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#define PJ_LIB__
#include <errno.h>
#include "proj.h"
#include "proj_internal.h"
#include <math.h>
PROJ_HEAD(bonne, "Bonne (Werner lat_1=90)")
"\n\tConic Sph&Ell\n\tlat_1=";
#define EPS10 1e-10
namespace { // anonymous namespace
struct pj_opaque {
double phi1;
double cphi1;
double am1;
double m1;
double *en;
};
} // anonymous namespace
static PJ_XY bonne_e_forward (PJ_LP lp, PJ *P) { /* Ellipsoidal, forward */
PJ_XY xy = {0.0,0.0};
struct pj_opaque *Q = static_cast<struct pj_opaque*>(P->opaque);
double rh, E, c;
E = sin(lp.phi);
c = cos(lp.phi);
rh = Q->am1 + Q->m1 - pj_mlfn(lp.phi, E, c, Q->en);
if (fabs(rh) > EPS10) {
E = c * lp.lam / (rh * sqrt(1. - P->es * E * E));
xy.x = rh * sin(E);
xy.y = Q->am1 - rh * cos(E);
} else {
xy.x = 0.;
xy.y = 0.;
}
return xy;
}
static PJ_XY bonne_s_forward (PJ_LP lp, PJ *P) { /* Spheroidal, forward */
PJ_XY xy = {0.0,0.0};
struct pj_opaque *Q = static_cast<struct pj_opaque*>(P->opaque);
double E, rh;
rh = Q->cphi1 + Q->phi1 - lp.phi;
if (fabs(rh) > EPS10) {
E = lp.lam * cos(lp.phi) / rh;
xy.x = rh * sin(E);
xy.y = Q->cphi1 - rh * cos(E);
} else
xy.x = xy.y = 0.;
return xy;
}
static PJ_LP bonne_s_inverse (PJ_XY xy, PJ *P) { /* Spheroidal, inverse */
PJ_LP lp = {0.0,0.0};
struct pj_opaque *Q = static_cast<struct pj_opaque*>(P->opaque);
double rh;
xy.y = Q->cphi1 - xy.y;
rh = hypot(xy.x, xy.y);
lp.phi = Q->cphi1 + Q->phi1 - rh;
if (fabs(lp.phi) > M_HALFPI) {
proj_errno_set(P, PROJ_ERR_COORD_TRANSFM_OUTSIDE_PROJECTION_DOMAIN);
return lp;
}
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 PJ_LP bonne_e_inverse (PJ_XY xy, PJ *P) { /* Ellipsoidal, inverse */
PJ_LP lp = {0.0,0.0};
struct pj_opaque *Q = static_cast<struct pj_opaque*>(P->opaque);
double s, rh;
xy.y = Q->am1 - xy.y;
rh = hypot(xy.x, 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 {
proj_errno_set(P, PROJ_ERR_COORD_TRANSFM_OUTSIDE_PROJECTION_DOMAIN);
return lp;
}
return lp;
}
static PJ *destructor (PJ *P, int errlev) { /* Destructor */
if (nullptr==P)
return nullptr;
if (nullptr==P->opaque)
return pj_default_destructor (P, errlev);
free (static_cast<struct pj_opaque*>(P->opaque)->en);
return pj_default_destructor (P, errlev);
}
PJ *PROJECTION(bonne) {
double c;
struct pj_opaque *Q = static_cast<struct pj_opaque*>(calloc (1, sizeof (struct pj_opaque)));
if (nullptr==Q)
return pj_default_destructor (P, PROJ_ERR_OTHER /*ENOMEM*/);
P->opaque = Q;
P->destructor = destructor;
Q->phi1 = pj_param(P->ctx, P->params, "rlat_1").f;
if (fabs(Q->phi1) < EPS10)
{
proj_log_error(P, _("Invalid value for lat_1: |lat_1| should be > 0"));
return destructor(P, PROJ_ERR_INVALID_OP_ILLEGAL_ARG_VALUE);
}
if (P->es != 0.0) {
Q->en = pj_enfn(P->es);
if (nullptr==Q->en)
return destructor(P, PROJ_ERR_OTHER /*ENOMEM*/);
Q->am1 = sin(Q->phi1);
c = cos(Q->phi1);
Q->m1 = pj_mlfn(Q->phi1, Q->am1, c, Q->en);
Q->am1 = c / (sqrt(1. - P->es * Q->am1 * Q->am1) * Q->am1);
P->inv = bonne_e_inverse;
P->fwd = bonne_e_forward;
} else {
if (fabs(Q->phi1) + EPS10 >= M_HALFPI)
Q->cphi1 = 0.;
else
Q->cphi1 = 1. / tan(Q->phi1);
P->inv = bonne_s_inverse;
P->fwd = bonne_s_forward;
}
return P;
}
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