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richard-churchman
cc0a2bee21
Included open-source Accord.net library code natively to the solution given the deprecated state of that project. Accord.net will be supported inside Jube for own needs (such as upgrading to .Net 7+). Accord.net libraries modified to compile to .Net 6. Modified Accord.net libraries to better support Newtonsoft Json.net serialisation. Included annotations in the Accord.net libraries to house important dependency statistics. Serialised json can be used independently of Jube to recall a Neural Network. Removal of Binary Serializer totally as a precursor to the projects support of .Net 7+. Extensive bug fixing in crucial functions of Neural Network training and recall. While this part of the system remains in Alpha, it is substantially more fit for purpose.
270 lines
8.0 KiB
C#
270 lines
8.0 KiB
C#
// Accord Math Library
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// The Accord.NET Framework
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// http://accord-framework.net
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//
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// Copyright © César Souza, 2009-2017
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// cesarsouza at gmail.com
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//
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// This library is free software; you can redistribute it and/or
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// modify it under the terms of the GNU Lesser General Public
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// License as published by the Free Software Foundation; either
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// version 2.1 of the License, or (at your option) any later version.
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//
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// This library is distributed in the hope that it will be useful,
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// but WITHOUT ANY WARRANTY; without even the implied warranty of
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// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
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// Lesser General Public License for more details.
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//
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// You should have received a copy of the GNU Lesser General Public
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// License along with this library; if not, write to the Free Software
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// Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA
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//
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// Contains functions from the Cephes Math Library Release 2.8:
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// June, 2000 Copyright 1984, 1987, 1988, 2000 by Stephen L. Moshier
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//
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// Original license is listed below:
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//
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// Some software in this archive may be from the book _Methods and
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// Programs for Mathematical Functions_ (Prentice-Hall or Simon & Schuster
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// International, 1989) or from the Cephes Mathematical Library, a
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// commercial product. In either event, it is copyrighted by the author.
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// What you see here may be used freely but it comes with no support or
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// guarantee.
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//
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// The two known misprints in the book are repaired here in the
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// source listings for the gamma function and the incomplete beta
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// integral.
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//
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//
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// Stephen L. Moshier
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// [email protected]
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//
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namespace Accord.Math
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{
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using System;
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/// <summary>
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/// Common mathematical constants.
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/// </summary>
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///
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/// <remarks>
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/// References:
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/// <list type="bullet">
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/// <item><description>
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/// Cephes Math Library, http://www.netlib.org/cephes/ </description></item>
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/// <item><description>
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/// http://www.johndcook.com/cpp_expm1.html </description></item>
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/// </list>
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/// </remarks>
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///
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public static class Constants
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{
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/// <summary>
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/// The number one (1).
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/// </summary>
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///
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public static T One<T>()
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{
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return 1.To<T>();
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}
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/// <summary>
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/// The number zero (0).
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/// </summary>
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///
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public static T Zero<T>()
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{
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return 0.To<T>();
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}
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/// <summary>
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/// Euler-Mascheroni constant.
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/// </summary>
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///
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/// <remarks>
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/// This constant is defined as 0.5772156649015328606065120.
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/// </remarks>
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///
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public const double EulerGamma = 0.5772156649015328606065120;
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/// <summary>
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/// Double-precision machine round-off error.
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/// </summary>
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///
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/// <remarks>
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/// This value is actually different from Double.Epsilon. It
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/// is defined as 1.11022302462515654042E-16.
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/// </remarks>
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///
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public const double DoubleEpsilon = 1.11022302462515654042e-16;
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/// <summary>
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/// Double-precision machine round-off error.
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/// </summary>
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///
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/// <remarks>
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/// This value is actually different from Double.Epsilon. It
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/// is defined as 1.11022302462515654042E-16.
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/// </remarks>
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///
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public const decimal DecimalEpsilon = 0.0000000000000000000000000001M;
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/// <summary>
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/// Single-precision machine round-off error.
