Mathc initiation/a478
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x_jvuw.h |
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/* --------------------------------- */
/* save as x_jvuw.h */
/* --------------------------------- */
double J_y_vuw(
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 (*Puy)(double x, double z),
double (*Pvy)(double x, double z),
int ny,
double x,
double z
)
{
pt3d p;
double y = 0;
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.;}
y = ((*Puy)(x,z)) + i*(((*Pvy)(x,z))-((*Puy)(x,z)))/ny;
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( ((((*Pvy)(x,z)) -((*Puy)(x,z)))*M) / (3*ny) );
}
/* --------------------------------- */
double J_x_vuw(
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 (*Puy)(double x, double z),
double (*Pvy)(double x, double z),
int ny,
double (*Psx)(double z),
double (*Ptx)(double z),
int nx,
double z
)
{
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_vuw( (*P_f),
(*P_X),(*P_Y),(*P_Z),
(*Puy),(*Pvy),ny,
(((*Psx)(z))+i*(((*Ptx)(z))-((*Psx)(z)))/nx),
z);
}
return( ((((*Ptx)(z)) -((*Psx)(z)))*M) / (3*nx) );
}
/* --------------------------------- */
double J_vuw(
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 (*Puy)(double x, double z),
double (*Pvy)(double x, double z),
int ny,
double (*Psx)(double x),
double (*Ptx)(double x),
int nx,
double az,
double bz,
int nz
)
{
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 * J_x_vuw( (*P_f),
(*P_X),(*P_Y),(*P_Z),
(*Puy),(*Pvy),ny,
(*Psx),(*Ptx),nx,
(az+i*(bz-az)/nz));
}
return( ((bz -az)*M) / (3*nz) );
}
/* --------------------------------- */
/* --------------------------------- */
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