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#include "erfa.h" |
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void eraPn00(double date1, double date2, double dpsi, double deps, |
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double *epsa, |
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double rb[3][3], double rp[3][3], double rbp[3][3], |
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double rn[3][3], double rbpn[3][3]) |
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/* |
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** - - - - - - - - |
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** e r a P n 0 0 |
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** - - - - - - - - |
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** |
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** Precession-nutation, IAU 2000 model: a multi-purpose function, |
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** supporting classical (equinox-based) use directly and CIO-based |
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** use indirectly. |
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** |
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** Given: |
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** date1,date2 double TT as a 2-part Julian Date (Note 1) |
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** dpsi,deps double nutation (Note 2) |
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** |
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** Returned: |
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** epsa double mean obliquity (Note 3) |
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** rb double[3][3] frame bias matrix (Note 4) |
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** rp double[3][3] precession matrix (Note 5) |
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** rbp double[3][3] bias-precession matrix (Note 6) |
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** rn double[3][3] nutation matrix (Note 7) |
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** rbpn double[3][3] GCRS-to-true matrix (Note 8) |
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** |
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** Notes: |
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** |
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** 1) The TT date date1+date2 is a Julian Date, apportioned in any |
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** convenient way between the two arguments. For example, |
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** JD(TT)=2450123.7 could be expressed in any of these ways, |
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** among others: |
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** |
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** date1 date2 |
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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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** The JD method is the most natural and convenient to use in |
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** cases where the loss of several decimal digits of resolution |
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** is acceptable. The J2000 method is best matched to the way |
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** the argument is handled internally and will deliver the |
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** optimum resolution. The MJD method and the date & time methods |
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** are both good compromises between resolution and convenience. |
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** |
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** 2) The caller is responsible for providing the nutation components; |
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** they are in longitude and obliquity, in radians and are with |
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** respect to the equinox and ecliptic of date. For high-accuracy |
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** applications, free core nutation should be included as well as |
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** any other relevant corrections to the position of the CIP. |
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** |
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** 3) The returned mean obliquity is consistent with the IAU 2000 |
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** precession-nutation models. |
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** |
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** 4) The matrix rb transforms vectors from GCRS to J2000.0 mean |
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** equator and equinox by applying frame bias. |
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** |
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** 5) The matrix rp transforms vectors from J2000.0 mean equator and |
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** equinox to mean equator and equinox of date by applying |
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** precession. |
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** |
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** 6) The matrix rbp transforms vectors from GCRS to mean equator and |
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** equinox of date by applying frame bias then precession. It is |
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** the product rp x rb. |
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** |
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** 7) The matrix rn transforms vectors from mean equator and equinox of |
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** date to true equator and equinox of date by applying the nutation |
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** (luni-solar + planetary). |
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** |
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** 8) The matrix rbpn transforms vectors from GCRS to true equator and |
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** equinox of date. It is the product rn x rbp, applying frame |
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** bias, precession and nutation in that order. |
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** |
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** 9) It is permissible to re-use the same array in the returned |
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** arguments. The arrays are filled in the order given. |
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** |
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** Called: |
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** eraPr00 IAU 2000 precession adjustments |
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** eraObl80 mean obliquity, IAU 1980 |
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** eraBp00 frame bias and precession matrices, IAU 2000 |
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** eraCr copy r-matrix |
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** eraNumat form nutation matrix |
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** eraRxr product of two r-matrices |
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** |
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** Reference: |
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** |
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** Capitaine, N., Chapront, J., Lambert, S. and Wallace, P., |
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** "Expressions for the Celestial Intermediate Pole and Celestial |
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** Ephemeris Origin consistent with the IAU 2000A precession- |
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** nutation model", Astron.Astrophys. 400, 1145-1154 (2003) |
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** |
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** n.b. The celestial ephemeris origin (CEO) was renamed "celestial |
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** intermediate origin" (CIO) by IAU 2006 Resolution 2. |
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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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double dpsipr, depspr, rbpw[3][3], rnw[3][3]; |
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/* IAU 2000 precession-rate adjustments. */ |
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eraPr00(date1, date2, &dpsipr, &depspr); |
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/* Mean obliquity, consistent with IAU 2000 precession-nutation. */ |
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*epsa = eraObl80(date1, date2) + depspr; |
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/* Frame bias and precession matrices and their product. */ |
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eraBp00(date1, date2, rb, rp, rbpw); |
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eraCr(rbpw, rbp); |
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/* Nutation matrix. */ |
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eraNumat(*epsa, dpsi, deps, rnw); |
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eraCr(rnw, rn); |
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/* Bias-precession-nutation matrix (classical). */ |
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eraRxr(rnw, rbpw, rbpn); |
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return; |
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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 |
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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. |
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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 |
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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 |
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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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*/ |