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      1 // Copyright 2014 The Chromium Authors. All rights reserved.
      2 // Use of this source code is governed by a BSD-style license that can be
      3 // found in the LICENSE file.
      4 
      5 // Slightly adapted for inclusion in V8.
      6 // Copyright 2014 the V8 project authors. All rights reserved.
      7 
      8 #ifndef V8_BASE_SAFE_MATH_H_
      9 #define V8_BASE_SAFE_MATH_H_
     10 
     11 #include "src/base/safe_math_impl.h"
     12 
     13 namespace v8 {
     14 namespace base {
     15 namespace internal {
     16 
     17 // CheckedNumeric implements all the logic and operators for detecting integer
     18 // boundary conditions such as overflow, underflow, and invalid conversions.
     19 // The CheckedNumeric type implicitly converts from floating point and integer
     20 // data types, and contains overloads for basic arithmetic operations (i.e.: +,
     21 // -, *, /, %).
     22 //
     23 // The following methods convert from CheckedNumeric to standard numeric values:
     24 // IsValid() - Returns true if the underlying numeric value is valid (i.e. has
     25 //             has not wrapped and is not the result of an invalid conversion).
     26 // ValueOrDie() - Returns the underlying value. If the state is not valid this
     27 //                call will crash on a CHECK.
     28 // ValueOrDefault() - Returns the current value, or the supplied default if the
     29 //                    state is not valid.
     30 // ValueFloating() - Returns the underlying floating point value (valid only
     31 //                   only for floating point CheckedNumeric types).
     32 //
     33 // Bitwise operations are explicitly not supported, because correct
     34 // handling of some cases (e.g. sign manipulation) is ambiguous. Comparison
     35 // operations are explicitly not supported because they could result in a crash
     36 // on a CHECK condition. You should use patterns like the following for these
     37 // operations:
     38 // Bitwise operation:
     39 //     CheckedNumeric<int> checked_int = untrusted_input_value;
     40 //     int x = checked_int.ValueOrDefault(0) | kFlagValues;
     41 // Comparison:
     42 //   CheckedNumeric<size_t> checked_size;
     43 //   CheckedNumeric<int> checked_size = untrusted_input_value;
     44 //   checked_size = checked_size + HEADER LENGTH;
     45 //   if (checked_size.IsValid() && checked_size.ValueOrDie() < buffer_size)
     46 //     Do stuff...
     47 template <typename T>
     48 class CheckedNumeric {
     49  public:
     50   typedef T type;
     51 
     52   CheckedNumeric() {}
     53 
     54   // Copy constructor.
     55   template <typename Src>
     56   CheckedNumeric(const CheckedNumeric<Src>& rhs)
     57       : state_(rhs.ValueUnsafe(), rhs.validity()) {}
     58 
     59   template <typename Src>
     60   CheckedNumeric(Src value, RangeConstraint validity)
     61       : state_(value, validity) {}
     62 
     63   // This is not an explicit constructor because we implicitly upgrade regular
     64   // numerics to CheckedNumerics to make them easier to use.
     65   template <typename Src>
     66   CheckedNumeric(Src value)  // NOLINT
     67       : state_(value) {
     68     // Argument must be numeric.
     69     STATIC_ASSERT(std::numeric_limits<Src>::is_specialized);
     70   }
     71 
     72   // IsValid() is the public API to test if a CheckedNumeric is currently valid.
     73   bool IsValid() const { return validity() == RANGE_VALID; }
     74 
     75   // ValueOrDie() The primary accessor for the underlying value. If the current
     76   // state is not valid it will CHECK and crash.
     77   T ValueOrDie() const {
     78     CHECK(IsValid());
     79     return state_.value();
     80   }
     81 
     82   // ValueOrDefault(T default_value) A convenience method that returns the
     83   // current value if the state is valid, and the supplied default_value for
     84   // any other state.
     85   T ValueOrDefault(T default_value) const {
     86     return IsValid() ? state_.value() : default_value;
     87   }
     88 
     89   // ValueFloating() - Since floating point values include their validity state,
     90   // we provide an easy method for extracting them directly, without a risk of
     91   // crashing on a CHECK.
     92   T ValueFloating() const {
     93     // Argument must be a floating-point value.
     94     STATIC_ASSERT(std::numeric_limits<T>::is_iec559);
     95     return CheckedNumeric<T>::cast(*this).ValueUnsafe();
     96   }
     97 
     98   // validity() - DO NOT USE THIS IN EXTERNAL CODE - It is public right now for
     99   // tests and to avoid a big matrix of friend operator overloads. But the
    100   // values it returns are likely to change in the future.
    101   // Returns: current validity state (i.e. valid, overflow, underflow, nan).
