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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 "anglebase/numerics/checked_math_impl.h"
14 
15 namespace angle
16 {
17 namespace base
18 {
19 namespace internal
20 {
21 
22 template <typename T>
23 class CheckedNumeric
24 {
25     static_assert(std::is_arithmetic<T>::value, "CheckedNumeric<T>: T must be a numeric type.");
26 
27   public:
28     template <typename Src>
29     friend class CheckedNumeric;
30 
31     using type = T;
32 
33     constexpr CheckedNumeric() = default;
34 
35     // Copy constructor.
36     template <typename Src>
CheckedNumeric(const CheckedNumeric<Src> & rhs)37     constexpr CheckedNumeric(const CheckedNumeric<Src> &rhs)
38         : state_(rhs.state_.value(), rhs.IsValid())
39     {}
40 
41     // This is not an explicit constructor because we implicitly upgrade regular
42     // numerics to CheckedNumerics to make them easier to use.
43     template <typename Src>
CheckedNumeric(Src value)44     constexpr CheckedNumeric(Src value)  // NOLINT(runtime/explicit)
45         : state_(value)
46     {
47         static_assert(std::is_arithmetic<Src>::value, "Argument must be numeric.");
48     }
49 
50     // This is not an explicit constructor because we want a seamless conversion
51     // from StrictNumeric types.
52     template <typename Src>
CheckedNumeric(StrictNumeric<Src> value)53     constexpr CheckedNumeric(StrictNumeric<Src> value)  // NOLINT(runtime/explicit)
54         : state_(static_cast<Src>(value))
55     {}
56 
57     // IsValid() - The public API to test if a CheckedNumeric is currently valid.
58     // A range checked destination type can be supplied using the Dst template
59     // parameter.
60     template <typename Dst = T>
IsValid()61     constexpr bool IsValid() const
62     {
63         return state_.is_valid() && IsValueInRangeForNumericType<Dst>(state_.value());
64     }
65 
66     // AssignIfValid(Dst) - Assigns the underlying value if it is currently valid
67     // and is within the range supported by the destination type. Returns true if
68     // successful and false otherwise.
69     template <typename Dst>
70 #if defined(__clang__) || defined(__GNUC__)
71     __attribute__((warn_unused_result))
72 #elif defined(_MSC_VER)
73     _Check_return_
74 #endif
75     constexpr bool
AssignIfValid(Dst * result)76     AssignIfValid(Dst *result) const
77     {
78         return BASE_NUMERICS_LIKELY(IsValid<Dst>())
79                    ? ((*result = static_cast<Dst>(state_.value())), true)
80                    : false;
81     }
82 
83     // ValueOrDie() - The primary accessor for the underlying value. If the
84     // current state is not valid it will CHECK and crash.
85     // A range checked destination type can be supplied using the Dst template
86     // parameter, which will trigger a CHECK if the value is not in bounds for
87     // the destination.
88     // The CHECK behavior can be overridden by supplying a handler as a
89     // template parameter, for test code, etc. However, the handler cannot access
90     // the underlying value, and it is not available through other means.
91     template <typename Dst = T, class CheckHandler = CheckOnFailure>
ValueOrDie()92     constexpr StrictNumeric<Dst> ValueOrDie() const
93     {
94         return BASE_NUMERICS_LIKELY(IsValid<Dst>()) ? static_cast<Dst>(state_.value())
95                                                     : CheckHandler::template HandleFailure<Dst>();
96     }
97 
98     // ValueOrDefault(T default_value) - A convenience method that returns the
99     // current value if the state is valid, and the supplied default_value for
100     // any other state.
101     // A range checked destination type can be supplied using the Dst template
102     // parameter. WARNING: This function may fail to compile or CHECK at runtime
103     // if the supplied default_value is not within range of the destination type.
