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#define PJ_LIB__
#include <projects.h>
PROJ_HEAD(putp2, "Putnins P2") "\n\tPCyl., Sph.";
#define C_x 1.89490
#define C_y 1.71848
#define C_p 0.6141848493043784
#define EPS 1e-10
#define NITER 10
#define PI_DIV_3 1.0471975511965977
static XY s_forward (LP lp, PJ *P) { /* Spheroidal, forward */
XY xy = {0.0,0.0};
double p, c, s, V;
int i;
(void) P;
p = C_p * sin(lp.phi);
s = lp.phi * lp.phi;
lp.phi *= 0.615709 + s * ( 0.00909953 + s * 0.0046292 );
for (i = NITER; i ; --i) {
c = cos(lp.phi);
s = sin(lp.phi);
lp.phi -= V = (lp.phi + s * (c - 1.) - p) /
(1. + c * (c - 1.) - s * s);
if (fabs(V) < EPS)
break;
}
if (!i)
lp.phi = lp.phi < 0 ? - PI_DIV_3 : PI_DIV_3;
xy.x = C_x * lp.lam * (cos(lp.phi) - 0.5);
xy.y = C_y * sin(lp.phi);
return xy;
}
static LP s_inverse (XY xy, PJ *P) { /* Spheroidal, inverse */
LP lp = {0.0,0.0};
double c;
lp.phi = aasin(P->ctx,xy.y / C_y);
lp.lam = xy.x / (C_x * ((c = cos(lp.phi)) - 0.5));
lp.phi = aasin(P->ctx,(lp.phi + sin(lp.phi) * (c - 1.)) / C_p);
return lp;
}
static void *freeup_new (PJ *P) { /* Destructor */
if (0==P)
return 0;
return pj_dealloc(P);
}
static void freeup (PJ *P) {
freeup_new (P);
return;
}
PJ *PROJECTION(putp2) {
P->es = 0.;
P->inv = s_inverse;
P->fwd = s_forward;
return P;
}
#ifndef PJ_SELFTEST
int pj_putp2_selftest (void) {return 0;}
#else
int pj_putp2_selftest (void) {
double tolerance_lp = 1e-10;
double tolerance_xy = 1e-7;
char s_args[] = {"+proj=putp2 +a=6400000 +lat_1=0.5 +lat_2=2"};
LP fwd_in[] = {
{ 2, 1},
{ 2,-1},
{-2, 1},
{-2,-1}
};
XY s_fwd_expect[] = {
{ 211638.039634339279, 117895.033043379764},
{ 211638.039634339279, -117895.033043379764},
{-211638.039634339279, 117895.033043379764},
{-211638.039634339279, -117895.033043379764},
};
XY inv_in[] = {
{ 200, 100},
{ 200,-100},
{-200, 100},
{-200,-100}
};
LP s_inv_expect[] = {
{ 0.00188980221640386672, 0.000848201580276863377},
{ 0.00188980221640386672, -0.000848201580276863377},
{-0.00188980221640386672, 0.000848201580276863377},
{-0.00188980221640386672, -0.000848201580276863377},
};
return pj_generic_selftest (0, s_args, tolerance_xy, tolerance_lp, 4, 4, fwd_in, 0, s_fwd_expect, inv_in, 0, s_inv_expect);
}
#endif
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