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1 /*
2  *  Copyright 2016 The WebRTC Project Authors. All rights reserved.
3  *
4  *  Use of this source code is governed by a BSD-style license
5  *  that can be found in the LICENSE file in the root of the source
6  *  tree. An additional intellectual property rights grant can be found
7  *  in the file PATENTS.  All contributing project authors may
8  *  be found in the AUTHORS file in the root of the source tree.
9  */
10 
11 // This file defines six constexpr functions:
12 //
13 //   rtc::SafeEq  // ==
14 //   rtc::SafeNe  // !=
15 //   rtc::SafeLt  // <
16 //   rtc::SafeLe  // <=
17 //   rtc::SafeGt  // >
18 //   rtc::SafeGe  // >=
19 //
20 // They each accept two arguments of arbitrary types, and in almost all cases,
21 // they simply call the appropriate comparison operator. However, if both
22 // arguments are integers, they don't compare them using C++'s quirky rules,
23 // but instead adhere to the true mathematical definitions. It is as if the
24 // arguments were first converted to infinite-range signed integers, and then
25 // compared, although of course nothing expensive like that actually takes
26 // place. In practice, for signed/signed and unsigned/unsigned comparisons and
27 // some mixed-signed comparisons with a compile-time constant, the overhead is
28 // zero; in the remaining cases, it is just a few machine instructions (no
29 // branches).
30 
31 #ifndef RTC_BASE_NUMERICS_SAFE_COMPARE_H_
32 #define RTC_BASE_NUMERICS_SAFE_COMPARE_H_
33 
34 #include <stddef.h>
35 #include <stdint.h>
36 
37 #include <type_traits>
38 #include <utility>
39 
40 #include "rtc_base/type_traits.h"
41 
42 namespace rtc {
43 
44 namespace safe_cmp_impl {
45 
46 template <size_t N>
47 struct LargerIntImpl : std::false_type {};
48 template <>
49 struct LargerIntImpl<sizeof(int8_t)> : std::true_type {
50   using type = int16_t;
51 };
52 template <>
53 struct LargerIntImpl<sizeof(int16_t)> : std::true_type {
54   using type = int32_t;
55 };
56 template <>
57 struct LargerIntImpl<sizeof(int32_t)> : std::true_type {
58   using type = int64_t;
59 };
60 
61 // LargerInt<T1, T2>::value is true iff there's a signed type that's larger
62 // than T1 (and no larger than the larger of T2 and int*, for performance
63 // reasons); and if there is such a type, LargerInt<T1, T2>::type is an alias
64 // for it.
65 template <typename T1, typename T2>
66 struct LargerInt
67     : LargerIntImpl<sizeof(T1) < sizeof(T2) || sizeof(T1) < sizeof(int*)
68                         ? sizeof(T1)
69                         : 0> {};
70 
71 template <typename T>
72 constexpr typename std::make_unsigned<T>::type MakeUnsigned(T a) {
73   return static_cast<typename std::make_unsigned<T>::type>(a);
74 }
75 
76 // Overload for when both T1 and T2 have the same signedness.
77 template <typename Op,
78           typename T1,
79           typename T2,
80           typename std::enable_if<std::is_signed<T1>::value ==
81                                   std::is_signed<T2>::value>::type* = nullptr>
82 constexpr bool Cmp(T1 a, T2 b) {
83   return Op::Op(a, b);
84 }
85 
86 // Overload for signed - unsigned comparison that can be promoted to a bigger
87 // signed type.
88 template <typename Op,
89           typename T1,
90           typename T2,
91           typename std::enable_if<std::is_signed<T1>::value &&
92                                   std::is_unsigned<T2>::value &&
93                                   LargerInt<T2, T1>::value>::type* = nullptr>
94 constexpr bool Cmp(T1 a, T2 b) {
95   return Op::Op(a, static_cast<typename LargerInt<T2, T1>::type>(b));
96 }
97 
98 // Overload for unsigned - signed comparison that can be promoted to a bigger
99 // signed type.
