/Users/deen/code/yugabyte-db/src/yb/gutil/mathlimits.h

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// Copyright 2005 Google Inc.
//
// Licensed to the Apache Software Foundation (ASF) under one
// or more contributor license agreements.  See the NOTICE file
// distributed with this work for additional information
// regarding copyright ownership.  The ASF licenses this file
// to you under the Apache License, Version 2.0 (the
// "License"); you may not use this file except in compliance
// with the License.  You may obtain a copy of the License at
//
//   http://www.apache.org/licenses/LICENSE-2.0
//
// Unless required by applicable law or agreed to in writing,
// software distributed under the License is distributed on an
// "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
// KIND, either express or implied.  See the License for the
// specific language governing permissions and limitations
// under the License.
//
// The following only applies to changes made to this file as part of YugaByte development.
//
// Portions Copyright (c) YugaByte, Inc.
//
// Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except
// in compliance with the License.  You may obtain a copy of the License at
//
// http://www.apache.org/licenses/LICENSE-2.0
//
// Unless required by applicable law or agreed to in writing, software distributed under the License
// is distributed on an "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express
// or implied.  See the License for the specific language governing permissions and limitations
// under the License.
//
// ---
//
//
// Useful integer and floating point limits and type traits.
//
// This partially replaces/duplictes numeric_limits<> from <limits>.
// We get a Google-style class that we have a greater control over
// and thus can add new features to it or fix whatever happens to be broken in
// numeric_limits for the compilers we use.
//

#ifndef YB_GUTIL_MATHLIMITS_H
#define YB_GUTIL_MATHLIMITS_H

#include <cfloat>
#include <cmath>

// ========================================================================= //

// Useful integer and floating point limits and type traits.
// This is just for the documentation;
// real members are defined in our specializations below.
template<typename T> struct MathLimits {
  // Type name.
  typedef T Type;
  // Unsigned version of the Type with the same byte size.
  // Same as Type for floating point and unsigned types.
  typedef T UnsignedType;
  // If the type supports negative values.
  static const bool kIsSigned;
  // If the type supports only integer values.
  static const bool kIsInteger;
  // Magnitude-wise smallest representable positive value.
  static const Type kPosMin;
  // Magnitude-wise largest representable positive value.
  static const Type kPosMax;
  // Smallest representable value.
  static const Type kMin;
  // Largest representable value.
  static const Type kMax;
  // Magnitude-wise smallest representable negative value.
  // Present only if kIsSigned.
  static const Type kNegMin;
  // Magnitude-wise largest representable negative value.
  // Present only if kIsSigned.
  static const Type kNegMax;
  // Smallest integer x such that 10^x is representable.
  static const int kMin10Exp;
  // Largest integer x such that 10^x is representable.
  static const int kMax10Exp;
  // Smallest positive value such that Type(1) + kEpsilon != Type(1)
  static const Type kEpsilon;
  // Typical rounding error that is enough to cover
  // a few simple floating-point operations.
  // Slightly larger than kEpsilon to account for a few rounding errors.
  // Is zero if kIsInteger.
  static const Type kStdError;
  // Number of decimal digits of mantissa precision.
  // Present only if !kIsInteger.
  static const int kPrecisionDigits;
  // Not a number, i.e. result of 0/0.
  // Present only if !kIsInteger.
  static const Type kNaN;
  // Positive infinity, i.e. result of 1/0.
  // Present only if !kIsInteger.
  static const Type kPosInf;
  // Negative infinity, i.e. result of -1/0.
  // Present only if !kIsInteger.
  static const Type kNegInf;

  // NOTE: Special floating point values behave
  // in a special (but mathematically-logical) way
  // in terms of (in)equalty comparison and mathematical operations
  // -- see out unittest for examples.

  // Special floating point value testers.
  // Present in integer types for convenience.
  static bool IsFinite(const Type x);
  static bool IsNaN(const Type x);
  static bool IsInf(const Type x);
  static bool IsPosInf(const Type x);
  static bool IsNegInf(const Type x);
};

// ========================================================================= //

// All #define-s below are simply to refactor the declarations of
// MathLimits template specializations.
// They are all #undef-ined below.

