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1 // Copyright 2017 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_NUMERICS_CHECKED_MATH_H_
6 #define BASE_NUMERICS_CHECKED_MATH_H_
7 
8 #include <stddef.h>
9 
10 #include <limits>
11 #include <type_traits>
12 
13 #include "base/numerics/checked_math_impl.h"
14 
15 namespace base {
16 namespace internal {
17 
18 template <typename T>
19 class CheckedNumeric {
20   static_assert(std::is_arithmetic<T>::value,
21                 "CheckedNumeric<T>: T must be a numeric type.");
22 
23  public:
24   using type = T;
25 
26   constexpr CheckedNumeric() = default;
27 
28   // Copy constructor.
29   template <typename Src>
CheckedNumeric(const CheckedNumeric<Src> & rhs)30   constexpr CheckedNumeric(const CheckedNumeric<Src>& rhs)
31       : state_(rhs.state_.value(), rhs.IsValid()) {}
32 
33   template <typename Src>
34   friend class CheckedNumeric;
35 
36   // This is not an explicit constructor because we implicitly upgrade regular
37   // numerics to CheckedNumerics to make them easier to use.
38   template <typename Src>
CheckedNumeric(Src value)39   constexpr CheckedNumeric(Src value)  // NOLINT(runtime/explicit)
40       : state_(value) {
41     static_assert(std::is_arithmetic<Src>::value, "Argument must be numeric.");
42   }
43 
44   // This is not an explicit constructor because we want a seamless conversion
45   // from StrictNumeric types.
46   template <typename Src>
CheckedNumeric(StrictNumeric<Src> value)47   constexpr CheckedNumeric(
48       StrictNumeric<Src> value)  // NOLINT(runtime/explicit)
49       : state_(static_cast<Src>(value)) {}
50 
51   // IsValid() - The public API to test if a CheckedNumeric is currently valid.
52   // A range checked destination type can be supplied using the Dst template
53   // parameter.
54   template <typename Dst = T>
IsValid()55   constexpr bool IsValid() const {
56     return state_.is_valid() &&
57            IsValueInRangeForNumericType<Dst>(state_.value());
58   }
59 
60   // AssignIfValid(Dst) - Assigns the underlying value if it is currently valid
61   // and is within the range supported by the destination type. Returns true if
62   // successful and false otherwise.
63   template <typename Dst>
64 #if defined(__clang__) || defined(__GNUC__)
65   __attribute__((warn_unused_result))
66 #elif defined(_MSC_VER)
67   _Check_return_
68 #endif
69   constexpr bool
AssignIfValid(Dst * result)70   AssignIfValid(Dst* result) const {
71     return BASE_NUMERICS_LIKELY(IsValid<Dst>())
72                ? ((*result = static_cast<Dst>(state_.value())), true)
73                : false;
74   }
75 
76   // ValueOrDie() - The primary accessor for the underlying value. If the
77   // current state is not valid it will CHECK and crash.
78   // A range checked destination type can be supplied using the Dst template
79   // parameter, which will trigger a CHECK if the value is not in bounds for
80   // the destination.
81   // The CHECK behavior can be overridden by supplying a handler as a
82   // template parameter, for test code, etc. However, the handler cannot access
83   // the underlying value, and it is not available through other means.
84   template <typename Dst = T, class CheckHandler = CheckOnFailure>
ValueOrDie()85   constexpr StrictNumeric<Dst> ValueOrDie() const {
86     return BASE_NUMERICS_LIKELY(IsValid<Dst>())
87                ? static_cast<Dst>(state_.value())
88                : CheckHandler::template HandleFailure<Dst>();
89   }
90 
91   // ValueOrDefault(T default_value) - A convenience method that returns the
92   // current value if the state is valid, and the supplied default_value for
93   // any other state.
94   // A range checked destination type can be supplied using the Dst template
95   // parameter. WARNING: This function may fail to compile or CHECK at runtime
96   // if the supplied default_value is not within range of the destination type.
97   template <typename Dst = T, typename Src>
ValueOrDefault(const Src default_value)98   constexpr StrictNumeric<Dst> ValueOrDefault(const Src default_value) const {
99     return BASE_NUMERICS_LIKELY(IsValid<Dst>())
100                ? static_cast<Dst>(state_.value())
101                : checked_cast<Dst>(default_value);
102   }
103 
104   // Returns a checked numeric of the specified type, cast from the current
105   // CheckedNumeric. If the current state is invalid or the destination cannot
106   // represent the result then the returned CheckedNumeric will be invalid.
