head	8.7;
access;
symbols;
locks; strict;
comment	@ * @;


8.7
date	2026.05.11.12.01.10;	author mcalabre;	state Exp;
branches;
next	8.6;

8.6
date	2026.03.29.13.53.56;	author mcalabre;	state Exp;
branches
	8.6.1.1;
next	8.5;

8.5
date	2025.12.06.13.47.41;	author mcalabre;	state Exp;
branches
	8.5.1.1;
next	8.4;

8.4
date	2024.10.28.13.56.17;	author mcalabre;	state Exp;
branches
	8.4.1.1;
next	8.3;

8.3
date	2024.05.13.16.33.00;	author mcalabre;	state Exp;
branches
	8.3.1.1;
next	8.2;

8.2
date	2023.11.16.10.00.30;	author mcalabre;	state Exp;
branches
	8.2.1.1;
next	8.1;

8.1
date	2023.07.05.17.12.07;	author mcalabre;	state Exp;
branches
	8.1.1.1;
next	8.0;

8.0
date	2023.07.01.06.15.05;	author mcalabre;	state Exp;
branches
	8.0.1.1;
next	7.13;

7.13
date	2022.10.07.03.43.35;	author mcalabre;	state Exp;
branches
	7.13.1.1;
next	7.12;

7.12
date	2022.09.09.04.57.58;	author mcalabre;	state Exp;
branches
	7.12.1.1;
next	7.11;

7.11
date	2022.04.26.06.13.52;	author mcalabre;	state Exp;
branches
	7.11.1.1;
next	7.10;

7.10
date	2022.04.23.14.25.15;	author mcalabre;	state Exp;
branches
	7.10.1.1;
next	7.9;

7.9
date	2022.03.25.15.14.49;	author mcalabre;	state Exp;
branches
	7.9.1.1;
next	7.8;

7.8
date	2022.03.25.06.11.49;	author mcalabre;	state Exp;
branches
	7.8.1.1;
next	7.7;

7.7
date	2021.07.12.06.36.49;	author mcalabre;	state Exp;
branches
	7.7.1.1;
next	7.6;

7.6
date	2021.04.13.12.57.01;	author mcalabre;	state Exp;
branches
	7.6.1.1;
next	7.5;

7.5
date	2021.03.20.05.54.58;	author mcalabre;	state Exp;
branches
	7.5.1.1;
next	7.4;

7.4
date	2021.01.31.02.24.52;	author mcalabre;	state Exp;
branches
	7.4.1.1;
next	7.3;

7.3
date	2020.06.03.03.37.03;	author mcalabre;	state Exp;
branches
	7.3.1.1;
next	7.2;

7.2
date	2020.03.09.07.31.23;	author mcalabre;	state Exp;
branches
	7.2.1.1;
next	7.1;

7.1
date	2019.12.31.13.25.19;	author mcalabre;	state Exp;
branches
	7.1.1.1;
next	6.4;

6.4
date	2019.08.15.09.30.18;	author mcalabre;	state Exp;
branches
	6.4.1.1;
next	6.3;

6.3
date	2019.07.12.07.33.39;	author mcalabre;	state Exp;
branches
	6.3.1.1;
next	6.2;

6.2
date	2018.10.20.10.03.14;	author mcalabre;	state Exp;
branches
	6.2.1.1;
next	6.1;

6.1
date	2018.10.19.08.35.17;	author mcalabre;	state Exp;
branches
	6.1.1.1;
next	5.20;

5.20
date	2018.10.05.05.32.41;	author mcalabre;	state Exp;
branches
	5.20.1.1;
next	5.19;

5.19
date	2018.07.26.15.37.05;	author mcalabre;	state Exp;
branches
	5.19.1.1;
next	5.18;

5.18
date	2018.01.10.08.32.14;	author mcalabre;	state Exp;
branches
	5.18.1.1;
next	5.17;

5.17
date	2017.09.18.08.44.24;	author mcalabre;	state Exp;
branches
	5.17.1.1;
next	5.16;

5.16
date	2017.01.15.04.25.02;	author mcalabre;	state Exp;
branches
	5.16.1.1;
next	5.15;

5.15
date	2016.04.05.12.55.11;	author mcalabre;	state Exp;
branches
	5.15.1.1;
next	5.14;

5.14
date	2016.02.07.10.49.32;	author mcalabre;	state Exp;
branches
	5.14.1.1;
next	5.13;

5.13
date	2016.01.26.08.51.15;	author mcalabre;	state Exp;
branches
	5.13.1.1;
next	5.12;

5.12
date	2015.11.15.02.13.01;	author mcalabre;	state Exp;
branches
	5.12.1.1;
next	5.11;

5.11
date	2015.10.18.09.13.06;	author mcalabre;	state Exp;
branches
	5.11.1.1;
next	5.10;

5.10
date	2015.10.09.08.19.16;	author mcalabre;	state Exp;
branches
	5.10.1.1;
next	5.9;

5.9
date	2015.07.21.09.20.03;	author mcalabre;	state Exp;
branches
	5.9.1.1;
next	5.8;

5.8
date	2015.07.08.11.04.01;	author mcalabre;	state Exp;
branches
	5.8.1.1;
next	5.7;

5.7
date	2015.06.29.02.44.17;	author mcalabre;	state Exp;
branches
	5.7.1.1;
next	5.6;

5.6
date	2015.06.14.07.11.25;	author mcalabre;	state Exp;
branches
	5.6.1.1;
next	5.5;

5.5
date	2015.05.05.13.16.32;	author mcalabre;	state Exp;
branches
	5.5.1.1;
next	5.4;

5.4
date	2015.04.21.14.41.06;	author mcalabre;	state Exp;
branches
	5.4.1.1;
next	5.3;

5.3
date	2015.04.21.02.50.52;	author mcalabre;	state Exp;
branches
	5.3.1.1;
next	5.2;

5.2
date	2015.04.15.12.35.08;	author mcalabre;	state Exp;
branches
	5.2.1.1;
next	5.1;

5.1
date	2015.04.07.10.56.38;	author mcalabre;	state Exp;
branches
	5.1.1.1;
next	5.0;

5.0
date	2015.04.05.12.25.01;	author mcalabre;	state Exp;
branches
	5.0.1.1;
next	4.25;

4.25
date	2014.12.14.14.29.37;	author mcalabre;	state Exp;
branches
	4.25.1.1;
next	4.24;

4.24
date	2014.09.18.15.25.01;	author mcalabre;	state Exp;
branches
	4.24.1.1;
next	4.23;

4.23
date	2014.05.13.05.50.52;	author mcalabre;	state Exp;
branches
	4.23.1.1;
next	4.22;

4.22
date	2014.04.12.15.03.53;	author mcalabre;	state Exp;
branches
	4.22.1.1;
next	4.21;

4.21
date	2014.03.24.05.12.28;	author mcalabre;	state Exp;
branches
	4.21.1.1;
next	4.20;

4.20
date	2013.12.18.05.42.50;	author mcalabre;	state Exp;
branches
	4.20.1.1;
next	4.19;

4.19
date	2013.09.29.14.17.52;	author mcalabre;	state Exp;
branches
	4.19.1.1;
next	4.18;

4.18
date	2013.07.13.10.00.05;	author mcalabre;	state Exp;
branches
	4.18.1.1;
next	4.17;

4.17
date	2013.01.29.05.29.21;	author cal103;	state Exp;
branches
	4.17.1.1;
next	4.16;

4.16
date	2012.11.07.04.42.45;	author cal103;	state Exp;
branches
	4.16.1.1;
next	4.15;

4.15
date	2012.09.26.14.26.06;	author cal103;	state Exp;
branches
	4.15.1.1;
next	4.14;

4.14
date	2012.07.13.10.02.32;	author cal103;	state Exp;
branches
	4.14.1.1;
next	4.13;

4.13
date	2012.03.14.07.39.30;	author cal103;	state Exp;
branches
	4.13.1.1;
next	4.12;

4.12
date	2012.02.29.07.57.57;	author cal103;	state Exp;
branches
	4.12.1.1;
next	4.11;

4.11
date	2012.02.20.23.30.02;	author cal103;	state Exp;
branches
	4.11.1.1;
next	4.10;

4.10
date	2012.02.05.23.41.44;	author cal103;	state Exp;
branches
	4.10.1.1;
next	4.9;

4.9
date	2012.01.24.05.40.29;	author cal103;	state Exp;
branches
	4.9.1.1;
next	4.8;

4.8
date	2011.08.15.08.05.54;	author cal103;	state Exp;
branches
	4.8.1.1;
next	4.7;

4.7
date	2011.02.07.07.03.42;	author cal103;	state Exp;
branches
	4.7.1.1;
next	4.6;

4.6
date	2010.11.16.06.15.31;	author cal103;	state Exp;
branches
	4.6.1.1;
next	4.5;

4.5
date	2010.07.16.07.01.26;	author cal103;	state Exp;
branches
	4.5.1.1;
next	4.4;

4.4
date	2009.08.06.07.45.31;	author cal103;	state Exp;
branches
	4.4.1.1;
next	4.3;

4.3
date	2007.12.27.05.35.51;	author cal103;	state Exp;
branches
	4.3.1.1;
next	4.2;

4.2
date	2005.09.22.02.15.15;	author cal103;	state Exp;
branches
	4.2.1.1;
next	4.1;

4.1
date	2005.08.22.07.27.11;	author cal103;	state Exp;
branches;
next	4.0;

4.0
date	2005.02.04.06.25.46;	author cal103;	state Exp;
branches;
next	3.6;

3.6
date	2004.08.25.05.37.07;	author cal103;	state Exp;
branches;
next	3.5;

3.5
date	2004.06.28.01.06.11;	author mcalabre;	state Exp;
branches;
next	3.4;

3.4
date	2004.02.11.00.23.05;	author mcalabre;	state Exp;
branches;
next	3.3;

3.3
date	2003.10.21.08.10.05;	author mcalabre;	state Exp;
branches;
next	3.2;

3.2
date	2003.09.09.04.40.16;	author mcalabre;	state Exp;
branches;
next	3.1;

3.1
date	2003.04.28.04.27.07;	author mcalabre;	state Exp;
branches;
next	3.0;

3.0
date	2003.04.01.04.16.39;	author mcalabre;	state Exp;
branches;
next	2.10;

2.10
date	2002.04.03.01.25.29;	author mcalabre;	state Exp;
branches;
next	2.9;

2.9
date	2001.11.15.03.27.22;	author mcalabre;	state Exp;
branches;
next	2.8;

2.8
date	2000.12.04.08.25.58;	author mcalabre;	state Exp;
branches;
next	2.7;

2.7
date	2000.05.10.04.44.05;	author mcalabre;	state Exp;
branches;
next	2.6;

2.6
date	99.12.13.07.33.35;	author mcalabre;	state Exp;
branches;
next	2.5;

2.5
date	99.11.19.00.31.36;	author mcalabre;	state Exp;
branches;
next	2.4;

2.4
date	99.06.16.00.12.45;	author mcalabre;	state Exp;
branches;
next	2.3;

2.3
date	98.02.25.07.05.50;	author mcalabre;	state Exp;
branches;
next	2.2;

2.2
date	98.01.30.00.17.29;	author mcalabre;	state Exp;
branches;
next	2.1;

2.1
date	96.05.07.20.31.11;	author mcalabre;	state Exp;
branches;
next	2.0;

2.0
date	95.09.12.06.42.37;	author mcalabre;	state Exp;
branches;
next	1.2;

1.2
date	95.09.12.06.42.12;	author mcalabre;	state Exp;
branches;
next	1.1;

1.1
date	95.01.31.03.13.15;	author mcalabre;	state Exp;
branches;
next	;

4.2.1.1
date	2005.12.05.01.39.15;	author cal103;	state Exp;
branches;
next	4.2.1.2;

4.2.1.2
date	2007.12.03.05.12.59;	author cal103;	state Exp;
branches;
next	;

4.3.1.1
date	2007.12.27.13.24.32;	author cal103;	state Exp;
branches;
next	4.3.1.2;

4.3.1.2
date	2009.06.10.01.58.15;	author cal103;	state Exp;
branches;
next	4.3.1.3;

4.3.1.3
date	2009.07.22.06.37.43;	author cal103;	state Exp;
branches;
next	;

4.4.1.1
date	2009.08.10.08.54.26;	author cal103;	state Exp;
branches;
next	4.4.1.2;

4.4.1.2
date	2010.01.19.03.44.00;	author cal103;	state Exp;
branches;
next	;

4.5.1.1
date	2010.07.16.07.05.32;	author cal103;	state Exp;
branches;
next	;

