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/* ../src/step2lon.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 doublereal c_b2 = 360.;
/* Subroutine */ int step2lon_(doublereal *xsta, doublereal *t, doublereal *
xcorsta)
{
/* Initialized data */
static doublereal datdi[45] /* was [9][5] */ = { 0.,0.,0.,1.,0.,.47,.23,
.16,.07,0.,2.,0.,0.,0.,-.2,-.12,-.11,-.05,1.,0.,-1.,0.,0.,-.11,
-.08,-.09,-.04,2.,0.,0.,0.,0.,-.13,-.11,-.15,-.07,2.,0.,0.,1.,0.,
-.05,-.05,-.06,-.03 };
/* System generated locals */
doublereal d__1, d__2, d__3;
/* Builtin functions */
double sqrt(doublereal), d_mod(doublereal *, doublereal *), cos(
doublereal), sin(doublereal);
/* Local variables */
static doublereal h__;
static integer i__, j;
static doublereal p, s, de, dn, dr, pr, ps, zns, rsta, cosla, sinla,
thetaf, cosphi, dn_tot__, sinphi, dr_tot__, deg2rad;
/* + */
/* - - - - - - - - - - - */
/* S T E P 2 L O N */
/* - - - - - - - - - - - */
/* This routine is part of the International Earth Rotation and */
/* Reference Systems Service (IERS) Conventions software collection. */
/* This subroutine gives the in-phase and out-of-phase corrections */
/* induced by mantle anelasticity in the long period band. */
/* 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 */
/* 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: */
/* XSTA d(3) Geocentric position of the IGS station (Note 1) */
/* T d Centuries since J2000 */
/* Returned: */
/* XCORSTA d(3) In phase and out of phase station corrections */
/* for diurnal band (Note 2) */
/* Notes: */
/* 1) The IGS station is in ITRF co-rotating frame. All coordinates are */
/* expressed in meters. */
/* 2) All coordinates are expressed in meters. */
/* Test case: */
/* given input: XSTA(1) = 4075578.385D0 meters */
/* XSTA(2) = 931852.890D0 meters */
/* XSTA(3) = 4801570.154D0 meters */
/* T = 0.1059411362080767D0 Julian centuries */
/* expected output: XCORSTA(1) = -0.9780962849562107762D-04 meters */
/* XCORSTA(2) = -0.2236349699932734273D-04 meters */
/* XCORSTA(3) = 0.3561945821351565926D-03 meters */
/* References: */
/* Mathews, P. M., Dehant, V., and Gipson, J. M., 1997, ''Tidal station */
/* displacements," J. Geophys. Res., 102(B9), pp. 20,469-20,477 */
/* Petit, G. and Luzum, B. (eds.), IERS Conventions (2010), */
/* IERS Technical Note No. 36, BKG (2010) */
/* Revisions: */
/* 1996 March 23 V. Dehant Original code */
/* 2009 August 07 B.E. Stetzler Initial standardization of code */
/* and found unnecessary variables tau */
/* and fhr */
/* 2009 August 07 B.E. Stetzler Provided a test case */
/* 2009 August 07 B.E. Stetzler Capitalized all variables for */
/* Fortran 77 compatibility */
/* 2010 October 20 B.E. Stetzler Input T corrected to be number of */
/* centuries since J2000 */
/* ----------------------------------------------------------------------- */
/* Parameter adjustments */
--xcorsta;
--xsta;
/* Function Body */
deg2rad = .017453292519943295;
/* Compute the phase angles in degrees. */
s = ((*t * 1.85139e-6 - .0014663889) * *t + 481267.88194) * *t +
218.31664563;
pr = (((*t * 7e-9 + 2.1e-8) * *t + 3.08889e-4) * *t + 1.396971278) * *t;
s += pr;
h__ = (((*t * -6.54e-9 + 2e-8) * *t + 3.0322222e-4) * *t + 36000.7697489)
* *t + 280.46645;
p = (((*t * 5.263e-8 - 1.24991e-5) * *t - .01032172222) * *t +
4069.01363525) * *t + 83.35324312;
zns = (((*t * 1.65e-8 - 2.13944e-6) * *t - .00207561111) * *t +
1934.13626197) * *t + 234.95544499;
ps = (((*t * -3.34e-9 - 1.778e-8) * *t + 4.5688889e-4) * *t +
1.71945766667) * *t + 282.93734098;
/* Computing 2nd power */
d__1 = xsta[1];
/* Computing 2nd power */
d__2 = xsta[2];
/* Computing 2nd power */
d__3 = xsta[3];
rsta = sqrt(d__1 * d__1 + d__2 * d__2 + d__3 * d__3);
sinphi = xsta[3] / rsta;
/* Computing 2nd power */
d__1 = xsta[1];
/* Computing 2nd power */
d__2 = xsta[2];
cosphi = sqrt(d__1 * d__1 + d__2 * d__2) / rsta;
cosla = xsta[1] / cosphi / rsta;
sinla = xsta[2] / cosphi / rsta;
/* Reduce angles to between the range 0 and 360. */
s = d_mod(&s, &c_b2);
/* TAU = DMOD(TAU,360D0) */
h__ = d_mod(&h__, &c_b2);
p = d_mod(&p, &c_b2);
zns = d_mod(&zns, &c_b2);
ps = d_mod(&ps, &c_b2);
dr_tot__ = 0.;
dn_tot__ = 0.;
for (i__ = 1; i__ <= 3; ++i__) {
xcorsta[i__] = 0.;
/* L99: */
}
for (j = 1; j <= 5; ++j) {
thetaf = (datdi[j * 9 - 9] * s + datdi[j * 9 - 8] * h__ + datdi[j * 9
- 7] * p + datdi[j * 9 - 6] * zns + datdi[j * 9 - 5] * ps) *
deg2rad;
/* Computing 2nd power */
d__1 = sinphi;
/* Computing 2nd power */
d__2 = sinphi;
dr = datdi[j * 9 - 4] * (d__1 * d__1 * 3. - 1.) / 2. * cos(thetaf) +
datdi[j * 9 - 2] * (d__2 * d__2 * 3. - 1.) / 2. * sin(thetaf);
dn = datdi[j * 9 - 3] * (cosphi * sinphi * 2.) * cos(thetaf) + datdi[
j * 9 - 1] * (cosphi * sinphi * 2.) * sin(thetaf);
de = 0.;
dr_tot__ += dr;
dn_tot__ += dn;
xcorsta[1] = xcorsta[1] + dr * cosla * cosphi - de * sinla - dn *
sinphi * cosla;
xcorsta[2] = xcorsta[2] + dr * sinla * cosphi + de * cosla - dn *
sinphi * sinla;
xcorsta[3] = xcorsta[3] + dr * sinphi + dn * cosphi;
/* L98: */
}
for (i__ = 1; i__ <= 3; ++i__) {
xcorsta[i__] /= 1e3;
/* L97: */
}
return 0;
/* 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 */
/* ----------------------------------------------------------------------- */
} /* step2lon_ */
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