mirror of
https://github.com/triqs/dft_tools
synced 2024-10-31 19:23:45 +01:00
76 lines
2.5 KiB
C++
76 lines
2.5 KiB
C++
#define TRIQS_ARRAYS_ENFORCE_BOUNDCHECK
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#include <triqs/gf/re_im_freq.hpp>
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#include <triqs/gf/re_im_time.hpp>
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#include <triqs/gf/refreq_imtime.hpp>
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#include <triqs/gf/local/fourier_real.hpp>
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#include <triqs/arrays.hpp>
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namespace tql= triqs::clef;
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using namespace triqs::gf;
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int main() {
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double precision=10e-9;
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double beta =1.;
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double tmin=0.;
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double tmax=1.0;
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int n_re_time=100;
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int n_im_time=100;
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double wmin=0.;
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double wmax=1.0;
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int n_re_freq=100;
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int n_im_freq=100;
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auto G_t_tau= make_gf<re_im_time, scalar_valued>( tmin, tmax, n_re_time, beta, Fermion, n_im_time);
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auto G_w_wn = make_gf<re_im_freq, scalar_valued>( wmin, wmax, n_re_freq, beta, Fermion, n_im_freq);
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auto G_w_tau= make_gf<refreq_imtime, scalar_valued>(wmin, wmax, n_re_freq, beta, Fermion, n_im_time);
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auto G_w= make_gf<refreq, scalar_valued>(wmin, wmax, n_re_freq);
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triqs::clef::placeholder<0> w_;
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triqs::clef::placeholder<1> wn_;
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triqs::clef::placeholder<2> tau_;
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G_w_wn(w_,wn_)<<1/(wn_-1)/( pow(w_,3) );
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G_w_tau(w_,tau_)<< exp( -2*tau_ ) / (w_*w_ + 1 );
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int index = n_re_freq/3;
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double tau = std::get<1>(G_w_tau.mesh().components())[index];
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//identical functions
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G_w(w_) << exp( -2*tau ) / (w_*w_ + 1 );
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//the singularity must be removed as it is inexistent in re_im_time, to give the same TF.
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G_w.singularity()(0)=triqs::arrays::matrix<double>{{0}};
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G_w.singularity()(1)=triqs::arrays::matrix<double>{{0}};
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G_w.singularity()(2)=triqs::arrays::matrix<double>{{0}};
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auto G_w2 = slice_mesh_imtime(G_w_tau, index);
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for(auto& w:G_w.mesh())
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if ( std::abs(G_w(w)-G_w2(w)) > precision) TRIQS_RUNTIME_ERROR<<" fourier_slice error : w="<< w <<" ,G_w="<< G_w(w)<<" ,G_w2="<< G_w2(w) <<"\n";
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//test of the interpolation
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std::cout << G_t_tau(0.789,0.123) << std::endl;
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std::cout << G_w_wn( 0.789,0.123) << std::endl;
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std::cout << G_w_tau(0.789,0.123) << std::endl;
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// test hdf5
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H5::H5File file("gf_re_im_freq_time.h5", H5F_ACC_TRUNC );
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h5_write(file, "g_t_tau", G_t_tau);
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h5_write(file, "g_w_wn", G_w_wn);
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h5_write(file, "g_w_tau", G_w_tau);
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// try to slice it
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auto gt = slice_mesh_imtime(G_t_tau, 1);
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h5_write(file, "gt0", gt);
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auto gw = slice_mesh_imtime(G_w_tau, 1);
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h5_write(file, "gw0", gw);
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//comparison of the TF of the one time and sliced two times GF's
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auto G_t = inverse_fourier(G_w);
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auto G_t2 = inverse_fourier(slice_mesh_imtime(G_w_tau, index) );
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for(auto& t:G_t.mesh())
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if ( std::abs(G_t(t)-G_t2(t)) > precision) TRIQS_RUNTIME_ERROR<<" fourier_slice_re_time error : t="<< t <<" ,G_t="<< G_t(t) <<" ,G_t2="<< G_t2(t) <<"\n";
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}
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