| Index: third_party/base/numerics/safe_math_impl.h
|
| diff --git a/third_party/base/numerics/safe_math_impl.h b/third_party/base/numerics/safe_math_impl.h
|
| index f950f5d517e107248596bc23ca832f4d107803e9..5ad79ce1923dadb69971e407298baab3717dc060 100644
|
| --- a/third_party/base/numerics/safe_math_impl.h
|
| +++ b/third_party/base/numerics/safe_math_impl.h
|
| @@ -14,7 +14,6 @@
|
| #include <limits>
|
| #include <type_traits>
|
|
|
| -#include "third_party/base/macros.h"
|
| #include "third_party/base/numerics/safe_conversions.h"
|
|
|
| namespace pdfium {
|
| @@ -25,355 +24,486 @@ namespace internal {
|
| // but it may not be fast. This code could be split based on
|
| // platform/architecture and replaced with potentially faster implementations.
|
|
|
| -// Integer promotion templates used by the portable checked integer arithmetic.
|
| -template <size_t Size, bool IsSigned>
|
| -struct IntegerForSizeAndSign;
|
| -template <>
|
| -struct IntegerForSizeAndSign<1, true> {
|
| - typedef int8_t type;
|
| -};
|
| -template <>
|
| -struct IntegerForSizeAndSign<1, false> {
|
| - typedef uint8_t type;
|
| -};
|
| -template <>
|
| -struct IntegerForSizeAndSign<2, true> {
|
| - typedef int16_t type;
|
| -};
|
| -template <>
|
| -struct IntegerForSizeAndSign<2, false> {
|
| - typedef uint16_t type;
|
| -};
|
| -template <>
|
| -struct IntegerForSizeAndSign<4, true> {
|
| - typedef int32_t type;
|
| -};
|
| -template <>
|
| -struct IntegerForSizeAndSign<4, false> {
|
| - typedef uint32_t type;
|
| -};
|
| -template <>
|
| -struct IntegerForSizeAndSign<8, true> {
|
| - typedef int64_t type;
|
| -};
|
| -template <>
|
| -struct IntegerForSizeAndSign<8, false> {
|
| - typedef uint64_t type;
|
| -};
|
| -
|
| -// 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).
|
| -
|
| -template <typename Integer>
|
| -struct UnsignedIntegerForSize {
|
| - typedef typename std::enable_if<
|
| - std::numeric_limits<Integer>::is_integer,
|
| - typename IntegerForSizeAndSign<sizeof(Integer), false>::type>::type type;
|
| -};
|
| -
|
| -template <typename Integer>
|
| -struct SignedIntegerForSize {
|
| - typedef typename std::enable_if<
|
| - std::numeric_limits<Integer>::is_integer,
|
| - typename IntegerForSizeAndSign<sizeof(Integer), true>::type>::type type;
|
| -};
|
| -
|
| -template <typename Integer>
|
| -struct TwiceWiderInteger {
|
| - typedef typename std::enable_if<
|
| - std::numeric_limits<Integer>::is_integer,
|
| - typename IntegerForSizeAndSign<
|
| - sizeof(Integer) * 2,
|
| - std::numeric_limits<Integer>::is_signed>::type>::type type;
|
| -};
|
| -
|
| -template <typename Integer>
|
| -struct PositionOfSignBit {
|
| - static const typename std::enable_if<std::numeric_limits<Integer>::is_integer,
|
| - size_t>::type value =
|
| - CHAR_BIT * sizeof(Integer) - 1;
|
| -};
|
| -
|
| // 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. CheckedUnsignedAbs,
|
| +// However, there is no corresponding implementation of e.g. SafeUnsignedAbs,
|
| // so the float versions will not compile.
|
| template <typename Numeric,
|
| - bool IsInteger = std::numeric_limits<Numeric>::is_integer,
|
| - bool IsFloat = std::numeric_limits<Numeric>::is_iec559>
|
| + 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> {
|
| - typedef typename UnsignedIntegerForSize<Numeric>::type type;
|
| + using type = typename std::make_unsigned<Numeric>::type;
|
| };
|
|
|
| template <typename Numeric>
|
| struct UnsignedOrFloatForSize<Numeric, false, true> {
|
| - typedef Numeric type;
|
| + using type = Numeric;
|
| };
|
|
|
| -// Helper templates for integer manipulations.
|
| -
|
| -template <typename T>
|
| -constexpr bool HasSignBit(T x) {
|
| - // Cast to unsigned since right shift on signed is undefined.
