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-rw-r--r--gfx/angle/checkout/src/common/third_party/base/anglebase/numerics/checked_math.h384
-rw-r--r--gfx/angle/checkout/src/common/third_party/base/anglebase/numerics/checked_math_impl.h641
-rw-r--r--gfx/angle/checkout/src/common/third_party/base/anglebase/numerics/clamped_math.h270
-rw-r--r--gfx/angle/checkout/src/common/third_party/base/anglebase/numerics/clamped_math_impl.h368
-rw-r--r--gfx/angle/checkout/src/common/third_party/base/anglebase/numerics/math_constants.h20
-rw-r--r--gfx/angle/checkout/src/common/third_party/base/anglebase/numerics/ranges.h39
-rw-r--r--gfx/angle/checkout/src/common/third_party/base/anglebase/numerics/safe_conversions.h403
-rw-r--r--gfx/angle/checkout/src/common/third_party/base/anglebase/numerics/safe_conversions_arm_impl.h60
-rw-r--r--gfx/angle/checkout/src/common/third_party/base/anglebase/numerics/safe_conversions_impl.h893
-rw-r--r--gfx/angle/checkout/src/common/third_party/base/anglebase/numerics/safe_math.h12
-rw-r--r--gfx/angle/checkout/src/common/third_party/base/anglebase/numerics/safe_math_arm_impl.h131
-rw-r--r--gfx/angle/checkout/src/common/third_party/base/anglebase/numerics/safe_math_clang_gcc_impl.h182
-rw-r--r--gfx/angle/checkout/src/common/third_party/base/anglebase/numerics/safe_math_shared_impl.h227
13 files changed, 3630 insertions, 0 deletions
diff --git a/gfx/angle/checkout/src/common/third_party/base/anglebase/numerics/checked_math.h b/gfx/angle/checkout/src/common/third_party/base/anglebase/numerics/checked_math.h
new file mode 100644
index 0000000000..18bceb7468
--- /dev/null
+++ b/gfx/angle/checkout/src/common/third_party/base/anglebase/numerics/checked_math.h
@@ -0,0 +1,384 @@
+// Copyright 2017 The Chromium Authors. All rights reserved.
+// Use of this source code is governed by a BSD-style license that can be
+// found in the LICENSE file.
+
+#ifndef BASE_NUMERICS_CHECKED_MATH_H_
+#define BASE_NUMERICS_CHECKED_MATH_H_
+
+#include <stddef.h>
+
+#include <limits>
+#include <type_traits>
+
+#include "anglebase/numerics/checked_math_impl.h"
+
+namespace angle
+{
+namespace base
+{
+namespace internal
+{
+
+template <typename T>
+class CheckedNumeric
+{
+ static_assert(std::is_arithmetic<T>::value, "CheckedNumeric<T>: T must be a numeric type.");
+
+ public:
+ template <typename Src>
+ friend class CheckedNumeric;
+
+ using type = T;
+
+ constexpr CheckedNumeric() = default;
+
+ // Copy constructor.
+ template <typename Src>
+ constexpr CheckedNumeric(const CheckedNumeric<Src> &rhs)
+ : state_(rhs.state_.value(), rhs.IsValid())
+ {}
+
+ // This is not an explicit constructor because we implicitly upgrade regular
+ // numerics to CheckedNumerics to make them easier to use.
+ template <typename Src>
+ constexpr CheckedNumeric(Src value) // NOLINT(runtime/explicit)
+ : state_(value)
+ {
+ static_assert(std::is_arithmetic<Src>::value, "Argument must be numeric.");
+ }
+
+ // This is not an explicit constructor because we want a seamless conversion
+ // from StrictNumeric types.
+ template <typename Src>
+ constexpr CheckedNumeric(StrictNumeric<Src> value) // NOLINT(runtime/explicit)
+ : state_(static_cast<Src>(value))
+ {}
+
+ // IsValid() - The public API to test if a CheckedNumeric is currently valid.
+ // A range checked destination type can be supplied using the Dst template
+ // parameter.
+ template <typename Dst = T>
+ constexpr bool IsValid() const
+ {
+ return state_.is_valid() && IsValueInRangeForNumericType<Dst>(state_.value());
+ }
+
+ // AssignIfValid(Dst) - Assigns the underlying value if it is currently valid
+ // and is within the range supported by the destination type. Returns true if
+ // successful and false otherwise.
+ template <typename Dst>
+#if defined(__clang__) || defined(__GNUC__)
+ __attribute__((warn_unused_result))
+#elif defined(_MSC_VER)
+ _Check_return_
+#endif
+ constexpr bool
+ AssignIfValid(Dst *result) const
+ {
+ return BASE_NUMERICS_LIKELY(IsValid<Dst>())
+ ? ((*result = static_cast<Dst>(state_.value())), true)
+ : false;
+ }
+
+ // ValueOrDie() - The primary accessor for the underlying value. If the
+ // current state is not valid it will CHECK and crash.
+ // A range checked destination type can be supplied using the Dst template
+ // parameter, which will trigger a CHECK if the value is not in bounds for
+ // the destination.
+ // The CHECK behavior can be overridden by supplying a handler as a
+ // template parameter, for test code, etc. However, the handler cannot access
+ // the underlying value, and it is not available through other means.
+ template <typename Dst = T, class CheckHandler = CheckOnFailure>
+ constexpr StrictNumeric<Dst> ValueOrDie() const
+ {
+ return BASE_NUMERICS_LIKELY(IsValid<Dst>()) ? static_cast<Dst>(state_.value())
+ : CheckHandler::template HandleFailure<Dst>();
+ }
+
+ // ValueOrDefault(T default_value) - A convenience method that returns the
+ // current value if the state is valid, and the supplied default_value for
+ // any other state.
+ // A range checked destination type can be supplied using the Dst template
+ // parameter. WARNING: This function may fail to compile or CHECK at runtime
+ // if the supplied default_value is not within range of the destination type.
+ template <typename Dst = T, typename Src>
+ constexpr StrictNumeric<Dst> ValueOrDefault(const Src default_value) const
+ {
+ return BASE_NUMERICS_LIKELY(IsValid<Dst>()) ? static_cast<Dst>(state_.value())
+ : checked_cast<Dst>(default_value);
+ }
+
+ // Returns a checked numeric of the specified type, cast from the current
+ // CheckedNumeric. If the current state is invalid or the destination cannot
+ // represent the result then the returned CheckedNumeric will be invalid.
+ template <typename Dst>
+ constexpr CheckedNumeric<typename UnderlyingType<Dst>::type> Cast() const
+ {
+ return *this;
+ }
+
+ // This friend method is available solely for providing more detailed logging
+ // in the tests. Do not implement it in production code, because the
+ // underlying values may change at any time.
+ template <typename U>
+ friend U GetNumericValueForTest(const CheckedNumeric<U> &src);
+
+ // Prototypes for the supported arithmetic operator overloads.
+ template <typename Src>
+ constexpr CheckedNumeric &operator+=(const Src rhs);
+ template <typename Src>
+ constexpr CheckedNumeric &operator-=(const Src rhs);
+ template <typename Src>
+ constexpr CheckedNumeric &operator*=(const Src rhs);
+ template <typename Src>
+ constexpr CheckedNumeric &operator/=(const Src rhs);
+ template <typename Src>
+ constexpr CheckedNumeric &operator%=(const Src rhs);
+ template <typename Src>
+ constexpr CheckedNumeric &operator<<=(const Src rhs);
+ template <typename Src>
+ constexpr CheckedNumeric &operator>>=(const Src rhs);
+ template <typename Src>
+ constexpr CheckedNumeric &operator&=(const Src rhs);
+ template <typename Src>
+ constexpr CheckedNumeric &operator|=(const Src rhs);
+ template <typename Src>
+ constexpr CheckedNumeric &operator^=(const Src rhs);
+
+ constexpr CheckedNumeric operator-() const
+ {
+ // Use an optimized code path for a known run-time variable.
+ if (!MustTreatAsConstexpr(state_.value()) && std::is_signed<T>::value &&
+ std::is_floating_point<T>::value)
+ {
+ return FastRuntimeNegate();
+ }
+ // The negation of two's complement int min is int min.
+ const bool is_valid =
+ IsValid() && (!std::is_signed<T>::value || std::is_floating_point<T>::value ||
+ NegateWrapper(state_.value()) != std::numeric_limits<T>::lowest());
+ return CheckedNumeric<T>(NegateWrapper(state_.value()), is_valid);
+ }
+
+ constexpr CheckedNumeric operator~() const
+ {
+ return CheckedNumeric<decltype(InvertWrapper(T()))>(InvertWrapper(state_.value()),
+ IsValid());
+ }
+
+ constexpr CheckedNumeric Abs() const
+ {
+ return !IsValueNegative(state_.value()) ? *this : -*this;
+ }
+
+ template <typename U>
+ constexpr CheckedNumeric<typename MathWrapper<CheckedMaxOp, T, U>::type> Max(const U rhs) const
+ {
+ return CheckMax(*this, rhs);
+ }
+
+ template <typename U>
+ constexpr CheckedNumeric<typename MathWrapper<CheckedMinOp, T, U>::type> Min(const U rhs) const
+ {
+ return CheckMin(*this, rhs);
+ }
+
+ // This function is available only for integral types. It returns an unsigned
+ // integer of the same width as the source type, containing the absolute value
+ // of the source, and properly handling signed min.
+ constexpr CheckedNumeric<typename UnsignedOrFloatForSize<T>::type> UnsignedAbs() const
+ {
+ return CheckedNumeric<typename UnsignedOrFloatForSize<T>::type>(
+ SafeUnsignedAbs(state_.value()), state_.is_valid());
+ }
+
+ constexpr CheckedNumeric &operator++()
+ {
+ *this += 1;
+ return *this;
+ }
+
+ constexpr CheckedNumeric operator++(int)
+ {
+ CheckedNumeric value = *this;
+ *this += 1;
+ return value;
+ }
+
+ constexpr CheckedNumeric &operator--()
+ {
+ *this -= 1;
+ return *this;
+ }
+
+ constexpr CheckedNumeric operator--(int)
+ {
+ // TODO(pkasting): Consider std::exchange() once it's constexpr in C++20.
+ const CheckedNumeric value = *this;
+ *this -= 1;
+ return value;
+ }
+
+ // These perform the actual math operations on the CheckedNumerics.
+ // Binary arithmetic operations.
+ template <template <typename, typename, typename> class M, typename L, typename R>
+ static constexpr CheckedNumeric MathOp(const L lhs, const R rhs)
+ {
+ using Math = typename MathWrapper<M, L, R>::math;
+ T result = 0;
+ const bool is_valid = Wrapper<L>::is_valid(lhs) && Wrapper<R>::is_valid(rhs) &&
+ Math::Do(Wrapper<L>::value(lhs), Wrapper<R>::value(rhs), &result);
+ return CheckedNumeric<T>(result, is_valid);
+ }
+
+ // Assignment arithmetic operations.
+ template <template <typename, typename, typename> class M, typename R>
+ constexpr CheckedNumeric &MathOp(const R rhs)
+ {
+ using Math = typename MathWrapper<M, T, R>::math;
+ T result = 0; // Using T as the destination saves a range check.
+ const bool is_valid = state_.is_valid() && Wrapper<R>::is_valid(rhs) &&
+ Math::Do(state_.value(), Wrapper<R>::value(rhs), &result);
+ *this = CheckedNumeric<T>(result, is_valid);
+ return *this;
+ }
+
+ private:
+ CheckedNumericState<T> state_;
+
+ CheckedNumeric FastRuntimeNegate() const
+ {
+ T result;
+ const bool success = CheckedSubOp<T, T>::Do(T(0), state_.value(), &result);
+ return CheckedNumeric<T>(result, IsValid() && success);
+ }
+
+ template <typename Src>
+ constexpr CheckedNumeric(Src value, bool is_valid) : state_(value, is_valid)
+ {}
+
+ // These wrappers allow us to handle state the same way for both
+ // CheckedNumeric and POD arithmetic types.
+ template <typename Src>
+ struct Wrapper
+ {
+ static constexpr bool is_valid(Src) { return true; }
+ static constexpr Src value(Src value) { return value; }
+ };
+
+ template <typename Src>
+ struct Wrapper<CheckedNumeric<Src>>
+ {
+ static constexpr bool is_valid(const CheckedNumeric<Src> v) { return v.IsValid(); }
+ static constexpr Src value(const CheckedNumeric<Src> v) { return v.state_.value(); }
+ };
+
+ template <typename Src>
+ struct Wrapper<StrictNumeric<Src>>
+ {
+ static constexpr bool is_valid(const StrictNumeric<Src>) { return true; }
+ static constexpr Src value(const StrictNumeric<Src> v) { return static_cast<Src>(v); }
+ };
+};
+
+// Convenience functions to avoid the ugly template disambiguator syntax.
+template <typename Dst, typename Src>
+constexpr bool IsValidForType(const CheckedNumeric<Src> value)
+{
+ return value.template IsValid<Dst>();
+}
+
+template <typename Dst, typename Src>
+constexpr StrictNumeric<Dst> ValueOrDieForType(const CheckedNumeric<Src> value)
+{
+ return value.template ValueOrDie<Dst>();
+}
+
+template <typename Dst, typename Src, typename Default>
+constexpr StrictNumeric<Dst> ValueOrDefaultForType(const CheckedNumeric<Src> value,
+ const Default default_value)
+{
+ return value.template ValueOrDefault<Dst>(default_value);
+}
+
+// Convience wrapper to return a new CheckedNumeric from the provided arithmetic
+// or CheckedNumericType.
+template <typename T>
+constexpr CheckedNumeric<typename UnderlyingType<T>::type> MakeCheckedNum(const T value)
+{
+ return value;
+}
+
+// These implement the variadic wrapper for the math operations.
+template <template <typename, typename, typename> class M, typename L, typename R>
+constexpr CheckedNumeric<typename MathWrapper<M, L, R>::type> CheckMathOp(const L lhs, const R rhs)
+{
+ using Math = typename MathWrapper<M, L, R>::math;
+ return CheckedNumeric<typename Math::result_type>::template MathOp<M>(lhs, rhs);
+}
+
+// General purpose wrapper template for arithmetic operations.
+template <template <typename, typename, typename> class M, typename L, typename R, typename... Args>
+constexpr auto CheckMathOp(const L lhs, const R rhs, const Args... args)
+{
+ return CheckMathOp<M>(CheckMathOp<M>(lhs, rhs), args...);
+}
+
+BASE_NUMERIC_ARITHMETIC_OPERATORS(Checked, Check, Add, +, +=)
+BASE_NUMERIC_ARITHMETIC_OPERATORS(Checked, Check, Sub, -, -=)
+BASE_NUMERIC_ARITHMETIC_OPERATORS(Checked, Check, Mul, *, *=)
+BASE_NUMERIC_ARITHMETIC_OPERATORS(Checked, Check, Div, /, /=)
+BASE_NUMERIC_ARITHMETIC_OPERATORS(Checked, Check, Mod, %, %=)
+BASE_NUMERIC_ARITHMETIC_OPERATORS(Checked, Check, Lsh, <<, <<=)
+BASE_NUMERIC_ARITHMETIC_OPERATORS(Checked, Check, Rsh, >>, >>=)
+BASE_NUMERIC_ARITHMETIC_OPERATORS(Checked, Check, And, &, &=)
+BASE_NUMERIC_ARITHMETIC_OPERATORS(Checked, Check, Or, |, |=)
+BASE_NUMERIC_ARITHMETIC_OPERATORS(Checked, Check, Xor, ^, ^=)
+BASE_NUMERIC_ARITHMETIC_VARIADIC(Checked, Check, Max)
+BASE_NUMERIC_ARITHMETIC_VARIADIC(Checked, Check, Min)
+
+// These are some extra StrictNumeric operators to support simple pointer
+// arithmetic with our result types. Since wrapping on a pointer is always
+// bad, we trigger the CHECK condition here.
+template <typename L, typename R>
+L *operator+(L *lhs, const StrictNumeric<R> rhs)
+{
+ const uintptr_t result =
+ CheckAdd(reinterpret_cast<uintptr_t>(lhs), CheckMul(sizeof(L), static_cast<R>(rhs)))
+ .template ValueOrDie<uintptr_t>();
+ return reinterpret_cast<L *>(result);
+}
+
+template <typename L, typename R>
+L *operator-(L *lhs, const StrictNumeric<R> rhs)
+{
+ const uintptr_t result =
+ CheckSub(reinterpret_cast<uintptr_t>(lhs), CheckMul(sizeof(L), static_cast<R>(rhs)))
+ .template ValueOrDie<uintptr_t>();
+ return reinterpret_cast<L *>(result);
+}
+
+} // namespace internal
+
+using internal::CheckAdd;
+using internal::CheckAnd;
+using internal::CheckDiv;
+using internal::CheckedNumeric;
+using internal::CheckLsh;
+using internal::CheckMax;
+using internal::CheckMin;
+using internal::CheckMod;
+using internal::CheckMul;
+using internal::CheckOr;
+using internal::CheckRsh;
+using internal::CheckSub;
+using internal::CheckXor;
+using internal::IsValidForType;
+using internal::MakeCheckedNum;
+using internal::ValueOrDefaultForType;
+using internal::ValueOrDieForType;
+
+} // namespace base
+} // namespace angle
+
+#endif // BASE_NUMERICS_CHECKED_MATH_H_
diff --git a/gfx/angle/checkout/src/common/third_party/base/anglebase/numerics/checked_math_impl.h b/gfx/angle/checkout/src/common/third_party/base/anglebase/numerics/checked_math_impl.h
new file mode 100644
index 0000000000..e4b6082770
--- /dev/null
+++ b/gfx/angle/checkout/src/common/third_party/base/anglebase/numerics/checked_math_impl.h
@@ -0,0 +1,641 @@
+// Copyright 2017 The Chromium Authors. All rights reserved.
+// Use of this source code is governed by a BSD-style license that can be
+// found in the LICENSE file.
+
+#ifndef BASE_NUMERICS_CHECKED_MATH_IMPL_H_
+#define BASE_NUMERICS_CHECKED_MATH_IMPL_H_
+
+#include <stddef.h>
+#include <stdint.h>
+
+#include <climits>
+#include <cmath>
+#include <cstdlib>
+#include <limits>
+#include <type_traits>
+
+#include "anglebase/numerics/safe_conversions.h"
+#include "anglebase/numerics/safe_math_shared_impl.h"
+
+namespace angle
+{
+namespace base
+{
+namespace internal
+{
+
+template <typename T>
+constexpr bool CheckedAddImpl(T x, T y, T *result)
+{
+ static_assert(std::is_integral<T>::value, "Type must be integral");
+ // Since the value of x+y is undefined if we have a signed type, we compute
+ // it using the unsigned type of the same size.
