gammaLog2.cpp

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/***************************************************************************
 *   Copyright (C) 2005 by Christophe GONZALES and Pierre-Henri WUILLEMIN  *
 *   {prenom.nom}_at_lip6.fr                                               *
 *                                                                         *
 *   This program is free software; you can redistribute it and/or modify  *
 *   it under the terms of the GNU General Public License as published by  *
 *   the Free Software Foundation; either version 2 of the License, or     *
 *   (at your option) any later version.                                   *
 *                                                                         *
 *   This program is distributed in the hope that it will be useful,       *
 *   but WITHOUT ANY WARRANTY; without even the implied warranty of        *
 *   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the         *
 *   GNU General Public License for more details.                          *
 *                                                                         *
 *   You should have received a copy of the GNU General Public License     *
 *   along with this program; if not, write to the                         *
 *   Free Software Foundation, Inc.,                                       *
 *   59 Temple Place - Suite 330, Boston, MA  02111-1307, USA.             *
 ***************************************************************************/
#include <agrum/core/math/gammaLog2.h>

#ifdef GUM_NO_INLINE
#  include <agrum/core/math/gammaLog2_inl.h>
#endif   // GUM_NO_INLINE

namespace gum {

  // @brief Default constructor.
  GammaLog2::GammaLog2(bool requires_precision) :
      __requires_precision{requires_precision} {
    GUM_CONSTRUCTOR(GammaLog2);
  }

  // @brief Copy constructor.
  GammaLog2::GammaLog2(const GammaLog2& from) :
      __requires_precision{from.__requires_precision} {
    GUM_CONS_CPY(GammaLog2);
  }

  // @brief Move constructor.
  GammaLog2::GammaLog2(GammaLog2&& from) :
      __requires_precision{from.__requires_precision} {
    GUM_CONS_MOV(GammaLog2);
  }

  // @brief Class destructor.
  GammaLog2::~GammaLog2() { GUM_DESTRUCTOR(GammaLog2); }


