Mathc initiation/Fichiers h : c50a4
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x_dxdy.h |
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/* ---------------------------------- */
/* save as x_dxdy.h */
/* ---------------------------------- */
double int_dx(
double (*P_f)(double x, double y),
double (*P_u)(double y),
double (*P_v)(double y),
int n,
double y
)
{
int i = 0;
double m = 0.;
double M = 0.;
for(i = 0; i <= n; i++)
{
if(i ==0 || i== n){m = 1.;}
else if(fmod(i,2) == 0){m = 2.;}
else {m = 4.;}
M += m * (*P_f)(((*P_u)(y)) + i*(((*P_v)(y))-((*P_u)(y)))/n, y);
}
return( ((((*P_v)(y)) -((*P_u)(y)))*M) / (3*n) );
}
/* ---------------------------------- */
double simpson_dxdy(
double (*P_f)(double x, double y),
double (*P_u)(double y),
double (*P_v)(double y),
int n,
double ay,
double by,
int ny
)
{
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 * int_dx((*P_f), (*P_u),(*P_v),n,(ay+i*(by-ay)/ny));
}
return( ((by-ay)*M) / (3*ny) );
}
/* ---------------------------------- */
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