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-rw-r--r--src/PJ_poly.c102
1 files changed, 102 insertions, 0 deletions
diff --git a/src/PJ_poly.c b/src/PJ_poly.c
new file mode 100644
index 00000000..04d8cd96
--- /dev/null
+++ b/src/PJ_poly.c
@@ -0,0 +1,102 @@
+#ifndef lint
+static const char SCCSID[]="@(#)PJ_poly.c 4.1 94/02/15 GIE REL";
+#endif
+#define PROJ_PARMS__ \
+ double ml0; \
+ double *en;
+#define PJ_LIB__
+#include <projects.h>
+PROJ_HEAD(poly, "Polyconic (American)")
+ "\n\tConic, Sph&Ell";
+#define TOL 1e-10
+#define CONV 1e-10
+#define N_ITER 10
+#define I_ITER 20
+#define ITOL 1.e-12
+FORWARD(e_forward); /* ellipsoid */
+ double ms, sp, cp;
+
+ if (fabs(lp.phi) <= TOL) { xy.x = lp.lam; xy.y = -P->ml0; }
+ else {
+ sp = sin(lp.phi);
+ ms = fabs(cp = cos(lp.phi)) > TOL ? pj_msfn(sp, cp, P->es) / sp : 0.;
+ xy.x = ms * sin(lp.lam *= sp);
+ xy.y = (pj_mlfn(lp.phi, sp, cp, P->en) - P->ml0) + ms * (1. - cos(lp.lam));
+ }
+ return (xy);
+}
+FORWARD(s_forward); /* spheroid */
+ double cot, E;
+
+ if (fabs(lp.phi) <= TOL) { xy.x = lp.lam; xy.y = P->ml0; }
+ else {
+ cot = 1. / tan(lp.phi);
+ xy.x = sin(E = lp.lam * sin(lp.phi)) * cot;
+ xy.y = lp.phi - P->phi0 + cot * (1. - cos(E));
+ }
+ return (xy);
+}
+INVERSE(e_inverse); /* ellipsoid */
+ xy.y += P->ml0;
+ if (fabs(xy.y) <= TOL) { lp.lam = xy.x; lp.phi = 0.; }
+ else {
+ double r, c, sp, cp, s2ph, ml, mlb, mlp, dPhi;
+ int i;
+
+ r = xy.y * xy.y + xy.x * xy.x;
+ for (lp.phi = xy.y, i = I_ITER; i ; --i) {
+ sp = sin(lp.phi);
+ s2ph = sp * ( cp = cos(lp.phi));
+ if (fabs(cp) < ITOL)
+ I_ERROR;
+ c = sp * (mlp = sqrt(1. - P->es * sp * sp)) / cp;
+ ml = pj_mlfn(lp.phi, sp, cp, P->en);
+ mlb = ml * ml + r;
+ mlp = P->one_es / (mlp * mlp * mlp);
+ lp.phi += ( dPhi =
+ ( ml + ml + c * mlb - 2. * xy.y * (c * ml + 1.) ) / (
+ P->es * s2ph * (mlb - 2. * xy.y * ml) / c +
+ 2.* (xy.y - ml) * (c * mlp - 1. / s2ph) - mlp - mlp ));
+ if (fabs(dPhi) <= ITOL)
+ break;
+ }
+ if (!i)
+ I_ERROR;
+ c = sin(lp.phi);
+ lp.lam = asin(xy.x * tan(lp.phi) * sqrt(1. - P->es * c * c)) / sin(lp.phi);
+ }
+ return (lp);
+}
+INVERSE(s_inverse); /* spheroid */
+ double B, dphi, tp;
+ int i;
+
+ if (fabs(xy.y = P->phi0 + xy.y) <= TOL) { lp.lam = xy.x; lp.phi = 0.; }
+ else {
+ lp.phi = xy.y;
+ B = xy.x * xy.x + xy.y * xy.y;
+ i = N_ITER;
+ do {
+ tp = tan(lp.phi);
+ lp.phi -= (dphi = (xy.y * (lp.phi * tp + 1.) - lp.phi -
+ .5 * ( lp.phi * lp.phi + B) * tp) /
+ ((lp.phi - xy.y) / tp - 1.));
+ } while (fabs(dphi) > CONV && --i);
+ if (! i) I_ERROR;
+ lp.lam = asin(xy.x * tan(lp.phi)) / sin(lp.phi);
+ }
+ return (lp);
+}
+FREEUP; if (P) { if (P->en) pj_dalloc(P->en); pj_dalloc(P); } }
+ENTRY1(poly, en)
+ if (P->es) {
+ if (!(P->en = pj_enfn(P->es))) E_ERROR_0;
+ P->ml0 = pj_mlfn(P->phi0, sin(P->phi0), cos(P->phi0), P->en);
+ P->inv = e_inverse;
+ P->fwd = e_forward;
+ } else {
+ P->ml0 = -P->phi0;
+ P->inv = s_inverse;
+ P->fwd = s_forward;
+ }
+ENDENTRY(P)