    102   // TODO(jschuh): crbug.com/332611 Figure out and implement semantics for
    103   // saturation/wrapping so we can expose this state consistently and implement
    104   // saturated arithmetic.
    105   RangeConstraint validity() const { return state_.validity(); }
    106 
    107   // ValueUnsafe() - DO NOT USE THIS IN EXTERNAL CODE - It is public right now
    108   // for tests and to avoid a big matrix of friend operator overloads. But the
    109   // values it returns are likely to change in the future.
    110   // Returns: the raw numeric value, regardless of the current state.
    111   // TODO(jschuh): crbug.com/332611 Figure out and implement semantics for
    112   // saturation/wrapping so we can expose this state consistently and implement
    113   // saturated arithmetic.
    114   T ValueUnsafe() const { return state_.value(); }
    115 
    116   // Prototypes for the supported arithmetic operator overloads.
    117   template <typename Src> CheckedNumeric& operator+=(Src rhs);
    118   template <typename Src> CheckedNumeric& operator-=(Src rhs);
    119   template <typename Src> CheckedNumeric& operator*=(Src rhs);
    120   template <typename Src> CheckedNumeric& operator/=(Src rhs);
    121   template <typename Src> CheckedNumeric& operator%=(Src rhs);
    122 
    123   CheckedNumeric operator-() const {
    124     RangeConstraint validity;
    125     T value = CheckedNeg(state_.value(), &validity);
    126     // Negation is always valid for floating point.
    127     if (std::numeric_limits<T>::is_iec559)
    128       return CheckedNumeric<T>(value);
    129 
    130     validity = GetRangeConstraint(state_.validity() | validity);
    131     return CheckedNumeric<T>(value, validity);
    132   }
    133 
    134   CheckedNumeric Abs() const {
    135     RangeConstraint validity;
    136     T value = CheckedAbs(state_.value(), &validity);
    137     // Absolute value is always valid for floating point.
    138     if (std::numeric_limits<T>::is_iec559)
    139       return CheckedNumeric<T>(value);
    140 
    141     validity = GetRangeConstraint(state_.validity() | validity);
    142     return CheckedNumeric<T>(value, validity);
    143   }
    144 
    145   CheckedNumeric& operator++() {
    146     *this += 1;
    147     return *this;
    148   }
    149 
    150   CheckedNumeric operator++(int) {
    151     CheckedNumeric value = *this;
    152     *this += 1;
    153     return value;
    154   }
    155 
    156   CheckedNumeric& operator--() {
    157     *this -= 1;
    158     return *this;
    159   }
    160 
    161   CheckedNumeric operator--(int) {
    162     CheckedNumeric value = *this;
    163     *this -= 1;
    164     return value;
    165   }
    166 
    167   // These static methods behave like a convenience cast operator targeting
    168   // the desired CheckedNumeric type. As an optimization, a reference is
    169   // returned when Src is the same type as T.
    170   template <typename Src>
    171   static CheckedNumeric<T> cast(
    172       Src u,
    173       typename enable_if<std::numeric_limits<Src>::is_specialized, int>::type =
    174           0) {
    175     return u;
    176   }
    177 
    178   template <typename Src>
    179   static CheckedNumeric<T> cast(
    180       const CheckedNumeric<Src>& u,
    181       typename enable_if<!is_same<Src, T>::value, int>::type = 0) {
    182     return u;
    183   }
    184 
    185   static const CheckedNumeric<T>& cast(const CheckedNumeric<T>& u) { return u; }
    186 
    187  private:
    188   CheckedNumericState<T> state_;
    189 };
    190 
    191 // This is the boilerplate for the standard arithmetic operator overloads. A
    192 // macro isn't the prettiest solution, but it beats rewriting these five times.
    193 // Some details worth noting are:
    194 //  * We apply the standard arithmetic promotions.
    195 //  * We skip range checks for floating points.
    196 //  * We skip range checks for destination integers with sufficient range.
    197 // TODO(jschuh): extract these out into templates.