4.6.1.1
date	2010.11.16.06.16.19;	author cal103;	state Exp;
branches;
next	4.6.1.2;

4.6.1.2
date	2011.01.14.06.33.44;	author cal103;	state Exp;
branches;
next	;

4.7.1.1
date	2011.02.07.07.04.23;	author cal103;	state Exp;
branches;
next	4.7.1.2;

4.7.1.2
date	2011.08.12.03.41.29;	author cal103;	state Exp;
branches;
next	;

4.8.1.1
date	2011.08.15.08.07.06;	author cal103;	state Exp;
branches;
next	4.8.1.2;

4.8.1.2
date	2012.01.24.05.23.30;	author cal103;	state Exp;
branches;
next	;

4.9.1.1
date	2012.01.24.05.41.46;	author cal103;	state Exp;
branches;
next	;

4.10.1.1
date	2012.02.05.23.42.47;	author cal103;	state Exp;
branches;
next	;

4.11.1.1
date	2012.02.20.23.31.13;	author cal103;	state Exp;
branches;
next	;

4.12.1.1
date	2012.02.29.07.59.11;	author cal103;	state Exp;
branches;
next	;

4.13.1.1
date	2012.03.14.07.40.38;	author cal103;	state Exp;
branches;
next	4.13.1.2;

4.13.1.2
date	2012.07.13.03.37.00;	author cal103;	state Exp;
branches;
next	;

4.14.1.1
date	2012.07.13.10.04.50;	author cal103;	state Exp;
branches;
next	;

4.15.1.1
date	2012.09.26.14.27.52;	author cal103;	state Exp;
branches;
next	;

4.16.1.1
date	2012.11.07.04.45.57;	author cal103;	state Exp;
branches;
next	4.16.1.2;

4.16.1.2
date	2013.01.29.05.10.40;	author cal103;	state Exp;
branches;
next	;

4.17.1.1
date	2013.01.29.05.32.33;	author cal103;	state Exp;
branches;
next	;

4.18.1.1
date	2013.07.13.10.02.38;	author mcalabre;	state Exp;
branches;
next	;

4.19.1.1
date	2013.09.29.14.20.40;	author mcalabre;	state Exp;
branches;
next	;

4.20.1.1
date	2013.12.18.05.46.56;	author mcalabre;	state Exp;
branches;
next	4.20.1.2;

4.20.1.2
date	2014.03.21.06.26.03;	author mcalabre;	state Exp;
branches;
next	;

4.21.1.1
date	2014.03.24.05.15.29;	author mcalabre;	state Exp;
branches;
next	;

4.22.1.1
date	2014.04.12.15.06.33;	author mcalabre;	state Exp;
branches;
next	;

4.23.1.1
date	2014.05.13.05.53.51;	author mcalabre;	state Exp;
branches;
next	;

4.24.1.1
date	2014.09.18.15.28.11;	author mcalabre;	state Exp;
branches;
next	;

4.25.1.1
date	2014.12.14.14.32.46;	author mcalabre;	state Exp;
branches;
next	4.25.1.2;

4.25.1.2
date	2015.01.06.01.01.52;	author mcalabre;	state Exp;
branches;
next	;

5.0.1.1
date	2015.04.05.12.28.02;	author mcalabre;	state Exp;
branches;
next	;

5.1.1.1
date	2015.04.07.11.01.11;	author mcalabre;	state Exp;
branches;
next	;

5.2.1.1
date	2015.04.15.12.39.16;	author mcalabre;	state Exp;
branches;
next	;

5.3.1.1
date	2015.04.21.02.54.03;	author mcalabre;	state Exp;
branches;
next	;

5.4.1.1
date	2015.04.21.14.44.29;	author mcalabre;	state Exp;
branches;
next	;

5.5.1.1
date	2015.05.05.13.21.02;	author mcalabre;	state Exp;
branches;
next	;

5.6.1.1
date	2015.06.14.07.14.46;	author mcalabre;	state Exp;
branches;
next	5.6.1.2;

5.6.1.2
date	2015.06.27.06.24.11;	author mcalabre;	state Exp;
branches;
next	5.6.1.3;

5.6.1.3
date	2015.06.28.07.42.46;	author mcalabre;	state Exp;
branches;
next	;

5.7.1.1
date	2015.06.29.02.47.25;	author mcalabre;	state Exp;
branches;
next	;

5.8.1.1
date	2015.07.08.11.07.20;	author mcalabre;	state Exp;
branches;
next	;

5.9.1.1
date	2015.07.21.09.28.10;	author mcalabre;	state Exp;
branches;
next	;

5.10.1.1
date	2015.10.09.08.22.37;	author mcalabre;	state Exp;
branches;
next	;

5.11.1.1
date	2015.10.18.09.16.29;	author mcalabre;	state Exp;
branches;
next	;

5.12.1.1
date	2015.11.15.02.16.16;	author mcalabre;	state Exp;
branches;
next	5.12.1.2;

5.12.1.2
date	2016.01.25.05.17.40;	author mcalabre;	state Exp;
branches;
next	;

5.13.1.1
date	2016.01.26.08.54.34;	author mcalabre;	state Exp;
branches;
next	;

5.14.1.1
date	2016.02.07.10.52.46;	author mcalabre;	state Exp;
branches;
next	;

5.15.1.1
date	2016.04.05.12.58.37;	author mcalabre;	state Exp;
branches;
next	5.15.1.2;

5.15.1.2
date	2017.01.15.04.14.22;	author mcalabre;	state Exp;
branches;
next	;

5.16.1.1
date	2017.01.15.04.29.01;	author mcalabre;	state Exp;
branches;
next	;

5.17.1.1
date	2017.09.18.08.46.00;	author mcalabre;	state Exp;
branches;
next	5.17.1.2;

5.17.1.2
date	2018.01.10.08.26.04;	author mcalabre;	state Exp;
branches;
next	;

5.18.1.1
date	2018.01.10.08.33.04;	author mcalabre;	state Exp;
branches;
next	;

5.19.1.1
date	2018.07.26.15.41.41;	author mcalabre;	state Exp;
branches;
next	;

5.20.1.1
date	2018.10.05.05.33.33;	author mcalabre;	state Exp;
branches;
next	;

6.1.1.1
date	2018.10.19.08.36.15;	author mcalabre;	state Exp;
branches;
next	;

6.2.1.1
date	2018.10.20.10.04.15;	author mcalabre;	state Exp;
branches;
next	6.2.1.2;

6.2.1.2
date	2019.05.10.02.01.28;	author mcalabre;	state Exp;
branches;
next	;

6.3.1.1
date	2019.07.12.07.34.37;	author mcalabre;	state Exp;
branches;
next	;

6.4.1.1
date	2019.08.15.09.31.29;	author mcalabre;	state Exp;
branches;
next	6.4.1.2;

6.4.1.2
date	2019.12.31.03.28.29;	author mcalabre;	state Exp;
branches;
next	;

7.1.1.1
date	2019.12.31.13.28.19;	author mcalabre;	state Exp;
branches;
next	;

7.2.1.1
date	2020.03.09.07.34.50;	author mcalabre;	state Exp;
branches;
next	;

7.3.1.1
date	2020.06.03.03.38.11;	author mcalabre;	state Exp;
branches;
next	7.3.1.2;

7.3.1.2
date	2020.08.17.11.20.48;	author mcalabre;	state Exp;
branches;
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desc
@Program to test closure of the WCSLIB spherical coordinate transformation
routines.
@


8.7
log
@WCSLIB 8.7
@
text
@/*============================================================================
  WCSLIB 8.7 - an implementation of the FITS WCS standard.
  Copyright (C) 1995-2026, 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.

  Author: Mark Calabretta, Australia Telescope National Facility, CSIRO.
  http://www.atnf.csiro.au/computing/software/wcs
  $Id: tsph.c,v 8.6.1.2 2026/04/25 08:36:44 mcalabre Exp mcalabre $
*=============================================================================
*
* 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()

{
  const double tol = 1.0e-12;

  printf(
  "Testing closure of WCSLIB coordinate transformation routines (tsph.c)\n"
  "---------------------------------------------------------------------\n");

  printf ("Reporting tolerance:%8.1e degrees of arc.\n", tol);

  int nFail = 0;
  double eul[5];
  double dlngmx = 0.0;
  double dlatmx = 0.0;
  for (int k = 0; k < 3; k++) {
    // Set reference angles.
    eul[0] =  90.0;
    eul[2] = -90.0;

    if (k < 2) {
      // Special-case transformations.
      eul[1] = (k==0) ? 0.0 : 180.0;
    } else {
      eul[1] =  30.0;
    }

    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]);

    // Test points at constant latitude.
    for (int lat = 90; lat >= -90; lat--) {
      double lng1[361];
      for (int j = 0, lng = -180; lng <= 180; lng++, j++) {
        lng1[j] = (double)lng;
      }

      double lat1 = (double)lat;
      double coslat = cosd(lat1);

      double lng2[361], lat2[361], phi[361], theta[361];
      sphs2x(eul, 361, 1, 1, 1, lng1, &lat1, phi, theta);
      sphx2s(eul, 361, 0, 1, 1, phi, theta, lng2, lat2);

      // Exact results are expected for special-case transformations.
      if (k == 0) {
        // Identity transformation.
        for (int j = 0; j <= 360; j++) {
          if (phi[j] != lng1[j] || theta[j] != lat1) {
            nFail++;
            printf("   Error: lng1 =%20.15f  lat1 =%20.15f\n",
                   lng1[j], lat1);
            printf("           phi =%20.15f theta =%20.15f\n",
                   phi[j], theta[j]);
          }
        }

      } else if (k == 1) {
        // Antipodal transformation.
        for (int j = 0; j <= 360; j++) {
          if (phi[j] != -lng1[j] || theta[j] != -lat1) {
            nFail++;
            printf("   Error: lng1 =%20.15f  lat1 =%20.15f\n",
                   lng1[j], lat1);
            printf("           phi =%20.15f theta =%20.15f\n",
                   phi[j], theta[j]);
          }
        }
      }

      // Do another round trip, just for good measure.
      sphs2x(eul, 361, 0, 1, 1, lng2, lat2, phi, theta);
      sphx2s(eul, 361, 0, 1, 1, phi, theta, lng2, lat2);

      // Check closure.
      for (int j = 0; j <= 360; j++) {
        double dlng = fabs(lng2[j] - lng1[j]);
        double dlat = fabs(lat2[j] - lat1);
        if (dlng > 180.0) dlng = fabs(dlng-360.0);
        dlng *= coslat;

        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 vector strides using points in spirals from south to north.
    double cel1[181][2], cel2[181][2], ntv[181][2];
    for (int lng = 0; lng <= 360; lng++) {
      for (int j = 0, lat = -90; lat <= 90; j++, lat++) {
        cel1[j][0] = (double)((lng+j)%360 - 180);
        cel1[j][1] = (double)lat;
      }

      sphs2x(eul, 181, 0, 2, 2, &(cel1[0][0]), &(cel1[0][1]),
             &(ntv[0][0]), &(ntv[0][1]));
      sphx2s(eul, 181, 0, 2, 2, &(ntv[0][0]), &(ntv[0][1]),
             &(cel2[0][0]), &(cel2[0][1]));

      // Exact results are expected for special-case transformations.
      if (k == 0) {
        // Identity transformation.
        for (int j = 0; j <= 180; j++) {
          if (ntv[j][0] != cel1[j][0] || ntv[j][1] != cel1[j][1]) {
            nFail++;
            printf("   Error: lng1 =%20.15f  lat1 =%20.15f\n",
                   cel1[j][0], cel1[j][1]);
            printf("           phi =%20.15f theta =%20.15f\n",
                   ntv[j][0], ntv[j][1]);
          }
        }

      } else if (k == 1) {
        // Antipodal transformation.
        for (int j = 0; j <= 180; j++) {
          if (ntv[j][0] != -cel1[j][0] || ntv[j][1] != -cel1[j][1]) {
            nFail++;
            printf("   Error: lng1 =%20.15f  lat1 =%20.15f\n",
                   cel1[j][0], cel1[j][1]);
            printf("           phi =%20.15f theta =%20.15f\n",
                   ntv[j][0], ntv[j][1]);
          }
        }
      }

      // Check closure.
      for (int j = 0; j <= 180; j++) {
        double dlng = fabs(cel2[j][0] - cel1[j][0]);
        double dlat = fabs(cel2[j][1] - cel1[j][1]);
        if (dlng > 180.0) dlng = fabs(dlng - 360.0);
        dlng *= cosd(cel1[j][1]);

