[9434] | 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 | /// Floating point precision.
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| 28 | class FloatingPointPrecision
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| 29 | {
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| 30 | public:
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| 31 | static int Dig() // number of decimal digits or precision
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| 32 | { return std::numeric_limits<Real>::digits10 ; }
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| 33 |
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| 34 | static Real Epsilon() // smallest number such that 1+Eps!=Eps
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| 35 | { return std::numeric_limits<Real>::epsilon(); }
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| 36 |
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| 37 | static int Mantissa() // bits in mantisa
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| 38 | { return std::numeric_limits<Real>::digits; }
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| 39 |
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| 40 | static Real Maximum() // maximum value
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| 41 | { return std::numeric_limits<Real>::max(); }
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| 42 |
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| 43 | static int MaximumDecimalExponent() // maximum decimal exponent
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| 44 | { return std::numeric_limits<Real>::max_exponent10; }
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| 45 |
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| 46 | static int MaximumExponent() // maximum binary exponent
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| 47 | { return std::numeric_limits<Real>::max_exponent; }
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| 48 |
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| 49 | static Real LnMaximum() // natural log of maximum
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| 50 | { return (Real)log(Maximum()); }
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| 51 |
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| 52 | static Real Minimum() // minimum positive value
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| 53 | { return std::numeric_limits<Real>::min(); }
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| 54 |
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| 55 | static int MinimumDecimalExponent() // minimum decimal exponent
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| 56 | { return std::numeric_limits<Real>::min_exponent10; }
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| 57 |
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| 58 | static int MinimumExponent() // minimum binary exponent
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| 59 | { return std::numeric_limits<Real>::min_exponent; }
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| 60 |
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| 61 | static Real LnMinimum() // natural log of minimum
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| 62 | { return (Real)log(Minimum()); }
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| 63 |
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| 64 | static int Radix() // exponent radix
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| 65 | { return std::numeric_limits<Real>::radix; }
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| 66 |
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| 67 | static int Rounds() // addition rounding (1 = does round)
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| 68 | {
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| 69 | return std::numeric_limits<Real>::round_style ==
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| 70 | std::round_to_nearest ? 1 : 0;
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| 71 | }
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| 72 |
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| 73 | };
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| 74 |
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| 75 |
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| 76 | #else // _STANDARD_ not defined
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| 77 |
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| 78 | #ifndef SystemV // if there is float.h
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| 79 |
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| 80 | #ifdef USING_FLOAT
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| 81 |
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| 82 | /// Floating point precision (type float).
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| 83 | class FloatingPointPrecision
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| 84 | {
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| 85 | public:
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| 86 | static int Dig()
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| 87 | { return FLT_DIG; } // number of decimal digits or precision
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| 88 |
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| 89 | static Real Epsilon()
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| 90 | { return FLT_EPSILON; } // smallest number such that 1+Eps!=Eps
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| 91 |
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| 92 | static int Mantissa()
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| 93 | { return FLT_MANT_DIG; } // bits in mantisa
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| 94 |
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| 95 | static Real Maximum()
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| 96 | { return FLT_MAX; } // maximum value
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| 97 |
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| 98 | static int MaximumDecimalExponent()
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| 99 | { return FLT_MAX_10_EXP; } // maximum decimal exponent
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| 100 |
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| 101 | static int MaximumExponent()
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| 102 | { return FLT_MAX_EXP; } // maximum binary exponent
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| 103 |
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| 104 | static Real LnMaximum()
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| 105 | { return (Real)log(Maximum()); } // natural log of maximum
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| 106 |
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| 107 | static Real Minimum()
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| 108 | { return FLT_MIN; } // minimum positive value
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| 109 |
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| 110 | static int MinimumDecimalExponent()
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| 111 | { return FLT_MIN_10_EXP; } // minimum decimal exponent
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| 112 |
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| 113 | static int MinimumExponent()
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| 114 | { return FLT_MIN_EXP; } // minimum binary exponent
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| 115 |
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| 116 | static Real LnMinimum()
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| 117 | { return (Real)log(Minimum()); } // natural log of minimum
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| 118 |
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| 119 | static int Radix()
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| 120 | { return FLT_RADIX; } // exponent radix
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| 121 |
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| 122 | static int Rounds()
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| 123 | { return FLT_ROUNDS; } // addition rounding (1 = does round)
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| 124 |
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| 125 | };
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| 126 |
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| 127 | #endif // USING_FLOAT
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| 128 |
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| 129 |
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| 130 | #ifdef USING_DOUBLE
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| 131 |
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| 132 | /// Floating point precision (type double).
