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*=======================================================================
*
* WCSLIB 7.7 - 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: tspc.f,v 7.7 2021/07/12 06:36:49 mcalabre Exp $
*=======================================================================
PROGRAM TSPC
*-----------------------------------------------------------------------
*
* TSPC tests the spectral transformation driver routines for closure.
*
*-----------------------------------------------------------------------
* Maximum length of spectral axis - see CLOSURE.
INTEGER NSPEC
PARAMETER (NSPEC = 8001)
INTEGER CLOSURE, NAXISJ, NFAIL
DOUBLE PRECISION C, CDELTX, CRPIXJ, CRVALX, MARS(0:6), RESTFRQ,
: RESTWAV, X1, X2
COMMON /SPECTRO/ MARS
DATA C /2.99792458D8/
* KPNO MARS spectrograph grism parameters.
DATA MARS /4.5D5, 1D0, 27D0, 1.765D0, -1.077D6, 3D0, 5D0/
*-----------------------------------------------------------------------
WRITE (*, 10)
10 FORMAT ('Testing closure of WCSLIB spectral transformation ',
: 'routines (tspc.f)',/,
: '--------------------------------------------------',
: '-----------------')
NFAIL = 0
* PGPLOT initialization.
CALL PGBEG (0, '/null', 1, 1)
NAXISJ = NSPEC
CRPIXJ = NAXISJ/2 + 1
RESTFRQ = 1420.40595D6
RESTWAV = C/RESTFRQ
X1 = 1D9
X2 = 2D9
CDELTX = (X2 - X1)/(NAXISJ - 1)
CRVALX = X1 + (CRPIXJ - 1.0)*CDELTX
WRITE (*, 20) X1*1D-9, X2*1D-9, CDELTX*1D-3
20 FORMAT (/,'Linear frequency axis, span:',F4.1,' to',F4.1,
: ' (GHz), step:',F8.3,' (kHz)',/,'---------------------',
: '-----------------------------------------------------')
NFAIL = NFAIL + CLOSURE('WAVE-F2W', 0D0, 0D0, NAXISJ, CRPIXJ,
: CDELTX, CRVALX)
NFAIL = NFAIL + CLOSURE('VOPT-F2W', 0D0, RESTWAV, NAXISJ, CRPIXJ,
: CDELTX, CRVALX)
NFAIL = NFAIL + CLOSURE('ZOPT-F2W', 0D0, RESTWAV, NAXISJ, CRPIXJ,
: CDELTX, CRVALX)
NFAIL = NFAIL + CLOSURE('AWAV-F2A', 0D0, 0D0, NAXISJ, CRPIXJ,
: CDELTX, CRVALX)
NFAIL = NFAIL + CLOSURE('VELO-F2V', RESTFRQ, 0D0, NAXISJ, CRPIXJ,
: CDELTX, CRVALX)
NFAIL = NFAIL + CLOSURE('BETA-F2V', RESTFRQ, 0D0, NAXISJ, CRPIXJ,
: CDELTX, CRVALX)
RESTWAV = 700D-9
RESTFRQ = C/RESTWAV
X1 = 300D-9
X2 = 900D-9
CDELTX = (X2 - X1)/(NAXISJ - 1)
CRVALX = X1 + (CRPIXJ - 1D0)*CDELTX
WRITE (*, 30) INT(X1*1D9), INT(X2*1D9), CDELTX*1D9
30 FORMAT (/,'Linear vacuum wavelength axis, span:',I4,' to',I4,
: ' (nm), step:',F9.6,' (nm)',/,'----------------------',
: '----------------------------------------------------')
