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#define PJ_LIB__
#include <errno.h>
#include <math.h>
#include "proj.h"
#include "projects.h"
PROJ_HEAD(tmerc, "Transverse Mercator") "\n\tCyl, Sph&Ell";
namespace { // anonymous namespace
struct pj_opaque {
double esp;
double ml0;
double *en;
};
} // anonymous namespace
#define EPS10 1.e-10
#define FC1 1.
#define FC2 .5
#define FC3 .16666666666666666666
#define FC4 .08333333333333333333
#define FC5 .05
#define FC6 .03333333333333333333
#define FC7 .02380952380952380952
#define FC8 .01785714285714285714
static XY e_forward (LP lp, PJ *P) { /* Ellipsoidal, forward */
XY xy = {0.0, 0.0};
struct pj_opaque *Q = static_cast<struct pj_opaque*>(P->opaque);
double al, als, n, cosphi, sinphi, t;
/*
* Fail if our longitude is more than 90 degrees from the
* central meridian since the results are essentially garbage.
* Is error -20 really an appropriate return value?
*
* http://trac.osgeo.org/proj/ticket/5
*/
if( lp.lam < -M_HALFPI || lp.lam > M_HALFPI ) {
xy.x = HUGE_VAL;
xy.y = HUGE_VAL;
pj_ctx_set_errno( P->ctx, PJD_ERR_LAT_OR_LON_EXCEED_LIMIT );
return xy;
}
sinphi = sin (lp.phi);
cosphi = cos (lp.phi);
t = fabs (cosphi) > 1e-10 ? sinphi/cosphi : 0.;
t *= t;
al = cosphi * lp.lam;
als = al * al;
al /= sqrt (1. - P->es * sinphi * sinphi);
n = Q->esp * cosphi * cosphi;
xy.x = P->k0 * al * (FC1 +
FC3 * als * (1. - t + n +
FC5 * als * (5. + t * (t - 18.) + n * (14. - 58. * t)
+ FC7 * als * (61. + t * ( t * (179. - t) - 479. ) )
)));
xy.y = P->k0 * (pj_mlfn(lp.phi, sinphi, cosphi, Q->en) - Q->ml0 +
sinphi * al * lp.lam * FC2 * ( 1. +
FC4 * als * (5. - t + n * (9. + 4. * n) +
FC6 * als * (61. + t * (t - 58.) + n * (270. - 330 * t)
+ FC8 * als * (1385. + t * ( t * (543. - t) - 3111.) )
))));
return (xy);
}
static XY s_forward (LP lp, PJ *P) { /* Spheroidal, forward */
XY xy = {0.0,0.0};
double b, cosphi;
/*
* Fail if our longitude is more than 90 degrees from the
* central meridian since the results are essentially garbage.
* Is error -20 really an appropriate return value?
*
* http://trac.osgeo.org/proj/ticket/5
*/
if( lp.lam < -M_HALFPI || lp.lam > M_HALFPI ) {
xy.x = HUGE_VAL;
xy.y = HUGE_VAL;
pj_ctx_set_errno( P->ctx, PJD_ERR_LAT_OR_LON_EXCEED_LIMIT );
return xy;
}
cosphi = cos(lp.phi);
b = cosphi * sin (lp.lam);
if (fabs (fabs (b) - 1.) <= EPS10) {
proj_errno_set(P, PJD_ERR_TOLERANCE_CONDITION);
return xy;
}
xy.x = static_cast<struct pj_opaque*>(P->opaque)->ml0 * log ((1. + b) / (1. - b));
xy.y = cosphi * cos (lp.lam) / sqrt (1. - b * b);
b = fabs ( xy.y );
if (b >= 1.) {
if ((b - 1.) > EPS10) {
proj_errno_set(P, PJD_ERR_TOLERANCE_CONDITION);
return xy;
}
else xy.y = 0.;
} else
xy.y = acos (xy.y);
if (lp.phi < 0.)
xy.y = -xy.y;
xy.y = static_cast<struct pj_opaque*>(P->opaque)->esp * (xy.y - P->phi0);
return xy;
}
static LP e_inverse (XY xy, PJ *P) { /* Ellipsoidal, inverse */
LP lp = {0.0,0.0};
struct pj_opaque *Q = static_cast<struct pj_opaque*>(P->opaque);
double n, con, cosphi, d, ds, sinphi, t;
lp.phi = pj_inv_mlfn(P->ctx, Q->ml0 + xy.y / P->k0, P->es, Q->en);
if (fabs(lp.phi) >= M_HALFPI) {
lp.phi = xy.y < 0. ? -M_HALFPI : M_HALFPI;
lp.lam = 0.;
} else {
sinphi = sin(lp.phi);
cosphi = cos(lp.phi);
t = fabs (cosphi) > 1e-10 ? sinphi/cosphi : 0.;
n = Q->esp * cosphi * cosphi;
d = xy.x * sqrt (con = 1. - P->es * sinphi * sinphi) / P->k0;
con *= t;
t *= t;
ds = d * d;
lp.phi -= (con * ds / (1.-P->es)) * FC2 * (1. -
ds * FC4 * (5. + t * (3. - 9. * n) + n * (1. - 4 * n) -
ds * FC6 * (61. + t * (90. - 252. * n +
45. * t) + 46. * n
- ds * FC8 * (1385. + t * (3633. + t * (4095. + 1575. * t)) )
)));
lp.lam = d*(FC1 -
ds*FC3*( 1. + 2.*t + n -
ds*FC5*(5. + t*(28. + 24.*t + 8.*n) + 6.*n
- ds * FC7 * (61. + t * (662. + t * (1320. + 720. * t)) )
))) / cosphi;
}
return lp;
}
static LP s_inverse (XY xy, PJ *P) { /* Spheroidal, inverse */
LP lp = {0.0, 0.0};
double h, g;
h = exp(xy.x / static_cast<struct pj_opaque*>(P->opaque)->esp);
g = .5 * (h - 1. / h);
h = cos (P->phi0 + xy.y / static_cast<struct pj_opaque*>(P->opaque)->esp);
lp.phi = asin(sqrt((1. - h * h) / (1. + g * g)));
/* Make sure that phi is on the correct hemisphere when false northing is used */
if (xy.y < 0. && -lp.phi+P->phi0 < 0.0) lp.phi = -lp.phi;
lp.lam = (g != 0.0 || h != 0.0) ? atan2 (g, h) : 0.;
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);
pj_dealloc (static_cast<struct pj_opaque*>(P->opaque)->en);
return pj_default_destructor(P, errlev);
}
static PJ *setup(PJ *P) { /* general initialization */
struct pj_opaque *Q = static_cast<struct pj_opaque*>(P->opaque);
if (P->es != 0.0) {
if (!(Q->en = pj_enfn(P->es)))
return pj_default_destructor(P, ENOMEM);
Q->ml0 = pj_mlfn(P->phi0, sin(P->phi0), cos(P->phi0), Q->en);
Q->esp = P->es / (1. - P->es);
P->inv = e_inverse;
P->fwd = e_forward;
} else {
Q->esp = P->k0;
Q->ml0 = .5 * Q->esp;
P->inv = s_inverse;
P->fwd = s_forward;
}
return P;
}
PJ *PROJECTION(tmerc) {
struct pj_opaque *Q = static_cast<struct pj_opaque*>(pj_calloc (1, sizeof (struct pj_opaque)));
if (nullptr==Q)
return pj_default_destructor (P, ENOMEM);
P->opaque = Q;
P->destructor = destructor;
return setup(P);
}
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