.. _file_numerics_cheby_fit.h:

File cheby_fit.h
================

|exhale_lsh| :ref:`Parent directory <dir_numerics>` (``numerics``)

.. |exhale_lsh| unicode:: U+021B0 .. UPWARDS ARROW WITH TIP LEFTWARDS



Generic piecewise-Chebyshev polynomial model: fitting and evaluation. 



.. contents:: Contents
   :local:
   :backlinks: none

Definition (``numerics/cheby_fit.h``)
-------------------------------------


.. toctree::
   :maxdepth: 1

   program_listing_file_numerics_cheby_fit.h.rst



Detailed Description
--------------------

Extracted from the anonymous namespace of :ref:`file_conversions_frame_conversions.cc` so that :ref:`file_conversions_time_conversions.cc` (TL−TT fit) and :ref:`file_conversions_frame_conversions.cc` (orientation fit) both use the same infrastructure.

ChebyshevFitSegment — one polynomial segment in [t_mid±t_radius] ChebyshevFitModel — piecewise collection of segments, with Eval() FitChebyshevModel() — sample a function at Chebyshev-Gauss nodes and DCT-fit 




Includes
--------


- ``algorithm``

- ``cmath``

- ``functional``

- ``lupnt/core/constants.h``

- ``lupnt/interfaces/spice_cheby.h``

- ``stdexcept``

- ``vector`` (:ref:`file_numerics_vector_macros.h`)



Included By
-----------


- :ref:`file_agents_gnss_constellation.h`

- :ref:`file_conversions_frame_conversions.cc`

- :ref:`file_conversions_time_conversions.cc`

- :ref:`file_interfaces_sp3_loader.h`

- :ref:`file_lupnt.h`

- :ref:`file_measurements_gnss_measurement.h`




Namespaces
----------


- :ref:`namespace_lupnt`


Classes
-------


- :ref:`exhale_struct_structlupnt_1_1ChebyshevFitModel`

- :ref:`exhale_struct_structlupnt_1_1ChebyshevFitSegment`


Functions
---------


- :ref:`exhale_function_namespacelupnt_1a462804ff7ce8199d66d558f7bd967ddb`