+ using UnsignedDst = typename std::make_unsigned<T>::type;
+ using SignedDst = typename std::make_signed<T>::type;
+ const UnsignedDst ux = static_cast<UnsignedDst>(x);
+ const UnsignedDst uy = static_cast<UnsignedDst>(y);
+ const UnsignedDst uresult = static_cast<UnsignedDst>(ux + uy);
+ // Addition is valid if the sign of (x + y) is equal to either that of x or
+ // that of y.
+ if (std::is_signed<T>::value ? static_cast<SignedDst>((uresult ^ ux) & (uresult ^ uy)) < 0
+ : uresult < uy) // Unsigned is either valid or underflow.
+ return false;
+ *result = static_cast<T>(uresult);
+ return true;
+}
+
+template <typename T, typename U, class Enable = void>
+struct CheckedAddOp
+{};
+
+template <typename T, typename U>
+struct CheckedAddOp<
+ T,
+ U,
+ typename std::enable_if<std::is_integral<T>::value && std::is_integral<U>::value>::type>
+{
+ using result_type = typename MaxExponentPromotion<T, U>::type;
+ template <typename V>
+ static constexpr bool Do(T x, U y, V *result)
+ {
+ if constexpr (CheckedAddFastOp<T, U>::is_supported)
+ return CheckedAddFastOp<T, U>::Do(x, y, result);
+
+ // Double the underlying type up to a full machine word.
+ using FastPromotion = typename FastIntegerArithmeticPromotion<T, U>::type;
+ using Promotion =
+ typename std::conditional<(IntegerBitsPlusSign<FastPromotion>::value >
+ IntegerBitsPlusSign<intptr_t>::value),
+ typename BigEnoughPromotion<T, U>::type, FastPromotion>::type;
+ // Fail if either operand is out of range for the promoted type.
+ // TODO(jschuh): This could be made to work for a broader range of values.
+ if (BASE_NUMERICS_UNLIKELY(!IsValueInRangeForNumericType<Promotion>(x) ||
+ !IsValueInRangeForNumericType<Promotion>(y)))
+ {
+ return false;
+ }
+
+ Promotion presult = {};
+ bool is_valid = true;
+ if constexpr (IsIntegerArithmeticSafe<Promotion, T, U>::value)
+ {
+ presult = static_cast<Promotion>(x) + static_cast<Promotion>(y);
+ }
+ else
+ {
+ is_valid =
+ CheckedAddImpl(static_cast<Promotion>(x), static_cast<Promotion>(y), &presult);
+ }
+ if (!is_valid || !IsValueInRangeForNumericType<V>(presult))
+ return false;
+ *result = static_cast<V>(presult);
+ return true;
+ }
+};
+
+template <typename T>
+constexpr bool CheckedSubImpl(T x, T y, T *result)
+{
+ static_assert(std::is_integral<T>::value, "Type must be integral");
+ // Since the value of x+y is undefined if we have a signed type, we compute
+ // it using the unsigned type of the same size.
+ using UnsignedDst = typename std::make_unsigned<T>::type;
+ using SignedDst = typename std::make_signed<T>::type;
+ const UnsignedDst ux = static_cast<UnsignedDst>(x);
+ const UnsignedDst uy = static_cast<UnsignedDst>(y);
+ const UnsignedDst uresult = static_cast<UnsignedDst>(ux - uy);
+ // Subtraction is valid if either x and y have same sign, or (x-y) and x have
+ // the same sign.
+ if (std::is_signed<T>::value ? static_cast<SignedDst>((uresult ^ ux) & (ux ^ uy)) < 0 : x < y)
+ return false;
+ *result = static_cast<T>(uresult);
+ return true;
+}
+
+template <typename T, typename U, class Enable = void>
+struct CheckedSubOp
+{};
+
+template <typename T, typename U>
+struct CheckedSubOp<
+ T,
+ U,
+ typename std::enable_if<std::is_integral<T>::value && std::is_integral<U>::value>::type>
+{
+ using result_type = typename MaxExponentPromotion<T, U>::type;
+ template <typename V>
+ static constexpr bool Do(T x, U y, V *result)
+ {
+ if constexpr (CheckedSubFastOp<T, U>::is_supported)
+ return CheckedSubFastOp<T, U>::Do(x, y, result);
+
+ // Double the underlying type up to a full machine word.
+ using FastPromotion = typename FastIntegerArithmeticPromotion<T, U>::type;
+ using Promotion =
+ typename std::conditional<(IntegerBitsPlusSign<FastPromotion>::value >
+ IntegerBitsPlusSign<intptr_t>::value),
+ typename BigEnoughPromotion<T, U>::type, FastPromotion>::type;
+ // Fail if either operand is out of range for the promoted type.
+ // TODO(jschuh): This could be made to work for a broader range of values.
+ if (BASE_NUMERICS_UNLIKELY(!IsValueInRangeForNumericType<Promotion>(x) ||
+ !IsValueInRangeForNumericType<Promotion>(y)))
+ {
+ return false;
+ }
+
+ Promotion presult = {};
+ bool is_valid = true;
+ if constexpr (IsIntegerArithmeticSafe<Promotion, T, U>::value)
+ {
+ presult = static_cast<Promotion>(x) - static_cast<Promotion>(y);
+ }
+ else
+ {
+ is_valid =
+ CheckedSubImpl(static_cast<Promotion>(x), static_cast<Promotion>(y), &presult);
+ }
+ if (!is_valid || !IsValueInRangeForNumericType<V>(presult))
+ return false;
+ *result = static_cast<V>(presult);
+ return true;
+ }
+};
+
+template <typename T>
+constexpr bool CheckedMulImpl(T x, T y, T *result)
+{
+ static_assert(std::is_integral<T>::value, "Type must be integral");
+ // Since the value of x*y is potentially undefined if we have a signed type,
+ // we compute it using the unsigned type of the same size.
+ using UnsignedDst = typename std::make_unsigned<T>::type;
+ using SignedDst = typename std::make_signed<T>::type;
+ const UnsignedDst ux = SafeUnsignedAbs(x);
+ const UnsignedDst uy = SafeUnsignedAbs(y);
+ const UnsignedDst uresult = static_cast<UnsignedDst>(ux * uy);
+ const bool is_negative = std::is_signed<T>::value && static_cast<SignedDst>(x ^ y) < 0;
+ // We have a fast out for unsigned identity or zero on the second operand.
+ // After that it's an unsigned overflow check on the absolute value, with
+ // a +1 bound for a negative result.
+ if (uy > UnsignedDst(!std::is_signed<T>::value || is_negative) &&
+ ux > (std::numeric_limits<T>::max() + UnsignedDst(is_negative)) / uy)
+ return false;
+ *result = is_negative ? 0 - uresult : uresult;
+ return true;
+}
+
+template <typename T, typename U, class Enable = void>
+struct CheckedMulOp
+{};
+
+template <typename T, typename U>
+struct CheckedMulOp<
+ T,
+ U,
+ typename std::enable_if<std::is_integral<T>::value && std::is_integral<U>::value>::type>
+{
+ using result_type = typename MaxExponentPromotion<T, U>::type;
+ template <typename V>
+ static constexpr bool Do(T x, U y, V *result)
+ {
+ if constexpr (CheckedMulFastOp<T, U>::is_supported)
+ return CheckedMulFastOp<T, U>::Do(x, y, result);
+
+ using Promotion = typename FastIntegerArithmeticPromotion<T, U>::type;
+ // Verify the destination type can hold the result (always true for 0).
+ if (BASE_NUMERICS_UNLIKELY((!IsValueInRangeForNumericType<Promotion>(x) ||
+ !IsValueInRangeForNumericType<Promotion>(y)) &&
+ x && y))
+ {
+ return false;
+ }
+
+ Promotion presult = {};
+ bool is_valid = true;
+ if constexpr (CheckedMulFastOp<Promotion, Promotion>::is_supported)
+ {
+ // The fast op may be available with the promoted type.
+ is_valid = CheckedMulFastOp<Promotion, Promotion>::Do(x, y, &presult);
+ }
+ else if (IsIntegerArithmeticSafe<Promotion, T, U>::value)
+ {
+ presult = static_cast<Promotion>(x) * static_cast<Promotion>(y);
+ }
+ else
+ {
+ is_valid =
+ CheckedMulImpl(static_cast<Promotion>(x), static_cast<Promotion>(y), &presult);
+ }
+ if (!is_valid || !IsValueInRangeForNumericType<V>(presult))
+ return false;
+ *result = static_cast<V>(presult);
+ return true;
+ }
+};
+
+// Division just requires a check for a zero denominator or an invalid negation
+// on signed min/-1.
+template <typename T, typename U, class Enable = void>
+struct CheckedDivOp
+{};
+
+template <typename T, typename U>
+struct CheckedDivOp<
+ T,
+ U,
+ typename std::enable_if<std::is_integral<T>::value && std::is_integral<U>::value>::type>
+{
+ using result_type = typename MaxExponentPromotion<T, U>::type;
+ template <typename V>
+ static constexpr bool Do(T x, U y, V *result)
+ {
+ if (BASE_NUMERICS_UNLIKELY(!y))
+ return false;
+
+ // The overflow check can be compiled away if we don't have the exact
+ // combination of types needed to trigger this case.
+ using Promotion = typename BigEnoughPromotion<T, U>::type;
+ if (BASE_NUMERICS_UNLIKELY(
+ (std::is_signed<T>::value && std::is_signed<U>::value &&
+ IsTypeInRangeForNumericType<T, Promotion>::value &&
+ static_cast<Promotion>(x) == std::numeric_limits<Promotion>::lowest() &&
+ y == static_cast<U>(-1))))
+ {
+ return false;
+ }
+
+ // This branch always compiles away if the above branch wasn't removed.
+ if (BASE_NUMERICS_UNLIKELY((!IsValueInRangeForNumericType<Promotion>(x) ||
+ !IsValueInRangeForNumericType<Promotion>(y)) &&
+ x))
+ {
+ return false;
+ }
+
+ const Promotion presult = Promotion(x) / Promotion(y);
+ if (!IsValueInRangeForNumericType<V>(presult))
+ return false;
+ *result = static_cast<V>(presult);
+ return true;
+ }
+};
+
+template <typename T, typename U, class Enable = void>
+struct CheckedModOp
+{};
+
+template <typename T, typename U>
+struct CheckedModOp<
+ T,
+ U,
+ typename std::enable_if<std::is_integral<T>::value && std::is_integral<U>::value>::type>
+{
+ using result_type = typename MaxExponentPromotion<T, U>::type;
+ template <typename V>
+ static constexpr bool Do(T x, U y, V *result)
+ {
+ if (BASE_NUMERICS_UNLIKELY(!y))
+ return false;
+
+ using Promotion = typename BigEnoughPromotion<T, U>::type;
+ if (BASE_NUMERICS_UNLIKELY(
+ (std::is_signed<T>::value && std::is_signed<U>::value &&
+ IsTypeInRangeForNumericType<T, Promotion>::value &&
+ static_cast<Promotion>(x) == std::numeric_limits<Promotion>::lowest() &&
+ y == static_cast<U>(-1))))
+ {
+ *result = 0;
+ return true;
+ }
+
+ const Promotion presult = static_cast<Promotion>(x) % static_cast<Promotion>(y);
+ if (!IsValueInRangeForNumericType<V>(presult))
+ return false;
+ *result = static_cast<Promotion>(presult);
+ return true;
+ }
+};
+
+template <typename T, typename U, class Enable = void>
+struct CheckedLshOp
+{};
+
+// Left shift. Shifts less than 0 or greater than or equal to the number
+// of bits in the promoted type are undefined. Shifts of negative values
+// are undefined. Otherwise it is defined when the result fits.
+template <typename T, typename U>
+struct CheckedLshOp<
+ T,
+ U,
+ typename std::enable_if<std::is_integral<T>::value && std::is_integral<U>::value>::type>
+{
+ using result_type = T;
+ template <typename V>
+ static constexpr bool Do(T x, U shift, V *result)
+ {
+ // Disallow negative numbers and verify the shift is in bounds.
+ if (BASE_NUMERICS_LIKELY(!IsValueNegative(x) &&
+ as_unsigned(shift) < as_unsigned(std::numeric_limits<T>::digits)))
+ {
+ // Shift as unsigned to avoid undefined behavior.
+ *result = static_cast<V>(as_unsigned(x) << shift);
+ // If the shift can be reversed, we know it was valid.
+ return *result >> shift == x;
+ }
+
+ // Handle the legal corner-case of a full-width signed shift of zero.
+ if (!std::is_signed<T>::value || x ||
+ as_unsigned(shift) != as_unsigned(std::numeric_limits<T>::digits))
+ return false;
+ *result = 0;
+ return true;
+ }
+};
+
+template <typename T, typename U, class Enable = void>
+struct CheckedRshOp
+{};
+
+// Right shift. Shifts less than 0 or greater than or equal to the number
+// of bits in the promoted type are undefined. Otherwise, it is always defined,
+// but a right shift of a negative value is implementation-dependent.
+template <typename T, typename U>
+struct CheckedRshOp<
+ T,
+ U,
+ typename std::enable_if<std::is_integral<T>::value && std::is_integral<U>::value>::type>
+{
+ using result_type = T;
+ template <typename V>
+ static bool Do(T x, U shift, V *result)
+ {
+ // Use sign conversion to push negative values out of range.
+ if (BASE_NUMERICS_UNLIKELY(as_unsigned(shift) >= IntegerBitsPlusSign<T>::value))
+ {
+ return false;
+ }
+
+ const T tmp = x >> shift;
+ if (!IsValueInRangeForNumericType<V>(tmp))
+ return false;
+ *result = static_cast<V>(tmp);
+ return true;
+ }
+};
+
+template <typename T, typename U, class Enable = void>
+struct CheckedAndOp
+{};
+
+// For simplicity we support only unsigned integer results.
+template <typename T, typename U>
+struct CheckedAndOp<
+ T,
+ U,
+ typename std::enable_if<std::is_integral<T>::value && std::is_integral<U>::value>::type>
+{
+ using result_type =
+ typename std::make_unsigned<typename MaxExponentPromotion<T, U>::type>::type;
+ template <typename V>
+ static constexpr bool Do(T x, U y, V *result)
+ {
+ const result_type tmp = static_cast<result_type>(x) & static_cast<result_type>(y);
+ if (!IsValueInRangeForNumericType<V>(tmp))
+ return false;
+ *result = static_cast<V>(tmp);
+ return true;
+ }
+};
+
+template <typename T, typename U, class Enable = void>
+struct CheckedOrOp
+{};
+
+// For simplicity we support only unsigned integers.
+template <typename T, typename U>
+struct CheckedOrOp<
+ T,
+ U,
+ typename std::enable_if<std::is_integral<T>::value && std::is_integral<U>::value>::type>
+{
+ using result_type =
+ typename std::make_unsigned<typename MaxExponentPromotion<T, U>::type>::type;
+ template <typename V>
+ static constexpr bool Do(T x, U y, V *result)
+ {
+ const result_type tmp = static_cast<result_type>(x) | static_cast<result_type>(y);
+ if (!IsValueInRangeForNumericType<V>(tmp))
+ return false;
+ *result = static_cast<V>(tmp);
+ return true;
+ }
+};
+
+template <typename T, typename U, class Enable = void>
+struct CheckedXorOp
+{};
+
+// For simplicity we support only unsigned integers.
+template <typename T, typename U>
+struct CheckedXorOp<
+ T,
+ U,
+ typename std::enable_if<std::is_integral<T>::value && std::is_integral<U>::value>::type>
+{
+ using result_type =
+ typename std::make_unsigned<typename MaxExponentPromotion<T, U>::type>::type;
+ template <typename V>
+ static constexpr bool Do(T x, U y, V *result)
+ {
+ const result_type tmp = static_cast<result_type>(x) ^ static_cast<result_type>(y);
+ if (!IsValueInRangeForNumericType<V>(tmp))
+ return false;
+ *result = static_cast<V>(tmp);
+ return true;
+ }
+};
+
+// Max doesn't really need to be implemented this way because it can't fail,
+// but it makes the code much cleaner to use the MathOp wrappers.
+template <typename T, typename U, class Enable = void>
+struct CheckedMaxOp
+{};
+
+template <typename T, typename U>
+struct CheckedMaxOp<
+ T,
+ U,
+ typename std::enable_if<std::is_arithmetic<T>::value && std::is_arithmetic<U>::value>::type>
+{
+ using result_type = typename MaxExponentPromotion<T, U>::type;
+ template <typename V>
+ static constexpr bool Do(T x, U y, V *result)
+ {
+ const result_type tmp =
+ IsGreater<T, U>::Test(x, y) ? static_cast<result_type>(x) : static_cast<result_type>(y);
+ if (!IsValueInRangeForNumericType<V>(tmp))
+ return false;
+ *result = static_cast<V>(tmp);
+ return true;
+ }
+};
+
+// Min doesn't really need to be implemented this way because it can't fail,
+// but it makes the code much cleaner to use the MathOp wrappers.
+template <typename T, typename U, class Enable = void>
+struct CheckedMinOp
+{};
+
+template <typename T, typename U>
+struct CheckedMinOp<
+ T,
+ U,
+ typename std::enable_if<std::is_arithmetic<T>::value && std::is_arithmetic<U>::value>::type>
+{
+ using result_type = typename LowestValuePromotion<T, U>::type;
+ template <typename V>
+ static constexpr bool Do(T x, U y, V *result)
+ {
+ const result_type tmp =
+ IsLess<T, U>::Test(x, y) ? static_cast<result_type>(x) : static_cast<result_type>(y);
+ if (!IsValueInRangeForNumericType<V>(tmp))
+ return false;
+ *result = static_cast<V>(tmp);
+ return true;
+ }
+};
+
+// This is just boilerplate that wraps the standard floating point arithmetic.
+// A macro isn't the nicest solution, but it beats rewriting these repeatedly.
