precisio.h
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1 
6 
7 #ifndef PRECISION_LIB
8 #define PRECISION_LIB 0
9 
10 #define WANT_MATH
11 #include "include.h" // in case being used as stand alone
12 
13 #ifdef _STANDARD_ // standard library available
14 #include <limits>
15 #endif
16 
17 #ifdef use_namespace
18 namespace NEWMAT {
19 #endif
20 
21 #ifdef _STANDARD_ // standard library available
22 
23 #ifdef OPT_COMPATIBLE
24 #include <cfloat> // for FLT_MAX
25 #endif
26 
27 using namespace std;
28 
31 {
32 public:
33  static int Dig() // number of decimal digits or precision
34  { return numeric_limits<Real>::digits10 ; }
35 
36  static Real Epsilon() // smallest number such that 1+Eps!=Eps
37  { return numeric_limits<Real>::epsilon(); }
38 
39  static int Mantissa() // bits in mantisa
40  { return numeric_limits<Real>::digits; }
41 
42  static Real Maximum() // maximum value
43  { return numeric_limits<Real>::max(); }
44 
45  static int MaximumDecimalExponent() // maximum decimal exponent
46  { return numeric_limits<Real>::max_exponent10; }
47 
48  static int MaximumExponent() // maximum binary exponent
49  { return numeric_limits<Real>::max_exponent; }
50 
51  static Real LnMaximum() // natural log of maximum
52  { return (Real)log(Maximum()); }
53 
54  static Real Minimum() // minimum positive value
55  { return numeric_limits<Real>::min(); }
56 
57  static int MinimumDecimalExponent() // minimum decimal exponent
58  { return numeric_limits<Real>::min_exponent10; }
59 
60  static int MinimumExponent() // minimum binary exponent
61  { return numeric_limits<Real>::min_exponent; }
62 
63  static Real LnMinimum() // natural log of minimum
64  { return (Real)log(Minimum()); }
65 
66  static int Radix() // exponent radix
67  { return numeric_limits<Real>::radix; }
68 
69  static int Rounds() // addition rounding (1 = does round)
70  {
71  return numeric_limits<Real>::round_style ==
72  round_to_nearest ? 1 : 0;
73  }
74 
75 };
76 
77 
78 #else // _STANDARD_ not defined
79 
80 #ifndef SystemV // if there is float.h
81 
82 #ifdef USING_FLOAT
83 
86 {
87 public:
88  static int Dig()
89  { return FLT_DIG; } // number of decimal digits or precision
90 
91  static Real Epsilon()
92  { return FLT_EPSILON; } // smallest number such that 1+Eps!=Eps
93 
94  static int Mantissa()
95  { return FLT_MANT_DIG; } // bits in mantisa
96 
97  static Real Maximum()
98  { return FLT_MAX; } // maximum value
99 
100  static int MaximumDecimalExponent()
101  { return FLT_MAX_10_EXP; } // maximum decimal exponent
102 
103  static int MaximumExponent()
104  { return FLT_MAX_EXP; } // maximum binary exponent
105 
106  static Real LnMaximum()
107  { return (Real)log(Maximum()); } // natural log of maximum
108 
109  static Real Minimum()
110  { return FLT_MIN; } // minimum positive value
111 
112  static int MinimumDecimalExponent()
113  { return FLT_MIN_10_EXP; } // minimum decimal exponent
114 
115  static int MinimumExponent()
116  { return FLT_MIN_EXP; } // minimum binary exponent
117 
118  static Real LnMinimum()
119  { return (Real)log(Minimum()); } // natural log of minimum
120 
121  static int Radix()
122  { return FLT_RADIX; } // exponent radix
123 
124  static int Rounds()
125  { return FLT_ROUNDS; } // addition rounding (1 = does round)
126 
127 };
128 
129 #endif // USING_FLOAT
130 
131 
132 #ifdef USING_DOUBLE
133 
136 {
137 public:
