alps::gf Namespace Reference

Namespaces
	grid
	Grids definitions for real frequency mesh.
	mesh
	statistics

Classes
class	base_mesh
	Common part of interface and implementation for GF meshes. More...
class	generic_index
	A generic index. More...
class	index_mesh
class	itime_mesh
class	legendre_mesh
class	matsubara_mesh
class	momentum_index_mesh
class	momentum_realspace_index_mesh
class	numerical_mesh
class	piecewise_polynomial
	Class representing a piecewise polynomial and utilities. More...
class	power_mesh
class	real_frequency_mesh
	Mesh of real frequencies. More...
class	real_space_index_mesh

Typedefs
template<class VTYPE , class MESH1 >
using	one_index_gf = greenf< VTYPE, MESH1 >
template<class VTYPE , class MESH1 , class MESH2 >
using	two_index_gf = greenf< VTYPE, MESH1, MESH2 >
template<class VTYPE , class MESH1 , class MESH2 , class MESH3 >
using	three_index_gf = greenf< VTYPE, MESH1, MESH2, MESH3 >
template<class VTYPE , class MESH1 , class MESH2 , class MESH3 , class MESH4 >
using	four_index_gf = greenf< VTYPE, MESH1, MESH2, MESH3, MESH4 >
template<class VTYPE , class MESH1 , class MESH2 , class MESH3 , class MESH4 , class MESH5 >
using	five_index_gf = greenf< VTYPE, MESH1, MESH2, MESH3, MESH4, MESH5 >
template<class VTYPE , class MESH1 , class MESH2 , class MESH3 , class MESH4 , class MESH5 , class MESH6 >
using	six_index_gf = greenf< VTYPE, MESH1, MESH2, MESH3, MESH4, MESH5, MESH6 >
template<class VTYPE , class MESH1 , class MESH2 , class MESH3 , class MESH4 , class MESH5 , class MESH6 , class MESH7 >
using	seven_index_gf = greenf< VTYPE, MESH1, MESH2, MESH3, MESH4, MESH5, MESH6, MESH7 >
typedef greenf< std::complex< double >, matsubara_mesh< mesh::POSITIVE_ONLY >, real_space_index_mesh, real_space_index_mesh, index_mesh, index_mesh >	omega_r1_r2_sigma1_sigma2_gf
typedef greenf< double, itime_mesh, real_space_index_mesh, real_space_index_mesh, index_mesh, index_mesh >	itime_r1_r2_sigma1_sigma2_gf
typedef greenf< std::complex< double >, matsubara_mesh< mesh::POSITIVE_ONLY >, momentum_index_mesh, momentum_index_mesh, index_mesh >	omega_k1_k2_sigma_gf
typedef greenf< double, itime_mesh, momentum_index_mesh, momentum_index_mesh, index_mesh >	itime_k1_k2_sigma_gf
typedef greenf< std::complex< double >, matsubara_mesh< mesh::POSITIVE_ONLY >, real_space_index_mesh, real_space_index_mesh, index_mesh >	omega_r1_r2_sigma_gf
typedef greenf< double, itime_mesh, real_space_index_mesh, real_space_index_mesh, index_mesh >	itime_r1_r2_sigma_gf
typedef greenf< std::complex< double >, itime_mesh, real_space_index_mesh, real_space_index_mesh, index_mesh >	itime_r1_r2_sigma_complex_gf
typedef greenf< std::complex< double >, matsubara_mesh< mesh::POSITIVE_ONLY >, momentum_index_mesh, index_mesh, index_mesh >	omega_k_sigma1_sigma2_gf
typedef greenf< double, itime_mesh, momentum_index_mesh, index_mesh, index_mesh >	itime_k_sigma1_sigma2_gf
typedef greenf< std::complex< double >, matsubara_mesh< mesh::POSITIVE_ONLY >, momentum_index_mesh, index_mesh >	omega_k_sigma_gf
typedef greenf< double, itime_mesh, momentum_index_mesh, index_mesh >	itime_k_sigma_gf
typedef greenf< double, momentum_index_mesh, index_mesh, index_mesh >	k_sigma1_sigma2_gf
typedef greenf< std::complex< double >, matsubara_mesh< mesh::POSITIVE_ONLY >, index_mesh >	omega_sigma_gf
typedef greenf< double, itime_mesh, index_mesh >	itime_sigma_gf
typedef greenf< double, momentum_index_mesh, index_mesh >	k_sigma_gf
typedef greenf< std::complex< double >, matsubara_mesh< mesh::POSITIVE_ONLY > >	omega_gf
typedef greenf< double, itime_mesh >	itime_gf
typedef greenf< double, index_mesh >	sigma_gf
typedef greenf< double, legendre_mesh >	legendre_gf
