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https://github.com/triqs/dft_tools
synced 2025-01-12 05:58:18 +01:00
Made autocorrtime calculation from binning faster.
Bin size is doubled at each step to converge faster and reuse previous binned series.
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@ -2,6 +2,7 @@
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#include <triqs/statistics.hpp>
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#include "./correlated_gaussian.hpp"
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#include <iostream>
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#include <ctime>
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#define TEST(X) std::cout << BOOST_PP_STRINGIZE((X)) << " ---> "<< (X) <<std::endl<<std::endl;
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using namespace triqs::statistics;
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@ -31,13 +32,20 @@ void test_1(int argc, char ** argv){
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correlated_gaussian_vector(A, seed, L);
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double intrinsic_variance = 1;
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auto t1 = clock();
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TEST( autocorrelation_time(A));
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//std::cout << "time = " << double( clock()-t1)/CLOCKS_PER_SEC << std::endl;
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//t1 = clock();
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TEST( autocorrelation_time_from_binning(A,intrinsic_variance));
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TEST( autocorrelation_time_from_binning(A));
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//std::cout << "time = " << double( clock()-t1)/CLOCKS_PER_SEC << std::endl;
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//t1 = clock();
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//TEST( autocorrelation_time_from_binning2(A));
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//std::cout << "time = " << double( clock()-t1)/CLOCKS_PER_SEC << std::endl;
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}
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void test_2(int argc, char ** argv){
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int N=10000, L=40;
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int N=100000, L=40;
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if(argc==3){
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N = atoi(argv[1]); //size
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L = atoi(argv[2]); //autocorrelation time
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@ -50,6 +58,8 @@ void test_2(int argc, char ** argv){
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observable<double> V;
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for (auto & x:A) V << x;
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TEST(autocorrelation_time(V));
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TEST(autocorrelation_time_from_binning(V));
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//TEST(autocorrelation_time_from_binning2(V));
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TEST(autocorrelation_time(V*V));
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}
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@ -6,9 +6,11 @@ L = 100
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(autocorrelation_time_from_binning(A,intrinsic_variance)) ---> 80.2806
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(autocorrelation_time_from_binning(A)) ---> 106.764
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(autocorrelation_time_from_binning(A)) ---> 95.7671
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(autocorrelation_time(V)) ---> 41
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(autocorrelation_time(V)) ---> 40
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(autocorrelation_time(V*V)) ---> 40
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(autocorrelation_time_from_binning(V)) ---> 38.0031
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(autocorrelation_time(V*V)) ---> 37
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@ -437,7 +437,7 @@ namespace statistics {
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// ------ Auto-correlation time from binning --------------------
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template <typename TimeSeries> double autocorrelation_time_from_binning(TimeSeries const& A) {
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template <typename TimeSeries> double autocorrelation_time_from_binning2(TimeSeries const& A) {
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auto size = make_immutable_time_series(A).size();
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double var1 = empirical_variance(make_immutable_time_series(A));
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@ -462,5 +462,36 @@ namespace statistics {
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}
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return empirical_average(t);
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}
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template<typename TimeSeries>
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double t_cor(TimeSeries const & A, int bin_size, double var1){
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double var = empirical_variance(A);
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return .5 * var / var1 * bin_size;
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}
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template <typename TimeSeries> double autocorrelation_time_from_binning(TimeSeries const& A) {
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auto size = make_immutable_time_series(A).size();
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double var1 = empirical_variance(make_immutable_time_series(A));
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int B = 2;
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auto Ab=make_binned_series(A,2);
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double autocorr_time = t_cor(Ab, B, var1);
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double slope = 1.;
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int small_slope_count = 0;
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std::vector<double> t;
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while (small_slope_count < 5 && B < size / 10) {
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B*=2;
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Ab=make_binned_series(Ab,2);
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double t_cor_new = t_cor(Ab, B, var1);
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slope = (std::abs(t_cor_new - autocorr_time) / autocorr_time);
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if (slope < .5*1e-1) small_slope_count++;
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if (small_slope_count > 0) t.push_back(t_cor_new);
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autocorr_time = t_cor_new;
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//std::cout << B << "\t" << t_cor_new << "\t" << slope << std::endl;
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}
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if (t.size()>0) {return empirical_average(t);}
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else{ std::cout << "autocorrelation time not converged!!" << std::endl; return autocorr_time;}
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}
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} // namespace statistics
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} // triqs
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