Mathc initiation/c36a8

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	x_zyx.h

/* ---------------------------------- */
/* save as x_zyx.h                   */
/* --------------------------------- */
double intz_dzdydx(
double (*P_f)(double x, double y, double z),

double (*Pz0)(double x, double y),
double (*Pz1)(double x, double y),
   int   nz,

double    y,

double    x
)
{
   int i = 0;
double m = 0.;
double M = 0.;

 for(i = 0; i <= nz; i++)
 {
       if(i ==0 || i== nz){m = 1.;}
  else if(fmod(i,2) ==  0){m = 2.;}
  else                    {m = 4.;}

  M += m * (*P_f)( x, y, ((*Pz0)(x,y)) + i*(((*Pz1)(x,y))-((*Pz0)(x,y)))/nz);
 }

  return( ((((*Pz1)(x,y)) -((*Pz0)(x,y)))*M) / (3*nz) );
}
/* --------------------------------- */
double inty_dzdydx(
double (*P_f)(double x, double y, double z),
   
double (*Pz0)(double x, double y),
double (*Pz1)(double x, double y),
   int    nz,

double (*Py0)(double x),
double (*Py1)(double x),
   int    ny,
   
double x
)
{
   int i = 0;
double m = 0.;
double M = 0.;

 for(i = 0; i <= ny; i++)
 {
       if(i ==0 || i== ny){m = 1.;}
  else if(fmod(i,2) ==  0){m = 2.;}
  else                    {m = 4.;}

  M += m * intz_dzdydx(     
      (*P_f),
      (*Pz0),(*Pz1),nz,          
     (((*Py0)(x))+i*(((*Py1)(x))-((*Py0)(x)))/ny),     
          x);
 }

 return( ((((*Py1)(x)) -((*Py0)(x)))*M) / (3*ny) );
}
/* --------------------------------- */
double simpson_dzdydx(
double (*P_f)(double x, double y, double z),
   
double (*Pz0)(double x, double y),
double (*Pz1)(double x, double y),
   int   nz,
      
double (*Py0)(double x),
double (*Py1)(double x),
   int   ny,

double   x0,
double   x1,
   int   nx
)
{
   int i = 0;
double m = 0.;
double M = 0.;

 for(i = 0; i <= nx; i++)
 {
       if(i ==0 || i== nx){m = 1.;}
  else if(fmod(i,2) ==  0){m = 2.;}
  else                    {m = 4.;}

  M += m * inty_dzdydx(     
      (*P_f),          
      (*Pz0),(*Pz1),nz,      
      (*Py0),(*Py1),ny,  
      (x0+i*(x1-x0)/nx));
 }

  return( ((x1 -x0)*M) / (3*nx) );
}
/* --------------------------------- */
/* --------------------------------- */

Les fonctions pour calculer les intégrales de la forme dzdydx