FTd_tools.cpp

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#include <FTd_tools.h>
#include <math.h>
#include <TRUSTTabFT.h>
 
/*! @brief Cette fonction calcule le max de la norme d'un ensemble de vecteurs
 *
 * @param (vecteurs) vecteurs a mesurer
 * @return (double) le max du deplacement
 */
double FTd_calculer_max_norme_vecteurs(const DoubleTab& vecteurs)
{
  int som,k;
  double norme2max = 0., norme2;
  int nbsom = vecteurs.dimension(0);
  for (som=0 ; som<nbsom ; som++)
    {
      norme2 = vecteurs(som,0) * vecteurs(som,0);
      for (k=1 ; k<Objet_U::dimension ; k++)
        {
          norme2 += vecteurs(som,k) * vecteurs(som,k);
        }
      if (norme2>norme2max)
        {
          norme2max = norme2;
        }
    }
 
  return sqrt(norme2max);
}
 
// The area of a triangle is half of the cross-product!
double FTd_calculer_aire_triangle(const FTd_vecteur2& coord_som0,
                                  const FTd_vecteur2& coord_som1,
                                  const FTd_vecteur2& coord_som2)
{
  double x0 = coord_som0[0];
  double y0 = coord_som0[1];
 
  double x1 = coord_som1[0];
  double y1 = coord_som1[1];
 
  double x2 = coord_som2[0];
  double y2 = coord_som2[1];
 
  double aire_tr = 0.5*((x1-x0) * (y2-y0) - (y1-y0) * (x2-x0));
 
  return aire_tr;
}
double FTd_calculer_volume_tetraedre(const FTd_vecteur3& coord_som0,
                                     const FTd_vecteur3& coord_som1,
                                     const FTd_vecteur3& coord_som2,
                                     const FTd_vecteur3& coord_som3)
{
  double x0 = coord_som0[0];
  double y0 = coord_som0[1];
  double z0 = coord_som0[2];
 
  double x1 = coord_som1[0];
  double y1 = coord_som1[1];
  double z1 = coord_som1[2];
 
  double x2 = coord_som2[0];
  double y2 = coord_som2[1];
  double z2 = coord_som2[2];
 
  double x3 = coord_som3[0];
  double y3 = coord_som3[1];
  double z3 = coord_som3[2];
 
  double vol = (  (x1-x0)*( (y2-y0)*(z3-z0)-(y3-y0)*(z2-z0) )
                  - (x2-x0)*( (y1-y0)*(z3-z0)-(y3-y0)*(z1-z0) )
                  + (x3-x0)*( (y1-y0)*(z2-z0)-(y2-y0)*(z1-z0) ) )/6;
 
  return vol;
}
 
//en numerotation globale, cette fonction renvoie
// -1 si som0 < som1
//  0 si som0 = som1
//  1 si som0 > som1
//En numerotation globale,
// som0=som1 si
//  - peO==pe1 && som0==som1
// som0<som1
//  - pe0<pe1 ou (pe0==pe1 && som0<som1)
// som0>som1
//  - pe0>pe1 ou (pe0==pe1 && som0>som1)
int FTd_compare_sommets_global(int pe0, int numOwner0, int pe1, int numOwner1)
{
  if (pe0==pe1)
    {
      if (numOwner0==numOwner1)
        {
          return 0;
        }
      else if (numOwner0<numOwner1)
        {
          return -1;
        }
    }
  else if (pe0<pe1)
    {
      return -1;
    }
 
  return 1;
}