|
| - return !!(static_cast<typename UnsignedIntegerForSize<T>::type>(x) >>
|
| - PositionOfSignBit<T>::value);
|
| -}
|
| -
|
| -// This wrapper undoes the standard integer promotions.
|
| -template <typename T>
|
| -constexpr T BinaryComplement(T x) {
|
| - return static_cast<T>(~x);
|
| -}
|
| -
|
| -// Here are the actual portable checked integer math implementations.
|
| -// TODO(jschuh): Break this code out from the enable_if pattern and find a clean
|
| -// way to coalesce things into the CheckedNumericState specializations below.
|
| +// Probe for builtin math overflow support on Clang and version check on GCC.
|
| +#if defined(__has_builtin)
|
| +#define USE_OVERFLOW_BUILTINS (__has_builtin(__builtin_add_overflow))
|
| +#elif defined(__GNUC__)
|
| +#define USE_OVERFLOW_BUILTINS (__GNUC__ >= 5)
|
| +#else
|
| +#define USE_OVERFLOW_BUILTINS (0)
|
| +#endif
|
|
|
| template <typename T>
|
| -typename std::enable_if<std::numeric_limits<T>::is_integer, T>::type
|
| -CheckedAdd(T x, T y, RangeConstraint* validity) {
|
| +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.
|
| - typedef typename UnsignedIntegerForSize<T>::type UnsignedDst;
|
| + using UnsignedDst = typename std::make_unsigned<T>::type;
|
| + using SignedDst = typename std::make_signed<T>::type;
|
| UnsignedDst ux = static_cast<UnsignedDst>(x);
|
| UnsignedDst uy = static_cast<UnsignedDst>(y);
|
| UnsignedDst uresult = static_cast<UnsignedDst>(ux + uy);
|
| + *result = static_cast<T>(uresult);
|
| // Addition is valid if the sign of (x + y) is equal to either that of x or
|
| // that of y.
|
| - if (std::numeric_limits<T>::is_signed) {
|
| - if (HasSignBit(BinaryComplement(
|
| - static_cast<UnsignedDst>((uresult ^ ux) & (uresult ^ uy))))) {
|
| - *validity = RANGE_VALID;
|
| - } else { // Direction of wrap is inverse of result sign.
|
| - *validity = HasSignBit(uresult) ? RANGE_OVERFLOW : RANGE_UNDERFLOW;
|
| + return (std::is_signed<T>::value)
|
| + ? static_cast<SignedDst>((uresult ^ ux) & (uresult ^ uy)) >= 0
|
| + : uresult >= uy; // Unsigned is either valid or underflow.
|
| +}
|
| +
|
| +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 bool Do(T x, U y, V* result) {
|
| +#if USE_OVERFLOW_BUILTINS
|
| + return !__builtin_add_overflow(x, y, result);
|
| +#else
|
| + using Promotion = typename BigEnoughPromotion<T, U>::type;
|
| + Promotion presult;
|
| + // 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.
|
| + bool is_valid = IsValueInRangeForNumericType<Promotion>(x) &&
|
| + IsValueInRangeForNumericType<Promotion>(y);
|
| +
|
| + if (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);
|
| }
|
| - } else { // Unsigned is either valid or overflow.
|
| - *validity = BinaryComplement(x) >= y ? RANGE_VALID : RANGE_OVERFLOW;
|
| + *result = static_cast<V>(presult);
|
| + return is_valid && IsValueInRangeForNumericType<V>(presult);
|
| +#endif
|
| }
|
| - return static_cast<T>(uresult);
|
| -}
|
| +};
|
|
|
| template <typename T>
|
| -typename std::enable_if<std::numeric_limits<T>::is_integer, T>::type
|
| -CheckedSub(T x, T y, RangeConstraint* validity) {
|
| +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.
|
| - typedef typename UnsignedIntegerForSize<T>::type UnsignedDst;
|
| + using UnsignedDst = typename std::make_unsigned<T>::type;
|
| + using SignedDst = typename std::make_signed<T>::type;
|
| UnsignedDst ux = static_cast<UnsignedDst>(x);
|
| UnsignedDst uy = static_cast<UnsignedDst>(y);
|
| UnsignedDst uresult = static_cast<UnsignedDst>(ux - uy);
|
| + *result = static_cast<T>(uresult);
|
| // Subtraction is valid if either x and y have same sign, or (x-y) and x have
|
| // the same sign.
|
| - if (std::numeric_limits<T>::is_signed) {
|
| - if (HasSignBit(BinaryComplement(
|
| - static_cast<UnsignedDst>((uresult ^ ux) & (ux ^ uy))))) {
|
| - *validity = RANGE_VALID;
|
| - } else { // Direction of wrap is inverse of result sign.