typedef greenf< std::complex< double >, legendre_mesh >	complex_legendre_gf
typedef omega_k1_k2_sigma_gf	matsubara_gf
template<typename GFT , typename TAILT >
using	two_index_gf_with_tail = gf_tail< GFT, TAILT >
template<typename GFT , typename TAILT >
using	three_index_gf_with_tail = gf_tail< GFT, TAILT >
template<typename GFT , typename TAILT >
using	four_index_gf_with_tail = gf_tail< GFT, TAILT >
template<typename GFT , typename TAILT >
using	five_index_gf_with_tail = gf_tail< GFT, TAILT >
typedef two_index_gf_with_tail< omega_sigma_gf, one_index_gf< double, index_mesh > >	omega_sigma_gf_with_tail
typedef two_index_gf_with_tail< itime_sigma_gf, one_index_gf< double, index_mesh > >	itime_sigma_gf_with_tail
typedef three_index_gf_with_tail< omega_k_sigma_gf, two_index_gf< double, momentum_index_mesh, index_mesh > >	omega_k_sigma_gf_with_tail
typedef three_index_gf_with_tail< itime_k_sigma_gf, two_index_gf< double, momentum_index_mesh, index_mesh > >	itime_k_sigma_gf_with_tail
typedef four_index_gf_with_tail< omega_k1_k2_sigma_gf, three_index_gf< double, momentum_index_mesh, momentum_index_mesh, index_mesh > >	omega_k1_k2_sigma_gf_with_tail
typedef four_index_gf_with_tail< itime_k1_k2_sigma_gf, three_index_gf< double, momentum_index_mesh, momentum_index_mesh, index_mesh > >	itime_k1_k2_sigma_gf_with_tail
typedef four_index_gf_with_tail< omega_k_sigma1_sigma2_gf, three_index_gf< double, momentum_index_mesh, index_mesh, index_mesh > >	omega_k_sigma1_sigma2_gf_with_tail
typedef four_index_gf_with_tail< itime_k_sigma1_sigma2_gf, three_index_gf< double, momentum_index_mesh, index_mesh, index_mesh > >	itime_k_sigma1_sigma2_gf_with_tail
typedef four_index_gf_with_tail< omega_r1_r2_sigma_gf, three_index_gf< double, real_space_index_mesh, real_space_index_mesh, index_mesh > >	omega_r1_r2_sigma_gf_with_tail
typedef four_index_gf_with_tail< itime_r1_r2_sigma_gf, three_index_gf< double, real_space_index_mesh, real_space_index_mesh, index_mesh > >	itime_r1_r2_sigma_gf_with_tail
typedef four_index_gf_with_tail< itime_r1_r2_sigma_complex_gf, three_index_gf< double, real_space_index_mesh, real_space_index_mesh, index_mesh > >	itime_r1_r2_sigma_complex_gf_with_tail
typedef five_index_gf_with_tail< omega_r1_r2_sigma1_sigma2_gf, four_index_gf< double, real_space_index_mesh, real_space_index_mesh, index_mesh, index_mesh > >	omega_r1_r2_sigma1_sigma2_gf_with_tail
typedef five_index_gf_with_tail< itime_r1_r2_sigma1_sigma2_gf, four_index_gf< double, real_space_index_mesh, real_space_index_mesh, index_mesh, index_mesh > >	itime_r1_r2_sigma1_sigma2_gf_with_tail
template<class VTYPE , class... MESHES>
using	greenf = detail::gf_base< VTYPE, numerics::tensor< VTYPE, sizeof...(MESHES)>, MESHES... >
template<class VTYPE , class... MESHES>
using	greenf_view = detail::gf_base< VTYPE, numerics::tensor_view< VTYPE, sizeof...(MESHES)>, MESHES... >
typedef matsubara_mesh< mesh::POSITIVE_ONLY >	matsubara_positive_mesh
typedef matsubara_mesh< mesh::POSITIVE_NEGATIVE >	matsubara_pn_mesh
typedef matsubara_mesh< mesh::POSITIVE_ONLY >::index_type	matsubara_index
typedef matsubara_mesh< mesh::POSITIVE_NEGATIVE >::index_type	matsubara_pn_index
typedef itime_mesh::index_type	itime_index
typedef momentum_index_mesh::index_type	momentum_index
typedef real_space_index_mesh::index_type	real_space_index
typedef index_mesh::index_type	index
typedef real_frequency_mesh::index_type	real_freq_index
typedef legendre_mesh::index_type	legendre_index
typedef numerical_mesh< double >::index_type	numerical_mesh_index
template<typename HEADGF , typename TAILGF >
using	gf_tail = detail::gf_tail_base< HEADGF, TAILGF >

