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/*============================================================================
WCSLIB 4.8 - an implementation of the FITS WCS standard.
Copyright (C) 1995-2011, Mark Calabretta
This file is part of WCSLIB.
WCSLIB is free software: you can redistribute it and/or modify it under the
terms of the GNU Lesser General Public License as published by the Free
Software Foundation, either version 3 of the License, or (at your option)
any later version.
WCSLIB is distributed in the hope that it will be useful, but WITHOUT ANY
WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS
FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for
more details.
You should have received a copy of the GNU Lesser General Public License
along with WCSLIB. If not, see <http://www.gnu.org/licenses/>.
Correspondence concerning WCSLIB may be directed to:
Internet email: mcalabre@atnf.csiro.au
Postal address: Dr. Mark Calabretta
Australia Telescope National Facility, CSIRO
PO Box 76
Epping NSW 1710
AUSTRALIA
Author: Mark Calabretta, Australia Telescope National Facility
http://www.atnf.csiro.au/~mcalabre/index.html
$Id: tsph.c,v 4.8.1.1 2011/08/15 08:07:06 cal103 Exp cal103 $
*=============================================================================
*
* tsph tests the spherical coordinate transformation routines for closure.
*
*---------------------------------------------------------------------------*/
#include <math.h>
#include <stdlib.h>
#include <stdio.h>
#include <sph.h>
#include <wcstrig.h>
int main()
{
int j, lat, lng, nFail = 0;
double coslat, dlat, dlatmx, dlng, dlngmx, lng1[361], lng2[361], eul[5],
lat1, lat2[361], phi[361], theta[361], zeta;
const double tol = 1.0e-12;
printf(
"Testing closure of WCSLIB coordinate transformation routines (tsph.c)\n"
"---------------------------------------------------------------------\n");
/* Set reference angles. */
eul[0] = 90.0;
eul[1] = 30.0;
eul[2] = -90.0;
printf("\n%s\n%s%10.4f%10.4f%10.4f\n",
"Celestial longitude and latitude of the native pole, and native",
"longitude of the celestial pole (degrees):", eul[0], eul[1], eul[2]);
eul[3] = cosd(eul[1]);
eul[4] = sind(eul[1]);
printf ("Reporting tolerance:%8.1e degrees of arc.\n", tol);
dlngmx = 0.0;
dlatmx = 0.0;
for (lat = 90; lat >= -90; lat--) {
lat1 = (double)lat;
coslat = cosd(lat1);
for (j = 0, lng = -180; lng <= 180; lng++, j++) {
lng1[j] = (double)lng;
}
sphs2x(eul, 361, 1, 1, 1, lng1, &lat1, phi, theta);
sphx2s(eul, 361, 0, 1, 1, phi, theta, lng2, lat2);
for (j = 0; j <= 360; j++) {
dlng = fabs(lng2[j] - lng1[j]);
if (dlng > 180.0) dlng = fabs(dlng-360.0);
dlng *= coslat;
dlat = fabs(lat2[j]-lat1);
if (dlng > dlngmx) dlngmx = dlng;
if (dlat > dlatmx) dlatmx = dlat;
if (dlng > tol || dlat > tol) {
nFail++;
printf("Unclosed: lng1 =%20.15f lat1 =%20.15f\n", lng1[j], lat1);
printf(" phi =%20.15f theta =%20.15f\n", phi[j], theta[j]);
printf(" lng2 =%20.15f lat2 =%20.15f\n", lng2[j], lat2[j]);
}
}
}
/* Test closure at points close to the pole. */
for (j = -1; j <= 1; j += 2) {
zeta = 1.0;
lng1[0] = -180.0;
for (lat = 0; lat < 12; lat++) {
lat1 = (double)j*(90.0 - zeta);
sphs2x(eul, 1, 1, 1, 1, lng1, &lat1, phi, theta);
sphx2s(eul, 1, 1, 1, 1, phi, theta, lng2, lat2);
dlng = fabs(lng2[0] - lng1[0]);
if (dlng > 180.0) dlng = fabs(dlng-360.0);
dlng *= coslat;
dlat = fabs(lat2[0]-lat1);
if (dlng > dlngmx) dlngmx = dlng;
if (dlat > dlatmx) dlatmx = dlat;
if (dlng > tol || dlat > tol) {
nFail++;
printf("Unclosed: lng1 =%20.15f lat1 =%20.15f\n", lng1[0], lat1);
printf(" phi =%20.15f theta =%20.15f\n", phi[0], theta[0]);
printf(" lng2 =%20.15f lat2 =%20.15f\n", lng2[0], lat2[0]);
}
zeta /= 10.0;
lng1[0] += 30.0;
}
}
printf("\nsphs2x/sphx2s: Maximum closure residual = %.1e (lng), %.1e (lat) "
"deg.\n", dlngmx, dlatmx);
if (nFail) {
printf("\nFAIL: %d closure residuals exceed reporting tolerance.\n",
nFail);
} else {
printf("\nPASS: All closure residuals are within reporting tolerance.\n");
}
return nFail;
}
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