|
| - *validity = HasSignBit(uresult) ? RANGE_OVERFLOW : RANGE_UNDERFLOW;
|
| + return (std::is_signed<T>::value)
|
| + ? static_cast<SignedDst>((uresult ^ ux) & (ux ^ uy)) >= 0
|
| + : x >= y;
|
| +}
|
| +
|
| +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 bool Do(T x, U y, V* result) {
|
| +#if USE_OVERFLOW_BUILTINS
|
| + return !__builtin_sub_overflow(x, y, result);
|
| +#else
|
| + using Promotion = typename BigEnoughPromotion<T, U>::type;
|
| + Promotion presult;
|
| + // 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.
|
| + bool is_valid = IsValueInRangeForNumericType<Promotion>(x) &&
|
| + IsValueInRangeForNumericType<Promotion>(y);
|
| +
|
| + if (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);
|
| }
|
| - } else { // Unsigned is either valid or underflow.
|
| - *validity = x >= y ? RANGE_VALID : RANGE_UNDERFLOW;
|
| + *result = static_cast<V>(presult);
|
| + return is_valid && IsValueInRangeForNumericType<V>(presult);
|
| +#endif
|
| }
|
| - return static_cast<T>(uresult);
|
| -}
|
| +};
|
|
|
| -// Integer multiplication is a bit complicated. In the fast case we just
|
| -// we just promote to a twice wider type, and range check the result. In the
|
| -// slow case we need to manually check that the result won't be truncated by
|
| -// checking with division against the appropriate bound.
|
| template <typename T>
|
| -typename std::enable_if<std::numeric_limits<T>::is_integer &&
|
| - sizeof(T) * 2 <= sizeof(uintmax_t),
|
| - T>::type
|
| -CheckedMul(T x, T y, RangeConstraint* validity) {
|
| - typedef typename TwiceWiderInteger<T>::type IntermediateType;
|
| - IntermediateType tmp =
|
| - static_cast<IntermediateType>(x) * static_cast<IntermediateType>(y);
|
| - *validity = DstRangeRelationToSrcRange<T>(tmp);
|
| - return static_cast<T>(tmp);
|
| +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);
|
| + UnsignedDst uresult = static_cast<UnsignedDst>(ux * uy);
|
| + const bool is_negative =
|
| + std::is_signed<T>::value && static_cast<SignedDst>(x ^ y) < 0;
|
| + *result = is_negative ? 0 - uresult : uresult;
|
| + // 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.
|
| + return uy <= UnsignedDst(!std::is_signed<T>::value || is_negative) ||
|
| + ux <= (std::numeric_limits<T>::max() + UnsignedDst(is_negative)) / uy;
|
| }
|
|
|
| -template <typename T>
|
| -typename std::enable_if<std::numeric_limits<T>::is_integer &&
|
| - std::numeric_limits<T>::is_signed &&
|
| - (sizeof(T) * 2 > sizeof(uintmax_t)),
|
| - T>::type
|
| -CheckedMul(T x, T y, RangeConstraint* validity) {
|
| - // If either side is zero then the result will be zero.
|
| - if (!x || !y) {
|
| - *validity = RANGE_VALID;
|
| - return static_cast<T>(0);
|
| - }
|
| - if (x > 0) {
|
| - if (y > 0) {
|
| - *validity =
|
| - x <= std::numeric_limits<T>::max() / y ? RANGE_VALID : RANGE_OVERFLOW;
|
| +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 bool Do(T x, U y, V* result) {
|
| +#if USE_OVERFLOW_BUILTINS
|
| +#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
|
| + static const bool kUseMaxInt =
|
| + // Narrower type than uintptr_t is always safe.
|
| + std::numeric_limits<__typeof__(x * y)>::digits <
|
| + std::numeric_limits<intptr_t>::digits ||
|
| + // Safe for intptr_t and uintptr_t if the sign matches.
|
| + (IntegerBitsPlusSign<__typeof__(x * y)>::value ==
|
| + IntegerBitsPlusSign<intptr_t>::value &&
|
| + std::is_signed<T>::value == std::is_signed<U>::value);
|
| +#else
|
| + static const bool kUseMaxInt = true;
|
| +#endif
|
| + if (kUseMaxInt)
|
| + return !__builtin_mul_overflow(x, y, result);
|
| +#endif
|
| + using Promotion = typename FastIntegerArithmeticPromotion<T, U>::type;
|
| + Promotion presult;
|
| + // 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.
