diff options
Diffstat (limited to 'src/3rdparty/proj/PJ_gn_sinu.c')
-rw-r--r-- | src/3rdparty/proj/PJ_gn_sinu.c | 100 |
1 files changed, 100 insertions, 0 deletions
diff --git a/src/3rdparty/proj/PJ_gn_sinu.c b/src/3rdparty/proj/PJ_gn_sinu.c new file mode 100644 index 00000000..3bf9854f --- /dev/null +++ b/src/3rdparty/proj/PJ_gn_sinu.c @@ -0,0 +1,100 @@ +#define PROJ_PARMS__ \ + double *en; \ + double m, n, C_x, C_y; +#define PJ_LIB__ +#include <projects.h> +PROJ_HEAD(gn_sinu, "General Sinusoidal Series") "\n\tPCyl, Sph.\n\tm= n="; +PROJ_HEAD(sinu, "Sinusoidal (Sanson-Flamsteed)") "\n\tPCyl, Sph&Ell"; +PROJ_HEAD(eck6, "Eckert VI") "\n\tPCyl, Sph."; +PROJ_HEAD(mbtfps, "McBryde-Thomas Flat-Polar Sinusoidal") "\n\tPCyl, Sph."; +#define EPS10 1e-10 +#define MAX_ITER 8 +#define LOOP_TOL 1e-7 +/* Ellipsoidal Sinusoidal only */ +FORWARD(e_forward); /* ellipsoid */ + double s, c; + + xy.y = pj_mlfn(lp.phi, s = sin(lp.phi), c = cos(lp.phi), P->en); + xy.x = lp.lam * c / sqrt(1. - P->es * s * s); + return (xy); +} +INVERSE(e_inverse); /* ellipsoid */ + double s; + + if ((s = fabs(lp.phi = pj_inv_mlfn(xy.y, P->es, P->en))) < HALFPI) { + s = sin(lp.phi); + lp.lam = xy.x * sqrt(1. - P->es * s * s) / cos(lp.phi); + } else if ((s - EPS10) < HALFPI) + lp.lam = 0.; + else I_ERROR; + return (lp); +} +/* General spherical sinusoidals */ +FORWARD(s_forward); /* sphere */ + if (!P->m) + lp.phi = P->n != 1. ? aasin(P->n * sin(lp.phi)): lp.phi; + else { + double k, V; + int i; + + k = P->n * sin(lp.phi); + for (i = MAX_ITER; i ; --i) { + lp.phi -= V = (P->m * lp.phi + sin(lp.phi) - k) / + (P->m + cos(lp.phi)); + if (fabs(V) < LOOP_TOL) + break; + } + if (!i) + F_ERROR + } + xy.x = P->C_x * lp.lam * (P->m + cos(lp.phi)); + xy.y = P->C_y * lp.phi; + return (xy); +} +INVERSE(s_inverse); /* sphere */ + double s; + + xy.y /= P->C_y; + lp.phi = P->m ? aasin((P->m * xy.y + sin(xy.y)) / P->n) : + ( P->n != 1. ? aasin(sin(xy.y) / P->n) : xy.y ); + lp.lam = xy.x / (P->C_x * (P->m + cos(xy.y))); + return (lp); +} +FREEUP; if (P) { if (P->en) pj_dalloc(P->en); pj_dalloc(P); } } + static void /* for spheres, only */ +setup(PJ *P) { + P->es = 0; + P->C_x = (P->C_y = sqrt((P->m + 1.) / P->n))/(P->m + 1.); + P->inv = s_inverse; + P->fwd = s_forward; +} +ENTRY1(sinu, en) + if (!(P->en = pj_enfn(P->es))) + E_ERROR_0; + if (P->es) { + P->inv = e_inverse; + P->fwd = e_forward; + } else { + P->n = 1.; + P->m = 0.; + setup(P); + } +ENDENTRY(P) +ENTRY1(eck6, en) + P->m = 1.; + P->n = 2.570796326794896619231321691; + setup(P); +ENDENTRY(P) +ENTRY1(mbtfps, en) + P->m = 0.5; + P->n = 1.785398163397448309615660845; + setup(P); +ENDENTRY(P) +ENTRY1(gn_sinu, en) + if (pj_param(P->params, "tn").i && pj_param(P->params, "tm").i) { + P->n = pj_param(P->params, "dn").f; + P->m = pj_param(P->params, "dm").f; + } else + E_ERROR(-99) + setup(P); +ENDENTRY(P) |