NFAIL = NFAIL + CLOSURE('FREQ-W2F', 0D0, 0D0, NAXISJ, CRPIXJ,
: CDELTX, CRVALX)
NFAIL = NFAIL + CLOSURE('AFRQ-W2F', 0D0, 0D0, NAXISJ, CRPIXJ,
: CDELTX, CRVALX)
NFAIL = NFAIL + CLOSURE('ENER-W2F', 0D0, 0D0, NAXISJ, CRPIXJ,
: CDELTX, CRVALX)
NFAIL = NFAIL + CLOSURE('WAVN-W2F', 0D0, 0D0, NAXISJ, CRPIXJ,
: CDELTX, CRVALX)
NFAIL = NFAIL + CLOSURE('VRAD-W2F', RESTFRQ, 0D0, NAXISJ, CRPIXJ,
: CDELTX, CRVALX)
NFAIL = NFAIL + CLOSURE('AWAV-W2A', 0D0, 0D0, NAXISJ, CRPIXJ,
: CDELTX, CRVALX)
NFAIL = NFAIL + CLOSURE('VELO-W2V', 0D0, RESTWAV, NAXISJ, CRPIXJ,
: CDELTX, CRVALX)
NFAIL = NFAIL + CLOSURE('BETA-W2V', 0D0, RESTWAV, NAXISJ, CRPIXJ,
: CDELTX, CRVALX)
WRITE (*, 40) INT(X1*1D9), INT(X2*1D9), CDELTX*1D9
40 FORMAT (/,'Linear air wavelength axis, span:',I4,' to',I4,
: ' (nm), step:',F9.6,' (nm)',/,'----------------------',
: '----------------------------------------------------')
NFAIL = NFAIL + CLOSURE('FREQ-A2F', 0D0, 0D0, NAXISJ, CRPIXJ,
: CDELTX, CRVALX)
NFAIL = NFAIL + CLOSURE('AFRQ-A2F', 0D0, 0D0, NAXISJ, CRPIXJ,
: CDELTX, CRVALX)
NFAIL = NFAIL + CLOSURE('ENER-A2F', 0D0, 0D0, NAXISJ, CRPIXJ,
: CDELTX, CRVALX)
NFAIL = NFAIL + CLOSURE('WAVN-A2F', 0D0, 0D0, NAXISJ, CRPIXJ,
: CDELTX, CRVALX)
NFAIL = NFAIL + CLOSURE('VRAD-A2F', RESTFRQ, 0D0, NAXISJ, CRPIXJ,
: CDELTX, CRVALX)
NFAIL = NFAIL + CLOSURE('WAVE-A2W', 0D0, 0D0, NAXISJ, CRPIXJ,
: CDELTX, CRVALX)
NFAIL = NFAIL + CLOSURE('VOPT-A2W', 0D0, RESTWAV, NAXISJ, CRPIXJ,
: CDELTX, CRVALX)
NFAIL = NFAIL + CLOSURE('ZOPT-A2W', 0D0, RESTWAV, NAXISJ, CRPIXJ,
: CDELTX, CRVALX)
NFAIL = NFAIL + CLOSURE('VELO-A2V', 0D0, RESTWAV, NAXISJ, CRPIXJ,
: CDELTX, CRVALX)
NFAIL = NFAIL + CLOSURE('BETA-A2V', 0D0, RESTWAV, NAXISJ, CRPIXJ,
: CDELTX, CRVALX)
RESTFRQ = 1420.40595D6
RESTWAV = C/RESTFRQ
X1 = -0.96D0*C
X2 = 0.96D0*C
CDELTX = (X2 - X1)/(NAXISJ - 1)
CRVALX = X1 + (CRPIXJ - 1D0)*CDELTX
WRITE (*, 50) INT(X1), INT(X2), INT(CDELTX)
50 FORMAT (/,'Linear velocity axis, span:',I11,' to',I10,
: ' m/s, step:',I6,' (m/s)',/,'-----------------------',
: '---------------------------------------------------')
NFAIL = NFAIL + CLOSURE('FREQ-V2F', RESTFRQ, 0D0, NAXISJ, CRPIXJ,
: CDELTX, CRVALX)
NFAIL = NFAIL + CLOSURE('AFRQ-V2F', RESTFRQ, 0D0, NAXISJ, CRPIXJ,
: CDELTX, CRVALX)
NFAIL = NFAIL + CLOSURE('ENER-V2F', RESTFRQ, 0D0, NAXISJ, CRPIXJ,
: CDELTX, CRVALX)
NFAIL = NFAIL + CLOSURE('WAVN-V2F', RESTFRQ, 0D0, NAXISJ, CRPIXJ,
: CDELTX, CRVALX)
