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*=======================================================================
*
* WCSLIB 7.4 - an implementation of the FITS WCS standard.
* Copyright (C) 1995-2021, 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/people/Mark.Calabretta
* $Id: tspx.f,v 7.4 2021/01/31 02:24:52 mcalabre Exp $
*=======================================================================
PROGRAM TSPX
*-----------------------------------------------------------------------
*
* TSPEC tests the spectral transformation routines for closure.
*
*-----------------------------------------------------------------------
* Length of spectral axis - see CLOSURE.
INTEGER NSPEC
PARAMETER (NSPEC = 9991)
INTEGER CLOSURE, J, K, NFAIL, STAT(NSPEC), STATUS
DOUBLE PRECISION AWAV(NSPEC), C, FREQ(NSPEC), RESTFRQ, RESTWAV,
: SPC1(NSPEC), SPC2(NSPEC), STEP, VELO(NSPEC), WAVE(NSPEC)
INCLUDE 'spx.inc'
DATA C /2.99792458D8/
*-----------------------------------------------------------------------
WRITE (*, 10)
10 FORMAT ('Testing closure of WCSLIB spectral transformation ',
: 'routines (tspx.f)',/,
: '--------------------------------------------------',
: '-----------------')
RESTFRQ = 1420.40595D6
RESTWAV = C/RESTFRQ
* Exercise SPECX.
WRITE (*, 20)
20 FORMAT (/,'Testing spectral cross-conversions (specx).',/)
STATUS = SPECX('VELO', 4.3D5, RESTFRQ, RESTWAV, SPX)
WRITE (*, 30) SPX(1), SPX(2), SPXI(1), SPXI(2), (SPX(J), J=4,14)
30 FORMAT (' restfrq:',1PE20.12,/,' restwav:',1PE20.12,/,
: ' wavetype:',I3,/, ' velotype:',I3,//,
: ' freq:',1PE20.12,/,' afrq:',1PE20.12,/,
: ' ener:',1PE20.12,/,' wavn:',1PE20.12,/,
: ' vrad:',1PE20.12,/,' wave:',1PE20.12,/,
: ' vopt:',1PE20.12,/,' zopt:',1PE20.12,/,
: ' awav:',1PE20.12,/,' velo:',1PE20.12,/,
: ' beta:',1PE20.12,/)
WRITE (*, 40) (SPX(J), J=15,40)
40 FORMAT ('dfreq/dafrq:',1PE20.12,/,'dafrq/dfreq:',1PE20.12,/,
: 'dfreq/dener:',1PE20.12,/,'dener/dfreq:',1PE20.12,/,
: 'dfreq/dwavn:',1PE20.12,/,'dwavn/dfreq:',1PE20.12,/,
: 'dfreq/dvrad:',1PE20.12,/,'dvrad/dfreq:',1PE20.12,/,
: 'dfreq/dwave:',1PE20.12,/,'dwave/dfreq:',1PE20.12,/,
: 'dfreq/dawav:',1PE20.12,/,'dawav/dfreq:',1PE20.12,/,
: 'dfreq/dvelo:',1PE20.12,/,'dvelo/dfreq:',1PE20.12,/,
: 'dwave/dvopt:',1PE20.12,/,'dvopt/dwave:',1PE20.12,/,
: 'dwave/dzopt:',1PE20.12,/,'dzopt/dwave:',1PE20.12,/,
: 'dwave/dawav:',1PE20.12,/,'dawav/dwave:',1PE20.12,/,
: 'dwave/dvelo:',1PE20.12,/,'dvelo/dwave:',1PE20.12,/,
: 'dawav/dvelo:',1PE20.12,/,'dvelo/dawav:',1PE20.12,/,
: 'dvelo/dbeta:',1PE20.12,/,'dbeta/dvelo:',1PE20.12,/)
* Construct a linear velocity spectrum.
STEP = (2D0*C/NSPEC) / 2D0
K = -NSPEC
DO 50 J = 1, NSPEC
VELO(J) = (K+1)*STEP
K = K + 2
50 CONTINUE
WRITE (*, 60) VELO(1)*1D-3, VELO(NSPEC)*1D-3,
: (VELO(2) - VELO(1))*1D-3
60 FORMAT (/,'Velocity range:',F12.3,' to',F11.3,' km/s, step:',
: F7.3,' km/s')
* Convert it to frequency.
