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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: tprj1.f,v 7.4 2021/01/31 02:24:52 mcalabre Exp $
*=======================================================================
PROGRAM TPRJ1
*-----------------------------------------------------------------------
*
* TPRJ1 tests forward and reverse spherical projections for closure.
*
*-----------------------------------------------------------------------
INCLUDE 'prj.inc'
INTEGER J, K, NFAIL, PROJEX, STATUS
DOUBLE PRECISION PV(0:29)
DOUBLE PRECISION PI
PARAMETER (PI = 3.141592653589793238462643D0)
DOUBLE PRECISION TOL
PARAMETER (TOL = 1D-9)
*-----------------------------------------------------------------------
WRITE (*, 10)
10 FORMAT ('Testing closure of WCSLIB spherical projection ',
: 'routines (tprj1.f)',/,
: '-----------------------------------------------',
: '------------------')
WRITE (*, '(/,A)') 'List of prj status return values:'
DO 40 STATUS = 1, 4
DO 30 K = 80, 1, -1
IF (PRJ_ERRMSG(STATUS)(K:K).NE.' ') THEN
WRITE(*, 20) STATUS, PRJ_ERRMSG(STATUS)(:K)
20 FORMAT(I4,': ',A,'.')
GO TO 40
END IF
30 CONTINUE
40 CONTINUE
WRITE(*, '()')
DO 50 J = 0, 29
PV(J) = 0D0
50 CONTINUE
NFAIL = 0
* AZP: zenithal/azimuthal perspective.
PV(1) = 0.5D0
PV(2) = 30D0
NFAIL = NFAIL + PROJEX ('AZP', PV, 90, 5, TOL)
* SZP: slant zenithal perspective.
PV(1) = 0.5D0
PV(2) = 210D0
PV(3) = 60D0
NFAIL = NFAIL + PROJEX ('SZP', PV, 90, -90, TOL)
* TAN: gnomonic.
NFAIL = NFAIL + PROJEX ('TAN', PV, 90, 5, TOL)
* STG: stereographic.
NFAIL = NFAIL + PROJEX ('STG', PV, 90, -85, TOL)
* SIN: orthographic/synthesis.
PV(1) = -0.3D0
PV(2) = 0.5D0
NFAIL = NFAIL + PROJEX ('SIN', PV, 90, 45, TOL)
* ARC: zenithal/azimuthal equidistant.
NFAIL = NFAIL + PROJEX ('ARC', PV, 90, -90, TOL)
* ZPN: zenithal/azimuthal polynomial.
PV(0) = 0.00000D0
PV(1) = 0.95000D0
PV(2) = -0.02500D0
PV(3) = -0.15833D0
PV(4) = 0.00208D0
PV(5) = 0.00792D0
PV(6) = -0.00007D0
PV(7) = -0.00019D0
PV(8) = 0.00000D0
PV(9) = 0.00000D0
NFAIL = NFAIL + PROJEX ('ZPN', PV, 90, 10, TOL)
* ZEA: zenithal/azimuthal equal area.
NFAIL = NFAIL + PROJEX ('ZEA', PV, 90, -85, TOL)
* AIR: Airy's zenithal projection.
PV(1) = 45D0
NFAIL = NFAIL + PROJEX ('AIR', PV, 90, -85, TOL)
* CYP: cylindrical perspective.
PV(1) = 3.0D0
PV(2) = 0.8D0
NFAIL = NFAIL + PROJEX ('CYP', PV, 90, -90, TOL)
* CEA: cylindrical equal area.
PV(1) = 0.75D0
NFAIL = NFAIL + PROJEX ('CEA', PV, 90, -90, TOL)
* CAR: plate carree.
NFAIL = NFAIL + PROJEX ('CAR', PV, 90, -90, TOL)
* MER: Mercator's.
NFAIL = NFAIL + PROJEX ('MER', PV, 85, -85, TOL)
* SFL: Sanson-Flamsteed.
NFAIL = NFAIL + PROJEX ('SFL', PV, 90, -90, TOL)
* PAR: parabolic.
NFAIL = NFAIL + PROJEX ('PAR', PV, 90, -90, TOL)
* MOL: Mollweide's projection.
NFAIL = NFAIL + PROJEX ('MOL', PV, 90, -90, TOL)
* AIT: Hammer-Aitoff.
NFAIL = NFAIL + PROJEX ('AIT', PV, 90, -90, TOL)
* COP: conic perspective.
