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#define PJ_LIB__
#include <projects.h>
PROJ_HEAD(eck1, "Eckert I") "\n\tPCyl., Sph.";
#define FC 0.92131773192356127802
#define RP 0.31830988618379067154
static XY s_forward (LP lp, PJ *P) { /* Spheroidal, forward */
XY xy = {0.0,0.0};
(void) P;
xy.x = FC * lp.lam * (1. - RP * fabs(lp.phi));
xy.y = FC * lp.phi;
return xy;
}
static LP s_inverse (XY xy, PJ *P) { /* Spheroidal, inverse */
LP lp = {0.0,0.0};
(void) P;
lp.phi = xy.y / FC;
lp.lam = xy.x / (FC * (1. - RP * fabs(lp.phi)));
return (lp);
}
static void *freeup_new (PJ *P) { /* Destructor */
return pj_dealloc(P);
}
static void freeup (PJ *P) {
freeup_new (P);
return;
}
PJ *PROJECTION(eck1) {
P->es = 0.0;
P->inv = s_inverse;
P->fwd = s_forward;
return P
;
}
#ifdef PJ_OMIT_SELFTEST
int pj_eck1_selftest (void) {return 0;}
#else
int pj_eck1_selftest (void) {
double tolerance_lp = 1e-10;
double tolerance_xy = 1e-7;
char s_args[] = {"+proj=eck1 +a=6400000 +lat_1=0.5 +lat_2=2"};
LP fwd_in[] = {
{ 2, 1},
{ 2,-1},
{-2, 1},
{-2,-1}
};
XY s_fwd_expect[] = {
{ 204680.88820295094, 102912.17842606473},
{ 204680.88820295094, -102912.17842606473},
{-204680.88820295094, 102912.17842606473},
{-204680.88820295094, -102912.17842606473},
};
XY inv_in[] = {
{ 200, 100},
{ 200,-100},
{-200, 100},
{-200,-100}
};
LP s_inv_expect[] = {
{ 0.0019434150820034624, 0.00097170229538813102},
{ 0.0019434150820034624, -0.00097170229538813102},
{-0.0019434150820034624, 0.00097170229538813102},
{-0.0019434150820034624, -0.00097170229538813102},
};
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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