kig/misc/kignumerics.h

   1 /**
   2  This file is part of Kig, a KDE program for Interactive Geometry...
   3  Copyright (C) 2002  Maurizio Paolini <paolini@dmf.unicatt.it>
   4
   5  This program is free software; you can redistribute it and/or modify
   6  it under the terms of the GNU General Public License as published by
   7  the Free Software Foundation; either version 2 of the License, or
   8  (at your option) any later version.
   9
  10  This program is distributed in the hope that it will be useful,
  11  but WITHOUT ANY WARRANTY; without even the implied warranty of
  12  MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
  13  GNU General Public License for more details.
  14
  15  You should have received a copy of the GNU General Public License
  16  along with this program; if not, write to the Free Software
  17  Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA  02111-1307
  18  USA
  19 **/
  20
  21 #ifndef KIG_MISC_KIGNUMERICS_H
  22 #define KIG_MISC_KIGNUMERICS_H
  23
  24 #include <cmath>
  25
  26 double calcCubicRoot ( double xmin, double xmax, double a,
  27       double b, double c, double d, int root, bool& valid, int& numroots );
  28
  29 int calcCubicVariations (double x, double a, double b, double c,
  30       double d, double p1a, double p1b, double p0a);
  31
  32 double calcCubicRootwithNewton ( double ymin, double ymax, double a,
  33     double b, double c, double d, double tol );
  34
  35 // Gaussian Elimination.  We return false if the matrix is singular,
  36 // and can't be usefully eliminated..
  37 bool GaussianElimination( double *matrix[], int numrows, int numcols,
  38                           int scambio[] );
  39
  40 void BackwardSubstitution( double *matrix[], int numrows, int numcols,
  41                            int scambio[], double solution[] );
  42
  43 bool Invert3by3matrix ( const double m[3][3], double inv[3][3] );
  44
  45 #endif // KIG_MISC_KIGNUMERICS_H