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benchmark.cpp
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#include "WignerSymbol.hpp"
#include <chrono>
#include <gsl/gsl_specfunc.h>
using namespace util;
void time_3j()
{
using timer_clock = std::chrono::high_resolution_clock;
auto t1 = timer_clock::now();
const int N = 40;
wigner_init(N, "2bjmax", 3);
double x = 0;
for (int dj1 = 0; dj1 <= N; ++dj1)
{
for (int dj2 = 0; dj2 <= N; ++dj2)
{
for (int dj3 = std::abs(dj1 - dj2); dj3 <= dj1 + dj2; dj3 += 2)
{
for (int dm1 = -dj1; dm1 <= dj1; dm1 += 2)
{
for (int dm2 = -dj2; dm2 <= dj2; dm2 += 2)
{
for (int dm3 = -dj3; dm3 <= dj3; dm3 += 2)
{
x += wigner_3j(dj1, dj2, dj3, dm1, dm2, dm3);
}
}
}
}
}
}
auto t2 = timer_clock::now();
double y = 0;
for (int dj1 = 0; dj1 <= N; ++dj1)
{
for (int dj2 = 0; dj2 <= N; ++dj2)
{
for (int dj3 = std::abs(dj1 - dj2); dj3 <= dj1 + dj2; dj3 += 2)
{
for (int dm1 = -dj1; dm1 <= dj1; dm1 += 2)
{
for (int dm2 = -dj2; dm2 <= dj2; dm2 += 2)
{
for (int dm3 = -dj3; dm3 <= dj3; dm3 += 2)
{
y += gsl_sf_coupling_3j(dj1, dj2, dj3, dm1, dm2, dm3);
}
}
}
}
}
}
auto t3 = timer_clock::now();
std::cout << "time 3j, diff = " << x - y << std::endl;
std::cout << "this code time = " << std::chrono::duration_cast<std::chrono::milliseconds>(t2 - t1).count() << " ms"
<< std::endl;
std::cout << "gsl library time = " << std::chrono::duration_cast<std::chrono::milliseconds>(t3 - t2).count()
<< " ms" << std::endl;
}
// in time_3j, most Wigner 3j symbol is zero
// here, we test the performance of Wigner 3j symbol which is always non-zero
void time_3j_always_valid()
{
using timer_clock = std::chrono::high_resolution_clock;
auto t1 = timer_clock::now();
const int N = 50;
wigner_init(N, "2bjmax", 3);
double x = 0;
for (int dj1 = 0; dj1 <= N; ++dj1)
{
for (int dj2 = 0; dj2 <= N; ++dj2)
{
for (int dj3 = std::abs(dj1 - dj2); dj3 <= dj1 + dj2; dj3 += 2)
{
for (int dm1 = -dj1; dm1 <= dj1; dm1 += 2)
{
for (int dm2 = -dj2; dm2 <= dj2; dm2 += 2)
{
x += wigner_3j(dj1, dj2, dj3, dm1, dm2, -dm1 - dm2);
}
}
}
}
}
auto t2 = timer_clock::now();
double y = 0;
for (int dj1 = 0; dj1 <= N; ++dj1)
{
for (int dj2 = 0; dj2 <= N; ++dj2)
{
for (int dj3 = std::abs(dj1 - dj2); dj3 <= dj1 + dj2; dj3 += 2)
{
for (int dm1 = -dj1; dm1 <= dj1; dm1 += 2)
{
for (int dm2 = -dj2; dm2 <= dj2; dm2 += 2)
{
y += gsl_sf_coupling_3j(dj1, dj2, dj3, dm1, dm2, -dm1 - dm2);
}
}
}
}
}
auto t3 = timer_clock::now();
std::cout << "time 3j, diff = " << x - y << std::endl;
std::cout << "this code time = " << std::chrono::duration_cast<std::chrono::milliseconds>(t2 - t1).count() << " ms"
<< std::endl;
std::cout << "gsl library time = " << std::chrono::duration_cast<std::chrono::milliseconds>(t3 - t2).count()