        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",
            cel1[j][0], cel1[j][1]);
          printf("           phi =%20.15f theta =%20.15f\n",
            ntv[j][0], ntv[j][1]);
          printf("          lng2 =%20.15f  lat2 =%20.15f\n",
            cel2[j][0], cel2[j][1]);
        }
      }
    }
  }


  // Test closure at points close to the pole.
  for (int j = -1; j <= 1; j += 2) {
    double zeta = 1.0;
    double lng1 = -180.0;

    for (int lat = 0; lat < 12; lat++) {
      double lat1 = (double)j*(90.0 - zeta);

      double lng2, lat2, phi, theta;
      sphs2x(eul, 1, 1, 1, 1, &lng1, &lat1, &phi, &theta);
      sphx2s(eul, 1, 1, 1, 1, &phi, &theta, &lng2, &lat2);

      double dlng = fabs(lng2 - lng1);
      double dlat = fabs(lat2 - lat1);
      if (dlng > 180.0) dlng = fabs(dlng - 360.0);
      dlng *= cosd(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, lat1);
        printf("           phi =%20.15f theta =%20.15f\n", phi,  theta);
        printf("          lng2 =%20.15f  lat2 =%20.15f\n", lng2, lat2);
      }

      zeta /= 10.0;
      lng1 += 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;
}
@


8.6
log
@WCSLIB 8.6
@
text
@d2 1
a2 1
  WCSLIB 8.6 - an implementation of the FITS WCS standard.
d22 1
a22 1
  $Id: tsph.c,v 8.5.1.2 2026/03/29 13:36:17 mcalabre Exp mcalabre $
a39 4
  int   j, k, lat, lng, nFail = 0;
  double cel1[181][2], cel2[181][2], coslat, dlat, dlatmx, dlng, dlngmx,
         eul[5], lng1[361], lng2[361], lat1, lat2[361], ntv[181][2], phi[361],
         theta[361], zeta;
a41 1

d48 5
a52 4
  dlngmx = 0.0;
  dlatmx = 0.0;

  for (k = 0; k < 3; k++) {
d72 3
a74 5
    for (lat = 90; lat >= -90; lat--) {
      lat1 = (double)lat;
      coslat = cosd(lat1);

      for (j = 0, lng = -180; lng <= 180; lng++, j++) {
d78 4
d88 1
a88 1
        for (j = 0; j <= 360; j++) {
d100 1
a100 1
        for (j = 0; j <= 360; j++) {
d116 3
a118 2
      for (j = 0; j <= 360; j++) {
        dlng = fabs(lng2[j] - lng1[j]);
a120 1
        dlat = fabs(lat2[j] - lat1);
d135 3
a137 2
    for (lng = 0; lng <= 360; lng++) {
      for (j = 0, lat = -90; lat <= 90; j++, lat++) {
d150 1
a150 1
        for (j = 0; j <= 180; j++) {
d162 1
a162 1
        for (j = 0; j <= 180; j++) {
d174 3
a176 2
      for (j = 0; j <= 180; j++) {
        dlng = fabs(cel2[j][0] - cel1[j][0]);
a178 1
        dlat = fabs(cel2[j][1] - cel1[j][1]);
d191 1
a191 1
         }
d198 10
a207 9
  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);
d209 2
a210 1
      dlng = fabs(lng2[0] - lng1[0]);
d212 1
a212 2
      dlng *= coslat;
      dlat = fabs(lat2[0] - lat1);
d219 3
a221 3
        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]);
d225 1
a225 1
      lng1[0] += 30.0;
@


8.6.1.1
log
@WCSLIB 8.6 development branch.
@
text
@d22 1
a22 1
  $Id: tsph.c,v 8.6 2026/03/29 13:53:56 mcalabre Exp $
@


8.6.1.2
log
@Converted to C99-style intermingled variable declarations.
@
text
@d22 1
a22 1
  $Id: tsph.c,v 8.6.1.1 2026/03/29 14:19:27 mcalabre Exp mcalabre $
d40 4
d46 1
d53 4
a56 5
  int nFail = 0;
  double eul[5];
  double dlngmx = 0.0;
  double dlatmx = 0.0;
  for (int k = 0; k < 3; k++) {
d76 5
a80 3
    for (int lat = 90; lat >= -90; lat--) {
      double lng1[361];
      for (int j = 0, lng = -180; lng <= 180; lng++, j++) {
a83 4
      double lat1 = (double)lat;
      double coslat = cosd(lat1);

      double lng2[361], lat2[361], phi[361], theta[361];
d90 1
a90 1
        for (int j = 0; j <= 360; j++) {
d102 1
a102 1
        for (int j = 0; j <= 360; j++) {
d118 2
a119 3
      for (int j = 0; j <= 360; j++) {
        double dlng = fabs(lng2[j] - lng1[j]);
        double dlat = fabs(lat2[j] - lat1);
d122 1
d137 2
a138 3
    double cel1[181][2], cel2[181][2], ntv[181][2];
    for (int lng = 0; lng <= 360; lng++) {
      for (int j = 0, lat = -90; lat <= 90; j++, lat++) {
d151 1
a151 1
        for (int j = 0; j <= 180; j++) {
d163 1
a163 1
        for (int j = 0; j <= 180; j++) {
d175 2
a176 3
      for (int j = 0; j <= 180; j++) {
        double dlng = fabs(cel2[j][0] - cel1[j][0]);
        double dlat = fabs(cel2[j][1] - cel1[j][1]);
d179 1
d192 1
a192 1
        }
d199 9
a207 10
  for (int j = -1; j <= 1; j += 2) {
    double zeta = 1.0;
    double lng1 = -180.0;

    for (int lat = 0; lat < 12; lat++) {
      double lat1 = (double)j*(90.0 - zeta);

      double lng2, lat2, phi, theta;
      sphs2x(eul, 1, 1, 1, 1, &lng1, &lat1, &phi, &theta);
      sphx2s(eul, 1, 1, 1, 1, &phi, &theta, &lng2, &lat2);
d209 1
a209 2
      double dlng = fabs(lng2 - lng1);
      double dlat = fabs(lat2 - lat1);
d211 2
a212 1
      dlng *= cosd(lat1);
d219 3
a221 3
        printf("Unclosed: lng1 =%20.15f  lat1 =%20.15f\n", lng1, lat1);
        printf("           phi =%20.15f theta =%20.15f\n", phi,  theta);
        printf("          lng2 =%20.15f  lat2 =%20.15f\n", lng2, lat2);
d225 1
a225 1
      lng1 += 30.0;
@


8.5
log
@WCSLIB 8.5
@
text
@d2 2
a3 2
  WCSLIB 8.5 - an implementation of the FITS WCS standard.
  Copyright (C) 1995-2025, Mark Calabretta
d21 2
a22 2
  http://www.atnf.csiro.au/people/Mark.Calabretta
  $Id: tsph.c,v 8.4.1.2 2025/12/06 13:37:17 mcalabre Exp mcalabre $
@


8.5.1.1
log
@WCSLIB 8.5 development branch.
@
text
@d22 1
a22 1
  $Id: tsph.c,v 8.5 2025/12/06 13:47:41 mcalabre Exp $
@


8.5.1.2
log
@Updated date in copyright notice.
@
text
@d3 1
a3 1
  Copyright (C) 1995-2026, Mark Calabretta
d21 2
a22 2
  http://www.atnf.csiro.au/computing/software/wcs
  $Id: tsph.c,v 8.5.1.1 2025/12/06 14:05:16 mcalabre Exp mcalabre $
@


8.4
log
@WCSLIB 8.4
@
text
@d2 2
a3 2
  WCSLIB 8.4 - an implementation of the FITS WCS standard.
  Copyright (C) 1995-2024, Mark Calabretta
d22 1
a22 1
  $Id: tsph.c,v 8.3.1.1 2024/05/13 16:35:40 mcalabre Exp mcalabre $
@


8.4.1.1
log
@WCSLIB 8.4 development branch.
@
text
@d22 1
a22 1
  $Id: tsph.c,v 8.4 2024/10/28 13:56:17 mcalabre Exp $
@


8.4.1.2
log
@Updated date in copyright notice.
@
text
@d3 1
a3 1
  Copyright (C) 1995-2025, Mark Calabretta
d22 1
a22 1
  $Id: tsph.c,v 8.4.1.1 2024/10/28 13:58:41 mcalabre Exp mcalabre $
@


8.3
log
@WCSLIB 8.3
@
text
@d2 1
a2 1
  WCSLIB 8.3 - an implementation of the FITS WCS standard.
d22 1
a22 1
  $Id: tsph.c,v 8.2.1.2 2024/04/02 14:06:10 mcalabre Exp mcalabre $
@


8.3.1.1
log
@WCSLIB 8.3 development branch.
@
text
@d22 1
a22 1
  $Id: tsph.c,v 8.3 2024/05/13 16:33:00 mcalabre Exp $
@


8.2
log
@WCSLIB 8.2
@
text
@d2 2
a3 2
  WCSLIB 8.2 - an implementation of the FITS WCS standard.
  Copyright (C) 1995-2023, Mark Calabretta
d22 1
a22 1
  $Id: tsph.c,v 8.1.1.1 2023/07/05 17:15:00 mcalabre Exp mcalabre $
@


8.2.1.1
log
@WCSLIB 8.2 development branch.
@
text
@d22 1
a22 1
  $Id: tsph.c,v 8.2 2023/11/16 10:00:30 mcalabre Exp $
@


8.2.1.2
log
@Updated date in copyright notice.
@
text
@d3 1
a3 1
  Copyright (C) 1995-2024, Mark Calabretta
d22 1
a22 1
  $Id: tsph.c,v 8.2.1.1 2023/11/16 10:05:58 mcalabre Exp mcalabre $
@


8.1
log
@WCSLIB 8.1
@
text
@d2 1
a2 1
  WCSLIB 8.1 - an implementation of the FITS WCS standard.
d22 1
a22 1
  $Id: tsph.c,v 8.0.1.1 2023/07/01 06:22:44 mcalabre Exp mcalabre $
@


8.1.1.1
log
@WCSLIB 8.1 development branch.
@
text
@d22 1
a22 1
  $Id: tsph.c,v 8.1 2023/07/05 17:12:07 mcalabre Exp $
@


8.0
log
@WCSLIB 8.0
@
text
@d2 1
a2 1
  WCSLIB 8.0 - an implementation of the FITS WCS standard.
d22 1
a22 1
  $Id: tsph.c,v 7.13.1.2 2023/06/15 04:17:20 mcalabre Exp mcalabre $
@


8.0.1.1
log
@WCSLIB 8.0 development branch.
@
text
@d22 1
a22 1
  $Id: tsph.c,v 8.0 2023/07/01 06:15:05 mcalabre Exp $
@


7.13
log
@WCSLIB 7.13
@
text
@d2 2
a3 2
  WCSLIB 7.13 - an implementation of the FITS WCS standard.
  Copyright (C) 1995-2022, Mark Calabretta
d22 1
a22 1
  $Id: tsph.c,v 7.12.1.1 2022/09/09 05:00:36 mcalabre Exp mcalabre $
@


7.13.1.1
log
@WCSLIB 7.13 development branch.
@
text
@d22 1
a22 1
  $Id: tsph.c,v 7.13 2022/10/07 03:43:35 mcalabre Exp $
@


7.13.1.2
log
@Updated date in copyright notice.
@
text
@d3 1
a3 1
  Copyright (C) 1995-2023, Mark Calabretta
d22 1
a22 1
  $Id: tsph.c,v 7.13.1.1 2022/10/07 03:45:47 mcalabre Exp mcalabre $
@


7.12
log
@WCSLIB 7.12
@
text
@d2 1
a2 1
  WCSLIB 7.12 - an implementation of the FITS WCS standard.
d22 1
a22 1
  $Id: tsph.c,v 7.11.1.1 2022/04/26 06:15:32 mcalabre Exp mcalabre $
@


7.12.1.1
log
@WCSLIB 7.12 development branch.
@
text
@d22 1
a22 1
  $Id: tsph.c,v 7.12 2022/09/09 04:57:58 mcalabre Exp $
@


7.11
log
@WCSLIB 7.11
@
text
@d2 1
a2 1
  WCSLIB 7.11 - an implementation of the FITS WCS standard.
d22 1
a22 1
  $Id: tsph.c,v 7.10.1.1 2022/04/23 14:26:54 mcalabre Exp mcalabre $
@


7.11.1.1
log
@WCSLIB 7.11 development branch.
@
text
@d22 1
a22 1
  $Id: tsph.c,v 7.11 2022/04/26 06:13:52 mcalabre Exp $
@