104     template <typename Dst = T, typename Src>
ValueOrDefault(const Src default_value)105     constexpr StrictNumeric<Dst> ValueOrDefault(const Src default_value) const
106     {
107         return BASE_NUMERICS_LIKELY(IsValid<Dst>()) ? static_cast<Dst>(state_.value())
108                                                     : checked_cast<Dst>(default_value);
109     }
110 
111     // Returns a checked numeric of the specified type, cast from the current
112     // CheckedNumeric. If the current state is invalid or the destination cannot
113     // represent the result then the returned CheckedNumeric will be invalid.
114     template <typename Dst>
Cast()115     constexpr CheckedNumeric<typename UnderlyingType<Dst>::type> Cast() const
116     {
117         return *this;
118     }
119 
120     // This friend method is available solely for providing more detailed logging
121     // in the tests. Do not implement it in production code, because the
122     // underlying values may change at any time.
123     template <typename U>
124     friend U GetNumericValueForTest(const CheckedNumeric<U> &src);
125 
126     // Prototypes for the supported arithmetic operator overloads.
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     template <typename Src>
140     constexpr CheckedNumeric &operator>>=(const Src rhs);
141     template <typename Src>
142     constexpr CheckedNumeric &operator&=(const Src rhs);
143     template <typename Src>
144     constexpr CheckedNumeric &operator|=(const Src rhs);
145     template <typename Src>
146     constexpr CheckedNumeric &operator^=(const Src rhs);
147 
148     constexpr CheckedNumeric operator-() const
149     {
150         // Use an optimized code path for a known run-time variable.
151         if (!MustTreatAsConstexpr(state_.value()) && std::is_signed<T>::value &&
152             std::is_floating_point<T>::value)
153         {
154             return FastRuntimeNegate();
155         }
156         // The negation of two's complement int min is int min.
157         const bool is_valid =
158             IsValid() && (!std::is_signed<T>::value || std::is_floating_point<T>::value ||
159                           NegateWrapper(state_.value()) != std::numeric_limits<T>::lowest());
160         return CheckedNumeric<T>(NegateWrapper(state_.value()), is_valid);
161     }
162 
163     constexpr CheckedNumeric operator~() const
164     {
165         return CheckedNumeric<decltype(InvertWrapper(T()))>(InvertWrapper(state_.value()),
166                                                             IsValid());
167     }
168 
Abs()169     constexpr CheckedNumeric Abs() const
170     {
171         return !IsValueNegative(state_.value()) ? *this : -*this;
172     }
173 
174     template <typename U>
Max(const U rhs)175     constexpr CheckedNumeric<typename MathWrapper<CheckedMaxOp, T, U>::type> Max(const U rhs) const
176     {
177         return CheckMax(*this, rhs);
178     }
179 
180     template <typename U>
Min(const U rhs)181     constexpr CheckedNumeric<typename MathWrapper<CheckedMinOp, T, U>::type> Min(const U rhs) const
182     {
183         return CheckMin(*this, rhs);
184     }
185 
186     // This function is available only for integral types. It returns an unsigned
187     // integer of the same width as the source type, containing the absolute value
188     // of the source, and properly handling signed min.
UnsignedAbs()189     constexpr CheckedNumeric<typename UnsignedOrFloatForSize<T>::type> UnsignedAbs() const
190     {
191         return CheckedNumeric<typename UnsignedOrFloatForSize<T>::type>(
192             SafeUnsignedAbs(state_.value()), state_.is_valid());
193     }
194 
195     constexpr CheckedNumeric &operator++()
196     {
197         *this += 1;
198         return *this;
199     }
200 
201     constexpr CheckedNumeric operator++(int)
202     {
203         CheckedNumeric value = *this;
204         *this += 1;
205         return value;
206     }
207 
208     constexpr CheckedNumeric &operator--()
209     {
210         *this -= 1;
211         return *this;
212     }
213 
214     constexpr CheckedNumeric operator--(int)
215     {
216         // TODO(pkasting): Consider std::exchange() once it's constexpr in C++20.
