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/* ../src/gmf.f -- translated by f2c (version 20090411).
You must link the resulting object file with libf2c:
on Microsoft Windows system, link with libf2c.lib;
on Linux or Unix systems, link with .../path/to/libf2c.a -lm
or, if you install libf2c.a in a standard place, with -lf2c -lm
-- in that order, at the end of the command line, as in
cc *.o -lf2c -lm
Source for libf2c is in /netlib/f2c/libf2c.zip, e.g.,
http://www.netlib.org/f2c/libf2c.zip
*/
#include "f2c.h"
/* Table of constant values */
static integer c_n1 = -1;
static integer c__2 = 2;
/* Subroutine */ int gmf_(doublereal *dmjd, doublereal *dlat, doublereal *
dlon, doublereal *dhgt, doublereal *zd, doublereal *gmfh, doublereal *
gmfw)
{
/* Initialized data */
static doublereal ah_mean__[55] = { 125.17,.8503,.06936,-6.76,.1771,.0113,
.5963,.01808,.002801,-.001414,-1.212,.093,.003683,.001095,
4.671e-5,.3959,-.03867,.005413,-5.289e-4,3.229e-4,2.067e-5,.3,
.02031,.0059,4.573e-4,-7.619e-5,2.327e-6,3.845e-6,.1182,.01158,
.005445,6.219e-5,4.204e-6,-2.093e-6,1.54e-7,-4.28e-8,-.4751,
-.0349,.001758,4.019e-4,-2.799e-6,-1.287e-6,5.468e-7,7.58e-8,
-6.3e-9,-.116,.008301,8.771e-4,9.955e-5,-1.718e-6,-2.012e-6,
1.17e-8,1.79e-8,-1.3e-9,1e-10 };
static doublereal bh_mean__[55] = { 0.,0.,.03249,0.,.03324,.0185,0.,
-.1115,.02519,.004923,0.,.02737,.01595,-7.332e-4,1.933e-4,0.,
-.04796,.006381,-1.599e-4,-3.685e-4,1.815e-5,0.,.07033,.002426,
-.001111,-1.357e-4,-7.828e-6,2.547e-6,0.,.005779,.003133,
-5.312e-4,-2.028e-5,2.323e-7,-9.1e-8,-1.65e-8,0.,.03688,-8.638e-4,
-8.514e-5,-2.828e-5,5.403e-7,4.39e-7,1.35e-8,1.8e-9,0.,-.02736,
-2.977e-4,8.113e-5,2.329e-7,8.451e-7,4.49e-8,-8.1e-9,-1.5e-9,
2e-10 };
static doublereal ah_amp__[55] = { -.2738,-2.837,.01298,-.3588,.02413,
.03427,-.7624,.07272,.0216,-.003385,.4424,.03722,.02195,-.001503,
2.426e-4,.3013,.05762,.01019,-4.476e-4,6.79e-5,3.227e-5,.3123,
-.03535,.00484,3.025e-6,-4.363e-5,2.854e-7,-1.286e-6,-.6725,
-.0373,8.964e-4,1.399e-4,-3.99e-6,7.431e-6,-2.796e-7,-1.601e-7,
.04068,-.01352,7.282e-4,9.594e-5,2.07e-6,-9.62e-8,-2.742e-7,
-6.37e-8,-6.3e-9,.08625,-.005971,4.705e-4,2.335e-5,4.226e-6,
2.475e-7,-8.85e-8,-3.6e-8,-2.9e-9,0. };
static doublereal bh_amp__[55] = { 0.,0.,-.1136,0.,-.1868,-.01399,0.,
-.1043,.01175,-.00224,0.,-.03222,.01333,-.002647,-2.316e-5,0.,
.05339,.01107,-.003116,-1.079e-4,-1.299e-5,0.,.004861,.008891,
-6.448e-4,-1.279e-5,6.358e-6,-1.417e-7,0.,.03041,.00115,-8.743e-4,
-2.781e-5,6.367e-7,-1.14e-8,-4.2e-8,0.,-.02982,-.003,1.394e-5,
-3.29e-5,-1.705e-7,7.44e-8,2.72e-8,-6.6e-9,0.,.01236,-9.981e-4,
-3.792e-5,-1.355e-5,1.162e-6,-1.789e-7,1.47e-8,-2.4e-9,-4e-10 };
static doublereal aw_mean__[55] = { 56.4,1.555,-1.011,-3.975,.03171,.1065,
.6175,.1376,.04229,.003028,1.688,-.1692,.05478,.02473,6.059e-4,
2.278,.006614,-3.505e-4,-.006697,8.402e-4,7.033e-4,-3.236,.2184,
-.04611,-.01613,-.001604,5.42e-5,7.922e-5,-.2711,-.4406,-.03376,
-.002801,-4.09e-4,-2.056e-5,6.894e-6,2.317e-6,1.941,-.2562,.01598,
.005449,3.544e-4,1.148e-5,7.503e-6,-5.667e-7,-3.66e-8,.8683,
-.05931,-.001864,-1.277e-4,2.029e-4,1.269e-5,1.629e-6,9.66e-8,
-1.015e-7,-5e-10 };
static doublereal bw_mean__[55] = { 0.,0.,.2592,0.,.02974,-.5471,0.,
-.5926,-.103,-.01567,0.,.171,.09025,.02689,.002243,0.,.3439,
.02402,.00541,.001601,9.669e-5,0.,.09502,-.03063,-.001055,
-1.067e-4,-1.13e-4,2.124e-5,0.,-.3129,.008463,2.253e-4,7.413e-5,
-9.376e-5,-1.606e-6,2.06e-6,0.,.2739,.001167,-2.246e-5,-1.287e-4,
-2.438e-5,-7.561e-7,1.158e-6,4.95e-8,0.,-.1344,.005342,3.775e-4,
