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/*! 
  \file calcephchebyshev.h
  \brief private API for calceph library
         compute chebychev coefficients

  \author  M. Gastineau 
           Astronomie et Systemes Dynamiques, IMCCE, CNRS, Observatoire de Paris. 

   Copyright, 2011-2018, CNRS
   email of the author : Mickael.Gastineau@obspm.fr
 
 History :
*/
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/*-----------------------------------------------------------------*/
/* License  of this file :
 This file is "triple-licensed", you have to choose one  of the three licenses 
 below to apply on this file.
 
    CeCILL-C
    	The CeCILL-C license is close to the GNU LGPL.
    	( http://www.cecill.info/licences/Licence_CeCILL-C_V1-en.html )
   
 or CeCILL-B
        The CeCILL-B license is close to the BSD.
        (http://www.cecill.info/licences/Licence_CeCILL-B_V1-en.txt)
  
 or CeCILL v2.1
      The CeCILL license is compatible with the GNU GPL.
      ( http://www.cecill.info/licences/Licence_CeCILL_V2.1-en.html )
 

This library is governed by the CeCILL-C, CeCILL-B or the CeCILL license under 
French law and abiding by the rules of distribution of free software.  
You can  use, modify and/ or redistribute the software under the terms 
of the CeCILL-C,CeCILL-B or CeCILL license as circulated by CEA, CNRS and INRIA  
at the following URL "http://www.cecill.info". 

As a counterpart to the access to the source code and  rights to copy,
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with a limited warranty  and the software's author,  the holder of the
economic rights,  and the successive licensors  have only  limited
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In this respect, the user's attention is drawn to the risks associated
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software by the user in light of its specific status of free software,
that may mean  that it is complicated to manipulate,  and  that  also
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*/
/*-----------------------------------------------------------------*/

#ifndef __CALCEPH_CHEBYSHEV__
#define __CALCEPH_CHEBYSHEV__

/*-----------------------------------------------------------------*/
/* private API */
/*-----------------------------------------------------------------*/

/*! compute the chebychev coefficients Cp[0:N-1] of order 0 using the time Tc  */
void calceph_chebyshev_order_0(double Cp[/*N*/], int N, double Tc);

/*! compute the chebychev coefficients Up[0:N-1] of order 1 using the time Tc and  chebychev coefficients  of order 0 */
void calceph_chebyshev_order_1(double Up[/*N*/], int N, double Tc, const double Cp[/*N*/]);

/*! compute the chebychev coefficients Vp[0:N-1] of order 2 using the time Tc  */
void calceph_chebyshev_order_2(double Vp[/*N*/], int N, double Tc, const double Up[/*N*/]);

/*! compute the chebychev coefficients Wp[0:N-1] of order 3 using the time Tc and  chebychev coefficients  of order 0 */
void calceph_chebyshev_order_3(double Wp[/*N*/], int N, double Tc, const double Vp[/*N*/]);


/* ! interpolate the function f using the coefficients A and the chebychev polynomial using Cp[0:N-1]
 for Ncomp components. The stride between the data is 0 */
void calceph_interpolate_chebyshev_order_0_stride_0(int Ncomp, double f[/*3*/], int N, const double Cp[/*N*/],const double A[/*N*/]);

/* ! interpolate the function f using the coefficients A and the chebychev polynomial using Cp[0:N-1]
 for 3 components. The stride between the data is 3  */
void calceph_interpolate_chebyshev_order_0_stride_3(double f[/*3*/], int N, const double Cp[/*N*/],const double A[/*N*/]);

/* ! interpolate the function f using the coefficients A and the chebychev polynomial using Up[1:N-1]
 for Ncomp components. The stride between the data is 0 */
void calceph_interpolate_chebyshev_order_1_stride_0(int Ncomp, double f[/*3*/], int N, const double Up[/*N*/],const double A[/*N*/], double factor);

/* ! interpolate the function f using the coefficients A and the chebychev polynomial using Up[1:N-1]
 for 3 components. The stride between the data is 3  */
void calceph_interpolate_chebyshev_order_1_stride_3(double f[/*3*/], int N, const double Up[/*N*/],const double A[/*N*/], double factor);

/* ! interpolate the function f using the coefficients A[0:NA] and the chebychev polynomial using Up[1:N-1]
 for 3 components. The stride between the data is nstride  */
void calceph_interpolate_chebyshev_order_1_stride_n(double f[/*3*/], int N, const double Up[/*N*/],const double A[/*N*/], int NA, double factor, int Nstride);

/* ! interpolate the function f using the coefficients A and the chebychev polynomial using Vp[2:N-1]
 for Ncomp components. The stride between the data is 0 */
void calceph_interpolate_chebyshev_order_2_stride_0(int Ncomp, double f[/*3*/], int N, const double Vp[/*N*/],const double A[/*N*/], double factor);

/* ! interpolate the function f using the coefficients A and the chebychev polynomial using Vp[2:N-1]
 for 3 components. The stride between the data is 3  */
void calceph_interpolate_chebyshev_order_2_stride_3(double f[/*3*/], int N, const double Vp[/*N*/],const double A[/*N*/], double factor);

/* ! interpolate the function f using the coefficients A[0:NA] and the chebychev polynomial using Vp[2:N-1]
 for 3 components. The stride between the data is nstride  */
void calceph_interpolate_chebyshev_order_2_stride_n(double f[/*3*/], int N, const double Vp[/*N*/],const double A[/*N*/], int NA, double factor, int Nstride);

/* ! interpolate the function f using the coefficients A and the chebychev polynomial using Wp[2:N-1]
 for Ncomp components. The stride between the data is 0 */
void calceph_interpolate_chebyshev_order_3_stride_0(int Ncomp, double f[/*3*/], int N, const double Wp[/*N*/],const double A[/*N*/], double factor);

/* ! interpolate the function f using the coefficients A and the chebychev polynomial using Wp[2:N-1]
 for 3 components. The stride between the data is 3  */
void calceph_interpolate_chebyshev_order_3_stride_3(double f[/*3*/], int N, const double Wp[/*N*/],const double A[/*N*/], double factor);


#endif