+#define BASE_FLOAT_ARITHMETIC_OPS(NAME, OP) \
+ template <typename T, typename U> \
+ struct Checked##NAME##Op<T, U, \
+ typename std::enable_if<std::is_floating_point<T>::value || \
+ std::is_floating_point<U>::value>::type> \
+ { \
+ using result_type = typename MaxExponentPromotion<T, U>::type; \
+ template <typename V> \
+ static constexpr bool Do(T x, U y, V *result) \
+ { \
+ using Promotion = typename MaxExponentPromotion<T, U>::type; \
+ const Promotion presult = x OP y; \
+ if (!IsValueInRangeForNumericType<V>(presult)) \
+ return false; \
+ *result = static_cast<V>(presult); \
+ return true; \
+ } \
+ };
+
+BASE_FLOAT_ARITHMETIC_OPS(Add, +)
+BASE_FLOAT_ARITHMETIC_OPS(Sub, -)
+BASE_FLOAT_ARITHMETIC_OPS(Mul, *)
+BASE_FLOAT_ARITHMETIC_OPS(Div, /)
+
+#undef BASE_FLOAT_ARITHMETIC_OPS
+
+// Floats carry around their validity state with them, but integers do not. So,
+// we wrap the underlying value in a specialization in order to hide that detail
+// and expose an interface via accessors.
+enum NumericRepresentation
+{
+ NUMERIC_INTEGER,
+ NUMERIC_FLOATING,
+ NUMERIC_UNKNOWN
+};
+
+template <typename NumericType>
+struct GetNumericRepresentation
+{
+ static const NumericRepresentation value =
+ std::is_integral<NumericType>::value
+ ? NUMERIC_INTEGER
+ : (std::is_floating_point<NumericType>::value ? NUMERIC_FLOATING : NUMERIC_UNKNOWN);
+};
+
+template <typename T, NumericRepresentation type = GetNumericRepresentation<T>::value>
+class CheckedNumericState
+{};
+
+// Integrals require quite a bit of additional housekeeping to manage state.
+template <typename T>
+class CheckedNumericState<T, NUMERIC_INTEGER>
+{
+ public:
+ template <typename Src = int>
+ constexpr explicit CheckedNumericState(Src value = 0, bool is_valid = true)
+ : is_valid_(is_valid && IsValueInRangeForNumericType<T>(value)),
+ value_(WellDefinedConversionOrZero(value, is_valid_))
+ {
+ static_assert(std::is_arithmetic<Src>::value, "Argument must be numeric.");
+ }
+
+ template <typename Src>
+ constexpr CheckedNumericState(const CheckedNumericState<Src> &rhs)
+ : CheckedNumericState(rhs.value(), rhs.is_valid())
+ {}
+
+ constexpr bool is_valid() const { return is_valid_; }
+
+ constexpr T value() const { return value_; }
+
+ private:
+ // Ensures that a type conversion does not trigger undefined behavior.
+ template <typename Src>
+ static constexpr T WellDefinedConversionOrZero(Src value, bool is_valid)
+ {
+ using SrcType = typename internal::UnderlyingType<Src>::type;
+ return (std::is_integral<SrcType>::value || is_valid) ? static_cast<T>(value) : 0;
+ }
+
+ // is_valid_ precedes value_ because member intializers in the constructors
+ // are evaluated in field order, and is_valid_ must be read when initializing
+ // value_.
+ bool is_valid_;
+ T value_;
+};
+
+// Floating points maintain their own validity, but need translation wrappers.
+template <typename T>
+class CheckedNumericState<T, NUMERIC_FLOATING>
+{
+ public:
+ template <typename Src = double>
+ constexpr explicit CheckedNumericState(Src value = 0.0, bool is_valid = true)
+ : value_(
+ WellDefinedConversionOrNaN(value, is_valid && IsValueInRangeForNumericType<T>(value)))
+ {}
+
+ template <typename Src>
+ constexpr CheckedNumericState(const CheckedNumericState<Src> &rhs)
+ : CheckedNumericState(rhs.value(), rhs.is_valid())
+ {}
+
+ constexpr bool is_valid() const
+ {
+ // Written this way because std::isfinite is not reliably constexpr.
+ return MustTreatAsConstexpr(value_) ? value_ <= std::numeric_limits<T>::max() &&
+ value_ >= std::numeric_limits<T>::lowest()
+ : std::isfinite(value_);
+ }
+
+ constexpr T value() const { return value_; }
+
+ private:
+ // Ensures that a type conversion does not trigger undefined behavior.
+ template <typename Src>
+ static constexpr T WellDefinedConversionOrNaN(Src value, bool is_valid)
+ {
+ using SrcType = typename internal::UnderlyingType<Src>::type;
+ return (StaticDstRangeRelationToSrcRange<T, SrcType>::value == NUMERIC_RANGE_CONTAINED ||
+ is_valid)
+ ? static_cast<T>(value)
+ : std::numeric_limits<T>::quiet_NaN();
+ }
+
+ T value_;
+};
+
+} // namespace internal
+} // namespace base
+} // namespace angle
+
+#endif // BASE_NUMERICS_CHECKED_MATH_IMPL_H_
diff --git a/gfx/angle/checkout/src/common/third_party/base/anglebase/numerics/clamped_math.h b/gfx/angle/checkout/src/common/third_party/base/anglebase/numerics/clamped_math.h
new file mode 100644
index 0000000000..33d2e4b233
--- /dev/null
+++ b/gfx/angle/checkout/src/common/third_party/base/anglebase/numerics/clamped_math.h
@@ -0,0 +1,270 @@
+// Copyright 2017 The Chromium Authors. All rights reserved.
+// Use of this source code is governed by a BSD-style license that can be
+// found in the LICENSE file.
+
+#ifndef BASE_NUMERICS_CLAMPED_MATH_H_
+#define BASE_NUMERICS_CLAMPED_MATH_H_
+
+#include <stddef.h>
+
+#include <limits>
+#include <type_traits>
+
+#include "anglebase/numerics/clamped_math_impl.h"
+
+namespace angle
+{
+namespace base
+{
+namespace internal
+{
+
+template <typename T>
+class ClampedNumeric
+{
+ static_assert(std::is_arithmetic<T>::value, "ClampedNumeric<T>: T must be a numeric type.");
+
+ public:
+ using type = T;
+
+ constexpr ClampedNumeric() : value_(0) {}
+
+ // Copy constructor.
+ template <typename Src>
+ constexpr ClampedNumeric(const ClampedNumeric<Src> &rhs) : value_(saturated_cast<T>(rhs.value_))
+ {}
+
+ template <typename Src>
+ friend class ClampedNumeric;
+
+ // This is not an explicit constructor because we implicitly upgrade regular
+ // numerics to ClampedNumerics to make them easier to use.
+ template <typename Src>
+ constexpr ClampedNumeric(Src value) // NOLINT(runtime/explicit)
+ : value_(saturated_cast<T>(value))
+ {
+ static_assert(std::is_arithmetic<Src>::value, "Argument must be numeric.");
+ }
+
+ // This is not an explicit constructor because we want a seamless conversion
+ // from StrictNumeric types.
+ template <typename Src>
+ constexpr ClampedNumeric(StrictNumeric<Src> value) // NOLINT(runtime/explicit)
+ : value_(saturated_cast<T>(static_cast<Src>(value)))
+ {}
+
+ // Returns a ClampedNumeric of the specified type, cast from the current
+ // ClampedNumeric, and saturated to the destination type.
+ template <typename Dst>
+ constexpr ClampedNumeric<typename UnderlyingType<Dst>::type> Cast() const
+ {
+ return *this;
+ }
+
+ // Prototypes for the supported arithmetic operator overloads.
+ template <typename Src>
+ constexpr ClampedNumeric &operator+=(const Src rhs);
+ template <typename Src>
+ constexpr ClampedNumeric &operator-=(const Src rhs);
+ template <typename Src>
+ constexpr ClampedNumeric &operator*=(const Src rhs);
+ template <typename Src>
+ constexpr ClampedNumeric &operator/=(const Src rhs);
+ template <typename Src>
+ constexpr ClampedNumeric &operator%=(const Src rhs);
+ template <typename Src>
+ constexpr ClampedNumeric &operator<<=(const Src rhs);
+ template <typename Src>
+ constexpr ClampedNumeric &operator>>=(const Src rhs);
+ template <typename Src>
+ constexpr ClampedNumeric &operator&=(const Src rhs);
+ template <typename Src>
+ constexpr ClampedNumeric &operator|=(const Src rhs);
+ template <typename Src>
+ constexpr ClampedNumeric &operator^=(const Src rhs);
+
+ constexpr ClampedNumeric operator-() const
+ {
+ // The negation of two's complement int min is int min, so that's the
+ // only overflow case where we will saturate.
+ return ClampedNumeric<T>(SaturatedNegWrapper(value_));
+ }
+
+ constexpr ClampedNumeric operator~() const
+ {
+ return ClampedNumeric<decltype(InvertWrapper(T()))>(InvertWrapper(value_));
+ }
+
+ constexpr ClampedNumeric Abs() const
+ {
+ // The negation of two's complement int min is int min, so that's the
+ // only overflow case where we will saturate.
+ return ClampedNumeric<T>(SaturatedAbsWrapper(value_));
+ }
+
+ template <typename U>
+ constexpr ClampedNumeric<typename MathWrapper<ClampedMaxOp, T, U>::type> Max(const U rhs) const
+ {
+ using result_type = typename MathWrapper<ClampedMaxOp, T, U>::type;
+ return ClampedNumeric<result_type>(ClampedMaxOp<T, U>::Do(value_, Wrapper<U>::value(rhs)));
+ }
+
+ template <typename U>
+ constexpr ClampedNumeric<typename MathWrapper<ClampedMinOp, T, U>::type> Min(const U rhs) const
+ {
+ using result_type = typename MathWrapper<ClampedMinOp, T, U>::type;
+ return ClampedNumeric<result_type>(ClampedMinOp<T, U>::Do(value_, Wrapper<U>::value(rhs)));
+ }
+
+ // This function is available only for integral types. It returns an unsigned
+ // integer of the same width as the source type, containing the absolute value
+ // of the source, and properly handling signed min.
+ constexpr ClampedNumeric<typename UnsignedOrFloatForSize<T>::type> UnsignedAbs() const
+ {
+ return ClampedNumeric<typename UnsignedOrFloatForSize<T>::type>(SafeUnsignedAbs(value_));
+ }
+
+ constexpr ClampedNumeric &operator++()
+ {
+ *this += 1;
+ return *this;
+ }
+
+ constexpr ClampedNumeric operator++(int)
+ {
+ ClampedNumeric value = *this;
+ *this += 1;
+ return value;
+ }
+
+ constexpr ClampedNumeric &operator--()
+ {
+ *this -= 1;
+ return *this;
+ }
+
+ constexpr ClampedNumeric operator--(int)
+ {
+ ClampedNumeric value = *this;
+ *this -= 1;
+ return value;
+ }
+
+ // These perform the actual math operations on the ClampedNumerics.
+ // Binary arithmetic operations.
+ template <template <typename, typename, typename> class M, typename L, typename R>
+ static constexpr ClampedNumeric MathOp(const L lhs, const R rhs)
+ {
+ using Math = typename MathWrapper<M, L, R>::math;
+ return ClampedNumeric<T>(
+ Math::template Do<T>(Wrapper<L>::value(lhs), Wrapper<R>::value(rhs)));
+ }
+
+ // Assignment arithmetic operations.
+ template <template <typename, typename, typename> class M, typename R>
+ constexpr ClampedNumeric &MathOp(const R rhs)
+ {
+ using Math = typename MathWrapper<M, T, R>::math;
+ *this = ClampedNumeric<T>(Math::template Do<T>(value_, Wrapper<R>::value(rhs)));
+ return *this;
+ }
+
+ template <typename Dst>
+ constexpr operator Dst() const
+ {
+ return saturated_cast<typename ArithmeticOrUnderlyingEnum<Dst>::type>(value_);
+ }
+
+ // This method extracts the raw integer value without saturating it to the
+ // destination type as the conversion operator does. This is useful when
+ // e.g. assigning to an auto type or passing as a deduced template parameter.
+ constexpr T RawValue() const { return value_; }
+
+ private:
+ T value_;
+
+ // These wrappers allow us to handle state the same way for both
+ // ClampedNumeric and POD arithmetic types.
+ template <typename Src>
+ struct Wrapper
+ {
+ static constexpr Src value(Src value)
+ {
+ return static_cast<typename UnderlyingType<Src>::type>(value);
+ }
+ };
+};
+
+// Convience wrapper to return a new ClampedNumeric from the provided arithmetic
+// or ClampedNumericType.
+template <typename T>
+constexpr ClampedNumeric<typename UnderlyingType<T>::type> MakeClampedNum(const T value)
+{
+ return value;
+}
+
+#if !BASE_NUMERICS_DISABLE_OSTREAM_OPERATORS
+// Overload the ostream output operator to make logging work nicely.
+template <typename T>
+std::ostream &operator<<(std::ostream &os, const ClampedNumeric<T> &value)
+{
+ os << static_cast<T>(value);
+ return os;
+}
+#endif
+
+// These implement the variadic wrapper for the math operations.
+template <template <typename, typename, typename> class M, typename L, typename R>
+constexpr ClampedNumeric<typename MathWrapper<M, L, R>::type> ClampMathOp(const L lhs, const R rhs)
+{
+ using Math = typename MathWrapper<M, L, R>::math;
+ return ClampedNumeric<typename Math::result_type>::template MathOp<M>(lhs, rhs);
+}
+
+// General purpose wrapper template for arithmetic operations.
+template <template <typename, typename, typename> class M, typename L, typename R, typename... Args>
+constexpr auto ClampMathOp(const L lhs, const R rhs, const Args... args)
+{
+ return ClampMathOp<M>(ClampMathOp<M>(lhs, rhs), args...);
+}
+
+BASE_NUMERIC_ARITHMETIC_OPERATORS(Clamped, Clamp, Add, +, +=)
+BASE_NUMERIC_ARITHMETIC_OPERATORS(Clamped, Clamp, Sub, -, -=)
+BASE_NUMERIC_ARITHMETIC_OPERATORS(Clamped, Clamp, Mul, *, *=)
+BASE_NUMERIC_ARITHMETIC_OPERATORS(Clamped, Clamp, Div, /, /=)
+BASE_NUMERIC_ARITHMETIC_OPERATORS(Clamped, Clamp, Mod, %, %=)
+BASE_NUMERIC_ARITHMETIC_OPERATORS(Clamped, Clamp, Lsh, <<, <<=)
+BASE_NUMERIC_ARITHMETIC_OPERATORS(Clamped, Clamp, Rsh, >>, >>=)
+BASE_NUMERIC_ARITHMETIC_OPERATORS(Clamped, Clamp, And, &, &=)
+BASE_NUMERIC_ARITHMETIC_OPERATORS(Clamped, Clamp, Or, |, |=)
+BASE_NUMERIC_ARITHMETIC_OPERATORS(Clamped, Clamp, Xor, ^, ^=)
+BASE_NUMERIC_ARITHMETIC_VARIADIC(Clamped, Clamp, Max)
+BASE_NUMERIC_ARITHMETIC_VARIADIC(Clamped, Clamp, Min)
+BASE_NUMERIC_COMPARISON_OPERATORS(Clamped, IsLess, <)
+BASE_NUMERIC_COMPARISON_OPERATORS(Clamped, IsLessOrEqual, <=)
+BASE_NUMERIC_COMPARISON_OPERATORS(Clamped, IsGreater, >)
+BASE_NUMERIC_COMPARISON_OPERATORS(Clamped, IsGreaterOrEqual, >=)
+BASE_NUMERIC_COMPARISON_OPERATORS(Clamped, IsEqual, ==)
+BASE_NUMERIC_COMPARISON_OPERATORS(Clamped, IsNotEqual, !=)
+
+} // namespace internal
+
+using internal::ClampAdd;
+using internal::ClampAnd;
+using internal::ClampDiv;
+using internal::ClampedNumeric;
+using internal::ClampLsh;
+using internal::ClampMax;
+using internal::ClampMin;
+using internal::ClampMod;
+using internal::ClampMul;
+using internal::ClampOr;
+using internal::ClampRsh;
+using internal::ClampSub;
+using internal::ClampXor;
+using internal::MakeClampedNum;
+
+} // namespace base
+} // namespace angle
+
+#endif // BASE_NUMERICS_CLAMPED_MATH_H_
diff --git a/gfx/angle/checkout/src/common/third_party/base/anglebase/numerics/clamped_math_impl.h b/gfx/angle/checkout/src/common/third_party/base/anglebase/numerics/clamped_math_impl.h
new file mode 100644
index 0000000000..198723eeaa
--- /dev/null
+++ b/gfx/angle/checkout/src/common/third_party/base/anglebase/numerics/clamped_math_impl.h
@@ -0,0 +1,368 @@
+// Copyright 2017 The Chromium Authors. All rights reserved.
+// Use of this source code is governed by a BSD-style license that can be
+// found in the LICENSE file.
+
+#ifndef BASE_NUMERICS_CLAMPED_MATH_IMPL_H_
+#define BASE_NUMERICS_CLAMPED_MATH_IMPL_H_
+
+#include <stddef.h>
+#include <stdint.h>
+
+#include <climits>
+#include <cmath>
+#include <cstdlib>
+#include <limits>
+#include <type_traits>
+
+#include "anglebase/numerics/checked_math.h"
+#include "anglebase/numerics/safe_conversions.h"
+#include "anglebase/numerics/safe_math_shared_impl.h"
+
+namespace angle
+{
+namespace base
+{
+namespace internal
+{
+
+template <typename T,
+ typename std::enable_if<std::is_integral<T>::value && std::is_signed<T>::value>::type * =
+ nullptr>
+constexpr T SaturatedNegWrapper(T value)
+{
+ return MustTreatAsConstexpr(value) || !ClampedNegFastOp<T>::is_supported
+ ? (NegateWrapper(value) != std::numeric_limits<T>::lowest()
+ ? NegateWrapper(value)
+ : std::numeric_limits<T>::max())
+ : ClampedNegFastOp<T>::Do(value);
+}
+
+template <typename T,
+ typename std::enable_if<std::is_integral<T>::value && !std::is_signed<T>::value>::type * =
+ nullptr>
+constexpr T SaturatedNegWrapper(T value)
+{
+ return T(0);
+}
+
+template <typename T, typename std::enable_if<std::is_floating_point<T>::value>::type * = nullptr>
+constexpr T SaturatedNegWrapper(T value)
+{
+ return -value;
+}
+
+template <typename T, typename std::enable_if<std::is_integral<T>::value>::type * = nullptr>
+constexpr T SaturatedAbsWrapper(T value)
+{
+ // The calculation below is a static identity for unsigned types, but for
+ // signed integer types it provides a non-branching, saturated absolute value.
+ // This works because SafeUnsignedAbs() returns an unsigned type, which can
+ // represent the absolute value of all negative numbers of an equal-width
+ // integer type. The call to IsValueNegative() then detects overflow in the
+ // special case of numeric_limits<T>::min(), by evaluating the bit pattern as
+ // a signed integer value. If it is the overflow case, we end up subtracting
+ // one from the unsigned result, thus saturating to numeric_limits<T>::max().
