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#define PJ_LIB__
#include <proj.h>
#include "projects.h"
PROJ_HEAD(mbtfpp, "McBride-Thomas Flat-Polar Parabolic") "\n\tCyl., Sph.";
#define CS .95257934441568037152
#define FXC .92582009977255146156
#define FYC 3.40168025708304504493
#define C23 .66666666666666666666
#define C13 .33333333333333333333
#define ONEEPS 1.0000001
static XY s_forward (LP lp, PJ *P) { /* Spheroidal, forward */
XY xy = {0.0,0.0};
(void) P;
lp.phi = asin(CS * sin(lp.phi));
xy.x = FXC * lp.lam * (2. * cos(C23 * lp.phi) - 1.);
xy.y = FYC * sin(C13 * lp.phi);
return xy;
}
static LP s_inverse (XY xy, PJ *P) { /* Spheroidal, inverse */
LP lp = {0.0,0.0};
lp.phi = xy.y / FYC;
if (fabs(lp.phi) >= 1.) {
if (fabs(lp.phi) > ONEEPS) {
proj_errno_set(P, PJD_ERR_TOLERANCE_CONDITION);
return lp;
} else {
lp.phi = (lp.phi < 0.) ? -M_HALFPI : M_HALFPI;
}
} else
lp.phi = asin(lp.phi);
lp.lam = xy.x / ( FXC * (2. * cos(C23 * (lp.phi *= 3.)) - 1.) );
if (fabs(lp.phi = sin(lp.phi) / CS) >= 1.) {
if (fabs(lp.phi) > ONEEPS) {
proj_errno_set(P, PJD_ERR_TOLERANCE_CONDITION);
return lp;
} else {
lp.phi = (lp.phi < 0.) ? -M_HALFPI : M_HALFPI;
}
} else
lp.phi = asin(lp.phi);
return lp;
}
PJ *PROJECTION(mbtfpp) {
P->es = 0.;
P->inv = s_inverse;
P->fwd = s_forward;
return P;
}
#ifndef PJ_SELFTEST
int pj_mbtfpp_selftest (void) {return 0;}
#else
int pj_mbtfpp_selftest (void) {
double tolerance_lp = 1e-10;
double tolerance_xy = 1e-7;
char s_args[] = {"+proj=mbtfpp +a=6400000 +lat_1=0.5 +lat_2=2"};
LP fwd_in[] = {
{ 2, 1},
{ 2,-1},
{-2, 1},
{-2,-1}
};
XY s_fwd_expect[] = {
{206804.786929820373, 120649.762565792524},
{206804.786929820373, -120649.762565792524},
{-206804.786929820373, 120649.762565792524},
{-206804.786929820373, -120649.762565792524},
};
XY inv_in[] = {
{ 200, 100},
{ 200,-100},
{-200, 100},
{-200,-100}
};
LP s_inv_expect[] = {
{0.00193395359462902698, 0.00082883725477665357},
{0.00193395359462902698, -0.00082883725477665357},
{-0.00193395359462902698, 0.00082883725477665357},
{-0.00193395359462902698, -0.00082883725477665357},
};
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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