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/*
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* wcstrig.c
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*
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* Trigonometric or inverse trigonometric functions.
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*
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*%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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*
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* This file part of: AstrOmatic WCS library
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*
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* Copyright: (C) 2000-2010 Emmanuel Bertin -- IAP/CNRS/UPMC
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* (C) 1995-1999 Mark Calabretta (original version)
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*
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* Licenses: GNU General Public License
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*
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* AstrOmatic software is free software: you can redistribute it and/or
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* modify it under the terms of the GNU General Public License as
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* published by the Free Software Foundation, either version 3 of the
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* License, or (at your option) any later version.
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* AstrOmatic software is distributed in the hope that it will be useful,
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* but WITHOUT ANY WARRANTY; without even the implied warranty of
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* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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* GNU General Public License for more details.
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* You should have received a copy of the GNU General Public License
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* along with AstrOmatic software.
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* If not, see <http://www.gnu.org/licenses/>.
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*
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* Last modified: 10/10/2010
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*
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*%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%*/
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/*============================================================================
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*
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* WCSLIB - an implementation of the FITS WCS proposal.
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* Copyright (C) 1995-1999, Mark Calabretta
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*
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* This library is free software; you can redistribute it and/or modify it
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* under the terms of the GNU Library General Public License as published
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* by the Free Software Foundation; either version 2 of the License, or (at
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* your option) any later version.
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*
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* This library is distributed in the hope that it will be useful, but
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* WITHOUT ANY WARRANTY; without even the implied warranty of
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* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Library
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* General Public License for more details.
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*
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* You should have received a copy of the GNU Library General Public License
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* along with this library; if not, write to the Free Software Foundation,
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* Inc., 675 Mass Ave, Cambridge, MA 02139, USA.
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*
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* Correspondence concerning WCSLIB may be directed to:
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* Internet email: mcalabre@atnf.csiro.au
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* Postal address: Dr. Mark Calabretta,
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* Australia Telescope National Facility,
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* P.O. Box 76,
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* Epping, NSW, 2121,
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* AUSTRALIA
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*
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*=============================================================================
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*
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* The functions defined herein are trigonometric or inverse trigonometric
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* functions which take or return angular arguments in decimal degrees.
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*
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* $Id: wcstrig.c,v 1.1.1.1 2002/03/15 16:33:26 bertin Exp $
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*---------------------------------------------------------------------------*/
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#ifdef HAVE_CONFIG_H
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#include "config.h"
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#endif
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#ifdef HAVE_MATHIMF_H
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#include <mathimf.h>
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#else
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#include <math.h>
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#endif
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#include "wcstrig.h"
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#ifndef PI /* EB 02/06/97 */
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#define PI 3.141592653589793238462643
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#endif /* EB 02/06/97 */
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const double d2r = PI / 180.0;
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const double r2d = 180.0 / PI;
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#ifndef HAVE_MATHIMF_H
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double wcs_cosd(angle)
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const double angle;
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{
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double resid;
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resid = fabs(fmod(angle,360.0));
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if (resid == 0.0) {
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return 1.0;
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} else if (resid == 90.0) {
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return 0.0;
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} else if (resid == 180.0) {
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return -1.0;
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} else if (resid == 270.0) {
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return 0.0;
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}
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return cos(angle*d2r);
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}
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/*--------------------------------------------------------------------------*/
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double wcs_sind(angle)
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const double angle;
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{
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double resid;
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resid = fmod(angle-90.0,360.0);
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if (resid == 0.0) {
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return 1.0;
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} else if (resid == 90.0) {
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return 0.0;
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} else if (resid == 180.0) {
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return -1.0;
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} else if (resid == 270.0) {
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return 0.0;
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}
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return sin(angle*d2r);
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}
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/*--------------------------------------------------------------------------*/
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double wcs_tand(angle)
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const double angle;
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{
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double resid;
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resid = fmod(angle,360.0);
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if (resid == 0.0 || fabs(resid) == 180.0) {
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return 0.0;
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} else if (resid == 45.0 || resid == 225.0) {
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return 1.0;
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} else if (resid == -135.0 || resid == -315.0) {
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return -1.0;
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}
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return tan(angle*d2r);
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}
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/*--------------------------------------------------------------------------*/
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double wcs_acosd(v)
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const double v;
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{
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if (v >= 1.0) {
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if (v-1.0 < WCSTRIG_TOL) return 0.0;
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} else if (v == 0.0) {
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return 90.0;
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} else if (v <= -1.0) {
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if (v+1.0 > -WCSTRIG_TOL) return 180.0;
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}
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return acos(v)*r2d;
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}
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/*--------------------------------------------------------------------------*/
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double wcs_asind(v)
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const double v;
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{
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if (v <= -1.0) {
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if (v+1.0 > -WCSTRIG_TOL) return -90.0;
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} else if (v == 0.0) {
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return 0.0;
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} else if (v >= 1.0) {
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if (v-1.0 < WCSTRIG_TOL) return 90.0;
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}
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return asin(v)*r2d;
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}
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/*--------------------------------------------------------------------------*/
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double wcs_atand(v)
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const double v;
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{
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if (v == -1.0) {
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return -45.0;
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} else if (v == 0.0) {
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return 0.0;
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} else if (v == 1.0) {
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return 45.0;
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}
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return atan(v)*r2d;
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}
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/*--------------------------------------------------------------------------*/
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double wcs_atan2d(y, x)
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const double x, y;
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{
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if (y == 0.0) {
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if (x >= 0.0) {
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return 0.0;
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} else if (x < 0.0) {
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return 180.0;
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}
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} else if (x == 0.0) {
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if (y > 0.0) {
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return 90.0;
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} else if (y < 0.0) {
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return -90.0;
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}
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}
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return atan2(y,x)*r2d;
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}
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#endif
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