Mathc initiation/a445

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	x_ps_st.h

/* ---------------------------------- */
/* save as x_ps_st.h                  */
/* ---------------------------------- */
double paraSint_st(

double (*P_Rx)(double s, double t),
double (*P_Ry)(double s, double t),
double (*P_Rz)(double s, double t),

double (*P_f)(double x, double y, double z),

double (*P_u)(double y),
double (*P_v)(double y),
   int    nx,
   
double     y
)
{
pt2d p;

   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.;}

 p.x = ((*P_u)(y)) + i*(((*P_v)(y))-((*P_u)(y)))/nx;
 p.y = y; 

 M += m * (*P_f)((*P_Rx)(p.x,p.y), (*P_Ry)(p.x,p.y), (*P_Rz)(p.x,p.y))
                                  * 
                      N_Rs_x_Rt((*P_Rx),(*P_Ry), (*P_Rz),
                                     p);
 }

 return( ((((*P_v)(y)) -((*P_u)(y)))*M) / (3*nx) );
}
/* ---------------------------------- */
double parametricS_st(

double (*P_Rx)(double s, double t),
double (*P_Ry)(double s, double t),
double (*P_Rz)(double s, double t),

double (*P_f)(double x, double y, double z),

double (*P_u)(double y),
double (*P_v)(double y),
   int    nx,
   
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 * paraSint_st(  (*P_Rx),(*P_Ry),(*P_Rz),
                         (*P_f),
                         (*P_u),(*P_v), nx,                                   
                         (ay + i*(by-ay)/ny));
 }

  return( ((by -ay)*M) / (3*ny) );
}
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