+ return static_cast<T>(SafeUnsignedAbs(value) - IsValueNegative<T>(SafeUnsignedAbs(value)));
+}
+
+template <typename T, typename std::enable_if<std::is_floating_point<T>::value>::type * = nullptr>
+constexpr T SaturatedAbsWrapper(T value)
+{
+ return value < 0 ? -value : value;
+}
+
+template <typename T, typename U, class Enable = void>
+struct ClampedAddOp
+{};
+
+template <typename T, typename U>
+struct ClampedAddOp<
+ T,
+ U,
+ typename std::enable_if<std::is_integral<T>::value && std::is_integral<U>::value>::type>
+{
+ using result_type = typename MaxExponentPromotion<T, U>::type;
+ template <typename V = result_type>
+ static constexpr V Do(T x, U y)
+ {
+ if (ClampedAddFastOp<T, U>::is_supported)
+ return ClampedAddFastOp<T, U>::template Do<V>(x, y);
+
+ static_assert(
+ std::is_same<V, result_type>::value || IsTypeInRangeForNumericType<U, V>::value,
+ "The saturation result cannot be determined from the "
+ "provided types.");
+ const V saturated = CommonMaxOrMin<V>(IsValueNegative(y));
+ V result = {};
+ return BASE_NUMERICS_LIKELY((CheckedAddOp<T, U>::Do(x, y, &result))) ? result : saturated;
+ }
+};
+
+template <typename T, typename U, class Enable = void>
+struct ClampedSubOp
+{};
+
+template <typename T, typename U>
+struct ClampedSubOp<
+ T,
+ U,
+ typename std::enable_if<std::is_integral<T>::value && std::is_integral<U>::value>::type>
+{
+ using result_type = typename MaxExponentPromotion<T, U>::type;
+ template <typename V = result_type>
+ static constexpr V Do(T x, U y)
+ {
+ if constexpr (ClampedSubFastOp<T, U>::is_supported)
+ return ClampedSubFastOp<T, U>::template Do<V>(x, y);
+
+ static_assert(
+ std::is_same<V, result_type>::value || IsTypeInRangeForNumericType<U, V>::value,
+ "The saturation result cannot be determined from the "
+ "provided types.");
+ const V saturated = CommonMaxOrMin<V>(!IsValueNegative(y));
+ V result = {};
+ return BASE_NUMERICS_LIKELY((CheckedSubOp<T, U>::Do(x, y, &result))) ? result : saturated;
+ }
+};
+
+template <typename T, typename U, class Enable = void>
+struct ClampedMulOp
+{};
+
+template <typename T, typename U>
+struct ClampedMulOp<
+ T,
+ U,
+ typename std::enable_if<std::is_integral<T>::value && std::is_integral<U>::value>::type>
+{
+ using result_type = typename MaxExponentPromotion<T, U>::type;
+ template <typename V = result_type>
+ static constexpr V Do(T x, U y)
+ {
+ if constexpr (ClampedMulFastOp<T, U>::is_supported)
+ return ClampedMulFastOp<T, U>::template Do<V>(x, y);
+
+ V result = {};
+ const V saturated = CommonMaxOrMin<V>(IsValueNegative(x) ^ IsValueNegative(y));
+ return BASE_NUMERICS_LIKELY((CheckedMulOp<T, U>::Do(x, y, &result))) ? result : saturated;
+ }
+};
+
+template <typename T, typename U, class Enable = void>
+struct ClampedDivOp
+{};
+
+template <typename T, typename U>
+struct ClampedDivOp<
+ T,
+ U,
+ typename std::enable_if<std::is_integral<T>::value && std::is_integral<U>::value>::type>
+{
+ using result_type = typename MaxExponentPromotion<T, U>::type;
+ template <typename V = result_type>
+ static constexpr V Do(T x, U y)
+ {
+ V result = {};
+ if (BASE_NUMERICS_LIKELY((CheckedDivOp<T, U>::Do(x, y, &result))))
+ return result;
+ // Saturation goes to max, min, or NaN (if x is zero).
+ return x ? CommonMaxOrMin<V>(IsValueNegative(x) ^ IsValueNegative(y))
+ : SaturationDefaultLimits<V>::NaN();
+ }
+};
+
+template <typename T, typename U, class Enable = void>
+struct ClampedModOp
+{};
+
+template <typename T, typename U>
+struct ClampedModOp<
+ T,
+ U,
+ typename std::enable_if<std::is_integral<T>::value && std::is_integral<U>::value>::type>
+{
+ using result_type = typename MaxExponentPromotion<T, U>::type;
+ template <typename V = result_type>
+ static constexpr V Do(T x, U y)
+ {
+ V result = {};
+ return BASE_NUMERICS_LIKELY((CheckedModOp<T, U>::Do(x, y, &result))) ? result : x;
+ }
+};
+
+template <typename T, typename U, class Enable = void>
+struct ClampedLshOp
+{};
+
+// Left shift. Non-zero values saturate in the direction of the sign. A zero
+// shifted by any value always results in zero.
+template <typename T, typename U>
+struct ClampedLshOp<
+ T,
+ U,
+ typename std::enable_if<std::is_integral<T>::value && std::is_integral<U>::value>::type>
+{
+ using result_type = T;
+ template <typename V = result_type>
+ static constexpr V Do(T x, U shift)
+ {
+ static_assert(!std::is_signed<U>::value, "Shift value must be unsigned.");
+ if (BASE_NUMERICS_LIKELY(shift < std::numeric_limits<T>::digits))
+ {
+ // Shift as unsigned to avoid undefined behavior.
+ V result = static_cast<V>(as_unsigned(x) << shift);
+ // If the shift can be reversed, we know it was valid.
+ if (BASE_NUMERICS_LIKELY(result >> shift == x))
+ return result;
+ }
+ return x ? CommonMaxOrMin<V>(IsValueNegative(x)) : 0;
+ }
+};
+
+template <typename T, typename U, class Enable = void>
+struct ClampedRshOp
+{};
+
+// Right shift. Negative values saturate to -1. Positive or 0 saturates to 0.
+template <typename T, typename U>
+struct ClampedRshOp<
+ T,
+ U,
+ typename std::enable_if<std::is_integral<T>::value && std::is_integral<U>::value>::type>
+{
+ using result_type = T;
+ template <typename V = result_type>
+ static constexpr V Do(T x, U shift)
+ {
+ static_assert(!std::is_signed<U>::value, "Shift value must be unsigned.");
+ // Signed right shift is odd, because it saturates to -1 or 0.
+ const V saturated = as_unsigned(V(0)) - IsValueNegative(x);
+ return BASE_NUMERICS_LIKELY(shift < IntegerBitsPlusSign<T>::value)
+ ? saturated_cast<V>(x >> shift)
+ : saturated;
+ }
+};
+
+template <typename T, typename U, class Enable = void>
+struct ClampedAndOp
+{};
+
+template <typename T, typename U>
+struct ClampedAndOp<
+ T,
+ U,
+ typename std::enable_if<std::is_integral<T>::value && std::is_integral<U>::value>::type>
+{
+ using result_type =
+ typename std::make_unsigned<typename MaxExponentPromotion<T, U>::type>::type;
+ template <typename V>
+ static constexpr V Do(T x, U y)
+ {
+ return static_cast<result_type>(x) & static_cast<result_type>(y);
+ }
+};
+
+template <typename T, typename U, class Enable = void>
+struct ClampedOrOp
+{};
+
+// For simplicity we promote to unsigned integers.
+template <typename T, typename U>
+struct ClampedOrOp<
+ T,
+ U,
+ typename std::enable_if<std::is_integral<T>::value && std::is_integral<U>::value>::type>
+{
+ using result_type =
+ typename std::make_unsigned<typename MaxExponentPromotion<T, U>::type>::type;
+ template <typename V>
+ static constexpr V Do(T x, U y)
+ {
+ return static_cast<result_type>(x) | static_cast<result_type>(y);
+ }
+};
+
+template <typename T, typename U, class Enable = void>
+struct ClampedXorOp
+{};
+
+// For simplicity we support only unsigned integers.
+template <typename T, typename U>
+struct ClampedXorOp<
+ T,
+ U,
+ typename std::enable_if<std::is_integral<T>::value && std::is_integral<U>::value>::type>
+{
+ using result_type =
+ typename std::make_unsigned<typename MaxExponentPromotion<T, U>::type>::type;
+ template <typename V>
+ static constexpr V Do(T x, U y)
+ {
+ return static_cast<result_type>(x) ^ static_cast<result_type>(y);
+ }
+};
+
+template <typename T, typename U, class Enable = void>
+struct ClampedMaxOp
+{};
+
+template <typename T, typename U>
+struct ClampedMaxOp<
+ T,
+ U,
+ typename std::enable_if<std::is_arithmetic<T>::value && std::is_arithmetic<U>::value>::type>
+{
+ using result_type = typename MaxExponentPromotion<T, U>::type;
+ template <typename V = result_type>
+ static constexpr V Do(T x, U y)
+ {
+ return IsGreater<T, U>::Test(x, y) ? saturated_cast<V>(x) : saturated_cast<V>(y);
+ }
+};
+
+template <typename T, typename U, class Enable = void>
+struct ClampedMinOp
+{};
+
+template <typename T, typename U>
+struct ClampedMinOp<
+ T,
+ U,
+ typename std::enable_if<std::is_arithmetic<T>::value && std::is_arithmetic<U>::value>::type>
+{
+ using result_type = typename LowestValuePromotion<T, U>::type;
+ template <typename V = result_type>
+ static constexpr V Do(T x, U y)
+ {
+ return IsLess<T, U>::Test(x, y) ? saturated_cast<V>(x) : saturated_cast<V>(y);
+ }
+};
+
+// This is just boilerplate that wraps the standard floating point arithmetic.
+// A macro isn't the nicest solution, but it beats rewriting these repeatedly.
+#define BASE_FLOAT_ARITHMETIC_OPS(NAME, OP) \
+ template <typename T, typename U> \
+ struct Clamped##NAME##Op<T, U, \
+ typename std::enable_if<std::is_floating_point<T>::value || \
+ std::is_floating_point<U>::value>::type> \
+ { \
+ using result_type = typename MaxExponentPromotion<T, U>::type; \
+ template <typename V = result_type> \
+ static constexpr V Do(T x, U y) \
+ { \
+ return saturated_cast<V>(x OP y); \
+ } \
+ };
+
+BASE_FLOAT_ARITHMETIC_OPS(Add, +)
+BASE_FLOAT_ARITHMETIC_OPS(Sub, -)
+BASE_FLOAT_ARITHMETIC_OPS(Mul, *)
+BASE_FLOAT_ARITHMETIC_OPS(Div, /)
+
+#undef BASE_FLOAT_ARITHMETIC_OPS
+
+} // namespace internal
+} // namespace base
+} // namespace angle
+
+#endif // BASE_NUMERICS_CLAMPED_MATH_IMPL_H_
diff --git a/gfx/angle/checkout/src/common/third_party/base/anglebase/numerics/math_constants.h b/gfx/angle/checkout/src/common/third_party/base/anglebase/numerics/math_constants.h
new file mode 100644
index 0000000000..385ce3970f
--- /dev/null
+++ b/gfx/angle/checkout/src/common/third_party/base/anglebase/numerics/math_constants.h
@@ -0,0 +1,20 @@
+// Copyright 2017 The Chromium Authors. All rights reserved.
+// Use of this source code is governed by a BSD-style license that can be
+// found in the LICENSE file.
+
+#ifndef BASE_NUMERICS_MATH_CONSTANTS_H_
+#define BASE_NUMERICS_MATH_CONSTANTS_H_
+
+namespace base
+{
+
+constexpr double kPiDouble = 3.14159265358979323846;
+constexpr float kPiFloat = 3.14159265358979323846f;
+
+// The mean acceleration due to gravity on Earth in m/s^2.
+constexpr double kMeanGravityDouble = 9.80665;
+constexpr float kMeanGravityFloat = 9.80665f;
+
+} // namespace base
+
+#endif // BASE_NUMERICS_MATH_CONSTANTS_H_
diff --git a/gfx/angle/checkout/src/common/third_party/base/anglebase/numerics/ranges.h b/gfx/angle/checkout/src/common/third_party/base/anglebase/numerics/ranges.h
new file mode 100644
index 0000000000..55a5a295af
--- /dev/null
+++ b/gfx/angle/checkout/src/common/third_party/base/anglebase/numerics/ranges.h
@@ -0,0 +1,39 @@
+// Copyright 2017 The Chromium Authors. All rights reserved.
+// Use of this source code is governed by a BSD-style license that can be
+// found in the LICENSE file.
+
+#ifndef BASE_NUMERICS_RANGES_H_
+#define BASE_NUMERICS_RANGES_H_
+
+#include <algorithm>
+#include <cmath>
+
+namespace base
+{
+
+// DO NOT USE THIS FUNCTION. IT IS DUE TO BE REMOVED. https://crbug.com/1231569
+// Please use base::clamp() from base/cxx17_backports.h instead.
+//
+// This function, unlike base::clamp(), does not check if `min` is greater than
+// `max`, and returns a bogus answer if it is. Please migrate all code that
+// calls this function to use base::clamp() instead.
+//
+// If, for some reason the broken behavior is required, please re-create this
+// min/max nesting inline in the host code and explain with a comment why it
+// is needed.
+template <class T>
+constexpr const T &BrokenClampThatShouldNotBeUsed(const T &value, const T &min, const T &max)
+{
+ return std::min(std::max(value, min), max);
+}
+
+template <typename T>
+constexpr bool IsApproximatelyEqual(T lhs, T rhs, T tolerance)
+{
+ static_assert(std::is_arithmetic<T>::value, "Argument must be arithmetic");
+ return std::abs(rhs - lhs) <= tolerance;
+}
+
+} // namespace base
+
+#endif // BASE_NUMERICS_RANGES_H_
diff --git a/gfx/angle/checkout/src/common/third_party/base/anglebase/numerics/safe_conversions.h b/gfx/angle/checkout/src/common/third_party/base/anglebase/numerics/safe_conversions.h
new file mode 100644
index 0000000000..3aa80c7ed0
--- /dev/null
+++ b/gfx/angle/checkout/src/common/third_party/base/anglebase/numerics/safe_conversions.h
@@ -0,0 +1,403 @@
+// Copyright 2014 The Chromium Authors. All rights reserved.
+// Use of this source code is governed by a BSD-style license that can be
+// found in the LICENSE file.
+
+#ifndef BASE_NUMERICS_SAFE_CONVERSIONS_H_
+#define BASE_NUMERICS_SAFE_CONVERSIONS_H_
+
+#include <stddef.h>
+
+#include <cmath>
+#include <limits>
+#include <type_traits>
+
+#include "anglebase/numerics/safe_conversions_impl.h"
+
+#if defined(__ARMEL__) && !defined(__native_client__)
+# include "anglebase/numerics/safe_conversions_arm_impl.h"
+# define BASE_HAS_OPTIMIZED_SAFE_CONVERSIONS (1)
+#else
+# define BASE_HAS_OPTIMIZED_SAFE_CONVERSIONS (0)
+#endif
+
+#if !BASE_NUMERICS_DISABLE_OSTREAM_OPERATORS
+# include <ostream>
+#endif
+
+namespace angle
+{
+namespace base
+{
+namespace internal
+{
+
+#if !BASE_HAS_OPTIMIZED_SAFE_CONVERSIONS
+template <typename Dst, typename Src>
+struct SaturateFastAsmOp
+{
+ static constexpr bool is_supported = false;
+ static constexpr Dst Do(Src)
+ {
+ // Force a compile failure if instantiated.
+ return CheckOnFailure::template HandleFailure<Dst>();
+ }
+};
+#endif // BASE_HAS_OPTIMIZED_SAFE_CONVERSIONS
+#undef BASE_HAS_OPTIMIZED_SAFE_CONVERSIONS
+
+// The following special case a few specific integer conversions where we can
+// eke out better performance than range checking.
+template <typename Dst, typename Src, typename Enable = void>
+struct IsValueInRangeFastOp
+{
+ static constexpr bool is_supported = false;
+ static constexpr bool Do(Src value)
+ {
+ // Force a compile failure if instantiated.
+ return CheckOnFailure::template HandleFailure<bool>();
+ }
+};
+
+// Signed to signed range comparison.
+template <typename Dst, typename Src>
+struct IsValueInRangeFastOp<
+ Dst,
+ Src,
+ typename std::enable_if<std::is_integral<Dst>::value && std::is_integral<Src>::value &&
+ std::is_signed<Dst>::value && std::is_signed<Src>::value &&
+ !IsTypeInRangeForNumericType<Dst, Src>::value>::type>
+{
+ static constexpr bool is_supported = true;
+
+ static constexpr bool Do(Src value)
+ {
+ // Just downcast to the smaller type, sign extend it back to the original
+ // type, and then see if it matches the original value.
+ return value == static_cast<Dst>(value);
+ }
+};
+
+// Signed to unsigned range comparison.
+template <typename Dst, typename Src>
+struct IsValueInRangeFastOp<
+ Dst,
+ Src,
+ typename std::enable_if<std::is_integral<Dst>::value && std::is_integral<Src>::value &&
+ !std::is_signed<Dst>::value && std::is_signed<Src>::value &&
+ !IsTypeInRangeForNumericType<Dst, Src>::value>::type>
+{
+ static constexpr bool is_supported = true;
+
+ static constexpr bool Do(Src value)
+ {
+ // We cast a signed as unsigned to overflow negative values to the top,
+ // then compare against whichever maximum is smaller, as our upper bound.
+ return as_unsigned(value) <= as_unsigned(CommonMax<Src, Dst>());
+ }
+};
+
+// Convenience function that returns true if the supplied value is in range
+// for the destination type.
+template <typename Dst, typename Src>
+constexpr bool IsValueInRangeForNumericType(Src value)
+{
+ using SrcType = typename internal::UnderlyingType<Src>::type;
+ return internal::IsValueInRangeFastOp<Dst, SrcType>::is_supported
+ ? internal::IsValueInRangeFastOp<Dst, SrcType>::Do(static_cast<SrcType>(value))
+ : internal::DstRangeRelationToSrcRange<Dst>(static_cast<SrcType>(value)).IsValid();
+}
+
+// checked_cast<> is analogous to static_cast<> for numeric types,
+// except that it CHECKs that the specified numeric conversion will not
+// overflow or underflow. NaN source will always trigger a CHECK.