  // the Log2 (gamma (x)) for x varying from 0 to 50 by step of 1/100
  const std::vector< double > GammaLog2::__small_values{
     std::numeric_limits< double >::max(),
     6.635647,
     5.627671,
     5.034964,
     4.612409,
     4.283187,
     4.013081,
     3.783834,
     3.584550,
     3.408198,
     3.249977,
     3.106463,
     2.975126,
     2.854044,
     2.741723,
     2.636978,
     2.538853,
     2.446567,
     2.359471,
     2.277022,
     2.198759,
     2.124291,
     2.053279,
     1.985429,
     1.920486,
     1.858224,
     1.798445,
     1.740972,
     1.685649,
     1.632335,
     1.580902,
     1.531237,
     1.483236,
     1.436805,
     1.391857,
     1.348316,
     1.306108,
     1.265167,
     1.225433,
     1.186849,
     1.149363,
     1.112927,
     1.077497,
     1.043029,
     1.009486,
     0.976830,
     0.945028,
     0.914048,
     0.883860,
     0.854436,
     0.825748,
     0.797773,
     0.770486,
     0.743865,
     0.717889,
     0.692538,
     0.667794,
     0.643637,
     0.620052,
     0.597021,
     0.574530,
     0.552564,
     0.531108,
     0.510149,
     0.489675,
     0.469673,
     0.450131,
     0.431039,
     0.412385,
     0.394159,
     0.376352,
     0.358954,
     0.341955,
     0.325348,
     0.309123,
     0.293272,
     0.277789,
     0.262665,
     0.247892,
     0.233465,
     0.219376,
     0.205618,
     0.192187,
     0.179074,
     0.166275,
     0.153784,
     0.141596,
     0.129704,
     0.118104,
     0.106791,
     0.095761,
     0.085007,
     0.074527,
     0.064315,
     0.054367,
     0.044679,
     0.035246,
     0.026066,
     0.017134,
     0.008447,
     0.000000,
     -0.008209,
     -0.016185,
     -0.023930,
     -0.031447,
     -0.038741,
     -0.045813,
     -0.052667,
     -0.059307,
     -0.065733,
     -0.071951,
     -0.077961,
     -0.083768,
     -0.089373,
     -0.094778,
     -0.099988,
     -0.105003,
     -0.109826,
     -0.114460,
     -0.118907,
     -0.123169,
     -0.127248,
     -0.131146,
     -0.134865,
     -0.138408,
     -0.141776,
     -0.144972,
     -0.147996,
     -0.150852,
     -0.153540,
     -0.156063,
     -0.158423,
     -0.160620,
     -0.162657,
     -0.164536,
     -0.166257,
     -0.167824,
     -0.169236,
     -0.170496,
     -0.171605,
     -0.172565,
     -0.173377,
     -0.174042,
     -0.174562,
     -0.174939,
     -0.175173,
     -0.175266,
     -0.175219,
     -0.175033,
     -0.174711,
     -0.174252,
     -0.173658,
     -0.172931,
     -0.172071,
     -0.171080,
     -0.169958,
     -0.168708,
     -0.167329,
     -0.165823,
     -0.164192,
     -0.162436,
     -0.160555,
     -0.158552,
     -0.156427,
     -0.154182,
     -0.151816,
     -0.149331,
     -0.146728,
     -0.144009,
     -0.141173,
     -0.138221,
     -0.135156,
     -0.131976,
     -0.128684,
     -0.125280,
     -0.121765,
     -0.118140,
     -0.114405,
     -0.110562,
     -0.106611,
     -0.102552,
     -0.098388,
     -0.094118,
     -0.089743,
     -0.085263,
     -0.080681,
     -0.075996,
     -0.071209,
     -0.066320,
     -0.061331,
     -0.056242,
     -0.051054,
     -0.045767,
     -0.040383,
     -0.034901,
     -0.029322,
     -0.023647,
     -0.017877,
     -0.012012,
     -0.006053,
     0.000000,
     0.006146,
     0.012384,
     0.018715,
     0.025136,
     0.031649,
     0.038251,
     0.044943,
     0.051725,
     0.058595,
     0.065553,
     0.072598,
     0.079731,
     0.086950,
     0.094255,
     0.101646,
     0.109122,
     0.116682,
     0.124327,
     0.132055,
     0.139866,
     0.147759,
     0.155735,
     0.163793,
     0.171932,
     0.180152,
     0.188452,
     0.196832,
     0.205292,
     0.213831,
     0.222448,
     0.231144,
     0.239918,
     0.248769,
     0.257697,
     0.266702,
     0.275783,
     0.284940,
     0.294172,
     0.303480,
     0.312862,
     0.322318,
     0.331849,
     0.341453,
     0.351130,
     0.360880,
     0.370703,
     0.380597,
     0.390564,
     0.400602,
     0.410711,
     0.420890,
     0.431140,
     0.441461,
     0.451851,
     0.462310,
     0.472838,
     0.483435,
     0.494101,
     0.504835,
     0.515636,
     0.526505,
     0.537442,
     0.548445,
     0.559514,
     0.570650,
     0.581852,
     0.593120,
     0.604453,
     0.615851,
     0.627313,
     0.638841,
     0.650432,
     0.662088,
     0.673807,
     0.685590,
     0.697436,
     0.709344,
     0.721315,
     0.733349,
     0.745445,
