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//  =================================================================
//
//   CCP4 Coordinate Library: support of coordinate-related
//   functionality in protein crystallography applications.
//
//   Copyright (C) Eugene Krissinel 2000-2008.
//
//    This library is free software: you can redistribute it and/or
//    modify it under the terms of the GNU Lesser General Public
//    License version 3, modified in accordance with the provisions
//    of the license to address the requirements of UK law.
//
//    You should have received a copy of the modified GNU Lesser
//    General Public License along with this library. If not, copies
//    may be downloaded from http://www.ccp4.ac.uk/ccp4license.php
//
//    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 Lesser General Public License for more details.
//
//  =================================================================
//
//    09.04.03   <--  Date of Last Modification.
//                   ~~~~~~~~~~~~~~~~~~~~~~~~~~~~
//  -----------------------------------------------------------------
//
//  **** Module  :  Math_ <interface>
//       ~~~~~~~~~
//  **** Functions :   GetTorsion
//       ~~~~~~~~~~~   GetAngle
//
//  (C) E. Krissinel 2000-2008
//
//  =================================================================
//


#ifndef  __Math__
#define  __Math__

#ifndef  __MatType__
#include "mattype_.h"
#endif


// ------------------------------------------------------------------

#define  NO_TORSION  (-MaxReal)
//  U[0,1,2] = x,y,z
extern realtype GetTorsion   ( rvector U, rvector W, rvector V );
extern realtype GetAngle     ( rvector U, rvector V );

//  Calculates the binomial coefficient n choose m, 0<=n<=500, 0<=m<=n
extern realtype Combinations ( int n, int m );

//  Calculates precisely log(1-x) for x<1, including very small x
extern realtype log1mx  ( realtype x );

//  Calculates precisely 1 - exp(x) for any x including very small values
extern realtype expc    ( realtype x );

//  Calculates precisely 1-(1-x)**y including very small x and very large y
extern realtype expc1mx ( realtype x, realtype y );



#endif