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| author | Frank Warmerdam <warmerdam@pobox.com> | 1999-03-18 16:34:52 +0000 |
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| committer | Frank Warmerdam <warmerdam@pobox.com> | 1999-03-18 16:34:52 +0000 |
| commit | 565a4bd035b9d4a83955808efef20f1d8dfa24cf (patch) | |
| tree | 75785fc897708023f1ccdaf40079afcbaaf0fd3a /src/PJ_lsat.c | |
| download | PROJ-565a4bd035b9d4a83955808efef20f1d8dfa24cf.tar.gz PROJ-565a4bd035b9d4a83955808efef20f1d8dfa24cf.zip | |
New
git-svn-id: http://svn.osgeo.org/metacrs/proj/trunk@776 4e78687f-474d-0410-85f9-8d5e500ac6b2
Diffstat (limited to 'src/PJ_lsat.c')
| -rw-r--r-- | src/PJ_lsat.c | 174 |
1 files changed, 174 insertions, 0 deletions
diff --git a/src/PJ_lsat.c b/src/PJ_lsat.c new file mode 100644 index 00000000..ddde1224 --- /dev/null +++ b/src/PJ_lsat.c @@ -0,0 +1,174 @@ +#ifndef lint +static const char SCCSID[]="@(#)PJ_lsat.c 4.1 94/02/15 GIE REL"; +#endif +/* based upon Snyder and Linck, USGS-NMD */ +#define PROJ_PARMS__ \ + double a2, a4, b, c1, c3; \ + double q, t, u, w, p22, sa, ca, xj, rlm, rlm2; +#define PJ_LIB__ +#include <projects.h> +PROJ_HEAD(lsat, "Space oblique for LANDSAT") + "\n\tCyl, Sph&Ell\n\tlsat= path="; +#define TOL 1e-7 +#define PI_HALFPI 4.71238898038468985766 +#define TWOPI_HALFPI 7.85398163397448309610 + static void +seraz0(double lam, double mult, PJ *P) { + double sdsq, h, s, fc, sd, sq, d__1; + + lam *= DEG_TO_RAD; + sd = sin(lam); + sdsq = sd * sd; + s = P->p22 * P->sa * cos(lam) * sqrt((1. + P->t * sdsq) / (( + 1. + P->w * sdsq) * (1. + P->q * sdsq))); + d__1 = 1. + P->q * sdsq; + h = sqrt((1. + P->q * sdsq) / (1. + P->w * sdsq)) * ((1. + + P->w * sdsq) / (d__1 * d__1) - P->p22 * P->ca); + sq = sqrt(P->xj * P->xj + s * s); + P->b += fc = mult * (h * P->xj - s * s) / sq; + P->a2 += fc * cos(lam + lam); + P->a4 += fc * cos(lam * 4.); + fc = mult * s * (h + P->xj) / sq; + P->c1 += fc * cos(lam); + P->c3 += fc * cos(lam * 3.); +} +FORWARD(e_forward); /* ellipsoid */ + int l, nn; + double lamt, xlam, sdsq, c, d, s, lamdp, phidp, lampp, tanph, + lamtp, cl, sd, sp, fac, sav, tanphi; + + if (lp.phi > HALFPI) + lp.phi = HALFPI; + else if (lp.phi < -HALFPI) + lp.phi = -HALFPI; + lampp = lp.phi >= 0. ? HALFPI : PI_HALFPI; + tanphi = tan(lp.phi); + for (nn = 0;;) { + sav = lampp; + lamtp = lp.lam + P->p22 * lampp; + cl = cos(lamtp); + if (fabs(cl) < TOL) + lamtp -= TOL; + fac = lampp - sin(lampp) * (cl < 0. ? -HALFPI : HALFPI); + for (l = 50; l; --l) { + lamt = lp.lam + P->p22 * sav; + if (fabs(c = cos(lamt)) < TOL) + lamt -= TOL; + xlam = (P->one_es * tanphi * P->sa + sin(lamt) * P->ca) / c; + lamdp = atan(xlam) + fac; + if (fabs(fabs(sav) - fabs(lamdp)) < TOL) + break; + sav = lamdp; + } + if (!l || ++nn >= 3 || (lamdp > P->rlm && lamdp < P->rlm2)) + break; + if (lamdp <= P->rlm) + lampp = TWOPI_HALFPI; + else if (lamdp >= P->rlm2) + lampp = HALFPI; + } + if (l) { + sp = sin(lp.phi); + phidp = aasin((P->one_es * P->ca * sp - P->sa * cos(lp.phi) * + sin(lamt)) / sqrt(1. - P->es * sp * sp)); + tanph = log(tan(FORTPI + .5 * phidp)); + sd = sin(lamdp); + sdsq = sd * sd; + s = P->p22 * P->sa * cos(lamdp) * sqrt((1. + P->t * sdsq) + / ((1. + P->w * sdsq) * (1. + P->q * sdsq))); + d = sqrt(P->xj * P->xj + s * s); + xy.x = P->b * lamdp + P->a2 * sin(2. * lamdp) + P->a4 * + sin(lamdp * 4.) - tanph * s / d; + xy.y = P->c1 * sd + P->c3 * sin(lamdp * 3.) + tanph * P->xj / d; + } else + xy.x = xy.y = HUGE_VAL; + return xy; +} +INVERSE(e_inverse); /* ellipsoid */ + int nn; + double lamt, sdsq, s, lamdp, phidp, sppsq, dd, sd, sl, fac, scl, sav, spp; + + lamdp = xy.x / P->b; + nn = 50; + do { + sav = lamdp; + sd = sin(lamdp); + sdsq = sd * sd; + s = P->p22 * P->sa * cos(lamdp) * sqrt((1. + P->t * sdsq) + / ((1. + P->w * sdsq) * (1. + P->q * sdsq))); + lamdp = xy.x + xy.y * s / P->xj - P->a2 * sin( + 2. * lamdp) - P->a4 * sin(lamdp * 4.) - s / P->xj * ( + P->c1 * sin(lamdp) + P->c3 * sin(lamdp * 3.)); + lamdp /= P->b; + } while (fabs(lamdp - sav) >= TOL && --nn); + sl = sin(lamdp); + fac = exp(sqrt(1. + s * s / P->xj / P->xj) * (xy.y - + P->c1 * sl - P->c3 * sin(lamdp * 3.))); + phidp = 2. * (atan(fac) - FORTPI); + dd = sl * sl; + if (fabs(cos(lamdp)) < TOL) + lamdp -= TOL; + spp = sin(phidp); + sppsq = spp * spp; + lamt = atan(((1. - sppsq * P->rone_es) * tan(lamdp) * + P->ca - spp * P->sa * sqrt((1. + P->q * dd) * ( + 1. - sppsq) - sppsq * P->u) / cos(lamdp)) / (1. - sppsq + * (1. + P->u))); + sl = lamt >= 0. ? 1. : -1.; + scl = cos(lamdp) >= 0. ? 1. : -1; + lamt -= HALFPI * (1. - scl) * sl; + lp.lam = lamt - P->p22 * lamdp; + if (fabs(P->sa) < TOL) + lp.phi = aasin(spp / sqrt(P->one_es * P->one_es + P->es * sppsq)); + else + lp.phi = atan((tan(lamdp) * cos(lamt) - P->ca * sin(lamt)) / + (P->one_es * P->sa)); + return lp; +} +FREEUP; if (P) pj_dalloc(P); } +ENTRY0(lsat) + int land, path; + double lam, alf, esc, ess; + + land = pj_param(P->params, "ilsat").i; + if (land <= 0 || land > 5) E_ERROR(-28); + path = pj_param(P->params, "ipath").i; + if (path <= 0 || path > (land <= 3 ? 251 : 233)) E_ERROR(-29); + if (land <= 3) { + P->lam0 = DEG_TO_RAD * 128.87 - TWOPI / 251. * path; + P->p22 = 103.2669323; + alf = DEG_TO_RAD * 99.092; + } else { + P->lam0 = DEG_TO_RAD * 129.3 - TWOPI / 233. * path; + P->p22 = 98.8841202; + alf = DEG_TO_RAD * 98.2; + } + P->p22 /= 1440.; + P->sa = sin(alf); + P->ca = cos(alf); + if (fabs(P->ca) < 1e-9) + P->ca = 1e-9; + esc = P->es * P->ca * P->ca; + ess = P->es * P->sa * P->sa; + P->w = (1. - esc) * P->rone_es; + P->w = P->w * P->w - 1.; + P->q = ess * P->rone_es; + P->t = ess * (2. - P->es) * P->rone_es * P->rone_es; + P->u = esc * P->rone_es; + P->xj = P->one_es * P->one_es * P->one_es; + P->rlm = PI * (1. / 248. + .5161290322580645); + P->rlm2 = P->rlm + TWOPI; + P->a2 = P->a4 = P->b = P->c1 = P->c3 = 0.; + seraz0(0., 1., P); + for (lam = 9.; lam <= 81.0001; lam += 18.) + seraz0(lam, 4., P); + for (lam = 18; lam <= 72.0001; lam += 18.) + seraz0(lam, 2., P); + seraz0(90., 1., P); + P->a2 /= 30.; + P->a4 /= 60.; + P->b /= 30.; + P->c1 /= 15.; + P->c3 /= 45.; + P->inv = e_inverse; P->fwd = e_forward; +ENDENTRY(P) |