100 template <typename Op,
101           typename T1,
102           typename T2,
103           typename std::enable_if<std::is_unsigned<T1>::value &&
104                                   std::is_signed<T2>::value &&
105                                   LargerInt<T1, T2>::value>::type* = nullptr>
106 constexpr bool Cmp(T1 a, T2 b) {
107   return Op::Op(static_cast<typename LargerInt<T1, T2>::type>(a), b);
108 }
109 
110 // Overload for signed - unsigned comparison that can't be promoted to a bigger
111 // signed type.
112 template <typename Op,
113           typename T1,
114           typename T2,
115           typename std::enable_if<std::is_signed<T1>::value &&
116                                   std::is_unsigned<T2>::value &&
117                                   !LargerInt<T2, T1>::value>::type* = nullptr>
118 constexpr bool Cmp(T1 a, T2 b) {
119   return a < 0 ? Op::Op(-1, 0) : Op::Op(safe_cmp_impl::MakeUnsigned(a), b);
120 }
121 
122 // Overload for unsigned - signed comparison that can't be promoted to a bigger
123 // signed type.
124 template <typename Op,
125           typename T1,
126           typename T2,
127           typename std::enable_if<std::is_unsigned<T1>::value &&
128                                   std::is_signed<T2>::value &&
129                                   !LargerInt<T1, T2>::value>::type* = nullptr>
130 constexpr bool Cmp(T1 a, T2 b) {
131   return b < 0 ? Op::Op(0, -1) : Op::Op(a, safe_cmp_impl::MakeUnsigned(b));
132 }
133 
134 #define RTC_SAFECMP_MAKE_OP(name, op)      \
135   struct name {                            \
136     template <typename T1, typename T2>    \
137     static constexpr bool Op(T1 a, T2 b) { \
138       return a op b;                       \
139     }                                      \
140   };
141 RTC_SAFECMP_MAKE_OP(EqOp, ==)
142 RTC_SAFECMP_MAKE_OP(NeOp, !=)
143 RTC_SAFECMP_MAKE_OP(LtOp, <)
144 RTC_SAFECMP_MAKE_OP(LeOp, <=)
145 RTC_SAFECMP_MAKE_OP(GtOp, >)
146 RTC_SAFECMP_MAKE_OP(GeOp, >=)
147 #undef RTC_SAFECMP_MAKE_OP
148 
149 }  // namespace safe_cmp_impl
150 
151 #define RTC_SAFECMP_MAKE_FUN(name)                                            \
152   template <typename T1, typename T2>                                         \
153   constexpr                                                                   \
154       typename std::enable_if<IsIntlike<T1>::value && IsIntlike<T2>::value,   \
155                               bool>::type Safe##name(T1 a, T2 b) {            \
156     /* Unary plus here turns enums into real integral types. */               \
157     return safe_cmp_impl::Cmp<safe_cmp_impl::name##Op>(+a, +b);               \
158   }                                                                           \
159   template <typename T1, typename T2>                                         \
160   constexpr                                                                   \
161       typename std::enable_if<!IsIntlike<T1>::value || !IsIntlike<T2>::value, \
162                               bool>::type Safe##name(const T1& a,             \
163                                                      const T2& b) {           \
164     return safe_cmp_impl::name##Op::Op(a, b);                                 \
165   }
166 RTC_SAFECMP_MAKE_FUN(Eq)
167 RTC_SAFECMP_MAKE_FUN(Ne)
168 RTC_SAFECMP_MAKE_FUN(Lt)
169 RTC_SAFECMP_MAKE_FUN(Le)
170 RTC_SAFECMP_MAKE_FUN(Gt)
171 RTC_SAFECMP_MAKE_FUN(Ge)
172 #undef RTC_SAFECMP_MAKE_FUN
173 
174 }  // namespace rtc
175 
176 #endif  // RTC_BASE_NUMERICS_SAFE_COMPARE_H_
177