diff options
Diffstat (limited to 'src/projections/somerc.cpp')
| -rw-r--r-- | src/projections/somerc.cpp | 94 |
1 files changed, 94 insertions, 0 deletions
diff --git a/src/projections/somerc.cpp b/src/projections/somerc.cpp new file mode 100644 index 00000000..15d2e765 --- /dev/null +++ b/src/projections/somerc.cpp @@ -0,0 +1,94 @@ +#define PJ_LIB__ + +#include <errno.h> +#include <math.h> + +#include "proj.h" +#include "projects.h" + +PROJ_HEAD(somerc, "Swiss. Obl. Mercator") "\n\tCyl, Ell\n\tFor CH1903"; + +namespace { // anonymous namespace +struct pj_opaque { + double K, c, hlf_e, kR, cosp0, sinp0; +}; +} // anonymous namespace + +#define EPS 1.e-10 +#define NITER 6 + + +static XY e_forward (LP lp, PJ *P) { /* Ellipsoidal, forward */ + XY xy = {0.0, 0.0}; + double phip, lamp, phipp, lampp, sp, cp; + struct pj_opaque *Q = static_cast<struct pj_opaque*>(P->opaque); + + sp = P->e * sin (lp.phi); + phip = 2.* atan ( exp ( Q->c * ( + log (tan (M_FORTPI + 0.5 * lp.phi)) - Q->hlf_e * log ((1. + sp)/(1. - sp))) + + Q->K)) - M_HALFPI; + lamp = Q->c * lp.lam; + cp = cos(phip); + phipp = aasin (P->ctx, Q->cosp0 * sin (phip) - Q->sinp0 * cp * cos (lamp)); + lampp = aasin (P->ctx, cp * sin (lamp) / cos (phipp)); + xy.x = Q->kR * lampp; + xy.y = Q->kR * log (tan (M_FORTPI + 0.5 * phipp)); + 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 phip, lamp, phipp, lampp, cp, esp, con, delp; + int i; + + phipp = 2. * (atan (exp (xy.y / Q->kR)) - M_FORTPI); + lampp = xy.x / Q->kR; + cp = cos (phipp); + phip = aasin (P->ctx, Q->cosp0 * sin (phipp) + Q->sinp0 * cp * cos (lampp)); + lamp = aasin (P->ctx, cp * sin (lampp) / cos (phip)); + con = (Q->K - log (tan (M_FORTPI + 0.5 * phip)))/Q->c; + for (i = NITER; i ; --i) { + esp = P->e * sin(phip); + delp = (con + log(tan(M_FORTPI + 0.5 * phip)) - Q->hlf_e * + log((1. + esp)/(1. - esp)) ) * + (1. - esp * esp) * cos(phip) * P->rone_es; + phip -= delp; + if (fabs(delp) < EPS) + break; + } + if (i) { + lp.phi = phip; + lp.lam = lamp / Q->c; + } else { + proj_errno_set(P, PJD_ERR_TOLERANCE_CONDITION); + return lp; + } + return (lp); +} + + +PJ *PROJECTION(somerc) { + double cp, phip0, sp; + 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; + + + Q->hlf_e = 0.5 * P->e; + cp = cos (P->phi0); + cp *= cp; + Q->c = sqrt (1 + P->es * cp * cp * P->rone_es); + sp = sin (P->phi0); + Q->cosp0 = cos( phip0 = aasin (P->ctx, Q->sinp0 = sp / Q->c) ); + sp *= P->e; + Q->K = log (tan (M_FORTPI + 0.5 * phip0)) - Q->c * ( + log (tan (M_FORTPI + 0.5 * P->phi0)) - Q->hlf_e * + log ((1. + sp) / (1. - sp))); + Q->kR = P->k0 * sqrt(P->one_es) / (1. - sp * sp); + P->inv = e_inverse; + P->fwd = e_forward; + return P; +} |