STATUS = VELOFREQ(RESTFRQ, NSPEC, 1, 1, VELO, FREQ, STAT)
* Test closure of all two-way combinations.
NFAIL = 0
NFAIL = NFAIL + CLOSURE ('freq', 'afrq', 0D0,
: FREQAFRQ, AFRQFREQ, FREQ, SPC1)
NFAIL = NFAIL + CLOSURE ('afrq', 'freq', 0D0,
: AFRQFREQ, FREQAFRQ, SPC1, SPC2)
NFAIL = NFAIL + CLOSURE ('freq', 'ener', 0D0,
: FREQENER, ENERFREQ, FREQ, SPC1)
NFAIL = NFAIL + CLOSURE ('ener', 'freq', 0D0,
: ENERFREQ, FREQENER, SPC1, SPC2)
NFAIL = NFAIL + CLOSURE ('freq', 'wavn', 0D0,
: FREQWAVN, WAVNFREQ, FREQ, SPC1)
NFAIL = NFAIL + CLOSURE ('wavn', 'freq', 0D0,
: WAVNFREQ, FREQWAVN, SPC1, SPC2)
NFAIL = NFAIL + CLOSURE ('freq', 'vrad', RESTFRQ,
: FREQVRAD, VRADFREQ, FREQ, SPC1)
NFAIL = NFAIL + CLOSURE ('vrad', 'freq', RESTFRQ,
: VRADFREQ, FREQVRAD, SPC1, SPC2)
NFAIL = NFAIL + CLOSURE ('freq', 'wave', 0D0,
: FREQWAVE, WAVEFREQ, FREQ, WAVE)
NFAIL = NFAIL + CLOSURE ('wave', 'freq', 0D0,
: WAVEFREQ, FREQWAVE, WAVE, SPC2)
NFAIL = NFAIL + CLOSURE ('freq', 'awav', 0D0,
: FREQAWAV, AWAVFREQ, FREQ, AWAV)
NFAIL = NFAIL + CLOSURE ('awav', 'freq', 0D0,
: AWAVFREQ, FREQAWAV, AWAV, SPC2)
NFAIL = NFAIL + CLOSURE ('freq', 'velo', RESTFRQ,
: FREQVELO, VELOFREQ, FREQ, VELO)
NFAIL = NFAIL + CLOSURE ('velo', 'freq', RESTFRQ,
: VELOFREQ, FREQVELO, VELO, SPC2)
NFAIL = NFAIL + CLOSURE ('wave', 'vopt', RESTWAV,
: WAVEVOPT, VOPTWAVE, WAVE, SPC1)
NFAIL = NFAIL + CLOSURE ('vopt', 'wave', RESTWAV,
: VOPTWAVE, WAVEVOPT, SPC1, SPC2)
NFAIL = NFAIL + CLOSURE ('wave', 'zopt', RESTWAV,
: WAVEZOPT, ZOPTWAVE, WAVE, SPC1)
NFAIL = NFAIL + CLOSURE ('zopt', 'wave', RESTWAV,
: ZOPTWAVE, WAVEZOPT, SPC1, SPC2)
NFAIL = NFAIL + CLOSURE ('wave', 'awav', 0D0,
: WAVEAWAV, AWAVWAVE, WAVE, SPC1)
NFAIL = NFAIL + CLOSURE ('awav', 'wave', 0D0,
: AWAVWAVE, WAVEAWAV, SPC1, SPC2)
NFAIL = NFAIL + CLOSURE ('wave', 'velo', RESTWAV,
: WAVEVELO, VELOWAVE, WAVE, SPC1)
NFAIL = NFAIL + CLOSURE ('velo', 'wave', RESTWAV,
: VELOWAVE, WAVEVELO, SPC1, SPC2)
NFAIL = NFAIL + CLOSURE ('awav', 'velo', RESTWAV,
: AWAVVELO, VELOAWAV, AWAV, SPC1)
NFAIL = NFAIL + CLOSURE ('velo', 'awav', RESTWAV,
: VELOAWAV, AWAVVELO, SPC1, SPC2)
NFAIL = NFAIL + CLOSURE ('velo', 'beta', 0D0,
: VELOBETA, BETAVELO, VELO, SPC1)
NFAIL = NFAIL + CLOSURE ('beta', 'velo', 0D0,
: BETAVELO, VELOBETA, SPC1, SPC2)
IF (NFAIL.NE.0) THEN
WRITE (*, 70) NFAIL
70 FORMAT (/,'FAIL:',I5,' closure residuals exceed reporting ',
: 'tolerance.')