+template <typename Dst, class CheckHandler = internal::CheckOnFailure, typename Src>
+constexpr Dst checked_cast(Src value)
+{
+ // This throws a compile-time error on evaluating the constexpr if it can be
+ // determined at compile-time as failing, otherwise it will CHECK at runtime.
+ using SrcType = typename internal::UnderlyingType<Src>::type;
+ return BASE_NUMERICS_LIKELY((IsValueInRangeForNumericType<Dst>(value)))
+ ? static_cast<Dst>(static_cast<SrcType>(value))
+ : CheckHandler::template HandleFailure<Dst>();
+}
+
+// Default boundaries for integral/float: max/infinity, lowest/-infinity, 0/NaN.
+// You may provide your own limits (e.g. to saturated_cast) so long as you
+// implement all of the static constexpr member functions in the class below.
+template <typename T>
+struct SaturationDefaultLimits : public std::numeric_limits<T>
+{
+ static constexpr T NaN()
+ {
+ return std::numeric_limits<T>::has_quiet_NaN ? std::numeric_limits<T>::quiet_NaN() : T();
+ }
+ using std::numeric_limits<T>::max;
+ static constexpr T Overflow()
+ {
+ return std::numeric_limits<T>::has_infinity ? std::numeric_limits<T>::infinity()
+ : std::numeric_limits<T>::max();
+ }
+ using std::numeric_limits<T>::lowest;
+ static constexpr T Underflow()
+ {
+ return std::numeric_limits<T>::has_infinity ? std::numeric_limits<T>::infinity() * -1
+ : std::numeric_limits<T>::lowest();
+ }
+};
+
+template <typename Dst, template <typename> class S, typename Src>
+constexpr Dst saturated_cast_impl(Src value, RangeCheck constraint)
+{
+ // For some reason clang generates much better code when the branch is
+ // structured exactly this way, rather than a sequence of checks.
+ return !constraint.IsOverflowFlagSet()
+ ? (!constraint.IsUnderflowFlagSet() ? static_cast<Dst>(value) : S<Dst>::Underflow())
+ // Skip this check for integral Src, which cannot be NaN.
+ : (std::is_integral<Src>::value || !constraint.IsUnderflowFlagSet()
+ ? S<Dst>::Overflow()
+ : S<Dst>::NaN());
+}
+
+// We can reduce the number of conditions and get slightly better performance
+// for normal signed and unsigned integer ranges. And in the specific case of
+// Arm, we can use the optimized saturation instructions.
+template <typename Dst, typename Src, typename Enable = void>
+struct SaturateFastOp
+{
+ static constexpr bool is_supported = false;
+ static constexpr Dst Do(Src value)
+ {
+ // Force a compile failure if instantiated.
+ return CheckOnFailure::template HandleFailure<Dst>();
+ }
+};
+
+template <typename Dst, typename Src>
+struct SaturateFastOp<
+ Dst,
+ Src,
+ typename std::enable_if<std::is_integral<Src>::value && std::is_integral<Dst>::value &&
+ SaturateFastAsmOp<Dst, Src>::is_supported>::type>
+{
+ static constexpr bool is_supported = true;
+ static constexpr Dst Do(Src value) { return SaturateFastAsmOp<Dst, Src>::Do(value); }
+};
+
+template <typename Dst, typename Src>
+struct SaturateFastOp<
+ Dst,
+ Src,
+ typename std::enable_if<std::is_integral<Src>::value && std::is_integral<Dst>::value &&
+ !SaturateFastAsmOp<Dst, Src>::is_supported>::type>
+{
+ static constexpr bool is_supported = true;
+ static constexpr Dst Do(Src value)
+ {
+ // The exact order of the following is structured to hit the correct
+ // optimization heuristics across compilers. Do not change without
+ // checking the emitted code.
+ const Dst saturated = CommonMaxOrMin<Dst, Src>(
+ IsMaxInRangeForNumericType<Dst, Src>() ||
+ (!IsMinInRangeForNumericType<Dst, Src>() && IsValueNegative(value)));
+ return BASE_NUMERICS_LIKELY(IsValueInRangeForNumericType<Dst>(value))
+ ? static_cast<Dst>(value)
+ : saturated;
+ }
+};
+
+// saturated_cast<> is analogous to static_cast<> for numeric types, except
+// that the specified numeric conversion will saturate by default rather than
+// overflow or underflow, and NaN assignment to an integral will return 0.
+// All boundary condition behaviors can be overriden with a custom handler.
+template <typename Dst,
+ template <typename> class SaturationHandler = SaturationDefaultLimits,
+ typename Src>
+constexpr Dst saturated_cast(Src value)
+{
+ using SrcType = typename UnderlyingType<Src>::type;
+ return !IsCompileTimeConstant(value) && SaturateFastOp<Dst, SrcType>::is_supported &&
+ std::is_same<SaturationHandler<Dst>, SaturationDefaultLimits<Dst>>::value
+ ? SaturateFastOp<Dst, SrcType>::Do(static_cast<SrcType>(value))
+ : saturated_cast_impl<Dst, SaturationHandler, SrcType>(
+ static_cast<SrcType>(value),
+ DstRangeRelationToSrcRange<Dst, SaturationHandler, SrcType>(
+ static_cast<SrcType>(value)));
+}
+
+// strict_cast<> is analogous to static_cast<> for numeric types, except that
+// it will cause a compile failure if the destination type is not large enough
+// to contain any value in the source type. It performs no runtime checking.
+template <typename Dst, typename Src>
+constexpr Dst strict_cast(Src value)
+{
+ using SrcType = typename UnderlyingType<Src>::type;
+ static_assert(UnderlyingType<Src>::is_numeric, "Argument must be numeric.");
+ static_assert(std::is_arithmetic<Dst>::value, "Result must be numeric.");
+
+ // If you got here from a compiler error, it's because you tried to assign
+ // from a source type to a destination type that has insufficient range.
+ // The solution may be to change the destination type you're assigning to,
+ // and use one large enough to represent the source.
+ // Alternatively, you may be better served with the checked_cast<> or
+ // saturated_cast<> template functions for your particular use case.
+ static_assert(StaticDstRangeRelationToSrcRange<Dst, SrcType>::value == NUMERIC_RANGE_CONTAINED,
+ "The source type is out of range for the destination type. "
+ "Please see strict_cast<> comments for more information.");
+
+ return static_cast<Dst>(static_cast<SrcType>(value));
+}
+
+// Some wrappers to statically check that a type is in range.
+template <typename Dst, typename Src, class Enable = void>
+struct IsNumericRangeContained
+{
+ static constexpr bool value = false;
+};
+
+template <typename Dst, typename Src>
+struct IsNumericRangeContained<
+ Dst,
+ Src,
+ typename std::enable_if<ArithmeticOrUnderlyingEnum<Dst>::value &&
+ ArithmeticOrUnderlyingEnum<Src>::value>::type>
+{
+ static constexpr bool value =
+ StaticDstRangeRelationToSrcRange<Dst, Src>::value == NUMERIC_RANGE_CONTAINED;
+};
+
+// StrictNumeric implements compile time range checking between numeric types by
+// wrapping assignment operations in a strict_cast. This class is intended to be
+// used for function arguments and return types, to ensure the destination type
+// can always contain the source type. This is essentially the same as enforcing
+// -Wconversion in gcc and C4302 warnings on MSVC, but it can be applied
+// incrementally at API boundaries, making it easier to convert code so that it
+// compiles cleanly with truncation warnings enabled.
+// This template should introduce no runtime overhead, but it also provides no
+// runtime checking of any of the associated mathematical operations. Use
+// CheckedNumeric for runtime range checks of the actual value being assigned.
+template <typename T>
+class StrictNumeric
+{
+ public:
+ using type = T;
+
+ constexpr StrictNumeric() : value_(0) {}
+
+ // Copy constructor.
+ template <typename Src>
+ constexpr StrictNumeric(const StrictNumeric<Src> &rhs) : value_(strict_cast<T>(rhs.value_))
+ {}
+
+ // This is not an explicit constructor because we implicitly upgrade regular
+ // numerics to StrictNumerics to make them easier to use.
+ template <typename Src>
+ constexpr StrictNumeric(Src value) // NOLINT(runtime/explicit)
+ : value_(strict_cast<T>(value))
+ {}
+
+ // If you got here from a compiler error, it's because you tried to assign
+ // from a source type to a destination type that has insufficient range.
+ // The solution may be to change the destination type you're assigning to,
+ // and use one large enough to represent the source.
+ // If you're assigning from a CheckedNumeric<> class, you may be able to use
+ // the AssignIfValid() member function, specify a narrower destination type to
+ // the member value functions (e.g. val.template ValueOrDie<Dst>()), use one
+ // of the value helper functions (e.g. ValueOrDieForType<Dst>(val)).
+ // If you've encountered an _ambiguous overload_ you can use a static_cast<>
+ // to explicitly cast the result to the destination type.
+ // If none of that works, you may be better served with the checked_cast<> or
+ // saturated_cast<> template functions for your particular use case.
+ template <typename Dst,
+ typename std::enable_if<IsNumericRangeContained<Dst, T>::value>::type * = nullptr>
+ constexpr operator Dst() const
+ {
+ return static_cast<typename ArithmeticOrUnderlyingEnum<Dst>::type>(value_);
+ }
+
+ private:
+ const T value_;
+};
+
+// Convience wrapper returns a StrictNumeric from the provided arithmetic type.
+template <typename T>
+constexpr StrictNumeric<typename UnderlyingType<T>::type> MakeStrictNum(const T value)
+{
+ return value;
+}
+
+#if !BASE_NUMERICS_DISABLE_OSTREAM_OPERATORS
+// Overload the ostream output operator to make logging work nicely.
+template <typename T>
+std::ostream &operator<<(std::ostream &os, const StrictNumeric<T> &value)
+{
+ os << static_cast<T>(value);
+ return os;
+}
+#endif
+
+#define BASE_NUMERIC_COMPARISON_OPERATORS(CLASS, NAME, OP) \
+ template <typename L, typename R, \
+ typename std::enable_if<internal::Is##CLASS##Op<L, R>::value>::type * = nullptr> \
+ constexpr bool operator OP(const L lhs, const R rhs) \
+ { \
+ return SafeCompare<NAME, typename UnderlyingType<L>::type, \
+ typename UnderlyingType<R>::type>(lhs, rhs); \
+ }
+
+BASE_NUMERIC_COMPARISON_OPERATORS(Strict, IsLess, <)
+BASE_NUMERIC_COMPARISON_OPERATORS(Strict, IsLessOrEqual, <=)
+BASE_NUMERIC_COMPARISON_OPERATORS(Strict, IsGreater, >)
+BASE_NUMERIC_COMPARISON_OPERATORS(Strict, IsGreaterOrEqual, >=)
+BASE_NUMERIC_COMPARISON_OPERATORS(Strict, IsEqual, ==)
+BASE_NUMERIC_COMPARISON_OPERATORS(Strict, IsNotEqual, !=)
+
+} // namespace internal
+
+using internal::as_signed;
+using internal::as_unsigned;
+using internal::checked_cast;
+using internal::IsTypeInRangeForNumericType;
+using internal::IsValueInRangeForNumericType;
+using internal::IsValueNegative;
+using internal::MakeStrictNum;
+using internal::SafeUnsignedAbs;
+using internal::saturated_cast;
+using internal::strict_cast;
+using internal::StrictNumeric;
+
+// Explicitly make a shorter size_t alias for convenience.
+using SizeT = StrictNumeric<size_t>;
+
+// floating -> integral conversions that saturate and thus can actually return
+// an integral type. In most cases, these should be preferred over the std::
+// versions.
+template <
+ typename Dst = int,
+ typename Src,
+ typename = std::enable_if_t<std::is_integral<Dst>::value && std::is_floating_point<Src>::value>>
+Dst ClampFloor(Src value)
+{
+ return saturated_cast<Dst>(std::floor(value));
+}
+template <
+ typename Dst = int,
+ typename Src,
+ typename = std::enable_if_t<std::is_integral<Dst>::value && std::is_floating_point<Src>::value>>
+Dst ClampCeil(Src value)
+{
+ return saturated_cast<Dst>(std::ceil(value));
+}
+template <
+ typename Dst = int,
+ typename Src,
+ typename = std::enable_if_t<std::is_integral<Dst>::value && std::is_floating_point<Src>::value>>
+Dst ClampRound(Src value)
+{
+ const Src rounded = (value >= 0.0f) ? std::floor(value + 0.5f) : std::ceil(value - 0.5f);
+ return saturated_cast<Dst>(rounded);
+}
+
+} // namespace base
+} // namespace angle
+
+#endif // BASE_NUMERICS_SAFE_CONVERSIONS_H_
diff --git a/gfx/angle/checkout/src/common/third_party/base/anglebase/numerics/safe_conversions_arm_impl.h b/gfx/angle/checkout/src/common/third_party/base/anglebase/numerics/safe_conversions_arm_impl.h
new file mode 100644
index 0000000000..74e5bcc0c6
--- /dev/null
+++ b/gfx/angle/checkout/src/common/third_party/base/anglebase/numerics/safe_conversions_arm_impl.h
@@ -0,0 +1,60 @@
+// Copyright 2017 The Chromium Authors. All rights reserved.
+// Use of this source code is governed by a BSD-style license that can be
+// found in the LICENSE file.
+
+#ifndef BASE_NUMERICS_SAFE_CONVERSIONS_ARM_IMPL_H_
+#define BASE_NUMERICS_SAFE_CONVERSIONS_ARM_IMPL_H_
+
+#include <cassert>
+#include <limits>
+#include <type_traits>
+
+#include "anglebase/numerics/safe_conversions_impl.h"
+
+namespace angle
+{
+namespace base
+{
+namespace internal
+{
+
+// Fast saturation to a destination type.
+template <typename Dst, typename Src>
+struct SaturateFastAsmOp
+{
+ static constexpr bool is_supported =
+ std::is_signed<Src>::value && std::is_integral<Dst>::value &&
+ std::is_integral<Src>::value &&
+ IntegerBitsPlusSign<Src>::value <= IntegerBitsPlusSign<int32_t>::value &&
+ IntegerBitsPlusSign<Dst>::value <= IntegerBitsPlusSign<int32_t>::value &&
+ !IsTypeInRangeForNumericType<Dst, Src>::value;
+
+ __attribute__((always_inline)) static Dst Do(Src value)
+ {
+ int32_t src = value;
+ typename std::conditional<std::is_signed<Dst>::value, int32_t, uint32_t>::type result;
+ if (std::is_signed<Dst>::value)
+ {
+ asm("ssat %[dst], %[shift], %[src]"
+ : [dst] "=r"(result)
+ : [src] "r"(src), [shift] "n"(IntegerBitsPlusSign<Dst>::value <= 32
+ ? IntegerBitsPlusSign<Dst>::value
+ : 32));
+ }
+ else
+ {
+ asm("usat %[dst], %[shift], %[src]"
+ : [dst] "=r"(result)
+ : [src] "r"(src), [shift] "n"(IntegerBitsPlusSign<Dst>::value < 32
+ ? IntegerBitsPlusSign<Dst>::value
+ : 31));
+ }
+ return static_cast<Dst>(result);
+ }
+};
+
+} // namespace internal
+} // namespace base
+} // namespace angle
+
+#endif // BASE_NUMERICS_SAFE_CONVERSIONS_ARM_IMPL_H_
diff --git a/gfx/angle/checkout/src/common/third_party/base/anglebase/numerics/safe_conversions_impl.h b/gfx/angle/checkout/src/common/third_party/base/anglebase/numerics/safe_conversions_impl.h
new file mode 100644
index 0000000000..7d0f031754
--- /dev/null
+++ b/gfx/angle/checkout/src/common/third_party/base/anglebase/numerics/safe_conversions_impl.h
@@ -0,0 +1,893 @@
+// Copyright 2014 The Chromium Authors. All rights reserved.
+// Use of this source code is governed by a BSD-style license that can be
+// found in the LICENSE file.
+
+#ifndef BASE_NUMERICS_SAFE_CONVERSIONS_IMPL_H_
+#define BASE_NUMERICS_SAFE_CONVERSIONS_IMPL_H_
+
+#include <stdint.h>
+
+#include <limits>
+#include <type_traits>
+
+#if defined(__GNUC__) || defined(__clang__)
+# define BASE_NUMERICS_LIKELY(x) __builtin_expect(!!(x), 1)
+# define BASE_NUMERICS_UNLIKELY(x) __builtin_expect(!!(x), 0)
+#else
+# define BASE_NUMERICS_LIKELY(x) (x)
+# define BASE_NUMERICS_UNLIKELY(x) (x)
+#endif
+
+namespace angle
+{
+namespace base
+{
+namespace internal
+{
+
+// The std library doesn't provide a binary max_exponent for integers, however
+// we can compute an analog using std::numeric_limits<>::digits.
+template <typename NumericType>
+struct MaxExponent
+{
+ static const int value = std::is_floating_point<NumericType>::value
+ ? std::numeric_limits<NumericType>::max_exponent
+ : std::numeric_limits<NumericType>::digits + 1;
+};
+
+// The number of bits (including the sign) in an integer. Eliminates sizeof
+// hacks.
+template <typename NumericType>
+struct IntegerBitsPlusSign
+{
+ static const int value =
+ std::numeric_limits<NumericType>::digits + std::is_signed<NumericType>::value;
+};
+
+// Helper templates for integer manipulations.
+
+template <typename Integer>
+struct PositionOfSignBit
+{
+ static const size_t value = IntegerBitsPlusSign<Integer>::value - 1;
+};
+
+// Determines if a numeric value is negative without throwing compiler
+// warnings on: unsigned(value) < 0.
+template <typename T, typename std::enable_if<std::is_signed<T>::value>::type * = nullptr>
+constexpr bool IsValueNegative(T value)
+{
+ static_assert(std::is_arithmetic<T>::value, "Argument must be numeric.");
+ return value < 0;
+}
+
+template <typename T, typename std::enable_if<!std::is_signed<T>::value>::type * = nullptr>
+constexpr bool IsValueNegative(T)
+{
+ static_assert(std::is_arithmetic<T>::value, "Argument must be numeric.");
+ return false;
+}
+
+// This performs a fast negation, returning a signed value. It works on unsigned
+// arguments, but probably doesn't do what you want for any unsigned value
+// larger than max / 2 + 1 (i.e. signed min cast to unsigned).
