mesh::imfreq

Synopsis:

class mesh::imfreq;

Matsubara frequency mesh

The class matsubara_freq_mesh is the implementation of a mesh of fermionic (\(\frac{(2n+1)\pi}{\beta}\)) or bosonic (\(\frac{2n\pi}{\beta}\)) Matsubara frequencies.

The mesh can span either only positive frequencies or both positive and negative frequencies (which is necessary for complex functions \(G(\tau)\)).

Pictorial representation of mesh::imfreq({beta, Fermion/Boson, 3, all_frequencies/positive_frequencies_only}). See

Member types

Member type	Comment
domain_t	type of the domain: matsubara_freq_domain
index_t	type of the Matsubara index $n$ (as in $iomega_n$)
linear_index_t	type of the linear index
default_interpol_policy
domain_pt_t	type of the domain point
mesh_point_t	Type of the mesh point
const_iterator	Iterating on all the points…

Member functions

Member function	Comment
constructor	constructor
domain	The corresponding domain
size	Size (linear) of the mesh of the window
full_size	Size (linear) of the mesh of the window
index_to_point	From an index of a point in the mesh, returns the corresponding point in the domain
index_to_linear	Flatten the index in the positive linear index for memory storage (almost trivial here).
linear_to_index	Reverse of index_to_linear
first_index	first Matsubara index
last_index	last Matsubara index
first_index_window	first Matsubara index of the window
last_index_window	last Matsubara index of the window
positive_only	Is the mesh only for positive omega_n (G(tau) real))
operator[]	Accessing a point of the mesh from its index
is_within_boundary	Is the point in mesh ?

Non Member functions

Non member function	Comment
mpi_scatter	Scatter a mesh over the communicator c
mpi_gather	Opposite of scatter
h5_write	Write into HDF5
h5_read	Read from HDF5