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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