<< " ms" << std::endl;
}
void time_6j()
{
using timer_clock = std::chrono::high_resolution_clock;
auto t1 = timer_clock::now();
const int N = 30;
wigner_init(N, "Jmax", 6);
double x = 0;
for (int dj1 = N; dj1 <= 2 * N; ++dj1)
{
for (int dj2 = N; dj2 <= 2 * N; ++dj2)
{
for (int dj3 = N; dj3 <= 2 * N; ++dj3)
{
for (int dj4 = N; dj4 <= 2 * N; ++dj4)
{
for (int dj5 = N; dj5 <= 2 * N; ++dj5)
{
for (int dj6 = N; dj6 <= 2 * N; ++dj6)
{
x += wigner_6j(dj1, dj2, dj3, dj4, dj5, dj6);
}
}
}
}
}
}
auto t2 = timer_clock::now();
double y = 0;
for (int dj1 = N; dj1 <= 2 * N; ++dj1)
{
for (int dj2 = N; dj2 <= 2 * N; ++dj2)
{
for (int dj3 = N; dj3 <= 2 * N; ++dj3)
{
for (int dj4 = N; dj4 <= 2 * N; ++dj4)
{
for (int dj5 = N; dj5 <= 2 * N; ++dj5)
{
for (int dj6 = N; dj6 <= 2 * N; ++dj6)
{
y += gsl_sf_coupling_6j(dj1, dj2, dj3, dj4, dj5, dj6);
}
}
}
}
}
}
auto t3 = timer_clock::now();
std::cout << "time 6j, diff = " << x - y << std::endl;
std::cout << "this code time = " << std::chrono::duration_cast<std::chrono::milliseconds>(t2 - t1).count() << " ms"
<< std::endl;
std::cout << "gsl library time = " << std::chrono::duration_cast<std::chrono::milliseconds>(t3 - t2).count()
<< " ms" << std::endl;
}
void time_6j_always_valid()
{
using timer_clock = std::chrono::high_resolution_clock;
auto t1 = timer_clock::now();
const int N = 50;
wigner_init(N, "2bjmax", 6);
double x = 0;
for (int dj1 = 0; dj1 <= N; ++dj1)
{
for (int dj2 = 0; dj2 <= N; ++dj2)
{
for (int dj4 = 0; dj4 <= N; ++dj4)
{
for (int dj5 = wigner.isodd(dj1 + dj2 + dj4); dj5 <= N; dj5 += 2)
{
int dj3_min = std::max(std::abs(dj1 - dj2), std::abs(dj4 - dj5));
int dj3_max = std::min(dj1 + dj2, dj4 + dj5);
int dj6_min = std::max(std::abs(dj1 - dj5), std::abs(dj2 - dj4));
int dj6_max = std::min(dj1 + dj5, dj2 + dj4);
for (int dj3 = dj3_min; dj3 <= dj3_max; dj3 += 2)
{
for (int dj6 = dj6_min; dj6 <= dj6_max; dj6 += 2)
{
x += wigner_6j(dj1, dj2, dj3, dj4, dj5, dj6);
}
}
}
}
}
}
auto t2 = timer_clock::now();
double y = 0;
for (int dj1 = 0; dj1 <= N; ++dj1)
{
for (int dj2 = 0; dj2 <= N; ++dj2)
{
for (int dj4 = 0; dj4 <= N; ++dj4)
{
for (int dj5 = wigner.isodd(dj1 + dj2 + dj4); dj5 <= N; dj5 += 2)
{
int dj3_min = std::max(std::abs(dj1 - dj2), std::abs(dj4 - dj5));
int dj3_max = std::min(dj1 + dj2, dj4 + dj5);
int dj6_min = std::max(std::abs(dj1 - dj5), std::abs(dj2 - dj4));
int dj6_max = std::min(dj1 + dj5, dj2 + dj4);
for (int dj3 = dj3_min; dj3 <= dj3_max; dj3 += 2)
{
for (int dj6 = dj6_min; dj6 <= dj6_max; dj6 += 2)
{
y += gsl_sf_coupling_6j(dj1, dj2, dj3, dj4, dj5, dj6);
}
}
}
}
}
}
auto t3 = timer_clock::now();
std::cout << "time 6j, diff = " << x - y << std::endl;
std::cout << "this code time = " << std::chrono::duration_cast<std::chrono::milliseconds>(t2 - t1).count() << " ms"
