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| author | Thomas Knudsen <lastname DOT firstname AT gmail DOT com> | 2016-04-12 21:55:29 +0200 |
|---|---|---|
| committer | Thomas Knudsen <lastname DOT firstname AT gmail DOT com> | 2016-04-12 21:55:29 +0200 |
| commit | c8f040f1d6b52f89825c9a1060545a97bf799487 (patch) | |
| tree | 65cc06d0ba2bed9f84d3c5f676182ced243cbdf9 /src/PJ_tpeqd.c | |
| parent | 86a3221bdc26ea2cdbe85fcf270263ce02fef0e6 (diff) | |
| download | PROJ-c8f040f1d6b52f89825c9a1060545a97bf799487.tar.gz PROJ-c8f040f1d6b52f89825c9a1060545a97bf799487.zip | |
refactoring + added selftest for 7 more projections
tcc, tcea, tmerc, tpeqd, urm5, urmfps, wag1
Diffstat (limited to 'src/PJ_tpeqd.c')
| -rw-r--r-- | src/PJ_tpeqd.c | 193 |
1 files changed, 147 insertions, 46 deletions
diff --git a/src/PJ_tpeqd.c b/src/PJ_tpeqd.c index 4ab5cf4e..182f23a5 100644 --- a/src/PJ_tpeqd.c +++ b/src/PJ_tpeqd.c @@ -1,76 +1,177 @@ -#define PROJ_PARMS__ \ - double cp1, sp1, cp2, sp2, ccs, cs, sc, r2z0, z02, dlam2; \ - double hz0, thz0, rhshz0, ca, sa, lp, lamc; #define PJ_LIB__ #include <projects.h> + + PROJ_HEAD(tpeqd, "Two Point Equidistant") "\n\tMisc Sph\n\tlat_1= lon_1= lat_2= lon_2="; -FORWARD(s_forward); /* sphere */ + +struct pj_opaque { + double cp1, sp1, cp2, sp2, ccs, cs, sc, r2z0, z02, dlam2; \ + double hz0, thz0, rhshz0, ca, sa, lp, lamc; +}; + + +static XY s_forward (LP lp, PJ *P) { /* Spheroidal, forward */ + XY xy = {0.0, 0.0}; + struct pj_opaque *Q = P->opaque; double t, z1, z2, dl1, dl2, sp, cp; sp = sin(lp.phi); cp = cos(lp.phi); - z1 = aacos(P->ctx,P->sp1 * sp + P->cp1 * cp * cos(dl1 = lp.lam + P->dlam2)); - z2 = aacos(P->ctx,P->sp2 * sp + P->cp2 * cp * cos(dl2 = lp.lam - P->dlam2)); + z1 = aacos(P->ctx, Q->sp1 * sp + Q->cp1 * cp * cos (dl1 = lp.lam + Q->dlam2)); + z2 = aacos(P->ctx, Q->sp2 * sp + Q->cp2 * cp * cos (dl2 = lp.lam - Q->dlam2)); z1 *= z1; z2 *= z2; - xy.x = P->r2z0 * (t = z1 - z2); - t = P->z02 - t; - xy.y = P->r2z0 * asqrt(4. * P->z02 * z2 - t * t); - if ((P->ccs * sp - cp * (P->cs * sin(dl1) - P->sc * sin(dl2))) < 0.) + + xy.x = Q->r2z0 * (t = z1 - z2); + t = Q->z02 - t; + xy.y = Q->r2z0 * asqrt (4. * Q->z02 * z2 - t * t); + if ((Q->ccs * sp - cp * (Q->cs * sin(dl1) - Q->sc * sin(dl2))) < 0.) xy.y = -xy.y; return xy; } -INVERSE(s_inverse); /* sphere */ + + +static LP s_inverse (XY xy, PJ *P) { /* Spheroidal, inverse */ + LP lp = {0.0,0.0}; + struct pj_opaque *Q = P->opaque; double cz1, cz2, s, d, cp, sp; - cz1 = cos(hypot(xy.y, xy.x + P->hz0)); - cz2 = cos(hypot(xy.y, xy.x - P->hz0)); + cz1 = cos (hypot(xy.y, xy.x + Q->hz0)); + cz2 = cos (hypot(xy.y, xy.x - Q->hz0)); s = cz1 + cz2; d = cz1 - cz2; - lp.lam = - atan2(d, (s * P->thz0)); - lp.phi = aacos(P->ctx,hypot(P->thz0 * s, d) * P->rhshz0); + lp.lam = - atan2(d, (s * Q->thz0)); + lp.phi = aacos(P->ctx, hypot (Q->thz0 * s, d) * Q->rhshz0); if ( xy.y < 0. ) lp.phi = - lp.phi; /* lam--phi now in system relative to P1--P2 base equator */ - sp = sin(lp.phi); - cp = cos(lp.phi); - lp.phi = aasin(P->ctx,P->sa * sp + P->ca * cp * (s = cos(lp.lam -= P->lp))); - lp.lam = atan2(cp * sin(lp.lam), P->sa * cp * s - P->ca * sp) + P->lamc; + sp = sin (lp.phi); + cp = cos (lp.phi); + lp.phi = aasin (P->ctx, Q->sa * sp + Q->ca * cp * (s = cos(lp.lam -= Q->lp))); + lp.lam = atan2 (cp * sin(lp.lam), Q->sa * cp * s - Q->ca * sp) + Q->lamc; return lp; } -FREEUP; if (P) pj_dalloc(P); } -ENTRY0(tpeqd) + + +static void *freeup_new (PJ *P) { /* Destructor */ + if (0==P) + return 0; + if (0==P->opaque) + return pj_dealloc (P); + pj_dealloc (P->opaque); + return pj_dealloc(P); +} + +static void freeup (PJ *P) { + freeup_new (P); + return; +} + + +PJ *PROJECTION(tpeqd) { double lam_1, lam_2, phi_1, phi_2, A12, pp; + struct pj_opaque *Q = pj_calloc (1, sizeof (struct pj_opaque)); + if (0==Q) + return freeup_new (P); + P->opaque = Q; + /* get control point locations */ phi_1 = pj_param(P->ctx, P->params, "rlat_1").f; lam_1 = pj_param(P->ctx, P->params, "rlon_1").f; phi_2 = pj_param(P->ctx, P->params, "rlat_2").f; lam_2 = pj_param(P->ctx, P->params, "rlon_2").f; - if (phi_1 == phi_2 && lam_1 == lam_2) E_ERROR(-25); - P->lam0 = adjlon(0.5 * (lam_1 + lam_2)); - P->dlam2 = adjlon(lam_2 - lam_1); - P->cp1 = cos(phi_1); - P->cp2 = cos(phi_2); - P->sp1 = sin(phi_1); - P->sp2 = sin(phi_2); - P->cs = P->cp1 * P->sp2; - P->sc = P->sp1 * P->cp2; - P->ccs = P->cp1 * P->cp2 * sin(P->dlam2); - P->z02 = aacos(P->ctx,P->sp1 * P->sp2 + P->cp1 * P->cp2 * cos(P->dlam2)); - P->hz0 = .5 * P->z02; - A12 = atan2(P->cp2 * sin(P->dlam2), - P->cp1 * P->sp2 - P->sp1 * P->cp2 * cos(P->dlam2)); - P->ca = cos(pp = aasin(P->ctx,P->cp1 * sin(A12))); - P->sa = sin(pp); - P->lp = adjlon(atan2(P->cp1 * cos(A12), P->sp1) - P->hz0); - P->dlam2 *= .5; - P->lamc = HALFPI - atan2(sin(A12) * P->sp1, cos(A12)) - P->dlam2; - P->thz0 = tan(P->hz0); - P->rhshz0 = .5 / sin(P->hz0); - P->r2z0 = 0.5 / P->z02; - P->z02 *= P->z02; - P->inv = s_inverse; P->fwd = s_forward; + + if (phi_1 == phi_2 && lam_1 == lam_2) + E_ERROR(-25); + P->lam0 = adjlon (0.5 * (lam_1 + lam_2)); + Q->dlam2 = adjlon (lam_2 - lam_1); + + Q->cp1 = cos (phi_1); + Q->cp2 = cos (phi_2); + Q->sp1 = sin (phi_1); + Q->sp2 = sin (phi_2); + Q->cs = Q->cp1 * Q->sp2; + Q->sc = Q->sp1 * Q->cp2; + Q->ccs = Q->cp1 * Q->cp2 * sin(Q->dlam2); + Q->z02 = aacos(P->ctx, Q->sp1 * Q->sp2 + Q->cp1 * Q->cp2 * cos (Q->dlam2)); + Q->hz0 = .5 * Q->z02; + A12 = atan2(Q->cp2 * sin (Q->dlam2), + Q->cp1 * Q->sp2 - Q->sp1 * Q->cp2 * cos (Q->dlam2)); + Q->ca = cos(pp = aasin(P->ctx, Q->cp1 * sin(A12))); + Q->sa = sin(pp); + Q->lp = adjlon ( atan2 (Q->cp1 * cos(A12), Q->sp1) - Q->hz0); + Q->dlam2 *= .5; + Q->lamc = HALFPI - atan2(sin(A12) * Q->sp1, cos(A12)) - Q->dlam2; + Q->thz0 = tan (Q->hz0); + Q->rhshz0 = .5 / sin (Q->hz0); + Q->r2z0 = 0.5 / Q->z02; + Q->z02 *= Q->z02; + + P->inv = s_inverse; + P->fwd = s_forward; P->es = 0.; -ENDENTRY(P) + + return P; +} + + +#ifdef PJ_OMIT_SELFTEST +int pj_tpeqd_selftest (void) {return 0;} +#else + +int pj_tpeqd_selftest (void) { + double tolerance_lp = 1e-10; + double tolerance_xy = 1e-7; + + char e_args[] = {"+proj=tpeqd +ellps=GRS80 +lat_1=0.5 +lat_2=2 +n=0.5"}; + char s_args[] = {"+proj=tpeqd +a=6400000 +lat_1=0.5 +lat_2=2 +n=0.5"}; + + LP fwd_in[] = { + { 2, 1}, + { 2,-1}, + {-2, 1}, + {-2,-1} + }; + + XY e_fwd_expect[] = { + {-27750.758831679042, -222599.40369177726}, + {-250434.93702403645, -222655.93819326628}, + {-27750.758831679042, 222599.40369177726}, + {-250434.93702403645, 222655.93819326628}, + }; + + XY s_fwd_expect[] = { + {-27845.882978485075, -223362.43069526015}, + {-251293.37876465076, -223419.15898590829}, + {-27845.882978485075, 223362.43069526015}, + {-251293.37876465076, 223419.15898590829}, + }; + + XY inv_in[] = { + { 200, 100}, + { 200,-100}, + {-200, 100}, + {-200,-100} + }; + + LP e_inv_expect[] = { + {-0.00089855554821257374, 1.2517966304145272}, + {0.0008985555481998515, 1.2517966304145272}, + {-0.00089855431859741167, 1.2482033692781642}, + {0.00089855431859741167, 1.2482033692781642}, + }; + + LP s_inv_expect[] = { + {-0.00089548606640108474, 1.2517904929571837}, + {0.0008954860663883625, 1.2517904929571837}, + {-0.000895484845182587, 1.248209506737604}, + {0.00089548484516986475, 1.248209506737604}, + }; + + return pj_generic_selftest (e_args, s_args, tolerance_xy, tolerance_lp, 4, 4, fwd_in, e_fwd_expect, s_fwd_expect, inv_in, e_inv_expect, s_inv_expect); +} + + +#endif |
