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#include "erfa.h" |
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void eraAticq(double ri, double di, eraASTROM *astrom, |
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double *rc, double *dc) |
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/* |
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** - - - - - - - - - |
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** e r a A t i c q |
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** - - - - - - - - - |
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** |
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** Quick CIRS RA,Dec to ICRS astrometric place, given the star- |
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** independent astrometry parameters. |
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** |
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** Use of this function is appropriate when efficiency is important and |
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** where many star positions are all to be transformed for one date. |
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** The star-independent astrometry parameters can be obtained by |
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** calling one of the functions eraApci[13], eraApcg[13], eraApco[13] |
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** or eraApcs[13]. |
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** |
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** Given: |
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** ri,di double CIRS RA,Dec (radians) |
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** astrom eraASTROM* star-independent astrometry parameters: |
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** pmt double PM time interval (SSB, Julian years) |
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** eb double[3] SSB to observer (vector, au) |
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** eh double[3] Sun to observer (unit vector) |
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** em double distance from Sun to observer (au) |
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** v double[3] barycentric observer velocity (vector, c) |
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** bm1 double sqrt(1-|v|^2): reciprocal of Lorenz factor |
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** bpn double[3][3] bias-precession-nutation matrix |
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** along double longitude + s' (radians) |
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** xpl double polar motion xp wrt local meridian (radians) |
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** ypl double polar motion yp wrt local meridian (radians) |
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** sphi double sine of geodetic latitude |
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** cphi double cosine of geodetic latitude |
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** diurab double magnitude of diurnal aberration vector |
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** eral double "local" Earth rotation angle (radians) |
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** refa double refraction constant A (radians) |
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** refb double refraction constant B (radians) |
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** |
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** Returned: |
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** rc,dc double ICRS astrometric RA,Dec (radians) |
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** |
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** Notes: |
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** |
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** 1) Only the Sun is taken into account in the light deflection |
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** correction. |
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** |
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** 2) Iterative techniques are used for the aberration and light |
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** deflection corrections so that the functions eraAtic13 (or |
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** eraAticq) and eraAtci13 (or eraAtciq) are accurate inverses; |
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** even at the edge of the Sun's disk the discrepancy is only about |
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** 1 nanoarcsecond. |
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** |
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** Called: |
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** eraS2c spherical coordinates to unit vector |
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** eraTrxp product of transpose of r-matrix and p-vector |
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** eraZp zero p-vector |
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** eraAb stellar aberration |
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** eraLdsun light deflection by the Sun |
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** eraC2s p-vector to spherical |
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** eraAnp normalize angle into range +/- pi |
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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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int j, i; |
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double pi[3], ppr[3], pnat[3], pco[3], w, d[3], before[3], r2, r, |
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after[3]; |
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/* CIRS RA,Dec to Cartesian. */ |
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eraS2c(ri, di, pi); |
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/* Bias-precession-nutation, giving GCRS proper direction. */ |
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eraTrxp(astrom->bpn, pi, ppr); |
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/* Aberration, giving GCRS natural direction. */ |
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eraZp(d); |
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for (j = 0; j < 2; j++) { |
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r2 = 0.0; |
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for (i = 0; i < 3; i++) { |
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w = ppr[i] - d[i]; |
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before[i] = w; |
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r2 += w*w; |
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} |
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r = sqrt(r2); |
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for (i = 0; i < 3; i++) { |
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before[i] /= r; |
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} |
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eraAb(before, astrom->v, astrom->em, astrom->bm1, after); |
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r2 = 0.0; |
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for (i = 0; i < 3; i++) { |
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d[i] = after[i] - before[i]; |
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w = ppr[i] - d[i]; |
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pnat[i] = w; |
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r2 += w*w; |
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} |
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r = sqrt(r2); |
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for (i = 0; i < 3; i++) { |
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pnat[i] /= r; |
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} |
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} |
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/* Light deflection by the Sun, giving BCRS coordinate direction. */ |
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eraZp(d); |
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for (j = 0; j < 5; j++) { |
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r2 = 0.0; |
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for (i = 0; i < 3; i++) { |
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w = pnat[i] - d[i]; |
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before[i] = w; |
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r2 += w*w; |
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} |
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r = sqrt(r2); |
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for (i = 0; i < 3; i++) { |
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before[i] /= r; |
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} |
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eraLdsun(before, astrom->eh, astrom->em, after); |
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r2 = 0.0; |
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for (i = 0; i < 3; i++) { |
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d[i] = after[i] - before[i]; |
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w = pnat[i] - d[i]; |
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pco[i] = w; |
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r2 += w*w; |
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} |
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r = sqrt(r2); |
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for (i = 0; i < 3; i++) { |
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pco[i] /= r; |
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} |
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} |
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/* ICRS astrometric RA,Dec. */ |
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eraC2s(pco, &w, dc); |
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*rc = eraAnp(w); |
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/* Finished. */ |
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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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*/ |