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#define PJ_LIB__
#include <projects.h>
PROJ_HEAD(bonne, "Bonne (Werner lat_1=90)")
"\n\tConic Sph&Ell\n\tlat_1=";
#define EPS10 1e-10
struct pj_opaque {
double phi1;
double cphi1;
double am1;
double m1;
double *en;
};
static XY e_forward (LP lp, PJ *P) { /* Ellipsoidal, forward */
XY xy = {0.0,0.0};
struct pj_opaque *Q = P->opaque;
double rh, E, c;
rh = Q->am1 + Q->m1 - pj_mlfn(lp.phi, E = sin(lp.phi), c = cos(lp.phi), Q->en);
E = c * lp.lam / (rh * sqrt(1. - P->es * E * E));
xy.x = rh * sin(E);
xy.y = Q->am1 - rh * cos(E);
return xy;
}
static XY s_forward (LP lp, PJ *P) { /* Spheroidal, forward */
XY xy = {0.0,0.0};
struct pj_opaque *Q = P->opaque;
double E, rh;
rh = Q->cphi1 + Q->phi1 - lp.phi;
if (fabs(rh) > EPS10) {
xy.x = rh * sin(E = lp.lam * cos(lp.phi) / rh);
xy.y = Q->cphi1 - rh * cos(E);
} else
xy.x = xy.y = 0.;
return xy;
}
static LP s_inverse (XY xy, PJ *P) { /* Spheroidal, inverse */
LP lp = {0.0,0.0};
struct pj_opaque *Q = P->opaque;
double rh;
rh = hypot(xy.x, xy.y = Q->cphi1 - xy.y);
lp.phi = Q->cphi1 + Q->phi1 - rh;
if (fabs(lp.phi) > M_HALFPI) I_ERROR;
if (fabs(fabs(lp.phi) - M_HALFPI) <= EPS10)
lp.lam = 0.;
else
lp.lam = rh * atan2(xy.x, xy.y) / cos(lp.phi);
return lp;
}
static LP e_inverse (XY xy, PJ *P) { /* Ellipsoidal, inverse */
LP lp = {0.0,0.0};
struct pj_opaque *Q = P->opaque;
double s, rh;
rh = hypot(xy.x, xy.y = Q->am1 - xy.y);
lp.phi = pj_inv_mlfn(P->ctx, Q->am1 + Q->m1 - rh, P->es, Q->en);
if ((s = fabs(lp.phi)) < M_HALFPI) {
s = sin(lp.phi);
lp.lam = rh * atan2(xy.x, xy.y) *
sqrt(1. - P->es * s * s) / cos(lp.phi);
} else if (fabs(s - M_HALFPI) <= EPS10)
lp.lam = 0.;
else I_ERROR;
return lp;
}
static void *freeup_new (PJ *P) { /* Destructor */
if (0==P)
return 0;
if (0==P->opaque)
return pj_dealloc (P);
pj_dealloc (P->opaque->en);
pj_dealloc (P->opaque);
return pj_dealloc(P);
}
static void freeup (PJ *P) {
freeup_new (P);
return;
}
PJ *PROJECTION(bonne) {
double c;
struct pj_opaque *Q = pj_calloc (1, sizeof (struct pj_opaque));
if (0==Q)
return freeup_new (P);
P->opaque = Q;
Q->phi1 = pj_param(P->ctx, P->params, "rlat_1").f;
if (fabs(Q->phi1) < EPS10) E_ERROR(-23);
if (P->es) {
Q->en = pj_enfn(P->es);
Q->m1 = pj_mlfn(Q->phi1, Q->am1 = sin(Q->phi1),
c = cos(Q->phi1), Q->en);
Q->am1 = c / (sqrt(1. - P->es * Q->am1 * Q->am1) * Q->am1);
P->inv = e_inverse;
P->fwd = e_forward;
} else {
if (fabs(Q->phi1) + EPS10 >= M_HALFPI)
Q->cphi1 = 0.;
else
Q->cphi1 = 1. / tan(Q->phi1);
P->inv = s_inverse;
P->fwd = s_forward;
}
return P;
}
#ifndef PJ_SELFTEST
int pj_bonne_selftest (void) {return 0;}
#else
int pj_bonne_selftest (void) {
double tolerance_lp = 1e-10;
double tolerance_xy = 1e-7;
char e_args[] = {"+proj=bonne +ellps=GRS80 +lat_1=0.5 +lat_2=2"};
char s_args[] = {"+proj=bonne +a=6400000 +lat_1=0.5 +lat_2=2"};
LP fwd_in[] = {
{ 2, 1},
{ 2,-1},
{-2, 1},
{-2,-1}
};
XY e_fwd_expect[] = {
{ 222605.29609715697, 55321.139565494814},
{ 222605.29609923941, -165827.64779905154},
{-222605.29609715697, 55321.139565494814},
{-222605.29609923941, -165827.64779905154},
};
XY s_fwd_expect[] = {
{ 223368.11557252839, 55884.555246393575},
{ 223368.11557463196, -167517.59936969393},
{-223368.11557252839, 55884.555246393575},
{-223368.11557463196, -167517.59936969393},
};
XY inv_in[] = {
{ 200, 100},
{ 200,-100},
{-200, 100},
{-200,-100}
};
LP e_inv_expect[] = {
{ 0.0017966987691132891, 0.50090436853737497},
{ 0.0017966982774478867, 0.4990956309655612},
{-0.0017966987691132891, 0.50090436853737497},
{-0.0017966982774478867, 0.4990956309655612},
};
LP s_inv_expect[] = {
{ 0.0017905615332457991, 0.50089524631087834},
{ 0.0017905610449335603, 0.49910475320072978},
{-0.0017905615332457991, 0.50089524631087834},
{-0.0017905610449335603, 0.49910475320072978},
};
return pj_generic_selftest (e_args, s_args, tolerance_xy, tolerance_lp, 4, 4, fwd_in, e_fwd_expect, s_fwd_expect, inv_in, e_inv_expect, s_inv_expect);
}
#endif
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