|
| + bool is_valid = IsValueInRangeForNumericType<Promotion>(x) &&
|
| + IsValueInRangeForNumericType<Promotion>(y);
|
| +
|
| + if (IsIntegerArithmeticSafe<Promotion, T, U>::value) {
|
| + presult = static_cast<Promotion>(x) * static_cast<Promotion>(y);
|
| } else {
|
| - *validity = y >= std::numeric_limits<T>::min() / x ? RANGE_VALID
|
| - : RANGE_UNDERFLOW;
|
| - }
|
| - } else {
|
| - if (y > 0) {
|
| - *validity = x >= std::numeric_limits<T>::min() / y ? RANGE_VALID
|
| - : RANGE_UNDERFLOW;
|
| - } else {
|
| - *validity =
|
| - y >= std::numeric_limits<T>::max() / x ? RANGE_VALID : RANGE_OVERFLOW;
|
| + is_valid &= CheckedMulImpl(static_cast<Promotion>(x),
|
| + static_cast<Promotion>(y), &presult);
|
| }
|
| + *result = static_cast<V>(presult);
|
| + return is_valid && IsValueInRangeForNumericType<V>(presult);
|
| }
|
| - return static_cast<T>(*validity == RANGE_VALID ? x * y : 0);
|
| -}
|
| +};
|
|
|
| -template <typename T>
|
| -typename std::enable_if<std::numeric_limits<T>::is_integer &&
|
| - !std::numeric_limits<T>::is_signed &&
|
| - (sizeof(T) * 2 > sizeof(uintmax_t)),
|
| - T>::type
|
| -CheckedMul(T x, T y, RangeConstraint* validity) {
|
| - *validity = (y == 0 || x <= std::numeric_limits<T>::max() / y)
|
| - ? RANGE_VALID
|
| - : RANGE_OVERFLOW;
|
| - return static_cast<T>(*validity == RANGE_VALID ? x * y : 0);
|
| -}
|
| +// Avoid poluting the namespace once we're done with the macro.
|
| +#undef USE_OVERFLOW_BUILTINS
|
|
|
| // Division just requires a check for a zero denominator or an invalid negation
|
| // on signed min/-1.
|
| template <typename T>
|
| -T CheckedDiv(T x,
|
| - T y,
|
| - RangeConstraint* validity,
|
| - typename std::enable_if<std::numeric_limits<T>::is_integer,
|
| - int>::type = 0) {
|
| - if (y == 0) {
|
| - *validity = RANGE_INVALID;
|
| - return static_cast<T>(0);
|
| - }
|
| - if (std::numeric_limits<T>::is_signed && x == std::numeric_limits<T>::min() &&
|
| - y == static_cast<T>(-1)) {
|
| - *validity = RANGE_OVERFLOW;
|
| - return std::numeric_limits<T>::min();
|
| +bool CheckedDivImpl(T x, T y, T* result) {
|
| + static_assert(std::is_integral<T>::value, "Type must be integral");
|
| + if (y && (!std::is_signed<T>::value ||
|
| + x != std::numeric_limits<T>::lowest() || y != static_cast<T>(-1))) {
|
| + *result = x / y;
|
| + return true;
|
| }
|
| -
|
| - *validity = RANGE_VALID;
|
| - return static_cast<T>(x / y);
|
| + return false;
|
| }
|
|
|
| -template <typename T>
|
| -typename std::enable_if<std::numeric_limits<T>::is_integer &&
|
| - std::numeric_limits<T>::is_signed,
|
| - T>::type
|
| -CheckedMod(T x, T y, RangeConstraint* validity) {
|
| - *validity = y > 0 ? RANGE_VALID : RANGE_INVALID;
|
| - return static_cast<T>(*validity == RANGE_VALID ? x % y : 0);
|
| -}
|
| +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 bool Do(T x, U y, V* result) {
|
| + using Promotion = typename BigEnoughPromotion<T, U>::type;
|
| + Promotion presult;
|
| + // 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.
