Quantum GIS API Documentation  1.8
src/analysis/interpolation/MathUtils.h
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00001 /***************************************************************************
00002                           MathUtils.h  -  description
00003                              -------------------
00004     copyright            : (C) 2004 by Marco Hugentobler
00005     email                : mhugent@geo.unizh.ch
00006  ***************************************************************************/
00007 
00008 /***************************************************************************
00009  *                                                                         *
00010  *   This program is free software; you can redistribute it and/or modify  *
00011  *   it under the terms of the GNU General Public License as published by  *
00012  *   the Free Software Foundation; either version 2 of the License, or     *
00013  *   (at your option) any later version.                                   *
00014  *                                                                         *
00015  ***************************************************************************/
00016 
00017 #ifndef MATHUTILS_H
00018 #define MATHUTILS_H
00019 
00020 #include <cmath>
00021 #include "Vector3D.h"
00022 #include "Point3D.h"
00023 
00024 
00025 namespace MathUtils
00026 {
00028   bool ANALYSIS_EXPORT calcBarycentricCoordinates( double x, double y, Point3D* p1, Point3D* p2, Point3D* p3, Point3D* result );
00029   bool ANALYSIS_EXPORT BarycentricToXY( double u, double v, double w, Point3D* p1, Point3D* p2, Point3D* p3, Point3D* result );
00031   double ANALYSIS_EXPORT calcBernsteinPoly( int n, int i, double t );
00033   double ANALYSIS_EXPORT cFDerBernsteinPoly( int n, int i, double t );
00035   double ANALYSIS_EXPORT calcCubicHermitePoly( int n, int i, double t );
00037   double ANALYSIS_EXPORT cFDerCubicHermitePoly( int n, int i, double t );
00039   bool ANALYSIS_EXPORT circumcenter( Point3D* p1, Point3D* p2, Point3D* p3, Point3D* result );
00041   double ANALYSIS_EXPORT distPointFromLine( Point3D* thepoint, Point3D* p1, Point3D* p2 );
00043   int ANALYSIS_EXPORT faculty( int n );
00045   bool ANALYSIS_EXPORT inCircle( Point3D* testp, Point3D* p1, Point3D* p2, Point3D* p3 );
00047   bool ANALYSIS_EXPORT inDiametral( Point3D* p1, Point3D* p2, Point3D* point );
00049   double ANALYSIS_EXPORT leftOf( Point3D* thepoint, Point3D* p1, Point3D* p2 );
00051   bool ANALYSIS_EXPORT lineIntersection( Point3D* p1, Point3D* p2, Point3D* p3, Point3D* p4 );
00053   bool ANALYSIS_EXPORT lineIntersection( Point3D* p1, Point3D* p2, Point3D* p3, Point3D* p4, Point3D* intersection_point );
00055   int ANALYSIS_EXPORT lower( int n, int i );
00057   double ANALYSIS_EXPORT max( double x, double y );
00059   double ANALYSIS_EXPORT min( double x, double y );
00061   double ANALYSIS_EXPORT power( double a, int b );//calculates a power b
00063   double ANALYSIS_EXPORT triArea( Point3D* pa, Point3D* pb, Point3D* pc );
00065   bool ANALYSIS_EXPORT derVec( const Vector3D* v1, const Vector3D* v2, Vector3D* result, double x, double y );
00067   double ANALYSIS_EXPORT crossVec( Point3D* first, Vector3D* vec1, Point3D* second, Vector3D* vec2 );
00069   bool ANALYSIS_EXPORT normalLeft( Vector3D* v1, Vector3D* result, double length );
00071   bool ANALYSIS_EXPORT normalRight( Vector3D* v1, Vector3D* result, double length );
00073   void ANALYSIS_EXPORT normalFromPoints( Point3D* p1, Point3D* p2, Point3D* p3, Vector3D* vec );
00075   bool ANALYSIS_EXPORT pointInsideTriangle( double x, double y, Point3D* p1, Point3D* p2, Point3D* p3 );
00077   bool ANALYSIS_EXPORT normalMinDistance( Vector3D* tangent, Vector3D* target, Vector3D* result );
00079   double ANALYSIS_EXPORT planeTest( Point3D* test, Point3D* pt1, Point3D* pt2, Point3D* pt3 );
00081   double ANALYSIS_EXPORT angle( Point3D* p1, Point3D* p2, Point3D* p3, Point3D* p4 );
00082 }
00083 
00084 #endif
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