// The hoop-jumping in *_INT_(MAX|MIN) below is so that the compiler does not
// get an overflow while computing the constants.

#define SIGNED_INT_MAX(Type) \
  (((Type(1) << (sizeof(Type)*8 - 2)) - 1) + (Type(1) << (sizeof(Type)*8 - 2)))

#define SIGNED_INT_MIN(Type) \
  (-(Type(1) << (sizeof(Type)*8 - 2)) - (Type(1) << (sizeof(Type)*8 - 2)))

#define UNSIGNED_INT_MAX(Type) \
  (((Type(1) << (sizeof(Type)*8 - 1)) - 1) + (Type(1) << (sizeof(Type)*8 - 1)))

// Compile-time selected log10-related constants for integer types.
#define SIGNED_MAX_10_EXP(Type) \
  (sizeof(Type) == 1 ? 2 : ( \
    sizeof(Type) == 2 ? 4 : ( \
      sizeof(Type) == 4 ? 9 : ( \
        sizeof(Type) == 8 ? 18 : -1))))

#define UNSIGNED_MAX_10_EXP(Type) \
  (sizeof(Type) == 1 ? 2 : ( \
    sizeof(Type) == 2 ? 4 : ( \
      sizeof(Type) == 4 ? 9 : ( \
        sizeof(Type) == 8 ? 19 : -1))))

#define DECL_INT_LIMIT_FUNCS \
  static bool IsFinite(const Type x) { return true; } \
  static bool IsNaN(const Type x) { return false; } \
  static bool IsInf(const Type x) { return false; } \
  static bool IsPosInf(const Type x) { return false; } \
  static bool IsNegInf(const Type x) { return false; }

#define DECL_SIGNED_INT_LIMITS(IntType, UnsignedIntType) \
template<> \
struct MathLimits<IntType> { \
  typedef IntType Type; \
  typedef UnsignedIntType UnsignedType; \
  static const bool kIsSigned = true; \
  static const bool kIsInteger = true; \
  static const Type kPosMin = 1; \
  static const Type kPosMax = SIGNED_INT_MAX(Type); \
  static const Type kMin = SIGNED_INT_MIN(Type); \
  static const Type kMax = kPosMax; \
  static const Type kNegMin = -1; \
  static const Type kNegMax = kMin; \
  static const int kMin10Exp = 0; \
  static const int kMax10Exp = SIGNED_MAX_10_EXP(Type); \
  static const Type kEpsilon = 1; \
  static const Type kStdError = 0; \
  DECL_INT_LIMIT_FUNCS \
};

#define DECL_UNSIGNED_INT_LIMITS(IntType) \
template<> \
struct MathLimits<IntType> { \
  typedef IntType Type; \
  typedef IntType UnsignedType; \
  static const bool kIsSigned = false; \
  static const bool kIsInteger = true; \
  static const Type kPosMin = 1; \
  static const Type kPosMax = UNSIGNED_INT_MAX(Type); \
  static const Type kMin = 0; \
  static const Type kMax = kPosMax; \
  static const int kMin10Exp = 0; \
  static const int kMax10Exp = UNSIGNED_MAX_10_EXP(Type); \
  static const Type kEpsilon = 1; \
  static const Type kStdError = 0; \
  DECL_INT_LIMIT_FUNCS \
};

DECL_SIGNED_INT_LIMITS(signed char, unsigned char)
DECL_SIGNED_INT_LIMITS(signed short int, unsigned short int) // NOLINT
DECL_SIGNED_INT_LIMITS(signed int, unsigned int)
DECL_SIGNED_INT_LIMITS(signed long int, unsigned long int) // NOLINT
DECL_SIGNED_INT_LIMITS(signed long long int, unsigned long long int) // NOLINT
DECL_UNSIGNED_INT_LIMITS(unsigned char)
DECL_UNSIGNED_INT_LIMITS(unsigned short int) // NOLINT
DECL_UNSIGNED_INT_LIMITS(unsigned int)
DECL_UNSIGNED_INT_LIMITS(unsigned long int) // NOLINT
DECL_UNSIGNED_INT_LIMITS(unsigned long long int) // NOLINT

