math_funcs.h

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/* Copyright (C) 2000, 2001 Patrick Eriksson <patrick@rss.chalmers.se>
                            Stefan Buehler   <sbuehler@uni-bremen.de>

   This program is free software; you can redistribute it and/or modify it
   under the terms of the GNU General Public License as published by the
   Free Software Foundation; either version 2, or (at your option) any
   later version.

   This program is distributed in the hope that it will be useful,
   but WITHOUT ANY WARRANTY; without even the implied warranty of
   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
   GNU General Public License for more details.

   You should have received a copy of the GNU General Public License
   along with this program; if not, write to the Free Software
   Foundation, Inc., 59 Temple Place - Suite 330, Boston, MA 02111-1307,
   USA. */



//   File description

#ifndef math_funcs_h
#define math_funcs_h

#include "matpackI.h"
#include "mystring.h"




Numeric first( ConstVectorView x );

Numeric last( ConstVectorView x );




bool any( const ArrayOfIndex& x ); 



// Functions to generate vectors

void linspace(                      
              Vector&     x,           
              const Numeric  start,    
              const Numeric  stop,        
              const Numeric  step );

Vector linspace(             
                const Numeric  start, 
                const Numeric  stop,  
                const Numeric  step );

void nlinspace(         
              Vector&     x, 
              const Numeric     start,     
              const Numeric     stop,        
              const Index       n );

Vector nlinspace(         
                 const Numeric     start, 
                 const Numeric     stop,  
                 const Index         n );

void nlogspace(         
               Vector&     x, 
               const Numeric     start,     
               const Numeric     stop,        
               const Index         n );

Vector nlogspace(  
                 const Numeric     start, 
                 const Numeric     stop,  
                 const Index         n );



//   Interpolation routines

void interp_lin_vector( VectorView       yi,
                        ConstVectorView  x, 
                        ConstVectorView  y, 
                        ConstVectorView  xi );

void interp_lin_matrix(    
                       MatrixView        Yi,
                       ConstVectorView   x, 
                       ConstMatrixView   Y, 
                       ConstVectorView   xi );

Numeric interp_lin(         
                   ConstVectorView  x, 
                   ConstVectorView  y, 
                   const Numeric  xi );



//   Check of function input

void check_if_bool( const Index& x, const String& x_name );

void check_if_in_range( 
   const Numeric& x_low, 
   const Numeric& x_high, 
   const Numeric& x, 
   const String&  x_name );

void check_lengths( const Vector& x1, const String& x1_name,
                     const Vector& x2, const String& x2_name );

void check_length_nrow( const Vector& x, const String& x_name,
                         const Matrix& A, const String& A_name );

void check_length_ncol( const Vector& x, const String& x_name,
                         const Matrix& A, const String& A_name );

void check_ncol_nrow( const Matrix& A, const String& A_name,
                      const Matrix& B, const String& B_name );

#endif  // math_funcs_h

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