+template <typename T>
+constexpr typename std::make_signed<T>::type ConditionalNegate(T x, bool is_negative)
+{
+ static_assert(std::is_integral<T>::value, "Type must be integral");
+ using SignedT = typename std::make_signed<T>::type;
+ using UnsignedT = typename std::make_unsigned<T>::type;
+ return static_cast<SignedT>((static_cast<UnsignedT>(x) ^ -SignedT(is_negative)) + is_negative);
+}
+
+// This performs a safe, absolute value via unsigned overflow.
+template <typename T>
+constexpr typename std::make_unsigned<T>::type SafeUnsignedAbs(T value)
+{
+ static_assert(std::is_integral<T>::value, "Type must be integral");
+ using UnsignedT = typename std::make_unsigned<T>::type;
+ return IsValueNegative(value) ? static_cast<UnsignedT>(0u - static_cast<UnsignedT>(value))
+ : static_cast<UnsignedT>(value);
+}
+
+// This allows us to switch paths on known compile-time constants.
+#if defined(__clang__) || defined(__GNUC__)
+constexpr bool CanDetectCompileTimeConstant()
+{
+ return true;
+}
+template <typename T>
+constexpr bool IsCompileTimeConstant(const T v)
+{
+ return __builtin_constant_p(v);
+}
+#else
+constexpr bool CanDetectCompileTimeConstant()
+{
+ return false;
+}
+template <typename T>
+constexpr bool IsCompileTimeConstant(const T)
+{
+ return false;
+}
+#endif
+template <typename T>
+constexpr bool MustTreatAsConstexpr(const T v)
+{
+ // Either we can't detect a compile-time constant, and must always use the
+ // constexpr path, or we know we have a compile-time constant.
+ return !CanDetectCompileTimeConstant() || IsCompileTimeConstant(v);
+}
+
+// Forces a crash, like a CHECK(false). Used for numeric boundary errors.
+// Also used in a constexpr template to trigger a compilation failure on
+// an error condition.
+struct CheckOnFailure
+{
+ template <typename T>
+ static T HandleFailure()
+ {
+#if defined(_MSC_VER)
+ __debugbreak();
+#elif defined(__GNUC__) || defined(__clang__)
+ __builtin_trap();
+#else
+ ((void)(*(volatile char *)0 = 0));
+#endif
+ return T();
+ }
+};
+
+enum IntegerRepresentation
+{
+ INTEGER_REPRESENTATION_UNSIGNED,
+ INTEGER_REPRESENTATION_SIGNED
+};
+
+// A range for a given nunmeric Src type is contained for a given numeric Dst
+// type if both numeric_limits<Src>::max() <= numeric_limits<Dst>::max() and
+// numeric_limits<Src>::lowest() >= numeric_limits<Dst>::lowest() are true.
+// We implement this as template specializations rather than simple static
+// comparisons to ensure type correctness in our comparisons.
+enum NumericRangeRepresentation
+{
+ NUMERIC_RANGE_NOT_CONTAINED,
+ NUMERIC_RANGE_CONTAINED
+};
+
+// Helper templates to statically determine if our destination type can contain
+// maximum and minimum values represented by the source type.
+
+template <
+ typename Dst,
+ typename Src,
+ IntegerRepresentation DstSign = std::is_signed<Dst>::value ? INTEGER_REPRESENTATION_SIGNED
+ : INTEGER_REPRESENTATION_UNSIGNED,
+ IntegerRepresentation SrcSign = std::is_signed<Src>::value ? INTEGER_REPRESENTATION_SIGNED
+ : INTEGER_REPRESENTATION_UNSIGNED>
+struct StaticDstRangeRelationToSrcRange;
+
+// Same sign: Dst is guaranteed to contain Src only if its range is equal or
+// larger.
+template <typename Dst, typename Src, IntegerRepresentation Sign>
+struct StaticDstRangeRelationToSrcRange<Dst, Src, Sign, Sign>
+{
+ static const NumericRangeRepresentation value =
+ MaxExponent<Dst>::value >= MaxExponent<Src>::value ? NUMERIC_RANGE_CONTAINED
+ : NUMERIC_RANGE_NOT_CONTAINED;
+};
+
+// Unsigned to signed: Dst is guaranteed to contain source only if its range is
+// larger.
+template <typename Dst, typename Src>
+struct StaticDstRangeRelationToSrcRange<Dst,
+ Src,
+ INTEGER_REPRESENTATION_SIGNED,
+ INTEGER_REPRESENTATION_UNSIGNED>
+{
+ static const NumericRangeRepresentation value =
+ MaxExponent<Dst>::value > MaxExponent<Src>::value ? NUMERIC_RANGE_CONTAINED
+ : NUMERIC_RANGE_NOT_CONTAINED;
+};
+
+// Signed to unsigned: Dst cannot be statically determined to contain Src.
+template <typename Dst, typename Src>
+struct StaticDstRangeRelationToSrcRange<Dst,
+ Src,
+ INTEGER_REPRESENTATION_UNSIGNED,
+ INTEGER_REPRESENTATION_SIGNED>
+{
+ static const NumericRangeRepresentation value = NUMERIC_RANGE_NOT_CONTAINED;
+};
+
+// This class wraps the range constraints as separate booleans so the compiler
+// can identify constants and eliminate unused code paths.
+class RangeCheck
+{
+ public:
+ constexpr RangeCheck(bool is_in_lower_bound, bool is_in_upper_bound)
+ : is_underflow_(!is_in_lower_bound), is_overflow_(!is_in_upper_bound)
+ {}
+ constexpr RangeCheck() : is_underflow_(0), is_overflow_(0) {}
+ constexpr bool IsValid() const { return !is_overflow_ && !is_underflow_; }
+ constexpr bool IsInvalid() const { return is_overflow_ && is_underflow_; }
+ constexpr bool IsOverflow() const { return is_overflow_ && !is_underflow_; }
+ constexpr bool IsUnderflow() const { return !is_overflow_ && is_underflow_; }
+ constexpr bool IsOverflowFlagSet() const { return is_overflow_; }
+ constexpr bool IsUnderflowFlagSet() const { return is_underflow_; }
+ constexpr bool operator==(const RangeCheck rhs) const
+ {
+ return is_underflow_ == rhs.is_underflow_ && is_overflow_ == rhs.is_overflow_;
+ }
+ constexpr bool operator!=(const RangeCheck rhs) const { return !(*this == rhs); }
+
+ private:
+ // Do not change the order of these member variables. The integral conversion
+ // optimization depends on this exact order.
+ const bool is_underflow_;
+ const bool is_overflow_;
+};
+
+// The following helper template addresses a corner case in range checks for
+// conversion from a floating-point type to an integral type of smaller range
+// but larger precision (e.g. float -> unsigned). The problem is as follows:
+// 1. Integral maximum is always one less than a power of two, so it must be
+// truncated to fit the mantissa of the floating point. The direction of
+// rounding is implementation defined, but by default it's always IEEE
+// floats, which round to nearest and thus result in a value of larger
+// magnitude than the integral value.
+// Example: float f = UINT_MAX; // f is 4294967296f but UINT_MAX
+// // is 4294967295u.
+// 2. If the floating point value is equal to the promoted integral maximum
+// value, a range check will erroneously pass.
+// Example: (4294967296f <= 4294967295u) // This is true due to a precision
+// // loss in rounding up to float.
+// 3. When the floating point value is then converted to an integral, the
+// resulting value is out of range for the target integral type and
+// thus is implementation defined.
+// Example: unsigned u = (float)INT_MAX; // u will typically overflow to 0.
+// To fix this bug we manually truncate the maximum value when the destination
+// type is an integral of larger precision than the source floating-point type,
+// such that the resulting maximum is represented exactly as a floating point.
+template <typename Dst, typename Src, template <typename> class Bounds>
+struct NarrowingRange
+{
+ using SrcLimits = std::numeric_limits<Src>;
+ using DstLimits = typename std::numeric_limits<Dst>;
+
+ // Computes the mask required to make an accurate comparison between types.
+ static const int kShift =
+ (MaxExponent<Src>::value > MaxExponent<Dst>::value && SrcLimits::digits < DstLimits::digits)
+ ? (DstLimits::digits - SrcLimits::digits)
+ : 0;
+ template <typename T, typename std::enable_if<std::is_integral<T>::value>::type * = nullptr>
+
+ // Masks out the integer bits that are beyond the precision of the
+ // intermediate type used for comparison.
+ static constexpr T Adjust(T value)
+ {
+ static_assert(std::is_same<T, Dst>::value, "");
+ static_assert(kShift < DstLimits::digits, "");
+ return static_cast<T>(ConditionalNegate(SafeUnsignedAbs(value) & ~((T(1) << kShift) - T(1)),
+ IsValueNegative(value)));
+ }
+
+ template <typename T,
+ typename std::enable_if<std::is_floating_point<T>::value>::type * = nullptr>
+ static constexpr T Adjust(T value)
+ {
+ static_assert(std::is_same<T, Dst>::value, "");
+ static_assert(kShift == 0, "");
+ return value;
+ }
+
+ static constexpr Dst max() { return Adjust(Bounds<Dst>::max()); }
+ static constexpr Dst lowest() { return Adjust(Bounds<Dst>::lowest()); }
+};
+
+template <
+ typename Dst,
+ typename Src,
+ template <typename>
+ class Bounds,
+ IntegerRepresentation DstSign = std::is_signed<Dst>::value ? INTEGER_REPRESENTATION_SIGNED
+ : INTEGER_REPRESENTATION_UNSIGNED,
+ IntegerRepresentation SrcSign = std::is_signed<Src>::value ? INTEGER_REPRESENTATION_SIGNED
+ : INTEGER_REPRESENTATION_UNSIGNED,
+ NumericRangeRepresentation DstRange = StaticDstRangeRelationToSrcRange<Dst, Src>::value>
+struct DstRangeRelationToSrcRangeImpl;
+
+// The following templates are for ranges that must be verified at runtime. We
+// split it into checks based on signedness to avoid confusing casts and
+// compiler warnings on signed an unsigned comparisons.
+
+// Same sign narrowing: The range is contained for normal limits.
+template <typename Dst,
+ typename Src,
+ template <typename>
+ class Bounds,
+ IntegerRepresentation DstSign,
+ IntegerRepresentation SrcSign>
+struct DstRangeRelationToSrcRangeImpl<Dst, Src, Bounds, DstSign, SrcSign, NUMERIC_RANGE_CONTAINED>
+{
+ static constexpr RangeCheck Check(Src value)
+ {
+ using SrcLimits = std::numeric_limits<Src>;
+ using DstLimits = NarrowingRange<Dst, Src, Bounds>;
+ return RangeCheck(static_cast<Dst>(SrcLimits::lowest()) >= DstLimits::lowest() ||
+ static_cast<Dst>(value) >= DstLimits::lowest(),
+ static_cast<Dst>(SrcLimits::max()) <= DstLimits::max() ||
+ static_cast<Dst>(value) <= DstLimits::max());
+ }
+};
+
+// Signed to signed narrowing: Both the upper and lower boundaries may be
+// exceeded for standard limits.
+template <typename Dst, typename Src, template <typename> class Bounds>
+struct DstRangeRelationToSrcRangeImpl<Dst,
+ Src,
+ Bounds,
+ INTEGER_REPRESENTATION_SIGNED,
+ INTEGER_REPRESENTATION_SIGNED,
+ NUMERIC_RANGE_NOT_CONTAINED>
+{
+ static constexpr RangeCheck Check(Src value)
+ {
+ using DstLimits = NarrowingRange<Dst, Src, Bounds>;
+ return RangeCheck(value >= DstLimits::lowest(), value <= DstLimits::max());
+ }
+};
+
+// Unsigned to unsigned narrowing: Only the upper bound can be exceeded for
+// standard limits.
+template <typename Dst, typename Src, template <typename> class Bounds>
+struct DstRangeRelationToSrcRangeImpl<Dst,
+ Src,
+ Bounds,
+ INTEGER_REPRESENTATION_UNSIGNED,
+ INTEGER_REPRESENTATION_UNSIGNED,
+ NUMERIC_RANGE_NOT_CONTAINED>
+{
+ static constexpr RangeCheck Check(Src value)
+ {
+ using DstLimits = NarrowingRange<Dst, Src, Bounds>;
+ return RangeCheck(DstLimits::lowest() == Dst(0) || value >= DstLimits::lowest(),
+ value <= DstLimits::max());
+ }
+};
+
+// Unsigned to signed: Only the upper bound can be exceeded for standard limits.
+template <typename Dst, typename Src, template <typename> class Bounds>
+struct DstRangeRelationToSrcRangeImpl<Dst,
+ Src,
+ Bounds,
+ INTEGER_REPRESENTATION_SIGNED,
+ INTEGER_REPRESENTATION_UNSIGNED,
+ NUMERIC_RANGE_NOT_CONTAINED>
+{
+ static constexpr RangeCheck Check(Src value)
+ {
+ using DstLimits = NarrowingRange<Dst, Src, Bounds>;
+ using Promotion = decltype(Src() + Dst());
+ return RangeCheck(
+ DstLimits::lowest() <= Dst(0) ||
+ static_cast<Promotion>(value) >= static_cast<Promotion>(DstLimits::lowest()),
+ static_cast<Promotion>(value) <= static_cast<Promotion>(DstLimits::max()));
+ }
+};
+
+// Signed to unsigned: The upper boundary may be exceeded for a narrower Dst,
+// and any negative value exceeds the lower boundary for standard limits.
+template <typename Dst, typename Src, template <typename> class Bounds>
+struct DstRangeRelationToSrcRangeImpl<Dst,
+ Src,
+ Bounds,
+ INTEGER_REPRESENTATION_UNSIGNED,
+ INTEGER_REPRESENTATION_SIGNED,
+ NUMERIC_RANGE_NOT_CONTAINED>
+{
+ static constexpr RangeCheck Check(Src value)
+ {
+ using SrcLimits = std::numeric_limits<Src>;
+ using DstLimits = NarrowingRange<Dst, Src, Bounds>;
+ using Promotion = decltype(Src() + Dst());
+ bool ge_zero = false;
+ // Converting floating-point to integer will discard fractional part, so
+ // values in (-1.0, -0.0) will truncate to 0 and fit in Dst.
+ if (std::is_floating_point<Src>::value)
+ {
+ ge_zero = value > Src(-1);
+ }
+ else
+ {
+ ge_zero = value >= Src(0);
+ }
+ return RangeCheck(
+ ge_zero && (DstLimits::lowest() == 0 || static_cast<Dst>(value) >= DstLimits::lowest()),
+ static_cast<Promotion>(SrcLimits::max()) <= static_cast<Promotion>(DstLimits::max()) ||
+ static_cast<Promotion>(value) <= static_cast<Promotion>(DstLimits::max()));
+ }
+};
+
+// Simple wrapper for statically checking if a type's range is contained.
+template <typename Dst, typename Src>
+struct IsTypeInRangeForNumericType
+{
+ static const bool value =
+ StaticDstRangeRelationToSrcRange<Dst, Src>::value == NUMERIC_RANGE_CONTAINED;
+};
+
+template <typename Dst, template <typename> class Bounds = std::numeric_limits, typename Src>
+constexpr RangeCheck DstRangeRelationToSrcRange(Src value)
+{
+ static_assert(std::is_arithmetic<Src>::value, "Argument must be numeric.");
+ static_assert(std::is_arithmetic<Dst>::value, "Result must be numeric.");
+ static_assert(Bounds<Dst>::lowest() < Bounds<Dst>::max(), "");
+ return DstRangeRelationToSrcRangeImpl<Dst, Src, Bounds>::Check(value);
+}
+
+// Integer promotion templates used by the portable checked integer arithmetic.
+template <size_t Size, bool IsSigned>
+struct IntegerForDigitsAndSign;
+
+#define INTEGER_FOR_DIGITS_AND_SIGN(I) \
+ template <> \
+ struct IntegerForDigitsAndSign<IntegerBitsPlusSign<I>::value, std::is_signed<I>::value> \
+ { \
+ using type = I; \
+ }
+
+INTEGER_FOR_DIGITS_AND_SIGN(int8_t);
+INTEGER_FOR_DIGITS_AND_SIGN(uint8_t);
+INTEGER_FOR_DIGITS_AND_SIGN(int16_t);
+INTEGER_FOR_DIGITS_AND_SIGN(uint16_t);
+INTEGER_FOR_DIGITS_AND_SIGN(int32_t);
+INTEGER_FOR_DIGITS_AND_SIGN(uint32_t);
+INTEGER_FOR_DIGITS_AND_SIGN(int64_t);
+INTEGER_FOR_DIGITS_AND_SIGN(uint64_t);
+#undef INTEGER_FOR_DIGITS_AND_SIGN
+
+// WARNING: We have no IntegerForSizeAndSign<16, *>. If we ever add one to
+// support 128-bit math, then the ArithmeticPromotion template below will need
+// to be updated (or more likely replaced with a decltype expression).
+static_assert(IntegerBitsPlusSign<intmax_t>::value == 64,
+ "Max integer size not supported for this toolchain.");
+
+template <typename Integer, bool IsSigned = std::is_signed<Integer>::value>
+struct TwiceWiderInteger
+{
+ using type =
+ typename IntegerForDigitsAndSign<IntegerBitsPlusSign<Integer>::value * 2, IsSigned>::type;
+};
+
+enum ArithmeticPromotionCategory
+{
+ LEFT_PROMOTION, // Use the type of the left-hand argument.
+ RIGHT_PROMOTION // Use the type of the right-hand argument.
+};
+
+// Determines the type that can represent the largest positive value.
+template <typename Lhs,
+ typename Rhs,
+ ArithmeticPromotionCategory Promotion =
+ (MaxExponent<Lhs>::value > MaxExponent<Rhs>::value) ? LEFT_PROMOTION
+ : RIGHT_PROMOTION>
+struct MaxExponentPromotion;
+
+template <typename Lhs, typename Rhs>
+struct MaxExponentPromotion<Lhs, Rhs, LEFT_PROMOTION>
+{
+ using type = Lhs;
+};
+
+template <typename Lhs, typename Rhs>
+struct MaxExponentPromotion<Lhs, Rhs, RIGHT_PROMOTION>
+{
+ using type = Rhs;
+};
+
+// Determines the type that can represent the lowest arithmetic value.
