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dft_tools/test/triqs/gfs/test_fourier_real_time.cpp
Olivier Parcollet 39edb2f846 [API change] gf : factories -> constructors
- Make more general constructors for the gf.
  gf( mesh, target_shape_t)
- remove the old make_gf for the basic gf.
- 2 var non generic gf removed.
- clean evaluator
- add tensor_valued
- add a simple vertex test.
- clean specialisation
- Fix bug introduced in 1906dc3
- forgot to resize the gf in new version of operator =
- Fix make_singularity in gf.hpp

- clean resize in operator =

- update h5 read/write for block gf
  - changed a bit the general trait to save *all* the gf.
  - allows a more general specialization, then a correct for blocks

- NOT FINISHED : need to save the block indice for python.
  How to reread ?
  Currently it read the blocks names and reconstitute the mesh from it.
  Is it sufficient ?

- clean block constructors

 - block constructors simplest possible : an int for the number of blocks
 - rest in free factories.
 - fixed the generic constructor from GfType for the regular type :
   only enable iif GfType is ImmutableGreenFunction

- multivar. fix linear index in C, and h5 format

  - linear index now correctly flatten in C mode
    (was in fortran mode), using a simple reverse of the tuple in the folding.
  - fix the h5 read write of the multivar fonctions
   in order to write an array on dimension # variables + dim_target
   i.e. without flattening the indices of the meshes.
   Easier for later data analysis, e.g. in Python.

- merge matrix/tensor_valued. improve factories

  - matrix_valued now = tensor_valued<2>
    (simplifies generic code for h5).
  - factories_one_var -> factories : this is the generic case ...
    only a few specialization, code is simpler.

- clef expression call with rvalue for *this
- generalize matrix_proxy to tensor and clean

 - clean exception catch in tests

  - exception catching catch in need in test
    because the silly OS X does not print anything, just "exception occurred".
    Very convenient for the developer...
  - BUT, one MUST add return 1, or the make test will *pass* !!
  - --> systematically replace the catch by a macro TRIQS_CATCH_AND_ABORT
    which return a non zero error code.
   - exception : curry_and_fourier which does not work at this stage
   (mesh incompatible).

- gf: clean draft of gf 2 times
  - comment the python interface for the moment.
  - rm useless tests
2013-10-21 15:11:44 +02:00

95 lines
3.2 KiB
C++

#define TRIQS_ARRAYS_ENFORCE_BOUNDCHECK
#include <triqs/gfs.hpp>
using namespace triqs::gfs;
using namespace triqs::arrays;
#define TEST(X) std::cout << BOOST_PP_STRINGIZE((X)) << " ---> "<< (X) <<std::endl<<std::endl;
#include <triqs/gfs/local/fourier_real.hpp>
double lorentzian(double w, double a){
return 2*a / (w*w + a*a) ;
};
std::complex<double> lorentzian_inverse(double t, double a){
return std::exp(-a*std::abs(t)) ;
};
double theta(double x){
return x>0 ? 1.0 : ( x<0 ? 0.0 : 0.5 ) ;
};
int main() {
double precision=10e-10;
H5::H5File file("fourier_real_time.h5",H5F_ACC_TRUNC);
std::complex<double> I(0,1);
//Test on the tail: GF in frequency that is a lorentzian, with its singularity, TF and TF^-1.
double wmax=10;
int Nw=1001;
auto Gw1 = gf<refreq> {{-wmax, wmax, Nw,full_bins}, {1,1}};
double a = Gw1.mesh().delta() * sqrt( Gw1.mesh().size() );
for(auto const & w:Gw1.mesh()) Gw1[w]=lorentzian(w,a);
Gw1.singularity()(2)=triqs::arrays::matrix<double>{{2.0*a}};
h5_write(file,"Gw1",Gw1); // the original lorentzian
auto Gt1 = inverse_fourier(Gw1);
h5_write(file,"Gt1",Gt1); // the lorentzian TF : lorentzian_inverse
// verification that TF(TF^-1)=Id
auto Gw1b = fourier(Gt1);
for(auto const & w:Gw1b.mesh()){
Gw1b[w]-=Gw1[w];
if ( std::abs(Gw1b[w](0,0)) > precision) TRIQS_RUNTIME_ERROR<<" fourier_real_time error : w="<<w<<" ,G1="<<std::abs(Gw1b[w](0,0))<<"\n";
}
h5_write(file,"Gw1b",Gw1b); // must be 0
// verification that TF is the lorentzian_inverse function
for(auto const & t:Gt1.mesh()){
Gt1[t]-=lorentzian_inverse(t,a);
if ( std::abs(Gt1[t](0,0)) > precision) TRIQS_RUNTIME_ERROR<<" fourier_real_time error : t="<<t<<" ,G1="<<std::abs(Gt1[t](0,0))<<"\n";
}
h5_write(file,"Gt1b",Gt1); // must be 0
//Test on the tail: GF in time that is a decreasing exponential
double tmax=10.;
int Nt=501;
auto Gt2 = gf<retime> {{-tmax, tmax, Nt}, {1,1}};
a = 2*acos(-1.) / ( Gt2.mesh().delta() *sqrt( Gt2.mesh().size() ) );
for(auto const & t:Gt2.mesh()) Gt2[t] = 0.5 *I * ( lorentzian_inverse(-t,a)*theta(-t)-lorentzian_inverse(t,a)*theta(t) );
//for(auto const & t:Gt2.mesh()) Gt2[t] = 0.5_j * ( lorentzian_inverse(-t,a)*theta(-t)-lorentzian_inverse(t,a)*theta(t) );
Gt2.singularity()(1)=triqs::arrays::matrix<double>{{1.0}};
h5_write(file,"Gt2",Gt2);
auto Gw2 = fourier(Gt2);
h5_write(file,"Gw2",Gw2);
for(auto const & w:Gw2.mesh()){
Gw2[w]-= 0.5/(w+a*I)+0.5/(w-a*I);
//Gw2[w]-= 0.5/(w+a*1_j)+0.5/(w-a*1_j);
if ( std::abs(Gw2[w](0,0)) > precision) TRIQS_RUNTIME_ERROR<<" fourier_real_time error : w="<<w<<" ,G2="<<std::abs(Gw2[w](0,0))<<"\n";
}
h5_write(file,"Gw2b",Gw2);
//Test : GF in time is a simple trigonometric function, the result is a sum of Dirac functions
tmax=4*acos(-1.);
auto Gt3 = gf<retime> {{-tmax, tmax, Nt}, {1,1}};
for(auto const & t:Gt3.mesh()) Gt3[t] = 1.0 * std::cos(10*t) + 0.25*std::sin(4*t) + 0.5 * I*std::sin(8*t+0.3*acos(-1.)) ;
//for(auto const & t:Gt3.mesh()) Gt3[t] = 1.0 * std::cos(10*t) + 0.25*std::sin(4*t) + 0.5_j*std::sin(8*t+0.3*acos(-1.)) ;
h5_write(file,"Gt3",Gt3);
auto Gw3 = fourier(Gt3);
h5_write(file,"Gw3",Gw3);
}