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#include "erfa.h" |
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#include |
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int eraJd2cal(double dj1, double dj2, |
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int *iy, int *im, int *id, double *fd) |
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/* |
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** - - - - - - - - - - |
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** e r a J d 2 c a l |
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** - - - - - - - - - - |
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** |
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** Julian Date to Gregorian year, month, day, and fraction of a day. |
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** |
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** Given: |
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** dj1,dj2 double Julian Date (Notes 1, 2) |
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** |
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** Returned (arguments): |
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** iy int year |
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** im int month |
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** id int day |
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** fd double fraction of day |
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** |
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** Returned (function value): |
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** int status: |
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** 0 = OK |
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** -1 = unacceptable date (Note 1) |
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** |
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** Notes: |
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** |
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** 1) The earliest valid date is -68569.5 (-4900 March 1). The |
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** largest value accepted is 1e9. |
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** |
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** 2) The Julian Date is apportioned in any convenient way between |
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** the arguments dj1 and dj2. For example, JD=2450123.7 could |
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** be expressed in any of these ways, among others: |
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** |
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** dj1 dj2 |
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** |
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** 2450123.7 0.0 (JD method) |
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** 2451545.0 -1421.3 (J2000 method) |
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** 2400000.5 50123.2 (MJD method) |
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** 2450123.5 0.2 (date & time method) |
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** |
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** Separating integer and fraction uses the "compensated summation" |
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** algorithm of Kahan-Neumaier to preserve as much precision as |
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** possible irrespective of the jd1+jd2 apportionment. |
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** |
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** 3) In early eras the conversion is from the "proleptic Gregorian |
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** calendar"; no account is taken of the date(s) of adoption of |
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** the Gregorian calendar, nor is the AD/BC numbering convention |
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** observed. |
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** |
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** References: |
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** |
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** Explanatory Supplement to the Astronomical Almanac, |
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** P. Kenneth Seidelmann (ed), University Science Books (1992), |
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** Section 12.92 (p604). |
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** |
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** Klein, A., A Generalized Kahan-Babuska-Summation-Algorithm. |
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** Computing 76, 279-293 (2006), Section 3. |
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** |
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** Copyright (C) 2013-2020, NumFOCUS Foundation. |
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** Derived, with permission, from the SOFA library. See notes at end of file. |
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*/ |
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{ |
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/* Minimum and maximum allowed JD */ |
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const double DJMIN = -68569.5; |
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const double DJMAX = 1e9; |
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long jd, i, l, n, k; |
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double dj, f1, f2, d, s, cs, v[2], x, t, f; |
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/* Verify date is acceptable. */ |
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dj = dj1 + dj2; |
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if (dj < DJMIN || dj > DJMAX) return -1; |
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/* Separate day and fraction (where -0.5 <= fraction < 0.5). */ |
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d = ERFA_DNINT(dj1); |
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f1 = dj1 - d; |
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jd = (long) d; |
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d = ERFA_DNINT(dj2); |
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f2 = dj2 - d; |
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jd += (long) d; |
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/* Compute f1+f2+0.5 using compensated summation (Klein 2006). */ |
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s = 0.5; |
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cs = 0.0; |
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v[0] = f1; |
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v[1] = f2; |
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15
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for ( i = 0; i < 2; i++ ) { |
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x = v[i]; |
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t = s + x; |
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cs += fabs(s) >= fabs(x) ? (s-t) + x : (x-t) + s; |
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s = t; |
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if ( s >= 1.0 ) { |
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jd++; |
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s -= 1.0; |
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} |
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} |
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f = s + cs; |
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cs = f - s; |
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/* Deal with negative f. */ |
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if ( f < 0.0 ) { |
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/* Compensated summation: assume that |s| <= 1.0. */ |
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f = s + 1.0; |
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cs += (1.0-f) + s; |
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s = f; |
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f = s + cs; |
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cs = f - s; |
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4
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jd--; |
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} |
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/* Deal with f that is 1.0 or more (when rounded to double). */ |
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5
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if ( (f-1.0) >= -DBL_EPSILON/4.0 ) { |
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/* Compensated summation: assume that |s| <= 1.0. */ |
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0
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t = s - 1.0; |
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0
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cs += (s-t) - 1.0; |
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s = t; |
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0
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f = s + cs; |
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0
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if ( -DBL_EPSILON/2.0 < f ) { |
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jd++; |
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0
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f = ERFA_GMAX(f, 0.0); |
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} |
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} |
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129
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/* Express day in Gregorian calendar. */ |
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l = jd + 68569L; |
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n = (4L * l) / 146097L; |
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l -= (146097L * n + 3L) / 4L; |
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i = (4000L * (l + 1L)) / 1461001L; |
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l -= (1461L * i) / 4L - 31L; |
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k = (80L * l) / 2447L; |
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*id = (int) (l - (2447L * k) / 80L); |
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l = k / 11L; |
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*im = (int) (k + 2L - 12L * l); |
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*iy = (int) (100L * (n - 49L) + i + l); |
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*fd = f; |
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return 0; |
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} |
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/*---------------------------------------------------------------------- |
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** |
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** |
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** Copyright (C) 2013-2020, NumFOCUS Foundation. |
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** All rights reserved. |
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** |
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** This library is derived, with permission, from the International |
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** Astronomical Union's "Standards of Fundamental Astronomy" library, |
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** available from http://www.iausofa.org. |
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** |
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** The ERFA version is intended to retain identical functionality to |
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** the SOFA library, but made distinct through different function and |
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** file names, as set out in the SOFA license conditions. The SOFA |
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** original has a role as a reference standard for the IAU and IERS, |
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** and consequently redistribution is permitted only in its unaltered |
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** state. The ERFA version is not subject to this restriction and |
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** therefore can be included in distributions which do not support the |
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** concept of "read only" software. |
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** |
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** Although the intent is to replicate the SOFA API (other than |
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** replacement of prefix names) and results (with the exception of |
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** bugs; any that are discovered will be fixed), SOFA is not |
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** responsible for any errors found in this version of the library. |
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** |
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** If you wish to acknowledge the SOFA heritage, please acknowledge |
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** that you are using a library derived from SOFA, rather than SOFA |
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** itself. |
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** |
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** |
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** TERMS AND CONDITIONS |
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** |
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** Redistribution and use in source and binary forms, with or without |
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** modification, are permitted provided that the following conditions |
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** are met: |
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** |
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** 1 Redistributions of source code must retain the above copyright |
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** notice, this list of conditions and the following disclaimer. |
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** |
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** 2 Redistributions in binary form must reproduce the above copyright |
184
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** notice, this list of conditions and the following disclaimer in |
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** the documentation and/or other materials provided with the |
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** distribution. |
187
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** |
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** 3 Neither the name of the Standards Of Fundamental Astronomy Board, |
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** the International Astronomical Union nor the names of its |
190
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** contributors may be used to endorse or promote products derived |
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** from this software without specific prior written permission. |
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** |
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** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS |
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** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT |
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** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS |
196
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** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE |
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** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, |
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** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, |
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** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; |
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** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER |
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** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT |
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** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN |
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** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE |
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** POSSIBILITY OF SUCH DAMAGE. |
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** |
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*/ |