138 
139  static int Dig()
140  { return DBL_DIG; } // number of decimal digits or precision
141 
142  static Real Epsilon()
143  { return DBL_EPSILON; } // smallest number such that 1+Eps!=Eps
144 
145  static int Mantissa()
146  { return DBL_MANT_DIG; } // bits in mantisa
147 
148  static Real Maximum()
149  { return DBL_MAX; } // maximum value
150 
151  static int MaximumDecimalExponent()
152  { return DBL_MAX_10_EXP; } // maximum decimal exponent
153 
154  static int MaximumExponent()
155  { return DBL_MAX_EXP; } // maximum binary exponent
156 
157  static Real LnMaximum()
158  { return (Real)log(Maximum()); } // natural log of maximum
159 
160  static Real Minimum()
161  {
162 //#ifdef __BCPLUSPLUS__
163 // return 2.225074e-308; // minimum positive value
164 //#else
165  return DBL_MIN;
166 //#endif
167  }
168 
169  static int MinimumDecimalExponent()
170  { return DBL_MIN_10_EXP; } // minimum decimal exponent
171 
172  static int MinimumExponent()
173  { return DBL_MIN_EXP; } // minimum binary exponent
174 
175  static Real LnMinimum()
176  { return (Real)log(Minimum()); } // natural log of minimum
177 
178 
179  static int Radix()
180  { return FLT_RADIX; } // exponent radix
181 
182  static int Rounds()
183  { return FLT_ROUNDS; } // addition rounding (1 = does round)
184 
185 };
186 
187 #endif // USING_DOUBLE
188 
189 #else // if there is no float.h
190 
191 #ifdef OPT_COMPATIBLE
192 #define FLT_MAX MAXFLOAT
193 #endif
194 
195 
196 #ifdef USING_FLOAT
197 
200 {
201 public:
202 
203  static Real Epsilon()
204  { return pow(2.0,(int)(1-FSIGNIF)); }
205  // smallest number such that 1+Eps!=Eps
206 
207  static Real Maximum()
208  { return MAXFLOAT; } // maximum value
209 
210  static Real LnMaximum()
211  { return (Real)log(Maximum()); } // natural log of maximum
212 
213  static Real Minimum()
214  { return MINFLOAT; } // minimum positive value
215 
216  static Real LnMinimum()
217  { return (Real)log(Minimum()); } // natural log of minimum
218 
219 };
220 
221 #endif // USING_FLOAT
222 
223 
224 #ifdef USING_DOUBLE
225 
228 {
229 public:
230 
231  static Real Epsilon()
232  { return pow(2.0,(int)(1-DSIGNIF)); }
233  // smallest number such that 1+Eps!=Eps
234 
235  static Real Maximum()
236  { return MAXDOUBLE; } // maximum value
237 
238  static Real LnMaximum()
239  { return LN_MAXDOUBLE; } // natural log of maximum
240 
241  static Real Minimum()
242  { return MINDOUBLE; }
243 
244  static Real LnMinimum()
245  { return LN_MINDOUBLE; } // natural log of minimum
246 };
247 
248 #endif // USING_DOUBLE
249 
250 #endif // SystemV
251 
252 #endif // _STANDARD_
253 
254 
255 
256 
257 #ifdef use_namespace
258 }
259 #endif // use_namespace
260 
261 
262 
263 #endif // PRECISION_LIB
264 
265 
static Real Maximum()
Definition: precisio.h:235
Real Minimum(const BaseMatrix &B)
Definition: newmat.h:2120
Real Maximum(const BaseMatrix &B)
Definition: newmat.h:2118
static Real LnMaximum()
Definition: precisio.h:238
double Real
Definition: include.h:307
static Real Minimum()
Definition: precisio.h:241
Floating point precision (type double).
Definition: precisio.h:227
#define max(a, b)
Definition: kmlExt.cpp:32
static Real Epsilon()
Definition: precisio.h:231
static Real LnMinimum()
Definition: precisio.h:244
const double epsilon
Definition: utils.h:126


kni
Author(s): Martin Günther
autogenerated on Fri Jun 7 2019 22:06:45