[9102] | 1 | ///
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| 2 | /// This file is part of ILNumerics Community Edition.
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| 3 | ///
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| 4 | /// ILNumerics Community Edition - high performance computing for applications.
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| 5 | /// Copyright (C) 2006 - 2012 Haymo Kutschbach, http://ilnumerics.net
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| 6 | ///
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| 7 | /// ILNumerics Community Edition is free software: you can redistribute it and/or modify
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| 8 | /// it under the terms of the GNU General Public License version 3 as published by
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| 9 | /// the Free Software Foundation.
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| 10 | ///
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| 11 | /// ILNumerics Community Edition is distributed in the hope that it will be useful,
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| 12 | /// but WITHOUT ANY WARRANTY; without even the implied warranty of
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| 13 | /// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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| 14 | /// GNU General Public License for more details.
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| 15 | ///
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| 16 | /// You should have received a copy of the GNU General Public License
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| 17 | /// along with ILNumerics Community Edition. See the file License.txt in the root
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| 18 | /// of your distribution package. If not, see <http://www.gnu.org/licenses/>.
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| 19 | ///
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| 20 | /// In addition this software uses the following components and/or licenses:
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| 21 | ///
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| 22 | /// =================================================================================
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| 23 | /// The Open Toolkit Library License
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| 24 | ///
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| 25 | /// Copyright (c) 2006 - 2009 the Open Toolkit library.
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| 26 | ///
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| 27 | /// Permission is hereby granted, free of charge, to any person obtaining a copy
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| 28 | /// of this software and associated documentation files (the "Software"), to deal
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| 29 | /// in the Software without restriction, including without limitation the rights to
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| 30 | /// use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of
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| 31 | /// the Software, and to permit persons to whom the Software is furnished to do
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| 32 | /// so, subject to the following conditions:
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| 33 | ///
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| 34 | /// The above copyright notice and this permission notice shall be included in all
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| 35 | /// copies or substantial portions of the Software.
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| 36 | ///
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| 37 | /// =================================================================================
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| 38 | ///
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| 39 |
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| 40 | using System;
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| 41 | using System.Collections.Generic;
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| 42 | using System.Text;
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| 43 | using System.Runtime.InteropServices;
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| 44 | using ILNumerics.Storage;
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| 45 | using ILNumerics.Misc;
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| 46 | using ILNumerics.Native;
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| 47 | using ILNumerics.Exceptions;
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| 48 | using System.IO;
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| 49 |
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| 50 | namespace ILNumerics {
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| 51 |
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| 52 | /// <summary>
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| 53 | /// Main math class, exposes all static math functions. Users should write algorithms in a class derived from <c>ILMath</c>.
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| 54 | /// </summary>
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| 55 | public partial class ILMath {
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| 56 | /// <summary>
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| 57 | /// Concrete interface wrapper class providing the native LAPACK functions
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| 58 | /// </summary>
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| 59 | /// <remarks>The LAPACK wrapper will be initialized the first time,
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| 60 | /// a call to any static method of ILMath is made. The decision, which
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| 61 | /// native module to load is done by use of native CPUID assembly statements.
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| 62 | /// If the current processor does not support those calls or is not recognizable
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| 63 | /// by ILNumerics, a generic - not optimized - version of native LAPACK code will
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| 64 | /// be used than.</remarks>
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| 65 | public static IILLapack Lapack;
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| 66 |
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| 67 | /// <summary>
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| 68 | /// Platform specific FFT implementation, <b>internally</b> used to compute fft
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| 69 | /// </summary>
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| 70 | public static IILFFT FFTImplementation;
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| 71 |
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| 72 | /// <summary>
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| 73 | /// Main math class providing static builtin functions
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| 74 | /// </summary>
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| 75 | static ILMath() {
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| 76 | #region initialize proc specific interfaces
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| 77 | // for now we rely on the existance of the Intel MKL!
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| 78 | try {
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| 79 | ILMKLFFT mkl = new ILMKLFFT();
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| 80 | FFTImplementation = mkl;
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| 81 | ILLapackMKL10_0 lapack = new ILLapackMKL10_0();
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| 82 | Lapack = lapack;
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| 83 | fft(1.0);
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| 84 | } catch (Exception exc) {
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| 85 | Console.Write("Error initializing Lapack implementation: " + exc.ToString());
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| 86 | // MKL missing ... no fallback by now
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| 87 | }
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| 88 | #endregion
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| 89 | #region initialize machine parameter infos
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| 90 | macharD(ref m_machparDouble.ibeta, ref m_machparDouble.it,ref m_machparDouble.irnd,ref m_machparDouble.ngrd,ref m_machparDouble.machep,ref m_machparDouble.negep,ref m_machparDouble.iexp,ref m_machparDouble.minexp,ref m_machparDouble.maxexp,ref m_machparDouble.eps,ref m_machparDouble.epsneg,ref m_machparDouble.xmin,ref m_machparDouble.xmax);
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| 91 | macharF(ref m_machparSingle.ibeta, ref m_machparSingle.it,ref m_machparSingle.irnd,ref m_machparSingle.ngrd,ref m_machparSingle.machep,ref m_machparSingle.negep,ref m_machparSingle.iexp,ref m_machparSingle.minexp,ref m_machparSingle.maxexp,ref m_machparSingle.eps,ref m_machparSingle.epsneg,ref m_machparSingle.xmin,ref m_machparSingle.xmax);
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| 92 | #endregion
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| 93 |
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| 94 | }
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| 95 | /// <summary>
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| 96 | /// Minimal size of dimensions, expensive operations will be carried out by native LAPACK libs.