PV(1) = 60D0
PV(2) = 15D0
NFAIL = NFAIL + PROJEX ('COP', PV, 90, -25, TOL)
* COE: conic equal area.
PV(1) = 60D0
PV(2) = -15D0
NFAIL = NFAIL + PROJEX ('COE', PV, 90, -90, TOL)
* COD: conic equidistant.
PV(1) = -60D0
PV(2) = 15D0
NFAIL = NFAIL + PROJEX ('COD', PV, 90, -90, TOL)
* COO: conic orthomorphic.
PV(1) = -60D0
PV(2) = -15D0
NFAIL = NFAIL + PROJEX ('COO', PV, 85, -90, TOL)
* BON: Bonne's projection.
PV(1) = 30D0
NFAIL = NFAIL + PROJEX ('BON', PV, 90, -90, TOL)
* PCO: polyconic.
NFAIL = NFAIL + PROJEX ('PCO', PV, 90, -90, TOL)
* TSC: tangential spherical cube.
NFAIL = NFAIL + PROJEX ('TSC', PV, 90, -90, TOL)
* CSC: COBE quadrilateralized spherical cube.
NFAIL = NFAIL + PROJEX ('CSC', PV, 90, -90, 4D-2)
* QSC: quadrilateralized spherical cube.
NFAIL = NFAIL + PROJEX ('QSC', PV, 90, -90, TOL)
* HPX: HEALPix projection.
PV(1) = 4D0
PV(2) = 3D0
NFAIL = NFAIL + PROJEX ('HPX', PV, 90, -90, TOL)
* XPH: HEALPix polar, aka "butterfly" projection.
NFAIL = NFAIL + PROJEX ('XPH', PV, 90, -90, TOL)
IF (NFAIL.NE.0) THEN
WRITE (*, 60) NFAIL
60 FORMAT (/,'FAIL:',I5,' closure residuals exceed reporting ',
: 'tolerance.')
ELSE
WRITE (*, 70)
70 FORMAT (/,'PASS: All closure residuals are within reporting ',
: 'tolerance.')
END IF
END
*-----------------------------------------------------------------------
INTEGER FUNCTION PROJEX (PCODE, PV, NORTH, SOUTH, TOL)
*-----------------------------------------------------------------------
* PROJEX exercises the spherical projection routines.
*
* Given:
* PCODE C*3 Projection code.
* PV D(0:29) Projection parameters.
* NORTH I Northern cutoff latitude, degrees.
* SOUTH I Southern cutoff latitude, degrees.
* TOL D Reporting tolerance, degrees.
*-----------------------------------------------------------------------
INTEGER I, J, LAT, LNG, NFAIL, NORTH, SOUTH, STAT1(361),
: STAT2(361), STATR(25,25), STATUS
DOUBLE PRECISION DLAT, DLATMX, DLNG, DLNGMX, DR, DRMAX, DX, DY,
: LAT1, LAT2(361), LATR(25,25), LNG1(361), LNG2(361),
: LNGR(25,25), PV(0:29), R, TOL, X(361), X1(25),
: X2(25,25), Y(361), Y1(25), Y2(25,25)
CHARACTER PCODE*3
* 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 'prj.inc'
INTEGER PRJ(PRJLEN)
DOUBLE PRECISION DUMMY
EQUIVALENCE (PRJ,DUMMY)
DOUBLE PRECISION D2R, PI
PARAMETER (PI = 3.141592653589793238462643D0)
PARAMETER (D2R = PI/180D0)
*-----------------------------------------------------------------------
STATUS = PRJINI(PRJ)
DO 10 J = 0, 29
STATUS = PRJPTD (PRJ, PRJ_PV, PV(J), J)
10 CONTINUE
* N.B. special case - only three characters need be given.
STATUS = PRJPTC (PRJ, PRJ_CODE, PCODE, 0)
* Uncomment the next line to test alternative initializations of
* projection parameters.
* STATUS = PRJPTD (PRJ, PRJ_R0, 180D0/PI, 0)
WRITE (*, 20) PCODE, NORTH, SOUTH, TOL
20 FORMAT ('Testing ',A3,'; latitudes',I3,' to',I4,
: ', reporting tolerance',1PG8.1,' deg.')