7.10
log
@WCSLIB 7.10
@
text
@d2 1
a2 1
  WCSLIB 7.10 - an implementation of the FITS WCS standard.
d22 1
a22 1
  $Id: tsph.c,v 7.9.1.1 2022/03/25 15:16:40 mcalabre Exp mcalabre $
@


7.10.1.1
log
@WCSLIB 7.10 development branch.
@
text
@d22 1
a22 1
  $Id: tsph.c,v 7.10 2022/04/23 14:25:15 mcalabre Exp $
@


7.9
log
@WCSLIB 7.9
@
text
@d2 1
a2 1
  WCSLIB 7.9 - an implementation of the FITS WCS standard.
d22 1
a22 1
  $Id: tsph.c,v 7.8.1.1 2022/03/25 06:14:15 mcalabre Exp mcalabre $
@


7.9.1.1
log
@WCSLIB 7.9 development branch.
@
text
@d22 1
a22 1
  $Id: tsph.c,v 7.9 2022/03/25 15:14:49 mcalabre Exp $
@


7.8
log
@WCSLIB 7.8
@
text
@d2 1
a2 1
  WCSLIB 7.8 - an implementation of the FITS WCS standard.
d22 1
a22 1
  $Id: tsph.c,v 7.7.1.2 2022/03/25 06:05:59 mcalabre Exp mcalabre $
@


7.8.1.1
log
@WCSLIB 7.8 development branch.
@
text
@d22 1
a22 1
  $Id: tsph.c,v 7.8 2022/03/25 06:11:49 mcalabre Exp $
@


7.7
log
@WCSLIB 7.7
@
text
@d2 2
a3 2
  WCSLIB 7.7 - an implementation of the FITS WCS standard.
  Copyright (C) 1995-2021, Mark Calabretta
d22 1
a22 1
  $Id: tsph.c,v 7.6.1.1 2021/04/13 13:00:36 mcalabre Exp mcalabre $
@


7.7.1.1
log
@WCSLIB 7.7 development branch.
@
text
@d22 1
a22 1
  $Id: tsph.c,v 7.7 2021/07/12 06:36:49 mcalabre Exp $
@


7.7.1.2
log
@Updated date in copyright notice.
@
text
@d3 1
a3 1
  Copyright (C) 1995-2022, Mark Calabretta
d22 1
a22 1
  $Id: tsph.c,v 7.7.1.1 2021/07/12 06:38:27 mcalabre Exp mcalabre $
@


7.6
log
@WCSLIB 7.6
@
text
@d2 1
a2 1
  WCSLIB 7.6 - an implementation of the FITS WCS standard.
d22 1
a22 1
  $Id: tsph.c,v 7.5.1.1 2021/03/20 05:56:42 mcalabre Exp mcalabre $
@


7.6.1.1
log
@WCSLIB 7.6 development branch.
@
text
@d22 1
a22 1
  $Id: tsph.c,v 7.6 2021/04/13 12:57:01 mcalabre Exp $
@


7.5
log
@WCSLIB 7.5
@
text
@d2 1
a2 1
  WCSLIB 7.5 - an implementation of the FITS WCS standard.
d22 1
a22 1
  $Id: tsph.c,v 7.4.1.1 2021/01/31 02:26:24 mcalabre Exp mcalabre $
@


7.5.1.1
log
@WCSLIB 7.5 development branch.
@
text
@d22 1
a22 1
  $Id: tsph.c,v 7.5 2021/03/20 05:54:58 mcalabre Exp $
@


7.4
log
@WCSLIB 7.4
@
text
@d2 1
a2 1
  WCSLIB 7.4 - an implementation of the FITS WCS standard.
d22 1
a22 1
  $Id: tsph.c,v 7.3.1.4 2021/01/28 12:31:20 mcalabre Exp mcalabre $
@


7.4.1.1
log
@WCSLIB 7.4 development branch.
@
text
@d22 1
a22 1
  $Id: tsph.c,v 7.4 2021/01/31 02:24:52 mcalabre Exp $
@


7.3
log
@WCSLIB 7.3
@
text
@d2 2
a3 3

  WCSLIB 7.3 - an implementation of the FITS WCS standard.
  Copyright (C) 1995-2020, Mark Calabretta
a19 2
  Direct correspondence concerning WCSLIB to mark@@calabretta.id.au

d22 1
a22 1
  $Id: tsph.c,v 7.2.1.1 2020/03/09 07:34:50 mcalabre Exp mcalabre $
d57 1
a57 1
    /* Set reference angles. */
d62 1
a62 1
      /* Special-case transformations. */
d75 1
a75 1
    /* Test points at constant latitude. */
d87 1
a87 1
      /* Exact results are expected for special-case transformations. */
d89 1
a89 1
        /* Identity transformation. */
d101 1
a101 1
        /* Antipodal transformation. */
d113 1
a113 1
      /* Do another round trip, just for good measure. */
d117 1
a117 1
      /* Check closure. */
d136 1
a136 1
    /* Test vector strides using points in spirals from south to north. */
d148 1
a148 1
      /* Exact results are expected for special-case transformations. */
d150 1
a150 1
        /* Identity transformation. */
d162 1
a162 1
        /* Antipodal transformation. */
d174 1
a174 1
      /* Check closure. */
d198 1
a198 1
  /* Test closure at points close to the pole. */
@


7.3.1.1
log
@WCSLIB 7.3 development branch.
@
text
@d25 1
a25 1
  $Id: tsph.c,v 7.3 2020/06/03 03:37:03 mcalabre Exp $
@


7.3.1.2
log
@Switched to C99 style commenting (i.e. using //) within the code.
@
text
@d2 1
d25 1
a25 1
  $Id: tsph.c,v 7.3.1.1 2020/06/03 03:38:11 mcalabre Exp mcalabre $
d60 1
a60 1
    // Set reference angles.
d65 1
a65 1
      // Special-case transformations.
d78 1
a78 1
    // Test points at constant latitude.
d90 1
a90 1
      // Exact results are expected for special-case transformations.
d92 1
a92 1
        // Identity transformation.
d104 1
a104 1
        // Antipodal transformation.
d116 1
a116 1
      // Do another round trip, just for good measure.
d120 1
a120 1
      // Check closure.
d139 1
a139 1
    // Test vector strides using points in spirals from south to north.
d151 1
a151 1
      // Exact results are expected for special-case transformations.
d153 1
a153 1
        // Identity transformation.
d165 1
a165 1
        // Antipodal transformation.
d177 1
a177 1
      // Check closure.
d201 1
a201 1
  // Test closure at points close to the pole.
@


7.3.1.3
log
@Updated date in copyright notice.
@
text
@d3 1
a3 1
  Copyright (C) 1995-2021, Mark Calabretta
d24 1
a24 1
  $Id: tsph.c,v 7.3.1.2 2020/08/17 11:20:48 mcalabre Exp mcalabre $
@


7.3.1.4
log
@Removed my email address from the copyright notice.
@
text
@d20 2
d24 1
a24 1
  $Id: tsph.c,v 7.3.1.3 2021/01/19 14:10:01 mcalabre Exp mcalabre $
@


7.2
log
@WCSLIB 7.2
@
text
@d3 1
a3 1
  WCSLIB 7.2 - an implementation of the FITS WCS standard.
d25 1
a25 1
  $Id: tsph.c,v 7.1.1.1 2019/12/31 13:28:19 mcalabre Exp mcalabre $
@


7.2.1.1
log
@WCSLIB 7.2 development branch.
@
text
@d25 1
a25 1
  $Id: tsph.c,v 7.2 2020/03/09 07:31:23 mcalabre Exp $
@


7.1
log
@WCSLIB 7.1
@
text
@d3 1
a3 1
  WCSLIB 7.1 - an implementation of the FITS WCS standard.
d25 1
a25 1
  $Id: tsph.c,v 6.4.1.2 2019/12/31 03:28:29 mcalabre Exp mcalabre $
@


7.1.1.1
log
@WCSLIB 7.1 development branch.
@
text
@d25 1
a25 1
  $Id: tsph.c,v 7.1 2019/12/31 13:25:19 mcalabre Exp $
@


6.4
log
@WCSLIB 6.4
@
text
@d3 2
a4 2
  WCSLIB 6.4 - an implementation of the FITS WCS standard.
  Copyright (C) 1995-2019, Mark Calabretta
d25 1
a25 1
  $Id: tsph.c,v 6.3.1.1 2019/07/12 07:34:37 mcalabre Exp mcalabre $
@


6.4.1.1
log
@WCSLIB 6.4 development branch.
@
text
@d25 1
a25 1
  $Id: tsph.c,v 6.4 2019/08/15 09:30:18 mcalabre Exp $
@


6.4.1.2
log
@Updated date in copyright notice.
@
text
@d4 1
a4 1
  Copyright (C) 1995-2020, Mark Calabretta
d25 1
a25 1
  $Id: tsph.c,v 6.4.1.1 2019/08/15 09:31:29 mcalabre Exp mcalabre $
@


6.3
log
@WCSLIB 6.3
@
text
@d3 1
a3 1
  WCSLIB 6.3 - an implementation of the FITS WCS standard.
d25 1
a25 1
  $Id: tsph.c,v 6.2.1.2 2019/05/10 02:01:28 mcalabre Exp mcalabre $
@


6.3.1.1
log
@WCSLIB 6.3 development branch.
@
text
@d25 1
a25 1
  $Id: tsph.c,v 6.3 2019/07/12 07:33:39 mcalabre Exp $
@


6.2
log
@WCSLIB 6.2
@
text
@d3 2
a4 2
  WCSLIB 6.2 - an implementation of the FITS WCS standard.
  Copyright (C) 1995-2018, Mark Calabretta
d25 1
a25 1
  $Id: tsph.c,v 6.1.1.1 2018/10/19 08:36:15 mcalabre Exp mcalabre $
@


6.2.1.1
log
@WCSLIB 6.2 development branch.
@
text
@d25 1
a25 1
  $Id: tsph.c,v 6.2 2018/10/20 10:03:14 mcalabre Exp $
@


6.2.1.2
log
@Updated date in copyright notice.
@
text
@d4 1
a4 1
  Copyright (C) 1995-2019, Mark Calabretta
d25 1
a25 1
  $Id: tsph.c,v 6.2.1.1 2018/10/20 10:04:15 mcalabre Exp mcalabre $
@


6.1
log
@WCSLIB 6.1
@
text
@d3 1
a3 1
  WCSLIB 6.1 - an implementation of the FITS WCS standard.
d25 1
a25 1
  $Id: tsph.c,v 5.20.1.1 2018/10/05 05:33:33 mcalabre Exp mcalabre $
@


6.1.1.1
log
@WCSLIB 6.1 development branch.
@
text
@d25 1
a25 1
  $Id: tsph.c,v 6.1 2018/10/19 08:35:17 mcalabre Exp $
@


5.20
log
@WCSLIB 5.20
@
text
@d3 1
a3 1
  WCSLIB 5.20 - an implementation of the FITS WCS standard.
d25 1
a25 1
  $Id: tsph.c,v 5.19.1.1 2018/07/26 15:41:41 mcalabre Exp mcalabre $
@


5.20.1.1
log
@WCSLIB 5.20 development branch.
@
text
@d25 1
a25 1
  $Id: tsph.c,v 5.20 2018/10/05 05:32:41 mcalabre Exp $
@


5.19
log
@WCSLIB 5.19
@
text
@d3 1
a3 1
  WCSLIB 5.19 - an implementation of the FITS WCS standard.
d25 1
a25 1
  $Id: tsph.c,v 5.18.1.1 2018/01/10 08:33:04 mcalabre Exp mcalabre $
@


5.19.1.1
log
@WCSLIB 5.19 development branch.
@
text
@d25 1
a25 1
  $Id: tsph.c,v 5.19 2018/07/26 15:37:05 mcalabre Exp $
@


5.18
log
@WCSLIB 5.18
@
text
@d3 1
a3 1
  WCSLIB 5.18 - an implementation of the FITS WCS standard.
d25 1
a25 1
  $Id: tsph.c,v 5.17.1.2 2018/01/10 08:26:04 mcalabre Exp mcalabre $
@


5.18.1.1
log
@WCSLIB 5.18 development branch.
@
text
@d25 1
a25 1
  $Id: tsph.c,v 5.18 2018/01/10 08:32:14 mcalabre Exp $
@


5.17
log
@WCSLIB 5.17
@
text
@d3 2
a4 2
  WCSLIB 5.17 - an implementation of the FITS WCS standard.
  Copyright (C) 1995-2017, Mark Calabretta
d25 1
a25 1
  $Id: tsph.c,v 5.16.1.1 2017/01/15 04:29:01 mcalabre Exp mcalabre $
@