Functions
std::complex< double >	f_omega (double wn, double c1, double c2, double c3)
double	f_tau (double tau, double beta, double c1, double c2, double c3)
void	transform_vector_no_tail (const std::vector< std::complex< double > > &input_data, const std::vector< double > &omega, std::vector< double > &output_data, const std::vector< double > &tau, double beta)
	Fourier transform kernel of the omega -> tau transform. More...
template<class MESH1 >
void	fourier_frequency_to_time (const two_index_gf_with_tail< two_index_gf< std::complex< double >, matsubara_positive_mesh, MESH1 >, one_index_gf< double, MESH1 > > &g_omega, two_index_gf_with_tail< two_index_gf< double, itime_mesh, MESH1 >, one_index_gf< double, MESH1 > > &g_tau)
	Fourier transform a two-index matsubara gf to an imag time gf. More...
template<class MESH1 , class MESH2 >
void	fourier_frequency_to_time (const three_index_gf_with_tail< three_index_gf< std::complex< double >, matsubara_positive_mesh, MESH1, MESH2 >, two_index_gf< double, MESH1, MESH2 > > &g_omega, three_index_gf_with_tail< three_index_gf< double, itime_mesh, MESH1, MESH2 >, two_index_gf< double, MESH1, MESH2 > > &g_tau)
	Fourier transform a three-index matsubara gf to an imag time gf. More...
template<class MESH1 , class MESH2 , class MESH3 >
void	fourier_frequency_to_time (const four_index_gf_with_tail< four_index_gf< std::complex< double >, matsubara_positive_mesh, MESH1, MESH2, MESH3 >, three_index_gf< double, MESH1, MESH2, MESH3 > > &g_omega, four_index_gf_with_tail< four_index_gf< double, itime_mesh, MESH1, MESH2, MESH3 >, three_index_gf< double, MESH1, MESH2, MESH3 > > &g_tau)
	Fourier transform a four-index matsubara gf to an imag time gf. More...
template<class MESH1 , class MESH2 , class MESH3 , class MESH4 >
void	fourier_frequency_to_time (const five_index_gf_with_tail< five_index_gf< std::complex< double >, matsubara_positive_mesh, MESH1, MESH2, MESH3, MESH4 >, four_index_gf< double, MESH1, MESH2, MESH3, MESH4 > > &g_omega, five_index_gf_with_tail< five_index_gf< double, itime_mesh, MESH1, MESH2, MESH3, MESH4 >, four_index_gf< double, MESH1, MESH2, MESH3, MESH4 > > &g_tau)
	Fourier transform a five-index matsubara gf to an imag time gf. More...
std::ostream &	operator<< (std::ostream &os, const real_frequency_mesh &M)
template<mesh::frequency_positivity_type PTYPE>
std::ostream &	operator<< (std::ostream &os, const matsubara_mesh< PTYPE > &M)
	Stream output operator, e.g. for printing to file. More...
template<mesh::frequency_positivity_type PTYPE>
void	swap (matsubara_mesh< PTYPE > &a, matsubara_mesh< PTYPE > &b)
	Swaps two Matsubara meshes. More...
std::ostream &	operator<< (std::ostream &os, const itime_mesh &M)
	Stream output operator, e.g. for printing to file. More...
std::ostream &	operator<< (std::ostream &os, const power_mesh &M)
	Stream output operator, e.g. for printing to file. More...
std::ostream &	operator<< (std::ostream &os, const momentum_realspace_index_mesh &M)
	Stream output operator, e.g. for printing to file. More...
std::ostream &	operator<< (std::ostream &os, const index_mesh &M)
	Stream output operator, e.g. for printing to file. More...
std::ostream &	operator<< (std::ostream &os, const legendre_mesh &M)
	Stream output operator, e.g. for printing to file. More...
template<typename T >
piecewise_polynomial< T >	operator+ (const piecewise_polynomial< T > &f1, const piecewise_polynomial< T > &f2)
	Add piecewise_polynomial objects. More...
template<typename T >
piecewise_polynomial< T >	operator- (const piecewise_polynomial< T > &f1, const piecewise_polynomial< T > &f2)
	Substract piecewise_polynomial objects. More...
template<typename T >
const piecewise_polynomial< T >	operator* (T scalar, const piecewise_polynomial< T > &pp)
	Multiply piecewise_polynomial by a scalar. More...
template<typename T >
void	orthonormalize (std::vector< piecewise_polynomial< T > > &pps)
	Gram-Schmidt orthonormalization. More...