     0.757602,
     0.769821,
     0.782101,
     0.794442,
     0.806844,
     0.819307,
     0.831830,
     0.844412,
     0.857055,
     0.869757,
     0.882518,
     0.895339,
     0.908218,
     0.921156,
     0.934152,
     0.947206,
     0.960319,
     0.973488,
     0.986716,
     1.000000,
     1.013341,
     1.026740,
     1.040194,
     1.053705,
     1.067272,
     1.080895,
     1.094574,
     1.108308,
     1.122098,
     1.135942,
     1.149841,
     1.163795,
     1.177804,
     1.191866,
     1.205983,
     1.220153,
     1.234377,
     1.248655,
     1.262985,
     1.277369,
     1.291806,
     1.306295,
     1.320837,
     1.335431,
     1.350077,
     1.364775,
     1.379525,
     1.394326,
     1.409178,
     1.424082,
     1.439037,
     1.454043,
     1.469099,
     1.484206,
     1.499363,
     1.514570,
     1.529827,
     1.545134,
     1.560490,
     1.575896,
     1.591351,
     1.606856,
     1.622409,
     1.638011,
     1.653662,
     1.669361,
     1.685108,
     1.700904,
     1.716747,
     1.732639,
     1.748578,
     1.764564,
     1.780598,
     1.796679,
     1.812807,
     1.828982,
     1.845204,
     1.861472,
     1.877787,
     1.894148,
     1.910555,
     1.927008,
     1.943507,
     1.960052,
     1.976643,
     1.993278,
     2.009959,
     2.026686,
     2.043457,
     2.060273,
     2.077134,
     2.094039,
     2.110989,
     2.127983,
     2.145021,
     2.162104,
     2.179230,
     2.196400,
     2.213614,
     2.230871,
     2.248172,
     2.265516,
     2.282903,
     2.300333,
     2.317806,
     2.335322,
     2.352880,
     2.370481,
     2.388124,
     2.405810,
     2.423538,
     2.441307,
     2.459119,
     2.476972,
     2.494867,
     2.512804,
     2.530781,
     2.548801,
     2.566861,
     2.584963,
     2.603105,
     2.621288,
     2.639512,
     2.657777,
     2.676082,
     2.694427,
     2.712813,
     2.731239,
     2.749705,
     2.768210,
     2.786756,
     2.805341,
     2.823966,
     2.842631,
     2.861335,
     2.880078,
     2.898860,
     2.917681,
     2.936542,
     2.955441,
     2.974379,
     2.993356,
     3.012371,
     3.031425,
     3.050517,
     3.069647,
     3.088815,
     3.108022,
     3.127266,
     3.146548,
     3.165868,
     3.185226,
     3.204621,
     3.224054,
     3.243524,
     3.263031,
     3.282576,
     3.302157,
     3.321776,
     3.341431,
     3.361123,
     3.380852,
     3.400618,
     3.420420,
     3.440258,
     3.460133,
     3.480044,
     3.499991,
     3.519974,
     3.539994,
     3.560049,
     3.580140,
     3.600266,
     3.620428,
     3.640626,
     3.660859,
     3.681128,
     3.701432,
     3.721771,
     3.742145,
     3.762554,
     3.782998,
     3.803477,
     3.823991,
     3.844539,
     3.865122,
     3.885739,
     3.906391,
     3.927078,
     3.947798,
     3.968553,
     3.989342,
     4.010165,
     4.031021,
     4.051912,
     4.072837,
     4.093795,
     4.114787,
     4.135812,
     4.156871,
     4.177963,
     4.199089,
     4.220248,
     4.241440,
     4.262665,
     4.283923,
     4.305214,
     4.326538,
     4.347895,
     4.369284,
     4.390706,
     4.412161,
     4.433648,
     4.455168,
     4.476720,
     4.498304,
     4.519920,
     4.541569,
     4.563250,
     4.584963,
     4.606707,
     4.628484,
     4.650292,
     4.672132,
     4.694004,
     4.715907,
     4.737842,
     4.759808,
     4.781805,
     4.803834,
     4.825894,
     4.847986,
     4.870108,
     4.892262,
     4.914446,
     4.936661,
     4.958907,
     4.981184,
     5.003492,
     5.025830,
     5.048199,
     5.070599,
     5.093029,
     5.115489,
     5.137979,
     5.160500,
     5.183051,
     5.205632,
     5.228244,
     5.250885,
     5.273556,
     5.296257,
     5.318988,
     5.341749,
     5.364539,
     5.387359,
     5.410209,
     5.433088,
     5.455997,
     5.478935,
     5.501902,
     5.524899,
     5.547924,
     5.570979,
     5.594063,
     5.617177,
     5.640319,
     5.663490,
     5.686690,
     5.709919,
     5.733176,
     5.756462,
     5.779777,
     5.803121,
     5.826493,
     5.849893,
     5.873322,
     5.896779,
     5.920265,
     5.943779,
     5.967321,
     5.990891,
     6.014489,
     6.038115,
     6.061770,
     6.085452,
     6.109162,
     6.132900,
     6.156666,
     6.180459,
     6.204280,
     6.228129,
     6.252005,
     6.275908,
     6.299840,
     6.323798,
     6.347784,
     6.371797,
