1 | /// \ingroup newmat
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2 | ///@{
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3 |
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4 | /// \file precisio.h
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5 | /// Floating point precision constants.
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6 |
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7 | #ifndef PRECISION_LIB
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8 | #define PRECISION_LIB 0
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9 |
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10 | #define WANT_MATH
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11 | #include "include.h" // in case being used as stand alone
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12 |
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13 | #ifdef _STANDARD_ // standard library available
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14 | #include <limits>
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15 | #endif
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16 |
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17 | #ifdef use_namespace
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18 | namespace NEWMAT {
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19 | #endif
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20 |
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21 | #ifdef _STANDARD_ // standard library available
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22 |
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23 | #ifdef OPT_COMPATIBLE
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24 | #include <cfloat> // for FLT_MAX
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25 | #endif
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26 |
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27 | using namespace std;
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28 |
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29 | /// Floating point precision.
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30 | class FloatingPointPrecision
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31 | {
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32 | public:
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33 | static int Dig() // number of decimal digits or precision
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34 | { return numeric_limits<Real>::digits10 ; }
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35 |
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36 | static Real Epsilon() // smallest number such that 1+Eps!=Eps
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37 | { return numeric_limits<Real>::epsilon(); }
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38 |
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39 | static int Mantissa() // bits in mantisa
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40 | { return numeric_limits<Real>::digits; }
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41 |
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42 | static Real Maximum() // maximum value
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43 | { return numeric_limits<Real>::max(); }
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44 |
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45 | static int MaximumDecimalExponent() // maximum decimal exponent
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46 | { return numeric_limits<Real>::max_exponent10; }
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47 |
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48 | static int MaximumExponent() // maximum binary exponent
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49 | { return numeric_limits<Real>::max_exponent; }
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50 |
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51 | static Real LnMaximum() // natural log of maximum
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52 | { return (Real)log(Maximum()); }
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53 |
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54 | static Real Minimum() // minimum positive value
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55 | { return numeric_limits<Real>::min(); }
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56 |
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57 | static int MinimumDecimalExponent() // minimum decimal exponent
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58 | { return numeric_limits<Real>::min_exponent10; }
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59 |
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60 | static int MinimumExponent() // minimum binary exponent
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61 | { return numeric_limits<Real>::min_exponent; }
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62 |
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63 | static Real LnMinimum() // natural log of minimum
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64 | { return (Real)log(Minimum()); }
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65 |
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66 | static int Radix() // exponent radix
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67 | { return numeric_limits<Real>::radix; }
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68 |
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69 | static int Rounds() // addition rounding (1 = does round)
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70 | {
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71 | return numeric_limits<Real>::round_style ==
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72 | round_to_nearest ? 1 : 0;
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73 | }
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74 |
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75 | };
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76 |
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77 |
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78 | #else // _STANDARD_ not defined
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79 |
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80 | #ifndef SystemV // if there is float.h
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81 |
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82 | #ifdef USING_FLOAT
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83 |
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84 | /// Floating point precision (type float).
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85 | class FloatingPointPrecision
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86 | {
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87 | public:
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88 | static int Dig()
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89 | { return FLT_DIG; } // number of decimal digits or precision
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90 |
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91 | static Real Epsilon()
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92 | { return FLT_EPSILON; } // smallest number such that 1+Eps!=Eps
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93 |
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94 | static int Mantissa()
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95 | { return FLT_MANT_DIG; } // bits in mantisa
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96 |
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97 | static Real Maximum()
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98 | { return FLT_MAX; } // maximum value
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99 |
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100 | static int MaximumDecimalExponent()
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101 | { return FLT_MAX_10_EXP; } // maximum decimal exponent
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102 |
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103 | static int MaximumExponent()
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104 | { return FLT_MAX_EXP; } // maximum binary exponent
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105 |
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106 | static Real LnMaximum()
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107 | { return (Real)log(Maximum()); } // natural log of maximum
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108 |
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109 | static Real Minimum()
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110 | { return FLT_MIN; } // minimum positive value
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111 |
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112 | static int MinimumDecimalExponent()
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113 | { return FLT_MIN_10_EXP; } // minimum decimal exponent
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114 |
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115 | static int MinimumExponent()
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116 | { return FLT_MIN_EXP; } // minimum binary exponent
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117 |
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118 | static Real LnMinimum()
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119 | { return (Real)log(Minimum()); } // natural log of minimum
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120 |
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121 | static int Radix()
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122 | { return FLT_RADIX; } // exponent radix
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123 |
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124 | static int Rounds()
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125 | { return FLT_ROUNDS; } // addition rounding (1 = does round)
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126 |
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127 | };
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128 |
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129 | #endif // USING_FLOAT
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130 |
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131 |
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132 | #ifdef USING_DOUBLE
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133 |
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134 | /// Floating point precision (type double).
