1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
|
// -*- C++ -*-
//===----------------------------------------------------------------------===//
//
// Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions.
// See https://llvm.org/LICENSE.txt for license information.
// SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception
// SPDX-FileCopyrightText: Copyright (c) 2025 NVIDIA CORPORATION & AFFILIATES.
//
//===----------------------------------------------------------------------===//
#ifndef _LIBCUDACXX___CMATH_MODULO_H
#define _LIBCUDACXX___CMATH_MODULO_H
#include <cuda/std/detail/__config>
#if defined(_CCCL_IMPLICIT_SYSTEM_HEADER_GCC)
# pragma GCC system_header
#elif defined(_CCCL_IMPLICIT_SYSTEM_HEADER_CLANG)
# pragma clang system_header
#elif defined(_CCCL_IMPLICIT_SYSTEM_HEADER_MSVC)
# pragma system_header
#endif // no system header
#include <cuda/std/__cmath/copysign.h>
#include <cuda/std/__cmath/rounding_functions.h>
#include <cuda/std/__floating_point/nvfp_types.h>
#include <cuda/std/__type_traits/enable_if.h>
#include <cuda/std/__type_traits/is_arithmetic.h>
#include <cuda/std/__type_traits/is_same.h>
#include <cuda/std/__type_traits/promote.h>
#include <cuda/std/__cccl/prologue.h>
_LIBCUDACXX_BEGIN_NAMESPACE_STD
// fmod
#if _CCCL_CHECK_BUILTIN(builtin_fmod) || _CCCL_COMPILER(GCC)
# define _CCCL_BUILTIN_FMODF(...) __builtin_fmodf(__VA_ARGS__)
# define _CCCL_BUILTIN_FMOD(...) __builtin_fmod(__VA_ARGS__)
# define _CCCL_BUILTIN_FMODL(...) __builtin_fmodl(__VA_ARGS__)
#endif // _CCCL_CHECK_BUILTIN(builtin_fmod)
// clang-cuda fails with fatal error: error in backend: Undefined external symbol "modf"
#if _CCCL_CUDA_COMPILER(CLANG)
# undef _CCCL_BUILTIN_FMODF
# undef _CCCL_BUILTIN_FMOD
# undef _CCCL_BUILTIN_FMODL
#endif // _CCCL_CUDA_COMPILER(CLANG)
[[nodiscard]] _CCCL_API inline float fmod(float __x, float __y) noexcept
{
#if defined(_CCCL_BUILTIN_FMODF)
return _CCCL_BUILTIN_FMODF(__x, __y);
#else // ^^^ _CCCL_BUILTIN_FMODF ^^^ / vvv !_CCCL_BUILTIN_FMODF vvv
return ::fmodf(__x, __y);
#endif // ^^^ !_CCCL_BUILTIN_FMODF ^^^
}
[[nodiscard]] _CCCL_API inline float fmodf(float __x, float __y) noexcept
{
#if defined(_CCCL_BUILTIN_FMODF)
return _CCCL_BUILTIN_FMODF(__x, __y);
#else // ^^^ _CCCL_BUILTIN_FMODF ^^^ / vvv !_CCCL_BUILTIN_FMODF vvv
return ::fmodf(__x, __y);
#endif // ^^^ !_CCCL_BUILTIN_FMODF ^^^
}
[[nodiscard]] _CCCL_API inline double fmod(double __x, double __y) noexcept
{
#if defined(_CCCL_BUILTIN_FMOD)
return _CCCL_BUILTIN_FMOD(__x, __y);
#else // ^^^ _CCCL_BUILTIN_FMOD ^^^ / vvv !_CCCL_BUILTIN_FMOD vvv
return ::fmod(__x, __y);
#endif // ^^^ !_CCCL_BUILTIN_FMOD ^^^
}
#if _CCCL_HAS_LONG_DOUBLE()
[[nodiscard]] _CCCL_API inline long double fmod(long double __x, long double __y) noexcept
{
# if defined(_CCCL_BUILTIN_FMODL)
return _CCCL_BUILTIN_FMODL(__x, __y);
# else // ^^^ _CCCL_BUILTIN_FMODL ^^^ / vvv !_CCCL_BUILTIN_FMODL vvv
return ::fmodl(__x, __y);
# endif // ^^^ !_CCCL_BUILTIN_FMODL ^^^
}
[[nodiscard]] _CCCL_API inline long double fmodl(long double __x, long double __y) noexcept
{
# if defined(_CCCL_BUILTIN_FMODL)
return _CCCL_BUILTIN_FMODL(__x, __y);
# else // ^^^ _CCCL_BUILTIN_FMODL ^^^ / vvv !_CCCL_BUILTIN_FMODL vvv
return ::fmodl(__x, __y);
# endif // ^^^ !_CCCL_BUILTIN_FMODL ^^^
}
#endif // _CCCL_HAS_LONG_DOUBLE()
#if _LIBCUDACXX_HAS_NVFP16()
[[nodiscard]] _CCCL_API inline __half fmod(__half __x, __half __y) noexcept
{
return ::__float2half(_CUDA_VSTD::fmod(::__half2float(__x), ::__half2float(__y)));
}
#endif // _LIBCUDACXX_HAS_NVFP16()
