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-rw-r--r--src/3rdparty/proj/PJ_vandg4.c41
1 files changed, 41 insertions, 0 deletions
diff --git a/src/3rdparty/proj/PJ_vandg4.c b/src/3rdparty/proj/PJ_vandg4.c
new file mode 100644
index 00000000..d6705031
--- /dev/null
+++ b/src/3rdparty/proj/PJ_vandg4.c
@@ -0,0 +1,41 @@
+#define PJ_LIB__
+#include <projects.h>
+PROJ_HEAD(vandg4, "van der Grinten IV") "\n\tMisc Sph, no inv.";
+#define TOL 1e-10
+#define TWORPI 0.63661977236758134308
+FORWARD(s_forward); /* spheroid */
+ double x1, t, bt, ct, ft, bt2, ct2, dt, dt2;
+
+ if (fabs(lp.phi) < TOL) {
+ xy.x = lp.lam;
+ xy.y = 0.;
+ } else if (fabs(lp.lam) < TOL || fabs(fabs(lp.phi) - HALFPI) < TOL) {
+ xy.x = 0.;
+ xy.y = lp.phi;
+ } else {
+ bt = fabs(TWORPI * lp.phi);
+ bt2 = bt * bt;
+ ct = 0.5 * (bt * (8. - bt * (2. + bt2)) - 5.)
+ / (bt2 * (bt - 1.));
+ ct2 = ct * ct;
+ dt = TWORPI * lp.lam;
+ dt = dt + 1. / dt;
+ dt = sqrt(dt * dt - 4.);
+ if ((fabs(lp.lam) - HALFPI) < 0.) dt = -dt;
+ dt2 = dt * dt;
+ x1 = bt + ct; x1 *= x1;
+ t = bt + 3.*ct;
+ ft = x1 * (bt2 + ct2 * dt2 - 1.) + (1.-bt2) * (
+ bt2 * (t * t + 4. * ct2) +
+ ct2 * (12. * bt * ct + 4. * ct2) );
+ x1 = (dt*(x1 + ct2 - 1.) + 2.*sqrt(ft)) /
+ (4.* x1 + dt2);
+ xy.x = HALFPI * x1;
+ xy.y = HALFPI * sqrt(1. + dt * fabs(x1) - x1 * x1);
+ if (lp.lam < 0.) xy.x = -xy.x;
+ if (lp.phi < 0.) xy.y = -xy.y;
+ }
+ return (xy);
+}
+FREEUP; if (P) pj_dalloc(P); }
+ENTRY0(vandg4) P->es = 0.; P->fwd = s_forward; ENDENTRY(P)