/* * * Copyright (C) 2015 The Android Open Source Project * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. * You may obtain a copy of the License at * * http://www.apache.org/licenses/LICENSE-2.0 * * Unless required by applicable law or agreed to in writing, software * distributed under the License is distributed on an "AS IS" BASIS, * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. * See the License for the specific language governing permissions and * limitations under the License. */ // Functions for safe arithmetic (guarded against overflow) on integer types. #ifndef __dng_safe_arithmetic__ #define __dng_safe_arithmetic__ #include <cstddef> #include <cstdint> #include <limits> #include "dng_exceptions.h" #ifndef __has_builtin #define __has_builtin(x) 0 // Compatibility with non-Clang compilers. #endif #if !defined(DNG_HAS_INT128) && defined(__SIZEOF_INT128__) #define DNG_HAS_INT128 #endif // If the result of adding arg1 and arg2 will fit in an int32_t (without // under-/overflow), stores this result in *result and returns true. Otherwise, // returns false and leaves *result unchanged. bool SafeInt32Add(std::int32_t arg1, std::int32_t arg2, std::int32_t *result); // Returns the result of adding arg1 and arg2 if it will fit in the result type // (without under-/overflow). Otherwise, throws a dng_exception with error code // dng_error_unknown. std::int32_t SafeInt32Add(std::int32_t arg1, std::int32_t arg2); std::int64_t SafeInt64Add(std::int64_t arg1, std::int64_t arg2); // If the result of adding arg1 and arg2 will fit in a uint32_t (without // wraparound), stores this result in *result and returns true. Otherwise, // returns false and leaves *result unchanged. bool SafeUint32Add(std::uint32_t arg1, std::uint32_t arg2, std::uint32_t *result); // Returns the result of adding arg1 and arg2 if it will fit in the result type // (without wraparound). Otherwise, throws a dng_exception with error code // dng_error_unknown. std::uint32_t SafeUint32Add(std::uint32_t arg1, std::uint32_t arg2); std::uint64_t SafeUint64Add(std::uint64_t arg1, std::uint64_t arg2); // If the subtraction of arg2 from arg1 will not result in an int32_t under- or // overflow, stores this result in *result and returns true. Otherwise, // returns false and leaves *result unchanged. bool SafeInt32Sub(std::int32_t arg1, std::int32_t arg2, std::int32_t *result); // Returns the result of subtracting arg2 from arg1 if this operation will not // result in an int32_t under- or overflow. Otherwise, throws a dng_exception // with error code dng_error_unknown. std::int32_t SafeInt32Sub(std::int32_t arg1, std::int32_t arg2); // Returns the result of subtracting arg2 from arg1 if this operation will not // result in wraparound. Otherwise, throws a dng_exception with error code // dng_error_unknown. std::uint32_t SafeUint32Sub(std::uint32_t arg1, std::uint32_t arg2); // Returns the result of multiplying arg1 and arg2 if it will fit in a int32_t // (without overflow). Otherwise, throws a dng_exception with error code // dng_error_unknown. std::int32_t SafeInt32Mult(std::int32_t arg1, std::int32_t arg2); // If the result of multiplying arg1, ..., argn will fit in a uint32_t (without // wraparound), stores this result in *result and returns true. Otherwise, // returns false and leaves *result unchanged. bool SafeUint32Mult(std::uint32_t arg1, std::uint32_t arg2, std::uint32_t *result); bool SafeUint32Mult(std::uint32_t arg1, std::uint32_t arg2, std::uint32_t arg3, std::uint32_t *result); bool SafeUint32Mult(std::uint32_t arg1, std::uint32_t arg2, std::uint32_t arg3, std::uint32_t arg4, std::uint32_t *result); // Returns the result of multiplying arg1, ..., argn if it will fit in a // uint32_t (without wraparound). Otherwise, throws a dng_exception with error // code dng_error_unknown. std::uint32_t SafeUint32Mult(std::uint32_t arg1, std::uint32_t arg2); std::uint32_t SafeUint32Mult(std::uint32_t arg1, std::uint32_t arg2, std::uint32_t arg3); std::uint32_t SafeUint32Mult(std::uint32_t arg1, std::uint32_t arg2, std::uint32_t arg3, std::uint32_t arg4); // Returns the result of multiplying arg1 and arg2 if it will fit in a size_t // (without overflow). Otherwise, throws a dng_exception with error code // dng_error_unknown. std::size_t SafeSizetMult(std::size_t arg1, std::size_t arg2); namespace dng_internal { // Internal function used as fallback for SafeInt64Mult() if other optimized // computation is not supported. Don't call this function directly. std::int64_t SafeInt64MultSlow(std::int64_t arg1, std::int64_t arg2); // Internal function used as optimization for SafeInt64Mult() if Clang // __builtin_smull_overflow is supported. Don't call this function directly. #if __has_builtin(__builtin_smull_overflow) inline std::int64_t SafeInt64MultByClang(std::int64_t arg1, std::int64_t