-6.756e-5,-1.686e-6,-1.184e-6,2.768e-7,2.73e-8,5.7e-9 };
static doublereal aw_amp__[55] = { .1023,-2.695,.3417,-.1405,.3175,.2116,
3.536,-.1505,-.0166,.02967,.3819,-.1695,-.07444,.007409,-.006262,
-1.836,-.01759,-.06256,-.002371,7.947e-4,1.501e-4,-.8603,-.136,
-.03629,-.003706,-2.976e-4,1.857e-5,3.021e-5,2.248,-.1178,.01255,
.001134,-2.161e-4,-5.817e-6,8.836e-7,-1.769e-7,.7313,-.1188,
.01145,.001011,1.083e-4,2.57e-6,-2.14e-6,-5.71e-8,2e-8,-1.632,
-.006948,-.003893,8.592e-4,7.577e-5,4.539e-6,-3.852e-7,-2.213e-7,
-1.37e-8,5.8e-9 };
static doublereal bw_amp__[55] = { 0.,0.,-.08865,0.,-.4309,.0634,0.,.1162,
.06176,-.004234,0.,.253,.04017,-.006204,.004977,0.,-.1737,
-.005638,1.488e-4,4.857e-4,-1.809e-4,0.,-.1514,-.01685,.005333,
-7.611e-5,2.394e-5,8.195e-6,0.,.09326,-.01275,-3.071e-4,5.374e-5,
-3.391e-5,-7.436e-6,6.747e-7,0.,-.08637,-.003807,-6.833e-4,
-3.861e-5,-2.268e-5,1.454e-6,3.86e-7,-1.068e-7,0.,-.02658,
-.001947,7.131e-4,-3.506e-5,1.885e-7,5.792e-7,3.99e-8,2e-8,
-5.7e-9 };
/* System generated locals */
integer i__1, i__2, i__3, i__4;
doublereal d__1, d__2;
/* Builtin functions */
double sin(doublereal);
integer pow_ii(integer *, integer *);
double pow_di(doublereal *, integer *), sqrt(doublereal), cos(doublereal);
/* Local variables */
static integer i__, j, k, m, n;
static doublereal p[100] /* was [10][10] */, t, ah, bh, ch, ap[55], bp[
55], aw, bw, cw;
static integer ir;
static doublereal c0h, aha, c10h, c11h, ahm, awa, phh, awm, doy, sum1,
dfac[20], beta, a_ht__, b_ht__, c_ht__, sine, ht_corr_coef__,
gamma, hs_km__, topcon, ht_corr__;
/* + */
/* - - - - - - - - - */
/* G M F */
/* - - - - - - - - - */
/* This routine is part of the International Earth Rotation and */
/* Reference Systems Service (IERS) Conventions software collection. */
/* This subroutine determines the Global Mapping Functions GMF (Boehm et al. 2006). */
/* In general, Class 1, 2, and 3 models represent physical effects that */
/* act on geodetic parameters while canonical models provide lower-level */
/* representations or basic computations that are used by Class 1, 2, or */
/* 3 models. */
/* Status: Class 1 model */
/* Class 1 models are those recommended to be used a priori in the */
/* reduction of raw space geodetic data in order to determine */
/* geodetic parameter estimates. */
/* Class 2 models are those that eliminate an observational */
/* singularity and are purely conventional in nature. */
/* Class 3 models are those that are not required as either Class */
/* 1 or 2. */
/* Canonical models are accepted as is and cannot be classified as a */
/* Class 1, 2, or 3 model. */
/* Given: */
/* DMJD d Modified Julian Date */
/* DLAT d Latitude given in radians (North Latitude) */
/* DLON d Longitude given in radians (East Longitude) */
/* DHGT d Height in meters (mean sea level) */
/* ZD d Zenith distance in radians */
/* Returned: */
/* GMFH d Hydrostatic mapping function (Note 1) */
/* GMFW d Wet mapping function (Note 1) */
/* Notes: */
/* 1) The mapping functions are dimensionless scale factors. */
/* 2) This is from a 9x9 Earth Gravitational Model (EGM). */
/* Test case: */
/* given input: DMJD = 55055D0 */
/* DLAT = 0.6708665767D0 radians (NRAO, Green Bank, WV) */
/* DLON = -1.393397187D0 radians */
/* DHGT = 844.715D0 meters */
/* ZD = 1.278564131D0 radians */
/* expected output: GMFH = 3.425245519339138678D0 */
/* GMFW = 3.449589116182419257D0 */
/* References: */
/* Boehm, J., Niell, A., Tregoning, P. and Schuh, H., (2006), */