107   template <typename Dst>
Cast()108   constexpr CheckedNumeric<typename UnderlyingType<Dst>::type> Cast() const {
109     return *this;
110   }
111 
112   // This friend method is available solely for providing more detailed logging
113   // in the the tests. Do not implement it in production code, because the
114   // underlying values may change at any time.
115   template <typename U>
116   friend U GetNumericValueForTest(const CheckedNumeric<U>& src);
117 
118   // Prototypes for the supported arithmetic operator overloads.
119   template <typename Src>
120   constexpr CheckedNumeric& operator+=(const Src rhs);
121   template <typename Src>
122   constexpr CheckedNumeric& operator-=(const Src rhs);
123   template <typename Src>
124   constexpr CheckedNumeric& operator*=(const Src rhs);
125   template <typename Src>
126   constexpr CheckedNumeric& operator/=(const Src rhs);
127   template <typename Src>
128   constexpr CheckedNumeric& operator%=(const Src rhs);
129   template <typename Src>
130   constexpr CheckedNumeric& operator<<=(const Src rhs);
131   template <typename Src>
132   constexpr CheckedNumeric& operator>>=(const Src rhs);
133   template <typename Src>
134   constexpr CheckedNumeric& operator&=(const Src rhs);
135   template <typename Src>
136   constexpr CheckedNumeric& operator|=(const Src rhs);
137   template <typename Src>
138   constexpr CheckedNumeric& operator^=(const Src rhs);
139 
140   constexpr CheckedNumeric operator-() const {
141     // The negation of two's complement int min is int min, so we simply
142     // check for that in the constexpr case.
143     // We use an optimized code path for a known run-time variable.
144     return MustTreatAsConstexpr(state_.value()) || !std::is_signed<T>::value ||
145                    std::is_floating_point<T>::value
146                ? CheckedNumeric<T>(
147                      NegateWrapper(state_.value()),
148                      IsValid() && (!std::is_signed<T>::value ||
149                                    std::is_floating_point<T>::value ||
150                                    NegateWrapper(state_.value()) !=
151                                        std::numeric_limits<T>::lowest()))
152                : FastRuntimeNegate();
153   }
154 
155   constexpr CheckedNumeric operator~() const {
156     return CheckedNumeric<decltype(InvertWrapper(T()))>(
157         InvertWrapper(state_.value()), IsValid());
158   }
159 
Abs()160   constexpr CheckedNumeric Abs() const {
161     return !IsValueNegative(state_.value()) ? *this : -*this;
162   }
163 
164   template <typename U>
Max(const U rhs)165   constexpr CheckedNumeric<typename MathWrapper<CheckedMaxOp, T, U>::type> Max(
166       const U rhs) const {
167     using R = typename UnderlyingType<U>::type;
168     using result_type = typename MathWrapper<CheckedMaxOp, T, U>::type;
169     // TODO(jschuh): This can be converted to the MathOp version and remain
170     // constexpr once we have C++14 support.
171     return CheckedNumeric<result_type>(
172         static_cast<result_type>(
173             IsGreater<T, R>::Test(state_.value(), Wrapper<U>::value(rhs))
174                 ? state_.value()
175                 : Wrapper<U>::value(rhs)),
176         state_.is_valid() && Wrapper<U>::is_valid(rhs));
177   }
178 
179   template <typename U>
Min(const U rhs)180   constexpr CheckedNumeric<typename MathWrapper<CheckedMinOp, T, U>::type> Min(
181       const U rhs) const {
182     using R = typename UnderlyingType<U>::type;
183     using result_type = typename MathWrapper<CheckedMinOp, T, U>::type;
184     // TODO(jschuh): This can be converted to the MathOp version and remain
185     // constexpr once we have C++14 support.
186     return CheckedNumeric<result_type>(
187         static_cast<result_type>(
188             IsLess<T, R>::Test(state_.value(), Wrapper<U>::value(rhs))
189                 ? state_.value()
190                 : Wrapper<U>::value(rhs)),
191         state_.is_valid() && Wrapper<U>::is_valid(rhs));
192   }
193 
194   // This function is available only for integral types. It returns an unsigned
195   // integer of the same width as the source type, containing the absolute value
196   // of the source, and properly handling signed min.