#undef DECL_SIGNED_INT_LIMITS
#undef DECL_UNSIGNED_INT_LIMITS
#undef SIGNED_INT_MAX
#undef SIGNED_INT_MIN
#undef UNSIGNED_INT_MAX
#undef SIGNED_MAX_10_EXP
#undef UNSIGNED_MAX_10_EXP
#undef DECL_INT_LIMIT_FUNCS

// ========================================================================= //
#ifdef WIN32  // Lacks built-in isnan() and isinf()
#define DECL_FP_LIMIT_FUNCS \
  static bool IsFinite(const Type x) { return _finite(x); } \
  static bool IsNaN(const Type x) { return _isnan(x); } \
  static bool IsInf(const Type x) { return (_fpclass(x) & (_FPCLASS_NINF | _FPCLASS_PINF)) != 0; } \
  static bool IsPosInf(const Type x) { return _fpclass(x) == _FPCLASS_PINF; } \
  static bool IsNegInf(const Type x) { return _fpclass(x) == _FPCLASS_NINF; }
#else
#define DECL_FP_LIMIT_FUNCS \
  static bool IsFinite(const Type x) { return !std::isinf(x)  &&  !std::isnan(x); } \
  static bool IsNaN(const Type x) { return std::isnan(x); } \
  static bool IsInf(const Type x) { return std::isinf(x); } \
  static bool IsPosInf(const Type x) { return std::isinf(x)  &&  x > 0; } \
  static bool IsNegInf(const Type x) { return std::isinf(x)  &&  x < 0; }
#endif

// We can't put floating-point constant values in the header here because
// such constants are not considered to be primitive-type constants by gcc.
// CAVEAT: Hence, they are going to be initialized only during
// the global objects construction time.
#define DECL_FP_LIMITS(FP_Type, PREFIX) \
template<> \
struct MathLimits<FP_Type> { \
  typedef FP_Type Type; \
  typedef FP_Type UnsignedType; \
  static const bool kIsSigned = true; \
  static const bool kIsInteger = false; \
  static const Type kPosMin; \
  static const Type kPosMax; \
  static const Type kMin; \
  static const Type kMax; \
  static const Type kNegMin; \
  static const Type kNegMax; \
  static const int kMin10Exp = PREFIX##_MIN_10_EXP; \
  static const int kMax10Exp = PREFIX##_MAX_10_EXP; \
  static const Type kEpsilon; \
  static const Type kStdError; \
  static const int kPrecisionDigits = PREFIX##_DIG; \
  static const Type kNaN; \
  static const Type kPosInf; \
  static const Type kNegInf; \
  DECL_FP_LIMIT_FUNCS \
};

DECL_FP_LIMITS(float, FLT)
DECL_FP_LIMITS(double, DBL)
DECL_FP_LIMITS(long double, LDBL)

#undef DECL_FP_LIMITS
#undef DECL_FP_LIMIT_FUNCS

// ========================================================================= //

#endif  // YB_GUTIL_MATHLIMITS_H

YugabyteDB (2.13.0.0-b42, bfc6a6643e7399ac8a0e81d06a3ee6d6571b33ab)