arg2) { std::int64_t result; #if (__WORDSIZE == 64) && !defined(__APPLE__) if (__builtin_smull_overflow(arg1, arg2, &result)) { #else if (__builtin_smulll_overflow(arg1, arg2, &result)) { #endif ThrowProgramError("Arithmetic overflow"); abort(); // Never reached. } return result; } #endif // Internal function used as optimization for SafeInt64Mult() if __int128 type // is supported. Don't call this function directly. #ifdef DNG_HAS_INT128 inline std::int64_t SafeInt64MultByInt128(std::int64_t arg1, std::int64_t arg2) { const __int128 kInt64Max = static_cast<__int128>(std::numeric_limits<std::int64_t>::max()); const __int128 kInt64Min = static_cast<__int128>(std::numeric_limits<std::int64_t>::min()); __int128 result = static_cast<__int128>(arg1) * static_cast<__int128>(arg2); if (result > kInt64Max || result < kInt64Min) { ThrowProgramError("Arithmetic overflow"); } return static_cast<std::int64_t>(result); } #endif } // namespace dng_internal // Returns the result of multiplying arg1 and arg2 if it will fit in an int64_t // (without overflow). Otherwise, throws a dng_exception with error code // dng_error_unknown. inline std::int64_t SafeInt64Mult(std::int64_t arg1, std::int64_t arg2) { #if __has_builtin(__builtin_smull_overflow) return dng_internal::SafeInt64MultByClang(arg1, arg2); #elif defined(DNG_HAS_INT128) return dng_internal::SafeInt64MultByInt128(arg1, arg2); #else return dng_internal::SafeInt64MultSlow(arg1, arg2); #endif } // Returns the result of dividing arg1 by arg2; if the result is not an integer, // rounds up to the next integer. If arg2 is zero, throws a dng_exception with // error code dng_error_unknown. // The function is safe against wraparound and will return the correct result // for all combinations of arg1 and arg2. std::uint32_t SafeUint32DivideUp(std::uint32_t arg1, std::uint32_t arg2); // Finds the smallest integer multiple of 'multiple_of' that is greater than or // equal to 'val'. If this value will fit in a uint32_t, stores it in *result // and returns true. Otherwise, or if 'multiple_of' is zero, returns false and // leaves *result unchanged. bool RoundUpUint32ToMultiple(std::uint32_t val, std::uint32_t multiple_of, std::uint32_t *result); // Returns the smallest integer multiple of 'multiple_of' that is greater than // or equal to 'val'. If the result will not fit in a std::uint32_t or if // 'multiple_of' is zero, throws a dng_exception with error code // dng_error_unknown. std::uint32_t RoundUpUint32ToMultiple(std::uint32_t val, std::uint32_t multiple_of); // If the uint32_t value val will fit in a int32_t, converts it to a int32_t and // stores it in *result. Otherwise, returns false and leaves *result unchanged. bool ConvertUint32ToInt32(std::uint32_t val, std::int32_t *result); // Returns the result of converting val to an int32_t if it can be converted // without overflow. Otherwise, throws a dng_exception with error code // dng_error_unknown. std::int32_t ConvertUint32ToInt32(std::uint32_t val); // Converts a value of the unsigned integer type TSrc to the unsigned integer // type TDest. If the value in 'src' cannot be converted to the type TDest // without truncation, throws a dng_exception with error code dng_error_unknown. // // Note: Though this function is typically used where TDest is a narrower type // than TSrc, it is designed to work also if TDest is wider than from TSrc or // identical to TSrc. This is useful in situations where the width of the types // involved can change depending on the architecture -- for example, the // conversion from size_t to uint32_t may either be narrowing, identical or even // widening (though the latter admittedly happens only on architectures that // aren't relevant to us). template <class TSrc, class TDest> static void ConvertUnsigned(TSrc src, TDest *dest) { static_assert(std::numeric_limits<TSrc>::is_integer && !std::numeric_limits<TSrc>::is_signed && std::numeric_limits<TDest>::is_integer && !std::numeric_limits<TDest>::is_signed, "TSrc and TDest must be unsigned integer types"); const TDest converted = static_cast<TDest>(src); // Convert back to TSrc to check whether truncation occurred in the // conversion to TDest. if (static_cast<TSrc>(converted) != src) { ThrowProgramError("Overflow in unsigned integer conversion"); } *dest = converted; } // Returns the result of converting val to the result type using truncation if // val is in range of the result type values. Otherwise, throws a dng_exception // with error code dng_error_unknown. std::int32_t ConvertDoubleToInt32(double val); std::uint32_t ConvertDoubleToUint32(double val); // Returns the result of converting val to float. If val is outside of // [-FLT_MAX, FLT_MAX], -infinity and infinity is returned respectively. NaN is // returned as NaN. float ConvertDoubleToFloat(double val); #endif // __dng_safe_arithmetic__