197   constexpr CheckedNumeric<typename UnsignedOrFloatForSize<T>::type>
UnsignedAbs()198   UnsignedAbs() const {
199     return CheckedNumeric<typename UnsignedOrFloatForSize<T>::type>(
200         SafeUnsignedAbs(state_.value()), state_.is_valid());
201   }
202 
203   constexpr CheckedNumeric& operator++() {
204     *this += 1;
205     return *this;
206   }
207 
208   constexpr CheckedNumeric operator++(int) {
209     CheckedNumeric value = *this;
210     *this += 1;
211     return value;
212   }
213 
214   constexpr CheckedNumeric& operator--() {
215     *this -= 1;
216     return *this;
217   }
218 
219   constexpr CheckedNumeric operator--(int) {
220     CheckedNumeric value = *this;
221     *this -= 1;
222     return value;
223   }
224 
225   // These perform the actual math operations on the CheckedNumerics.
226   // Binary arithmetic operations.
227   template <template <typename, typename, typename> class M,
228             typename L,
229             typename R>
MathOp(const L lhs,const R rhs)230   static constexpr CheckedNumeric MathOp(const L lhs, const R rhs) {
231     using Math = typename MathWrapper<M, L, R>::math;
232     T result = 0;
233     bool is_valid =
234         Wrapper<L>::is_valid(lhs) && Wrapper<R>::is_valid(rhs) &&
235         Math::Do(Wrapper<L>::value(lhs), Wrapper<R>::value(rhs), &result);
236     return CheckedNumeric<T>(result, is_valid);
237   }
238 
239   // Assignment arithmetic operations.
240   template <template <typename, typename, typename> class M, typename R>
MathOp(const R rhs)241   constexpr CheckedNumeric& MathOp(const R rhs) {
242     using Math = typename MathWrapper<M, T, R>::math;
243     T result = 0;  // Using T as the destination saves a range check.
244     bool is_valid = state_.is_valid() && Wrapper<R>::is_valid(rhs) &&
245                     Math::Do(state_.value(), Wrapper<R>::value(rhs), &result);
246     *this = CheckedNumeric<T>(result, is_valid);
247     return *this;
248   }
249 
250  private:
251   CheckedNumericState<T> state_;
252 
FastRuntimeNegate()253   CheckedNumeric FastRuntimeNegate() const {
254     T result;
255     bool success = CheckedSubOp<T, T>::Do(T(0), state_.value(), &result);
256     return CheckedNumeric<T>(result, IsValid() && success);
257   }
258 
259   template <typename Src>
CheckedNumeric(Src value,bool is_valid)260   constexpr CheckedNumeric(Src value, bool is_valid)
261       : state_(value, is_valid) {}
262 
263   // These wrappers allow us to handle state the same way for both
264   // CheckedNumeric and POD arithmetic types.
265   template <typename Src>
266   struct Wrapper {
is_validWrapper267     static constexpr bool is_valid(Src) { return true; }
valueWrapper268     static constexpr Src value(Src value) { return value; }
269   };
270 
271   template <typename Src>
272   struct Wrapper<CheckedNumeric<Src>> {
273     static constexpr bool is_valid(const CheckedNumeric<Src> v) {
274       return v.IsValid();
275     }
276     static constexpr Src value(const CheckedNumeric<Src> v) {
277       return v.state_.value();
278     }
279   };
280 
281   template <typename Src>
282   struct Wrapper<StrictNumeric<Src>> {
283     static constexpr bool is_valid(const StrictNumeric<Src>) { return true; }
284     static constexpr Src value(const StrictNumeric<Src> v) {
285       return static_cast<Src>(v);
286     }
287   };
288 };
289 
290 // Convenience functions to avoid the ugly template disambiguator syntax.
291 template <typename Dst, typename Src>
292 constexpr bool IsValidForType(const CheckedNumeric<Src> value) {
293   return value.template IsValid<Dst>();
294 }
295 
296 template <typename Dst, typename Src>
297 constexpr StrictNumeric<Dst> ValueOrDieForType(
298     const CheckedNumeric<Src> value) {
299   return value.template ValueOrDie<Dst>();
300 }
301 
302 template <typename Dst, typename Src, typename Default>
303 constexpr StrictNumeric<Dst> ValueOrDefaultForType(
304     const CheckedNumeric<Src> value,
305     const Default default_value) {
306   return value.template ValueOrDefault<Dst>(default_value);
307 }
308 
309 // Convience wrapper to return a new CheckedNumeric from the provided arithmetic
310 // or CheckedNumericType.