NFAIL = NFAIL + CLOSURE('VRAD-V2F', RESTFRQ, 0D0, NAXISJ, CRPIXJ,
: CDELTX, CRVALX)
NFAIL = NFAIL + CLOSURE('WAVE-V2W', 0D0, RESTWAV, NAXISJ, CRPIXJ,
: CDELTX, CRVALX)
NFAIL = NFAIL + CLOSURE('VOPT-V2W', 0D0, RESTWAV, NAXISJ, CRPIXJ,
: CDELTX, CRVALX)
NFAIL = NFAIL + CLOSURE('ZOPT-V2W', 0D0, RESTWAV, NAXISJ, CRPIXJ,
: CDELTX, CRVALX)
NFAIL = NFAIL + CLOSURE('AWAV-V2A', 0D0, RESTWAV, NAXISJ, CRPIXJ,
: CDELTX, CRVALX)
RESTWAV = 650D-9
RESTFRQ = C/RESTWAV
X1 = 300D-9
X2 = 1000D-9
CDELTX = (X2 - X1)/(NAXISJ - 1)
CRVALX = X1 + (CRPIXJ - 1D0)*CDELTX
WRITE (*, 60) INT(X1*1D9), INT(X2*1D9), CDELTX*1D9
60 FORMAT (/,'Vacuum wavelength grism axis, span:',I4,' to',I5,
: ' (nm), step:',F9.6,' (nm)',/,'----------------------',
: '----------------------------------------------------')
NFAIL = NFAIL + CLOSURE('FREQ-GRI', 0D0, 0D0, NAXISJ, CRPIXJ,
: CDELTX, CRVALX)
NFAIL = NFAIL + CLOSURE('AFRQ-GRI', 0D0, 0D0, NAXISJ, CRPIXJ,
: CDELTX, CRVALX)
NFAIL = NFAIL + CLOSURE('ENER-GRI', 0D0, 0D0, NAXISJ, CRPIXJ,
: CDELTX, CRVALX)
NFAIL = NFAIL + CLOSURE('WAVN-GRI', 0D0, 0D0, NAXISJ, CRPIXJ,
: CDELTX, CRVALX)
NFAIL = NFAIL + CLOSURE('VRAD-GRI', RESTFRQ, 0D0, NAXISJ, CRPIXJ,
: CDELTX, CRVALX)
NFAIL = NFAIL + CLOSURE('WAVE-GRI', 0D0, 0D0, NAXISJ, CRPIXJ,
: CDELTX, CRVALX)
NFAIL = NFAIL + CLOSURE('VOPT-GRI', 0D0, RESTWAV, NAXISJ, CRPIXJ,
: CDELTX, CRVALX)
NFAIL = NFAIL + CLOSURE('ZOPT-GRI', 0D0, RESTWAV, NAXISJ, CRPIXJ,
: CDELTX, CRVALX)
NFAIL = NFAIL + CLOSURE('AWAV-GRI', 0D0, 0D0, NAXISJ, CRPIXJ,
: CDELTX, CRVALX)
NFAIL = NFAIL + CLOSURE('VELO-GRI', 0D0, RESTWAV, NAXISJ, CRPIXJ,
: CDELTX, CRVALX)
NFAIL = NFAIL + CLOSURE('BETA-GRI', 0D0, RESTWAV, NAXISJ, CRPIXJ,
: CDELTX, CRVALX)
* Reproduce Fig. 5 of Paper III.
NAXISJ = 1700
CRPIXJ = 719.8D0
CRVALX = 7245.2D-10
CDELTX = 2.956D-10
RESTWAV = 8500D-10
RESTFRQ = C/RESTWAV
X1 = CRVALX + (1 - CRPIXJ)*CDELTX
X2 = CRVALX + (NAXISJ - CRPIXJ)*CDELTX
MARS(5) = 0D0
MARS(6) = 0D0
WRITE (*, 70) INT(X1*1D9), INT(X2*1D9), CDELTX*1D9
70 FORMAT (/,'Air wavelength grism axis, span:',I4,' to',I5,
: ' (nm), step:',F9.6,' (nm)',/,'----------------------',
: '----------------------------------------------------')
NFAIL = NFAIL + CLOSURE('AWAV-GRA', 0D0, 0D0, NAXISJ, CRPIXJ,
: CDELTX, CRVALX)
NFAIL = NFAIL + CLOSURE('VELO-GRA', 0D0, RESTWAV, NAXISJ, CRPIXJ,
: CDELTX, CRVALX)
CALL PGASK(0)
CALL PGEND()
IF (NFAIL.NE.0) THEN
WRITE (*, 80) NFAIL
80 FORMAT (/,'FAIL:',I5,' closure residuals exceed reporting ',
: 'tolerance.')
