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#define PJ_LIB__
# include <projects.h>
PROJ_HEAD(collg, "Collignon") "\n\tPCyl, Sph.";
#define FXC 1.12837916709551257390
#define FYC 1.77245385090551602729
#define ONEEPS 1.0000001
static XY s_forward (LP lp, PJ *P) { /* Spheroidal, forward */
XY xy = {0.0,0.0};
(void) P;
if ((xy.y = 1. - sin(lp.phi)) <= 0.)
xy.y = 0.;
else
xy.y = sqrt(xy.y);
xy.x = FXC * lp.lam * xy.y;
xy.y = FYC * (1. - xy.y);
return (xy);
}
static LP s_inverse (XY xy, PJ *P) { /* Spheroidal, inverse */
LP lp = {0.0,0.0};
lp.phi = xy.y / FYC - 1.;
if (fabs(lp.phi = 1. - lp.phi * lp.phi) < 1.)
lp.phi = asin(lp.phi);
else if (fabs(lp.phi) > ONEEPS) I_ERROR
else lp.phi = lp.phi < 0. ? -M_HALFPI : M_HALFPI;
if ((lp.lam = 1. - sin(lp.phi)) <= 0.)
lp.lam = 0.;
else
lp.lam = xy.x / (FXC * sqrt(lp.lam));
return (lp);
}
static void *freeup_new (PJ *P) { /* Destructor */
return pj_dealloc(P);
}
static void freeup (PJ *P) {
freeup_new (P);
return;
}
PJ *PROJECTION(collg) {
P->es = 0.0;
P->inv = s_inverse;
P->fwd = s_forward;
return P;
}
#ifndef PJ_SELFTEST
int pj_collg_selftest (void) {return 0;}
#else
int pj_collg_selftest (void) {
double tolerance_lp = 1e-10;
double tolerance_xy = 1e-7;
char s_args[] = {"+proj=collg +a=6400000 +lat_1=0.5 +lat_2=2"};
LP fwd_in[] = {
{ 2, 1},
{ 2,-1},
{-2, 1},
{-2,-1}
};
XY s_fwd_expect[] = {
{249872.921577929839, 99423.1747884602082},
{254272.532301245432, -98559.3077607425657},
{-249872.921577929839, 99423.1747884602082},
{-254272.532301245432, -98559.3077607425657},
};
XY inv_in[] = {
{ 200, 100},
{ 200,-100},
{-200, 100},
{-200,-100}
};
LP s_inv_expect[] = {
{0.00158679719207879865, 0.00101017310941749921},
{0.001586769215623956, -0.00101018201458258111},
{-0.00158679719207879865, 0.00101017310941749921},
{-0.001586769215623956, -0.00101018201458258111},
};
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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