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#define PJ_LIB__
# include <projects.h>
PROJ_HEAD(crast, "Craster Parabolic (Putnins P4)") "\n\tPCyl., Sph.";
#define XM 0.97720502380583984317
#define RXM 1.02332670794648848847
#define YM 3.06998012383946546542
#define RYM 0.32573500793527994772
#define THIRD 0.333333333333333333
static XY s_forward (LP lp, PJ *P) { /* Spheroidal, forward */
XY xy = {0.0,0.0};
(void) P;
lp.phi *= THIRD;
xy.x = XM * lp.lam * (2. * cos(lp.phi + lp.phi) - 1.);
xy.y = YM * sin(lp.phi);
return xy;
}
static LP s_inverse (XY xy, PJ *P) { /* Spheroidal, inverse */
LP lp = {0.0,0.0};
(void) P;
lp.phi = 3. * asin(xy.y * RYM);
lp.lam = xy.x * RXM / (2. * cos((lp.phi + lp.phi) * THIRD) - 1);
return lp;
}
static void *freeup_new (PJ *P) { /* Destructor */
return pj_dealloc(P);
}
static void freeup (PJ *P) {
freeup_new (P);
return;
}
PJ *PROJECTION(crast) {
P->es = 0.0;
P->inv = s_inverse;
P->fwd = s_forward;
return P;
}
#ifndef PJ_SELFTEST
int pj_crast_selftest (void) {return 0;}
#else
int pj_crast_selftest (void) {
double tolerance_lp = 1e-10;
double tolerance_xy = 1e-7;
char s_args[] = {"+proj=crast +a=6400000 +lat_1=0.5 +lat_2=2"};
LP fwd_in[] = {
{ 2, 1},
{ 2,-1},
{-2, 1},
{-2,-1}
};
XY s_fwd_expect[] = {
{218280.142056780722, 114306.045604279774},
{218280.142056780722, -114306.045604279774},
{-218280.142056780722, 114306.045604279774},
{-218280.142056780722, -114306.045604279774},
};
XY inv_in[] = {
{ 200, 100},
{ 200,-100},
{-200, 100},
{-200,-100}
};
LP s_inv_expect[] = {
{0.00183225941982580187, 0.00087483943098902331},
{0.00183225941982580187, -0.00087483943098902331},
{-0.00183225941982580187, 0.00087483943098902331},
{-0.00183225941982580187, -0.00087483943098902331},
};
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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