5.17.1.1
log
@WCSLIB 5.17 development branch.
@
text
@d25 1
a25 1
  $Id: tsph.c,v 5.17 2017/09/18 08:44:24 mcalabre Exp $
@


5.17.1.2
log
@Updated date in copyright notice.
@
text
@d4 1
a4 1
  Copyright (C) 1995-2018, Mark Calabretta
d25 1
a25 1
  $Id: tsph.c,v 5.17.1.1 2017/09/18 08:46:00 mcalabre Exp mcalabre $
@


5.16
log
@WCSLIB 5.16
@
text
@d3 1
a3 1
  WCSLIB 5.16 - an implementation of the FITS WCS standard.
d25 1
a25 1
  $Id: tsph.c,v 5.15.1.2 2017/01/15 04:14:22 mcalabre Exp mcalabre $
@


5.16.1.1
log
@WCSLIB 5.16 development branch.
@
text
@d25 1
a25 1
  $Id: tsph.c,v 5.16 2017/01/15 04:25:02 mcalabre Exp $
@


5.15
log
@WCSLIB 5.15
@
text
@d3 2
a4 2
  WCSLIB 5.15 - an implementation of the FITS WCS standard.
  Copyright (C) 1995-2016, Mark Calabretta
d25 1
a25 1
  $Id: tsph.c,v 5.14.1.1 2016/02/07 10:52:46 mcalabre Exp mcalabre $
@


5.15.1.1
log
@WCSLIB 5.15 development branch.
@
text
@d25 1
a25 1
  $Id: tsph.c,v 5.15 2016/04/05 12:55:11 mcalabre Exp $
@


5.15.1.2
log
@Updated date in copyright notice.
@
text
@d4 1
a4 1
  Copyright (C) 1995-2017, Mark Calabretta
d25 1
a25 1
  $Id: tsph.c,v 5.15.1.1 2016/04/05 12:58:37 mcalabre Exp mcalabre $
@


5.14
log
@WCSLIB 5.14
@
text
@d3 1
a3 1
  WCSLIB 5.14 - an implementation of the FITS WCS standard.
d25 1
a25 1
  $Id: tsph.c,v 5.13.1.1 2016/01/26 08:54:34 mcalabre Exp mcalabre $
@


5.14.1.1
log
@WCSLIB 5.14 development branch.
@
text
@d25 1
a25 1
  $Id: tsph.c,v 5.14 2016/02/07 10:49:32 mcalabre Exp $
@


5.13
log
@WCSLIB 5.13
@
text
@d3 1
a3 1
  WCSLIB 5.13 - an implementation of the FITS WCS standard.
d25 1
a25 1
  $Id: tsph.c,v 5.12.1.2 2016/01/25 05:17:40 mcalabre Exp mcalabre $
@


5.13.1.1
log
@WCSLIB 5.13 development branch.
@
text
@d25 1
a25 1
  $Id: tsph.c,v 5.13 2016/01/26 08:51:15 mcalabre Exp $
@


5.12
log
@WCSLIB 5.12
@
text
@d3 2
a4 2
  WCSLIB 5.12 - an implementation of the FITS WCS standard.
  Copyright (C) 1995-2015, Mark Calabretta
d25 1
a25 1
  $Id: tsph.c,v 5.11.1.1 2015/10/18 09:16:29 mcalabre Exp mcalabre $
@


5.12.1.1
log
@WCSLIB 5.12 development branch.
@
text
@d25 1
a25 1
  $Id: tsph.c,v 5.12 2015/11/15 02:13:01 mcalabre Exp $
@


5.12.1.2
log
@Updated date in copyright notice.
@
text
@d4 1
a4 1
  Copyright (C) 1995-2016, Mark Calabretta
d25 1
a25 1
  $Id: tsph.c,v 5.12.1.1 2015/11/15 02:16:16 mcalabre Exp mcalabre $
@


5.11
log
@WCSLIB 5.11
@
text
@d3 1
a3 1
  WCSLIB 5.11 - an implementation of the FITS WCS standard.
d25 1
a25 1
  $Id: tsph.c,v 5.10.1.1 2015/10/09 08:22:37 mcalabre Exp mcalabre $
@


5.11.1.1
log
@WCSLIB 5.11 development branch.
@
text
@d25 1
a25 1
  $Id: tsph.c,v 5.11 2015/10/18 09:13:06 mcalabre Exp $
@


5.10
log
@WCSLIB 5.10
@
text
@d3 1
a3 1
  WCSLIB 5.10 - an implementation of the FITS WCS standard.
d25 1
a25 1
  $Id: tsph.c,v 5.9.1.1 2015/07/21 09:28:10 mcalabre Exp mcalabre $
@


5.10.1.1
log
@WCSLIB 5.10 development branch.
@
text
@d25 1
a25 1
  $Id: tsph.c,v 5.10 2015/10/09 08:19:16 mcalabre Exp $
@


5.9
log
@WCSLIB 5.9
@
text
@d3 1
a3 1
  WCSLIB 5.9 - an implementation of the FITS WCS standard.
d25 1
a25 1
  $Id: tsph.c,v 5.8.1.1 2015/07/08 11:07:20 mcalabre Exp mcalabre $
@


5.9.1.1
log
@WCSLIB 5.9 development branch.
@
text
@d25 1
a25 1
  $Id: tsph.c,v 5.9 2015/07/21 09:20:03 mcalabre Exp $
@


5.8
log
@WCSLIB 5.8
@
text
@d3 1
a3 1
  WCSLIB 5.8 - an implementation of the FITS WCS standard.
d25 1
a25 1
  $Id: tsph.c,v 5.7.1.1 2015/06/29 02:47:25 mcalabre Exp mcalabre $
@


5.8.1.1
log
@WCSLIB 5.8 development branch.
@
text
@d25 1
a25 1
  $Id: tsph.c,v 5.8 2015/07/08 11:04:01 mcalabre Exp $
@


5.7
log
@WCSLIB 5.7
@
text
@d3 1
a3 1
  WCSLIB 5.7 - an implementation of the FITS WCS standard.
d25 1
a25 1
  $Id: tsph.c,v 5.6.1.3 2015/06/28 07:42:46 mcalabre Exp mcalabre $
@


5.7.1.1
log
@WCSLIB 5.7 development branch.
@
text
@d25 1
a25 1
  $Id: tsph.c,v 5.7 2015/06/29 02:44:17 mcalabre Exp $
@


5.6
log
@WCSLIB 5.6
@
text
@d3 1
a3 1
  WCSLIB 5.6 - an implementation of the FITS WCS standard.
d25 1
a25 1
  $Id: tsph.c,v 5.5.1.1 2015/05/05 13:21:02 mcalabre Exp mcalabre $
d43 4
a46 3
  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;
a53 11
  /* 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]);

d59 11
a69 3
  for (lat = 90; lat >= -90; lat--) {
    lat1 = (double)lat;
    coslat = cosd(lat1);
d71 66
a136 2
    for (j = 0, lng = -180; lng <= 180; lng++, j++) {
      lng1[j] = (double)lng;
d139 58
a196 18
    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]);
       }
d213 1
a213 1
      if (dlng > 180.0) dlng = fabs(dlng-360.0);
d215 1
a215 1
      dlat = fabs(lat2[0]-lat1);
@


5.6.1.1
log
@WCSLIB 5.6 development branch.
@
text
@d25 1
a25 1
  $Id: tsph.c,v 5.6 2015/06/14 07:11:25 mcalabre Exp $
@


5.6.1.2
log
@Added torture-tests for the special-case transformations.
@
text
@d25 1
a25 1
  $Id: tsph.c,v 5.6.1.1 2015/06/14 07:14:46 mcalabre Exp mcalabre $
d43 1
a43 1
  int   j, k, lat, lng, nFail = 0;
d53 11
d69 6
a74 10
  for (k = 0; k < 3; k++) {
    /* Set reference angles. */
    eul[0] =  90.0;
    eul[2] = -90.0;

    if (k < 2) {
      /* Special-case transformations. */
      eul[1] = (k==0) ? 0.0 : 180.0;
    } else {
      eul[1] =  30.0;
d77 18
a94 65
    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]);

    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);

      /* Exact results are expected for special-case transformations. */
      if (k == 0) {
        /* Identity transformation. */
        for (j = 0; j <= 360; j++) {
          if (phi[j] != lng1[j] || theta[j] != lat1) {
            nFail++;
            printf("   Error: lng1 =%20.15f  lat1 =%20.15f\n",
                   lng1[j], lat1);
            printf("           phi =%20.15f theta =%20.15f\n",
                   phi[j], theta[j]);
          }
        }

      } else if (k == 1) {
        /* Antipodal transformation. */
        for (j = 0; j <= 360; j++) {
          if (phi[j] != -lng1[j] || theta[j] != -lat1) {
            nFail++;
            printf("   Error: lng1 =%20.15f  lat1 =%20.15f\n",
                   lng1[j], lat1);
            printf("           phi =%20.15f theta =%20.15f\n",
                   phi[j], theta[j]);
          }
        }
      }

      /* Do another round trip, just for good measure. */
      sphs2x(eul, 361, 0, 1, 1, lng2, lat2, phi, theta);
      sphx2s(eul, 361, 0, 1, 1, phi, theta, lng2, lat2);

      /* Check closure. */
      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]);
         }
      }
@


5.6.1.3
log
@Added a new test for the handling of non-unit vector strides.
@
text
@d25 1
a25 1
  $Id: tsph.c,v 5.6.1.2 2015/06/27 06:24:11 mcalabre Exp mcalabre $
d44 2
a45 3
  double cel1[181][2], cel2[181][2], coslat, dlat, dlatmx, dlng, dlngmx,
         eul[5], lng1[361], lng2[361], lat1, lat2[361], ntv[181][2], phi[361],
         theta[361], zeta;
a76 1
    /* Test points at constant latitude. */
a135 60

    /* Test vector strides using points in spirals from south to north. */
    for (lng = 0; lng <= 360; lng++) {
      for (j = 0, lat = -90; lat <= 90; j++, lat++) {
        cel1[j][0] = (double)((lng+j)%360 - 180);
        cel1[j][1] = (double)lat;
      }

      sphs2x(eul, 181, 0, 2, 2, &(cel1[0][0]), &(cel1[0][1]),
             &(ntv[0][0]), &(ntv[0][1]));
      sphx2s(eul, 181, 0, 2, 2, &(ntv[0][0]), &(ntv[0][1]),
             &(cel2[0][0]), &(cel2[0][1]));

      /* Exact results are expected for special-case transformations. */
      if (k == 0) {
        /* Identity transformation. */
        for (j = 0; j <= 180; j++) {
          if (ntv[j][0] != cel1[j][0] || ntv[j][1] != cel1[j][1]) {
            nFail++;
            printf("   Error: lng1 =%20.15f  lat1 =%20.15f\n",
                   cel1[j][0], cel1[j][1]);
            printf("           phi =%20.15f theta =%20.15f\n",
                   ntv[j][0], ntv[j][1]);
          }
        }

      } else if (k == 1) {
        /* Antipodal transformation. */
        for (j = 0; j <= 180; j++) {
          if (ntv[j][0] != -cel1[j][0] || ntv[j][1] != -cel1[j][1]) {
            nFail++;
            printf("   Error: lng1 =%20.15f  lat1 =%20.15f\n",
                   cel1[j][0], cel1[j][1]);
            printf("           phi =%20.15f theta =%20.15f\n",
                   ntv[j][0], ntv[j][1]);
          }
        }
      }

      /* Check closure. */
      for (j = 0; j <= 180; j++) {
        dlng = fabs(cel2[j][0] - cel1[j][0]);
        if (dlng > 180.0) dlng = fabs(dlng - 360.0);
        dlng *= cosd(cel1[j][1]);
        dlat = fabs(cel2[j][1] - cel1[j][1]);

        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",
            cel1[j][0], cel1[j][1]);
          printf("           phi =%20.15f theta =%20.15f\n",
            ntv[j][0], ntv[j][1]);
          printf("          lng2 =%20.15f  lat2 =%20.15f\n",
            cel2[j][0], cel2[j][1]);
         }
      }
    }
d151 1
a151 1
      if (dlng > 180.0) dlng = fabs(dlng - 360.0);
d153 1
a153 1
      dlat = fabs(lat2[0] - lat1);
@


5.5
log
@WCSLIB 5.5
@
text
@d3 1
a3 1
  WCSLIB 5.5 - an implementation of the FITS WCS standard.
d25 1
a25 1
  $Id: tsph.c,v 5.4.1.1 2015/04/21 14:44:29 mcalabre Exp mcalabre $
@


