diff options
Diffstat (limited to 'src/PJ_oea.cpp')
| -rw-r--r-- | src/PJ_oea.cpp | 85 |
1 files changed, 85 insertions, 0 deletions
diff --git a/src/PJ_oea.cpp b/src/PJ_oea.cpp new file mode 100644 index 00000000..b39e8d5a --- /dev/null +++ b/src/PJ_oea.cpp @@ -0,0 +1,85 @@ +#define PJ_LIB__ +#include <errno.h> +#include "proj.h" +#include "projects.h" +#include "proj_math.h" + +PROJ_HEAD(oea, "Oblated Equal Area") "\n\tMisc Sph\n\tn= m= theta="; + +struct pj_opaque { + double theta; + double m, n; + double two_r_m, two_r_n, rm, rn, hm, hn; + double cp0, sp0; +}; + + +static XY s_forward (LP lp, PJ *P) { /* Spheroidal, forward */ + XY xy = {0.0,0.0}; + struct pj_opaque *Q = static_cast<struct pj_opaque*>(P->opaque); + double Az, M, N, cp, sp, cl, shz; + + cp = cos(lp.phi); + sp = sin(lp.phi); + cl = cos(lp.lam); + Az = aatan2(cp * sin(lp.lam), Q->cp0 * sp - Q->sp0 * cp * cl) + Q->theta; + shz = sin(0.5 * aacos(P->ctx, Q->sp0 * sp + Q->cp0 * cp * cl)); + M = aasin(P->ctx, shz * sin(Az)); + N = aasin(P->ctx, shz * cos(Az) * cos(M) / cos(M * Q->two_r_m)); + xy.y = Q->n * sin(N * Q->two_r_n); + xy.x = Q->m * sin(M * Q->two_r_m) * cos(N) / cos(N * Q->two_r_n); + + return xy; +} + + +static LP s_inverse (XY xy, PJ *P) { /* Spheroidal, inverse */ + LP lp = {0.0,0.0}; + struct pj_opaque *Q = static_cast<struct pj_opaque*>(P->opaque); + double N, M, xp, yp, z, Az, cz, sz, cAz; + + N = Q->hn * aasin(P->ctx,xy.y * Q->rn); + M = Q->hm * aasin(P->ctx,xy.x * Q->rm * cos(N * Q->two_r_n) / cos(N)); + xp = 2. * sin(M); + yp = 2. * sin(N) * cos(M * Q->two_r_m) / cos(M); + cAz = cos(Az = aatan2(xp, yp) - Q->theta); + z = 2. * aasin(P->ctx, 0.5 * hypot(xp, yp)); + sz = sin(z); + cz = cos(z); + lp.phi = aasin(P->ctx, Q->sp0 * cz + Q->cp0 * sz * cAz); + lp.lam = aatan2(sz * sin(Az), + Q->cp0 * cz - Q->sp0 * sz * cAz); + + return lp; +} + + + + +PJ *PROJECTION(oea) { + struct pj_opaque *Q = static_cast<struct pj_opaque*>(pj_calloc (1, sizeof (struct pj_opaque))); + if (0==Q) + return pj_default_destructor (P, ENOMEM); + P->opaque = Q; + + if (((Q->n = pj_param(P->ctx, P->params, "dn").f) <= 0.) || + ((Q->m = pj_param(P->ctx, P->params, "dm").f) <= 0.)) { + return pj_default_destructor(P, PJD_ERR_INVALID_M_OR_N); + } else { + Q->theta = pj_param(P->ctx, P->params, "rtheta").f; + Q->sp0 = sin(P->phi0); + Q->cp0 = cos(P->phi0); + Q->rn = 1./ Q->n; + Q->rm = 1./ Q->m; + Q->two_r_n = 2. * Q->rn; + Q->two_r_m = 2. * Q->rm; + Q->hm = 0.5 * Q->m; + Q->hn = 0.5 * Q->n; + P->fwd = s_forward; + P->inv = s_inverse; + P->es = 0.; + } + + return P; +} + |
