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9 changes: 8 additions & 1 deletion CMakeLists.txt
Original file line number Diff line number Diff line change
@@ -1,9 +1,16 @@
cmake_minimum_required(VERSION 3.12)
project(hellocmake LANGUAGES CXX)

FIND_PACKAGE( OpenMP REQUIRED)
if(OPENMP_FOUND)
message("OPENMP FOUND")
set(CMAKE_C_FLAGS "${CMAKE_C_FLAGS} ${OpenMP_C_FLAGS}")
set(CMAKE_CXX_FLAGS "${CMAKE_CXX_FLAGS} ${OpenMP_CXX_FLAGS}")
set(CMAKE_EXE_LINKER_FLAGS"${CMAKE_EXE_LINKER_FLAGS}${OpenMP_EXE_LINKER_FLAGS}")
endif()
set(CMAKE_CXX_STANDARD 17)
if (NOT CMAKE_BUILD_TYPE)
set(CMAKE_BUILD_TYPE Release)
endif()

set(CMAKE_CXX_FLAGS_RELEASE "$ENV{CXXFLAGS} -O3 -Wall")
add_executable(main main.cpp)
69 changes: 43 additions & 26 deletions main.cpp
Original file line number Diff line number Diff line change
Expand Up @@ -3,7 +3,7 @@
#include <vector>
#include <chrono>
#include <cmath>

#include <array>
float frand() {
return (float)rand() / RAND_MAX * 2 - 1;
}
Expand All @@ -12,13 +12,16 @@ struct Star {
float px, py, pz;
float vx, vy, vz;
float mass;

};

std::vector<Star> stars;
std::array<Star,48> stars;

void init() {
// #pragma omp simd
#pragma GCC ivdep
for (int i = 0; i < 48; i++) {
stars.push_back({
stars[i] = (Star{
frand(), frand(), frand(),
frand(), frand(), frand(),
frand() + 1,
Expand All @@ -31,43 +34,56 @@ float eps = 0.001;
float dt = 0.01;

void step() {
for (auto &star: stars) {
for (auto &other: stars) {
float dx = other.px - star.px;
float dy = other.py - star.py;
float dz = other.pz - star.pz;
float d2 = dx * dx + dy * dy + dz * dz + eps * eps;
float G = 0.001;
float eps = 0.001;
float dt = 0.01;
float epss = eps*eps;
float gpdt = G*dt;
//#pragma omp simd
#pragma GCC ivdep
for (int i=0;i<48;i++) {
for (int j=0;j<48;j++) {
float dx = stars[j].px - stars[i].px;
float dy = stars[j].py - stars[i].py;
float dz = stars[j].pz - stars[i].pz;
float d2 = dx * dx + dy * dy + dz * dz + epss;
d2 *= sqrt(d2);
star.vx += dx * other.mass * G * dt / d2;
star.vy += dy * other.mass * G * dt / d2;
star.vz += dz * other.mass * G * dt / d2;
stars[i].vx += dx * stars[j].mass * gpdt / d2;
stars[i].vy += dy * stars[j].mass * gpdt / d2;
stars[i].vz += dz * stars[j].mass * gpdt / d2;
}
}
for (auto &star: stars) {
star.px += star.vx * dt;
star.py += star.vy * dt;
star.pz += star.vz * dt;
for (int i=0;i<48;i++) {
stars[i].px += stars[i].vx * dt;
stars[i].py += stars[i].vy * dt;
stars[i].pz += stars[i].vz * dt;
}
}

float calc() {
float G = 0.001;
float eps = 0.001;
float dt = 0.01;
float epss = eps*eps;
float energy = 0;
for (auto &star: stars) {
float v2 = star.vx * star.vx + star.vy * star.vy + star.vz * star.vz;
energy += star.mass * v2 / 2;
for (auto &other: stars) {
float dx = other.px - star.px;
float dy = other.py - star.py;
float dz = other.pz - star.pz;
float d2 = dx * dx + dy * dy + dz * dz + eps * eps;
energy -= other.mass * star.mass * G / sqrt(d2) / 2;
//#pragma omp simd
#pragma GCC ivdep
for (int i=0;i<48;i++) {
float v2 = stars[i].vx * stars[i].vx + stars[i].vy * stars[i].vy + stars[i].vz * stars[i].vz;
energy += stars[i].mass * v2 / 2;
for (int j=0;j<48;j++) {
float dx = stars[j].px - stars[i].px;
float dy = stars[j].py - stars[i].py;
float dz = stars[j].pz - stars[i].pz;
float d2 = dx * dx + dy * dy + dz * dz + epss;
energy -= stars[j].mass * stars[i].mass * G / sqrt(d2) / 2;
}
}
return energy;
}

template <class Func>
long benchmark(Func const &func) {
constexpr long benchmark(Func const &func) {
auto t0 = std::chrono::steady_clock::now();
func();
auto t1 = std::chrono::steady_clock::now();
Expand All @@ -79,6 +95,7 @@ int main() {
init();
printf("Initial energy: %f\n", calc());
auto dt = benchmark([&] {
#pragma omp simd
for (int i = 0; i < 100000; i++)
step();
});
Expand Down