MathUtils.h

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/***************************************************************************
                          MathUtils.h  -  description
                             -------------------
    copyright            : (C) 2004 by Marco Hugentobler
    email                : [email protected]
 ***************************************************************************/

/***************************************************************************
 *                                                                         *
 *   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 of the License, or     *
 *   (at your option) any later version.                                   *
 *                                                                         *
 ***************************************************************************/

#ifndef MATHUTILS_H
#define MATHUTILS_H

#include <cmath>
#include "Vector3D.h"
#include "Point3D.h"


namespace MathUtils
{
  bool ANALYSIS_EXPORT calcBarycentricCoordinates( double x, double y, Point3D* p1, Point3D* p2, Point3D* p3, Point3D* result );
  bool ANALYSIS_EXPORT BarycentricToXY( double u, double v, double w, Point3D* p1, Point3D* p2, Point3D* p3, Point3D* result );
  double ANALYSIS_EXPORT calcBernsteinPoly( int n, int i, double t );
  double ANALYSIS_EXPORT cFDerBernsteinPoly( int n, int i, double t );
  double ANALYSIS_EXPORT calcCubicHermitePoly( int n, int i, double t );
  double ANALYSIS_EXPORT cFDerCubicHermitePoly( int n, int i, double t );
  bool ANALYSIS_EXPORT circumcenter( Point3D* p1, Point3D* p2, Point3D* p3, Point3D* result );
  double ANALYSIS_EXPORT distPointFromLine( Point3D* thepoint, Point3D* p1, Point3D* p2 );
  int ANALYSIS_EXPORT faculty( int n );
  bool ANALYSIS_EXPORT inCircle( Point3D* testp, Point3D* p1, Point3D* p2, Point3D* p3 );
  bool ANALYSIS_EXPORT inDiametral( Point3D* p1, Point3D* p2, Point3D* point );
  double ANALYSIS_EXPORT leftOf( Point3D* thepoint, Point3D* p1, Point3D* p2 );
  bool ANALYSIS_EXPORT lineIntersection( Point3D* p1, Point3D* p2, Point3D* p3, Point3D* p4 );
  bool ANALYSIS_EXPORT lineIntersection( Point3D* p1, Point3D* p2, Point3D* p3, Point3D* p4, Point3D* intersection_point );
  int ANALYSIS_EXPORT lower( int n, int i );
  double ANALYSIS_EXPORT max( double x, double y );
  double ANALYSIS_EXPORT min( double x, double y );
  double ANALYSIS_EXPORT power( double a, int b );//calculates a power b
  double ANALYSIS_EXPORT triArea( Point3D* pa, Point3D* pb, Point3D* pc );
  bool ANALYSIS_EXPORT derVec( const Vector3D* v1, const Vector3D* v2, Vector3D* result, double x, double y );
  double ANALYSIS_EXPORT crossVec( Point3D* first, Vector3D* vec1, Point3D* second, Vector3D* vec2 );
  bool ANALYSIS_EXPORT normalLeft( Vector3D* v1, Vector3D* result, double length );
  bool ANALYSIS_EXPORT normalRight( Vector3D* v1, Vector3D* result, double length );
  void ANALYSIS_EXPORT normalFromPoints( Point3D* p1, Point3D* p2, Point3D* p3, Vector3D* vec );
  bool ANALYSIS_EXPORT pointInsideTriangle( double x, double y, Point3D* p1, Point3D* p2, Point3D* p3 );
  bool ANALYSIS_EXPORT normalMinDistance( Vector3D* tangent, Vector3D* target, Vector3D* result );
  double ANALYSIS_EXPORT planeTest( Point3D* test, Point3D* pt1, Point3D* pt2, Point3D* pt3 );
  double ANALYSIS_EXPORT angle( Point3D* p1, Point3D* p2, Point3D* p3, Point3D* p4 );
}

#endif