File indexing completed on 2024-04-21 03:40:38

 /*************************************************************************************
  *  Copyright (C) 2007-2009 by Aleix Pol <aleixpol@kde.org>                          *
  *  Copyright (C) 2010-2013 by Percy Camilo T. Aucahuasi <percy.camilo.ta@gmail.com> *
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  *  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.                           *
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  *  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.                                     *
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  *  along with this program; if not, write to the Free Software                      *
  *  Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301, USA   *
  *************************************************************************************/
 
 #ifndef MATHUTILS_H
 #define MATHUTILS_H
 
 #include <QLineF>
 #include <QPair>
 #include <QVector3D>
 
 double radiansToDegrees(double rad);
 
 double radiansToGradians(double rad);
 
 QPointF polarToCartesian(double radial, double polar);
 
 void cartesianToPolar(double x, double y, double &radial, double &polar);
 
 QVector3D cylindricalToCartesian(double radial, double polar, double height);
 
 QVector3D sphericalToCartesian(double radial, double azimuth, double polar);
 
 bool isSimilar(double a, double b, double diff = .0000001);
 
 bool oppositeSign(double a, double b);
 
 bool inInterval(double val, double from, double to);
 
 bool traverse(double p1, double p2, double next);
 
 QLineF slopeToLine(const double &der);
 
 QLineF mirrorXY(const QLineF& l);
 
 // greatest common divisor of two nonnegative integers (Binary GCD algorithm, iterative version, source: Wikipedia Dec. 2013)
 unsigned int gcd(unsigned int u, unsigned int v);
 
 QPair<unsigned int, unsigned int> simplifyFraction(unsigned int n, unsigned int d);
 
 #endif