#if _LIBCUDACXX_HAS_NVBF16()
[[nodiscard]] _CCCL_API inline __nv_bfloat16 fmod(__nv_bfloat16 __x, __nv_bfloat16 __y) noexcept
{
return ::__float2bfloat16(_CUDA_VSTD::fmod(::__bfloat162float(__x), ::__bfloat162float(__y)));
}
#endif // _LIBCUDACXX_HAS_NVBF16()
template <class _A1, class _A2, enable_if_t<is_arithmetic_v<_A1> && is_arithmetic_v<_A2>, int> = 0>
[[nodiscard]] _CCCL_API inline __promote_t<_A1, _A2> fmod(_A1 __x, _A2 __y) noexcept
{
using __result_type = __promote_t<_A1, _A2>;
static_assert(!(is_same_v<_A1, __result_type> && is_same_v<_A2, __result_type>) );
return _CUDA_VSTD::fmod((__result_type) __x, (__result_type) __y);
}
// modf
#if _CCCL_CHECK_BUILTIN(builtin_modf) || _CCCL_COMPILER(GCC)
# define _CCCL_BUILTIN_MODFF(...) __builtin_modff(__VA_ARGS__)
# define _CCCL_BUILTIN_MODF(...) __builtin_modf(__VA_ARGS__)
# define _CCCL_BUILTIN_MODFL(...) __builtin_modfl(__VA_ARGS__)
#endif // _CCCL_CHECK_BUILTIN(builtin_modf)
// clang-cuda fails with fatal error: error in backend: Undefined external symbol "modf"
#if _CCCL_CUDA_COMPILER(CLANG)
# undef _CCCL_BUILTIN_MODFF
# undef _CCCL_BUILTIN_MODF
# undef _CCCL_BUILTIN_MODFL
#endif // _CCCL_CUDA_COMPILER(CLANG)
[[nodiscard]] _CCCL_API inline float modf(float __x, float* __y) noexcept
{
#if defined(_CCCL_BUILTIN_MODFF)
return _CCCL_BUILTIN_MODFF(__x, __y);
#else // ^^^ _CCCL_BUILTIN_MODFF ^^^ / vvv !_CCCL_BUILTIN_MODFF vvv
return ::modff(__x, __y);
#endif // ^^^ !_CCCL_BUILTIN_MODFF ^^^
}
[[nodiscard]] _CCCL_API inline float modff(float __x, float* __y) noexcept
{
#if defined(_CCCL_BUILTIN_MODFF)
return _CCCL_BUILTIN_MODFF(__x, __y);
#else // ^^^ _CCCL_BUILTIN_MODFF ^^^ / vvv !_CCCL_BUILTIN_MODFF vvv
return ::modff(__x, __y);
#endif // ^^^ !_CCCL_BUILTIN_MODFF ^^^
}
[[nodiscard]] _CCCL_API inline double modf(double __x, double* __y) noexcept
{
#if defined(_CCCL_BUILTIN_MODF)
return _CCCL_BUILTIN_MODF(__x, __y);
#else // ^^^ _CCCL_BUILTIN_MODF ^^^ / vvv !_CCCL_BUILTIN_MODF vvv
return ::modf(__x, __y);
#endif // ^^^ !_CCCL_BUILTIN_MODF ^^^
}
#if _CCCL_HAS_LONG_DOUBLE()
[[nodiscard]] _CCCL_API inline long double modf(long double __x, long double* __y) noexcept
{
# if defined(_CCCL_BUILTIN_MODFL)
return _CCCL_BUILTIN_MODFL(__x, __y);
# else // ^^^ _CCCL_BUILTIN_MODFL ^^^ / vvv !_CCCL_BUILTIN_MODFL vvv
return ::modfl(__x, __y);
# endif // ^^^ !_CCCL_BUILTIN_MODFL ^^^
}
[[nodiscard]] _CCCL_API inline long double modfl(long double __x, long double* __y) noexcept
{
# if defined(_CCCL_BUILTIN_MODFL)
return _CCCL_BUILTIN_MODFL(__x, __y);
# else // ^^^ _CCCL_BUILTIN_MODFL ^^^ / vvv !_CCCL_BUILTIN_MODFL vvv
return ::modfl(__x, __y);
# endif // ^^^ !_CCCL_BUILTIN_MODFL ^^^
}
#endif // _CCCL_HAS_LONG_DOUBLE()
#if _LIBCUDACXX_HAS_NVFP16()
[[nodiscard]] _CCCL_API inline __half modf(__half __x, __half* __y) noexcept
{
const __half __integral_part = _CUDA_VSTD::trunc(__x);
*__y = __integral_part;
return ::__heq(__integral_part, __x)
? _CUDA_VSTD::copysign(::__float2half(0.0f), __x)
: ::__hsub(__x, __integral_part);
}
#endif // _LIBCUDACXX_HAS_NVFP16()
#if _LIBCUDACXX_HAS_NVBF16()
[[nodiscard]] _CCCL_API inline __nv_bfloat16 modf(__nv_bfloat16 __x, __nv_bfloat16* __y) noexcept
{
const __nv_bfloat16 __integral_part = _CUDA_VSTD::trunc(__x);
*__y = __integral_part;
return ::__heq(__integral_part, __x)
? _CUDA_VSTD::copysign(::__float2bfloat16(0.0f), __x)
: ::__hsub(__x, __integral_part);
}
#endif // _LIBCUDACXX_HAS_NVBF16()
_LIBCUDACXX_END_NAMESPACE_STD
#include <cuda/std/__cccl/epilogue.h>
#endif // _LIBCUDACXX___CMATH_MODULO_H
|