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/****************************************************************************
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** This file is part of the LibreCAD project, a 2D CAD program
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** Copyright (C) 2010 R. van Twisk (librecad@rvt.dds.nl)
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** Copyright (C) 2001-2003 RibbonSoft. All rights reserved.
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** This file may be distributed and/or modified under the terms of the
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** GNU General Public License version 2 as published by the Free Software
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** Foundation and appearing in the file gpl-2.0.txt included in the
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** packaging of this file.
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** This program is distributed in the hope that it will be useful,
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** but WITHOUT ANY WARRANTY; without even the implied warranty of
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** MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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** GNU General Public License for more details.
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** You should have received a copy of the GNU General Public License
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** along with this program; if not, write to the Free Software
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** Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA
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** This copyright notice MUST APPEAR in all copies of the script!
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**********************************************************************/
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// no idea why, but doesn't link without that under win32 / bcc55:
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// RVT port abs issue on latest compiler?
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#include "rs_vector.h"
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//#define min(x,y) (x<y ? x : y)
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//#define max(x,y) (x>y ? x : y)
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#define ARAD 57.29577951308232
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#define RS_TOLERANCE 1.0e-10
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#define RS_TOLERANCE15 1.5e-15
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#define RS_TOLERANCE2 1.0e-20
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#define RS_TOLERANCE_ANGLE 1.0e-8
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//typedef unsigned int uint;
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static int round(double v);
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static double pow(double x, double y);
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static RS_Vector pow(RS_Vector x, double y);
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//static double abs(double v);
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//static int abs(int v);
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static double rad2deg(double a);
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static double deg2rad(double a);
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static double rad2gra(double a);
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static int findGCD(int a, int b);
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static bool isAngleBetween(double a,
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bool reversed = false);
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static double correctAngle(double a);
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static double getAngleDifference(double a1, double a2, bool reversed = false);
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static double makeAngleReadable(double angle, bool readable=true,
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bool* corrected=NULL);
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static bool isAngleReadable(double angle);
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static bool isSameDirection(double dir1, double dir2, double tol);
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static double eval(const QString& expr, double def=0.0);
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static bool cmpDouble(double v1, double v2, double tol=0.001);
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//swap of two variables
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static void swap( T &a, T &b) {
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static double eval(const QString& expr, bool* ok);
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static std::vector<double> quadraticSolver(const std::vector<double>& ce);
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static std::vector<double> cubicSolver(const std::vector<double>& ce);
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* x^4 + ce[0] x^3 + ce[1] x^2 + ce[2] x + ce[3] = 0
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@ce, a vector of size 4 contains the coefficient in order
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@return, a vector contains real roots
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static std::vector<double> quarticSolver(const std::vector<double>& ce);
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* ce[4] x^4 + ce[3] x^3 + ce[2] x^2 + ce[1] x + ce[0] = 0
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@ce, a vector of size 5 contains the coefficient in order
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@return, a vector contains real roots
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static std::vector<double> quarticSolverFull(const std::vector<double>& ce);
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//solver for linear equation set
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* Solve linear equation set
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*@ mt holds the augmented matrix
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*@ sn holds the solution
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*@ return true, if the equation set has a unique solution, return false otherwise
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static bool linearSolver(const QVector<QVector<double> >& m, QVector<double>& sn);
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/** solver quadratic simultaneous equations of a set of two **/
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/* solve the following quadratic simultaneous equations,
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* ma000 x^2 + ma011 y^2 - 1 =0
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* ma100 x^2 + 2 ma101 xy + ma111 y^2 + mb10 x + mb11 y +mc1 =0
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*@m, a vector of size 8 contains coefficients in the strict order of:
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ma000 ma011 ma100 ma101 ma111 mb10 mb11 mc1
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*@return a RS_VectorSolutions contains real roots (x,y)
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static RS_VectorSolutions simultaneousQuadraticSolver(const std::vector<double>& m);
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/** solver quadratic simultaneous equations of a set of two **/
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/* solve the following quadratic simultaneous equations,
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* ma000 x^2 + ma001 xy + ma011 y^2 + mb00 x + mb01 y + mc0 =0
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* ma100 x^2 + ma101 xy + ma111 y^2 + mb10 x + mb11 y + mc1 =0
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*@m, a vector of size 2 each contains a vector of size 6 coefficients in the strict order of:
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ma000 ma001 ma011 mb00 mb01 mc0
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ma100 ma101 ma111 mb10 mb11 mc1
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*@return a RS_VectorSolutions contains real roots (x,y)
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static RS_VectorSolutions simultaneousQuadraticSolverFull(const std::vector<std::vector<double> >& m);
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static RS_VectorSolutions simultaneousQuadraticSolverMixed(const std::vector<std::vector<double> >& m);
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/** verify a solution for simultaneousQuadratic
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*@m the coefficient matrix
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*@v, a candidate to verify
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*@return true, for a valid solution
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static bool simultaneousQuadraticVerify(const std::vector<std::vector<double> >& m, const RS_Vector& v);
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/** wrapper for elliptic integral **/
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* wrapper of elliptic integral of the second type, Legendre form
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*@k the elliptic modulus or eccentricity
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*@phi elliptic angle, must be within range of [0, M_PI]
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static double ellipticIntegral_2(const double& k, const double& phi);
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static QString doubleToString(double value, double prec);
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static QString doubleToString(double value, int prec);
added
removed
librecad/src/lib/math/rs_math.h
