Mathc initiation/0034

Installer ce fichier dans votre répertoire de travail.

	x_jwuv.h

/* --------------------------------- */
/* save as x_jwuv.h                  */
/* --------------------------------- */
double J_w_wuv(
double (*P_f)(double x, double y, double z),

double (*P_X)(double u, double v, double w),
double (*P_Y)(double u, double v, double w),
double (*P_Z)(double u, double v, double w),

double (*Pw0)(double u, double v),
double (*Pw1)(double u, double v),
   int   nw,

double u,

double v
)
{
pt3d   p;
	
double w = 0;

   int i = 0;
double m = 0.;
double M = 0.;

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

  w = ((*Pw0)(u,v)) + i*(((*Pw1)(u,v))-((*Pw0)(u,v)))/nw;

  p.x = u;
  p.y = v;   
  p.z = w;    
     
  M += m * (*P_f)( ((*P_X)(u,v,w)), 
                   ((*P_Y)(u,v,w)), 
                   ((*P_Z)(u,v,w))) 
                         * 
                 /* Jacobian */   
                      
                    fabs(
                    
              fxyz_x((*P_X),H,p) 
                       * 
   ( fxyz_y((*P_Y),H,p)*fxyz_z((*P_Z),H,p)
                       -
     fxyz_z((*P_Y),H,p)*fxyz_y((*P_Z),H,p) ) 
     
                       - 
                                       
              fxyz_y((*P_X),H,p) 
                       * 
   ( fxyz_x((*P_Y),H,p)*fxyz_z((*P_Z),H,p)
                       -
     fxyz_z((*P_Y),H,p)*fxyz_x((*P_Z),H,p) )
     
                       + 
                                       
              fxyz_z((*P_X),H,p) 
                       * 
   ( fxyz_x((*P_Y),H,p)*fxyz_y((*P_Z),H,p)
                       -
     fxyz_y((*P_Y),H,p)*fxyz_x((*P_Z),H,p) )
                        );
 }

  return( ((((*Pw1)(u,v)) -((*Pw0)(u,v)))*M) / (3*nw) );
}
/* --------------------------------- */
double J_u_wuv(
double (*P_f)(double x, double y, double z),

double (*P_X)(double u, double v, double w),
double (*P_Y)(double u, double v, double w),
double (*P_Z)(double u, double v, double w),
   
double (*Pw0)(double u, double v),
double (*Pw1)(double u, double v),
   int   nw,

double (*Pu0)(double v),
double (*Pu1)(double v),
   int   nu,

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

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

  M += m * J_w_wuv(       (*P_f),
                          (*P_X), (*P_Y),(*P_Z),
                          (*Pw0),(*Pw1), nw,                                
                        (((*Pu0)(v))+i*(((*Pu1)(v))-((*Pu0)(v)))/nu),
                               v);
 }

 return( ((((*Pu1)(v)) -((*Pu0)(v)))*M) / (3*nu) );
}
/* --------------------------------- */
double J_wuv(
double (*P_f)(double x, double y, double z),

double (*P_X)(double u, double v, double w),
double (*P_Y)(double u, double v, double w),
double (*P_Z)(double u, double v, double w),
   
double (*Pw0)(double u, double v),
double (*Pw1)(double u, double v),
   int   nw,
   
double (*Pu0)(double v),
double (*Pu1)(double v),
   int   nu,

double v0,
double v1,
   int nv
)
{
   int i = 0;
double m = 0.;
double M = 0.;

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

  M += m * J_u_wuv( (*P_f),
                    (*P_X), (*P_Y),(*P_Z),                               
                    (*Pw0),(*Pw1),nw,
                    (*Pu0),(*Pu1),nu,
                    (v0+i*(v1-v0)/nv));
 }

  return( ((v1 -v0)*M) / (3*nv) );
}
/* --------------------------------- */
/* --------------------------------- */