]>
Commit | Line | Data |
---|---|---|
bbc27441 | 1 | /* |
77b1029d | 2 | * Copyright (C) 1996-2020 The Squid Software Foundation and contributors |
bbc27441 AJ |
3 | * |
4 | * Squid software is distributed under GPLv2+ license and includes | |
5 | * contributions from numerous individuals and organizations. | |
6 | * Please see the COPYING and CONTRIBUTORS files for details. | |
7 | */ | |
8 | ||
a98bcbee AJ |
9 | #ifndef _SQUID_SRC_SQUIDMATH_H |
10 | #define _SQUID_SRC_SQUIDMATH_H | |
11 | ||
72247610 AJ |
12 | #include "base/forward.h" |
13 | ||
14 | #include <limits> | |
15 | #include <type_traits> | |
16 | ||
17 | // TODO: Move to src/base/Math.h and drop the Math namespace | |
18 | ||
a98bcbee | 19 | /* Math functions we define locally for Squid */ |
f9afa4fb A |
20 | namespace Math |
21 | { | |
a98bcbee | 22 | |
8a648e8d FC |
23 | int intPercent(const int a, const int b); |
24 | int64_t int64Percent(const int64_t a, const int64_t b); | |
25 | double doublePercent(const double, const double); | |
26 | int intAverage(const int, const int, int, const int); | |
27 | double doubleAverage(const double, const double, int, const int); | |
a98bcbee | 28 | |
e5519212 | 29 | } // namespace Math |
a98bcbee | 30 | |
72247610 AJ |
31 | // If Sum() performance becomes important, consider using GCC and clang |
32 | // built-ins like __builtin_add_overflow() instead of manual overflow checks. | |
33 | ||
34 | /// std::enable_if_t replacement until C++14 | |
35 | /// simplifies Sum() declarations below | |
36 | template <bool B, class T = void> | |
37 | using EnableIfType = typename std::enable_if<B,T>::type; | |
38 | ||
39 | /// detects a pair of unsigned types | |
40 | /// reduces code duplication in Sum() declarations below | |
41 | template <typename T, typename U> | |
42 | using AllUnsigned = typename std::conditional< | |
43 | std::is_unsigned<T>::value && std::is_unsigned<U>::value, | |
44 | std::true_type, | |
45 | std::false_type | |
46 | >::type; | |
47 | ||
48 | /// \returns a non-overflowing sum of the two unsigned arguments (or nothing) | |
49 | template <typename T, typename U, EnableIfType<AllUnsigned<T,U>::value, int> = 0> | |
50 | Optional<T> | |
51 | Sum(const T a, const U b) { | |
52 | // Instead of computing the largest type dynamically, we simply go by T and | |
53 | // reject cases like Sum(0, ULLONG_MAX) that would overflow on return. | |
54 | // TODO: Consider using std::common_type<T, U> in the return type instead. | |
55 | static_assert(sizeof(T) >= sizeof(U), "Sum() return type can fit its (unsigned) result"); | |
56 | ||
57 | // this optimized implementation relies on unsigned overflows | |
58 | static_assert(std::is_unsigned<T>::value, "the first Sum(a,b) argument is unsigned"); | |
59 | static_assert(std::is_unsigned<U>::value, "the second Sum(a,b) argument is unsigned"); | |
60 | const auto sum = a + b; | |
61 | // when a+b overflows, the result becomes smaller than any operand | |
62 | return (sum < a) ? Optional<T>() : Optional<T>(sum); | |
63 | } | |
64 | ||
65 | /// \returns a non-overflowing sum of the two signed arguments (or nothing) | |
66 | template <typename T, typename U, EnableIfType<!AllUnsigned<T,U>::value, int> = 0> | |
67 | Optional<T> constexpr | |
68 | Sum(const T a, const U b) { | |
69 | // Instead of computing the largest type dynamically, we simply go by T and | |
70 | // reject cases like Sum(0, LLONG_MAX) that would overflow on return. | |
71 | static_assert(sizeof(T) >= sizeof(U), "Sum() return type can fit its (signed) result"); | |
72 | ||
73 | // tests below avoid undefined behavior of signed under/overflows | |
74 | return b >= 0 ? | |
75 | ((a > std::numeric_limits<U>::max() - b) ? Optional<T>() : Optional<T>(a + b)): | |
76 | ((a < std::numeric_limits<U>::min() - b) ? Optional<T>() : Optional<T>(a + b)); | |
77 | } | |
78 | ||
79 | /// \returns a non-overflowing sum of the arguments (or nothing) | |
80 | template <typename T, typename... Args> | |
81 | Optional<T> | |
82 | Sum(const T first, Args... args) { | |
83 | if (const auto others = Sum(args...)) { | |
84 | return Sum(first, others.value()); | |
85 | } else { | |
86 | return Optional<T>(); | |
87 | } | |
88 | } | |
89 | ||
a98bcbee | 90 | #endif /* _SQUID_SRC_SQUIDMATH_H */ |
f53969cc | 91 |