<< std::endl;
std::cout << "gsl library time = " << std::chrono::duration_cast<std::chrono::milliseconds>(t3 - t2).count()
<< " ms" << std::endl;
}
void time_9j()
{
using timer_clock = std::chrono::high_resolution_clock;
auto t1 = timer_clock::now();
const int N = 8;
wigner_init(N, "Jmax", 9);
double x = 0;
for (int dj1 = N; dj1 <= 2 * N; ++dj1)
{
for (int dj2 = N; dj2 <= 2 * N; ++dj2)
{
for (int dj3 = N; dj3 <= 2 * N; ++dj3)
{
for (int dj4 = N; dj4 <= 2 * N; ++dj4)
{
for (int dj5 = N; dj5 <= 2 * N; ++dj5)
{
for (int dj6 = N; dj6 <= 2 * N; ++dj6)
{
for (int dj7 = N; dj7 <= 2 * N; ++dj7)
{
for (int dj8 = N; dj8 <= 2 * N; ++dj8)
{
for (int dj9 = N; dj9 <= 2 * N; ++dj9)
{
x += wigner_9j(dj1, dj2, dj3, dj4, dj5, dj6, dj7, dj8, dj9);
}
}
}
}
}
}
}
}
}
auto t2 = timer_clock::now();
double y = 0;
for (int dj1 = N; dj1 <= 2 * N; ++dj1)
{
for (int dj2 = N; dj2 <= 2 * N; ++dj2)
{
for (int dj3 = N; dj3 <= 2 * N; ++dj3)
{
for (int dj4 = N; dj4 <= 2 * N; ++dj4)
{
for (int dj5 = N; dj5 <= 2 * N; ++dj5)
{
for (int dj6 = N; dj6 <= 2 * N; ++dj6)
{
for (int dj7 = N; dj7 <= 2 * N; ++dj7)
{
for (int dj8 = N; dj8 <= 2 * N; ++dj8)
{
for (int dj9 = N; dj9 <= 2 * N; ++dj9)
{
y += gsl_sf_coupling_9j(dj1, dj2, dj3, dj4, dj5, dj6, dj7, dj8, dj9);
}
}
}
}
}
}
}
}
}
auto t3 = timer_clock::now();
std::cout << "time 9j, diff = " << x - y << std::endl;
std::cout << "this code time = " << std::chrono::duration_cast<std::chrono::milliseconds>(t2 - t1).count() << " ms"
<< std::endl;
std::cout << "gsl library time = " << std::chrono::duration_cast<std::chrono::milliseconds>(t3 - t2).count()
<< " ms" << std::endl;
}
void time_9j_always_valid()
{
using timer_clock = std::chrono::high_resolution_clock;
auto t1 = timer_clock::now();
const int N = 10;
wigner_init(N, "Jmax", 9);
double x = 0;
for (int dj1 = 0; dj1 <= N; ++dj1)
{
for (int dj2 = 0; dj2 <= N; ++dj2)
{
for (int dj4 = 0; dj4 <= N; ++dj4)
{
for (int dj5 = 0; dj5 <= N; ++dj5)
{
for (int dj3 = std::abs(dj1 - dj2); dj3 <= dj1 + dj2; dj3 += 2)
{
for (int dj6 = std::abs(dj4 - dj5); dj6 <= dj4 + dj5; dj6 += 2)
{
for (int dj7 = std::abs(dj1 - dj4); dj7 <= dj1 + dj4; dj7 += 2)
{
for (int dj8 = std::abs(dj2 - dj5); dj8 <= dj2 + dj5; dj8 += 2)
{
int dj9_min = std::max(std::abs(dj3 - dj6), std::abs(dj7 - dj8));
for (int dj9 = dj9_min; dj9 <= 2 * N; dj9 += 2)
{
x += wigner_9j(dj1, dj2, dj3, dj4, dj5, dj6, dj7, dj8, dj9);
}
}
}
}
}
}
}
}
}
auto t2 = timer_clock::now();
double y = 0;
for (int dj1 = 0; dj1 <= N; ++dj1)
{
for (int dj2 = 0; dj2 <= N; ++dj2)
{
for (int dj4 = 0; dj4 <= N; ++dj4)
{
for (int dj5 = 0; dj5 <= N; ++dj5)
{
for (int dj3 = std::abs(dj1 - dj2); dj3 <= dj1 + dj2; dj3 += 2)
{
for (int dj6 = std::abs(dj4 - dj5); dj6 <= dj4 + dj5; dj6 += 2)
