Index: third_party/protobuf/src/google/protobuf/stubs/mathutil.h |
diff --git a/third_party/protobuf/src/google/protobuf/stubs/mathutil.h b/third_party/protobuf/src/google/protobuf/stubs/mathutil.h |
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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. |
-#ifndef GOOGLE_PROTOBUF_STUBS_MATHUTIL_H_ |
-#define GOOGLE_PROTOBUF_STUBS_MATHUTIL_H_ |
- |
-#include <float.h> |
- |
-#include <cmath> |
- |
-#include <google/protobuf/stubs/common.h> |
-#include <google/protobuf/stubs/logging.h> |
-#include <google/protobuf/stubs/mathlimits.h> |
- |
-namespace google { |
-namespace protobuf { |
-namespace internal { |
-template<typename T> |
-bool IsNan(T value) { |
- return false; |
-} |
-template<> |
-inline bool IsNan(float value) { return std::isnan(value); } |
-template<> |
-inline bool IsNan(double value) { return std::isnan(value); } |
- |
-template<typename T> |
-bool AlmostEquals(T a, T b) { |
- return a == b; |
-} |
-template<> |
-inline bool AlmostEquals(float a, float b) { |
- return fabs(a - b) < 32 * FLT_EPSILON; |
-} |
- |
-template<> |
-inline bool AlmostEquals(double a, double b) { |
- return fabs(a - b) < 32 * DBL_EPSILON; |
-} |
-} // namespace internal |
- |
-class MathUtil { |
- public: |
- template<typename T> |
- static T Sign(T value) { |
- if (value == T(0) || ::google::protobuf::internal::IsNan<T>(value)) { |
- return value; |
- } |
- return value > T(0) ? value : -value; |
- } |
- |
- template<typename T> |
- static bool AlmostEquals(T a, T b) { |
- return ::google::protobuf::internal::AlmostEquals(a, b); |
- } |
- |
- // Largest of two values. |
- // Works correctly for special floating point values. |
- // Note: 0.0 and -0.0 are not differentiated by Max (Max(0.0, -0.0) is -0.0), |
- // which should be OK because, although they (can) have different |
- // bit representation, they are observably the same when examined |
- // with arithmetic and (in)equality operators. |
- template<typename T> |
- static T Max(const T x, const T y) { |
- return MathLimits<T>::IsNaN(x) || x > y ? x : y; |
- } |
- |
- // Absolute value of x |
- // Works correctly for unsigned types and |
- // for special floating point values. |
- // Note: 0.0 and -0.0 are not differentiated by Abs (Abs(0.0) is -0.0), |
- // which should be OK: see the comment for Max above. |
- template<typename T> |
- static T Abs(const T x) { |
- return x > T(0) ? x : -x; |
- } |
- |
- // Absolute value of the difference between two numbers. |
- // Works correctly for signed types and special floating point values. |
- template<typename T> |
- static typename MathLimits<T>::UnsignedType AbsDiff(const T x, const T y) { |
- // Carries out arithmetic as unsigned to avoid overflow. |
- typedef typename MathLimits<T>::UnsignedType R; |
- return x > y ? R(x) - R(y) : R(y) - R(x); |
- } |
- |
- // If two (usually floating point) numbers are within a certain |
- // fraction of their magnitude or within a certain absolute margin of error. |
- // This is the same as the following but faster: |
- // WithinFraction(x, y, fraction) || WithinMargin(x, y, margin) |
- // E.g. WithinFraction(0.0, 1e-10, 1e-5) is false but |
- // WithinFractionOrMargin(0.0, 1e-10, 1e-5, 1e-5) is true. |
- template<typename T> |
- static bool WithinFractionOrMargin(const T x, const T y, |
- const T fraction, const T margin); |
-}; |
- |
-template<typename T> |
-bool MathUtil::WithinFractionOrMargin(const T x, const T y, |
- const T fraction, const T margin) { |
- // Not just "0 <= fraction" to fool the compiler for unsigned types. |
- GOOGLE_DCHECK((T(0) < fraction || T(0) == fraction) && |
- fraction < T(1) && |
- margin >= T(0)); |
- |
- // Template specialization will convert the if() condition to a constant, |
- // which will cause the compiler to generate code for either the "if" part |
- // or the "then" part. In this way we avoid a compiler warning |
- // about a potential integer overflow in crosstool v12 (gcc 4.3.1). |
- if (MathLimits<T>::kIsInteger) { |
- return x == y; |
- } else { |
- // IsFinite checks are to make kPosInf and kNegInf not within fraction |
- if (!MathLimits<T>::IsFinite(x) && !MathLimits<T>::IsFinite(y)) { |
- return false; |
- } |
- T relative_margin = static_cast<T>(fraction * Max(Abs(x), Abs(y))); |
- return AbsDiff(x, y) <= Max(margin, relative_margin); |
- } |
-} |
- |
-} // namespace protobuf |
-} // namespace google |
- |
-#endif // GOOGLE_PROTOBUF_STUBS_MATHUTIL_H_ |