217         const CheckedNumeric value = *this;
218         *this -= 1;
219         return value;
220     }
221 
222     // These perform the actual math operations on the CheckedNumerics.
223     // Binary arithmetic operations.
224     template <template <typename, typename, typename> class M, typename L, typename R>
MathOp(const L lhs,const R rhs)225     static constexpr CheckedNumeric MathOp(const L lhs, const R rhs)
226     {
227         using Math          = typename MathWrapper<M, L, R>::math;
228         T result            = 0;
229         const bool is_valid = Wrapper<L>::is_valid(lhs) && Wrapper<R>::is_valid(rhs) &&
230                               Math::Do(Wrapper<L>::value(lhs), Wrapper<R>::value(rhs), &result);
231         return CheckedNumeric<T>(result, is_valid);
232     }
233 
234     // Assignment arithmetic operations.
235     template <template <typename, typename, typename> class M, typename R>
MathOp(const R rhs)236     constexpr CheckedNumeric &MathOp(const R rhs)
237     {
238         using Math          = typename MathWrapper<M, T, R>::math;
239         T result            = 0;  // Using T as the destination saves a range check.
240         const bool is_valid = state_.is_valid() && Wrapper<R>::is_valid(rhs) &&
241                               Math::Do(state_.value(), Wrapper<R>::value(rhs), &result);
242         *this = CheckedNumeric<T>(result, is_valid);
243         return *this;
244     }
245 
246   private:
247     CheckedNumericState<T> state_;
248 
FastRuntimeNegate()249     CheckedNumeric FastRuntimeNegate() const
250     {
251         T result;
252         const bool success = CheckedSubOp<T, T>::Do(T(0), state_.value(), &result);
253         return CheckedNumeric<T>(result, IsValid() && success);
254     }
255 
256     template <typename Src>
CheckedNumeric(Src value,bool is_valid)257     constexpr CheckedNumeric(Src value, bool is_valid) : state_(value, is_valid)
258     {}
259 
260     // These wrappers allow us to handle state the same way for both
261     // CheckedNumeric and POD arithmetic types.
262     template <typename Src>
263     struct Wrapper
264     {
is_validWrapper265         static constexpr bool is_valid(Src) { return true; }
valueWrapper266         static constexpr Src value(Src value) { return value; }
267     };
268 
269     template <typename Src>
270     struct Wrapper<CheckedNumeric<Src>>
271     {
272         static constexpr bool is_valid(const CheckedNumeric<Src> v) { return v.IsValid(); }
273         static constexpr Src value(const CheckedNumeric<Src> v) { return v.state_.value(); }
274     };
275 
276     template <typename Src>
277     struct Wrapper<StrictNumeric<Src>>
278     {
279         static constexpr bool is_valid(const StrictNumeric<Src>) { return true; }
280         static constexpr Src value(const StrictNumeric<Src> v) { return static_cast<Src>(v); }
281     };
282 };
283 
284 // Convenience functions to avoid the ugly template disambiguator syntax.
285 template <typename Dst, typename Src>
286 constexpr bool IsValidForType(const CheckedNumeric<Src> value)
287 {
288     return value.template IsValid<Dst>();
289 }
290 
291 template <typename Dst, typename Src>
292 constexpr StrictNumeric<Dst> ValueOrDieForType(const CheckedNumeric<Src> value)
293 {
294     return value.template ValueOrDie<Dst>();
295 }
296 
297 template <typename Dst, typename Src, typename Default>
298 constexpr StrictNumeric<Dst> ValueOrDefaultForType(const CheckedNumeric<Src> value,
299                                                    const Default default_value)
300 {
301     return value.template ValueOrDefault<Dst>(default_value);
302 }
303 
304 // Convience wrapper to return a new CheckedNumeric from the provided arithmetic
305 // or CheckedNumericType.
306 template <typename T>
307 constexpr CheckedNumeric<typename UnderlyingType<T>::type> MakeCheckedNum(const T value)
308 {
309     return value;
310 }
311 
312 // These implement the variadic wrapper for the math operations.
