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SOFALIB.f
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SUBROUTINE iau_CAL2JD ( IY, IM, ID, DJM0, DJM, J )
*+
* - - - - - - - - - - -
* i a u _ C A L 2 J D
* - - - - - - - - - - -
*
* Gregorian Calendar to Julian Date.
*
* This routine is part of the International Astronomical Union's
* SOFA (Standards of Fundamental Astronomy) software collection.
*
* Status: support routine.
*
* Given:
* IY,IM,ID i year, month, day in Gregorian calendar (Note 1)
*
* Returned:
* DJM0 d MJD zero-point: always 2400000.5
* DJM d Modified Julian Date for 0 hrs
* J i status:
* 0 = OK
* -1 = bad year (Note 3: JD not computed)
* -2 = bad month (JD not computed)
* -3 = bad day (JD computed)
*
* Notes:
*
* 1) The algorithm used is valid from -4800 March 1, but this
* implementation rejects dates before -4799 January 1.
*
* 2) The Julian Date is returned in two pieces, in the usual SOFA
* manner, which is designed to preserve time resolution. The
* Julian Date is available as a single number by adding DJM0 and
* DJM.
*
* 3) In early eras the conversion is from the "Proleptic Gregorian
* Calendar"; no account is taken of the date(s) of adoption of
* the Gregorian Calendar, nor is the AD/BC numbering convention
* observed.
*
* Reference:
*
* Explanatory Supplement to the Astronomical Almanac,
* P. Kenneth Seidelmann (ed), University Science Books (1992),
* Section 12.92 (p604).
*
* This revision: 2014 November 7
*
* SOFA release 2018-01-30
*
* Copyright (C) 2018 IAU SOFA Board. See notes at end.
*
*-----------------------------------------------------------------------
IMPLICIT NONE
INTEGER IY, IM, ID
DOUBLE PRECISION DJM0, DJM
INTEGER J, NDAYS, MY, IYPMY
* Earliest year allowed (4800BC)
INTEGER IYMIN
PARAMETER ( IYMIN = -4799 )
* Month lengths in days
INTEGER MTAB(12)
DATA MTAB / 31, 28, 31, 30, 31, 30, 31, 31, 30, 31, 30, 31 /
* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
* Preset status.
J = 0
* Validate year.
IF ( IY.LT.IYMIN ) THEN
J = -1
ELSE
* Validate month.
IF ( IM.GE.1 .AND. IM.LE.12 ) THEN
* Days in current month.
NDAYS = MTAB(IM)
* Allow for leap year.
IF ( IM .EQ. 2 ) THEN
IF ( MOD(IY,4) .EQ. 0 ) NDAYS = 29
IF ( MOD(IY,100).EQ.0 .AND.
: MOD(IY,400).NE.0 ) NDAYS = 28
END IF
* Validate day.
IF ( ID.LT.1 .OR. ID.GT.NDAYS ) J = -3
* Result.
MY = ( IM - 14 ) / 12
IYPMY = IY + MY
DJM0 = 2400000.5D0
DJM = DBLE( ( 1461 * ( IYPMY + 4800 ) ) / 4
: + ( 367 * ( IM-2 - 12*MY ) ) / 12
: - ( 3 * ( ( IYPMY + 4900 ) / 100 ) ) / 4
: + ID - 2432076)
* Bad month
ELSE
J = -2
END IF
END IF
* Finished.
*+----------------------------------------------------------------------
*
* Copyright (C) 2018
* Standards Of Fundamental Astronomy Board
* of the International Astronomical Union.
*
* =====================
* SOFA Software License
* =====================
*
* NOTICE TO USER:
*
* BY USING THIS SOFTWARE YOU ACCEPT THE FOLLOWING SIX TERMS AND
* CONDITIONS WHICH APPLY TO ITS USE.
*
* 1. The Software is owned by the IAU SOFA Board ("SOFA").
*
* 2. Permission is granted to anyone to use the SOFA software for any
* purpose, including commercial applications, free of charge and
* without payment of royalties, subject to the conditions and
* restrictions listed below.
*
* 3. You (the user) may copy and distribute SOFA source code to others,
* and use and adapt its code and algorithms in your own software,
* on a world-wide, royalty-free basis. That portion of your
* distribution that does not consist of intact and unchanged copies
* of SOFA source code files is a "derived work" that must comply
* with the following requirements:
*
* a) Your work shall be marked or carry a statement that it
* (i) uses routines and computations derived by you from
* software provided by SOFA under license to you; and
* (ii) does not itself constitute software provided by and/or
* endorsed by SOFA.