+template <typename Lhs,
+ typename Rhs,
+ ArithmeticPromotionCategory Promotion =
+ std::is_signed<Lhs>::value
+ ? (std::is_signed<Rhs>::value
+ ? (MaxExponent<Lhs>::value > MaxExponent<Rhs>::value ? LEFT_PROMOTION
+ : RIGHT_PROMOTION)
+ : LEFT_PROMOTION)
+ : (std::is_signed<Rhs>::value
+ ? RIGHT_PROMOTION
+ : (MaxExponent<Lhs>::value < MaxExponent<Rhs>::value ? LEFT_PROMOTION
+ : RIGHT_PROMOTION))>
+struct LowestValuePromotion;
+
+template <typename Lhs, typename Rhs>
+struct LowestValuePromotion<Lhs, Rhs, LEFT_PROMOTION>
+{
+ using type = Lhs;
+};
+
+template <typename Lhs, typename Rhs>
+struct LowestValuePromotion<Lhs, Rhs, RIGHT_PROMOTION>
+{
+ using type = Rhs;
+};
+
+// Determines the type that is best able to represent an arithmetic result.
+template <typename Lhs,
+ typename Rhs = Lhs,
+ bool is_intmax_type =
+ std::is_integral<typename MaxExponentPromotion<Lhs, Rhs>::type>::value
+ &&IntegerBitsPlusSign<typename MaxExponentPromotion<Lhs, Rhs>::type>::value ==
+ IntegerBitsPlusSign<intmax_t>::value,
+ bool is_max_exponent =
+ StaticDstRangeRelationToSrcRange<typename MaxExponentPromotion<Lhs, Rhs>::type,
+ Lhs>::value ==
+ NUMERIC_RANGE_CONTAINED
+ &&StaticDstRangeRelationToSrcRange<typename MaxExponentPromotion<Lhs, Rhs>::type,
+ Rhs>::value == NUMERIC_RANGE_CONTAINED>
+struct BigEnoughPromotion;
+
+// The side with the max exponent is big enough.
+template <typename Lhs, typename Rhs, bool is_intmax_type>
+struct BigEnoughPromotion<Lhs, Rhs, is_intmax_type, true>
+{
+ using type = typename MaxExponentPromotion<Lhs, Rhs>::type;
+ static const bool is_contained = true;
+};
+
+// We can use a twice wider type to fit.
+template <typename Lhs, typename Rhs>
+struct BigEnoughPromotion<Lhs, Rhs, false, false>
+{
+ using type =
+ typename TwiceWiderInteger<typename MaxExponentPromotion<Lhs, Rhs>::type,
+ std::is_signed<Lhs>::value || std::is_signed<Rhs>::value>::type;
+ static const bool is_contained = true;
+};
+
+// No type is large enough.
+template <typename Lhs, typename Rhs>
+struct BigEnoughPromotion<Lhs, Rhs, true, false>
+{
+ using type = typename MaxExponentPromotion<Lhs, Rhs>::type;
+ static const bool is_contained = false;
+};
+
+// We can statically check if operations on the provided types can wrap, so we
+// can skip the checked operations if they're not needed. So, for an integer we
+// care if the destination type preserves the sign and is twice the width of
+// the source.
+template <typename T, typename Lhs, typename Rhs = Lhs>
+struct IsIntegerArithmeticSafe
+{
+ static const bool value =
+ !std::is_floating_point<T>::value && !std::is_floating_point<Lhs>::value &&
+ !std::is_floating_point<Rhs>::value &&
+ std::is_signed<T>::value >= std::is_signed<Lhs>::value &&
+ IntegerBitsPlusSign<T>::value >= (2 * IntegerBitsPlusSign<Lhs>::value) &&
+ std::is_signed<T>::value >= std::is_signed<Rhs>::value &&
+ IntegerBitsPlusSign<T>::value >= (2 * IntegerBitsPlusSign<Rhs>::value);
+};
+
+// Promotes to a type that can represent any possible result of a binary
+// arithmetic operation with the source types.
+template <typename Lhs,
+ typename Rhs,
+ bool is_promotion_possible = IsIntegerArithmeticSafe<
+ typename std::conditional<std::is_signed<Lhs>::value || std::is_signed<Rhs>::value,
+ intmax_t,
+ uintmax_t>::type,
+ typename MaxExponentPromotion<Lhs, Rhs>::type>::value>
+struct FastIntegerArithmeticPromotion;
+
+template <typename Lhs, typename Rhs>
+struct FastIntegerArithmeticPromotion<Lhs, Rhs, true>
+{
+ using type =
+ typename TwiceWiderInteger<typename MaxExponentPromotion<Lhs, Rhs>::type,
+ std::is_signed<Lhs>::value || std::is_signed<Rhs>::value>::type;
+ static_assert(IsIntegerArithmeticSafe<type, Lhs, Rhs>::value, "");
+ static const bool is_contained = true;
+};
+
+template <typename Lhs, typename Rhs>
+struct FastIntegerArithmeticPromotion<Lhs, Rhs, false>
+{
+ using type = typename BigEnoughPromotion<Lhs, Rhs>::type;
+ static const bool is_contained = false;
+};
+
+// Extracts the underlying type from an enum.
+template <typename T, bool is_enum = std::is_enum<T>::value>
+struct ArithmeticOrUnderlyingEnum;
+
+template <typename T>
+struct ArithmeticOrUnderlyingEnum<T, true>
+{
+ using type = typename std::underlying_type<T>::type;
+ static const bool value = std::is_arithmetic<type>::value;
+};
+
+template <typename T>
+struct ArithmeticOrUnderlyingEnum<T, false>
+{
+ using type = T;
+ static const bool value = std::is_arithmetic<type>::value;
+};
+
+// The following are helper templates used in the CheckedNumeric class.
+template <typename T>
+class CheckedNumeric;
+
+template <typename T>
+class ClampedNumeric;
+
+template <typename T>
+class StrictNumeric;
+
+// Used to treat CheckedNumeric and arithmetic underlying types the same.
+template <typename T>
+struct UnderlyingType
+{
+ using type = typename ArithmeticOrUnderlyingEnum<T>::type;
+ static const bool is_numeric = std::is_arithmetic<type>::value;
+ static const bool is_checked = false;
+ static const bool is_clamped = false;
+ static const bool is_strict = false;
+};
+
+template <typename T>
+struct UnderlyingType<CheckedNumeric<T>>
+{
+ using type = T;
+ static const bool is_numeric = true;
+ static const bool is_checked = true;
+ static const bool is_clamped = false;
+ static const bool is_strict = false;
+};
+
+template <typename T>
+struct UnderlyingType<ClampedNumeric<T>>
+{
+ using type = T;
+ static const bool is_numeric = true;
+ static const bool is_checked = false;
+ static const bool is_clamped = true;
+ static const bool is_strict = false;
+};
+
+template <typename T>
+struct UnderlyingType<StrictNumeric<T>>
+{
+ using type = T;
+ static const bool is_numeric = true;
+ static const bool is_checked = false;
+ static const bool is_clamped = false;
+ static const bool is_strict = true;
+};
+
+template <typename L, typename R>
+struct IsCheckedOp
+{
+ static const bool value = UnderlyingType<L>::is_numeric && UnderlyingType<R>::is_numeric &&
+ (UnderlyingType<L>::is_checked || UnderlyingType<R>::is_checked);
+};
+
+template <typename L, typename R>
+struct IsClampedOp
+{
+ static const bool value = UnderlyingType<L>::is_numeric && UnderlyingType<R>::is_numeric &&
+ (UnderlyingType<L>::is_clamped || UnderlyingType<R>::is_clamped) &&
+ !(UnderlyingType<L>::is_checked || UnderlyingType<R>::is_checked);
+};
+
+template <typename L, typename R>
+struct IsStrictOp
+{
+ static const bool value = UnderlyingType<L>::is_numeric && UnderlyingType<R>::is_numeric &&
+ (UnderlyingType<L>::is_strict || UnderlyingType<R>::is_strict) &&
+ !(UnderlyingType<L>::is_checked || UnderlyingType<R>::is_checked) &&
+ !(UnderlyingType<L>::is_clamped || UnderlyingType<R>::is_clamped);
+};
+
+// as_signed<> returns the supplied integral value (or integral castable
+// Numeric template) cast as a signed integral of equivalent precision.
+// I.e. it's mostly an alias for: static_cast<std::make_signed<T>::type>(t)
+template <typename Src>
+constexpr typename std::make_signed<typename base::internal::UnderlyingType<Src>::type>::type
+as_signed(const Src value)
+{
+ static_assert(std::is_integral<decltype(as_signed(value))>::value,
+ "Argument must be a signed or unsigned integer type.");
+ return static_cast<decltype(as_signed(value))>(value);
+}
+
+// as_unsigned<> returns the supplied integral value (or integral castable
+// Numeric template) cast as an unsigned integral of equivalent precision.
+// I.e. it's mostly an alias for: static_cast<std::make_unsigned<T>::type>(t)
+template <typename Src>
+constexpr typename std::make_unsigned<typename base::internal::UnderlyingType<Src>::type>::type
+as_unsigned(const Src value)
+{
+ static_assert(std::is_integral<decltype(as_unsigned(value))>::value,
+ "Argument must be a signed or unsigned integer type.");
+ return static_cast<decltype(as_unsigned(value))>(value);
+}
+
+template <typename L, typename R>
+constexpr bool IsLessImpl(const L lhs,
+ const R rhs,
+ const RangeCheck l_range,
+ const RangeCheck r_range)
+{
+ return l_range.IsUnderflow() || r_range.IsOverflow() ||
+ (l_range == r_range &&
+ static_cast<decltype(lhs + rhs)>(lhs) < static_cast<decltype(lhs + rhs)>(rhs));
+}
+
+template <typename L, typename R>
+struct IsLess
+{
+ static_assert(std::is_arithmetic<L>::value && std::is_arithmetic<R>::value,
+ "Types must be numeric.");
+ static constexpr bool Test(const L lhs, const R rhs)
+ {
+ return IsLessImpl(lhs, rhs, DstRangeRelationToSrcRange<R>(lhs),
+ DstRangeRelationToSrcRange<L>(rhs));
+ }
+};
+
+template <typename L, typename R>
+constexpr bool IsLessOrEqualImpl(const L lhs,
+ const R rhs,
+ const RangeCheck l_range,
+ const RangeCheck r_range)
+{
+ return l_range.IsUnderflow() || r_range.IsOverflow() ||
+ (l_range == r_range &&
+ static_cast<decltype(lhs + rhs)>(lhs) <= static_cast<decltype(lhs + rhs)>(rhs));
+}
+
+template <typename L, typename R>
+struct IsLessOrEqual
+{
+ static_assert(std::is_arithmetic<L>::value && std::is_arithmetic<R>::value,
+ "Types must be numeric.");
+ static constexpr bool Test(const L lhs, const R rhs)
+ {
+ return IsLessOrEqualImpl(lhs, rhs, DstRangeRelationToSrcRange<R>(lhs),
+ DstRangeRelationToSrcRange<L>(rhs));
+ }
+};
+
+template <typename L, typename R>
+constexpr bool IsGreaterImpl(const L lhs,
+ const R rhs,
+ const RangeCheck l_range,
+ const RangeCheck r_range)
+{
+ return l_range.IsOverflow() || r_range.IsUnderflow() ||
+ (l_range == r_range &&
+ static_cast<decltype(lhs + rhs)>(lhs) > static_cast<decltype(lhs + rhs)>(rhs));
+}
+
+template <typename L, typename R>
+struct IsGreater
+{
+ static_assert(std::is_arithmetic<L>::value && std::is_arithmetic<R>::value,
+ "Types must be numeric.");
+ static constexpr bool Test(const L lhs, const R rhs)
+ {
+ return IsGreaterImpl(lhs, rhs, DstRangeRelationToSrcRange<R>(lhs),
+ DstRangeRelationToSrcRange<L>(rhs));
+ }
+};
+
+template <typename L, typename R>
+constexpr bool IsGreaterOrEqualImpl(const L lhs,
+ const R rhs,
+ const RangeCheck l_range,
+ const RangeCheck r_range)
+{
+ return l_range.IsOverflow() || r_range.IsUnderflow() ||
+ (l_range == r_range &&
+ static_cast<decltype(lhs + rhs)>(lhs) >= static_cast<decltype(lhs + rhs)>(rhs));
+}
+
+template <typename L, typename R>
+struct IsGreaterOrEqual
+{
+ static_assert(std::is_arithmetic<L>::value && std::is_arithmetic<R>::value,
+ "Types must be numeric.");
+ static constexpr bool Test(const L lhs, const R rhs)
+ {
+ return IsGreaterOrEqualImpl(lhs, rhs, DstRangeRelationToSrcRange<R>(lhs),
+ DstRangeRelationToSrcRange<L>(rhs));
+ }
+};
+
+template <typename L, typename R>
+struct IsEqual
+{
+ static_assert(std::is_arithmetic<L>::value && std::is_arithmetic<R>::value,
+ "Types must be numeric.");
+ static constexpr bool Test(const L lhs, const R rhs)
+ {
+ return DstRangeRelationToSrcRange<R>(lhs) == DstRangeRelationToSrcRange<L>(rhs) &&
+ static_cast<decltype(lhs + rhs)>(lhs) == static_cast<decltype(lhs + rhs)>(rhs);
+ }
+};
+
+template <typename L, typename R>
+struct IsNotEqual
+{
+ static_assert(std::is_arithmetic<L>::value && std::is_arithmetic<R>::value,
+ "Types must be numeric.");
+ static constexpr bool Test(const L lhs, const R rhs)
+ {
+ return DstRangeRelationToSrcRange<R>(lhs) != DstRangeRelationToSrcRange<L>(rhs) ||
+ static_cast<decltype(lhs + rhs)>(lhs) != static_cast<decltype(lhs + rhs)>(rhs);
+ }
+};
+
+// These perform the actual math operations on the CheckedNumerics.
+// Binary arithmetic operations.
+template <template <typename, typename> class C, typename L, typename R>
+constexpr bool SafeCompare(const L lhs, const R rhs)
+{
+ static_assert(std::is_arithmetic<L>::value && std::is_arithmetic<R>::value,
+ "Types must be numeric.");
+ using Promotion = BigEnoughPromotion<L, R>;
+ using BigType = typename Promotion::type;
+ return Promotion::is_contained
+ // Force to a larger type for speed if both are contained.
+ ? C<BigType, BigType>::Test(static_cast<BigType>(static_cast<L>(lhs)),
+ static_cast<BigType>(static_cast<R>(rhs)))
+ // Let the template functions figure it out for mixed types.
+ : C<L, R>::Test(lhs, rhs);
+}
+
+template <typename Dst, typename Src>
+constexpr bool IsMaxInRangeForNumericType()
+{
+ return IsGreaterOrEqual<Dst, Src>::Test(std::numeric_limits<Dst>::max(),
+ std::numeric_limits<Src>::max());
+}
+
+template <typename Dst, typename Src>
+constexpr bool IsMinInRangeForNumericType()
+{
+ return IsLessOrEqual<Dst, Src>::Test(std::numeric_limits<Dst>::lowest(),
+ std::numeric_limits<Src>::lowest());
+}
+
+template <typename Dst, typename Src>
+constexpr Dst CommonMax()
+{
+ return !IsMaxInRangeForNumericType<Dst, Src>() ? Dst(std::numeric_limits<Dst>::max())
+ : Dst(std::numeric_limits<Src>::max());
+}
+
+template <typename Dst, typename Src>
+constexpr Dst CommonMin()
+{
+ return !IsMinInRangeForNumericType<Dst, Src>() ? Dst(std::numeric_limits<Dst>::lowest())
+ : Dst(std::numeric_limits<Src>::lowest());
+}
+
+// This is a wrapper to generate return the max or min for a supplied type.
+// If the argument is false, the returned value is the maximum. If true the
+// returned value is the minimum.
+template <typename Dst, typename Src = Dst>
+constexpr Dst CommonMaxOrMin(bool is_min)
+{
+ return is_min ? CommonMin<Dst, Src>() : CommonMax<Dst, Src>();
+}
+
+} // namespace internal
+} // namespace base
+} // namespace angle
+
+#endif // BASE_NUMERICS_SAFE_CONVERSIONS_IMPL_H_
diff --git a/gfx/angle/checkout/src/common/third_party/base/anglebase/numerics/safe_math.h b/gfx/angle/checkout/src/common/third_party/base/anglebase/numerics/safe_math.h
new file mode 100644
index 0000000000..a708cfddc2
--- /dev/null
+++ b/gfx/angle/checkout/src/common/third_party/base/anglebase/numerics/safe_math.h
@@ -0,0 +1,12 @@
+// Copyright 2017 The Chromium Authors. All rights reserved.
+// Use of this source code is governed by a BSD-style license that can be
+// found in the LICENSE file.
+
+#ifndef BASE_NUMERICS_SAFE_MATH_H_
+#define BASE_NUMERICS_SAFE_MATH_H_
+
+#include "anglebase/numerics/checked_math.h"
+#include "anglebase/numerics/clamped_math.h"
+#include "anglebase/numerics/safe_conversions.h"
+
+#endif // BASE_NUMERICS_SAFE_MATH_H_
diff --git a/gfx/angle/checkout/src/common/third_party/base/anglebase/numerics/safe_math_arm_impl.h b/gfx/angle/checkout/src/common/third_party/base/anglebase/numerics/safe_math_arm_impl.h
new file mode 100644
index 0000000000..3efdf2596d
--- /dev/null
+++ b/gfx/angle/checkout/src/common/third_party/base/anglebase/numerics/safe_math_arm_impl.h
@@ -0,0 +1,131 @@
+// Copyright 2017 The Chromium Authors. All rights reserved.
+// Use of this source code is governed by a BSD-style license that can be
+// found in the LICENSE file.
+
+#ifndef BASE_NUMERICS_SAFE_MATH_ARM_IMPL_H_
+#define BASE_NUMERICS_SAFE_MATH_ARM_IMPL_H_
+
+#include <cassert>
+#include <type_traits>
+
+#include "anglebase/numerics/safe_conversions.h"
+
+namespace angle
+{
+namespace base
+{
+namespace internal
+{
+
+template <typename T, typename U>
+struct CheckedMulFastAsmOp
+{
+ static const bool is_supported = FastIntegerArithmeticPromotion<T, U>::is_contained;
+
+ // The following is much more efficient than the Clang and GCC builtins for
+ // performing overflow-checked multiplication when a twice wider type is
+ // available. The below compiles down to 2-3 instructions, depending on the
+ // width of the types in use.
