mirror of
https://github.com/triqs/dft_tools
synced 2024-10-31 19:23:45 +01:00
132 lines
3.9 KiB
C++
132 lines
3.9 KiB
C++
#include <triqs/det_manip/det_manip.hpp>
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#include <triqs/mc_tools/random_generator.hpp>
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#include <triqs/arrays/linalg/det_and_inverse.hpp>
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#include <triqs/arrays/asserts.hpp>
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#include <iostream>
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#include <triqs/utility/complex_ops.hpp>
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struct fun {
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typedef std::complex<double> result_type;
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typedef double argument_type;
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/*double f(double eps, double tau, double beta) const {
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bool s = (tau>0);
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tau = (s ? tau : beta + tau);
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return (s ? 1 : -1 ) * exp( - eps* (tau)) / (1 + exp(- beta *eps));
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}*/
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std::complex<double> operator()(double x, double y) const {
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const double pi = acos(-1);
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const double beta = 10.0;
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const double epsi = 0.1;
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double tau = x-y;
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bool s = (tau>0);
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tau = (s ? tau : beta + tau);
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double r = epsi + tau/beta *(1-2*epsi);
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return - 2*(pi/beta)/ std::sin ( pi *r);
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//return - 0.5*(f(0.12, x-y, beta) + f(0.43,x-y,beta) ); //+ f(-0.7,x-y,beta));
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}
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};
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template<class T1, class T2 >
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void assert_close( T1 const & A, T2 const & B, double precision) {
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std::cerr << " assert_close "<< A << " "<< B<< " "<< std::abs(A-B) <<" "<< precision << std::endl;
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if ( std::abs(A-B) > precision) TRIQS_RUNTIME_ERROR<<"assert_close error : "<<A<<"\n"<<B;
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}
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const double PRECISION = 1.e-6;
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struct test {
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fun f;
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triqs::det_manip::det_manip<fun> D;
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std::complex<double> det_old,detratio;
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test() : f(), D(f,100) {}
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void check() {
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#ifndef PRINT_ALL
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std::cerr << "det = " << D.determinant() << " == " << std::complex<double>(determinant(D.matrix()))<< std::endl;
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#else
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std::cerr << "det = " << D.determinant() << " == " << std::complex<double>(determinant(D.matrix()))<< std::endl <<
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D.inverse_matrix() << D.matrix() << triqs::arrays::matrix<std::complex<double>>(inverse(D.matrix()))<< std::endl;
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std::cerr << "det_old = " << det_old << "detratio = "<< detratio<< " determin "<< D.determinant() <<std::endl;
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#endif
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assert_close(D.determinant() , long(1)/determinant(D.inverse_matrix())(), PRECISION);
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triqs::arrays::assert_all_close( inverse(D.matrix()) , D.inverse_matrix(), PRECISION, true);
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assert_close( det_old * detratio , D.determinant(), PRECISION);
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}
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void run() {
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triqs::mc_tools::random_generator RNG("mt19937", 23432);
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for (size_t i =0; i< 100; ++i) {
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std::cerr<<" ------------------------------------------------"<<std::endl;
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std::cerr <<" i = "<< i << " size = "<< D.size() << std::endl;
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// choose a move
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int mn = RNG(4);
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size_t s = D.size();
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size_t i0,j0,i1,j1;
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det_old = D.determinant();
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detratio=1;
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double x,y,x1,y1;
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bool do_something = true;
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switch(RNG(( i>10 ? 4 : 1))) {
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case 0 :
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std::cerr << " insert1" << std::endl;
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x = RNG(10.0), y = RNG(10.0);
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std::cerr << " x,y = "<< x << " "<< y << std::endl;
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detratio = D.try_insert(RNG(s),RNG(s), x,y);
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break;
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case 1 :
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std::cerr << " remove1" << std::endl;
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if (s>0) detratio = D.try_remove(RNG(s),RNG(s));
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break;
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case 2:
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std::cerr << " Insert2" << std::endl;
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x = RNG(10.0); x1 = RNG(10.0);
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y = RNG(10.0); y1 = RNG(10.0);
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i0 = RNG(s); i1 = RNG(s+1);
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j0 = RNG(s); j1 = RNG(s+1);
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if ((i0 !=i1)&& (j0!=j1))
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{
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detratio = D.try_insert2(i0,i1,j0,j1, x,x1,y,y1);
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}
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else do_something = false;
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break;
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case 3:
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std::cerr << " Remove2" << std::endl;
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if (D.size()>=2) {
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i0 = RNG(s); i1 = RNG(s);
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j0 = RNG(s); j1 = RNG(s);
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if ((i0 !=i1)&& (j0!=j1)) {
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detratio = D.try_remove2(i0,i1,j0,j1);
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}
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else do_something = false;
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}
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break;
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default :
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TRIQS_RUNTIME_ERROR <<" TEST INTERNAL ERROR" ;
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};
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if (do_something) {
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if (std::abs(detratio*det_old)> PRECISION) {
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D.complete_operation();
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if (D.size() >0) check();
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}
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else { std::cerr << " reject since new det is = " << std::abs(detratio*det_old)<<std::endl;}
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}
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}
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}
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};
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int main(int argc, char **argv) {
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test().run();
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}
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