1 | #include "erfa.h"
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2 |
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3 | void eraAtciqn(double rc, double dc, double pr, double pd,
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4 | double px, double rv, eraASTROM *astrom,
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5 | int n, eraLDBODY b[], double *ri, double *di)
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6 | /*
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7 | ** - - - - - - - - - -
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8 | ** e r a A t c i q n
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9 | ** - - - - - - - - - -
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10 | **
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11 | ** Quick ICRS, epoch J2000.0, to CIRS transformation, given precomputed
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12 | ** star-independent astrometry parameters plus a list of light-
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13 | ** deflecting bodies.
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14 | **
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15 | ** Use of this function is appropriate when efficiency is important and
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16 | ** where many star positions are to be transformed for one date. The
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17 | ** star-independent parameters can be obtained by calling one of the
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18 | ** functions eraApci[13], eraApcg[13], eraApco[13] or eraApcs[13].
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19 | **
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20 | **
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21 | ** If the only light-deflecting body to be taken into account is the
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22 | ** Sun, the eraAtciq function can be used instead. If in addition the
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23 | ** parallax and proper motions are zero, the eraAtciqz function can be
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24 | ** used.
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25 | **
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26 | ** Given:
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27 | ** rc,dc double ICRS RA,Dec at J2000.0 (radians)
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28 | ** pr double RA proper motion (radians/year; Note 3)
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29 | ** pd double Dec proper motion (radians/year)
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30 | ** px double parallax (arcsec)
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31 | ** rv double radial velocity (km/s, +ve if receding)
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32 | ** astrom eraASTROM* star-independent astrometry parameters:
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33 | ** pmt double PM time interval (SSB, Julian years)
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34 | ** eb double[3] SSB to observer (vector, au)
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35 | ** eh double[3] Sun to observer (unit vector)
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36 | ** em double distance from Sun to observer (au)
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37 | ** v double[3] barycentric observer velocity (vector, c)
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38 | ** bm1 double sqrt(1-|v|^2): reciprocal of Lorenz factor
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39 | ** bpn double[3][3] bias-precession-nutation matrix
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40 | ** along double longitude + s' (radians)
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41 | ** xpl double polar motion xp wrt local meridian (radians)
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42 | ** ypl double polar motion yp wrt local meridian (radians)
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43 | ** sphi double sine of geodetic latitude
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44 | ** cphi double cosine of geodetic latitude
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45 | ** diurab double magnitude of diurnal aberration vector
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46 | ** eral double "local" Earth rotation angle (radians)
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47 | ** refa double refraction constant A (radians)
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48 | ** refb double refraction constant B (radians)
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49 | ** n int number of bodies (Note 3)
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50 | ** b eraLDBODY[n] data for each of the n bodies (Notes 3,4):
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51 | ** bm double mass of the body (solar masses, Note 5)
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52 | ** dl double deflection limiter (Note 6)
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53 | ** pv [2][3] barycentric PV of the body (au, au/day)
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54 | **
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55 | ** Returned:
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56 | ** ri,di double CIRS RA,Dec (radians)
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57 | **
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58 | ** Notes:
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59 | **
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60 | ** 1) Star data for an epoch other than J2000.0 (for example from the
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61 | ** Hipparcos catalog, which has an epoch of J1991.25) will require a
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62 | ** preliminary call to eraPmsafe before use.
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63 | **
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64 | ** 2) The proper motion in RA is dRA/dt rather than cos(Dec)*dRA/dt.
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65 | **
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66 | ** 3) The struct b contains n entries, one for each body to be
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67 | ** considered. If n = 0, no gravitational light deflection will be
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68 | ** applied, not even for the Sun.
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69 | **
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70 | ** 4) The struct b should include an entry for the Sun as well as for
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71 | ** any planet or other body to be taken into account. The entries
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72 | ** should be in the order in which the light passes the body.
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73 | **
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74 | ** 5) In the entry in the b struct for body i, the mass parameter
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75 | ** b[i].bm can, as required, be adjusted in order to allow for such
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76 | ** effects as quadrupole field.
