Mathc initiation/c36a6

Installer ce fichier dans votre répertoire de travail.

	x_yzx.h

/* ---------------------------------- */
/* save as x_yzx.h                   */
/* --------------------------------- */
double inty_dydzdx(
double (*P_f)(double x, double y, double z),

double (*Py0)(double x, double z),
double (*Py1)(double x, double z),
   int   ny,

double    z,

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 * (*P_f)( x, ((*Py0)(x,z)) + i*(((*Py1)(x,z))-((*Py0)(x,z)))/ny, z);
 }

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

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

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 * inty_dydzdx(     
       (*P_f),     
       (*Py0),(*Py1),ny,          
     (((*Pz0)(x))+i*(((*Pz1)(x))-((*Pz0)(x)))/nz),
          x);
 }

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

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

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

Les fonctions pour calculer les intégrales de la forme dydzdx