1 //===----------------------------------------------------------------------===//
2 //
3 // Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions.
4 // See https://llvm.org/LICENSE.txt for license information.
5 // SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception
6 //
7 //===----------------------------------------------------------------------===//
8 
9 #ifndef _LIBCPP___MATH_TRAITS_H
10 #define _LIBCPP___MATH_TRAITS_H
11 
12 #include <__config>
13 #include <__type_traits/enable_if.h>
14 #include <__type_traits/is_arithmetic.h>
15 #include <__type_traits/is_floating_point.h>
16 #include <__type_traits/is_integral.h>
17 #include <__type_traits/is_signed.h>
18 #include <__type_traits/promote.h>
19 #include <limits>
20 
21 #if !defined(_LIBCPP_HAS_NO_PRAGMA_SYSTEM_HEADER)
22 #  pragma GCC system_header
23 #endif
24 
25 _LIBCPP_BEGIN_NAMESPACE_STD
26 
27 namespace __math {
28 
29 // signbit
30 
31 template <class _A1, __enable_if_t<is_floating_point<_A1>::value, int> = 0>
signbit(_A1 __x)32 _LIBCPP_NODISCARD_EXT inline _LIBCPP_HIDE_FROM_ABI bool signbit(_A1 __x) _NOEXCEPT {
33   return __builtin_signbit(__x);
34 }
35 
36 template <class _A1, __enable_if_t<is_integral<_A1>::value && is_signed<_A1>::value, int> = 0>
signbit(_A1 __x)37 _LIBCPP_NODISCARD_EXT inline _LIBCPP_HIDE_FROM_ABI bool signbit(_A1 __x) _NOEXCEPT {
38   return __x < 0;
39 }
40 
41 template <class _A1, __enable_if_t<is_integral<_A1>::value && !is_signed<_A1>::value, int> = 0>
signbit(_A1)42 _LIBCPP_NODISCARD_EXT inline _LIBCPP_HIDE_FROM_ABI bool signbit(_A1) _NOEXCEPT {
43   return false;
44 }
45 
46 // isfinite
47 
48 template <class _A1, __enable_if_t<is_arithmetic<_A1>::value && numeric_limits<_A1>::has_infinity, int> = 0>
isfinite(_A1 __x)49 _LIBCPP_NODISCARD_EXT _LIBCPP_CONSTEXPR_SINCE_CXX23 _LIBCPP_HIDE_FROM_ABI bool isfinite(_A1 __x) _NOEXCEPT {
50   return __builtin_isfinite((typename __promote<_A1>::type)__x);
51 }
52 
53 template <class _A1, __enable_if_t<is_arithmetic<_A1>::value && !numeric_limits<_A1>::has_infinity, int> = 0>
isfinite(_A1)54 _LIBCPP_NODISCARD_EXT _LIBCPP_CONSTEXPR_SINCE_CXX23 _LIBCPP_HIDE_FROM_ABI bool isfinite(_A1) _NOEXCEPT {
55   return true;
56 }
57 
58 // isinf
59 
60 template <class _A1, __enable_if_t<is_arithmetic<_A1>::value && numeric_limits<_A1>::has_infinity, int> = 0>
isinf(_A1 __x)61 _LIBCPP_NODISCARD_EXT _LIBCPP_CONSTEXPR_SINCE_CXX23 _LIBCPP_HIDE_FROM_ABI bool isinf(_A1 __x) _NOEXCEPT {
62   return __builtin_isinf((typename __promote<_A1>::type)__x);
63 }
64 
65 template <class _A1, __enable_if_t<is_arithmetic<_A1>::value && !numeric_limits<_A1>::has_infinity, int> = 0>
isinf(_A1)66 _LIBCPP_NODISCARD_EXT _LIBCPP_CONSTEXPR_SINCE_CXX23 _LIBCPP_HIDE_FROM_ABI bool isinf(_A1) _NOEXCEPT {
67   return false;
68 }
69 
70 #ifdef _LIBCPP_PREFERRED_OVERLOAD
isinf(float __x)71 _LIBCPP_NODISCARD_EXT inline _LIBCPP_CONSTEXPR_SINCE_CXX23 _LIBCPP_HIDE_FROM_ABI bool isinf(float __x) _NOEXCEPT {
72   return __builtin_isinf(__x);
73 }
74 
75 _LIBCPP_NODISCARD_EXT inline _LIBCPP_CONSTEXPR_SINCE_CXX23 _LIBCPP_HIDE_FROM_ABI _LIBCPP_PREFERRED_OVERLOAD bool
isinf(double __x)76 isinf(double __x) _NOEXCEPT {
77   return __builtin_isinf(__x);
78 }
79 
isinf(long double __x)80 _LIBCPP_NODISCARD_EXT inline _LIBCPP_CONSTEXPR_SINCE_CXX23 _LIBCPP_HIDE_FROM_ABI bool isinf(long double __x) _NOEXCEPT {
81   return __builtin_isinf(__x);
82 }
83 #endif
84 
85 // isnan
86 
87 template <class _A1, __enable_if_t<is_floating_point<_A1>::value, int> = 0>
isnan(_A1 __x)88 _LIBCPP_NODISCARD_EXT _LIBCPP_CONSTEXPR_SINCE_CXX23 _LIBCPP_HIDE_FROM_ABI bool isnan(_A1 __x) _NOEXCEPT {
89   return __builtin_isnan(__x);
90 }
91 
92 template <class _A1, __enable_if_t<is_integral<_A1>::value, int> = 0>