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135 | class FloatingPointPrecision
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136 | {
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137 | public:
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138 |
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139 | static int Dig()
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140 | { return DBL_DIG; } // number of decimal digits or precision
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141 |
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142 | static Real Epsilon()
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143 | { return DBL_EPSILON; } // smallest number such that 1+Eps!=Eps
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144 |
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145 | static int Mantissa()
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146 | { return DBL_MANT_DIG; } // bits in mantisa
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147 |
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148 | static Real Maximum()
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149 | { return DBL_MAX; } // maximum value
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150 |
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151 | static int MaximumDecimalExponent()
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152 | { return DBL_MAX_10_EXP; } // maximum decimal exponent
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153 |
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154 | static int MaximumExponent()
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155 | { return DBL_MAX_EXP; } // maximum binary exponent
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156 |
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157 | static Real LnMaximum()
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158 | { return (Real)log(Maximum()); } // natural log of maximum
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159 |
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160 | static Real Minimum()
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161 | {
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162 | //#ifdef __BCPLUSPLUS__
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163 | // return 2.225074e-308; // minimum positive value
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164 | //#else
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165 | return DBL_MIN;
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166 | //#endif
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167 | }
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168 |
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169 | static int MinimumDecimalExponent()
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170 | { return DBL_MIN_10_EXP; } // minimum decimal exponent
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171 |
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172 | static int MinimumExponent()
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173 | { return DBL_MIN_EXP; } // minimum binary exponent
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174 |
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175 | static Real LnMinimum()
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176 | { return (Real)log(Minimum()); } // natural log of minimum
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177 |
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178 |
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179 | static int Radix()
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180 | { return FLT_RADIX; } // exponent radix
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181 |
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182 | static int Rounds()
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183 | { return FLT_ROUNDS; } // addition rounding (1 = does round)
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184 |
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185 | };
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186 |
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187 | #endif // USING_DOUBLE
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188 |
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189 | #else // if there is no float.h
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190 |
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191 | #ifdef OPT_COMPATIBLE
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192 | #define FLT_MAX MAXFLOAT
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193 | #endif
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194 |
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195 |
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196 | #ifdef USING_FLOAT
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197 |
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198 | /// Floating point precision (type float).
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199 | class FloatingPointPrecision
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200 | {
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201 | public:
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202 |
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203 | static Real Epsilon()
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204 | { return pow(2.0,(int)(1-FSIGNIF)); }
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205 | // smallest number such that 1+Eps!=Eps
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206 |
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207 | static Real Maximum()
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208 | { return MAXFLOAT; } // maximum value
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209 |
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210 | static Real LnMaximum()
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211 | { return (Real)log(Maximum()); } // natural log of maximum
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212 |
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213 | static Real Minimum()
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214 | { return MINFLOAT; } // minimum positive value
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215 |
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216 | static Real LnMinimum()
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217 | { return (Real)log(Minimum()); } // natural log of minimum
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218 |
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219 | };
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220 |
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221 | #endif // USING_FLOAT
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222 |
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223 |
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224 | #ifdef USING_DOUBLE
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225 |
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226 | /// Floating point precision (type double).
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227 | class FloatingPointPrecision
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228 | {
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229 | public:
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230 |
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231 | static Real Epsilon()
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232 | { return pow(2.0,(int)(1-DSIGNIF)); }
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233 | // smallest number such that 1+Eps!=Eps
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234 |
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235 | static Real Maximum()
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236 | { return MAXDOUBLE; } // maximum value
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237 |
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238 | static Real LnMaximum()
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239 | { return LN_MAXDOUBLE; } // natural log of maximum
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240 |
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241 | static Real Minimum()
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242 | { return MINDOUBLE; }
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243 |
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244 | static Real LnMinimum()
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245 | { return LN_MINDOUBLE; } // natural log of minimum
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246 | };
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247 |
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248 | #endif // USING_DOUBLE
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249 |
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250 | #endif // SystemV
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251 |
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252 | #endif // _STANDARD_
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253 |
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254 |
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255 |
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256 |
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257 | #ifdef use_namespace
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258 | }
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259 | #endif // use_namespace
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260 |
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261 |
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262 |
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263 | #endif // PRECISION_LIB
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264 |
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265 |
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266 | ///@}
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