| line | stmt | bran | cond | sub | pod | time | code | 
| 1 |  |  |  |  |  |  | #include "erfa.h" | 
| 2 |  |  |  |  |  |  |  | 
| 3 | 0 |  |  |  |  |  | void eraPn00(double date1, double date2, double dpsi, double deps, | 
| 4 |  |  |  |  |  |  | double *epsa, | 
| 5 |  |  |  |  |  |  | double rb[3][3], double rp[3][3], double rbp[3][3], | 
| 6 |  |  |  |  |  |  | double rn[3][3], double rbpn[3][3]) | 
| 7 |  |  |  |  |  |  | /* | 
| 8 |  |  |  |  |  |  | **  - - - - - - - - | 
| 9 |  |  |  |  |  |  | **   e r a P n 0 0 | 
| 10 |  |  |  |  |  |  | **  - - - - - - - - | 
| 11 |  |  |  |  |  |  | ** | 
| 12 |  |  |  |  |  |  | **  Precession-nutation, IAU 2000 model:  a multi-purpose function, | 
| 13 |  |  |  |  |  |  | **  supporting classical (equinox-based) use directly and CIO-based | 
| 14 |  |  |  |  |  |  | **  use indirectly. | 
| 15 |  |  |  |  |  |  | ** | 
| 16 |  |  |  |  |  |  | **  Given: | 
| 17 |  |  |  |  |  |  | **     date1,date2  double          TT as a 2-part Julian Date (Note 1) | 
| 18 |  |  |  |  |  |  | **     dpsi,deps    double          nutation (Note 2) | 
| 19 |  |  |  |  |  |  | ** | 
| 20 |  |  |  |  |  |  | **  Returned: | 
| 21 |  |  |  |  |  |  | **     epsa         double          mean obliquity (Note 3) | 
| 22 |  |  |  |  |  |  | **     rb           double[3][3]    frame bias matrix (Note 4) | 
| 23 |  |  |  |  |  |  | **     rp           double[3][3]    precession matrix (Note 5) | 
| 24 |  |  |  |  |  |  | **     rbp          double[3][3]    bias-precession matrix (Note 6) | 
| 25 |  |  |  |  |  |  | **     rn           double[3][3]    nutation matrix (Note 7) | 
| 26 |  |  |  |  |  |  | **     rbpn         double[3][3]    GCRS-to-true matrix (Note 8) | 
| 27 |  |  |  |  |  |  | ** | 
| 28 |  |  |  |  |  |  | **  Notes: | 
| 29 |  |  |  |  |  |  | ** | 
| 30 |  |  |  |  |  |  | **  1) The TT date date1+date2 is a Julian Date, apportioned in any | 
| 31 |  |  |  |  |  |  | **     convenient way between the two arguments.  For example, | 
| 32 |  |  |  |  |  |  | **     JD(TT)=2450123.7 could be expressed in any of these ways, | 
| 33 |  |  |  |  |  |  | **     among others: | 
| 34 |  |  |  |  |  |  | ** | 
| 35 |  |  |  |  |  |  | **            date1          date2 | 
| 36 |  |  |  |  |  |  | ** | 
| 37 |  |  |  |  |  |  | **         2450123.7           0.0       (JD method) | 
| 38 |  |  |  |  |  |  | **         2451545.0       -1421.3       (J2000 method) | 
| 39 |  |  |  |  |  |  | **         2400000.5       50123.2       (MJD method) | 
| 40 |  |  |  |  |  |  | **         2450123.5           0.2       (date & time method) | 
| 41 |  |  |  |  |  |  | ** | 
| 42 |  |  |  |  |  |  | **     The JD method is the most natural and convenient to use in | 
| 43 |  |  |  |  |  |  | **     cases where the loss of several decimal digits of resolution | 
| 44 |  |  |  |  |  |  | **     is acceptable.  The J2000 method is best matched to the way | 
| 45 |  |  |  |  |  |  | **     the argument is handled internally and will deliver the | 
| 46 |  |  |  |  |  |  | **     optimum resolution.  The MJD method and the date & time methods | 
| 47 |  |  |  |  |  |  | **     are both good compromises between resolution and convenience. | 
