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 13namespace v8 { 14namespace base { 15namespace 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... 47template <typename T> 48class 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 261BASE_NUMERIC_ARITHMETIC_OPERATORS(Add, +, += ) 262BASE_NUMERIC_ARITHMETIC_OPERATORS(Sub, -, -= ) 263BASE_NUMERIC_ARITHMETIC_OPERATORS(Mul, *, *= ) 264BASE_NUMERIC_ARITHMETIC_OPERATORS(Div, /, /= ) 265BASE_NUMERIC_ARITHMETIC_OPERATORS(Mod, %, %= ) 266 267#undef BASE_NUMERIC_ARITHMETIC_OPERATORS 268 269} // namespace internal 270 271using internal::CheckedNumeric; 272 273} // namespace base 274} // namespace v8 275 276#endif // V8_BASE_SAFE_MATH_H_ 277