gammaLog2.cpp

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/**
 *
 *   Copyright (c) 2005-2021 by Pierre-Henri WUILLEMIN(@LIP6) & Christophe GONZALES(@AMU)
 *   info_at_agrum_dot_org
 *
 *  This library is free software: you can redistribute it and/or modify
 *  it under the terms of the GNU Lesser General Public License as published by
 *  the Free Software Foundation, either version 3 of the License, or
 *  (at your option) any later version.
 *
 *  This library 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 Lesser General Public License for more details.
 *
 *  You should have received a copy of the GNU Lesser General Public License
 *  along with this library.  If not, see <http://www.gnu.org/licenses/>.
 *
 */


/**
 * @file
 * @brief The class for computing Log2 (Gamma(x)).
 *
 * @author Christophe GONZALES(@AMU) and Pierre-Henri WUILLEMIN(@LIP6)
 */

#include <agrum/tools/core/math/gammaLog2.h>

#ifdef GUM_NO_INLINE
#  include <agrum/tools/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,
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                                                        5.570979,
                                                        5.594063,
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                                                        5.640319,
                                                        5.663490,
                                                        5.686690,
                                                        5.709919,
                                                        5.733176,
                                                        5.756462,
                                                        5.779777,
                                                        5.803121,
                                                        5.826493,
                                                        5.849893,
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                                                        5.920265,
                                                        5.943779,
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                                                        6.156666,
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                                                        6.252005,
                                                        6.275908,
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                                                        6.347784,
                                                        6.371797,
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                                                        6.468122,
                                                        6.492271,
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                                                        6.564879,
                                                        6.589136,
                                                        6.613419,
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                                                        6.931518,
                                                        6.956171,
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                                                        7.030287,
                                                        7.055044,
                                                        7.079827,
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                                                        8.770540,
                                                        8.796959,
                                                        8.823402,
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                                                        8.876355,
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                                                        8.929401,
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                                                        9.035767,
                                                        9.062415,
                                                        9.089086,
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                                                        9.195997,
                                                        9.222781,
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                                                        9.330142,
                                                        9.357038,
                                                        9.383956,
                                                        9.410897,
                                                        9.437860,
                                                        9.464846,
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