| 48 |  |  |  |  |  |  | ** | 
| 49 |  |  |  |  |  |  | **  2) The caller is responsible for providing the nutation components; | 
| 50 |  |  |  |  |  |  | **     they are in longitude and obliquity, in radians and are with | 
| 51 |  |  |  |  |  |  | **     respect to the equinox and ecliptic of date.  For high-accuracy | 
| 52 |  |  |  |  |  |  | **     applications, free core nutation should be included as well as | 
| 53 |  |  |  |  |  |  | **     any other relevant corrections to the position of the CIP. | 
| 54 |  |  |  |  |  |  | ** | 
| 55 |  |  |  |  |  |  | **  3) The returned mean obliquity is consistent with the IAU 2000 | 
| 56 |  |  |  |  |  |  | **     precession-nutation models. | 
| 57 |  |  |  |  |  |  | ** | 
| 58 |  |  |  |  |  |  | **  4) The matrix rb transforms vectors from GCRS to J2000.0 mean | 
| 59 |  |  |  |  |  |  | **     equator and equinox by applying frame bias. | 
| 60 |  |  |  |  |  |  | ** | 
| 61 |  |  |  |  |  |  | **  5) The matrix rp transforms vectors from J2000.0 mean equator and | 
| 62 |  |  |  |  |  |  | **     equinox to mean equator and equinox of date by applying | 
| 63 |  |  |  |  |  |  | **     precession. | 
| 64 |  |  |  |  |  |  | ** | 
| 65 |  |  |  |  |  |  | **  6) The matrix rbp transforms vectors from GCRS to mean equator and | 
| 66 |  |  |  |  |  |  | **     equinox of date by applying frame bias then precession.  It is | 
| 67 |  |  |  |  |  |  | **     the product rp x rb. | 
| 68 |  |  |  |  |  |  | ** | 
| 69 |  |  |  |  |  |  | **  7) The matrix rn transforms vectors from mean equator and equinox of | 
| 70 |  |  |  |  |  |  | **     date to true equator and equinox of date by applying the nutation | 
| 71 |  |  |  |  |  |  | **     (luni-solar + planetary). | 
| 72 |  |  |  |  |  |  | ** | 
| 73 |  |  |  |  |  |  | **  8) The matrix rbpn transforms vectors from GCRS to true equator and | 
| 74 |  |  |  |  |  |  | **     equinox of date.  It is the product rn x rbp, applying frame | 
| 75 |  |  |  |  |  |  | **     bias, precession and nutation in that order. | 
| 76 |  |  |  |  |  |  | ** | 
| 77 |  |  |  |  |  |  | **  9) It is permissible to re-use the same array in the returned | 
| 78 |  |  |  |  |  |  | **     arguments.  The arrays are filled in the order given. | 
| 79 |  |  |  |  |  |  | ** | 
| 80 |  |  |  |  |  |  | **  Called: | 
| 81 |  |  |  |  |  |  | **     eraPr00      IAU 2000 precession adjustments | 
| 82 |  |  |  |  |  |  | **     eraObl80     mean obliquity, IAU 1980 | 
| 83 |  |  |  |  |  |  | **     eraBp00      frame bias and precession matrices, IAU 2000 | 
| 84 |  |  |  |  |  |  | **     eraCr        copy r-matrix | 
| 85 |  |  |  |  |  |  | **     eraNumat     form nutation matrix | 
| 86 |  |  |  |  |  |  | **     eraRxr       product of two r-matrices | 
| 87 |  |  |  |  |  |  | ** | 
| 88 |  |  |  |  |  |  | **  Reference: | 
| 89 |  |  |  |  |  |  | ** | 
| 90 |  |  |  |  |  |  | **     Capitaine, N., Chapront, J., Lambert, S. and Wallace, P., | 
| 91 |  |  |  |  |  |  | **     "Expressions for the Celestial Intermediate Pole and Celestial | 
| 92 |  |  |  |  |  |  | **     Ephemeris Origin consistent with the IAU 2000A precession- | 
