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Unified Diff: third_party/base/numerics/safe_math_impl.h

Issue 2640143003: Update safe numerics package to get bitwise ops (Closed)
Patch Set: Address reviewer comments Created 3 years, 11 months ago
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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
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