Mathc initiation/c35a5

Un livre de Wikilivres.


Sommaire


Installer ce fichier dans votre répertoire de travail.

x_yxz.h
/* ---------------------------------- */
/* save as x_yxz.h                   */
/* --------------------------------- */
double inty_dydxdz(
double (*P_f)(double x, double y, double z),

double (*Puy)(double x, double z),
double (*Pvy)(double x, double z),
   int    ny,
   
double x,
   
double z
)
{
   int i = 0;
double m = 0.;
double M = 0.;

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

  M += m * (*P_f)( x, (((*Puy)( x,z)) + i*(((*Pvy)( x,z))-((*Puy)( x,z)))/ny), z);
 }

  return( ((((*Pvy)( x,z)) -((*Puy)( x,z)))*M) / (2*ny) );
}
/* --------------------------------- */
double intx_dydxdz(
double (*P_f)(double x, double y, double z),
   
double (*Puy)(double x, double z),
double (*Pvy)(double x, double z),
   int    ny,

double (*Psx)(double z),
double (*Ptx)(double z),
   int    nx,
   
double z
)
{
   int i = 0;
double m = 0.;
double M = 0.;

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

M += m *       inty_dydxdz(  (*P_f),
                           
                             (*Puy),
                             (*Pvy),
                                ny,

                           (((*Psx)(z))+i*(((*Ptx)(z))-((*Psx)(z)))/nx),
                                
                               z);
 }

  return( ((((*Ptx)(z)) -((*Psx)(z)))*M) / (2*nx) );
}
/* --------------------------------- */
double trapezoid_dydxdz(
double (*P_f)(double x, double y, double z),
   
double (*Puy)(double x, double z),
double (*Pvy)(double x, double z),
   int    ny,
   
double (*Psx)(double x),
double (*Ptx)(double x),
   int    nx,

double az,
double bz,
   int nz
)
{
   int i = 0;
double m = 0.;
double M = 0.;

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

M += m * intx_dydxdz(        (*P_f),
                               
                             (*Puy),
                             (*Pvy),
                                ny,
                             
                             (*Psx),
                             (*Ptx),
                                nx,

                             (az+i*(bz-az)/nz));
 }

  return( ((bz -az)*M) / (2*nz) );
}
/* --------------------------------- */


Les fonctions pour calculer les intégrales de la forme dydxdz