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- // Protocol Buffers - Google's data interchange format
- // Copyright 2008 Google Inc. All rights reserved.
- // https://developers.google.com/protocol-buffers/
- //
- // Redistribution and use in source and binary forms, with or without
- // modification, are permitted provided that the following conditions are
- // met:
- //
- // * Redistributions of source code must retain the above copyright
- // notice, this list of conditions and the following disclaimer.
- // * Redistributions in binary form must reproduce the above
- // copyright notice, this list of conditions and the following disclaimer
- // in the documentation and/or other materials provided with the
- // distribution.
- // * Neither the name of Google Inc. nor the names of its
- // contributors may be used to endorse or promote products derived from
- // this software without specific prior written permission.
- //
- // THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
- // "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
- // LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
- // A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT
- // OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
- // SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT
- // LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
- // DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
- // THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
- // (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
- // OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
- // All Rights Reserved.
- //
- // Author: Maxim Lifantsev
- //
- #include <google/protobuf/stubs/mathlimits.h>
- #include <google/protobuf/stubs/common.h>
- namespace google {
- namespace protobuf {
- // MSVC++ 2005 and older compilers think the header declaration was a
- // definition, and erroneously flag these as a duplicate definition.
- #if defined(COMPILER_MSVC) || __cpluscplus < 201103L
- #define DEF_COMMON_LIMITS(Type)
- #define DEF_UNSIGNED_INT_LIMITS(Type)
- #define DEF_SIGNED_INT_LIMITS(Type)
- #define DEF_PRECISION_LIMITS(Type)
- #else
- #define DEF_COMMON_LIMITS(Type) \
- const bool MathLimits<Type>::kIsSigned; \
- const bool MathLimits<Type>::kIsInteger; \
- const int MathLimits<Type>::kMin10Exp; \
- const int MathLimits<Type>::kMax10Exp;
- #define DEF_UNSIGNED_INT_LIMITS(Type) \
- DEF_COMMON_LIMITS(Type) \
- const Type MathLimits<Type>::kPosMin; \
- const Type MathLimits<Type>::kPosMax; \
- const Type MathLimits<Type>::kMin; \
- const Type MathLimits<Type>::kMax; \
- const Type MathLimits<Type>::kEpsilon; \
- const Type MathLimits<Type>::kStdError;
- #define DEF_SIGNED_INT_LIMITS(Type) \
- DEF_UNSIGNED_INT_LIMITS(Type) \
- const Type MathLimits<Type>::kNegMin; \
- const Type MathLimits<Type>::kNegMax;
- #define DEF_PRECISION_LIMITS(Type) \
- const int MathLimits<Type>::kPrecisionDigits;
- #endif // not COMPILER_MSVC
- // http://en.wikipedia.org/wiki/Quadruple_precision_floating-point_format#Double-double_arithmetic
- // With some compilers (gcc 4.6.x) on some platforms (powerpc64),
- // "long double" is implemented as a pair of double: "double double" format.
- // This causes a problem with epsilon (eps).
- // eps is the smallest positive number such that 1.0 + eps > 1.0
- //
- // Normal format: 1.0 + e = 1.0...01 // N-1 zeros for N fraction bits
- // D-D format: 1.0 + e = 1.000...0001 // epsilon can be very small
- //
- // In the normal format, 1.0 + e has to fit in one stretch of bits.
- // The maximum rounding error is half of eps.
- //
- // In the double-double format, 1.0 + e splits across two doubles:
- // 1.0 in the high double, e in the low double, and they do not have to
- // be contiguous. The maximum rounding error on a value close to 1.0 is
- // much larger than eps.
- //
- // Some code checks for errors by comparing a computed value to a golden
- // value +/- some multiple of the maximum rounding error. The maximum
- // rounding error is not available so we use eps as an approximation
- // instead. That fails when long double is in the double-double format.
- // Therefore, we define kStdError as a multiple of
- // max(DBL_EPSILON * DBL_EPSILON, kEpsilon) rather than a multiple of kEpsilon.
- #define DEF_FP_LIMITS(Type, PREFIX) \
- DEF_COMMON_LIMITS(Type) \
- const Type MathLimits<Type>::kPosMin = PREFIX##_MIN; \
- const Type MathLimits<Type>::kPosMax = PREFIX##_MAX; \
- const Type MathLimits<Type>::kMin = -MathLimits<Type>::kPosMax; \
- const Type MathLimits<Type>::kMax = MathLimits<Type>::kPosMax; \
- const Type MathLimits<Type>::kNegMin = -MathLimits<Type>::kPosMin; \
- const Type MathLimits<Type>::kNegMax = -MathLimits<Type>::kPosMax; \
- const Type MathLimits<Type>::kEpsilon = PREFIX##_EPSILON; \
- /* 32 is 5 bits of mantissa error; should be adequate for common errors */ \
- const Type MathLimits<Type>::kStdError = \
- 32 * (DBL_EPSILON * DBL_EPSILON > MathLimits<Type>::kEpsilon \
- ? DBL_EPSILON * DBL_EPSILON : MathLimits<Type>::kEpsilon); \
- DEF_PRECISION_LIMITS(Type) \
- const Type MathLimits<Type>::kNaN = HUGE_VAL - HUGE_VAL; \
- const Type MathLimits<Type>::kPosInf = HUGE_VAL; \
- const Type MathLimits<Type>::kNegInf = -HUGE_VAL;
- // The following are *not* casts!
- DEF_SIGNED_INT_LIMITS(int8)
- DEF_SIGNED_INT_LIMITS(int16) // NOLINT(readability/casting)
- DEF_SIGNED_INT_LIMITS(int32) // NOLINT(readability/casting)
- DEF_SIGNED_INT_LIMITS(int64) // NOLINT(readability/casting)
- DEF_UNSIGNED_INT_LIMITS(uint8)
- DEF_UNSIGNED_INT_LIMITS(uint16) // NOLINT(readability/casting)
- DEF_UNSIGNED_INT_LIMITS(uint32) // NOLINT(readability/casting)
- DEF_UNSIGNED_INT_LIMITS(uint64) // NOLINT(readability/casting)
- DEF_SIGNED_INT_LIMITS(long int)
- DEF_UNSIGNED_INT_LIMITS(unsigned long int)
- DEF_FP_LIMITS(float, FLT)
- DEF_FP_LIMITS(double, DBL)
- DEF_FP_LIMITS(long double, LDBL);
- #undef DEF_COMMON_LIMITS
- #undef DEF_SIGNED_INT_LIMITS
- #undef DEF_UNSIGNED_INT_LIMITS
- #undef DEF_FP_LIMITS
- #undef DEF_PRECISION_LIMITS
- } // namespace protobuf
- } // namespace google
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