Variables
static const int	TAIL_NOT_SET =-1
	Special tail order meaning the tail is not set. More...

Typedef Documentation

typedef greenf<std::complex<double>, legendre_mesh> alps::gf::complex_legendre_gf

Definition at line 54 of file gf.hpp.

template<class VTYPE , class MESH1 , class MESH2 , class MESH3 , class MESH4 , class MESH5 >

using alps::gf::five_index_gf = typedef greenf<VTYPE, MESH1, MESH2, MESH3, MESH4, MESH5>

Definition at line 25 of file gf.hpp.

template<typename GFT , typename TAILT >

using alps::gf::five_index_gf_with_tail = typedef gf_tail<GFT, TAILT>

Definition at line 65 of file gf.hpp.

template<class VTYPE , class MESH1 , class MESH2 , class MESH3 , class MESH4 >

using alps::gf::four_index_gf = typedef greenf<VTYPE, MESH1, MESH2, MESH3, MESH4>

Definition at line 23 of file gf.hpp.

template<typename GFT , typename TAILT >

using alps::gf::four_index_gf_with_tail = typedef gf_tail<GFT, TAILT>

Definition at line 63 of file gf.hpp.

template<typename HEADGF , typename TAILGF >

using alps::gf::gf_tail = typedef detail::gf_tail_base<HEADGF, TAILGF>

Definition at line 44 of file tail_base.hpp.

template<class VTYPE , class... MESHES>

using alps::gf::greenf = typedef detail::gf_base<VTYPE, numerics::tensor<VTYPE, sizeof...(MESHES)>, MESHES...>

Definition of regular GF with dedicated storage

Definition at line 62 of file gf_base.hpp.

template<class VTYPE , class... MESHES>

using alps::gf::greenf_view = typedef detail::gf_base<VTYPE, numerics::tensor_view<VTYPE, sizeof...(MESHES)>, MESHES...>

Definition of GF as view of existent data array

Definition at line 67 of file gf_base.hpp.

typedef index_mesh::index_type alps::gf::index

Definition at line 1247 of file mesh.hpp.

typedef greenf< double , itime_mesh> alps::gf::itime_gf

Definition at line 51 of file gf.hpp.

typedef itime_mesh::index_type alps::gf::itime_index

Definition at line 1244 of file mesh.hpp.

typedef greenf< double , itime_mesh , momentum_index_mesh, momentum_index_mesh, index_mesh> alps::gf::itime_k1_k2_sigma_gf