/* "Global Mapping Functions (GMF): A new empirical mapping */
/* function based on numerical weather model data", */
/* Geophy. Res. Lett., Vol. 33, L07304, doi:10.1029/2005GL025545. */
/* Petit, G. and Luzum, B. (eds.), IERS Conventions (2010), */
/* IERS Technical Note No. 36, BKG (2010) */
/* Revisions: */
/* 2005 August 30 J. Boehm Original code */
/* 2009 August 11 B.E. Stetzler Added header and copyright */
/* 2009 August 12 B.E. Stetzler More modifications and defined twopi */
/* 2009 August 12 B.E. Stetzler Provided test case */
/* 2009 August 12 B.E. Stetzler Capitalized all variables for FORTRAN 77 */
/* compatibility and corrected test case */
/* latitude and longitude coordinates */
/* ----------------------------------------------------------------------- */
/* +--------------------------------------------------------------------- */
/* Reference day is 28 January 1980 */
/* This is taken from Niell (1996) to be consistent */
/* ---------------------------------------------------------------------- */
doy = *dmjd - 44239. - 27;
/* Define a parameter t */
t = sin(*dlat);
/* Define degree n and order m EGM */
n = 9;
m = 9;
/* Determine n! (factorial) moved by 1 */
dfac[0] = 1.;
i__1 = (n << 1) + 1;
for (i__ = 1; i__ <= i__1; ++i__) {
dfac[i__] = dfac[i__ - 1] * i__;
}
/* Determine Legendre functions (Heiskanen and Moritz, */
/* Physical Geodesy, 1967, eq. 1-62) */
i__1 = n;
for (i__ = 0; i__ <= i__1; ++i__) {
i__2 = min(i__,m);
for (j = 0; j <= i__2; ++j) {
ir = (i__ - j) / 2;
sum1 = 0.;
i__3 = ir;
for (k = 0; k <= i__3; ++k) {
i__4 = i__ - j - (k << 1);
sum1 += pow_ii(&c_n1, &k) * dfac[(i__ << 1) - (k << 1)] /
dfac[k] / dfac[i__ - k] / dfac[i__ - j - (k << 1)] *
pow_di(&t, &i__4);
}
/* Legendre functions moved by 1 */
/* Computing 2nd power */
d__2 = t;
d__1 = 1 - d__2 * d__2;
p[i__ + 1 + (j + 1) * 10 - 11] = 1. / pow_ii(&c__2, &i__) * sqrt(
pow_di(&d__1, &j)) * sum1;
}
}
/* Calculate spherical harmonics */
i__ = 0;
for (n = 0; n <= 9; ++n) {
i__1 = n;
for (m = 0; m <= i__1; ++m) {
++i__;
ap[i__ - 1] = p[n + 1 + (m + 1) * 10 - 11] * cos(m * *dlon);
bp[i__ - 1] = p[n + 1 + (m + 1) * 10 - 11] * sin(m * *dlon);
}
}
/* Compute hydrostatic mapping function */
bh = .0029;
c0h = .062;
if (*dlat < 0.) {
/* SOUTHERN HEMISPHERE */
phh = 3.1415926535897932384626433;
c11h = .007;
c10h = .002;
} else {
/* NORTHERN HEMISPHERE */
phh = 0.;
c11h = .005;
c10h = .001;
}
ch = c0h + ((cos(doy / 365.25 * 6.283185307179586476925287 + phh) + 1.) *
c11h / 2. + c10h) * (1. - cos(*dlat));
ahm = 0.;
aha = 0.;
for (i__ = 1; i__ <= 55; ++i__) {
ahm += (ah_mean__[i__ - 1] * ap[i__ - 1] + bh_mean__[i__ - 1] * bp[
i__ - 1]) * 1e-5;
aha += (ah_amp__[i__ - 1] * ap[i__ - 1] + bh_amp__[i__ - 1] * bp[i__
- 1]) * 1e-5;
}
ah = ahm + aha * cos(doy / 365.25 * 6.283185307179586476925287);
sine = sin(1.5707963267948966 - *zd);
beta = bh / (sine + ch);
gamma = ah / (sine + beta);
topcon = ah / (bh / (ch + 1.) + 1.) + 1.;
*gmfh = topcon / (sine + gamma);
/* Height correction for hydrostatic mapping function from Niell (1996) */
a_ht__ = 2.53e-5;
b_ht__ = .00549;
c_ht__ = .00114;
hs_km__ = *dhgt / 1e3;
beta = b_ht__ / (sine + c_ht__);
gamma = a_ht__ / (sine + beta);
topcon = a_ht__ / (b_ht__ / (c_ht__ + 1.) + 1.) + 1.;
ht_corr_coef__ = 1. / sine - topcon / (sine + gamma);
ht_corr__ = ht_corr_coef__ * hs_km__;
*gmfh += ht_corr__;
/* Compute wet mapping function */
bw = .00146;
cw = .04391;
awm = 0.;
awa = 0.;
for (i__ = 1; i__ <= 55; ++i__) {
awm += (aw_mean__[i__ - 1] * ap[i__ - 1] + bw_mean__[i__ - 1] * bp[