Coverage Report

Created: 2022-03-09 17:30

Line	Count	Source (jump to first uncovered line)
1		// Copyright 2005 Google Inc.
2		//
3		// Licensed to the Apache Software Foundation (ASF) under one
4		// or more contributor license agreements. See the NOTICE file
5		// distributed with this work for additional information
6		// regarding copyright ownership. The ASF licenses this file
7		// to you under the Apache License, Version 2.0 (the
8		// "License"); you may not use this file except in compliance
9		// with the License. You may obtain a copy of the License at
10		//
11		// http://www.apache.org/licenses/LICENSE-2.0
12		//
13		// Unless required by applicable law or agreed to in writing,
14		// software distributed under the License is distributed on an
15		// "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
16		// KIND, either express or implied. See the License for the
17		// specific language governing permissions and limitations
18		// under the License.
19		//
20		// The following only applies to changes made to this file as part of YugaByte development.
21		//
22		// Portions Copyright (c) YugaByte, Inc.
23		//
24		// Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except
25		// in compliance with the License. You may obtain a copy of the License at
26		//
27		// http://www.apache.org/licenses/LICENSE-2.0
28		//
29		// Unless required by applicable law or agreed to in writing, software distributed under the License
30		// is distributed on an "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express
31		// or implied. See the License for the specific language governing permissions and limitations
32		// under the License.
33		//
34		// ---
35		//
36		//
37		// Useful integer and floating point limits and type traits.
38		//
39		// This partially replaces/duplictes numeric_limits<> from <limits>.
40		// We get a Google-style class that we have a greater control over
41		// and thus can add new features to it or fix whatever happens to be broken in
42		// numeric_limits for the compilers we use.
43		//
44
45		#ifndef YB_GUTIL_MATHLIMITS_H
46		#define YB_GUTIL_MATHLIMITS_H
47
48		#include <cfloat>
49		#include <cmath>
50
51		// ========================================================================= //
52
53		// Useful integer and floating point limits and type traits.
54		// This is just for the documentation;
55		// real members are defined in our specializations below.
56		template<typename T> struct MathLimits {
57		// Type name.
58		typedef T Type;
59		// Unsigned version of the Type with the same byte size.
60		// Same as Type for floating point and unsigned types.
61		typedef T UnsignedType;
62		// If the type supports negative values.
63		static const bool kIsSigned;
64		// If the type supports only integer values.
65		static const bool kIsInteger;
66		// Magnitude-wise smallest representable positive value.
67		static const Type kPosMin;
68		// Magnitude-wise largest representable positive value.
69		static const Type kPosMax;
70		// Smallest representable value.
71		static const Type kMin;
72		// Largest representable value.
73		static const Type kMax;
74		// Magnitude-wise smallest representable negative value.
75		// Present only if kIsSigned.
76		static const Type kNegMin;
77		// Magnitude-wise largest representable negative value.
78		// Present only if kIsSigned.
79		static const Type kNegMax;
80		// Smallest integer x such that 10^x is representable.
81		static const int kMin10Exp;
82		// Largest integer x such that 10^x is representable.
83		static const int kMax10Exp;
84		// Smallest positive value such that Type(1) + kEpsilon != Type(1)
85		static const Type kEpsilon;