ELSE
WRITE (*, 80)
80 FORMAT (/,'PASS: All closure residuals are within reporting ',
: 'tolerance.')
END IF
END
*=======================================================================
INTEGER FUNCTION CLOSURE (FROM, TO, PARM, FWD, REV, SPEC1, SPEC2)
INTEGER NSPEC
PARAMETER (NSPEC = 9991)
LOGICAL SKIP
INTEGER J, NFAIL, STAT1(NSPEC), STAT2(NSPEC), STATUS
DOUBLE PRECISION CLOS(NSPEC), PARM, RESID, RESIDMAX, SPEC1(NSPEC),
: SPEC2(NSPEC), TOL
CHARACTER FROM*(*), TO*(*)
PARAMETER (TOL = 2D-9)
INTEGER FWD, REV
EXTERNAL FWD, REV
SAVE SKIP
DATA SKIP/.FALSE./
*-----------------------------------------------------------------------
* Convert the first to the second.
STATUS = FWD(PARM, NSPEC, 1, 1, SPEC1, SPEC2, STAT1)
IF (STATUS.NE.0) THEN
WRITE (*, 10) FROM, TO, STATUS
10 FORMAT (A,A,' ERROR',I2,'.')
END IF
* Convert the second back to the first.
STATUS = REV(PARM, NSPEC, 1, 1, SPEC2, CLOS, STAT2)
IF (STATUS.NE.0) THEN
WRITE (*, 10) TO, FROM, STATUS
END IF
* Test closure.
NFAIL = 0
RESIDMAX = 0.0
DO 50 J = 1, NSPEC
IF (STAT1(J).NE.0) THEN
IF (SKIP) WRITE (*, *)
WRITE (*, 20) FROM, TO, FROM, SPEC1(J), TO, STAT1(J)
20 FORMAT (A,A,': ',A,' =',1PE19.12,' -> ',A,
: ' = ???, stat = ',I2)
SKIP = .FALSE.
GO TO 50
END IF
IF (STAT2(J).NE.0) THEN
IF (SKIP) WRITE (*, *)
WRITE (*, 30) TO, FROM, FROM, SPEC1(J), TO, SPEC2(J), FROM,
: STAT2(J)
30 FORMAT (A,A,': ',A,' =',1PE19.12,' -> ',A,' =',1PE19.12,
: ' -> ',A,' = ???, stat = ',I2)
SKIP = .FALSE.
GO TO 50
END IF
IF (SPEC1(J).EQ.0.0) THEN
RESID = ABS(CLOS(J) - SPEC1(J))
ELSE
RESID = ABS((CLOS(J) - SPEC1(J))/SPEC1(J))
IF (RESID.GT.RESIDMAX) RESIDMAX = RESID
END IF
IF (RESID.GT.TOL) THEN
NFAIL = NFAIL + 1
IF (SKIP) WRITE (*, *)
WRITE (*, 40) FROM, TO, FROM, SPEC1(J), TO, SPEC2(J), FROM,
: CLOS(J), RESID
40 FORMAT (A,A,': ',A,' =',1PE19.12,' -> ',A,' =',1PE19.12,
: ' ->',/,' ',A,' =',1PE19.12,', resid =',
: 1PE8.1)
SKIP = .FALSE.
END IF
50 CONTINUE
WRITE (*, 60) FROM, TO, RESIDMAX
60 FORMAT (A,A,': Maximum closure residual =',1PE8.1)
IF (RESIDMAX.GT.TOL) THEN
WRITE (*, *)
SKIP = .FALSE.
ELSE
SKIP = .TRUE.
END IF
CLOSURE = NFAIL
END
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