+ // As an example, an int32_t multiply compiles to:
+ // smull r0, r1, r0, r1
+ // cmp r1, r1, asr #31
+ // And an int16_t multiply compiles to:
+ // smulbb r1, r1, r0
+ // asr r2, r1, #16
+ // cmp r2, r1, asr #15
+ template <typename V>
+ __attribute__((always_inline)) static bool Do(T x, U y, V *result)
+ {
+ using Promotion = typename FastIntegerArithmeticPromotion<T, U>::type;
+ Promotion presult;
+
+ presult = static_cast<Promotion>(x) * static_cast<Promotion>(y);
+ if (!IsValueInRangeForNumericType<V>(presult))
+ return false;
+ *result = static_cast<V>(presult);
+ return true;
+ }
+};
+
+template <typename T, typename U>
+struct ClampedAddFastAsmOp
+{
+ static const bool is_supported =
+ BigEnoughPromotion<T, U>::is_contained &&
+ IsTypeInRangeForNumericType<int32_t, typename BigEnoughPromotion<T, U>::type>::value;
+
+ template <typename V>
+ __attribute__((always_inline)) static V Do(T x, U y)
+ {
+ // This will get promoted to an int, so let the compiler do whatever is
+ // clever and rely on the saturated cast to bounds check.
+ if (IsIntegerArithmeticSafe<int, T, U>::value)
+ return saturated_cast<V>(x + y);
+
+ int32_t result;
+ int32_t x_i32 = checked_cast<int32_t>(x);
+ int32_t y_i32 = checked_cast<int32_t>(y);
+
+ asm("qadd %[result], %[first], %[second]"
+ : [result] "=r"(result)
+ : [first] "r"(x_i32), [second] "r"(y_i32));
+ return saturated_cast<V>(result);
+ }
+};
+
+template <typename T, typename U>
+struct ClampedSubFastAsmOp
+{
+ static const bool is_supported =
+ BigEnoughPromotion<T, U>::is_contained &&
+ IsTypeInRangeForNumericType<int32_t, typename BigEnoughPromotion<T, U>::type>::value;
+
+ template <typename V>
+ __attribute__((always_inline)) static V Do(T x, U y)
+ {
+ // This will get promoted to an int, so let the compiler do whatever is
+ // clever and rely on the saturated cast to bounds check.
+ if (IsIntegerArithmeticSafe<int, T, U>::value)
+ return saturated_cast<V>(x - y);
+
+ int32_t result;
+ int32_t x_i32 = checked_cast<int32_t>(x);
+ int32_t y_i32 = checked_cast<int32_t>(y);
+
+ asm("qsub %[result], %[first], %[second]"
+ : [result] "=r"(result)
+ : [first] "r"(x_i32), [second] "r"(y_i32));
+ return saturated_cast<V>(result);
+ }
+};
+
+template <typename T, typename U>
+struct ClampedMulFastAsmOp
+{
+ static const bool is_supported = CheckedMulFastAsmOp<T, U>::is_supported;
+
+ template <typename V>
+ __attribute__((always_inline)) static V Do(T x, U y)
+ {
+ // Use the CheckedMulFastAsmOp for full-width 32-bit values, because
+ // it's fewer instructions than promoting and then saturating.
+ if (!IsIntegerArithmeticSafe<int32_t, T, U>::value &&
+ !IsIntegerArithmeticSafe<uint32_t, T, U>::value)
+ {
+ V result;
+ return CheckedMulFastAsmOp<T, U>::Do(x, y, &result)
+ ? result
+ : CommonMaxOrMin<V>(IsValueNegative(x) ^ IsValueNegative(y));
+ }
+
+ assert((FastIntegerArithmeticPromotion<T, U>::is_contained));
+ using Promotion = typename FastIntegerArithmeticPromotion<T, U>::type;
+ return saturated_cast<V>(static_cast<Promotion>(x) * static_cast<Promotion>(y));
+ }
+};
+
+} // namespace internal
+} // namespace base
+} // namespace angle
+
+#endif // BASE_NUMERICS_SAFE_MATH_ARM_IMPL_H_
diff --git a/gfx/angle/checkout/src/common/third_party/base/anglebase/numerics/safe_math_clang_gcc_impl.h b/gfx/angle/checkout/src/common/third_party/base/anglebase/numerics/safe_math_clang_gcc_impl.h
new file mode 100644
index 0000000000..0f6a1e14d6
--- /dev/null
+++ b/gfx/angle/checkout/src/common/third_party/base/anglebase/numerics/safe_math_clang_gcc_impl.h
@@ -0,0 +1,182 @@
+// Copyright 2017 The Chromium Authors. All rights reserved.
+// Use of this source code is governed by a BSD-style license that can be
+// found in the LICENSE file.
+
+#ifndef BASE_NUMERICS_SAFE_MATH_CLANG_GCC_IMPL_H_
+#define BASE_NUMERICS_SAFE_MATH_CLANG_GCC_IMPL_H_
+
+#include <cassert>
+#include <limits>
+#include <type_traits>
+
+#include "anglebase/numerics/safe_conversions.h"
+
+#if !defined(__native_client__) && (defined(__ARMEL__) || defined(__arch64__))
+# include "anglebase/numerics/safe_math_arm_impl.h"
+# define BASE_HAS_ASSEMBLER_SAFE_MATH (1)
+#else
+# define BASE_HAS_ASSEMBLER_SAFE_MATH (0)
+#endif
+
+namespace angle
+{
+namespace base
+{
+namespace internal
+{
+
+// These are the non-functioning boilerplate implementations of the optimized
+// safe math routines.
+#if !BASE_HAS_ASSEMBLER_SAFE_MATH
+template <typename T, typename U>
+struct CheckedMulFastAsmOp
+{
+ static const bool is_supported = false;
+ template <typename V>
+ static constexpr bool Do(T, U, V *)
+ {
+ // Force a compile failure if instantiated.
+ return CheckOnFailure::template HandleFailure<bool>();
+ }
+};
+
+template <typename T, typename U>
+struct ClampedAddFastAsmOp
+{
+ static const bool is_supported = false;
+ template <typename V>
+ static constexpr V Do(T, U)
+ {
+ // Force a compile failure if instantiated.
+ return CheckOnFailure::template HandleFailure<V>();
+ }
+};
+
+template <typename T, typename U>
+struct ClampedSubFastAsmOp
+{
+ static const bool is_supported = false;
+ template <typename V>
+ static constexpr V Do(T, U)
+ {
+ // Force a compile failure if instantiated.
+ return CheckOnFailure::template HandleFailure<V>();
+ }
+};
+
+template <typename T, typename U>
+struct ClampedMulFastAsmOp
+{
+ static const bool is_supported = false;
+ template <typename V>
+ static constexpr V Do(T, U)
+ {
+ // Force a compile failure if instantiated.
+ return CheckOnFailure::template HandleFailure<V>();
+ }
+};
+#endif // BASE_HAS_ASSEMBLER_SAFE_MATH
+#undef BASE_HAS_ASSEMBLER_SAFE_MATH
+
+template <typename T, typename U>
+struct CheckedAddFastOp
+{
+ static const bool is_supported = true;
+ template <typename V>
+ __attribute__((always_inline)) static constexpr bool Do(T x, U y, V *result)
+ {
+ return !__builtin_add_overflow(x, y, result);
+ }
+};
+
+template <typename T, typename U>
+struct CheckedSubFastOp
+{
+ static const bool is_supported = true;
+ template <typename V>
+ __attribute__((always_inline)) static constexpr bool Do(T x, U y, V *result)
+ {
+ return !__builtin_sub_overflow(x, y, result);
+ }
+};
+
+template <typename T, typename U>
+struct CheckedMulFastOp
+{
+#if defined(__clang__)
+ // TODO(jschuh): Get the Clang runtime library issues sorted out so we can
+ // support full-width, mixed-sign multiply builtins.
+ // https://crbug.com/613003
+ // We can support intptr_t, uintptr_t, or a smaller common type.
+ static const bool is_supported = (IsTypeInRangeForNumericType<intptr_t, T>::value &&
+ IsTypeInRangeForNumericType<intptr_t, U>::value) ||
+ (IsTypeInRangeForNumericType<uintptr_t, T>::value &&
+ IsTypeInRangeForNumericType<uintptr_t, U>::value);
+#else
+ static const bool is_supported = true;
+#endif
+ template <typename V>
+ __attribute__((always_inline)) static constexpr bool Do(T x, U y, V *result)
+ {
+ return CheckedMulFastAsmOp<T, U>::is_supported ? CheckedMulFastAsmOp<T, U>::Do(x, y, result)
+ : !__builtin_mul_overflow(x, y, result);
+ }
+};
+
+template <typename T, typename U>
+struct ClampedAddFastOp
+{
+ static const bool is_supported = ClampedAddFastAsmOp<T, U>::is_supported;
+ template <typename V>
+ __attribute__((always_inline)) static V Do(T x, U y)
+ {
+ return ClampedAddFastAsmOp<T, U>::template Do<V>(x, y);
+ }
+};
+
+template <typename T, typename U>
+struct ClampedSubFastOp
+{
+ static const bool is_supported = ClampedSubFastAsmOp<T, U>::is_supported;
+ template <typename V>
+ __attribute__((always_inline)) static V Do(T x, U y)
+ {
+ return ClampedSubFastAsmOp<T, U>::template Do<V>(x, y);
+ }
+};
+
+template <typename T, typename U>
+struct ClampedMulFastOp
+{
+ static const bool is_supported = ClampedMulFastAsmOp<T, U>::is_supported;
+ template <typename V>
+ __attribute__((always_inline)) static V Do(T x, U y)
+ {
+ return ClampedMulFastAsmOp<T, U>::template Do<V>(x, y);
+ }
+};
+
+template <typename T>
+struct ClampedNegFastOp
+{
+ static const bool is_supported = std::is_signed<T>::value;
+ __attribute__((always_inline)) static T Do(T value)
+ {
+ // Use this when there is no assembler path available.
+ if (!ClampedSubFastAsmOp<T, T>::is_supported)
+ {
+ T result;
+ return !__builtin_sub_overflow(T(0), value, &result) ? result
+ : std::numeric_limits<T>::max();
+ }
+
+ // Fallback to the normal subtraction path.
+ return ClampedSubFastOp<T, T>::template Do<T>(T(0), value);
+ }
+};
+
+} // namespace internal
+} // namespace base
+} // namespace angle
+
+#endif // BASE_NUMERICS_SAFE_MATH_CLANG_GCC_IMPL_H_
diff --git a/gfx/angle/checkout/src/common/third_party/base/anglebase/numerics/safe_math_shared_impl.h b/gfx/angle/checkout/src/common/third_party/base/anglebase/numerics/safe_math_shared_impl.h
new file mode 100644
index 0000000000..6f46f12e5f
--- /dev/null
+++ b/gfx/angle/checkout/src/common/third_party/base/anglebase/numerics/safe_math_shared_impl.h
@@ -0,0 +1,227 @@
+// Copyright 2017 The Chromium Authors. All rights reserved.
+// Use of this source code is governed by a BSD-style license that can be
+// found in the LICENSE file.
+
+#ifndef BASE_NUMERICS_SAFE_MATH_SHARED_IMPL_H_
+#define BASE_NUMERICS_SAFE_MATH_SHARED_IMPL_H_
+
+#include <stddef.h>
+#include <stdint.h>
+
+#include <cassert>
+#include <climits>
+#include <cmath>
+#include <cstdlib>
+#include <limits>
+#include <type_traits>
+
+#include "anglebase/numerics/safe_conversions.h"
+
+#if defined(OS_ASMJS)
+// Optimized safe math instructions are incompatible with asmjs.
+# define BASE_HAS_OPTIMIZED_SAFE_MATH (0)
+// Where available use builtin math overflow support on Clang and GCC.
+#elif !defined(__native_client__) && \
+ ((defined(__clang__) && \
+ ((__clang_major__ > 3) || (__clang_major__ == 3 && __clang_minor__ >= 4))) || \
+ (defined(__GNUC__) && __GNUC__ >= 5))
+# include "anglebase/numerics/safe_math_clang_gcc_impl.h"
+# define BASE_HAS_OPTIMIZED_SAFE_MATH (1)
+#else
+# define BASE_HAS_OPTIMIZED_SAFE_MATH (0)
+#endif
+
+namespace angle
+{
+namespace base
+{
+namespace internal
+{
+
+// These are the non-functioning boilerplate implementations of the optimized
+// safe math routines.
+#if !BASE_HAS_OPTIMIZED_SAFE_MATH
+template <typename T, typename U>
+struct CheckedAddFastOp
+{
+ static const bool is_supported = false;
+ template <typename V>
+ static constexpr bool Do(T, U, V *)
+ {
+ // Force a compile failure if instantiated.
+ return CheckOnFailure::template HandleFailure<bool>();
+ }
+};
+
+template <typename T, typename U>
+struct CheckedSubFastOp
+{
+ static const bool is_supported = false;
+ template <typename V>
+ static constexpr bool Do(T, U, V *)
+ {
+ // Force a compile failure if instantiated.
+ return CheckOnFailure::template HandleFailure<bool>();
+ }
+};
+
+template <typename T, typename U>
+struct CheckedMulFastOp
+{
+ static const bool is_supported = false;
+ template <typename V>
+ static constexpr bool Do(T, U, V *)
+ {
+ // Force a compile failure if instantiated.
+ return CheckOnFailure::template HandleFailure<bool>();
+ }
+};
+
+template <typename T, typename U>
+struct ClampedAddFastOp
+{
+ static const bool is_supported = false;
+ template <typename V>
+ static constexpr V Do(T, U)
+ {
+ // Force a compile failure if instantiated.
+ return CheckOnFailure::template HandleFailure<V>();
+ }
+};
+
+template <typename T, typename U>
+struct ClampedSubFastOp
+{
+ static const bool is_supported = false;
+ template <typename V>
+ static constexpr V Do(T, U)
+ {
+ // Force a compile failure if instantiated.
+ return CheckOnFailure::template HandleFailure<V>();
+ }
+};
+
+template <typename T, typename U>
+struct ClampedMulFastOp
+{
+ static const bool is_supported = false;
+ template <typename V>
+ static constexpr V Do(T, U)
+ {
+ // Force a compile failure if instantiated.
+ return CheckOnFailure::template HandleFailure<V>();
+ }
+};
+
+template <typename T>
+struct ClampedNegFastOp
+{
+ static const bool is_supported = false;
+ static constexpr T Do(T)
+ {
+ // Force a compile failure if instantiated.
+ return CheckOnFailure::template HandleFailure<T>();
+ }
+};
+#endif // BASE_HAS_OPTIMIZED_SAFE_MATH
+#undef BASE_HAS_OPTIMIZED_SAFE_MATH
+
+// This is used for UnsignedAbs, where we need to support floating-point
+// template instantiations even though we don't actually support the operations.
+// However, there is no corresponding implementation of e.g. SafeUnsignedAbs,
+// so the float versions will not compile.
+template <typename Numeric,
+ bool IsInteger = std::is_integral<Numeric>::value,
+ bool IsFloat = std::is_floating_point<Numeric>::value>
+struct UnsignedOrFloatForSize;
+
+template <typename Numeric>
+struct UnsignedOrFloatForSize<Numeric, true, false>
+{
+ using type = typename std::make_unsigned<Numeric>::type;
+};
+
+template <typename Numeric>
+struct UnsignedOrFloatForSize<Numeric, false, true>
+{
+ using type = Numeric;
+};
+
+// Wrap the unary operations to allow SFINAE when instantiating integrals versus
+// floating points. These don't perform any overflow checking. Rather, they
+// exhibit well-defined overflow semantics and rely on the caller to detect
+// if an overflow occured.
+
+template <typename T, typename std::enable_if<std::is_integral<T>::value>::type * = nullptr>
+constexpr T NegateWrapper(T value)
+{
+ using UnsignedT = typename std::make_unsigned<T>::type;
+ // This will compile to a NEG on Intel, and is normal negation on ARM.
+ return static_cast<T>(UnsignedT(0) - static_cast<UnsignedT>(value));
+}
+
+template <typename T, typename std::enable_if<std::is_floating_point<T>::value>::type * = nullptr>
+constexpr T NegateWrapper(T value)
+{
+ return -value;
+}
+
+template <typename T, typename std::enable_if<std::is_integral<T>::value>::type * = nullptr>
+constexpr typename std::make_unsigned<T>::type InvertWrapper(T value)
+{
+ return ~value;
+}
+
+template <typename T, typename std::enable_if<std::is_integral<T>::value>::type * = nullptr>
+constexpr T AbsWrapper(T value)
+{
+ return static_cast<T>(SafeUnsignedAbs(value));
+}
+
+template <typename T, typename std::enable_if<std::is_floating_point<T>::value>::type * = nullptr>
+constexpr T AbsWrapper(T value)
+{
+ return value < 0 ? -value : value;
+}
+
+template <template <typename, typename, typename> class M, typename L, typename R>
+struct MathWrapper
+{
+ using math = M<typename UnderlyingType<L>::type, typename UnderlyingType<R>::type, void>;
+ using type = typename math::result_type;
+};
+
+// The following macros are just boilerplate for the standard arithmetic
+// operator overloads and variadic function templates. A macro isn't the nicest
+// solution, but it beats rewriting these over and over again.
+#define BASE_NUMERIC_ARITHMETIC_VARIADIC(CLASS, CL_ABBR, OP_NAME) \
+ template <typename L, typename R, typename... Args> \
+ constexpr auto CL_ABBR##OP_NAME(const L lhs, const R rhs, const Args... args) \
+ { \
+ return CL_ABBR##MathOp<CLASS##OP_NAME##Op, L, R, Args...>(lhs, rhs, args...); \
+ }
+
+#define BASE_NUMERIC_ARITHMETIC_OPERATORS(CLASS, CL_ABBR, OP_NAME, OP, CMP_OP) \
+ /* Binary arithmetic operator for all CLASS##Numeric operations. */ \
+ template <typename L, typename R, \
+ typename std::enable_if<Is##CLASS##Op<L, R>::value>::type * = nullptr> \
+ constexpr CLASS##Numeric<typename MathWrapper<CLASS##OP_NAME##Op, L, R>::type> operator OP( \
+ const L lhs, const R rhs) \
+ { \
+ return decltype(lhs OP rhs)::template MathOp<CLASS##OP_NAME##Op>(lhs, rhs); \
+ } \
+ /* Assignment arithmetic operator implementation from CLASS##Numeric. */ \
+ template <typename L> \
+ template <typename R> \
+ constexpr CLASS##Numeric<L> &CLASS##Numeric<L>::operator CMP_OP(const R rhs) \
+ { \
+ return MathOp<CLASS##OP_NAME##Op>(rhs); \
+ } \
+ /* Variadic arithmetic functions that return CLASS##Numeric. */ \
+ BASE_NUMERIC_ARITHMETIC_VARIADIC(CLASS, CL_ABBR, OP_NAME)
+
+} // namespace internal
+} // namespace base
+} // namespace angle
+
+#endif // BASE_NUMERICS_SAFE_MATH_SHARED_IMPL_H_