|
| + bool is_valid = IsValueInRangeForNumericType<Promotion>(x) &&
|
| + IsValueInRangeForNumericType<Promotion>(y);
|
| + is_valid &= CheckedDivImpl(static_cast<Promotion>(x),
|
| + static_cast<Promotion>(y), &presult);
|
| + *result = static_cast<V>(presult);
|
| + return is_valid && IsValueInRangeForNumericType<V>(presult);
|
| + }
|
| +};
|
|
|
| template <typename T>
|
| -typename std::enable_if<std::numeric_limits<T>::is_integer &&
|
| - !std::numeric_limits<T>::is_signed,
|
| - T>::type
|
| -CheckedMod(T x, T y, RangeConstraint* validity) {
|
| - *validity = y != 0 ? RANGE_VALID : RANGE_INVALID;
|
| - return static_cast<T>(*validity == RANGE_VALID ? x % y : 0);
|
| +bool CheckedModImpl(T x, T y, T* result) {
|
| + static_assert(std::is_integral<T>::value, "Type must be integral");
|
| + if (y > 0) {
|
| + *result = static_cast<T>(x % y);
|
| + return true;
|
| + }
|
| + return false;
|
| }
|
|
|
| -template <typename T>
|
| -typename std::enable_if<std::numeric_limits<T>::is_integer &&
|
| - std::numeric_limits<T>::is_signed,
|
| - T>::type
|
| -CheckedNeg(T value, RangeConstraint* validity) {
|
| - *validity =
|
| - value != std::numeric_limits<T>::min() ? RANGE_VALID : RANGE_OVERFLOW;
|
| - // The negation of signed min is min, so catch that one.
|
| - return static_cast<T>(*validity == RANGE_VALID ? -value : 0);
|
| -}
|
| +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 bool Do(T x, U y, V* result) {
|
| + using Promotion = typename BigEnoughPromotion<T, U>::type;
|
| + Promotion presult;
|
| + bool is_valid = CheckedModImpl(static_cast<Promotion>(x),
|
| + static_cast<Promotion>(y), &presult);
|
| + *result = static_cast<V>(presult);
|
| + return is_valid && IsValueInRangeForNumericType<V>(presult);
|
| + }
|
| +};
|
|
|
| -template <typename T>
|
| -typename std::enable_if<std::numeric_limits<T>::is_integer &&
|
| - !std::numeric_limits<T>::is_signed,
|
| - T>::type
|
| -CheckedNeg(T value, RangeConstraint* validity) {
|
| - // The only legal unsigned negation is zero.
|
| - *validity = value ? RANGE_UNDERFLOW : RANGE_VALID;
|
| - return static_cast<T>(
|
| - *validity == RANGE_VALID
|
| - ? -static_cast<typename SignedIntegerForSize<T>::type>(value)
|
| - : 0);
|
| -}
|
| +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 bool Do(T x, U shift, V* result) {
|
| + using ShiftType = typename std::make_unsigned<T>::type;
|
| + static const ShiftType kBitWidth = IntegerBitsPlusSign<T>::value;
|
| + const ShiftType real_shift = static_cast<ShiftType>(shift);
|
| + // Signed shift is not legal on negative values.
|
| + if (!IsValueNegative(x) && real_shift < kBitWidth) {
|
| + // Just use a multiplication because it's easy.
|
| + // TODO(jschuh): This could probably be made more efficient.
|
| + if (!std::is_signed<T>::value || real_shift != kBitWidth - 1)
|
| + return CheckedMulOp<T, T>::Do(x, static_cast<T>(1) << shift, result);
|
| + return !x; // Special case zero for a full width signed shift.
|
| + }
|
| + return false;
|
| + }
|
| +};
|
|
|
| -template <typename T>
|
| -typename std::enable_if<std::numeric_limits<T>::is_integer &&
|
| - std::numeric_limits<T>::is_signed,
|
| - T>::type
|
| -CheckedAbs(T value, RangeConstraint* validity) {
|
| - *validity =
|
| - value != std::numeric_limits<T>::min() ? RANGE_VALID : RANGE_OVERFLOW;
|
| - return static_cast<T>(*validity == RANGE_VALID ? std::abs(value) : 0);
|
| -}
|
| +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 = result_type>
|
| + static bool Do(T x, U shift, V* result) {
|
| + // Use the type conversion push negative values out of range.
|
| + using ShiftType = typename std::make_unsigned<T>::type;
|
| + if (static_cast<ShiftType>(shift) < IntegerBitsPlusSign<T>::value) {
|
| + T tmp = x >> shift;
|
| + *result = static_cast<V>(tmp);
|
| + return IsValueInRangeForNumericType<V>(tmp);
|
| + }
|
| + return false;
|
| + }
|
| +};
|
|
|
| -template <typename T>
|
| -typename std::enable_if<std::numeric_limits<T>::is_integer &&
|
| - !std::numeric_limits<T>::is_signed,
|
| - T>::type
|
| -CheckedAbs(T value, RangeConstraint* validity) {
|
| - // T is unsigned, so |value| must already be positive.