    198 #define BASE_NUMERIC_ARITHMETIC_OPERATORS(NAME, OP, COMPOUND_OP)              \
    199   /* Binary arithmetic operator for CheckedNumerics of the same type. */      \
    200   template <typename T>                                                       \
    201   CheckedNumeric<typename ArithmeticPromotion<T>::type> operator OP(          \
    202       const CheckedNumeric<T>& lhs, const CheckedNumeric<T>& rhs) {           \
    203     typedef typename ArithmeticPromotion<T>::type Promotion;                  \
    204     /* Floating point always takes the fast path */                           \
    205     if (std::numeric_limits<T>::is_iec559)                                    \
    206       return CheckedNumeric<T>(lhs.ValueUnsafe() OP rhs.ValueUnsafe());       \
    207     if (IsIntegerArithmeticSafe<Promotion, T, T>::value)                      \
    208       return CheckedNumeric<Promotion>(                                       \
    209           lhs.ValueUnsafe() OP rhs.ValueUnsafe(),                             \
    210           GetRangeConstraint(rhs.validity() | lhs.validity()));               \
    211     RangeConstraint validity = RANGE_VALID;                                   \
    212     T result = Checked##NAME(static_cast<Promotion>(lhs.ValueUnsafe()),       \
    213                              static_cast<Promotion>(rhs.ValueUnsafe()),       \
    214                              &validity);                                      \
    215     return CheckedNumeric<Promotion>(                                         \
    216         result,                                                               \
    217         GetRangeConstraint(validity | lhs.validity() | rhs.validity()));      \
    218   }                                                                           \
    219   /* Assignment arithmetic operator implementation from CheckedNumeric. */    \
    220   template <typename T>                                                       \
    221   template <typename Src>                                                     \
    222   CheckedNumeric<T>& CheckedNumeric<T>::operator COMPOUND_OP(Src rhs) {       \
    223     *this = CheckedNumeric<T>::cast(*this) OP CheckedNumeric<Src>::cast(rhs); \
    224     return *this;                                                             \
    225   }                                                                           \
    226   /* Binary arithmetic operator for CheckedNumeric of different type. */      \
    227   template <typename T, typename Src>                                         \
    228   CheckedNumeric<typename ArithmeticPromotion<T, Src>::type> operator OP(     \
    229       const CheckedNumeric<Src>& lhs, const CheckedNumeric<T>& rhs) {         \
    230     typedef typename ArithmeticPromotion<T, Src>::type Promotion;             \
    231     if (IsIntegerArithmeticSafe<Promotion, T, Src>::value)                    \
    232       return CheckedNumeric<Promotion>(                                       \
    233           lhs.ValueUnsafe() OP rhs.ValueUnsafe(),                             \
    234           GetRangeConstraint(rhs.validity() | lhs.validity()));               \
    235     return CheckedNumeric<Promotion>::cast(lhs)                               \
    236         OP CheckedNumeric<Promotion>::cast(rhs);                              \
    237   }                                                                           \
    238   /* Binary arithmetic operator for left CheckedNumeric and right numeric. */ \
    239   template <typename T, typename Src>                                         \
    240   CheckedNumeric<typename ArithmeticPromotion<T, Src>::type> operator OP(     \
    241       const CheckedNumeric<T>& lhs, Src rhs) {                                \
    242     typedef typename ArithmeticPromotion<T, Src>::type Promotion;             \
    243     if (IsIntegerArithmeticSafe<Promotion, T, Src>::value)                    \
    244       return CheckedNumeric<Promotion>(lhs.ValueUnsafe() OP rhs,              \
    245                                        lhs.validity());                       \
    246     return CheckedNumeric<Promotion>::cast(lhs)                               \
    247         OP CheckedNumeric<Promotion>::cast(rhs);                              \
    248   }                                                                           \
    249   /* Binary arithmetic operator for right numeric and left CheckedNumeric. */ \
    250   template <typename T, typename Src>                                         \
    251   CheckedNumeric<typename ArithmeticPromotion<T, Src>::type> operator OP(     \
    252       Src lhs, const CheckedNumeric<T>& rhs) {                                \
    253     typedef typename ArithmeticPromotion<T, Src>::type Promotion;             \
    254     if (IsIntegerArithmeticSafe<Promotion, T, Src>::value)                    \
    255       return CheckedNumeric<Promotion>(lhs OP rhs.ValueUnsafe(),              \
    256                                        rhs.validity());                       \
    257     return CheckedNumeric<Promotion>::cast(lhs)                               \
    258         OP CheckedNumeric<Promotion>::cast(rhs);                              \
    259   }
    260 
    261 BASE_NUMERIC_ARITHMETIC_OPERATORS(Add, +, += )
    262 BASE_NUMERIC_ARITHMETIC_OPERATORS(Sub, -, -= )
    263 BASE_NUMERIC_ARITHMETIC_OPERATORS(Mul, *, *= )
    264 BASE_NUMERIC_ARITHMETIC_OPERATORS(Div, /, /= )
    265 BASE_NUMERIC_ARITHMETIC_OPERATORS(Mod, %, %= )
    266 
    267 #undef BASE_NUMERIC_ARITHMETIC_OPERATORS
    268 
    269 }  // namespace internal
    270 
    271 using internal::CheckedNumeric;
    272 
    273 }  // namespace base
    274 }  // namespace v8
    275 
    276 #endif  // V8_BASE_SAFE_MATH_H_
    277