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77 | **
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78 | ** 6) The deflection limiter parameter b[i].dl is phi^2/2, where phi is
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79 | ** the angular separation (in radians) between star and body at
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80 | ** which limiting is applied. As phi shrinks below the chosen
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81 | ** threshold, the deflection is artificially reduced, reaching zero
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82 | ** for phi = 0. Example values suitable for a terrestrial
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83 | ** observer, together with masses, are as follows:
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84 | **
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85 | ** body i b[i].bm b[i].dl
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86 | **
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87 | ** Sun 1.0 6e-6
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88 | ** Jupiter 0.00095435 3e-9
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89 | ** Saturn 0.00028574 3e-10
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90 | **
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91 | ** 7) For efficiency, validation of the contents of the b array is
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92 | ** omitted. The supplied masses must be greater than zero, the
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93 | ** position and velocity vectors must be right, and the deflection
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94 | ** limiter greater than zero.
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95 | **
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96 | ** Called:
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97 | ** eraPmpx proper motion and parallax
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98 | ** eraLdn light deflection by n bodies
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99 | ** eraAb stellar aberration
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100 | ** eraRxp product of r-matrix and pv-vector
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101 | ** eraC2s p-vector to spherical
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102 | ** eraAnp normalize angle into range 0 to 2pi
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103 | **
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104 | ** Copyright (C) 2013-2017, NumFOCUS Foundation.
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105 | ** Derived, with permission, from the SOFA library. See notes at end of file.
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106 | */
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107 | {
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108 | double pco[3], pnat[3], ppr[3], pi[3], w;
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109 |
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110 |
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111 | /* Proper motion and parallax, giving BCRS coordinate direction. */
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112 | eraPmpx(rc, dc, pr, pd, px, rv, astrom->pmt, astrom->eb, pco);
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113 |
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114 | /* Light deflection, giving BCRS natural direction. */
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115 | eraLdn(n, b, astrom->eb, pco, pnat);
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116 |
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117 | /* Aberration, giving GCRS proper direction. */
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118 | eraAb(pnat, astrom->v, astrom->em, astrom->bm1, ppr);
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119 |
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120 | /* Bias-precession-nutation, giving CIRS proper direction. */
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121 | eraRxp(astrom->bpn, ppr, pi);
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122 |
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123 | /* CIRS RA,Dec. */
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124 | eraC2s(pi, &w, di);
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125 | *ri = eraAnp(w);
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126 |
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127 | /* Finished. */
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128 |
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129 | }
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130 | /*----------------------------------------------------------------------
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131 | **
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132 | **
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133 | ** Copyright (C) 2013-2017, NumFOCUS Foundation.
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134 | ** All rights reserved.
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135 | **
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136 | ** This library is derived, with permission, from the International
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137 | ** Astronomical Union's "Standards of Fundamental Astronomy" library,
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138 | ** available from http://www.iausofa.org.
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139 | **
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140 | ** The ERFA version is intended to retain identical functionality to
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141 | ** the SOFA library, but made distinct through different function and
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142 | ** file names, as set out in the SOFA license conditions. The SOFA
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143 | ** original has a role as a reference standard for the IAU and IERS,
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144 | ** and consequently redistribution is permitted only in its unaltered
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145 | ** state. The ERFA version is not subject to this restriction and
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146 | ** therefore can be included in distributions which do not support the
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147 | ** concept of "read only" software.
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148 | **
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149 | ** Although the intent is to replicate the SOFA API (other than
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150 | ** replacement of prefix names) and results (with the exception of
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151 | ** bugs; any that are discovered will be fixed), SOFA is not
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152 | ** responsible for any errors found in this version of the library.
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153 | **
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154 | ** If you wish to acknowledge the SOFA heritage, please acknowledge
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155 | ** that you are using a library derived from SOFA, rather than SOFA
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156 | ** itself.
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157 | **
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158 | **
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159 | ** TERMS AND CONDITIONS
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160 | **
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161 | ** Redistribution and use in source and binary forms, with or without
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162 | ** modification, are permitted provided that the following conditions
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163 | ** are met:
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164 | **
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165 | ** 1 Redistributions of source code must retain the above copyright
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166 | ** notice, this list of conditions and the following disclaimer.
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167 | **
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168 | ** 2 Redistributions in binary form must reproduce the above copyright
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169 | ** notice, this list of conditions and the following disclaimer in
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170 | ** the documentation and/or other materials provided with the
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171 | ** distribution.
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172 | **
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173 | ** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
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174 | ** the International Astronomical Union nor the names of its
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175 | ** contributors may be used to endorse or promote products derived
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176 | ** from this software without specific prior written permission.
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177 | **
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178 | ** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
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179 | ** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
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180 | ** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
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181 | ** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
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182 | ** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
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183 | ** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
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184 | ** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
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185 | ** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
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186 | ** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
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187 | ** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
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188 | ** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
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189 | ** POSSIBILITY OF SUCH DAMAGE.
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190 | **
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191 | */
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