isnan(_A1)93 _LIBCPP_NODISCARD_EXT _LIBCPP_CONSTEXPR_SINCE_CXX23 _LIBCPP_HIDE_FROM_ABI bool isnan(_A1) _NOEXCEPT {
94   return false;
95 }
96 
97 #ifdef _LIBCPP_PREFERRED_OVERLOAD
isnan(float __x)98 _LIBCPP_NODISCARD_EXT inline _LIBCPP_CONSTEXPR_SINCE_CXX23 _LIBCPP_HIDE_FROM_ABI bool isnan(float __x) _NOEXCEPT {
99   return __builtin_isnan(__x);
100 }
101 
102 _LIBCPP_NODISCARD_EXT inline _LIBCPP_CONSTEXPR_SINCE_CXX23 _LIBCPP_HIDE_FROM_ABI _LIBCPP_PREFERRED_OVERLOAD bool
isnan(double __x)103 isnan(double __x) _NOEXCEPT {
104   return __builtin_isnan(__x);
105 }
106 
isnan(long double __x)107 _LIBCPP_NODISCARD_EXT inline _LIBCPP_CONSTEXPR_SINCE_CXX23 _LIBCPP_HIDE_FROM_ABI bool isnan(long double __x) _NOEXCEPT {
108   return __builtin_isnan(__x);
109 }
110 #endif
111 
112 // isnormal
113 
114 template <class _A1, __enable_if_t<is_floating_point<_A1>::value, int> = 0>
isnormal(_A1 __x)115 _LIBCPP_NODISCARD_EXT _LIBCPP_CONSTEXPR_SINCE_CXX23 _LIBCPP_HIDE_FROM_ABI bool isnormal(_A1 __x) _NOEXCEPT {
116   return __builtin_isnormal(__x);
117 }
118 
119 template <class _A1, __enable_if_t<is_integral<_A1>::value, int> = 0>
isnormal(_A1 __x)120 _LIBCPP_NODISCARD_EXT _LIBCPP_CONSTEXPR_SINCE_CXX23 _LIBCPP_HIDE_FROM_ABI bool isnormal(_A1 __x) _NOEXCEPT {
121   return __x != 0;
122 }
123 
124 // isgreater
125 
126 template <class _A1, class _A2, __enable_if_t<is_arithmetic<_A1>::value && is_arithmetic<_A2>::value, int> = 0>
isgreater(_A1 __x,_A2 __y)127 _LIBCPP_NODISCARD_EXT inline _LIBCPP_HIDE_FROM_ABI bool isgreater(_A1 __x, _A2 __y) _NOEXCEPT {
128   using type = typename __promote<_A1, _A2>::type;
129   return __builtin_isgreater((type)__x, (type)__y);
130 }
131 
132 // isgreaterequal
133 
134 template <class _A1, class _A2, __enable_if_t<is_arithmetic<_A1>::value && is_arithmetic<_A2>::value, int> = 0>
isgreaterequal(_A1 __x,_A2 __y)135 _LIBCPP_NODISCARD_EXT inline _LIBCPP_HIDE_FROM_ABI bool isgreaterequal(_A1 __x, _A2 __y) _NOEXCEPT {
136   using type = typename __promote<_A1, _A2>::type;
137   return __builtin_isgreaterequal((type)__x, (type)__y);
138 }
139 
140 // isless
141 
142 template <class _A1, class _A2, __enable_if_t<is_arithmetic<_A1>::value && is_arithmetic<_A2>::value, int> = 0>
isless(_A1 __x,_A2 __y)143 _LIBCPP_NODISCARD_EXT inline _LIBCPP_HIDE_FROM_ABI bool isless(_A1 __x, _A2 __y) _NOEXCEPT {
144   using type = typename __promote<_A1, _A2>::type;
145   return __builtin_isless((type)__x, (type)__y);
146 }
147 
148 // islessequal
149 
150 template <class _A1, class _A2, __enable_if_t<is_arithmetic<_A1>::value && is_arithmetic<_A2>::value, int> = 0>
islessequal(_A1 __x,_A2 __y)151 _LIBCPP_NODISCARD_EXT inline _LIBCPP_HIDE_FROM_ABI bool islessequal(_A1 __x, _A2 __y) _NOEXCEPT {
152   using type = typename __promote<_A1, _A2>::type;
153   return __builtin_islessequal((type)__x, (type)__y);
154 }
155 
156 // islessgreater
157 
158 template <class _A1, class _A2, __enable_if_t<is_arithmetic<_A1>::value && is_arithmetic<_A2>::value, int> = 0>
islessgreater(_A1 __x,_A2 __y)159 _LIBCPP_NODISCARD_EXT inline _LIBCPP_HIDE_FROM_ABI bool islessgreater(_A1 __x, _A2 __y) _NOEXCEPT {
160   using type = typename __promote<_A1, _A2>::type;
161   return __builtin_islessgreater((type)__x, (type)__y);
162 }
163 
164 // isunordered
165 
166 template <class _A1, class _A2, __enable_if_t<is_arithmetic<_A1>::value && is_arithmetic<_A2>::value, int> = 0>
isunordered(_A1 __x,_A2 __y)167 _LIBCPP_NODISCARD_EXT inline _LIBCPP_HIDE_FROM_ABI bool isunordered(_A1 __x, _A2 __y) _NOEXCEPT {
168   using type = typename __promote<_A1, _A2>::type;
169   return __builtin_isunordered((type)__x, (type)__y);
170 }
171 
172 } // namespace __math
173 
174 _LIBCPP_END_NAMESPACE_STD
175 
176 #endif // _LIBCPP___MATH_TRAITS_H
177