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# define HLFPI2 2.46740110027233965467 /* (pi/2)^2 */
# define EPS 1e-10
#define PJ_LIB__
#include <projects.h>
struct pj_opaque {
int bacn;
int ortl;
};
PROJ_HEAD(apian, "Apian Globular I") "\n\tMisc Sph, no inv.";
PROJ_HEAD(ortel, "Ortelius Oval") "\n\tMisc Sph, no inv.";
PROJ_HEAD(bacon, "Bacon Globular") "\n\tMisc Sph, no inv.";
static XY s_forward (LP lp, PJ *P) { /* Spheroidal, forward */
XY xy = {0.0,0.0};
struct pj_opaque *Q = P->opaque;
double ax, f;
xy.y = Q->bacn ? M_HALFPI * sin(lp.phi) : lp.phi;
if ((ax = fabs(lp.lam)) >= EPS) {
if (Q->ortl && ax >= M_HALFPI)
xy.x = sqrt(HLFPI2 - lp.phi * lp.phi + EPS) + ax - M_HALFPI;
else {
f = 0.5 * (HLFPI2 / ax + ax);
xy.x = ax - f + sqrt(f * f - xy.y * xy.y);
}
if (lp.lam < 0.) xy.x = - xy.x;
} else
xy.x = 0.;
return (xy);
}
static void *freeup_new (PJ *P) { /* Destructor */
if (0==P)
return 0;
if (0==P->opaque)
return pj_dealloc (P);
pj_dealloc (P->opaque);
return pj_dealloc(P);
}
static void freeup (PJ *P) {
freeup_new (P);
return;
}
PJ *PROJECTION(bacon) {
struct pj_opaque *Q = pj_calloc (1, sizeof (struct pj_opaque));
if (0==Q)
return freeup_new (P);
P->opaque = Q;
Q->bacn = 1;
Q->ortl = 0;
P->es = 0.;
P->fwd = s_forward;
return P;
}
PJ *PROJECTION(apian) {
struct pj_opaque *Q = pj_calloc (1, sizeof (struct pj_opaque));
if (0==Q)
return freeup_new (P);
P->opaque = Q;
Q->bacn = Q->ortl = 0;
P->es = 0.;
P->fwd = s_forward;
return P;
}
PJ *PROJECTION(ortel) {
struct pj_opaque *Q = pj_calloc (1, sizeof (struct pj_opaque));
if (0==Q)
return freeup_new (P);
P->opaque = Q;
Q->bacn = 0;
Q->ortl = 1;
P->es = 0.;
P->fwd = s_forward;
return P;
}
#ifndef PJ_SELFTEST
int pj_bacon_selftest (void) {return 0;}
#else
int pj_bacon_selftest (void) {
double tolerance_lp = 1e-10;
double tolerance_xy = 1e-7;
char s_args[] = {"+proj=bacon +a=6400000 +lat_1=0 +lat_2=2"};
LP fwd_in[] = {
{ 2, 1},
{ 2,-1},
{-2, 1},
{-2,-1}
};
XY s_fwd_expect[] = {
{223334.13255596498, 175450.72592266591},
{223334.13255596498, -175450.72592266591},
{-223334.13255596498, 175450.72592266591},
{-223334.13255596498, -175450.72592266591},
};
return pj_generic_selftest (0, s_args, tolerance_xy, tolerance_lp, 4, 0, fwd_in, 0, s_fwd_expect, 0, 0, 0);
}
#endif
#ifndef PJ_SELFTEST
int pj_apian_selftest (void) {return 0;}
#else
int pj_apian_selftest (void) {
double tolerance_lp = 1e-10;
double tolerance_xy = 1e-7;
char s_args[] = {"+proj=apian +a=6400000 +lat_1=0 +lat_2=2"};
LP fwd_in[] = {
{ 2, 1},
{ 2,-1},
{-2, 1},
{-2,-1}
};
XY s_fwd_expect[] = {
{ 223374.57735525275, 111701.07212763709},
{ 223374.57735525275, -111701.07212763709},
{-223374.57735525275, 111701.07212763709},
{-223374.57735525275, -111701.07212763709},
};
return pj_generic_selftest (0, s_args, tolerance_xy, tolerance_lp, 4, 0, fwd_in, 0, s_fwd_expect, 0, 0, 0);
}
#endif
#ifndef PJ_SELFTEST
int pj_ortel_selftest (void) {return 0;}
#else
int pj_ortel_selftest (void) {
double tolerance_lp = 1e-10;
double tolerance_xy = 1e-7;
char s_args[] = {"+proj=ortel +a=6400000 +lat_1=0 +lat_2=2"};
LP fwd_in[] = {
{ 2, 1},
{ 2,-1},
{-2, 1},
{-2,-1}
};
XY s_fwd_expect[] = {
{ 223374.57735525275, 111701.07212763709},
{ 223374.57735525275, -111701.07212763709},
{-223374.57735525275, 111701.07212763709},
{-223374.57735525275, -111701.07212763709},
};
return pj_generic_selftest (0, s_args, tolerance_xy, tolerance_lp, 4, 0, fwd_in, 0, s_fwd_expect, 0, 0, 0);
}
#endif
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