5.5.1.1
log
@WCSLIB 5.5 development branch.
@
text
@d25 1
a25 1
  $Id: tsph.c,v 5.5 2015/05/05 13:16:32 mcalabre Exp $
@


5.4
log
@WCSLIB 5.4
@
text
@d3 1
a3 1
  WCSLIB 5.4 - an implementation of the FITS WCS standard.
d25 1
a25 1
  $Id: tsph.c,v 5.3.1.1 2015/04/21 02:54:03 mcalabre Exp mcalabre $
@


5.4.1.1
log
@WCSLIB 5.4 development branch.
@
text
@d25 1
a25 1
  $Id: tsph.c,v 5.4 2015/04/21 14:41:06 mcalabre Exp $
@


5.3
log
@WCSLIB 5.3
@
text
@d3 1
a3 1
  WCSLIB 5.3 - an implementation of the FITS WCS standard.
d25 1
a25 1
  $Id: tsph.c,v 5.2.1.1 2015/04/15 12:39:16 mcalabre Exp mcalabre $
@


5.3.1.1
log
@WCSLIB 5.3 development branch.
@
text
@d25 1
a25 1
  $Id: tsph.c,v 5.3 2015/04/21 02:50:52 mcalabre Exp $
@


5.2
log
@WCSLIB 5.2
@
text
@d3 1
a3 1
  WCSLIB 5.2 - an implementation of the FITS WCS standard.
d25 1
a25 1
  $Id: tsph.c,v 5.1.1.1 2015/04/07 11:01:11 mcalabre Exp mcalabre $
@


5.2.1.1
log
@WCSLIB 5.2 development branch.
@
text
@d25 1
a25 1
  $Id: tsph.c,v 5.2 2015/04/15 12:35:08 mcalabre Exp $
@


5.1
log
@WCSLIB 5.1
@
text
@d3 1
a3 1
  WCSLIB 5.1 - an implementation of the FITS WCS standard.
d25 1
a25 1
  $Id: tsph.c,v 5.0.1.1 2015/04/05 12:28:02 mcalabre Exp mcalabre $
@


5.1.1.1
log
@WCSLIB 5.1 development branch.
@
text
@d25 1
a25 1
  $Id: tsph.c,v 5.1 2015/04/07 10:56:38 mcalabre Exp $
@


5.0
log
@WCSLIB 5.0
@
text
@d3 1
a3 1
  WCSLIB 5.0 - an implementation of the FITS WCS standard.
d25 1
a25 1
  $Id: tsph.c,v 4.25.1.2 2015/01/06 01:01:52 mcalabre Exp mcalabre $
@


5.0.1.1
log
@WCSLIB 5.0 development branch.
@
text
@d25 1
a25 1
  $Id: tsph.c,v 5.0 2015/04/05 12:25:01 mcalabre Exp $
@


4.25
log
@WCSLIB 4.25
@
text
@d3 2
a4 2
  WCSLIB 4.25 - an implementation of the FITS WCS standard.
  Copyright (C) 1995-2014, Mark Calabretta
d25 1
a25 1
  $Id: tsph.c,v 4.24.1.1 2014/09/18 15:28:11 mcalabre Exp mcalabre $
@


4.25.1.1
log
@WCSLIB 4.25 development branch.
@
text
@d25 1
a25 1
  $Id: tsph.c,v 4.25 2014/12/14 14:29:37 mcalabre Exp $
@


4.25.1.2
log
@Updated date in copyright notice.
@
text
@d4 1
a4 1
  Copyright (C) 1995-2015, Mark Calabretta
d25 1
a25 1
  $Id: tsph.c,v 4.25.1.1 2014/12/14 14:32:46 mcalabre Exp mcalabre $
@


4.24
log
@WCSLIB 4.24
@
text
@d3 1
a3 1
  WCSLIB 4.24 - an implementation of the FITS WCS standard.
d25 1
a25 1
  $Id: tsph.c,v 4.23.1.1 2014/05/13 05:53:51 mcalabre Exp mcalabre $
@


4.24.1.1
log
@WCSLIB 4.24 development branch.
@
text
@d25 1
a25 1
  $Id: tsph.c,v 4.24 2014/09/18 15:25:01 mcalabre Exp $
@


4.23
log
@WCSLIB 4.23
@
text
@d3 1
a3 1
  WCSLIB 4.23 - an implementation of the FITS WCS standard.
d25 1
a25 1
  $Id: tsph.c,v 4.22.1.1 2014/04/12 15:06:33 mcalabre Exp mcalabre $
@


4.23.1.1
log
@WCSLIB 4.23 development branch.
@
text
@d25 1
a25 1
  $Id: tsph.c,v 4.23 2014/05/13 05:50:52 mcalabre Exp $
@


4.22
log
@WCSLIB 4.22
@
text
@d3 1
a3 1
  WCSLIB 4.22 - an implementation of the FITS WCS standard.
d25 1
a25 1
  $Id: tsph.c,v 4.21.1.1 2014/03/24 05:15:29 mcalabre Exp mcalabre $
@


4.22.1.1
log
@WCSLIB 4.22 development branch.
@
text
@d25 1
a25 1
  $Id: tsph.c,v 4.22 2014/04/12 15:03:53 mcalabre Exp $
@


4.21
log
@WCSLIB 4.21
@
text
@d3 1
a3 1
  WCSLIB 4.21 - an implementation of the FITS WCS standard.
d25 1
a25 1
  $Id: tsph.c,v 4.20.1.2 2014/03/21 06:26:03 mcalabre Exp mcalabre $
@


4.21.1.1
log
@WCSLIB 4.21 development branch.
@
text
@d25 1
a25 1
  $Id: tsph.c,v 4.21 2014/03/24 05:12:28 mcalabre Exp $
@


4.20
log
@WCSLIB 4.20
@
text
@d3 2
a4 2
  WCSLIB 4.20 - an implementation of the FITS WCS standard.
  Copyright (C) 1995-2013, Mark Calabretta
d25 1
a25 1
  $Id: tsph.c,v 4.19.1.1 2013/09/29 14:20:40 mcalabre Exp mcalabre $
@


4.20.1.1
log
@WCSLIB 4.20 development branch.
@
text
@d25 1
a25 1
  $Id: tsph.c,v 4.20 2013/12/18 05:42:50 mcalabre Exp $
@


4.20.1.2
log
@Updated date in copyright notice.
@
text
@d4 1
a4 1
  Copyright (C) 1995-2014, Mark Calabretta
d25 1
a25 1
  $Id: tsph.c,v 4.20.1.1 2013/12/18 05:46:56 mcalabre Exp mcalabre $
@


4.19
log
@WCSLIB 4.19
@
text
@d3 1
a3 1
  WCSLIB 4.19 - an implementation of the FITS WCS standard.
d25 1
a25 1
  $Id: tsph.c,v 4.18.1.1 2013/07/13 10:02:38 mcalabre Exp mcalabre $
@


4.19.1.1
log
@WCSLIB 4.19 development branch.
@
text
@d25 1
a25 1
  $Id: tsph.c,v 4.19 2013/09/29 14:17:52 mcalabre Exp $
@


4.18
log
@WCSLIB 4.18
@
text
@d3 1
a3 1
  WCSLIB 4.18 - an implementation of the FITS WCS standard.
d25 1
a25 1
  $Id: tsph.c,v 4.17.1.1 2013/01/29 05:32:33 cal103 Exp cal103 $
@


4.18.1.1
log
@WCSLIB 4.18 development branch.
@
text
@d25 1
a25 1
  $Id: tsph.c,v 4.18 2013/07/13 10:00:05 mcalabre Exp $
@


4.17
log
@WCSLIB 4.17
@
text
@d3 1
a3 1
  WCSLIB 4.17 - an implementation of the FITS WCS standard.
d25 1
a25 1
  $Id: tsph.c,v 4.16.1.2 2013/01/29 05:10:40 cal103 Exp cal103 $
@


4.17.1.1
log
@WCSLIB 4.17 development branch.
@
text
@d25 1
a25 1
  $Id: tsph.c,v 4.17 2013/01/29 05:29:21 cal103 Exp $
@


4.16
log
@WCSLIB 4.16
@
text
@d3 2
a4 2
  WCSLIB 4.16 - an implementation of the FITS WCS standard.
  Copyright (C) 1995-2012, Mark Calabretta
d25 1
a25 1
  $Id: tsph.c,v 4.15.1.1 2012/09/26 14:27:52 cal103 Exp cal103 $
@


4.16.1.1
log
@WCSLIB 4.16 development branch.
@
text
@d25 1
a25 1
  $Id: tsph.c,v 4.16 2012/11/07 04:42:45 cal103 Exp $
@


4.16.1.2
log
@Updated date in copyright notice.
@
text
@d4 1
a4 1
  Copyright (C) 1995-2013, Mark Calabretta
d25 1
a25 1
  $Id: tsph.c,v 4.16.1.1 2012/11/07 04:45:57 cal103 Exp cal103 $
@


4.15
log
@WCSLIB 4.15
@
text
@d3 1
a3 1
  WCSLIB 4.15 - an implementation of the FITS WCS standard.
d25 1
a25 1
  $Id: tsph.c,v 4.14.1.1 2012/07/13 10:04:50 cal103 Exp cal103 $
@


4.15.1.1
log
@WCSLIB 4.15 development branch.
@
text
@d25 1
a25 1
  $Id: tsph.c,v 4.15 2012/09/26 14:26:06 cal103 Exp $
@


4.14
log
@WCSLIB 4.14
@
text
@d3 1
a3 1
  WCSLIB 4.14 - an implementation of the FITS WCS standard.
d25 1
a25 1
  $Id: tsph.c,v 4.13.1.2 2012/07/13 03:37:00 cal103 Exp cal103 $
@


4.14.1.1
log
@WCSLIB 4.14 development branch.
@
text
@d25 1
a25 1
  $Id: tsph.c,v 4.14 2012/07/13 10:02:32 cal103 Exp $
@


4.13
log
@WCSLIB 4.13
@
text
@d3 1
a3 1
  WCSLIB 4.13 - an implementation of the FITS WCS standard.
d19 1
a19 1
  along with WCSLIB.  If not, see <http://www.gnu.org/licenses/>.
d21 5
a25 11
  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 4.12.1.1 2012/02/29 07:59:11 cal103 Exp cal103 $
@


4.13.1.1
log
@WCSLIB 4.13 development branch.
@
text
@d31 1
a31 1
  $Id: tsph.c,v 4.13 2012/03/14 07:39:30 cal103 Exp $
@


4.13.1.2
log
@Changed contact details.
@
text
@d19 1
a19 1
  along with WCSLIB.  If not, see http://www.gnu.org/licenses.
d21 11
a31 5
  Direct correspondence concerning WCSLIB to mark@@calabretta.id.au

  Author: Mark Calabretta, Australia Telescope National Facility, CSIRO.
  http://www.atnf.csiro.au/people/Mark.Calabretta
  $Id: tsph.c,v 4.13.1.1 2012/03/14 07:40:38 cal103 Exp cal103 $
@


4.12
log
@WCSLIB 4.12
@
text
@d3 1
a3 1
  WCSLIB 4.12 - an implementation of the FITS WCS standard.
d31 1
a31 1
  $Id: tsph.c,v 4.11.1.1 2012/02/20 23:31:13 cal103 Exp cal103 $
@


4.12.1.1
log
@WCSLIB 4.12 development branch.
@
text
@d31 1
a31 1
  $Id: tsph.c,v 4.12 2012/02/29 07:57:57 cal103 Exp $
@


4.11
log
@WCSLIB 4.11
@
text
@d3 1
a3 1
  WCSLIB 4.11 - an implementation of the FITS WCS standard.
d31 1
a31 1
  $Id: tsph.c,v 4.10.1.1 2012/02/05 23:42:47 cal103 Exp cal103 $
@


4.11.1.1
log
@WCSLIB 4.11 development branch.
@
text
@d31 1
a31 1
  $Id: tsph.c,v 4.11 2012/02/20 23:30:02 cal103 Exp $
@


4.10
log
@WCSLIB 4.10
@
text
@d3 1
a3 1
  WCSLIB 4.10 - an implementation of the FITS WCS standard.
d31 1
a31 1
  $Id: tsph.c,v 4.9.1.1 2012/01/24 05:41:46 cal103 Exp cal103 $
@


4.10.1.1
log
@WCSLIB 4.10 development branch.
@
text
@d31 1
a31 1
  $Id: tsph.c,v 4.10 2012/02/05 23:41:44 cal103 Exp $
@