ELSE
WRITE (*, 90)
90 FORMAT (/,'PASS: All closure residuals are within reporting ',
: 'tolerance.')
END IF
END
*=======================================================================
INTEGER FUNCTION CLOSURE (CTYPES, RESTFRQ, RESTWAV, NAXISJ,
: CRPIXJ, CDELTX, CRVALX)
INTEGER NSPEC
PARAMETER (NSPEC = 8001)
INTEGER J, NAXISJ, NFAIL, RESTREQ, STAT1(NSPEC), STAT2(NSPEC),
: STATUS
REAL TMP, X(NSPEC), XMIN, XMAX, Y(NSPEC), YMAX, YMIN
DOUBLE PRECISION CDELTS, CDELTX, CLOS(NSPEC), CRPIXJ, CRVALS,
: CRVALX, DSDX, MARS(0:6), RESID, RESIDMAX, RESTFRQ,
: RESTWAV, SPEC1(NSPEC), SPEC2(NSPEC), TOL
CHARACTER CTYPES*8, PTYPE, SCODE*3, SNAME*21, STYPE*8, TITLE*80,
: UNITS*7, XTYPE, YLAB*80
* On some systems, such as Sun Sparc, the struct MUST be aligned
* on a double precision boundary, done here using an equivalence.
* Failure to do this may result in mysterious "bus errors".
INCLUDE 'spx.inc'
INCLUDE 'spc.inc'
INTEGER SPC(SPCLEN)
DOUBLE PRECISION DUMMY
EQUIVALENCE (SPC,DUMMY)
COMMON /SPECTRO/ MARS
DATA TOL /1D-11/
*-----------------------------------------------------------------------
CLOSURE = 0
* Get keyvalues for the required spectral axis type.
STATUS = SPCXPS (CTYPES, CRVALX, RESTFRQ, RESTWAV, PTYPE, XTYPE,
: RESTREQ, CRVALS, DSDX)
IF (STATUS.NE.0) THEN
WRITE (*, 10) STATUS, CTYPES
10 FORMAT ('ERROR',I2,' from SPCXPS for',A,'.')
RETURN
END IF
CDELTS = CDELTX * DSDX
STATUS = SPCINI(SPC)
IF (CTYPES(6:6).EQ.'G') THEN
* KPNO MARS spectrograph grism parameters.
STATUS = SPCPTD (SPC, SPC_PV, MARS(0), 0)
STATUS = SPCPTD (SPC, SPC_PV, MARS(1), 1)
STATUS = SPCPTD (SPC, SPC_PV, MARS(2), 2)
STATUS = SPCPTD (SPC, SPC_PV, MARS(3), 3)
STATUS = SPCPTD (SPC, SPC_PV, MARS(4), 4)
STATUS = SPCPTD (SPC, SPC_PV, MARS(5), 5)
STATUS = SPCPTD (SPC, SPC_PV, MARS(6), 6)
END IF
* Construct the axis.
DO 20 J = 1, NAXISJ
SPEC1(J) = (J - CRPIXJ)*CDELTS
20 CONTINUE
WRITE (*, 30) CTYPES, CRVALS+SPEC1(1), CRVALS+SPEC1(NAXISJ),
: CDELTS
30 FORMAT (A,' (CRVALk+w) range: ',1PE13.6,' to ',1PE13.6,', step: ',
: 1PE13.6)
* Initialize.
STATUS = SPCPTI (SPC, SPC_FLAG, 0, 0)
STATUS = SPCPTD (SPC, SPC_CRVAL, CRVALS, 0)
STATUS = SPCPTD (SPC, SPC_RESTFRQ, RESTFRQ, 0)
STATUS = SPCPTD (SPC, SPC_RESTWAV, RESTWAV, 0)
STATUS = SPCPTC (SPC, SPC_TYPE, CTYPES, 0)
STATUS = SPCPTC (SPC, SPC_CODE, CTYPES(6:8), 0)
* Convert the first to the second.
STATUS = SPCX2S(SPC, NAXISJ, 1, 1, SPEC1, SPEC2, STAT1)
IF (STATUS.NE.0) THEN
WRITE (*, 40) STATUS
40 FORMAT ('SPCX2S ERROR',I2,'.')
RETURN
END IF
* Convert the second back to the first.