Definition at line 35 of file gf.hpp.

typedef four_index_gf_with_tail<itime_k1_k2_sigma_gf, three_index_gf<double, momentum_index_mesh, momentum_index_mesh, index_mesh> > alps::gf::itime_k1_k2_sigma_gf_with_tail

Definition at line 74 of file gf.hpp.

typedef greenf< double , itime_mesh , momentum_index_mesh, index_mesh, index_mesh> alps::gf::itime_k_sigma1_sigma2_gf

Definition at line 40 of file gf.hpp.

typedef four_index_gf_with_tail<itime_k_sigma1_sigma2_gf, three_index_gf<double, momentum_index_mesh, index_mesh, index_mesh> > alps::gf::itime_k_sigma1_sigma2_gf_with_tail

Definition at line 77 of file gf.hpp.

typedef greenf< double , itime_mesh , momentum_index_mesh, index_mesh> alps::gf::itime_k_sigma_gf

Definition at line 43 of file gf.hpp.

typedef three_index_gf_with_tail<itime_k_sigma_gf, two_index_gf<double, momentum_index_mesh, index_mesh> > alps::gf::itime_k_sigma_gf_with_tail

Definition at line 71 of file gf.hpp.

typedef greenf< double , itime_mesh , real_space_index_mesh,real_space_index_mesh, index_mesh, index_mesh> alps::gf::itime_r1_r2_sigma1_sigma2_gf

Definition at line 32 of file gf.hpp.

typedef five_index_gf_with_tail<itime_r1_r2_sigma1_sigma2_gf, four_index_gf<double, real_space_index_mesh, real_space_index_mesh, index_mesh,index_mesh> > alps::gf::itime_r1_r2_sigma1_sigma2_gf_with_tail

Definition at line 84 of file gf.hpp.

typedef greenf<std::complex<double>, itime_mesh , real_space_index_mesh, real_space_index_mesh, index_mesh> alps::gf::itime_r1_r2_sigma_complex_gf

Definition at line 38 of file gf.hpp.

typedef four_index_gf_with_tail<itime_r1_r2_sigma_complex_gf, three_index_gf<double, real_space_index_mesh, real_space_index_mesh, index_mesh> > alps::gf::itime_r1_r2_sigma_complex_gf_with_tail

Definition at line 81 of file gf.hpp.

typedef greenf< double , itime_mesh , real_space_index_mesh, real_space_index_mesh, index_mesh> alps::gf::itime_r1_r2_sigma_gf

Definition at line 37 of file gf.hpp.

typedef four_index_gf_with_tail<itime_r1_r2_sigma_gf, three_index_gf<double, real_space_index_mesh, real_space_index_mesh, index_mesh> > alps::gf::itime_r1_r2_sigma_gf_with_tail

Definition at line 80 of file gf.hpp.

typedef greenf< double , itime_mesh, index_mesh> alps::gf::itime_sigma_gf

Definition at line 47 of file gf.hpp.

typedef two_index_gf_with_tail<itime_sigma_gf, one_index_gf<double, index_mesh> > alps::gf::itime_sigma_gf_with_tail

Definition at line 68 of file gf.hpp.

typedef greenf< double , momentum_index_mesh, index_mesh, index_mesh> alps::gf::k_sigma1_sigma2_gf

Definition at line 44 of file gf.hpp.

typedef greenf<double, momentum_index_mesh, index_mesh> alps::gf::k_sigma_gf

Definition at line 48 of file gf.hpp.

typedef greenf< double , legendre_mesh> alps::gf::legendre_gf

Definition at line 53 of file gf.hpp.

typedef legendre_mesh::index_type alps::gf::legendre_index

Definition at line 1249 of file mesh.hpp.

typedef omega_k1_k2_sigma_gf alps::gf::matsubara_gf

Definition at line 56 of file gf.hpp.

typedef matsubara_mesh<mesh::POSITIVE_ONLY>::index_type alps::gf::matsubara_index

Definition at line 1242 of file mesh.hpp.

