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PJ_tmerc.c
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PJ_tmerc.c
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#define PROJ_PARMS__ \
double esp; \
double ml0; \
double *en;
#define PJ_LIB__
#include <projects.h>
PROJ_HEAD(tmerc, "Transverse Mercator") "\n\tCyl, Sph&Ell";
PROJ_HEAD(utm, "Universal Transverse Mercator (UTM)")
"\n\tCyl, Sph\n\tzone= south";
#define EPS10 1.e-10
#define aks0 P->esp
#define aks5 P->ml0
#define FC1 1.
#define FC2 .5
#define FC3 .16666666666666666666
#define FC4 .08333333333333333333
#define FC5 .05
#define FC6 .03333333333333333333
#define FC7 .02380952380952380952
#define FC8 .01785714285714285714
FORWARD(e_forward); /* ellipse */
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 < -HALFPI || lp.lam > HALFPI )
{
xy.x = HUGE_VAL;
xy.y = HUGE_VAL;
pj_ctx_set_errno( P->ctx, -14 );
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 = P->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, P->en) - P->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);
}
FORWARD(s_forward); /* sphere */
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 < -HALFPI || lp.lam > HALFPI )
{
xy.x = HUGE_VAL;
xy.y = HUGE_VAL;
pj_ctx_set_errno( P->ctx, -14 );
return xy;
}
b = (cosphi = cos(lp.phi)) * sin(lp.lam);
if (fabs(fabs(b) - 1.) <= EPS10) F_ERROR;
xy.x = aks5 * log((1. + b) / (1. - b));
if ((b = fabs( xy.y = cosphi * cos(lp.lam) / sqrt(1. - b * b) )) >= 1.) {
if ((b - 1.) > EPS10) F_ERROR
else xy.y = 0.;
} else
xy.y = acos(xy.y);
if (lp.phi < 0.) xy.y = -xy.y;
xy.y = aks0 * (xy.y - P->phi0);
return (xy);
}
INVERSE(e_inverse); /* ellipsoid */
double n, con, cosphi, d, ds, sinphi, t;
lp.phi = pj_inv_mlfn(P->ctx, P->ml0 + xy.y / P->k0, P->es, P->en);
if (fabs(lp.phi) >= HALFPI) {
lp.phi = xy.y < 0. ? -HALFPI : HALFPI;
lp.lam = 0.;
} else {
sinphi = sin(lp.phi);
cosphi = cos(lp.phi);
t = fabs(cosphi) > 1e-10 ? sinphi/cosphi : 0.;
n = P->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. + 1574. * 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);
}
INVERSE(s_inverse); /* sphere */
double h, g;
h = exp(xy.x / aks0);
g = .5 * (h - 1. / h);
h = cos(P->phi0 + xy.y / aks0);
lp.phi = asin(sqrt((1. - h * h) / (1. + g * g)));
if (xy.y < 0.) lp.phi = -lp.phi;
lp.lam = (g || h) ? atan2(g, h) : 0.;
return (lp);
}
FREEUP;
if (P) {
if (P->en)
pj_dalloc(P->en);
pj_dalloc(P);
}
}
static PJ *
setup(PJ *P) { /* general initialization */
if (P->es) {
if (!(P->en = pj_enfn(P->es)))
E_ERROR_0;
P->ml0 = pj_mlfn(P->phi0, sin(P->phi0), cos(P->phi0), P->en);
P->esp = P->es / (1. - P->es);
P->inv = e_inverse;
P->fwd = e_forward;
} else {
aks0 = P->k0;
aks5 = .5 * aks0;
P->inv = s_inverse;
P->fwd = s_forward;
}
return P;
}
ENTRY1(tmerc, en)
ENDENTRY(setup(P))
ENTRY1(utm, en)
int zone;
if (!P->es) E_ERROR(-34);
P->y0 = pj_param(P->ctx, P->params, "bsouth").i ? 10000000. : 0.;
P->x0 = 500000.;
if (pj_param(P->ctx, P->params, "tzone").i) /* zone input ? */
if ((zone = pj_param(P->ctx, P->params, "izone").i) > 0 && zone <= 60)
--zone;
else
E_ERROR(-35)
else /* nearest central meridian input */
if ((zone = floor((adjlon(P->lam0) + PI) * 30. / PI)) < 0)
zone = 0;
else if (zone >= 60)
zone = 59;
P->lam0 = (zone + .5) * PI / 30. - PI;
P->k0 = 0.9996;
P->phi0 = 0.;
ENDENTRY(setup(P))