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#define PJ_LIB__
#include <projects.h>
PROJ_HEAD(hatano, "Hatano Asymmetrical Equal Area") "\n\tPCyl, Sph.";
#define NITER 20
#define EPS 1e-7
#define ONETOL 1.000001
#define CN 2.67595
#define CS 2.43763
#define RCN 0.37369906014686373063
#define RCS 0.41023453108141924738
#define FYCN 1.75859
#define FYCS 1.93052
#define RYCN 0.56863737426006061674
#define RYCS 0.51799515156538134803
#define FXC 0.85
#define RXC 1.17647058823529411764
static XY s_forward (LP lp, PJ *P) { /* Spheroidal, forward */
XY xy = {0.0,0.0};
double th1, c;
int i;
(void) P;
c = sin(lp.phi) * (lp.phi < 0. ? CS : CN);
for (i = NITER; i; --i) {
lp.phi -= th1 = (lp.phi + sin(lp.phi) - c) / (1. + cos(lp.phi));
if (fabs(th1) < EPS) break;
}
xy.x = FXC * lp.lam * cos(lp.phi *= .5);
xy.y = sin(lp.phi) * (lp.phi < 0. ? FYCS : FYCN);
return xy;
}
static LP s_inverse (XY xy, PJ *P) { /* Spheroidal, inverse */
LP lp = {0.0,0.0};
double th;
th = xy.y * ( xy.y < 0. ? RYCS : RYCN);
if (fabs(th) > 1.) {
if (fabs(th) > ONETOL) {
I_ERROR;
} else {
th = th > 0. ? M_HALFPI : - M_HALFPI;
}
} else {
th = asin(th);
}
lp.lam = RXC * xy.x / cos(th);
th += th;
lp.phi = (th + sin(th)) * (xy.y < 0. ? RCS : RCN);
if (fabs(lp.phi) > 1.) {
if (fabs(lp.phi) > ONETOL) {
I_ERROR;
} else {
lp.phi = lp.phi > 0. ? M_HALFPI : - M_HALFPI;
}
} else {
lp.phi = asin(lp.phi);
}
return (lp);
}
static void *freeup_new (PJ *P) { /* Destructor */
if (0==P)
return 0;
return pj_dealloc(P);
}
static void freeup (PJ *P) {
freeup_new (P);
return;
}
PJ *PROJECTION(hatano) {
P->es = 0.;
P->inv = s_inverse;
P->fwd = s_forward;
return P;
}
#ifdef PJ_OMIT_SELFTEST
int pj_hatano_selftest (void) {return 0;}
#else
int pj_hatano_selftest (void) {
double tolerance_lp = 1e-10;
double tolerance_xy = 1e-7;
char s_args[] = {"+proj=hatano +a=6400000 +lat_1=0.5 +lat_2=2"};
LP fwd_in[] = {
{ 2, 1},
{ 2,-1},
{-2, 1},
{-2,-1}
};
XY s_fwd_expect[] = {
{ 189878.87894652804, 131409.8024406255
},
{ 189881.08195244463, -131409.14227607418
},
{-189878.87894652804, 131409.8024406255
},
{-189881.08195244463, -131409.14227607418
},
};
XY inv_in[] = {
{ 200, 100},
{ 200,-100},
{-200, 100},
{-200,-100}
};
LP s_inv_expect[] = {
{ 0.0021064624821817597, 0.00076095689425791926
},
{ 0.0021064624821676096, -0.00076095777439265377
},
{-0.0021064624821817597, 0.00076095689425791926
},
{-0.0021064624821676096, -0.00076095777439265377
},
};
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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