diff options
Diffstat (limited to 'src/projections/mbt_fps.cpp')
| -rw-r--r-- | src/projections/mbt_fps.cpp | 57 |
1 files changed, 57 insertions, 0 deletions
diff --git a/src/projections/mbt_fps.cpp b/src/projections/mbt_fps.cpp new file mode 100644 index 00000000..66ed9458 --- /dev/null +++ b/src/projections/mbt_fps.cpp @@ -0,0 +1,57 @@ +#define PJ_LIB__ + +#include <math.h> + +#include "projects.h" + +PROJ_HEAD(mbt_fps, "McBryde-Thomas Flat-Pole Sine (No. 2)") "\n\tCyl, Sph"; + +#define MAX_ITER 10 +#define LOOP_TOL 1e-7 +#define C1 0.45503 +#define C2 1.36509 +#define C3 1.41546 +#define C_x 0.22248 +#define C_y 1.44492 +#define C1_2 0.33333333333333333333333333 + +static XY s_forward (LP lp, PJ *P) { /* Spheroidal, forward */ + XY xy = {0.0,0.0}; + double k, V, t; + int i; + (void) P; + + k = C3 * sin(lp.phi); + for (i = MAX_ITER; i ; --i) { + t = lp.phi / C2; + lp.phi -= V = (C1 * sin(t) + sin(lp.phi) - k) / + (C1_2 * cos(t) + cos(lp.phi)); + if (fabs(V) < LOOP_TOL) + break; + } + t = lp.phi / C2; + xy.x = C_x * lp.lam * (1. + 3. * cos(lp.phi)/cos(t) ); + xy.y = C_y * sin(t); + return xy; +} + + +static LP s_inverse (XY xy, PJ *P) { /* Spheroidal, inverse */ + LP lp = {0.0,0.0}; + double t; + + lp.phi = C2 * (t = aasin(P->ctx,xy.y / C_y)); + lp.lam = xy.x / (C_x * (1. + 3. * cos(lp.phi)/cos(t))); + lp.phi = aasin(P->ctx,(C1 * sin(t) + sin(lp.phi)) / C3); + return (lp); +} + + +PJ *PROJECTION(mbt_fps) { + + P->es = 0; + P->inv = s_inverse; + P->fwd = s_forward; + + return P; +} |