typedef matsubara_mesh<mesh::POSITIVE_NEGATIVE>::index_type alps::gf::matsubara_pn_index

Definition at line 1243 of file mesh.hpp.

typedef matsubara_mesh<mesh::POSITIVE_NEGATIVE> alps::gf::matsubara_pn_mesh

Definition at line 1241 of file mesh.hpp.

typedef matsubara_mesh<mesh::POSITIVE_ONLY> alps::gf::matsubara_positive_mesh

Definition at line 1240 of file mesh.hpp.

typedef momentum_index_mesh::index_type alps::gf::momentum_index

Definition at line 1245 of file mesh.hpp.

typedef numerical_mesh<double>::index_type alps::gf::numerical_mesh_index

Definition at line 1250 of file mesh.hpp.

typedef greenf<std::complex<double>, matsubara_mesh<mesh::POSITIVE_ONLY> > alps::gf::omega_gf

Definition at line 50 of file gf.hpp.

typedef greenf<std::complex<double>, matsubara_mesh<mesh::POSITIVE_ONLY>, momentum_index_mesh, momentum_index_mesh, index_mesh> alps::gf::omega_k1_k2_sigma_gf

Definition at line 34 of file gf.hpp.

typedef four_index_gf_with_tail<omega_k1_k2_sigma_gf, three_index_gf<double, momentum_index_mesh, momentum_index_mesh, index_mesh> > alps::gf::omega_k1_k2_sigma_gf_with_tail

Definition at line 73 of file gf.hpp.

typedef greenf<std::complex<double>, matsubara_mesh<mesh::POSITIVE_ONLY>, momentum_index_mesh, index_mesh, index_mesh> alps::gf::omega_k_sigma1_sigma2_gf

Definition at line 39 of file gf.hpp.

typedef four_index_gf_with_tail<omega_k_sigma1_sigma2_gf, three_index_gf<double, momentum_index_mesh, index_mesh, index_mesh> > alps::gf::omega_k_sigma1_sigma2_gf_with_tail

Definition at line 76 of file gf.hpp.

typedef greenf<std::complex<double>, matsubara_mesh<mesh::POSITIVE_ONLY>, momentum_index_mesh, index_mesh> alps::gf::omega_k_sigma_gf

Definition at line 42 of file gf.hpp.

typedef three_index_gf_with_tail<omega_k_sigma_gf, two_index_gf<double, momentum_index_mesh, index_mesh> > alps::gf::omega_k_sigma_gf_with_tail

Definition at line 70 of file gf.hpp.

typedef greenf<std::complex<double>, matsubara_mesh<mesh::POSITIVE_ONLY>, real_space_index_mesh,real_space_index_mesh, index_mesh, index_mesh> alps::gf::omega_r1_r2_sigma1_sigma2_gf

Definition at line 31 of file gf.hpp.

typedef five_index_gf_with_tail<omega_r1_r2_sigma1_sigma2_gf, four_index_gf<double, real_space_index_mesh, real_space_index_mesh, index_mesh,index_mesh> > alps::gf::omega_r1_r2_sigma1_sigma2_gf_with_tail

Definition at line 83 of file gf.hpp.

typedef greenf<std::complex<double>, matsubara_mesh<mesh::POSITIVE_ONLY>, real_space_index_mesh, real_space_index_mesh, index_mesh> alps::gf::omega_r1_r2_sigma_gf

Definition at line 36 of file gf.hpp.

typedef four_index_gf_with_tail<omega_r1_r2_sigma_gf, three_index_gf<double, real_space_index_mesh, real_space_index_mesh, index_mesh> > alps::gf::omega_r1_r2_sigma_gf_with_tail

Definition at line 79 of file gf.hpp.

typedef greenf<std::complex<double>, matsubara_mesh<mesh::POSITIVE_ONLY>, index_mesh> alps::gf::omega_sigma_gf

Definition at line 46 of file gf.hpp.

typedef two_index_gf_with_tail<omega_sigma_gf, one_index_gf<double, index_mesh> > alps::gf::omega_sigma_gf_with_tail

Definition at line 67 of file gf.hpp.