STATUS = SPCS2X(SPC, NAXISJ, 1, 1, SPEC2, CLOS, STAT2)
IF (STATUS.NE.0) THEN
WRITE (*, 50) STATUS
50 FORMAT ('SPCS2X ERROR',I2,'.')
RETURN
END IF
* Test closure.
NFAIL = 0
RESIDMAX = 0D0
STATUS = SPCGTC (SPC, SPC_TYPE, STYPE, 0)
DO 90 J = 1, NAXISJ
IF (STAT1(J).NE.0) THEN
WRITE (*, 60) CTYPES, SPEC1(J), STYPE, STAT1(J)
60 FORMAT (A,': w =',1PE20.12,' -> ',A4,' = ???, stat = ',I2)
GO TO 90
END IF
IF (STAT2(J).NE.0) THEN
WRITE (*, 70) CTYPES, SPEC1(J), STYPE, SPEC2(J), STAT2(J)
70 FORMAT (A,': w =',1PE20.12,' -> ',A4,' =',1PE20.12,
: ' -> w = ???, stat = ',I2)
GO TO 90
END IF
RESID = ABS((CLOS(J) - SPEC1(J))/CDELTS)
IF (RESID.GT.RESIDMAX) RESIDMAX = RESID
IF (RESID.GT.TOL) THEN
NFAIL = NFAIL + 1
WRITE (*, 80) CTYPES, SPEC1(J), STYPE, SPEC2(J), CLOS(J),
: RESID
80 FORMAT (A,': w =',1PE20.12,' -> ',A4,' =',1PE20.12,' ->',/,
: ' w =',1PE20.12,', resid =',1PE8.1)
END IF
90 CONTINUE
WRITE (*, 100) CTYPES, RESIDMAX
100 FORMAT (A,': Maximum closure residual =',1PE8.1,' pixel')
* Draw graph.
CALL PGBBUF()
CALL PGERAS()
XMIN = REAL(CRVALS + SPEC1(1))
XMAX = REAL(CRVALS + SPEC1(NAXISJ))
YMIN = REAL(SPEC2(1)) - XMIN
YMAX = YMIN
DO 110 J = 1, NAXISJ
X(J) = REAL(J)
Y(J) = REAL(SPEC2(J) - (CRVALS + SPEC1(J)))
IF (Y(J).GT.YMAX) YMAX = Y(J)
IF (Y(J).LT.YMIN) YMIN = Y(J)
110 CONTINUE
J = INT(CRPIXJ+1)
IF (Y(J).LT.0D0) then
TMP = YMIN
YMIN = YMAX
YMAX = TMP
END IF
CALL PGASK(0)
CALL PGENV(1.0, REAL(NAXISJ), YMIN, YMAX, 0, -1)
CALL PGSCI(1)
CALL PGBOX('ABNTS', 0.0, 0, 'BNTS', 0.0, 0)
STATUS = SPCTYP (CTYPES, STYPE, SCODE, SNAME, UNITS, PTYPE, XTYPE,
: RESTREQ)
DO 120 J = 21, 1, -1
IF (SNAME(J:J).NE.' ') GO TO 130
120 CONTINUE
130 YLAB = SNAME(:J) // ' - correction ' // UNITS
TITLE = CTYPES // ': CRVALk + w ' // UNITS
CALL PGLAB('Pixel coordinate', YLAB, TITLE)
CALL PGAXIS('N', 0.0, YMAX, REAL(NAXISJ), YMAX, XMIN, XMAX, 0.0,
: 0, -0.5, 0.0, 0.5, -0.5, 0.0)
CALL PGAXIS('N', REAL(NAXISJ), ymin, REAL(NAXISJ), YMAX,
: REAL(YMIN/CDELTS), REAL(YMAX/CDELTS), 0.0, 0, 0.5,
: 0.0, 0.5, 0.1, 0.0)
CALL PGMTXT('R', 2.2, 0.5, 0.5, 'Pixel offset')
CALL PGLINE(NAXISJ, X, Y)
CALL PGSCI(7)
CALL PGPT1(REAL(CRPIXJ), 0.0, 24)
CALL PGEBUF()
WRITE (*, '(A,$)') 'Type <RETURN> for next page: '
READ (*, *, END=140)
140 WRITE (*, *)
CLOSURE = NFAIL
END
|
