mirror of https://github.com/M66B/FairEmail.git
145 lines
5.9 KiB
C++
145 lines
5.9 KiB
C++
// Protocol Buffers - Google's data interchange format
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// Copyright 2008 Google Inc. All rights reserved.
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// https://developers.google.com/protocol-buffers/
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//
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// Redistribution and use in source and binary forms, with or without
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// modification, are permitted provided that the following conditions are
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// met:
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//
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// * Redistributions of source code must retain the above copyright
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// notice, this list of conditions and the following disclaimer.
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// * Redistributions in binary form must reproduce the above
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// copyright notice, this list of conditions and the following disclaimer
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// in the documentation and/or other materials provided with the
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// distribution.
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// * Neither the name of Google Inc. nor the names of its
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// contributors may be used to endorse or promote products derived from
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// this software without specific prior written permission.
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//
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// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
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// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
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// LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
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// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT
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// OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
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// SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT
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// LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
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// DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
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// THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
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// (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
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// OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
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// All Rights Reserved.
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//
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// Author: Maxim Lifantsev
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//
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#include <google/protobuf/stubs/mathlimits.h>
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#include <google/protobuf/stubs/common.h>
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namespace google {
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namespace protobuf {
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// MSVC++ 2005 and older compilers think the header declaration was a
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// definition, and erroneously flag these as a duplicate definition.
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#if defined(COMPILER_MSVC) || __cpluscplus < 201103L
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#define DEF_COMMON_LIMITS(Type)
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#define DEF_UNSIGNED_INT_LIMITS(Type)
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#define DEF_SIGNED_INT_LIMITS(Type)
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#define DEF_PRECISION_LIMITS(Type)
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#else
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#define DEF_COMMON_LIMITS(Type) \
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const bool MathLimits<Type>::kIsSigned; \
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const bool MathLimits<Type>::kIsInteger; \
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const int MathLimits<Type>::kMin10Exp; \
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const int MathLimits<Type>::kMax10Exp;
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#define DEF_UNSIGNED_INT_LIMITS(Type) \
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DEF_COMMON_LIMITS(Type) \
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const Type MathLimits<Type>::kPosMin; \
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const Type MathLimits<Type>::kPosMax; \
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const Type MathLimits<Type>::kMin; \
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const Type MathLimits<Type>::kMax; \
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const Type MathLimits<Type>::kEpsilon; \
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const Type MathLimits<Type>::kStdError;
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#define DEF_SIGNED_INT_LIMITS(Type) \
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DEF_UNSIGNED_INT_LIMITS(Type) \
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const Type MathLimits<Type>::kNegMin; \
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const Type MathLimits<Type>::kNegMax;
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#define DEF_PRECISION_LIMITS(Type) \
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const int MathLimits<Type>::kPrecisionDigits;
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#endif // not COMPILER_MSVC
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// http://en.wikipedia.org/wiki/Quadruple_precision_floating-point_format#Double-double_arithmetic
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// With some compilers (gcc 4.6.x) on some platforms (powerpc64),
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// "long double" is implemented as a pair of double: "double double" format.
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// This causes a problem with epsilon (eps).
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// eps is the smallest positive number such that 1.0 + eps > 1.0
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//
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// Normal format: 1.0 + e = 1.0...01 // N-1 zeros for N fraction bits
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// D-D format: 1.0 + e = 1.000...0001 // epsilon can be very small
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//
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// In the normal format, 1.0 + e has to fit in one stretch of bits.
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// The maximum rounding error is half of eps.
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//
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// In the double-double format, 1.0 + e splits across two doubles:
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// 1.0 in the high double, e in the low double, and they do not have to
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// be contiguous. The maximum rounding error on a value close to 1.0 is
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// much larger than eps.
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//
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// Some code checks for errors by comparing a computed value to a golden
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// value +/- some multiple of the maximum rounding error. The maximum
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// rounding error is not available so we use eps as an approximation
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// instead. That fails when long double is in the double-double format.
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// Therefore, we define kStdError as a multiple of
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// max(DBL_EPSILON * DBL_EPSILON, kEpsilon) rather than a multiple of kEpsilon.
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#define DEF_FP_LIMITS(Type, PREFIX) \
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DEF_COMMON_LIMITS(Type) \
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const Type MathLimits<Type>::kPosMin = PREFIX##_MIN; \
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const Type MathLimits<Type>::kPosMax = PREFIX##_MAX; \
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const Type MathLimits<Type>::kMin = -MathLimits<Type>::kPosMax; \
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const Type MathLimits<Type>::kMax = MathLimits<Type>::kPosMax; \
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const Type MathLimits<Type>::kNegMin = -MathLimits<Type>::kPosMin; \
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const Type MathLimits<Type>::kNegMax = -MathLimits<Type>::kPosMax; \
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const Type MathLimits<Type>::kEpsilon = PREFIX##_EPSILON; \
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/* 32 is 5 bits of mantissa error; should be adequate for common errors */ \
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const Type MathLimits<Type>::kStdError = \
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32 * (DBL_EPSILON * DBL_EPSILON > MathLimits<Type>::kEpsilon \
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? DBL_EPSILON * DBL_EPSILON : MathLimits<Type>::kEpsilon); \
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DEF_PRECISION_LIMITS(Type) \
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const Type MathLimits<Type>::kNaN = HUGE_VAL - HUGE_VAL; \
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const Type MathLimits<Type>::kPosInf = HUGE_VAL; \
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const Type MathLimits<Type>::kNegInf = -HUGE_VAL;
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// The following are *not* casts!
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DEF_SIGNED_INT_LIMITS(int8)
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DEF_SIGNED_INT_LIMITS(int16) // NOLINT(readability/casting)
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DEF_SIGNED_INT_LIMITS(int32) // NOLINT(readability/casting)
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DEF_SIGNED_INT_LIMITS(int64) // NOLINT(readability/casting)
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DEF_UNSIGNED_INT_LIMITS(uint8)
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DEF_UNSIGNED_INT_LIMITS(uint16) // NOLINT(readability/casting)
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DEF_UNSIGNED_INT_LIMITS(uint32) // NOLINT(readability/casting)
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DEF_UNSIGNED_INT_LIMITS(uint64) // NOLINT(readability/casting)
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DEF_SIGNED_INT_LIMITS(long int)
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DEF_UNSIGNED_INT_LIMITS(unsigned long int)
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DEF_FP_LIMITS(float, FLT)
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DEF_FP_LIMITS(double, DBL)
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DEF_FP_LIMITS(long double, LDBL);
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#undef DEF_COMMON_LIMITS
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#undef DEF_SIGNED_INT_LIMITS
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#undef DEF_UNSIGNED_INT_LIMITS
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#undef DEF_FP_LIMITS
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#undef DEF_PRECISION_LIMITS
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} // namespace protobuf
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} // namespace google
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