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| 97 | /// </summary>
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| 98 | /// <remarks>This property is not yet implemented. All computations (unless for scalars) will be using LAPACK.
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| 99 | /// </remarks>
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| 100 | internal static readonly int ILAtlasMinimumElementSize = 1;
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| 101 |
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| 102 | #region private helper
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| 103 | private static readonly char TRANS_NONE = 'n';
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| 104 |
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| 105 | private static byte saturateByte(double a) {
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| 106 | if (double.IsNaN(a)) return 0;
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| 107 | a = Math.Round(a, MidpointRounding.AwayFromZero);
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| 108 | if (a > byte.MaxValue) return byte.MaxValue;
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| 109 | if (a < byte.MinValue) return byte.MinValue;
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| 110 | return (byte)a;
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| 111 | }
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| 112 | private static sbyte saturateSByte(double a) {
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| 113 | if (double.IsNaN(a)) return 0;
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| 114 | a = Math.Round(a, MidpointRounding.AwayFromZero);
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| 115 | if (a > sbyte.MaxValue) return sbyte.MaxValue;
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| 116 | if (a < sbyte.MinValue) return sbyte.MinValue;
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| 117 | return (sbyte)a;
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| 118 | }
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| 119 | private static char saturateChar(double a) {
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| 120 | if (double.IsNaN(a)) return (char)0;
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| 121 | a = Math.Round(a, MidpointRounding.AwayFromZero);
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| 122 | if (a > char.MaxValue) return char.MaxValue;
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| 123 | if (a < char.MinValue) return char.MinValue;
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| 124 | return (char)a;
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| 125 | }
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| 126 | private static short saturateInt16(double a) {
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| 127 | if (double.IsNaN(a)) return 0;
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| 128 | a = Math.Round(a, MidpointRounding.AwayFromZero);
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| 129 | if (a > short.MaxValue) return short.MaxValue;
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| 130 | if (a < short.MinValue) return short.MinValue;
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| 131 | return (short)a;
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| 132 | }
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| 133 | private static int saturateInt32(double a) {
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| 134 | if (double.IsNaN(a)) return 0;
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| 135 | a = Math.Round(a, MidpointRounding.AwayFromZero);
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| 136 | if (a > int.MaxValue) return int.MaxValue;
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| 137 | if (a < int.MinValue) return int.MinValue;
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| 138 | return (int)a;
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| 139 | }
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| 140 | private static long saturateInt64(double a) {
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| 141 | if (double.IsNaN(a)) return 0;
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| 142 | a = Math.Round(a, MidpointRounding.AwayFromZero);
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| 143 | if (a > long.MaxValue) return long.MaxValue;
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| 144 | if (a < long.MinValue) return long.MinValue;
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| 145 | return (long)a;
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| 146 | }
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| 147 | private static ushort saturateUInt16(double a) {
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| 148 | if (double.IsNaN(a)) return 0;
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| 149 | a = Math.Round(a, MidpointRounding.AwayFromZero);
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| 150 | if (a > ushort.MaxValue) return ushort.MaxValue;
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| 151 | if (a < ushort.MinValue) return ushort.MinValue;
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| 152 | return (ushort)a;
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| 153 | }
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| 154 | private static uint saturateUInt32(double a) {
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| 155 | if (double.IsNaN(a)) return 0;
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| 156 | a = Math.Round(a, MidpointRounding.AwayFromZero);
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| 157 | if (a > uint.MaxValue) return uint.MaxValue;
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| 158 | if (a < uint.MinValue) return uint.MinValue;
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| 159 | return (uint)a;
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| 160 | }
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| 161 | private static ulong saturateUInt64(double a) {
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| 162 | if (double.IsNaN(a)) return 0;
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| 163 | a = Math.Round(a, MidpointRounding.AwayFromZero);
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| 164 | if (a > ulong.MaxValue) return ulong.MaxValue;
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| 165 | if (a < ulong.MinValue) return ulong.MinValue;
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| 166 | return (ulong)a;
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| 167 | }
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| 168 |
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| 169 | #endregion
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| 170 | }
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| 171 | }
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