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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