|
| - *validity = RANGE_VALID;
|
| - return value;
|
| -}
|
| +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 = result_type>
|
| + static bool Do(T x, U y, V* result) {
|
| + result_type tmp = static_cast<result_type>(x) & static_cast<result_type>(y);
|
| + *result = static_cast<V>(tmp);
|
| + return IsValueInRangeForNumericType<V>(tmp);
|
| + }
|
| +};
|
|
|
| -template <typename T>
|
| -typename std::enable_if<std::numeric_limits<T>::is_integer &&
|
| - std::numeric_limits<T>::is_signed,
|
| - typename UnsignedIntegerForSize<T>::type>::type
|
| -CheckedUnsignedAbs(T value) {
|
| - typedef typename UnsignedIntegerForSize<T>::type UnsignedT;
|
| - return value == std::numeric_limits<T>::min()
|
| - ? static_cast<UnsignedT>(std::numeric_limits<T>::max()) + 1
|
| - : static_cast<UnsignedT>(std::abs(value));
|
| -}
|
| +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 = result_type>
|
| + static bool Do(T x, U y, V* result) {
|
| + result_type tmp = static_cast<result_type>(x) | static_cast<result_type>(y);
|
| + *result = static_cast<V>(tmp);
|
| + return IsValueInRangeForNumericType<V>(tmp);
|
| + }
|
| +};
|
|
|
| -template <typename T>
|
| -typename std::enable_if<std::numeric_limits<T>::is_integer &&
|
| - !std::numeric_limits<T>::is_signed,
|
| - T>::type
|
| -CheckedUnsignedAbs(T value) {
|
| - // T is unsigned, so |value| must already be positive.
|
| - return static_cast<T>(value);
|
| -}
|
| +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 = result_type>
|
| + static bool Do(T x, U y, V* result) {
|
| + result_type tmp = static_cast<result_type>(x) ^ static_cast<result_type>(y);
|
| + *result = static_cast<V>(tmp);
|
| + return IsValueInRangeForNumericType<V>(tmp);
|
| + }
|
| +};
|
|
|
| -// These are the floating point stubs that the compiler needs to see. Only the
|
| -// negation operation is ever called.
|
| -#define BASE_FLOAT_ARITHMETIC_STUBS(NAME) \
|
| - template <typename T> \
|
| - typename std::enable_if<std::numeric_limits<T>::is_iec559, T>::type \
|
| - Checked##NAME(T, T, RangeConstraint*) { \
|
| - NOTREACHED(); \
|
| - return static_cast<T>(0); \
|
| +// 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 = result_type>
|
| + static bool Do(T x, U y, V* result) {
|
| + *result = IsGreater<T, U>::Test(x, y) ? static_cast<result_type>(x)
|
| + : static_cast<result_type>(y);
|
| + return true;
|
| }
|
| +};
|
|
|
| -BASE_FLOAT_ARITHMETIC_STUBS(Add)
|
| -BASE_FLOAT_ARITHMETIC_STUBS(Sub)
|
| -BASE_FLOAT_ARITHMETIC_STUBS(Mul)
|
| -BASE_FLOAT_ARITHMETIC_STUBS(Div)
|
| -BASE_FLOAT_ARITHMETIC_STUBS(Mod)
|
| +// 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 = result_type>
|
| + static bool Do(T x, U y, V* result) {
|
| + *result = IsLess<T, U>::Test(x, y) ? static_cast<result_type>(x)
|
| + : static_cast<result_type>(y);
|
| + return true;
|
| + }
|
| +};
|
|
|
| -#undef BASE_FLOAT_ARITHMETIC_STUBS
|
| +// 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 bool Do(T x, U y, V* result) { \
|
| + using Promotion = typename MaxExponentPromotion<T, U>::type; \
|
| + Promotion presult = x OP y; \
|
| + *result = static_cast<V>(presult); \
|
| + return IsValueInRangeForNumericType<V>(presult); \
|
| + } \
|
| + };
|
| +
|
| +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
|
| +
|
| +// 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::numeric_limits<T>::is_iec559, T>::type CheckedNeg(
|
| - T value,
|
| - RangeConstraint*) {
|
| - return static_cast<T>(-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::numeric_limits<T>::is_iec559, T>::type CheckedAbs(
|
| - T value,
|
| - RangeConstraint*) {
|
| - return static_cast<T>(std::abs(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;
|
| }
|
|
|
| // Floats carry around their validity state with them, but integers do not. So,
|
| @@ -388,10 +518,10 @@ enum NumericRepresentation {
|
| template <typename NumericType>
|
| struct GetNumericRepresentation {
|
| static const NumericRepresentation value =
|
| - std::numeric_limits<NumericType>::is_integer
|
| + std::is_integral<NumericType>::value
|
| ? NUMERIC_INTEGER
|
| - : (std::numeric_limits<NumericType>::is_iec559 ? NUMERIC_FLOATING
|
| - : NUMERIC_UNKNOWN);
|
| + : (std::is_floating_point<NumericType>::value ? NUMERIC_FLOATING
|
| + : NUMERIC_UNKNOWN);
|
| };
|
|
|
| template <typename T, NumericRepresentation type =
|
| @@ -402,41 +532,48 @@ class CheckedNumericState {};
|
| template <typename T>
|
| class CheckedNumericState<T, NUMERIC_INTEGER> {
|
| private:
|
| + // 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_;
|
| - RangeConstraint validity_ : CHAR_BIT; // Actually requires only two bits.
