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