     6.395838,
     6.419905,
     6.444000,
     6.468122,
     6.492271,
     6.516447,
     6.540649,
     6.564879,
     6.589136,
     6.613419,
     6.637729,
     6.662066,
     6.686429,
     6.710819,
     6.735236,
     6.759679,
     6.784148,
     6.808644,
     6.833166,
     6.857715,
     6.882290,
     6.906891,
     6.931518,
     6.956171,
     6.980850,
     7.005556,
     7.030287,
     7.055044,
     7.079827,
     7.104636,
     7.129471,
     7.154332,
     7.179218,
     7.204129,
     7.229067,
     7.254030,
     7.279018,
     7.304032,
     7.329072,
     7.354137,
     7.379227,
     7.404342,
     7.429483,
     7.454648,
     7.479839,
     7.505056,
     7.530297,
     7.555563,
     7.580854,
     7.606170,
     7.631511,
     7.656877,
     7.682268,
     7.707683,
     7.733124,
     7.758589,
     7.784078,
     7.809592,
     7.835131,
     7.860694,
     7.886282,
     7.911894,
     7.937530,
     7.963191,
     7.988877,
     8.014586,
     8.040320,
     8.066078,
     8.091860,
     8.117666,
     8.143496,
     8.169350,
     8.195228,
     8.221131,
     8.247057,
     8.273007,
     8.298980,
     8.324978,
     8.350999,
     8.377044,
     8.403113,
     8.429206,
     8.455322,
     8.481461,
     8.507624,
     8.533811,
     8.560021,
     8.586254,
     8.612511,
     8.638791,
     8.665094,
     8.691421,
     8.717771,
     8.744144,
     8.770540,
     8.796959,
     8.823402,
     8.849867,
     8.876355,
     8.902867,
     8.929401,
     8.955958,
     8.982538,
     9.009141,
     9.035767,
     9.062415,
     9.089086,
     9.115780,
     9.142496,
     9.169235,
     9.195997,
     9.222781,
     9.249587,
     9.276416,
     9.303268,
     9.330142,
     9.357038,
     9.383956,
     9.410897,
     9.437860,
     9.464846,
     9.491853,
     9.518883,
     9.545934,
     9.573008,
     9.600104,
     9.627222,
     9.654362,
     9.681524,
     9.708708,
     9.735913,
     9.763141,
     9.790390,
     9.817661,
     9.844954,
     9.872269,
     9.899605,
     9.926963,
     9.954342,
     9.981743,
     10.009166,
     10.036610,
     10.064076,
     10.091563,
     10.119072,
     10.146602,
     10.174153,
     10.201726,
     10.229320,
     10.256935,
     10.284571,
     10.312229,
     10.339908,
     10.367608,
     10.395329,
     10.423071,
     10.450835,
     10.478619,
     10.506424,
     10.534251,
     10.562098,
     10.589966,
     10.617855,
     10.645765,
     10.673695,
     10.701647,
     10.729619,
     10.757612,
     10.785625,
     10.813660,
     10.841714,
     10.869790,
     10.897886,
     10.926003,
     10.954140,
     10.982297,
     11.010475,
     11.038674,
     11.066893,
     11.095132,
     11.123392,
     11.151672,
     11.179972,
     11.208292,
     11.236633,
     11.264994,
     11.293375,
     11.321776,
     11.350197,
     11.378639,
     11.407100,
     11.435582,
     11.464083,
     11.492605,
     11.521146,
     11.549708,
     11.578289,
     11.606890,
     11.635511,
     11.664152,
     11.692813,
     11.721493,
     11.750193,
     11.778913,
     11.807652,
     11.836411,
     11.865190,
     11.893988,
     11.922806,
     11.951644,
     11.980501,
     12.009377,
     12.038273,
     12.067188,
     12.096123,
     12.125077,
     12.154051,
     12.183044,
     12.212056,
     12.241087,
     12.270138,
     12.299208,
     12.328297,
     12.357406,
     12.386533,
     12.415680,
     12.444845,
     12.474030,
     12.503234,
     12.532457,
     12.561699,
     12.590960,
     12.620240,
     12.649538,
     12.678856,
     12.708193,
     12.737548,
     12.766922,
     12.796315,
     12.825727,
     12.855158,
     12.884607,
     12.914075,
     12.943562,
     12.973067,
     13.002591,
     13.032134,
     13.061695,
     13.091275,
     13.120873,
     13.150490,
     13.180126,
     13.209779,
     13.239452,
     13.269142,
     13.298851,
     13.328579,
     13.358325,
     13.388089,
     13.417871,
     13.447672,
     13.477491,
     13.507328,
     13.537184,
     13.567057,
     13.596949,
     13.626859,
     13.656787,
     13.686734,
     13.716698,
     13.746680,
     13.776681,
     13.806699,
     13.836735,
     13.866790,
     13.896862,
     13.926952,
     13.957060,
     13.987186,
     14.017330,
     14.047492,
     14.077671,
     14.107868,
     14.138083,
     14.168316,
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