86		// Typical rounding error that is enough to cover
87		// a few simple floating-point operations.
88		// Slightly larger than kEpsilon to account for a few rounding errors.
89		// Is zero if kIsInteger.
90		static const Type kStdError;
91		// Number of decimal digits of mantissa precision.
92		// Present only if !kIsInteger.
93		static const int kPrecisionDigits;
94		// Not a number, i.e. result of 0/0.
95		// Present only if !kIsInteger.
96		static const Type kNaN;
97		// Positive infinity, i.e. result of 1/0.
98		// Present only if !kIsInteger.
99		static const Type kPosInf;
100		// Negative infinity, i.e. result of -1/0.
101		// Present only if !kIsInteger.
102		static const Type kNegInf;
103
104		// NOTE: Special floating point values behave
105		// in a special (but mathematically-logical) way
106		// in terms of (in)equalty comparison and mathematical operations
107		// -- see out unittest for examples.
108
109		// Special floating point value testers.
110		// Present in integer types for convenience.
111		static bool IsFinite(const Type x);
112		static bool IsNaN(const Type x);
113		static bool IsInf(const Type x);
114		static bool IsPosInf(const Type x);
115		static bool IsNegInf(const Type x);
116		};
117
118		// ========================================================================= //
119
120		// All #define-s below are simply to refactor the declarations of
121		// MathLimits template specializations.
122		// They are all #undef-ined below.
123
124		// The hoop-jumping in *_INT_(MAX\|MIN) below is so that the compiler does not
125		// get an overflow while computing the constants.
126
127		#define SIGNED_INT_MAX(Type) \
128		(((Type(1) << (sizeof(Type)8 - 2)) - 1) + (Type(1) << (sizeof(Type)8 - 2)))
129
130		#define SIGNED_INT_MIN(Type) \
131		(-(Type(1) << (sizeof(Type)8 - 2)) - (Type(1) << (sizeof(Type)8 - 2)))
132
133		#define UNSIGNED_INT_MAX(Type) \
134		(((Type(1) << (sizeof(Type)8 - 1)) - 1) + (Type(1) << (sizeof(Type)8 - 1)))
135
136		// Compile-time selected log10-related constants for integer types.
137		#define SIGNED_MAX_10_EXP(Type) \
138		(sizeof(Type) == 1 ? 2 : ( \
139		sizeof(Type) == 2 ? 4 : ( \
140		sizeof(Type) == 4 ? 9 : ( \
141		sizeof(Type) == 8 ? 18 : -1))))
142
143		#define UNSIGNED_MAX_10_EXP(Type) \
144		(sizeof(Type) == 1 ? 2 : ( \
145		sizeof(Type) == 2 ? 4 : ( \
146		sizeof(Type) == 4 ? 9 : ( \
147		sizeof(Type) == 8 ? 19 : -1))))
148
149		#define DECL_INT_LIMIT_FUNCS \
150	0	static bool IsFinite(const Type x) { return true; } \ Unexecuted instantiation: _ZN10MathLimitsIaE8IsFiniteEa Unexecuted instantiation: _ZN10MathLimitsIsE8IsFiniteEs Unexecuted instantiation: _ZN10MathLimitsIiE8IsFiniteEi Unexecuted instantiation: _ZN10MathLimitsIlE8IsFiniteEl Unexecuted instantiation: _ZN10MathLimitsIxE8IsFiniteEx Unexecuted instantiation: _ZN10MathLimitsIhE8IsFiniteEh Unexecuted instantiation: _ZN10MathLimitsItE8IsFiniteEt Unexecuted instantiation: _ZN10MathLimitsIjE8IsFiniteEj Unexecuted instantiation: _ZN10MathLimitsImE8IsFiniteEm Unexecuted instantiation: _ZN10MathLimitsIyE8IsFiniteEy
151	0	static bool IsNaN(const Type x) { return false; } \ Unexecuted instantiation: _ZN10MathLimitsIaE5IsNaNEa Unexecuted instantiation: _ZN10MathLimitsIsE5IsNaNEs Unexecuted instantiation: _ZN10MathLimitsIiE5IsNaNEi Unexecuted instantiation: _ZN10MathLimitsIlE5IsNaNEl Unexecuted instantiation: _ZN10MathLimitsIxE5IsNaNEx Unexecuted instantiation: _ZN10MathLimitsIhE5IsNaNEh Unexecuted instantiation: _ZN10MathLimitsItE5IsNaNEt Unexecuted instantiation: _ZN10MathLimitsIjE5IsNaNEj Unexecuted instantiation: _ZN10MathLimitsImE5IsNaNEm Unexecuted instantiation: _ZN10MathLimitsIyE5IsNaNEy
