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#define PJ_LIB__
#include <projects.h>
PROJ_HEAD(tcea, "Transverse Cylindrical Equal Area") "\n\tCyl, Sph";
static XY s_forward (LP lp, PJ *P) { /* Spheroidal, forward */
XY xy = {0.0,0.0};
xy.x = cos (lp.phi) * sin (lp.lam) / P->k0;
xy.y = P->k0 * (atan2 (tan (lp.phi), cos (lp.lam)) - P->phi0);
return xy;
}
static LP s_inverse (XY xy, PJ *P) { /* Spheroidal, inverse */
LP lp = {0.0, 0.0};
double t;
xy.y = xy.y / P->k0 + P->phi0;
xy.x *= P->k0;
t = sqrt (1. - xy.x * xy.x);
lp.phi = asin (t * sin (xy.y));
lp.lam = atan2 (xy.x, t * cos (xy.y));
return lp;
}
PJ *PROJECTION(tcea) {
P->inv = s_inverse;
P->fwd = s_forward;
P->es = 0.;
return P;
}
#ifndef PJ_SELFTEST
int pj_tcea_selftest (void) {return 0;}
#else
int pj_tcea_selftest (void) {
double tolerance_lp = 1e-10;
double tolerance_xy = 1e-7;
char s_args[] = {"+proj=tcea +a=6400000 +lat_1=0.5 +lat_2=2 +n=0.5"};
LP fwd_in[] = {
{ 2, 1},
{ 2,-1},
{-2, 1},
{-2,-1}
};
XY s_fwd_expect[] = {
{ 223322.76057672748, 111769.14504058579},
{ 223322.76057672748, -111769.14504058579},
{-223322.76057672748, 111769.14504058579},
{-223322.76057672748, -111769.14504058579},
};
XY inv_in[] = {
{ 200, 100},
{ 200,-100},
{-200, 100},
{-200,-100}
};
LP s_inv_expect[] = {
{ 0.0017904931102938101, 0.00089524655445477922},
{ 0.0017904931102938101, -0.00089524655445477922},
{-0.0017904931102938101, 0.00089524655445477922},
{-0.0017904931102938101, -0.00089524655445477922},
};
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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