313 template <template <typename, typename, typename> class M, typename L, typename R>
314 constexpr CheckedNumeric<typename MathWrapper<M, L, R>::type> CheckMathOp(const L lhs, const R rhs)
315 {
316     using Math = typename MathWrapper<M, L, R>::math;
317     return CheckedNumeric<typename Math::result_type>::template MathOp<M>(lhs, rhs);
318 }
319 
320 // General purpose wrapper template for arithmetic operations.
321 template <template <typename, typename, typename> class M, typename L, typename R, typename... Args>
322 constexpr auto CheckMathOp(const L lhs, const R rhs, const Args... args)
323 {
324     return CheckMathOp<M>(CheckMathOp<M>(lhs, rhs), args...);
325 }
326 
327 BASE_NUMERIC_ARITHMETIC_OPERATORS(Checked, Check, Add, +, +=)
328 BASE_NUMERIC_ARITHMETIC_OPERATORS(Checked, Check, Sub, -, -=)
329 BASE_NUMERIC_ARITHMETIC_OPERATORS(Checked, Check, Mul, *, *=)
330 BASE_NUMERIC_ARITHMETIC_OPERATORS(Checked, Check, Div, /, /=)
331 BASE_NUMERIC_ARITHMETIC_OPERATORS(Checked, Check, Mod, %, %=)
332 BASE_NUMERIC_ARITHMETIC_OPERATORS(Checked, Check, Lsh, <<, <<=)
333 BASE_NUMERIC_ARITHMETIC_OPERATORS(Checked, Check, Rsh, >>, >>=)
334 BASE_NUMERIC_ARITHMETIC_OPERATORS(Checked, Check, And, &, &=)
335 BASE_NUMERIC_ARITHMETIC_OPERATORS(Checked, Check, Or, |, |=)
336 BASE_NUMERIC_ARITHMETIC_OPERATORS(Checked, Check, Xor, ^, ^=)
337 BASE_NUMERIC_ARITHMETIC_VARIADIC(Checked, Check, Max)
338 BASE_NUMERIC_ARITHMETIC_VARIADIC(Checked, Check, Min)
339 
340 // These are some extra StrictNumeric operators to support simple pointer
341 // arithmetic with our result types. Since wrapping on a pointer is always
342 // bad, we trigger the CHECK condition here.
343 template <typename L, typename R>
344 L *operator+(L *lhs, const StrictNumeric<R> rhs)
345 {
346     const uintptr_t result =
347         CheckAdd(reinterpret_cast<uintptr_t>(lhs), CheckMul(sizeof(L), static_cast<R>(rhs)))
348             .template ValueOrDie<uintptr_t>();
349     return reinterpret_cast<L *>(result);
350 }
351 
352 template <typename L, typename R>
353 L *operator-(L *lhs, const StrictNumeric<R> rhs)
354 {
355     const uintptr_t result =
356         CheckSub(reinterpret_cast<uintptr_t>(lhs), CheckMul(sizeof(L), static_cast<R>(rhs)))
357             .template ValueOrDie<uintptr_t>();
358     return reinterpret_cast<L *>(result);
359 }
360 
361 }  // namespace internal
362 
363 using internal::CheckAdd;
364 using internal::CheckAnd;
365 using internal::CheckDiv;
366 using internal::CheckedNumeric;
367 using internal::CheckLsh;
368 using internal::CheckMax;
369 using internal::CheckMin;
370 using internal::CheckMod;
371 using internal::CheckMul;
372 using internal::CheckOr;
373 using internal::CheckRsh;
374 using internal::CheckSub;
375 using internal::CheckXor;
376 using internal::IsValidForType;
377 using internal::MakeCheckedNum;
378 using internal::ValueOrDefaultForType;
379 using internal::ValueOrDieForType;
380 
381 }  // namespace base
382 }  // namespace angle
383 
384 #endif  // BASE_NUMERICS_CHECKED_MATH_H_
385