152	0	static bool IsInf(const Type x) { return false; } \ Unexecuted instantiation: _ZN10MathLimitsIaE5IsInfEa Unexecuted instantiation: _ZN10MathLimitsIsE5IsInfEs Unexecuted instantiation: _ZN10MathLimitsIiE5IsInfEi Unexecuted instantiation: _ZN10MathLimitsIlE5IsInfEl Unexecuted instantiation: _ZN10MathLimitsIxE5IsInfEx Unexecuted instantiation: _ZN10MathLimitsIhE5IsInfEh Unexecuted instantiation: _ZN10MathLimitsItE5IsInfEt Unexecuted instantiation: _ZN10MathLimitsIjE5IsInfEj Unexecuted instantiation: _ZN10MathLimitsImE5IsInfEm Unexecuted instantiation: _ZN10MathLimitsIyE5IsInfEy
153	0	static bool IsPosInf(const Type x) { return false; } \ Unexecuted instantiation: _ZN10MathLimitsIaE8IsPosInfEa Unexecuted instantiation: _ZN10MathLimitsIsE8IsPosInfEs Unexecuted instantiation: _ZN10MathLimitsIiE8IsPosInfEi Unexecuted instantiation: _ZN10MathLimitsIlE8IsPosInfEl Unexecuted instantiation: _ZN10MathLimitsIxE8IsPosInfEx Unexecuted instantiation: _ZN10MathLimitsIhE8IsPosInfEh Unexecuted instantiation: _ZN10MathLimitsItE8IsPosInfEt Unexecuted instantiation: _ZN10MathLimitsIjE8IsPosInfEj Unexecuted instantiation: _ZN10MathLimitsImE8IsPosInfEm Unexecuted instantiation: _ZN10MathLimitsIyE8IsPosInfEy
154	0	static bool IsNegInf(const Type x) { return false; } Unexecuted instantiation: _ZN10MathLimitsIaE8IsNegInfEa Unexecuted instantiation: _ZN10MathLimitsIsE8IsNegInfEs Unexecuted instantiation: _ZN10MathLimitsIiE8IsNegInfEi Unexecuted instantiation: _ZN10MathLimitsIlE8IsNegInfEl Unexecuted instantiation: _ZN10MathLimitsIxE8IsNegInfEx Unexecuted instantiation: _ZN10MathLimitsIhE8IsNegInfEh Unexecuted instantiation: _ZN10MathLimitsItE8IsNegInfEt Unexecuted instantiation: _ZN10MathLimitsIjE8IsNegInfEj Unexecuted instantiation: _ZN10MathLimitsImE8IsNegInfEm Unexecuted instantiation: _ZN10MathLimitsIyE8IsNegInfEy
155
156		#define DECL_SIGNED_INT_LIMITS(IntType, UnsignedIntType) \
157		template<> \
158		struct MathLimits<IntType> { \
159		typedef IntType Type; \
160		typedef UnsignedIntType UnsignedType; \
161		static const bool kIsSigned = true; \
162		static const bool kIsInteger = true; \
163		static const Type kPosMin = 1; \
164		static const Type kPosMax = SIGNED_INT_MAX(Type); \
165		static const Type kMin = SIGNED_INT_MIN(Type); \
166		static const Type kMax = kPosMax; \
167		static const Type kNegMin = -1; \
168		static const Type kNegMax = kMin; \
169		static const int kMin10Exp = 0; \
170		static const int kMax10Exp = SIGNED_MAX_10_EXP(Type); \
171		static const Type kEpsilon = 1; \
172		static const Type kStdError = 0; \
173		DECL_INT_LIMIT_FUNCS \
174		};
175
176		#define DECL_UNSIGNED_INT_LIMITS(IntType) \
177		template<> \
178		struct MathLimits<IntType> { \
179		typedef IntType Type; \
180		typedef IntType UnsignedType; \
181		static const bool kIsSigned = false; \
182		static const bool kIsInteger = true; \
183		static const Type kPosMin = 1; \
184		static const Type kPosMax = UNSIGNED_INT_MAX(Type); \
185		static const Type kMin = 0; \
186		static const Type kMax = kPosMax; \
187		static const int kMin10Exp = 0; \
188		static const int kMax10Exp = UNSIGNED_MAX_10_EXP(Type); \
189		static const Type kEpsilon = 1; \
190		static const Type kStdError = 0; \
191		DECL_INT_LIMIT_FUNCS \
192		};
193
194		DECL_SIGNED_INT_LIMITS(signed char, unsigned char)
195		DECL_SIGNED_INT_LIMITS(signed short int, unsigned short int) // NOLINT
196		DECL_SIGNED_INT_LIMITS(signed int, unsigned int)
197		DECL_SIGNED_INT_LIMITS(signed long int, unsigned long int) // NOLINT
198		DECL_SIGNED_INT_LIMITS(signed long long int, unsigned long long int) // NOLINT
199		DECL_UNSIGNED_INT_LIMITS(unsigned char)
200		DECL_UNSIGNED_INT_LIMITS(unsigned short int) // NOLINT
