Mathc initiation/c36a6
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x_yzx.h |
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/* ---------------------------------- */
/* save as x_yzx.h */
/* --------------------------------- */
double inty_dydzdx(
double (*P_f)(double x, double y, double z),
double (*Puy)(double x, double z),
double (*Pvy)(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, ((*Puy)(x,z)) + i*(((*Pvy)(x,z))-((*Puy)(x,z)))/ny, z);
}
return( ((((*Pvy)(x,z)) -((*Puy)(x,z)))*M) / (3*ny) );
}
/* --------------------------------- */
double intz_dydzdx(
double (*P_f)(double x, double y, double z),
double (*Puy)(double x, double z),
double (*Pvy)(double x, double z),
int ny,
double (*Psz)(double x),
double (*Ptz)(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),
(*Puy),
(*Pvy),
ny,
(((*Psz)(x))+i*(((*Ptz)(x))-((*Psz)(x)))/nz),
x);
}
return( ((((*Ptz)(x)) -((*Psz)(x)))*M) / (3*nz) );
}
/* --------------------------------- */
double simpson_dydzdx(
double (*P_f)(double x, double y, double z),
double (*Puy)(double x, double z),
double (*Pvy)(double x, double z),
int ny,
double (*Psz)(double x),
double (*Ptz)(double x),
int nz,
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 * intz_dydzdx( (*P_f),
(*Puy),
(*Pvy),
ny,
(*Psz),
(*Ptz),
nz,
(ax+i*(bx-ax)/nx));
}
return( ((bx -ax)*M) / (3*nx) );
}
/* --------------------------------- */
/* --------------------------------- */
Les fonctions pour calculer les intégrales de la forme dydzdx