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| author | Even Rouault <even.rouault@spatialys.com> | 2018-12-19 13:00:37 +0100 |
|---|---|---|
| committer | Even Rouault <even.rouault@spatialys.com> | 2018-12-26 10:08:55 +0100 |
| commit | df574ae332d57f556fd56314883b3354cab1d0ff (patch) | |
| tree | 63a68d40d7ed7932d6329d9c7baa340bb6294f7f /src/projections/vandg.cpp | |
| parent | e6de172371ea203f6393d745641d66c82b5b13e2 (diff) | |
| download | PROJ-df574ae332d57f556fd56314883b3354cab1d0ff.tar.gz PROJ-df574ae332d57f556fd56314883b3354cab1d0ff.zip | |
cpp conversion: remove useless pj_, PJ_ and proj_ filename prefixes
Diffstat (limited to 'src/projections/vandg.cpp')
| -rw-r--r-- | src/projections/vandg.cpp | 106 |
1 files changed, 106 insertions, 0 deletions
diff --git a/src/projections/vandg.cpp b/src/projections/vandg.cpp new file mode 100644 index 00000000..d148e210 --- /dev/null +++ b/src/projections/vandg.cpp @@ -0,0 +1,106 @@ +#define PJ_LIB__ +#include "proj.h" +#include "projects.h" + +PROJ_HEAD(vandg, "van der Grinten (I)") "\n\tMisc Sph"; + +# define TOL 1.e-10 +# define THIRD .33333333333333333333 +# define C2_27 .07407407407407407407 +# define PI4_3 4.18879020478639098458 +# define PISQ 9.86960440108935861869 +# define TPISQ 19.73920880217871723738 +# define HPISQ 4.93480220054467930934 + + +static XY s_forward (LP lp, PJ *P) { /* Spheroidal, forward */ + XY xy = {0.0,0.0}; + double al, al2, g, g2, p2; + + p2 = fabs(lp.phi / M_HALFPI); + if ((p2 - TOL) > 1.) { + proj_errno_set(P, PJD_ERR_TOLERANCE_CONDITION); + return xy; + } + if (p2 > 1.) + p2 = 1.; + if (fabs(lp.phi) <= TOL) { + xy.x = lp.lam; + xy.y = 0.; + } else if (fabs(lp.lam) <= TOL || fabs(p2 - 1.) < TOL) { + xy.x = 0.; + xy.y = M_PI * tan(.5 * asin(p2)); + if (lp.phi < 0.) xy.y = -xy.y; + } else { + al = .5 * fabs(M_PI / lp.lam - lp.lam / M_PI); + al2 = al * al; + g = sqrt(1. - p2 * p2); + g = g / (p2 + g - 1.); + g2 = g * g; + p2 = g * (2. / p2 - 1.); + p2 = p2 * p2; + xy.x = g - p2; g = p2 + al2; + xy.x = M_PI * (al * xy.x + sqrt(al2 * xy.x * xy.x - g * (g2 - p2))) / g; + if (lp.lam < 0.) xy.x = -xy.x; + xy.y = fabs(xy.x / M_PI); + xy.y = 1. - xy.y * (xy.y + 2. * al); + if (xy.y < -TOL) { + proj_errno_set(P, PJD_ERR_TOLERANCE_CONDITION); + return xy; + } + if (xy.y < 0.) + xy.y = 0.; + else + xy.y = sqrt(xy.y) * (lp.phi < 0. ? -M_PI : M_PI); + } + + return xy; +} + + +static LP s_inverse (XY xy, PJ *P) { /* Spheroidal, inverse */ + LP lp = {0.0,0.0}; + double t, c0, c1, c2, c3, al, r2, r, m, d, ay, x2, y2; + + x2 = xy.x * xy.x; + if ((ay = fabs(xy.y)) < TOL) { + lp.phi = 0.; + t = x2 * x2 + TPISQ * (x2 + HPISQ); + lp.lam = fabs(xy.x) <= TOL ? 0. : + .5 * (x2 - PISQ + sqrt(t)) / xy.x; + return (lp); + } + y2 = xy.y * xy.y; + r = x2 + y2; r2 = r * r; + c1 = - M_PI * ay * (r + PISQ); + c3 = r2 + M_TWOPI * (ay * r + M_PI * (y2 + M_PI * (ay + M_HALFPI))); + c2 = c1 + PISQ * (r - 3. * y2); + c0 = M_PI * ay; + c2 /= c3; + al = c1 / c3 - THIRD * c2 * c2; + m = 2. * sqrt(-THIRD * al); + d = C2_27 * c2 * c2 * c2 + (c0 * c0 - THIRD * c2 * c1) / c3; + if (((t = fabs(d = 3. * d / (al * m))) - TOL) <= 1.) { + d = t > 1. ? (d > 0. ? 0. : M_PI) : acos(d); + lp.phi = M_PI * (m * cos(d * THIRD + PI4_3) - THIRD * c2); + if (xy.y < 0.) lp.phi = -lp.phi; + t = r2 + TPISQ * (x2 - y2 + HPISQ); + lp.lam = fabs(xy.x) <= TOL ? 0. : + .5 * (r - PISQ + (t <= 0. ? 0. : sqrt(t))) / xy.x; + } else { + proj_errno_set(P, PJD_ERR_TOLERANCE_CONDITION); + return lp; + } + + return lp; +} + + +PJ *PROJECTION(vandg) { + P->es = 0.; + P->inv = s_inverse; + P->fwd = s_forward; + + return P; +} + |