311 template <typename T>
312 constexpr CheckedNumeric<typename UnderlyingType<T>::type> MakeCheckedNum(
313     const T value) {
314   return value;
315 }
316 
317 // These implement the variadic wrapper for the math operations.
318 template <template <typename, typename, typename> class M,
319           typename L,
320           typename R>
321 constexpr CheckedNumeric<typename MathWrapper<M, L, R>::type> CheckMathOp(
322     const L lhs,
323     const R rhs) {
324   using Math = typename MathWrapper<M, L, R>::math;
325   return CheckedNumeric<typename Math::result_type>::template MathOp<M>(lhs,
326                                                                         rhs);
327 }
328 
329 // General purpose wrapper template for arithmetic operations.
330 template <template <typename, typename, typename> class M,
331           typename L,
332           typename R,
333           typename... Args>
334 constexpr CheckedNumeric<typename ResultType<M, L, R, Args...>::type>
335 CheckMathOp(const L lhs, const R rhs, const Args... args) {
336   return CheckMathOp<M>(CheckMathOp<M>(lhs, rhs), args...);
337 }
338 
339 BASE_NUMERIC_ARITHMETIC_OPERATORS(Checked, Check, Add, +, +=)
340 BASE_NUMERIC_ARITHMETIC_OPERATORS(Checked, Check, Sub, -, -=)
341 BASE_NUMERIC_ARITHMETIC_OPERATORS(Checked, Check, Mul, *, *=)
342 BASE_NUMERIC_ARITHMETIC_OPERATORS(Checked, Check, Div, /, /=)
343 BASE_NUMERIC_ARITHMETIC_OPERATORS(Checked, Check, Mod, %, %=)
344 BASE_NUMERIC_ARITHMETIC_OPERATORS(Checked, Check, Lsh, <<, <<=)
345 BASE_NUMERIC_ARITHMETIC_OPERATORS(Checked, Check, Rsh, >>, >>=)
346 BASE_NUMERIC_ARITHMETIC_OPERATORS(Checked, Check, And, &, &=)
347 BASE_NUMERIC_ARITHMETIC_OPERATORS(Checked, Check, Or, |, |=)
348 BASE_NUMERIC_ARITHMETIC_OPERATORS(Checked, Check, Xor, ^, ^=)
349 BASE_NUMERIC_ARITHMETIC_VARIADIC(Checked, Check, Max)
350 BASE_NUMERIC_ARITHMETIC_VARIADIC(Checked, Check, Min)
351 
352 // These are some extra StrictNumeric operators to support simple pointer
353 // arithmetic with our result types. Since wrapping on a pointer is always
354 // bad, we trigger the CHECK condition here.
355 template <typename L, typename R>
356 L* operator+(L* lhs, const StrictNumeric<R> rhs) {
357   uintptr_t result = CheckAdd(reinterpret_cast<uintptr_t>(lhs),
358                               CheckMul(sizeof(L), static_cast<R>(rhs)))
359                          .template ValueOrDie<uintptr_t>();
360   return reinterpret_cast<L*>(result);
361 }
362 
363 template <typename L, typename R>
364 L* operator-(L* lhs, const StrictNumeric<R> rhs) {
365   uintptr_t result = CheckSub(reinterpret_cast<uintptr_t>(lhs),
366                               CheckMul(sizeof(L), static_cast<R>(rhs)))
367                          .template ValueOrDie<uintptr_t>();
368   return reinterpret_cast<L*>(result);
369 }
370 
371 }  // namespace internal
372 
373 using internal::CheckedNumeric;
374 using internal::IsValidForType;
375 using internal::ValueOrDieForType;
376 using internal::ValueOrDefaultForType;
377 using internal::MakeCheckedNum;
378 using internal::CheckMax;
379 using internal::CheckMin;
380 using internal::CheckAdd;
381 using internal::CheckSub;
382 using internal::CheckMul;
383 using internal::CheckDiv;
384 using internal::CheckMod;
385 using internal::CheckLsh;
386 using internal::CheckRsh;
387 using internal::CheckAnd;
388 using internal::CheckOr;
389 using internal::CheckXor;
390 
391 }  // namespace base
392 
393 #endif  // BASE_NUMERICS_CHECKED_MATH_H_
394