4.9
log
@WCSLIB 4.9
@
text
@d3 1
a3 1
  WCSLIB 4.9 - an implementation of the FITS WCS standard.
d31 1
a31 1
  $Id: tsph.c,v 4.8.1.2 2012/01/24 05:23:30 cal103 Exp cal103 $
@


4.9.1.1
log
@WCSLIB 4.9 development branch.
@
text
@d31 1
a31 1
  $Id: tsph.c,v 4.9 2012/01/24 05:40:29 cal103 Exp $
@


4.8
log
@WCSLIB 4.8
@
text
@d3 2
a4 2
  WCSLIB 4.8 - an implementation of the FITS WCS standard.
  Copyright (C) 1995-2011, Mark Calabretta
d31 1
a31 1
  $Id: tsph.c,v 4.7.1.2 2011/08/12 03:41:29 cal103 Exp cal103 $
@


4.8.1.1
log
@WCSLIB 4.8 development branch.
@
text
@d31 1
a31 1
  $Id: tsph.c,v 4.8 2011/08/15 08:05:54 cal103 Exp $
@


4.8.1.2
log
@Updated date in copyright notice.
@
text
@d4 1
a4 1
  Copyright (C) 1995-2012, Mark Calabretta
d31 1
a31 1
  $Id: tsph.c,v 4.8.1.1 2011/08/15 08:07:06 cal103 Exp cal103 $
@


4.7
log
@WCSLIB 4.7
@
text
@d3 1
a3 1
  WCSLIB 4.7 - an implementation of the FITS WCS standard.
d31 1
a31 1
  $Id: tsph.c,v 4.6.1.2 2011/01/14 06:33:44 cal103 Exp cal103 $
d49 1
a49 1
  int   j, lat, lng;
a58 1

d70 1
a70 1
  printf ("Reporting tolerance:%8.1E degrees of arc.\n", tol);
d96 1
a123 1

d125 1
d136 10
a145 1
  printf("\nMaximum residual: lng%10.3E   lat%10.3E\n", dlngmx, dlatmx);
d147 1
a147 1
  return 0;
@


4.7.1.1
log
@WCSLIB 4.7 development branch.
@
text
@d31 1
a31 1
  $Id: tsph.c,v 4.7 2011/02/07 07:03:42 cal103 Exp $
@


4.7.1.2
log
@Report PASS/FAIL and return the number of failures.
@
text
@d31 1
a31 1
  $Id: tsph.c,v 4.7.1.1 2011/02/07 07:04:23 cal103 Exp cal103 $
d49 1
a49 1
  int   j, lat, lng, nFail = 0;
d59 1
d71 1
a71 1
  printf ("Reporting tolerance:%8.1e degrees of arc.\n", tol);
a96 1
        nFail++;
d124 1
a125 1
        nFail++;
d136 1
a136 10
  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");
  }
d138 1
a138 1
  return nFail;
@


4.6
log
@WCSLIB 4.6
@
text
@d3 2
a4 2
  WCSLIB 4.6 - an implementation of the FITS WCS standard.
  Copyright (C) 1995-2010, Mark Calabretta
d31 1
a31 1
  $Id: tsph.c,v 4.5.1.1 2010/07/16 07:05:32 cal103 Exp cal103 $
@


4.6.1.1
log
@WCSLIB 4.6 development branch.
@
text
@d31 1
a31 1
  $Id: tsph.c,v 4.6 2010/11/16 06:15:31 cal103 Exp $
@


4.6.1.2
log
@Updated date in copyright notice.
@
text
@d4 1
a4 1
  Copyright (C) 1995-2011, Mark Calabretta
d31 1
a31 1
  $Id: tsph.c,v 4.6.1.1 2010/11/16 06:16:19 cal103 Exp cal103 $
@


4.5
log
@WCSLIB 4.5
@
text
@d3 1
a3 1
  WCSLIB 4.5 - an implementation of the FITS WCS standard.
d31 1
a31 1
  $Id: tsph.c,v 4.4.1.2 2010/01/19 03:44:00 cal103 Exp cal103 $
@


4.5.1.1
log
@WCSLIB 4.5 development branch.
@
text
@d31 1
a31 1
  $Id: tsph.c,v 4.5 2010/07/16 07:01:26 cal103 Exp $
@


4.4
log
@WCSLIB 4.4
@
text
@d3 2
a4 2
  WCSLIB 4.4 - an implementation of the FITS WCS standard.
  Copyright (C) 1995-2009, Mark Calabretta
d31 1
a31 1
  $Id: tsph.c,v 4.3.1.3 2009/07/22 06:37:43 cal103 Exp cal103 $
@


4.4.1.1
log
@WCSLIB 4.4 development branch.
@
text
@d31 1
a31 1
  $Id: tsph.c,v 4.4 2009/08/06 07:45:31 cal103 Exp $
@


4.4.1.2
log
@Updated date in copyright notice.
@
text
@d4 1
a4 1
  Copyright (C) 1995-2010, Mark Calabretta
d31 1
a31 1
  $Id: tsph.c,v 4.4.1.1 2009/08/10 08:54:26 cal103 Exp cal103 $
@


4.3
log
@WCSLIB 4.3
@
text
@d3 2
a4 2
    WCSLIB 4.3 - an implementation of the FITS WCS standard.
    Copyright (C) 1995-2007, Mark Calabretta
d6 1
a6 1
    This file is part of WCSLIB.
d8 24
a31 24
    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 4.2.1.2 2007/12/03 05:12:59 cal103 Exp $
d34 1
a34 1
*   tsph tests the spherical coordinate transformation routines for closure.
d49 4
a52 4
   int   j, lat, lng;
   double coslat, lng1[361], lng2[361], eul[5], lat1, lat2[361], phi[361],
          theta[361], zeta;
   const double tol = 1.0e-12;
d55 3
a57 3
   printf(
   "Testing closure of WCSLIB coordinate transformation routines (tsph.c)\n"
   "---------------------------------------------------------------------\n");
d60 7
a66 7
   /* 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]);
d68 2
a69 2
   eul[3] = cosd(eul[1]);
   eul[4] = sind(eul[1]);
d71 1
a71 1
   printf ("Reporting tolerance:%8.1E degrees of arc.\n", tol);
d73 2
a74 3
   for (lat = 90; lat >= -90; lat--) {
      lat1 = (double)lat;
      coslat = cosd(lat1);
d76 36
a111 3
      for (j = 0, lng = -180; lng <= 180; lng++, j++) {
         lng1[j] = (double)lng;
      }
d113 2
a114 2
      sphs2x(eul, 361, 1, 1, 1, lng1, &lat1, phi, theta);
      sphx2s(eul, 361, 0, 1, 1, phi, theta, lng2, lat2);
d116 4
a119 13
      for (j = 0; j <= 360; j++) {
         if (fabs(lat2[j]-lat1) > tol ||
            (fabs(lng2[j]-lng1[j])*coslat > tol &&
             fabs(fabs(lng2[j]-lng1[j])-360.0)*coslat > tol)) {
            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]);
         }
      }
   }
d121 2
a123 21
   /* 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);

         if (fabs(lat2[0]-lat1) > tol ||
            (fabs(lng2[0]-lng1[0])*coslat > tol &&
             fabs(fabs(lng2[0]-lng1[0])-360.0)*coslat > tol)) {
            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]);
         }
d125 4
a128 2
         zeta /= 10.0;
         lng1[0] += 30.0;
a129 1
   }
d131 8
a138 1
   return 0;
@


4.3.1.1
log
@WCSLIB 4.3 development branch.
@
text
@d3 2
a4 2
    WCSLIB 4.4 - an implementation of the FITS WCS standard.
    Copyright (C) 1995-2008, Mark Calabretta
d31 1
a31 1
    $Id: tsph.c,v 4.3 2007/12/27 05:35:51 cal103 Exp cal103 $
@


4.3.1.2
log
@Report the maximum closure residual.
@
text
@d4 1
a4 1
    Copyright (C) 1995-2009, Mark Calabretta
d31 1
a31 1
    $Id: tsph.c,v 4.3.1.1 2007/12/27 13:24:32 cal103 Exp cal103 $
d50 2
a51 2
   double coslat, dlat, dlatmx, dlng, dlngmx, lng1[361], lng2[361], eul[5],
          lat1, lat2[361], phi[361], theta[361], zeta;
a72 3
   dlngmx = 0.0;
   dlatmx = 0.0;

d85 3
a87 9
         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) {
d110 3
a112 10
         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) {
a125 2
   printf("\nMaximum residual: lng%10.3E   lat%10.3E\n", dlngmx, dlatmx);

@


4.3.1.3
log
@Changed indentation.
@
text
@d3 2
a4 2
  WCSLIB 4.4 - an implementation of the FITS WCS standard.
  Copyright (C) 1995-2009, Mark Calabretta
d6 1
a6 1
  This file is part of WCSLIB.
d8 24
a31 24
  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 4.3.1.2 2009/06/10 01:58:15 cal103 Exp cal103 $
d34 1
a34 1
* tsph tests the spherical coordinate transformation routines for closure.
d49 4
a52 4
  int   j, lat, lng;
  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;
d55 3
a57 3
  printf(
  "Testing closure of WCSLIB coordinate transformation routines (tsph.c)\n"
  "---------------------------------------------------------------------\n");
d60 7
a66 7
  /* 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]);
d68 2
a69 2
  eul[3] = cosd(eul[1]);
  eul[4] = sind(eul[1]);
d71 1
a71 1
  printf ("Reporting tolerance:%8.1E degrees of arc.\n", tol);
d73 2
a74 2
  dlngmx = 0.0;
  dlatmx = 0.0;
d76 3
a78 3
  for (lat = 90; lat >= -90; lat--) {
    lat1 = (double)lat;
    coslat = cosd(lat1);
d80 3
a82 3
    for (j = 0, lng = -180; lng <= 180; lng++, j++) {
      lng1[j] = (double)lng;
    }
d84 2
a85 2
    sphs2x(eul, 361, 1, 1, 1, lng1, &lat1, phi, theta);
    sphx2s(eul, 361, 0, 1, 1, phi, theta, lng2, lat2);
d87 19
a105 5
    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);
a106 2
      if (dlng > dlngmx) dlngmx = dlng;
      if (dlat > dlatmx) dlatmx = dlat;
d108 4
a111 7
      if (dlng > tol || dlat > tol) {
        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]);
       }
    }
  }
d113 2
d116 2
a117 4
  /* Test closure at points close to the pole. */
  for (j = -1; j <= 1; j += 2) {
    zeta = 1.0;
    lng1[0] = -180.0;
d119 4
a122 2
    for (lat = 0; lat < 12; lat++) {
      lat1 = (double)j*(90.0 - zeta);
d124 2
a125 2
      sphs2x(eul, 1, 1, 1, 1, lng1, &lat1, phi, theta);
      sphx2s(eul, 1, 1, 1, 1, phi, theta, lng2, lat2);
a126 4
      dlng = fabs(lng2[0] - lng1[0]);
      if (dlng > 180.0) dlng = fabs(dlng-360.0);
      dlng *= coslat;
      dlat = fabs(lat2[0]-lat1);
d128 8
a135 2
      if (dlng > dlngmx) dlngmx = dlng;
      if (dlat > dlatmx) dlatmx = dlat;
d137 2
a138 5

      if (dlng > tol || dlat > tol) {
        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]);
d140 1
d142 1
a142 6
      zeta /= 10.0;
      lng1[0] += 30.0;
    }
  }

  printf("\nMaximum residual: lng%10.3E   lat%10.3E\n", dlngmx, dlatmx);
d144 1
a144 1
  return 0;
@


4.2
log
@WCSLIB 4.2: identify the name of the program in the output.
@
text
@d2 30
a31 29
*
*   WCSLIB 4.2 - an implementation of the FITS WCS convention.
*   Copyright (C) 1995-2005, Mark Calabretta
*
*   WCSLIB is free software; you can redistribute it and/or modify it under
*   the terms of the GNU General Public License as published by the Free
*   Software Foundation; either version 2 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 General Public License for more
*   details.
*
*   You should have received a copy of the GNU General Public License along
*   with WCSLIB; if not, write to the Free Software Foundation, Inc.,
*   59 Temple Place, Suite 330, Boston, MA  02111-1307, USA
*
*   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 4.1 2005/08/22 07:27:11 cal103 Exp cal103 $
@


4.2.1.1
log
@WCSLIB 4.2 development branch.
@
text
@d3 1
a3 1
*   WCSLIB 4.3 - an implementation of the FITS WCS convention.
d30 1
a30 1
*   $Id: tsph.c,v 4.2 2005/09/22 02:15:15 cal103 Exp cal103 $
@