template<class VTYPE , class MESH1 >

using alps::gf::one_index_gf = typedef greenf<VTYPE, MESH1>

Definition at line 17 of file gf.hpp.

typedef real_frequency_mesh::index_type alps::gf::real_freq_index

Definition at line 1248 of file mesh.hpp.

typedef real_space_index_mesh::index_type alps::gf::real_space_index

Definition at line 1246 of file mesh.hpp.

template<class VTYPE , class MESH1 , class MESH2 , class MESH3 , class MESH4 , class MESH5 , class MESH6 , class MESH7 >

using alps::gf::seven_index_gf = typedef greenf<VTYPE, MESH1, MESH2, MESH3, MESH4, MESH5, MESH6, MESH7>

Definition at line 29 of file gf.hpp.

typedef greenf< double , index_mesh> alps::gf::sigma_gf

Definition at line 52 of file gf.hpp.

template<class VTYPE , class MESH1 , class MESH2 , class MESH3 , class MESH4 , class MESH5 , class MESH6 >

using alps::gf::six_index_gf = typedef greenf<VTYPE, MESH1, MESH2, MESH3, MESH4, MESH5, MESH6>

Definition at line 27 of file gf.hpp.

template<class VTYPE , class MESH1 , class MESH2 , class MESH3 >

using alps::gf::three_index_gf = typedef greenf<VTYPE, MESH1, MESH2, MESH3>

Definition at line 21 of file gf.hpp.

template<typename GFT , typename TAILT >

using alps::gf::three_index_gf_with_tail = typedef gf_tail<GFT, TAILT>

Definition at line 61 of file gf.hpp.

template<class VTYPE , class MESH1 , class MESH2 >

using alps::gf::two_index_gf = typedef greenf<VTYPE, MESH1, MESH2>

Definition at line 19 of file gf.hpp.

template<typename GFT , typename TAILT >

using alps::gf::two_index_gf_with_tail = typedef gf_tail<GFT, TAILT>

Definition at line 59 of file gf.hpp.

Function Documentation

std::complex<double> alps::gf::f_omega ( double  wn, double  c1, double  c2, double  c3  )

inline

Definition at line 12 of file fourier.hpp.

double alps::gf::f_tau ( double  tau, double  beta, double  c1, double  c2, double  c3  )

inline

Definition at line 18 of file fourier.hpp.

template<class MESH1 >

void alps::gf::fourier_frequency_to_time	(	const two_index_gf_with_tail< two_index_gf< std::complex< double >, matsubara_positive_mesh, MESH1 >, one_index_gf< double, MESH1 > > &	g_omega,
		two_index_gf_with_tail< two_index_gf< double, itime_mesh, MESH1 >, one_index_gf< double, MESH1 > > &	g_tau
	)

Fourier transform a two-index matsubara gf to an imag time gf.

Definition at line 33 of file fourier.hpp.

template<class MESH1 , class MESH2 >

void alps::gf::fourier_frequency_to_time	(	const three_index_gf_with_tail< three_index_gf< std::complex< double >, matsubara_positive_mesh, MESH1, MESH2 >, two_index_gf< double, MESH1, MESH2 > > &	g_omega,
		three_index_gf_with_tail< three_index_gf< double, itime_mesh, MESH1, MESH2 >, two_index_gf< double, MESH1, MESH2 > > &	g_tau
	)

Fourier transform a three-index matsubara gf to an imag time gf.

Definition at line 56 of file fourier.hpp.

template<class MESH1 , class MESH2 , class MESH3 >

void alps::gf::fourier_frequency_to_time	(	const four_index_gf_with_tail< four_index_gf< std::complex< double >, matsubara_positive_mesh, MESH1, MESH2, MESH3 >, three_index_gf< double, MESH1, MESH2, MESH3 > > &	g_omega,
		four_index_gf_with_tail< four_index_gf< double, itime_mesh, MESH1, MESH2, MESH3 >, three_index_gf< double, MESH1, MESH2, MESH3 > > &	g_tau
	)

Fourier transform a four-index matsubara gf to an imag time gf.