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/// </summary>
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///
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/// <remarks>
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/// This value is actually different from Single.Epsilon. It
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/// is defined as 1.1920929E-07f.
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/// </remarks>
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///
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public const float SingleEpsilon = 1.1920929E-07f;
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/// <summary>
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/// Double-precision small value.
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/// </summary>
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///
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/// <remarks>
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/// This constant is defined as 1.493221789605150e-300.
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/// </remarks>
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///
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public const double DoubleSmall = 1.493221789605150e-300;
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/// <summary>
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/// Single-precision small value.
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/// </summary>
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///
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/// <remarks>
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/// This constant is defined as 1.493221789605150e-40f.
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/// </remarks>
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///
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public const float SingleSmall = 1.493221789605150e-40f;
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/// <summary>
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/// Fixed-precision small value.
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/// </summary>
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///
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public const decimal DecimalSmall = Decimal.MinValue;
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/// <summary>
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/// Maximum log on the machine.
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/// </summary>
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///
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/// <remarks>
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/// This constant is defined as 7.09782712893383996732E2.
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/// </remarks>
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///
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public const double LogMax = 7.09782712893383996732E2;
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/// <summary>
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/// Minimum log on the machine.
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/// </summary>
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///
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/// <remarks>
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/// This constant is defined as -7.451332191019412076235E2.
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/// </remarks>
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///
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public const double LogMin = -7.451332191019412076235E2;
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/// <summary>
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/// Catalan's constant.
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/// </summary>
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///
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public const double Catalan = 0.915965594177219015054603514;
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/// <summary>
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/// Log of number pi: log(pi).
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/// </summary>
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///
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/// <remarks>
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/// This constant has the value 1.14472988584940017414.
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/// </remarks>
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///
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public const double LogPI = 1.14472988584940017414;
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/// <summary>
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/// Log of two: log(2).
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/// </summary>
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///
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/// <remarks>
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/// This constant has the value 0.69314718055994530941.
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/// </remarks>
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///
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public const double Log2 = 0.69314718055994530941;
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/// <summary>
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/// Log of three: log(3).
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/// </summary>
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///
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/// <remarks>
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/// This constant has the value 1.098612288668109691395.
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/// </remarks>
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///
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public const double Log3 = 1.098612288668109691395;
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/// <summary>
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/// Log of square root of twice number pi: sqrt(log(2*π).
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/// </summary>
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///
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/// <remarks>
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/// This constant has the value 0.91893853320467274178032973640562.
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/// </remarks>
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///
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public const double LogSqrt2PI = 0.91893853320467274178032973640562;
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/// <summary>
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/// Log of twice number pi: log(2*pi).
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/// </summary>
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///
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///
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/// <remarks>
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/// This constant has the value 1.837877066409345483556.
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/// </remarks>
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///
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public const double Log2PI = 1.837877066409345483556;
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/// <summary>
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/// Square root of twice number pi: sqrt(2*π).
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/// </summary>
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///
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/// <remarks>
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/// This constant has the value 2.50662827463100050242E0.
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/// </remarks>
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///
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public const double Sqrt2PI = 2.50662827463100050242E0;
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/// <summary>
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/// Square root of half number π: sqrt(π/2).
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/// </summary>
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///
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/// <remarks>
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/// This constant has the value 1.25331413731550025121E0.
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/// </remarks>
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///
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public const double SqrtHalfPI = 1.25331413731550025121E0;
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/// <summary>
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/// Square root of 2: sqrt(2).
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/// </summary>
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///
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/// <remarks>
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/// This constant has the value 1.4142135623730950488016887.
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/// </remarks>
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///
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public const double Sqrt2 = 1.4142135623730950488016887;
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/// <summary>
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/// Half square root of 2: sqrt(2)/2.
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/// </summary>
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///
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/// <remarks>
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/// This constant has the value 7.07106781186547524401E-1.
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/// </remarks>
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///
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public const double Sqrt2H = 7.07106781186547524401E-1;
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}
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}
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