|
| +
|
| + // Ensures that a type conversion does not trigger undefined behavior.
|
| + template <typename Src>
|
| + static constexpr T WellDefinedConversionOrZero(const Src value,
|
| + const bool is_valid) {
|
| + using SrcType = typename internal::UnderlyingType<Src>::type;
|
| + return (std::is_integral<SrcType>::value || is_valid)
|
| + ? static_cast<T>(value)
|
| + : static_cast<T>(0);
|
| + }
|
|
|
| public:
|
| template <typename Src, NumericRepresentation type>
|
| friend class CheckedNumericState;
|
|
|
| - CheckedNumericState() : value_(0), validity_(RANGE_VALID) {}
|
| + constexpr CheckedNumericState() : is_valid_(true), value_(0) {}
|
|
|
| template <typename Src>
|
| - CheckedNumericState(Src value, RangeConstraint validity)
|
| - : value_(static_cast<T>(value)),
|
| - validity_(GetRangeConstraint(validity |
|
| - DstRangeRelationToSrcRange<T>(value))) {
|
| - static_assert(std::numeric_limits<Src>::is_specialized,
|
| - "Argument must be numeric.");
|
| + constexpr CheckedNumericState(Src value, bool is_valid)
|
| + : is_valid_(is_valid && IsValueInRangeForNumericType<T>(value)),
|
| + value_(WellDefinedConversionOrZero(value, is_valid_)) {
|
| + static_assert(std::is_arithmetic<Src>::value, "Argument must be numeric.");
|
| }
|
|
|
| // Copy constructor.
|
| template <typename Src>
|
| - CheckedNumericState(const CheckedNumericState<Src>& rhs)
|
| - : value_(static_cast<T>(rhs.value())),
|
| - validity_(GetRangeConstraint(
|
| - rhs.validity() | DstRangeRelationToSrcRange<T>(rhs.value()))) {}
|
| + constexpr CheckedNumericState(const CheckedNumericState<Src>& rhs)
|
| + : is_valid_(rhs.IsValid()),
|
| + value_(WellDefinedConversionOrZero(rhs.value(), is_valid_)) {}
|
|
|
| template <typename Src>
|
| - explicit CheckedNumericState(
|
| - Src value,
|
| - typename std::enable_if<std::numeric_limits<Src>::is_specialized,
|
| - int>::type = 0)
|
| - : value_(static_cast<T>(value)),
|
| - validity_(DstRangeRelationToSrcRange<T>(value)) {}
|
| -
|
| - RangeConstraint validity() const { return validity_; }
|
| - T value() const { return value_; }
|
| + constexpr explicit CheckedNumericState(Src value)
|
| + : is_valid_(IsValueInRangeForNumericType<T>(value)),
|
| + value_(WellDefinedConversionOrZero(value, is_valid_)) {}
|
| +
|
| + constexpr bool is_valid() const { return is_valid_; }
|
| + constexpr T value() const { return value_; }
|
| };
|
|
|
| // Floating points maintain their own validity, but need translation wrappers.
|
| @@ -445,94 +582,58 @@ class CheckedNumericState<T, NUMERIC_FLOATING> {
|
| private:
|
| T value_;
|
|
|
| + // Ensures that a type conversion does not trigger undefined behavior.
