Mathc initiation/c36a7

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	x_zxy.h

/* ---------------------------------- */
/* save as x_zxy.h                   */
/* --------------------------------- */
double intz_dzdxdy(
double (*P_f)(double x, double y, double z),

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

double    x,

double    y
)
{
   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 intx_dzdxdy(
double (*P_f)(double x, double y, double z),
   
double (*Pz0)(double x, double y),
double (*Pz1)(double x, double y),
   int   nz,

double (*Px0)(double y),
double (*Px1)(double y),
   int   nx,

double    y
)
{
   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 * intz_dzdxdy(      
  (*P_f),     
  (*Pz0),(*Pz1),nz,         
(((*Px0)(y))+i*(((*Px1)(y))-((*Px0)(y)))/nx),
     y);
 }

 return( ((((*Px1)(y)) -((*Px0)(y)))*M) / (3*nx) );
}
/* --------------------------------- */
double simpson_dzdxdy(
double (*P_f)(double x, double y, double z),
   
double (*Pz0)(double x, double y),
double (*Pz1)(double x, double y),
   int   nz,
   
double (*Px0)(double y),
double (*Px1)(double y),
   int   nx,

double   y0,
double   y1,
   int   ny
)
{
   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 * intx_dzdxdy(      
  (*P_f),         
  (*Pz0),(*Pz1),nz,       
  (*Px0),(*Px1),nx,  
  (y0+i*(y1-y0)/ny));
 }

  return( ((y1 -y0)*M) / (3*ny) );
}
/* --------------------------------- */
/* --------------------------------- */

Les fonctions pour calculer les intégrales de la forme dzdxdy