(&gridOld, &gridNew, dimX, dimY, dimZ, repeats);
print(&gridOld[0], dimX, dimY, dimZ);
}