201		DECL_UNSIGNED_INT_LIMITS(unsigned int)
202		DECL_UNSIGNED_INT_LIMITS(unsigned long int) // NOLINT
203		DECL_UNSIGNED_INT_LIMITS(unsigned long long int) // NOLINT
204
205		#undef DECL_SIGNED_INT_LIMITS
206		#undef DECL_UNSIGNED_INT_LIMITS
207		#undef SIGNED_INT_MAX
208		#undef SIGNED_INT_MIN
209		#undef UNSIGNED_INT_MAX
210		#undef SIGNED_MAX_10_EXP
211		#undef UNSIGNED_MAX_10_EXP
212		#undef DECL_INT_LIMIT_FUNCS
213
214		// ========================================================================= //
215		#ifdef WIN32 // Lacks built-in isnan() and isinf()
216		#define DECL_FP_LIMIT_FUNCS \
217		static bool IsFinite(const Type x) { return _finite(x); } \
218		static bool IsNaN(const Type x) { return _isnan(x); } \
219		static bool IsInf(const Type x) { return (_fpclass(x) & (_FPCLASS_NINF \| _FPCLASS_PINF)) != 0; } \
220		static bool IsPosInf(const Type x) { return _fpclass(x) == _FPCLASS_PINF; } \
221		static bool IsNegInf(const Type x) { return _fpclass(x) == _FPCLASS_NINF; }
222		#else
223		#define DECL_FP_LIMIT_FUNCS \
224	0	static bool IsFinite(const Type x) { return !std::isinf(x) && !std::isnan(x); } \ Unexecuted instantiation: _ZN10MathLimitsIfE8IsFiniteEf Unexecuted instantiation: _ZN10MathLimitsIdE8IsFiniteEd Unexecuted instantiation: _ZN10MathLimitsIeE8IsFiniteEe
225	0	static bool IsNaN(const Type x) { return std::isnan(x); } \ Unexecuted instantiation: _ZN10MathLimitsIfE5IsNaNEf Unexecuted instantiation: _ZN10MathLimitsIdE5IsNaNEd Unexecuted instantiation: _ZN10MathLimitsIeE5IsNaNEe
226	0	static bool IsInf(const Type x) { return std::isinf(x); } \ Unexecuted instantiation: _ZN10MathLimitsIfE5IsInfEf Unexecuted instantiation: _ZN10MathLimitsIdE5IsInfEd Unexecuted instantiation: _ZN10MathLimitsIeE5IsInfEe
227	0	static bool IsPosInf(const Type x) { return std::isinf(x) && x > 0; } \ Unexecuted instantiation: _ZN10MathLimitsIfE8IsPosInfEf Unexecuted instantiation: _ZN10MathLimitsIdE8IsPosInfEd Unexecuted instantiation: _ZN10MathLimitsIeE8IsPosInfEe
228	0	static bool IsNegInf(const Type x) { return std::isinf(x) && x < 0; } Unexecuted instantiation: _ZN10MathLimitsIfE8IsNegInfEf Unexecuted instantiation: _ZN10MathLimitsIdE8IsNegInfEd Unexecuted instantiation: _ZN10MathLimitsIeE8IsNegInfEe
229		#endif
230
231		// We can't put floating-point constant values in the header here because
232		// such constants are not considered to be primitive-type constants by gcc.
233		// CAVEAT: Hence, they are going to be initialized only during
234		// the global objects construction time.
235		#define DECL_FP_LIMITS(FP_Type, PREFIX) \
236		template<> \
237		struct MathLimits<FP_Type> { \
238		typedef FP_Type Type; \
239		typedef FP_Type UnsignedType; \
240		static const bool kIsSigned = true; \
241		static const bool kIsInteger = false; \
242		static const Type kPosMin; \
243		static const Type kPosMax; \
244		static const Type kMin; \
245		static const Type kMax; \
246		static const Type kNegMin; \
247		static const Type kNegMax; \
248		static const int kMin10Exp = PREFIX##_MIN_10_EXP; \
249		static const int kMax10Exp = PREFIX##_MAX_10_EXP; \
250		static const Type kEpsilon; \
251		static const Type kStdError; \
252		static const int kPrecisionDigits = PREFIX##_DIG; \
253		static const Type kNaN; \
254		static const Type kPosInf; \
255		static const Type kNegInf; \
256		DECL_FP_LIMIT_FUNCS \
257		};
258
259		DECL_FP_LIMITS(float, FLT)
260		DECL_FP_LIMITS(double, DBL)
261		DECL_FP_LIMITS(long double, LDBL)
262
263		#undef DECL_FP_LIMITS
264		#undef DECL_FP_LIMIT_FUNCS
265
266		// ========================================================================= //
267
268		#endif // YB_GUTIL_MATHLIMITS_H