{
for (int dj7 = std::abs(dj1 - dj4); dj7 <= dj1 + dj4; dj7 += 2)
{
for (int dj8 = std::abs(dj2 - dj5); dj8 <= dj2 + dj5; dj8 += 2)
{
int dj9_min = std::max(std::abs(dj3 - dj6), std::abs(dj7 - dj8));
for (int dj9 = dj9_min; dj9 <= 2 * N; dj9 += 2)
{
y += gsl_sf_coupling_9j(dj1, dj2, dj3, dj4, dj5, dj6, dj7, dj8, dj9);
}
}
}
}
}
}
}
}
}
auto t3 = timer_clock::now();
std::cout << "time 9j, diff = " << x - y << std::endl;
std::cout << "this code time = " << std::chrono::duration_cast<std::chrono::milliseconds>(t2 - t1).count() << " ms"
<< std::endl;
std::cout << "gsl library time = " << std::chrono::duration_cast<std::chrono::milliseconds>(t3 - t2).count()
<< " ms" << std::endl;
}
void time_lsjj()
{
using timer_clock = std::chrono::high_resolution_clock;
const int Lmax = 50;
wigner_init(2 * Lmax, "Jmax", 9);
double lsjj_sum = 0;
double norm9j_sum = 0;
auto t1 = timer_clock::now();
for (int l1 = 0; l1 <= Lmax; ++l1)
{
for (int l2 = 0; l2 <= Lmax; ++l2)
{
std::vector<std::pair<int, int>> dj_pairs = {
{2 * l1 - 1, 2 * l2 - 1}, {2 * l1 - 1, 2 * l2 + 1}, {2 * l1 + 1, 2 * l2 - 1}, {2 * l1 + 1, 2 * l2 + 1}};
for (auto [dj1, dj2] : dj_pairs)
{
for (int L = std::abs(l1 - l2); L <= l1 + l2; ++L)
{
std::vector<std::pair<int, int>> SJ_pairs = {{0, L}, {1, L - 1}, {1, L}, {1, L + 1}};
for (auto [S, J] : SJ_pairs)
{
double x = lsjj(l1, l2, dj1, dj2, L, S, J);
lsjj_sum += std::abs(x);
}
}
}
}
}
auto t2 = timer_clock::now();
for (int l1 = 0; l1 <= Lmax; ++l1)
{
for (int l2 = 0; l2 <= Lmax; ++l2)
{
std::vector<std::pair<int, int>> dj_pairs = {
{2 * l1 - 1, 2 * l2 - 1}, {2 * l1 - 1, 2 * l2 + 1}, {2 * l1 + 1, 2 * l2 - 1}, {2 * l1 + 1, 2 * l2 + 1}};
for (auto [dj1, dj2] : dj_pairs)
{
for (int L = std::abs(l1 - l2); L <= l1 + l2; ++L)
{
std::vector<std::pair<int, int>> SJ_pairs = {{0, L}, {1, L - 1}, {1, L}, {1, L + 1}};
for (auto [S, J] : SJ_pairs)
{
double y = wigner_norm9j(2 * l1, 1, dj1, 2 * l2, 1, dj2, 2 * L, 2 * S, 2 * J);
norm9j_sum += std::abs(y);
}
}
}
}
}
auto t3 = timer_clock::now();
std::cout << "time lsjj, diff = " << std::abs(lsjj_sum - norm9j_sum) << std::endl;
std::cout << "lsjj time = " << std::chrono::duration_cast<std::chrono::milliseconds>(t2 - t1).count() << " ms"
<< std::endl;
std::cout << "norm9j time = " << std::chrono::duration_cast<std::chrono::milliseconds>(t3 - t2).count() << " ms"
<< std::endl;
}
int main()
{
std::cout << "----- test where most results are zeros -----" << std::endl;
time_3j();
time_6j();
time_9j();
std::cout << "----- test where arguements are always valid -----" << std::endl;
time_3j_always_valid();
time_6j_always_valid();
time_9j_always_valid();
std::cout << "----- test lsjj -----" << std::endl;
time_lsjj();
return 0;
}