NFAIL = 0
DLNGMX = 0D0
DLATMX = 0D0
DO 90 LAT = NORTH, SOUTH, -1
LAT1 = DBLE(LAT)
J = 1
DO 30 LNG = -180, 180
LNG1(J) = DBLE(LNG)
J = J + 1
30 CONTINUE
STATUS = PRJS2X (PRJ, 361, 1, 1, 1, LNG1, LAT1, X, Y, STAT1)
IF (STATUS.EQ.1) THEN
WRITE (*, 40) PCODE, STATUS
40 FORMAT (3X,A3,'(S2X) ERROR',I2)
GO TO 90
END IF
STATUS = PRJX2S (PRJ, 361, 0, 1, 1, X, Y, LNG2, LAT2, STAT2)
IF (STATUS.EQ.1) THEN
WRITE (*, 50) PCODE, STATUS
50 FORMAT (3X,A3,'(X2S) ERROR',I2)
GO TO 90
END IF
LNG = -180
DO 80 J = 1, 361
IF (STAT1(J).NE.0) GO TO 80
IF (STAT2(J).NE.0) THEN
NFAIL = NFAIL + 1
WRITE (*, 60) PCODE, LNG1(J), LAT1, X(J), Y(J), LNG2(J),
: LAT2(J), STAT2(J)
60 FORMAT (3X,A3,'(X2S): lng1 =',F20.15,' lat1 =',F20.15,/,
: ' x =',F20.15,' y =',F20.15,/,
: ' lng2 =',F20.15,' lat2 =',F20.15,
: ' ERROR',I3)
GO TO 80
END IF
DLNG = ABS(LNG2(J) - LNG1(J))
IF (DLNG.GT.180D0) DLNG = ABS(DLNG-360D0)
IF (ABS(LAT).NE.90 .AND. DLNG.GT.DLNGMX) DLNGMX = DLNG
DLAT = ABS(LAT2(J) - LAT1)
IF (DLAT.GT.DLATMX) DLATMX = DLAT
IF (DLAT.GT.TOL) THEN
NFAIL = NFAIL + 1
WRITE (*, 70) PCODE, LNG1(J), LAT1, X(J), Y(J), LNG2(J),
: LAT2(J)
70 FORMAT (8X,A3,': lng1 =',F20.15,' lat1 =',F20.15,/,
: 8X,' x =',F20.15,' y =',F20.15,/,
: 8X,' lng2 =',F20.15,' lat2 =',F20.15)
ELSE IF (ABS(LAT).NE.90) THEN
IF (DLNG.GT.TOL) THEN
NFAIL = NFAIL + 1
WRITE (*, 70) PCODE, LNG1(J), LAT1, X(J), Y(J),
: LNG2(J), LAT2(J)
END IF
END IF
80 CONTINUE
90 CONTINUE
WRITE (*, 100) DLNGMX, DLATMX
100 FORMAT (13X,'Maximum residual (sky): lng',1P,E8.1,' lat',E8.1)
* Test closure at points close to the reference point.
R = 1D0
X1(13) = 0D0
Y1(13) = 0D0
DO 110 I = 1, 12
X1(I) = -R
Y1(I) = -R
X1(26-I) = R
Y1(26-I) = R
R = R / 10D0
110 CONTINUE
STATUS = PRJX2S (PRJ, 25, 25, 1, 1, X1, Y1, LNGR, LATR, STATR)
IF (STATUS.NE.0) THEN
WRITE (*, 120) PCODE, STATUS
120 FORMAT (8X,A3,'(X2S): ERROR',I3)
GO TO 999
END IF
STATUS = PRJS2X (PRJ, 625, 0, 1, 1, LNGR, LATR, X2, Y2, STATR)
IF (STATUS.NE.0) THEN
WRITE (*, 130) PCODE, STATUS
130 FORMAT (3X,A3,' ERROR',I3)
GO TO 999
END IF
DRMAX = 0D0
DO 160 J = 1, 25
DO 150 I = 1, 25
DX = X2(I,J) - X1(I)
DY = Y2(I,J) - Y1(J)
DR = SQRT(DX*DX + DY*DY)
IF (DR.GT.DRMAX) DRMAX = DR
IF (DR.GT.TOL) THEN
NFAIL = NFAIL + 1
WRITE (*, 140) PCODE, X1(I), Y1(J), LNGR(I,J), LATR(I,J),
: X2(I,J), Y2(I,J)
140 FORMAT (8X,A3,': x1 =',F20.15,' y1 =',F20.15,/,
: 8X,' lng =',F20.15,' lat =',F20.15,/,
: 8X,' x2 =',F20.15,' y2 =',F20.15)
END IF
150 CONTINUE
160 CONTINUE
WRITE (*, 170) DRMAX
170 FORMAT (13X,'Maximum residual (ref): dR',1PE8.1)
999 PROJEX = NFAIL
END
|
