// 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 "base/numerics/checked_math_impl.h" 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: using type = T; constexpr CheckedNumeric() = default; // Copy constructor. template <typename Src> constexpr CheckedNumeric(const CheckedNumeric<Src>& rhs) : state_(rhs.state_.value(), rhs.IsValid()) {} template <typename Src> friend class CheckedNumeric; // 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 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 { // The negation of two's complement int min is int min, so we simply // check for that in the constexpr case. // We use an optimized code path for a known run-time variable. return MustTreatAsConstexpr(state_.value()) || !std::is_signed<T>::value || std::is_floating_point<T>::value ? CheckedNumeric<T>( NegateWrapper(state_.value()), IsValid() && (!std::is_signed<T>::value || std::is_floating_point<T>::value || NegateWrapper(state_.value()) != std::numeric_limits<T>::lowest())) : FastRuntimeNegate(); } 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 { using R = typename UnderlyingType<U>::type; using result_type = typename MathWrapper<CheckedMaxOp, T, U>::type; // TODO(jschuh): This can be converted to the MathOp version and remain // constexpr once we have C++14 support. return CheckedNumeric<result_type>( static_cast<result_type>( IsGreater<T, R>::Test(state_.value(), Wrapper<U>::value(rhs)) ? state_.value() : Wrapper<U>::value(rhs)), state_.is_valid() && Wrapper<U>::is_valid(rhs)); } template <typename U> constexpr CheckedNumeric<typename MathWrapper<CheckedMinOp, T, U>::type> Min( const U rhs) const { using R = typename UnderlyingType<U>::type; using result_type = typename MathWrapper<CheckedMinOp, T, U>::type; // TODO(jschuh): This can be converted to the MathOp version and remain // constexpr once we have C++14 support. return CheckedNumeric<result_type>( static_cast<result_type>( IsLess<T, R>::Test(state_.value(), Wrapper<U>::value(rhs)) ? state_.value() : Wrapper<U>::value(rhs)), state_.is_valid() && Wrapper<U>::is_valid(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) { 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; 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. 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; 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 CheckedNumeric<typename ResultType<M, L, R, Args...>::type> 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) { 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) { 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::CheckedNumeric; using internal::IsValidForType; using internal::ValueOrDieForType; using internal::ValueOrDefaultForType; using internal::MakeCheckedNum; using internal::CheckMax; using internal::CheckMin; using internal::CheckAdd; using internal::CheckSub; using internal::CheckMul; using internal::CheckDiv; using internal::CheckMod; using internal::CheckLsh; using internal::CheckRsh; using internal::CheckAnd; using internal::CheckOr; using internal::CheckXor; } // namespace base #endif // BASE_NUMERICS_CHECKED_MATH_H_