*
* b) The source code of your derived work must contain descriptions
* of how the derived work is based upon, contains and/or differs
* from the original SOFA software.
*
* c) The names of all routines in your derived work shall not
* include the prefix "iau" or "sofa" or trivial modifications
* thereof such as changes of case.
*
* d) The origin of the SOFA components of your derived work must
* not be misrepresented; you must not claim that you wrote the
* original software, nor file a patent application for SOFA
* software or algorithms embedded in the SOFA software.
*
* e) These requirements must be reproduced intact in any source
* distribution and shall apply to anyone to whom you have
* granted a further right to modify the source code of your
* derived work.
*
* Note that, as originally distributed, the SOFA software is
* intended to be a definitive implementation of the IAU standards,
* and consequently third-party modifications are discouraged. All
* variations, no matter how minor, must be explicitly marked as
* such, as explained above.
*
* 4. You shall not cause the SOFA software to be brought into
* disrepute, either by misuse, or use for inappropriate tasks, or
* by inappropriate modification.
*
* 5. The SOFA software is provided "as is" and SOFA makes no warranty
* as to its use or performance. SOFA does not and cannot warrant
* the performance or results which the user may obtain by using the
* SOFA software. SOFA makes no warranties, express or implied, as
* to non-infringement of third party rights, merchantability, or
* fitness for any particular purpose. In no event will SOFA be
* liable to the user for any consequential, incidental, or special
* damages, including any lost profits or lost savings, even if a
* SOFA representative has been advised of such damages, or for any
* claim by any third party.
*
* 6. The provision of any version of the SOFA software under the terms
* and conditions specified herein does not imply that future
* versions will also be made available under the same terms and
* conditions.
*
* In any published work or commercial product which uses the SOFA
* software directly, acknowledgement (see www.iausofa.org) is
* appreciated.
*
* Correspondence concerning SOFA software should be addressed as
* follows:
*
* By email: [email protected]
* By post: IAU SOFA Center
* HM Nautical Almanac Office
* UK Hydrographic Office
* Admiralty Way, Taunton
* Somerset, TA1 2DN
* United Kingdom
*
*-----------------------------------------------------------------------
END
SUBROUTINE iau_JD2CAL ( DJ1, DJ2, IY, IM, ID, FD, J )
*+
* - - - - - - - - - - -
* i a u _ J D 2 C A L
* - - - - - - - - - - -
*
* Julian Date to Gregorian year, month, day, and fraction of a day.
*
* This routine is part of the International Astronomical Union's
* SOFA (Standards of Fundamental Astronomy) software collection.
*
* Status: support routine.
*
* Given:
* DJ1,DJ2 d Julian Date (Notes 1, 2)
*
* Returned:
* IY i year
* IM i month
* ID i day
* FD d fraction of day
* J i status:
* 0 = OK
* -1 = unacceptable date (Note 1)
*
* Notes:
*
* 1) The earliest valid date is -68569.5 (-4900 March 1). The
* largest value accepted is 10^9.
*
* 2) The Julian Date is apportioned in any convenient way between
* the arguments DJ1 and DJ2. For example, JD=2450123.7 could
* be expressed in any of these ways, among others:
*
* DJ1 DJ2
*
* 2450123.7D0 0D0 (JD method)
* 2451545D0 -1421.3D0 (J2000 method)
* 2400000.5D0 50123.2D0 (MJD method)
* 2450123.5D0 0.2D0 (date & time method)
*
* 3) In early eras the conversion is from the "Proleptic Gregorian
* Calendar"; no account is taken of the date(s) of adoption of
* the Gregorian Calendar, nor is the AD/BC numbering convention
* observed.
*
* Reference:
*
* Explanatory Supplement to the Astronomical Almanac,
* P. Kenneth Seidelmann (ed), University Science Books (1992),
* Section 12.92 (p604).
*
* This revision: 2017 January 12
*
* SOFA release 2018-01-30
*
* Copyright (C) 2018 IAU SOFA Board. See notes at end.
*
*-----------------------------------------------------------------------
IMPLICIT NONE
DOUBLE PRECISION DJ1, DJ2
INTEGER IY, IM, ID
DOUBLE PRECISION FD
INTEGER J
* Minimum and maximum allowed JD
DOUBLE PRECISION DJMIN, DJMAX
PARAMETER ( DJMIN = -68569.5D0, DJMAX = 1D9 )
INTEGER JD, L, N, I, K
DOUBLE PRECISION DJ, D1, D2, F1, F2, F, D
* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
* Check if date is acceptable.