Definition at line 81 of file fourier.hpp.

template<class MESH1 , class MESH2 , class MESH3 , class MESH4 >

void alps::gf::fourier_frequency_to_time	(	const five_index_gf_with_tail< five_index_gf< std::complex< double >, matsubara_positive_mesh, MESH1, MESH2, MESH3, MESH4 >, four_index_gf< double, MESH1, MESH2, MESH3, MESH4 > > &	g_omega,
		five_index_gf_with_tail< five_index_gf< double, itime_mesh, MESH1, MESH2, MESH3, MESH4 >, four_index_gf< double, MESH1, MESH2, MESH3, MESH4 > > &	g_tau
	)

Fourier transform a five-index matsubara gf to an imag time gf.

Definition at line 108 of file fourier.hpp.

template<typename T >

const piecewise_polynomial<T> alps::gf::operator*	(	T	scalar,
		const piecewise_polynomial< T > &	pp
	)

Multiply piecewise_polynomial by a scalar.

Definition at line 428 of file piecewise_polynomial.hpp.

template<typename T >

piecewise_polynomial<T> alps::gf::operator+	(	const piecewise_polynomial< T > &	f1,
		const piecewise_polynomial< T > &	f2
	)

Add piecewise_polynomial objects.

Definition at line 415 of file piecewise_polynomial.hpp.

template<typename T >

piecewise_polynomial<T> alps::gf::operator-	(	const piecewise_polynomial< T > &	f1,
		const piecewise_polynomial< T > &	f2
	)

Substract piecewise_polynomial objects.

Definition at line 422 of file piecewise_polynomial.hpp.

std::ostream & alps::gf::operator<<	(	std::ostream &	os,
		const real_frequency_mesh &	M
	)

Definition at line 40 of file mesh.cpp.

template<mesh::frequency_positivity_type PTYPE>

std::ostream& alps::gf::operator<<	(	std::ostream &	os,
		const matsubara_mesh< PTYPE > &	M
	)

Stream output operator, e.g. for printing to file.

Definition at line 340 of file mesh.hpp.

std::ostream & alps::gf::operator<<	(	std::ostream &	os,
		const itime_mesh &	M
	)

Stream output operator, e.g. for printing to file.

Definition at line 11 of file mesh.cpp.

std::ostream & alps::gf::operator<<	(	std::ostream &	os,
		const power_mesh &	M
	)

Stream output operator, e.g. for printing to file.

Definition at line 18 of file mesh.cpp.

std::ostream & alps::gf::operator<<	(	std::ostream &	os,
		const momentum_realspace_index_mesh &	M
	)

Stream output operator, e.g. for printing to file.

Definition at line 25 of file mesh.cpp.

std::ostream & alps::gf::operator<<	(	std::ostream &	os,
		const index_mesh &	M
	)

Stream output operator, e.g. for printing to file.

Definition at line 35 of file mesh.cpp.

std::ostream & alps::gf::operator<<	(	std::ostream &	os,
		const legendre_mesh &	M
	)

Stream output operator, e.g. for printing to file.

Definition at line 46 of file mesh.cpp.

template<typename T >

void alps::gf::orthonormalize

(

std::vector< piecewise_polynomial< T > > &

pps

)

Gram-Schmidt orthonormalization.

Definition at line 440 of file piecewise_polynomial.hpp.

template<mesh::frequency_positivity_type PTYPE>

void alps::gf::swap	(	matsubara_mesh< PTYPE > &	a,
		matsubara_mesh< PTYPE > &	b
	)

Swaps two Matsubara meshes.

Definition at line 350 of file mesh.hpp.

void alps::gf::transform_vector_no_tail ( const std::vector< std::complex< double > > &  input_data, const std::vector< double > &  omega, std::vector< double > &  output_data, const std::vector< double > &  tau, double  beta  )

inline

Fourier transform kernel of the omega -> tau transform.

Definition at line 23 of file fourier.hpp.

Variable Documentation

const int alps::gf::TAIL_NOT_SET =-1

static

Special tail order meaning the tail is not set.

Definition at line 14 of file tail_base.hpp.