diff options
Diffstat (limited to 'src/projections/ocea.cpp')
| -rw-r--r-- | src/projections/ocea.cpp | 102 |
1 files changed, 102 insertions, 0 deletions
diff --git a/src/projections/ocea.cpp b/src/projections/ocea.cpp new file mode 100644 index 00000000..0576ace7 --- /dev/null +++ b/src/projections/ocea.cpp @@ -0,0 +1,102 @@ +#define PJ_LIB__ + +#include <errno.h> +#include <math.h> + +#include "projects.h" + +PROJ_HEAD(ocea, "Oblique Cylindrical Equal Area") "\n\tCyl, Sph" + "lonc= alpha= or\n\tlat_1= lat_2= lon_1= lon_2="; + +namespace { // anonymous namespace +struct pj_opaque { + double rok; + double rtk; + double sinphi; + double cosphi; + double singam; + double cosgam; +}; +} // anonymous namespace + + +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 t; + xy.y = sin(lp.lam); + t = cos(lp.lam); + xy.x = atan((tan(lp.phi) * Q->cosphi + Q->sinphi * xy.y) / t); + if (t < 0.) + xy.x += M_PI; + xy.x *= Q->rtk; + xy.y = Q->rok * (Q->sinphi * sin(lp.phi) - Q->cosphi * cos(lp.phi) * xy.y); + 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 t, s; + + xy.y /= Q->rok; + xy.x /= Q->rtk; + t = sqrt(1. - xy.y * xy.y); + lp.phi = asin(xy.y * Q->sinphi + t * Q->cosphi * (s = sin(xy.x))); + lp.lam = atan2(t * Q->sinphi * s - xy.y * Q->cosphi, + t * cos(xy.x)); + return lp; +} + + +PJ *PROJECTION(ocea) { + double phi_0=0.0, phi_1, phi_2, lam_1, lam_2, lonz, alpha; + + 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->rok = 1. / P->k0; + Q->rtk = P->k0; + /*If the keyword "alpha" is found in the sentence then use 1point+1azimuth*/ + if ( pj_param(P->ctx, P->params, "talpha").i) { + /*Define Pole of oblique transformation from 1 point & 1 azimuth*/ + alpha = pj_param(P->ctx, P->params, "ralpha").f; + lonz = pj_param(P->ctx, P->params, "rlonc").f; + /*Equation 9-8 page 80 (http://pubs.usgs.gov/pp/1395/report.pdf)*/ + Q->singam = atan(-cos(alpha)/(-sin(phi_0) * sin(alpha))) + lonz; + /*Equation 9-7 page 80 (http://pubs.usgs.gov/pp/1395/report.pdf)*/ + Q->sinphi = asin(cos(phi_0) * sin(alpha)); + /*If the keyword "alpha" is NOT found in the sentence then use 2points*/ + } else { + /*Define Pole of oblique transformation from 2 points*/ + phi_1 = pj_param(P->ctx, P->params, "rlat_1").f; + phi_2 = pj_param(P->ctx, P->params, "rlat_2").f; + lam_1 = pj_param(P->ctx, P->params, "rlon_1").f; + lam_2 = pj_param(P->ctx, P->params, "rlon_2").f; + /*Equation 9-1 page 80 (http://pubs.usgs.gov/pp/1395/report.pdf)*/ + Q->singam = atan2(cos(phi_1) * sin(phi_2) * cos(lam_1) - + sin(phi_1) * cos(phi_2) * cos(lam_2), + sin(phi_1) * cos(phi_2) * sin(lam_2) - + cos(phi_1) * sin(phi_2) * sin(lam_1) ); + + /* take care of P->lam0 wrap-around when +lam_1=-90*/ + if (lam_1 == -M_HALFPI) + Q->singam = -Q->singam; + + /*Equation 9-2 page 80 (http://pubs.usgs.gov/pp/1395/report.pdf)*/ + Q->sinphi = atan(-cos(Q->singam - lam_1) / tan(phi_1)); + } + P->lam0 = Q->singam + M_HALFPI; + Q->cosphi = cos(Q->sinphi); + Q->sinphi = sin(Q->sinphi); + Q->cosgam = cos(Q->singam); + Q->singam = sin(Q->singam); + P->inv = s_inverse; + P->fwd = s_forward; + P->es = 0.; + + return P; +} |