i__ - 1]) * 1e-5;
awa += (aw_amp__[i__ - 1] * ap[i__ - 1] + bw_amp__[i__ - 1] * bp[i__
- 1]) * 1e-5;
}
aw = awm + awa * cos(doy / 365.25 * 6.283185307179586476925287);
beta = bw / (sine + cw);
gamma = aw / (sine + beta);
topcon = aw / (bw / (cw + 1.) + 1.) + 1.;
*gmfw = topcon / (sine + gamma);
/* Finished. */
/* +---------------------------------------------------------------------- */
/* Copyright (C) 2008 */
/* IERS Conventions Center */
/* ================================== */
/* IERS Conventions Software License */
/* ================================== */
/* NOTICE TO USER: */
/* BY USING THIS SOFTWARE YOU ACCEPT THE FOLLOWING TERMS AND CONDITIONS */
/* WHICH APPLY TO ITS USE. */
/* 1. The Software is provided by the IERS Conventions Center ("the */
/* Center"). */
/* 2. Permission is granted to anyone to use the Software for any */
/* purpose, including commercial applications, free of charge, */
/* subject to the conditions and restrictions listed below. */
/* 3. You (the user) may adapt the Software and its algorithms for your */
/* own purposes and you may distribute the resulting "derived work" */
/* to others, provided that the derived work complies with the */
/* following requirements: */
/* a) Your work shall be clearly identified so that it cannot be */
/* mistaken for IERS Conventions software and that it has been */
/* neither distributed by nor endorsed by the Center. */
/* b) Your work (including source code) must contain descriptions of */
/* how the derived work is based upon and/or differs from the */
/* original Software. */
/* c) The name(s) of all modified routine(s) that you distribute */
/* shall be changed. */
/* d) The origin of the IERS Conventions components of your derived */
/* work must not be misrepresented; you must not claim that you */
/* wrote the original Software. */
/* e) The source code must be included for all routine(s) that you */
/* distribute. This notice must be reproduced intact in any */
/* source distribution. */
/* 4. In any published work produced by the user and which includes */
/* results achieved by using the Software, you shall acknowledge */
/* that the Software was used in obtaining those results. */
/* 5. The Software is provided to the user "as is" and the Center makes */
/* no warranty as to its use or performance. The Center does not */
/* and cannot warrant the performance or results which the user may */
/* obtain by using the Software. The Center makes no warranties, */
/* express or implied, as to non-infringement of third party rights, */
/* merchantability, or fitness for any particular purpose. In no */
/* event will the Center be liable to the user for any consequential, */
/* incidental, or special damages, including any lost profits or lost */
/* savings, even if a Center representative has been advised of such */
/* damages, or for any claim by any third party. */
/* Correspondence concerning IERS Conventions software should be */
/* addressed as follows: */
/* Gerard Petit */
/* Internet email: gpetit[at]bipm.org */
/* Postal address: IERS Conventions Center */
/* Time, frequency and gravimetry section, BIPM */
/* Pavillon de Breteuil */
/* 92312 Sevres FRANCE */
/* or */
/* Brian Luzum */
/* Internet email: brian.luzum[at]usno.navy.mil */
/* Postal address: IERS Conventions Center */
/* Earth Orientation Department */
/* 3450 Massachusetts Ave, NW */
/* Washington, DC 20392 */
/* ----------------------------------------------------------------------- */
return 0;
} /* gmf_ */
|