DJ = DJ1 + DJ2
IF ( DJ.LT.DJMIN .OR. DJ.GT.DJMAX ) THEN
J = -1
ELSE
J = 0
* Copy the date, big then small, and re-align to midnight.
IF ( DJ1 .GE. DJ2 ) THEN
D1 = DJ1
D2 = DJ2
ELSE
D1 = DJ2
D2 = DJ1
END IF
D2 = D2 - 0.5D0
* Separate day and fraction.
F1 = MOD(D1,1D0)
F2 = MOD(D2,1D0)
F = MOD(F1+F2,1D0)
IF ( F .LT. 0D0 ) F = F+1D0
D = ANINT(D1-F1) + ANINT(D2-F2) + ANINT(F1+F2-F)
JD = NINT(D) + 1
* Express day in Gregorian calendar.
L = JD + 68569
N = ( 4*L ) / 146097
L = L - ( 146097*N + 3 ) / 4
I = ( 4000 * (L+1) ) / 1461001
L = L - ( 1461*I ) / 4 + 31
K = ( 80*L ) / 2447
ID = L - ( 2447*K ) / 80
L = K / 11
IM = K + 2 - 12*L
IY = 100 * ( N-49 ) + I + L
FD = F
END IF
* Finished.
*+----------------------------------------------------------------------
*
* Copyright (C) 2018
* Standards Of Fundamental Astronomy Board
* of the International Astronomical Union.
*
* =====================
* SOFA Software License
* =====================
*
* NOTICE TO USER:
*
* BY USING THIS SOFTWARE YOU ACCEPT THE FOLLOWING SIX TERMS AND
* CONDITIONS WHICH APPLY TO ITS USE.
*
* 1. The Software is owned by the IAU SOFA Board ("SOFA").
*
* 2. Permission is granted to anyone to use the SOFA software for any
* purpose, including commercial applications, free of charge and
* without payment of royalties, subject to the conditions and
* restrictions listed below.
*
* 3. You (the user) may copy and distribute SOFA source code to others,
* and use and adapt its code and algorithms in your own software,
* on a world-wide, royalty-free basis. That portion of your
* distribution that does not consist of intact and unchanged copies
* of SOFA source code files is a "derived work" that must comply
* with the following requirements:
*
* a) Your work shall be marked or carry a statement that it
* (i) uses routines and computations derived by you from
* software provided by SOFA under license to you; and
* (ii) does not itself constitute software provided by and/or
* endorsed by SOFA.
*
* b) The source code of your derived work must contain descriptions
* of how the derived work is based upon, contains and/or differs
* from the original SOFA software.
*
* c) The names of all routines in your derived work shall not
* include the prefix "iau" or "sofa" or trivial modifications
* thereof such as changes of case.
*
* d) The origin of the SOFA components of your derived work must
* not be misrepresented; you must not claim that you wrote the
* original software, nor file a patent application for SOFA
* software or algorithms embedded in the SOFA software.
*
* e) These requirements must be reproduced intact in any source
* distribution and shall apply to anyone to whom you have
* granted a further right to modify the source code of your
* derived work.
*
* Note that, as originally distributed, the SOFA software is
* intended to be a definitive implementation of the IAU standards,
* and consequently third-party modifications are discouraged. All
* variations, no matter how minor, must be explicitly marked as
* such, as explained above.
*
* 4. You shall not cause the SOFA software to be brought into
* disrepute, either by misuse, or use for inappropriate tasks, or
* by inappropriate modification.
*
* 5. The SOFA software is provided "as is" and SOFA makes no warranty
* as to its use or performance. SOFA does not and cannot warrant
* the performance or results which the user may obtain by using the
* SOFA software. SOFA makes no warranties, express or implied, as
* to non-infringement of third party rights, merchantability, or
* fitness for any particular purpose. In no event will SOFA be
* liable to the user for any consequential, incidental, or special
* damages, including any lost profits or lost savings, even if a
* SOFA representative has been advised of such damages, or for any
* claim by any third party.
*
* 6. The provision of any version of the SOFA software under the terms
* and conditions specified herein does not imply that future
* versions will also be made available under the same terms and
* conditions.
*
* In any published work or commercial product which uses the SOFA
* software directly, acknowledgement (see www.iausofa.org) is
* appreciated.
