EVOLUTION-MANAGER

Edit File: PJ_putp2.c

#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