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- examples split from the rst file using a python script (split_code). - Final result for the doc is unchanged. - examples are compiled and tested with the other tests. - examples' code have been clang-formatted, with triqs style. - doc compiles much faster, and with the same options as the rest of the test. - examples are added as tests, so they are run by make test, as simple C tests. - done for the tutorials and the reference. - autocompile removed (changed into triqs_example directive). - add triqs_example : - make a literal include of the source code. - runs the compiled example - add, as before, the result to the source code in the doc. - added the script split_code, used to make the changes automatically, maybe for later reuse. (in _tools)
92 lines
2.3 KiB
ReStructuredText
92 lines
2.3 KiB
ReStructuredText
.. highlight:: c
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.. _gf_imtime:
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Matsubara imaginary time
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==========================================================
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This is a specialisation of :ref:`gf<gf_and_view>` for imaginary Matsubara time.
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Synopsis
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------------
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.. code::
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gf<imtime, 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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The domain is the set of real numbers between 0 and :math:`\beta`
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since the function is periodic (resp. antiperiodic) for bosons (resp. fermions), i.e.
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* :math:`G(\tau+\beta)=-G(\tau)` for fermions
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* :math:`G(\tau+\beta)=G(\tau)` for bosons.
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The domain is implemented in the class :doxy:`matsubara_time_domain<triqs::gfs::matsubara_domain>`.
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The mesh is :doxy:`matsubara_time_mesh<triqs::gfs::matsubara_time_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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* Use a linear interpolation between the two closest point of 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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TO DO : complex OR DOUBLE : FIX and document !!
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HDF5 storage convention
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---------------------------
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h5 tag : `ImTime`
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Examples
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---------
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.. triqs_example:: ./gf_imtime_0.cpp
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