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https://github.com/triqs/dft_tools
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bdac3e159c
- little details : code cleaning, clang formatting, along with documentation writing for c++ gf. - separated the mesh in small class for better doc. - work on documentation : reorganize specialisation, ...
97 lines
2.3 KiB
ReStructuredText
97 lines
2.3 KiB
ReStructuredText
.. highlight:: c
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.. _gf_refreq:
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Real frequencies
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==========================================================
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This is a specialisation of :ref:`gf<gf_and_view>` for real frequencies.
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Synopsis
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------------
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.. code::
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gf<refreq, Target, Opt>
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The *Target* template parameter can take the following values :
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+-------------------------+-----------------------------------------------------+
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| Target | Meaning |
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+=========================+=====================================================+
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| scalar_valued | The function is scalar valued (double, complex...). |
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+-------------------------+-----------------------------------------------------+
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| matrix_valued [default] | The function is matrix valued. |
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+-------------------------+-----------------------------------------------------+
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Domain & mesh
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----------------
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CORRECT THIS !! PUT OUT THE C++ impl for doxy doc
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The domain is :doxy:`matsubara_freq_domain<triqs::gfs::matsubara_domain>`.
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The mesh is :doxy:`matsubara_freq_mesh<triqs::gfs::matsubara_freq_mesh>`.
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Singularity
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-------------
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The singularity is a high frequency expansion, :ref:`gf_tail`.
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Evaluation method
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---------------------
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* Linear interpolation on the mesh.
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* Return type :
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* If Target==scalar_valued : a complex
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* If Target==matrix_valued : an object modeling ImmutableMatrix concept.
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* When the point is outside of the mesh, the evaluation of the gf returns :
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* the evaluation of the high frequency tail if no_tail is not set.
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* 0 otherwise
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Data storage
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---------------
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* If Target==scalar_valued :
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* `data_t` : 1d array of complex<double>.
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* g.data()(i) is the value of g for the i-th point of the mesh.
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* If Target==matrix_valued :
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* `data_t` : 3d array (C ordered) of complex<double>.
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* g.data()(i, range(), range()) is the value of g for the i-th point of the mesh.
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HDF5 storage convention
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---------------------------
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h5 tag : `ReFreq`
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Examples
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---------
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.. compileblock::
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#include <triqs/gfs.hpp>
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using namespace triqs::gfs;
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int main() {
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double wmin=0, wmax=10; // Frequencies interval
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auto n_freq=100; // Number of points
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// We want a 2x2 matrix valued function on this mesh...
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auto g = gf<refreq> { {wmin, wmax, n_freq}, {2,2} };
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};
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