Mathc initiation/a468
Apparence
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x_jwvu.h |
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/* --------------------------------- */
/* save as x_jwvu.h */
/* --------------------------------- */
double J_z_wvu(
double (*P_f)(double x, double y, double z),
double (*P_X)(double x, double y, double z),
double (*P_Y)(double x, double y, double z),
double (*P_Z)(double x, double y, double z),
double (*P_az)(double x, double y),
double (*P_bz)(double x, double y),
int nz,
double y,
double x
)
{
pt3d p;
double z = 0;
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.;}
z = ((*P_az)(x,y)) + i*(((*P_bz)(x,y))-((*P_az)(x,y)))/nz;
p.x = x;
p.y = y;
p.z = z;
M += m * (*P_f)( ((*P_X)(x,y,z)),
((*P_Y)(x,y,z)),
((*P_Z)(x,y,z)))
*
/* 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( ((((*P_bz)(x,y)) -((*P_az)(x,y)))*M) / (3*nz) );
}
/* --------------------------------- */
double J_y_wvu(
double (*P_f)(double x, double y, double z),
double (*P_X)(double x, double y, double z),
double (*P_Y)(double x, double y, double z),
double (*P_Z)(double x, double y, double z),
double (*P_az)(double x, double y),
double (*P_bz)(double x, double y),
int nz,
double (*P_ay)(double x),
double (*P_by)(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 * J_z_wvu( (*P_f),
(*P_X), (*P_Y),(*P_Z),
(*P_az),(*P_bz),nz,
(((*P_ay)(x))+i*(((*P_by)(x))-((*P_ay)(x)))/ny),
x);
}
return( ((((*P_by)(x)) -((*P_ay)(x)))*M) / (3*ny) );
}
/* --------------------------------- */
double J_wvu(
double (*P_f)(double x, double y, double z),
double (*P_X)(double x, double y, double z),
double (*P_Y)(double x, double y, double z),
double (*P_Z)(double x, double y, double z),
double (*P_az)(double x, double y),
double (*P_bz)(double x, double y),
int nz,
double (*P_ay)(double x),
double (*P_by)(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 * J_y_wvu( (*P_f),
(*P_X), (*P_Y),(*P_Z),
(*P_az),(*P_bz),nz,
(*P_ay),(*P_by),ny,
(ax+i*(bx-ax)/nx));
}
return( ((bx -ax)*M) / (3*nx) );
}
/* --------------------------------- */
/* --------------------------------- */
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