Mathc initiation/c36a8
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x_zyx.h |
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/* ---------------------------------- */
/* save as x_zyx.h */
/* --------------------------------- */
double intz_dzdydx(
double (*P_f)(double x, double y, double z),
double (*Puz)(double x, double y),
double (*Pvz)(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, ((*Puz)(x,y)) + i*(((*Pvz)(x,y))-((*Puz)(x,y)))/nz);
}
return( ((((*Pvz)(x,y)) -((*Puz)(x,y)))*M) / (3*nz) );
}
/* --------------------------------- */
double inty_dzdydx(
double (*P_f)(double x, double y, double z),
double (*Puz)(double x, double y),
double (*Pvz)(double x, double y),
int nz,
double (*Psy)(double x),
double (*Pty)(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),
(*Puz),
(*Pvz),
nz,
(((*Psy)(x))+i*(((*Pty)(x))-((*Psy)(x)))/ny),
x);
}
return( ((((*Pty)(x)) -((*Psy)(x)))*M) / (3*ny) );
}
/* --------------------------------- */
double simpson_dzdydx(
double (*P_f)(double x, double y, double z),
double (*Puz)(double x, double y),
double (*Pvz)(double x, double y),
int nz,
double (*Psy)(double x),
double (*Pty)(double x),
int ny,
double ax,
double bx,
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),
(*Puz),
(*Pvz),
nz,
(*Psy),
(*Pty),
ny,
(ax+i*(bx-ax)/nx));
}
return( ((bx -ax)*M) / (3*nx) );
}
/* --------------------------------- */
/* --------------------------------- */
Les fonctions pour calculer les intégrales de la forme dzdydx