This reduces the implementation to our much narrower current use-cases, hardcoded directly where we need it. It also unifies google3 and OSS behavior, which may have deviated over time. PiperOrigin-RevId: 502696374pull/11128/head
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// 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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#ifndef GOOGLE_PROTOBUF_STUBS_MATHUTIL_H_ |
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#define GOOGLE_PROTOBUF_STUBS_MATHUTIL_H_ |
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#include <float.h> |
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#include <cmath> |
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#include <limits> |
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#include "google/protobuf/stubs/common.h" |
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#include "google/protobuf/stubs/logging.h" |
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namespace google { |
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namespace protobuf { |
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namespace internal { |
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// Like std::make_unsigned_t except floating point types map to themselves.
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template <typename T> |
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using MakeUnsignedT = |
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typename std::conditional<std::is_integral<T>::value, std::make_unsigned<T>, |
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std::common_type<T>>::type::type; |
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// Like std::isnan() except a template function that is defined for all numeric
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// types.
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template <typename T, |
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typename std::enable_if<std::is_integral<T>::value, int>::type = 0> |
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bool IsNan(T /*val*/) { |
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return false; |
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} |
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template <typename T, typename std::enable_if<std::is_floating_point<T>::value, |
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int>::type = 0> |
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bool IsNan(T val) { |
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return std::isnan(val); |
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} |
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template<typename T> |
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bool AlmostEquals(T a, T b) { |
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return a == b; |
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} |
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template<> |
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inline bool AlmostEquals(float a, float b) { |
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return fabs(a - b) < 32 * FLT_EPSILON; |
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} |
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template<> |
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inline bool AlmostEquals(double a, double b) { |
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return fabs(a - b) < 32 * DBL_EPSILON; |
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} |
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} // namespace internal
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class MathUtil { |
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public: |
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template <typename T> |
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static T Sign(T value) { |
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if (value == T(0) || internal::IsNan(value)) { |
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return value; |
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} |
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return value > T(0) ? 1 : -1; |
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} |
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template <typename T> |
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static bool AlmostEquals(T a, T b) { |
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return internal::AlmostEquals(a, b); |
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} |
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// Largest of two values.
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// Works correctly for special floating point values.
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// Note: 0.0 and -0.0 are not differentiated by Max (Max(0.0, -0.0) is -0.0),
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// which should be OK because, although they (can) have different
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// bit representation, they are observably the same when examined
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// with arithmetic and (in)equality operators.
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template <typename T> |
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static T Max(const T x, const T y) { |
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return internal::IsNan(x) || x > y ? x : y; |
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} |
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// Absolute value of x
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// Works correctly for unsigned types and
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// for special floating point values.
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// Note: 0.0 and -0.0 are not differentiated by Abs (Abs(0.0) is -0.0),
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// which should be OK: see the comment for Max above.
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template<typename T> |
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static T Abs(const T x) { |
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return x > T(0) ? x : -x; |
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} |
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// Absolute value of the difference between two numbers.
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// Works correctly for signed types and special floating point values.
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template <typename T> |
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static typename internal::MakeUnsignedT<T> AbsDiff(const T x, const T y) { |
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// Carries out arithmetic as unsigned to avoid overflow.
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typedef typename internal::MakeUnsignedT<T> R; |
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return x > y ? R(x) - R(y) : R(y) - R(x); |
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} |
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// If two (usually floating point) numbers are within a certain
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// fraction of their magnitude or within a certain absolute margin of error.
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// This is the same as the following but faster:
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// WithinFraction(x, y, fraction) || WithinMargin(x, y, margin)
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// E.g. WithinFraction(0.0, 1e-10, 1e-5) is false but
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// WithinFractionOrMargin(0.0, 1e-10, 1e-5, 1e-5) is true.
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template<typename T> |
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static bool WithinFractionOrMargin(const T x, const T y, |
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const T fraction, const T margin); |
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}; |
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template<typename T> |
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bool MathUtil::WithinFractionOrMargin(const T x, const T y, |
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const T fraction, const T margin) { |
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// Not just "0 <= fraction" to fool the compiler for unsigned types.
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GOOGLE_DCHECK((T(0) < fraction || T(0) == fraction) && |
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fraction < T(1) && |
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margin >= T(0)); |
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// Template specialization will convert the if() condition to a constant,
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// which will cause the compiler to generate code for either the "if" part
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// or the "then" part. In this way we avoid a compiler warning
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// about a potential integer overflow in crosstool v12 (gcc 4.3.1).
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if (std::numeric_limits<T>::is_integer) { |
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return x == y; |
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} else { |
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if (!std::isfinite(x) || !std::isfinite(y)) { |
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return false; |
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} |
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T relative_margin = static_cast<T>(fraction * Max(Abs(x), Abs(y))); |
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return AbsDiff(x, y) <= Max(margin, relative_margin); |
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} |
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} |
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} // namespace protobuf
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} // namespace google
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#endif // GOOGLE_PROTOBUF_STUBS_MATHUTIL_H_
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