|
| + template <typename Src>
|
| + static constexpr T WellDefinedConversionOrNaN(const Src value,
|
| + const 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();
|
| + }
|
| +
|
| public:
|
| template <typename Src, NumericRepresentation type>
|
| friend class CheckedNumericState;
|
|
|
| - CheckedNumericState() : value_(0.0) {}
|
| + constexpr CheckedNumericState() : value_(0.0) {}
|
|
|
| template <typename Src>
|
| - CheckedNumericState(
|
| - Src value,
|
| - RangeConstraint validity,
|
| - typename std::enable_if<std::numeric_limits<Src>::is_integer, int>::type =
|
| - 0) {
|
| - switch (DstRangeRelationToSrcRange<T>(value)) {
|
| - case RANGE_VALID:
|
| - value_ = static_cast<T>(value);
|
| - break;
|
| -
|
| - case RANGE_UNDERFLOW:
|
| - value_ = -std::numeric_limits<T>::infinity();
|
| - break;
|
| -
|
| - case RANGE_OVERFLOW:
|
| - value_ = std::numeric_limits<T>::infinity();
|
| - break;
|
| -
|
| - case RANGE_INVALID:
|
| - value_ = std::numeric_limits<T>::quiet_NaN();
|
| - break;
|
| -
|
| - default:
|
| - NOTREACHED();
|
| - }
|
| - }
|
| + constexpr CheckedNumericState(Src value, bool is_valid)
|
| + : value_(WellDefinedConversionOrNaN(value, is_valid)) {}
|
|
|
| template <typename Src>
|
| - explicit CheckedNumericState(
|
| - Src value,
|
| - typename std::enable_if<std::numeric_limits<Src>::is_specialized,
|
| - int>::type = 0)
|
| - : value_(static_cast<T>(value)) {}
|
| + constexpr explicit CheckedNumericState(Src value)
|
| + : value_(WellDefinedConversionOrNaN(
|
| + value,
|
| + IsValueInRangeForNumericType<T>(value))) {}
|
|
|
| // Copy constructor.
|
| template <typename Src>
|
| - CheckedNumericState(const CheckedNumericState<Src>& rhs)
|
| - : value_(static_cast<T>(rhs.value())) {}
|
| -
|
| - RangeConstraint validity() const {
|
| - return GetRangeConstraint(value_ <= std::numeric_limits<T>::max(),
|
| - value_ >= -std::numeric_limits<T>::max());
|
| + constexpr CheckedNumericState(const CheckedNumericState<Src>& rhs)
|
| + : value_(WellDefinedConversionOrNaN(
|
| + rhs.value(),
|
| + rhs.is_valid() && IsValueInRangeForNumericType<T>(rhs.value()))) {}
|
| +
|
| + constexpr bool is_valid() const {
|
| + // Written this way because std::isfinite is not reliably constexpr.
|
| + // TODO(jschuh): Fix this if the libraries ever get fixed.
|
| + return value_ <= std::numeric_limits<T>::max() &&
|
| + value_ >= std::numeric_limits<T>::lowest();
|
| }
|
| - T value() const { return value_; }
|
| -};
|
| -
|
| -// For integers less than 128-bit and floats 32-bit or larger, we have the type
|
| -// with the larger maximum exponent take precedence.
|
| -enum ArithmeticPromotionCategory { LEFT_PROMOTION, RIGHT_PROMOTION };
|
| -
|
| -template <typename Lhs,
|
| - typename Rhs = Lhs,
|
| - ArithmeticPromotionCategory Promotion =
|
| - (MaxExponent<Lhs>::value > MaxExponent<Rhs>::value)
|
| - ? LEFT_PROMOTION
|
| - : RIGHT_PROMOTION>
|
| -struct ArithmeticPromotion;
|
| -
|
| -template <typename Lhs, typename Rhs>
|
| -struct ArithmeticPromotion<Lhs, Rhs, LEFT_PROMOTION> {
|
| - typedef Lhs type;
|
| -};
|
| -
|
| -template <typename Lhs, typename Rhs>
|
| -struct ArithmeticPromotion<Lhs, Rhs, RIGHT_PROMOTION> {
|
| - typedef Rhs type;
|
| + constexpr T value() const { return value_; }
|
| };
|
|
|
| -// 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>
|
| -struct IsIntegerArithmeticSafe {
|
| - static const bool value = !std::numeric_limits<T>::is_iec559 &&
|
| - StaticDstRangeRelationToSrcRange<T, Lhs>::value ==
|
| - NUMERIC_RANGE_CONTAINED &&
|
| - sizeof(T) >= (2 * sizeof(Lhs)) &&
|
| - StaticDstRangeRelationToSrcRange<T, Rhs>::value !=
|
| - NUMERIC_RANGE_CONTAINED &&
|
| - sizeof(T) >= (2 * sizeof(Rhs));
|
| +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;
|
| };
|
|
|
| } // namespace internal
|
|
|