4.2.1.2
log
@Switched to LGPL 3.0.
@
text
@d2 29
a30 30

    WCSLIB 4.3 - an implementation of the FITS WCS standard.
    Copyright (C) 1995-2007, 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 4.2.1.1 2005/12/05 01:39:15 cal103 Exp cal103 $
@


4.1
log
@WCSLIB 4.1
@
text
@d3 1
a3 1
*   WCSLIB 4.1 - an implementation of the FITS WCS convention.
d30 1
a30 1
*   $Id: tsph.c,v 4.0 2005/02/04 06:25:46 cal103 Exp cal103 $
d54 3
a56 2
   printf("\nTesting closure of WCSLIB coordinate transformation routines\n");
   printf("------------------------------------------------------------\n");
@


4.0
log
@WCSLIB 4.0: changed from LGPL to GPL.
@
text
@d3 1
a3 1
*   WCSLIB 4.0 - an implementation of the FITS WCS convention.
d30 1
a30 1
*   $Id: tsph.c,v 3.6 2004/08/25 05:37:07 cal103 Exp cal103 $
@


3.6
log
@WCSLIB 3.6: removed support for K&R C.
@
text
@d3 2
a4 2
*   WCSLIB 3.6 - an implementation of the FITS WCS convention.
*   Copyright (C) 1995-2004, Mark Calabretta
d6 4
a9 4
*   This program is free software; you can redistribute it and/or modify it
*   under the terms of the GNU General Public License as published by the
*   Free Software Foundation; either version 2 of the License, or (at your
*   option) any later version.
d11 4
a14 4
*   This program 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
*   General Public License for more details.
d17 2
a18 2
*   with this library; if not, write to the Free Software Foundation, Inc.,
*   675 Mass Ave, Cambridge, MA 02139, USA.
d30 1
a30 1
*   $Id: tsph.c,v 3.5 2004/06/28 01:06:11 mcalabre Exp mcalabre $
@


3.5
log
@WCSLIB 3.5
@
text
@d3 1
a3 1
*   WCSLIB 3.5 - an implementation of the FITS WCS convention.
d30 1
a30 1
*   $Id: tsph.c,v 3.4 2004/02/11 00:23:05 mcalabre Exp mcalabre $
a42 6

#ifndef __STDC__
#ifndef const
#define const
#endif
#endif
@


3.4
log
@WCSLIB 3.4
@
text
@d3 1
a3 1
*   WCSLIB 3.4 - an implementation of the FITS WCS convention.
d28 3
a34 1
*   $Id: tsph.c,v 3.3 2003/10/21 08:10:05 mcalabre Exp mcalabre $
@


3.3
log
@WCSLIB 3.3
@
text
@d3 2
a4 2
*   WCSLIB 3.3 - an implementation of the FITS WCS convention.
*   Copyright (C) 1995-2003, Mark Calabretta
d32 1
a32 1
*   $Id: tsph.c,v 3.2 2003/09/09 04:40:16 mcalabre Exp mcalabre $
@


3.2
log
@WCSLIB 3.2
@
text
@d3 1
a3 1
*   WCSLIB 3.2 - an implementation of the FITS WCS convention.
d32 1
a32 1
*   $Id: tsph.c,v 3.1 2003/04/28 04:27:07 mcalabre Exp mcalabre $
@


3.1
log
@WCSLIB 3.1
@
text
@d3 1
a3 1
*   WCSLIB 3.1 - an implementation of the FITS WCS convention.
d32 1
a32 1
*   $Id: tsph.c,v 3.0 2003/04/01 04:16:39 mcalabre Exp mcalabre $
@


3.0
log
@WCSLIB 3.0
@
text
@d3 1
a3 1
*   WCSLIB 3.0 - an implementation of the FITS WCS convention.
d32 1
a32 1
*   $Id: tsph.c,v 2.9 2001/11/15 03:27:22 mcalabre Exp $
@


2.10
log
@Updated date in copyright notice.
@
text
@d3 2
a4 2
*   WCSLIB - an implementation of the FITS WCS proposal.
*   Copyright (C) 1995-2002, Mark Calabretta
d22 4
a25 4
*      Postal address: Dr. Mark Calabretta,
*                      Australia Telescope National Facility,
*                      P.O. Box 76,
*                      Epping, NSW, 2121,
d30 1
a30 2
*   tsph tests the forward and reverse spherical coordinate transformation
*   routines for closure.
d32 1
a32 1
*   $Id: tsph.c,v 2.9 2001/11/15 03:27:22 mcalabre Exp mcalabre $
a37 2
#include "wcstrig.h"
#include "sph.h"
d39 3
d52 3
a54 2
   int   err, j, lat, lng;
   double coslat, lng1, lng2, eul[5], lat1, lat2, phi, theta, zeta;
d73 1
a73 1
   printf ("Reporting tolerance:%6.1g degrees of arc.\n", tol);
d79 3
a81 8
      for (lng = -180; lng <= 180; lng++) {
         lng1 = (double)lng;

         if (err = sphfwd(lng1, lat1, eul, &phi, &theta)) {
            printf ("lng1 =%20.15f  lat1 =%20.15f  Error%3d\n",
               lng1, lat1, err);
            continue;
         }
d83 2
a84 6
         if (err = sphrev(phi, theta, eul, &lng2, &lat2)) {
            printf("lng1 =%20.15f  lat1 =%20.15f\n", lng1, lat1);
            printf(" phi =%20.15f theta =%20.15f  Error%3d\n",
                   phi, theta, err);
            continue;
         }
d86 10
a95 4
         if (fabs(lat2-lat1) > tol || (fabs(lng2-lng1)-360.0)*coslat > tol) {
            printf("Unclosed: lng1 =%20.15f  lat1 =%20.15f\n", lng1, lat1);
            printf("           phi =%20.15f theta =%20.15f\n", phi, theta);
            printf("          lng2 =%20.15f  lat2 =%20.15f\n", lng2, lat2);
d104 1
a104 1
      lng1 = -180.0;
d109 2
a110 12
         if (err = sphfwd(lng1, lat1, eul, &phi, &theta)) {
            printf ("lng1 =%20.15f  lat1 =%20.15f  Error%3d\n",
               lng1, lat1, err);
            continue;
         }

         if (err = sphrev(phi, theta, eul, &lng2, &lat2)) {
            printf("lng1 =%20.15f  lat1 =%20.15f\n", lng1, lat1);
            printf(" phi =%20.15f theta =%20.15f  Error%3d\n",
                   phi, theta, err);
            continue;
         }
d112 9
a120 4
         if (fabs(lat2-lat1) > tol || (fabs(lng2-lng1)-360.0)*coslat > tol) {
            printf("Unclosed: lng1 =%20.15f  lat1 =%20.15f\n", lng1, lat1);
            printf("           phi =%20.15f theta =%20.15f\n", phi, theta);
            printf("          lng2 =%20.15f  lat2 =%20.15f\n", lng2, lat2);
d124 1
a124 1
         lng1 += 30.0;
@


2.9
log
@Changed date in copyright notice.
@
text
@d4 1
a4 1
*   Copyright (C) 1995-2001, Mark Calabretta
d33 1
a33 1
*   $Id: tsph.c,v 2.8 2000/12/04 08:25:58 mcalabre Exp mcalabre $
@


2.8
log
@Eliminated GNU compiler warnings.
@
text
@d4 1
a4 1
*   Copyright (C) 1995-2000, Mark Calabretta
d33 1
a33 1
*   $Id: tsph.c,v 2.8 2000/12/04 06:49:34 mcalabre Exp mcalabre $
d55 2
a56 2
 
 
@


2.7
log
@Updated date in copyright notice.
@
text
@d33 1
a33 1
*   $Id: tsph.c,v 2.6 1999/12/13 07:33:35 mcalabre Exp mcalabre $
d49 1
a49 1
main()
d65 1
a65 1
   printf("\n%s\n%s%10.4lf%10.4lf%10.4lf\n",
d72 1
a72 1
   printf ("Reporting tolerance:%6.1lg degrees of arc.\n", tol);
d82 1
a82 1
            printf ("lng1 =%20.15lf  lat1 =%20.15lf  Error%3d\n",
d88 2
a89 2
            printf("lng1 =%20.15lf  lat1 =%20.15lf\n", lng1, lat1);
            printf(" phi =%20.15lf theta =%20.15lf  Error%3d\n",
d95 3
a97 3
            printf("Unclosed: lng1 =%20.15lf  lat1 =%20.15lf\n", lng1, lat1);
            printf("           phi =%20.15lf theta =%20.15lf\n", phi, theta);
            printf("          lng2 =%20.15lf  lat2 =%20.15lf\n", lng2, lat2);
d112 1
a112 1
            printf ("lng1 =%20.15lf  lat1 =%20.15lf  Error%3d\n",
d118 2
a119 2
            printf("lng1 =%20.15lf  lat1 =%20.15lf\n", lng1, lat1);
            printf(" phi =%20.15lf theta =%20.15lf  Error%3d\n",
d125 3
a127 3
            printf("Unclosed: lng1 =%20.15lf  lat1 =%20.15lf\n", lng1, lat1);
            printf("           phi =%20.15lf theta =%20.15lf\n", phi, theta);
            printf("          lng2 =%20.15lf  lat2 =%20.15lf\n", lng2, lat2);
@


2.6
log
@Revised include file handling; added return statement.
@
text
@d4 1
a4 1
*   Copyright (C) 1995-1999, Mark Calabretta
d33 1
a33 1
*   $Id: tsph.c,v 2.5 1999/11/19 00:31:36 mcalabre Exp mcalabre $
@


2.5
log
@"Closure tolerance" becomes "Reporting tolerance".
@
text
@d33 1
a33 1
*   $Id: tsph.c,v 2.4 1999/06/16 00:12:45 mcalabre Exp mcalabre $
d36 1
d40 1
d135 1
a135 1
   exit(0);
@


2.4
log
@Updated date in copyright notice.
@
text
@d33 1
a33 1
*   $Id: tsph.c,v 2.3 1998/02/25 07:05:50 mcalabre Exp mcalabre $
d70 1
a70 1
   printf ("Closure tolerance:%8.1lg degrees of arc.\n", tol);
@


2.3
log
@Updated date in copyright notice.
@
text
@d4 1
a4 1
*   Copyright (C) 1995-1998, Mark Calabretta
d33 1
a33 1
*   $Id: tsph.c,v 2.2 1998/01/30 00:17:29 mcalabre Exp mcalabre $
@


2.2
log
@Include <stdlib.h>, and replace return from main with exit.
@
text
@d4 1
a4 1
*   Copyright (C) 1995-1997 Mark Calabretta
d33 1
a33 1
*   $Id: tsph.c,v 2.1 1996/05/07 20:31:11 mcalabre Exp mcalabre $
@


2.1
log
@Changed header format.
@
text
@d4 1
a4 1
*   Copyright (C) 1995, Mark Calabretta
d33 1
a33 1
*   $Id: tsph.c,v 2.0 1995/09/12 06:42:37 mcalabre Exp mcalabre $
d36 1
d133 1
a133 1
   return 0;
@


2.0
log
@WCSLIB 2.0
@
text
@d33 1
a33 1
*   $Id: tsph.c,v 1.2 1995/09/12 06:42:12 mcalabre Exp mcalabre $
d52 4
d57 1
d62 1
a62 2
   printf("\n%s\n%s\n%s%10.4lf%10.4lf%10.4lf\n",
      "Testing closure of the spherical coordinate transformation routines.",
@


1.2
log
@Test closure at points close to the pole.
@
text
@d33 1
a33 1
*   $Id: tsph.c,v 1.1 1995/01/31 03:13:15 mcalabre Exp mcalabre $
@


1.1
log
@Initial revision
@
text
@d33 1
a33 4
*   Poor-closure is sometimes found for positions near the native pole and
*   should not be considered a problem.
*
*   $Id$
d36 1
d49 2
a50 2
   int   ierr, lat, lng;
   double coslat, lng1, lng2, eul[6], lat1, lat2, phi, theta;
d57 1
a57 1
   printf("%s\n%s\n%s%10.4lf%10.4lf%10.4lf\n",
a63 1
   eul[5] = eul[2] - eul[0];
d74 1
a74 1
         if (ierr = sphfwd (lng1, lat1, eul, &phi, &theta)) {
d76 1
a76 1
               lng1, lat1, ierr);
d80 1
a80 1
         if (ierr = sphrev (phi, theta, eul, &lng2, &lat2)) {
d83 1
a83 1
                   phi, theta, ierr);
d92 33
@
