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-rw-r--r--src/projections/ocea.cpp102
1 files changed, 102 insertions, 0 deletions
diff --git a/src/projections/ocea.cpp b/src/projections/ocea.cpp
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+++ b/src/projections/ocea.cpp
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+#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;
+}