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python isotropic points on a sphere
Real Raccoon
on Apr 06, 2021
#include<random>#include<cmath>#include<chrono>int main(int argc, char *argv[]) { // Set up random number generators unsigned seed = std::chrono::system_clock::now().time_since_epoch().count(); std::mt19937 generator (seed); std::uniform_real_distribution<double> uniform01(0.0, 1.0); // generate N random numbers int N = 1000; // the correct way FILE * correct; correct = fopen("correct.csv", "w"); fprintf(correct, "Theta,Phi,x,y,z\n"); for (int i = 0; i < N; i++) { // incorrect way double theta = 2 * M_PI * uniform01(generator); double phi = acos(1 - 2 * uniform01(generator)); double x = sin(phi) * cos(theta); double y = sin(phi) * sin(theta); double z = cos(phi); fprintf(correct, "%f,%f,%f,%f,%f\n", theta, phi, x, y, z); } fclose(correct);}Source: corysimon.github.io
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