*
* Correspondence concerning SOFA software should be addressed as
* follows:
*
* By email: [email protected]
* By post: IAU SOFA Center
* HM Nautical Almanac Office
* UK Hydrographic Office
* Admiralty Way, Taunton
* Somerset, TA1 2DN
* United Kingdom
*
*-----------------------------------------------------------------------
END
SUBROUTINE iau_PDP ( A, B, ADB )
*+
* - - - - - - - -
* i a u _ P D P
* - - - - - - - -
*
* p-vector inner (=scalar=dot) product.
*
* This routine is part of the International Astronomical Union's
* SOFA (Standards of Fundamental Astronomy) software collection.
*
* Status: vector/matrix support routine.
*
* Given:
* A d(3) first p-vector
* B d(3) second p-vector
*
* Returned:
* ADB d A . B
*
* This revision: 2000 November 25
*
* SOFA release 2018-01-30
*
* Copyright (C) 2018 IAU SOFA Board. See notes at end.
*
*-----------------------------------------------------------------------
IMPLICIT NONE
DOUBLE PRECISION A(3), B(3), ADB
DOUBLE PRECISION W
INTEGER I
* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
W = 0D0
DO 1 I=1,3
W = W + A(I)*B(I)
1 CONTINUE
ADB = W
* Finished.
*+----------------------------------------------------------------------
*
* Copyright (C) 2018
* Standards Of Fundamental Astronomy Board
* of the International Astronomical Union.
*
* =====================
* SOFA Software License
* =====================
*
* NOTICE TO USER:
*
* BY USING THIS SOFTWARE YOU ACCEPT THE FOLLOWING SIX TERMS AND
* CONDITIONS WHICH APPLY TO ITS USE.
*
* 1. The Software is owned by the IAU SOFA Board ("SOFA").
*
* 2. Permission is granted to anyone to use the SOFA software for any
* purpose, including commercial applications, free of charge and
* without payment of royalties, subject to the conditions and
* restrictions listed below.
*
* 3. You (the user) may copy and distribute SOFA source code to others,
* and use and adapt its code and algorithms in your own software,
* on a world-wide, royalty-free basis. That portion of your
* distribution that does not consist of intact and unchanged copies
* of SOFA source code files is a "derived work" that must comply
* with the following requirements:
*
* a) Your work shall be marked or carry a statement that it
* (i) uses routines and computations derived by you from
* software provided by SOFA under license to you; and
* (ii) does not itself constitute software provided by and/or
* endorsed by SOFA.
*
* b) The source code of your derived work must contain descriptions
* of how the derived work is based upon, contains and/or differs
* from the original SOFA software.
*
* c) The names of all routines in your derived work shall not
* include the prefix "iau" or "sofa" or trivial modifications
* thereof such as changes of case.
*
* d) The origin of the SOFA components of your derived work must
* not be misrepresented; you must not claim that you wrote the
* original software, nor file a patent application for SOFA
* software or algorithms embedded in the SOFA software.
*
* e) These requirements must be reproduced intact in any source
* distribution and shall apply to anyone to whom you have
* granted a further right to modify the source code of your
* derived work.
*
* Note that, as originally distributed, the SOFA software is
* intended to be a definitive implementation of the IAU standards,
* and consequently third-party modifications are discouraged. All
* variations, no matter how minor, must be explicitly marked as
* such, as explained above.
*
* 4. You shall not cause the SOFA software to be brought into
* disrepute, either by misuse, or use for inappropriate tasks, or
* by inappropriate modification.
*
* 5. The SOFA software is provided "as is" and SOFA makes no warranty
* as to its use or performance. SOFA does not and cannot warrant
* the performance or results which the user may obtain by using the
* SOFA software. SOFA makes no warranties, express or implied, as
* to non-infringement of third party rights, merchantability, or
* fitness for any particular purpose. In no event will SOFA be
* liable to the user for any consequential, incidental, or special
* damages, including any lost profits or lost savings, even if a
* SOFA representative has been advised of such damages, or for any
* claim by any third party.
*
* 6. The provision of any version of the SOFA software under the terms
* and conditions specified herein does not imply that future
* versions will also be made available under the same terms and
* conditions.
*
* In any published work or commercial product which uses the SOFA
* software directly, acknowledgement (see www.iausofa.org) is
* appreciated.
*
* Correspondence concerning SOFA software should be addressed as
* follows:
*
* By email: [email protected]
* By post: IAU SOFA Center
* HM Nautical Almanac Office
* UK Hydrographic Office
* Admiralty Way, Taunton
* Somerset, TA1 2DN
* United Kingdom
*
*-----------------------------------------------------------------------
END