#define PROJ_PARMS__ \ double C_x, C_y, C_p; #define PJ_LIB__ #include PROJ_HEAD(moll, "Mollweide") "\n\tPCyl., Sph."; PROJ_HEAD(wag4, "Wagner IV") "\n\tPCyl., Sph."; PROJ_HEAD(wag5, "Wagner V") "\n\tPCyl., Sph."; #define MAX_ITER 10 #define LOOP_TOL 1e-7 FORWARD(s_forward); /* spheroid */ double k, V; int i; k = P->C_p * sin(lp.phi); for (i = MAX_ITER; i ; --i) { lp.phi -= V = (lp.phi + sin(lp.phi) - k) / (1. + cos(lp.phi)); if (fabs(V) < LOOP_TOL) break; } if (!i) lp.phi = (lp.phi < 0.) ? -HALFPI : HALFPI; else lp.phi *= 0.5; xy.x = P->C_x * lp.lam * cos(lp.phi); xy.y = P->C_y * sin(lp.phi); return (xy); } INVERSE(s_inverse); /* spheroid */ double th, s; lp.phi = aasin(xy.y / P->C_y); lp.lam = xy.x / (P->C_x * cos(lp.phi)); lp.phi += lp.phi; lp.phi = aasin((lp.phi + sin(lp.phi)) / P->C_p); return (lp); } FREEUP; if (P) pj_dalloc(P); } static PJ * setup(PJ *P, double p) { double r, sp, p2 = p + p; P->es = 0; sp = sin(p); r = sqrt(TWOPI * sp / (p2 + sin(p2))); P->C_x = 2. * r / PI; P->C_y = r / sp; P->C_p = p2 + sin(p2); P->inv = s_inverse; P->fwd = s_forward; return P; } ENTRY0(moll) ENDENTRY(setup(P, HALFPI)) ENTRY0(wag4) ENDENTRY(setup(P, PI/3.)) ENTRY0(wag5) P->es = 0; P->C_x = 0.90977; P->C_y = 1.65014; P->C_p = 3.00896; P->inv = s_inverse; P->fwd = s_forward; ENDENTRY(P)