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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 <math.h>
-
-#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) {
-#ifdef _MSC_VER
- return _isnan(value);
-#else
- return isnan(value);
-#endif
-}
-template<>
-inline bool IsNan(double value) {
-#ifdef _MSC_VER
- return _isnan(value);
-#else
- return isnan(value);
-#endif
-}
-
-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) ? 1 : -1;
- }
-
- 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_