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| author | Kristian Evers <kristianevers@gmail.com> | 2016-04-28 21:26:58 +0200 |
|---|---|---|
| committer | Kristian Evers <kristianevers@gmail.com> | 2016-04-28 21:26:58 +0200 |
| commit | 9e39856aaeb4bc6feb61065069ea710f96a74f4a (patch) | |
| tree | c991fb186a052fc8febdcc11288dd06252cb8313 /src | |
| parent | 47a7800d0396d36dbb099e9a4a86378f5bb4a1dd (diff) | |
| download | PROJ-9e39856aaeb4bc6feb61065069ea710f96a74f4a.tar.gz PROJ-9e39856aaeb4bc6feb61065069ea710f96a74f4a.zip | |
Converted mbtfpq
Diffstat (limited to 'src')
| -rw-r--r-- | src/PJ_aea.c | 1 | ||||
| -rw-r--r-- | src/PJ_mbtfpq.c | 159 |
2 files changed, 116 insertions, 44 deletions
diff --git a/src/PJ_aea.c b/src/PJ_aea.c index 863d9025..282c0b88 100644 --- a/src/PJ_aea.c +++ b/src/PJ_aea.c @@ -369,7 +369,6 @@ int pj_longlat_selftest (void) {return 10000;} int pj_lee_os_selftest (void) {return 10000;} -int pj_mbtfpq_selftest (void) {return 10000;} int pj_merc_selftest (void) {return 10000;} int pj_mil_os_selftest (void) {return 10000;} int pj_mill_selftest (void) {return 10000;} diff --git a/src/PJ_mbtfpq.c b/src/PJ_mbtfpq.c index 0d343fad..d382f45a 100644 --- a/src/PJ_mbtfpq.c +++ b/src/PJ_mbtfpq.c @@ -1,48 +1,121 @@ #define PJ_LIB__ -#include <projects.h> +#include <projects.h> + PROJ_HEAD(mbtfpq, "McBryde-Thomas Flat-Polar Quartic") "\n\tCyl., Sph."; -#define NITER 20 -#define EPS 1e-7 + +#define NITER 20 +#define EPS 1e-7 #define ONETOL 1.000001 -#define C 1.70710678118654752440 -#define RC 0.58578643762690495119 -#define FYC 1.87475828462269495505 -#define RYC 0.53340209679417701685 -#define FXC 0.31245971410378249250 -#define RXC 3.20041258076506210122 -FORWARD(s_forward); /* spheroid */ - double th1, c; - int i; - (void) P; - - c = C * sin(lp.phi); - for (i = NITER; i; --i) { - lp.phi -= th1 = (sin(.5*lp.phi) + sin(lp.phi) - c) / - (.5*cos(.5*lp.phi) + cos(lp.phi)); - if (fabs(th1) < EPS) break; - } - xy.x = FXC * lp.lam * (1.0 + 2. * cos(lp.phi)/cos(0.5 * lp.phi)); - xy.y = FYC * sin(0.5 * lp.phi); - return (xy); +#define C 1.70710678118654752440 +#define RC 0.58578643762690495119 +#define FYC 1.87475828462269495505 +#define RYC 0.53340209679417701685 +#define FXC 0.31245971410378249250 +#define RXC 3.20041258076506210122 + + +static XY s_forward (LP lp, PJ *P) { /* Spheroidal, forward */ + XY xy = {0.0,0.0}; + double th1, c; + int i; + (void) P; + + c = C * sin(lp.phi); + for (i = NITER; i; --i) { + lp.phi -= th1 = (sin(.5*lp.phi) + sin(lp.phi) - c) / + (.5*cos(.5*lp.phi) + cos(lp.phi)); + if (fabs(th1) < EPS) break; + } + xy.x = FXC * lp.lam * (1.0 + 2. * cos(lp.phi)/cos(0.5 * lp.phi)); + xy.y = FYC * sin(0.5 * lp.phi); + return xy; +} + + +static LP s_inverse (XY xy, PJ *P) { /* Spheroidal, inverse */ + LP lp = {0.0,0.0}; + double t; + + lp.phi = RYC * xy.y; + if (fabs(lp.phi) > 1.) { + if (fabs(lp.phi) > ONETOL) I_ERROR + else if (lp.phi < 0.) { t = -1.; lp.phi = -PI; } + else { t = 1.; lp.phi = PI; } + } else + lp.phi = 2. * asin(t = lp.phi); + lp.lam = RXC * xy.x / (1. + 2. * cos(lp.phi)/cos(0.5 * lp.phi)); + lp.phi = RC * (t + sin(lp.phi)); + if (fabs(lp.phi) > 1.) + if (fabs(lp.phi) > ONETOL) I_ERROR + else lp.phi = lp.phi < 0. ? -HALFPI : HALFPI; + else + lp.phi = asin(lp.phi); + return lp; +} + + +static void *freeup_new (PJ *P) { /* Destructor */ + if (0==P) + return 0; + + return pj_dealloc(P); +} + +static void freeup (PJ *P) { + freeup_new (P); + return; } -INVERSE(s_inverse); /* spheroid */ - double t; - - lp.phi = RYC * xy.y; - if (fabs(lp.phi) > 1.) { - if (fabs(lp.phi) > ONETOL) I_ERROR - else if (lp.phi < 0.) { t = -1.; lp.phi = -PI; } - else { t = 1.; lp.phi = PI; } - } else - lp.phi = 2. * asin(t = lp.phi); - lp.lam = RXC * xy.x / (1. + 2. * cos(lp.phi)/cos(0.5 * lp.phi)); - lp.phi = RC * (t + sin(lp.phi)); - if (fabs(lp.phi) > 1.) - if (fabs(lp.phi) > ONETOL) I_ERROR - else lp.phi = lp.phi < 0. ? -HALFPI : HALFPI; - else - lp.phi = asin(lp.phi); - return (lp); + + +PJ *PROJECTION(mbtfpq) { + + P->es = 0.; + P->inv = s_inverse; + P->fwd = s_forward; + + return P; } -FREEUP; if (P) pj_dalloc(P); } -ENTRY0(mbtfpq) P->es = 0.; P->inv = s_inverse; P->fwd = s_forward; ENDENTRY(P) + +#ifdef PJ_OMIT_SELFTEST +int pj_mbtfpq_selftest (void) {return 0;} +#else + +int pj_mbtfpq_selftest (void) { + double tolerance_lp = 1e-10; + double tolerance_xy = 1e-7; + + char s_args[] = {"+proj=mbtfpq +a=6400000 +lat_1=0.5 +lat_2=2"}; + + LP fwd_in[] = { + { 2, 1}, + { 2,-1}, + {-2, 1}, + {-2,-1} + }; + + XY s_fwd_expect[] = { + { 209391.854738393013, 119161.040199054827}, + { 209391.854738393013, -119161.040199054827}, + {-209391.854738393013, 119161.040199054827}, + {-209391.854738393013, -119161.040199054827}, + }; + + XY inv_in[] = { + { 200, 100}, + { 200,-100}, + {-200, 100}, + {-200,-100} + }; + + LP s_inv_expect[] = { + { 0.00191010555824111571, 0.000839185447792341723}, + { 0.00191010555824111571, -0.000839185447792341723}, + {-0.00191010555824111571, 0.000839185447792341723}, + {-0.00191010555824111571, -0.000839185447792341723}, + }; + + return pj_generic_selftest (0, s_args, tolerance_xy, tolerance_lp, 4, 4, fwd_in, 0, s_fwd_expect, inv_in, 0, s_inv_expect); +} + + +#endif |