| 93 |  |  |  |  |  |  | **     nutation model", Astron.Astrophys. 400, 1145-1154 (2003) | 
| 94 |  |  |  |  |  |  | ** | 
| 95 |  |  |  |  |  |  | **     n.b. The celestial ephemeris origin (CEO) was renamed "celestial | 
| 96 |  |  |  |  |  |  | **          intermediate origin" (CIO) by IAU 2006 Resolution 2. | 
| 97 |  |  |  |  |  |  | ** | 
| 98 |  |  |  |  |  |  | **  Copyright (C) 2013-2019, NumFOCUS Foundation. | 
| 99 |  |  |  |  |  |  | **  Derived, with permission, from the SOFA library.  See notes at end of file. | 
| 100 |  |  |  |  |  |  | */ | 
| 101 |  |  |  |  |  |  | { | 
| 102 |  |  |  |  |  |  | double dpsipr, depspr, rbpw[3][3], rnw[3][3]; | 
| 103 |  |  |  |  |  |  |  | 
| 104 |  |  |  |  |  |  |  | 
| 105 |  |  |  |  |  |  | /* IAU 2000 precession-rate adjustments. */ | 
| 106 | 0 |  |  |  |  |  | eraPr00(date1, date2, &dpsipr, &depspr); | 
| 107 |  |  |  |  |  |  |  | 
| 108 |  |  |  |  |  |  | /* Mean obliquity, consistent with IAU 2000 precession-nutation. */ | 
| 109 | 0 |  |  |  |  |  | *epsa = eraObl80(date1, date2) + depspr; | 
| 110 |  |  |  |  |  |  |  | 
| 111 |  |  |  |  |  |  | /* Frame bias and precession matrices and their product. */ | 
| 112 | 0 |  |  |  |  |  | eraBp00(date1, date2, rb, rp, rbpw); | 
| 113 | 0 |  |  |  |  |  | eraCr(rbpw, rbp); | 
| 114 |  |  |  |  |  |  |  | 
| 115 |  |  |  |  |  |  | /* Nutation matrix. */ | 
| 116 | 0 |  |  |  |  |  | eraNumat(*epsa, dpsi, deps, rnw); | 
| 117 | 0 |  |  |  |  |  | eraCr(rnw, rn); | 
| 118 |  |  |  |  |  |  |  | 
| 119 |  |  |  |  |  |  | /* Bias-precession-nutation matrix (classical). */ | 
| 120 | 0 |  |  |  |  |  | eraRxr(rnw, rbpw, rbpn); | 
| 121 |  |  |  |  |  |  |  | 
| 122 | 0 |  |  |  |  |  | return; | 
| 123 |  |  |  |  |  |  |  | 
| 124 |  |  |  |  |  |  | } | 
| 125 |  |  |  |  |  |  | /*---------------------------------------------------------------------- | 
| 126 |  |  |  |  |  |  | ** | 
| 127 |  |  |  |  |  |  | ** | 
| 128 |  |  |  |  |  |  | **  Copyright (C) 2013-2019, NumFOCUS Foundation. | 
| 129 |  |  |  |  |  |  | **  All rights reserved. | 
| 130 |  |  |  |  |  |  | ** | 
| 131 |  |  |  |  |  |  | **  This library is derived, with permission, from the International | 
| 132 |  |  |  |  |  |  | **  Astronomical Union's "Standards of Fundamental Astronomy" library, | 
| 133 |  |  |  |  |  |  | **  available from http://www.iausofa.org. | 
| 134 |  |  |  |  |  |  | ** | 
| 135 |  |  |  |  |  |  | **  The ERFA version is intended to retain identical functionality to | 
| 136 |  |  |  |  |  |  | **  the SOFA library, but made distinct through different function and | 
| 137 |  |  |  |  |  |  | **  file names, as set out in the SOFA license conditions.  The SOFA | 
| 138 |  |  |  |  |  |  | **  original has a role as a reference standard for the IAU and IERS, | 
| 139 |  |  |  |  |  |  | **  and consequently redistribution is permitted only in its unaltered | 
| 140 |  |  |  |  |  |  | **  state.  The ERFA version is not subject to this restriction and | 
| 141 |  |  |  |  |  |  | **  therefore can be included in distributions which do not support the | 
| 142 |  |  |  |  |  |  | **  concept of "read only" software. | 
| 143 |  |  |  |  |  |  | ** | 
