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#define PJ_LIB__
#include <projects.h>
PROJ_HEAD(august, "August Epicycloidal") "\n\tMisc Sph, no inv.";
#define M 1.333333333333333
static XY s_forward (LP lp, PJ *P) { /* Spheroidal, forward */
XY xy = {0.0,0.0};
double t, c1, c, x1, x12, y1, y12;
(void) P;
t = tan(.5 * lp.phi);
c1 = sqrt(1. - t * t);
c = 1. + c1 * cos(lp.lam *= .5);
x1 = sin(lp.lam) * c1 / c;
y1 = t / c;
xy.x = M * x1 * (3. + (x12 = x1 * x1) - 3. * (y12 = y1 * y1));
xy.y = M * y1 * (3. + 3. * x12 - y12);
return (xy);
}
static void *freeup_new (PJ *P) { /* Destructor */
return pj_dealloc(P);
}
static void freeup (PJ *P) {
freeup_new (P);
return;
}
PJ *PROJECTION(august) {
P->inv = 0;
P->fwd = s_forward;
P->es = 0.;
return P;
}
#ifndef PJ_SELFTEST
int pj_august_selftest (void) {return 0;}
#else
int pj_august_selftest (void) {
double tolerance_lp = 1e-10;
double tolerance_xy = 1e-7;
char s_args[] = {"+proj=august +a=6400000 +lat_1=0 +lat_2=2"};
LP fwd_in[] = {
{ 2, 1},
{ 2,-1},
{-2, 1},
{-2,-1}
};
XY s_fwd_expect[] = {
{223404.97818097242, 111722.34028976287},
{223404.97818097242, -111722.34028976287},
{-223404.97818097242, 111722.34028976287},
{-223404.97818097242, -111722.34028976287},
};
return pj_generic_selftest (0, s_args, tolerance_xy, tolerance_lp, 4, 4, fwd_in, 0, s_fwd_expect, 0, 0, 0);
}
#endif
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