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| 133 | class FloatingPointPrecision
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| 134 | {
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| 135 | public:
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| 136 |
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| 137 | static int Dig()
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| 138 | { return DBL_DIG; } // number of decimal digits or precision
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| 139 |
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| 140 | static Real Epsilon()
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| 141 | { return DBL_EPSILON; } // smallest number such that 1+Eps!=Eps
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| 142 |
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| 143 | static int Mantissa()
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| 144 | { return DBL_MANT_DIG; } // bits in mantisa
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| 145 |
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| 146 | static Real Maximum()
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| 147 | { return DBL_MAX; } // maximum value
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| 148 |
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| 149 | static int MaximumDecimalExponent()
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| 150 | { return DBL_MAX_10_EXP; } // maximum decimal exponent
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| 151 |
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| 152 | static int MaximumExponent()
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| 153 | { return DBL_MAX_EXP; } // maximum binary exponent
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| 154 |
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| 155 | static Real LnMaximum()
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| 156 | { return (Real)log(Maximum()); } // natural log of maximum
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| 157 |
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| 158 | static Real Minimum()
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| 159 | {
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| 160 | //#ifdef __BCPLUSPLUS__
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| 161 | // return 2.225074e-308; // minimum positive value
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| 162 | //#else
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| 163 | return DBL_MIN;
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| 164 | //#endif
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| 165 | }
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| 166 |
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| 167 | static int MinimumDecimalExponent()
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| 168 | { return DBL_MIN_10_EXP; } // minimum decimal exponent
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| 169 |
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| 170 | static int MinimumExponent()
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| 171 | { return DBL_MIN_EXP; } // minimum binary exponent
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| 172 |
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| 173 | static Real LnMinimum()
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| 174 | { return (Real)log(Minimum()); } // natural log of minimum
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| 175 |
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| 176 |
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| 177 | static int Radix()
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| 178 | { return FLT_RADIX; } // exponent radix
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| 179 |
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| 180 | static int Rounds()
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| 181 | { return FLT_ROUNDS; } // addition rounding (1 = does round)
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| 182 |
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| 183 | };
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| 184 |
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| 185 | #endif // USING_DOUBLE
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| 186 |
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| 187 | #else // if there is no float.h
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| 188 |
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| 189 | #ifdef OPT_COMPATIBLE
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| 190 | #define FLT_MAX MAXFLOAT
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| 191 | #endif
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| 192 |
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| 193 |
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| 194 | #ifdef USING_FLOAT
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| 195 |
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| 196 | /// Floating point precision (type float).
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| 197 | class FloatingPointPrecision
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| 198 | {
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| 199 | public:
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| 200 |
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| 201 | static Real Epsilon()
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| 202 | { return pow(2.0,(int)(1-FSIGNIF)); }
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| 203 | // smallest number such that 1+Eps!=Eps
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| 204 |
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| 205 | static Real Maximum()
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| 206 | { return MAXFLOAT; } // maximum value
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| 207 |
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| 208 | static Real LnMaximum()
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| 209 | { return (Real)log(Maximum()); } // natural log of maximum
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| 210 |
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| 211 | static Real Minimum()
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| 212 | { return MINFLOAT; } // minimum positive value
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| 213 |
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| 214 | static Real LnMinimum()
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| 215 | { return (Real)log(Minimum()); } // natural log of minimum
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| 216 |
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| 217 | };
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| 218 |
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| 219 | #endif // USING_FLOAT
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| 220 |
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| 221 |
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| 222 | #ifdef USING_DOUBLE
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| 223 |
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| 224 | /// Floating point precision (type double).
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| 225 | class FloatingPointPrecision
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| 226 | {
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| 227 | public:
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| 228 |
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| 229 | static Real Epsilon()
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| 230 | { return pow(2.0,(int)(1-DSIGNIF)); }
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| 231 | // smallest number such that 1+Eps!=Eps
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| 232 |
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| 233 | static Real Maximum()
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| 234 | { return MAXDOUBLE; } // maximum value
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| 235 |
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| 236 | static Real LnMaximum()
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| 237 | { return LN_MAXDOUBLE; } // natural log of maximum
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| 238 |
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| 239 | static Real Minimum()
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| 240 | { return MINDOUBLE; }
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| 241 |
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| 242 | static Real LnMinimum()
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| 243 | { return LN_MINDOUBLE; } // natural log of minimum
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| 244 | };
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| 245 |
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| 246 | #endif // USING_DOUBLE
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| 247 |
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| 248 | #endif // SystemV
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| 249 |
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| 250 | #endif // _STANDARD_
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| 251 |
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| 252 |
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| 253 |
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| 254 |
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| 255 | #ifdef use_namespace
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| 256 | }
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| 257 | #endif // use_namespace
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| 258 |
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| 259 |
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| 260 |
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| 261 | #endif // PRECISION_LIB
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| 262 |
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| 263 |
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| 264 | ///@}
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