| 144 |  |  |  |  |  |  | **  Although the intent is to replicate the SOFA API (other than | 
| 145 |  |  |  |  |  |  | **  replacement of prefix names) and results (with the exception of | 
| 146 |  |  |  |  |  |  | **  bugs;  any that are discovered will be fixed), SOFA is not | 
| 147 |  |  |  |  |  |  | **  responsible for any errors found in this version of the library. | 
| 148 |  |  |  |  |  |  | ** | 
| 149 |  |  |  |  |  |  | **  If you wish to acknowledge the SOFA heritage, please acknowledge | 
| 150 |  |  |  |  |  |  | **  that you are using a library derived from SOFA, rather than SOFA | 
| 151 |  |  |  |  |  |  | **  itself. | 
| 152 |  |  |  |  |  |  | ** | 
| 153 |  |  |  |  |  |  | ** | 
| 154 |  |  |  |  |  |  | **  TERMS AND CONDITIONS | 
| 155 |  |  |  |  |  |  | ** | 
| 156 |  |  |  |  |  |  | **  Redistribution and use in source and binary forms, with or without | 
| 157 |  |  |  |  |  |  | **  modification, are permitted provided that the following conditions | 
| 158 |  |  |  |  |  |  | **  are met: | 
| 159 |  |  |  |  |  |  | ** | 
| 160 |  |  |  |  |  |  | **  1 Redistributions of source code must retain the above copyright | 
| 161 |  |  |  |  |  |  | **    notice, this list of conditions and the following disclaimer. | 
| 162 |  |  |  |  |  |  | ** | 
| 163 |  |  |  |  |  |  | **  2 Redistributions in binary form must reproduce the above copyright | 
| 164 |  |  |  |  |  |  | **    notice, this list of conditions and the following disclaimer in | 
| 165 |  |  |  |  |  |  | **    the documentation and/or other materials provided with the | 
| 166 |  |  |  |  |  |  | **    distribution. | 
| 167 |  |  |  |  |  |  | ** | 
| 168 |  |  |  |  |  |  | **  3 Neither the name of the Standards Of Fundamental Astronomy Board, | 
| 169 |  |  |  |  |  |  | **    the International Astronomical Union nor the names of its | 
| 170 |  |  |  |  |  |  | **    contributors may be used to endorse or promote products derived | 
| 171 |  |  |  |  |  |  | **    from this software without specific prior written permission. | 
| 172 |  |  |  |  |  |  | ** | 
| 173 |  |  |  |  |  |  | **  THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS | 
| 174 |  |  |  |  |  |  | **  "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT | 
| 175 |  |  |  |  |  |  | **  LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS | 
| 176 |  |  |  |  |  |  | **  FOR A PARTICULAR PURPOSE ARE DISCLAIMED.  IN NO EVENT SHALL THE | 
| 177 |  |  |  |  |  |  | **  COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, | 
| 178 |  |  |  |  |  |  | **  INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, | 
| 179 |  |  |  |  |  |  | **  BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; | 
| 180 |  |  |  |  |  |  | **  LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER | 
| 181 |  |  |  |  |  |  | **  CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT | 
| 182 |  |  |  |  |  |  | **  LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN | 
| 183 |  |  |  |  |  |  | **  ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE | 
| 184 |  |  |  |  |  |  | **  POSSIBILITY OF SUCH DAMAGE. | 
| 185 |  |  |  |  |  |  | ** | 
| 186 |  |  |  |  |  |  | */ |