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
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
482
483
484
485
486
487
488
489
490
491
492
493
494
495
496
497
498
499
500
501
502
503
504
505
506
507
508
509
510
511
512
513
514
515
516
517
518
519
520
521
522
523
524
525
526
527
528
529
530
531
532
533
534
535
536
537
538
539
540
541
542
543
544
545
546
547
548
549
550
551
552
553
554
555
556
557
558
559
560
561
562
563
564
565
566
567
568
569
570
571
572
573
574
575
576
577
578
579
580
581
582
583
584
585
586
587
588
589
590
591
592
593
594
595
596
597
598
599
600
601
602
603
604
605
606
607
608
609
610
611
612
613
614
615
616
617
618
619
620
621
622
623
624
625
626
627
628
629
630
631
632
633
634
635
636
637
638
639
640
641
642
643
644
645
646
647
648
649
650
651
652
653
654
655
656
657
658
659
660
661
662
663
664
665
666
667
668
669
670
671
672
673
674
675
676
|
//===----------------------------------------------------------------------===//
//
// Part of libcu++, the C++ Standard Library for your entire system,
// 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___COMPLEX_COMPLEX_H
#define _LIBCUDACXX___COMPLEX_COMPLEX_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/__complex/vector_support.h>
#include <cuda/std/__concepts/concept_macros.h>
#include <cuda/std/__fwd/get.h>
#include <cuda/std/__tuple_dir/tuple_element.h>
#include <cuda/std/__tuple_dir/tuple_size.h>
#include <cuda/std/__type_traits/enable_if.h>
#include <cuda/std/__type_traits/is_constructible.h>
#include <cuda/std/__type_traits/is_floating_point.h>
#include <cuda/std/__type_traits/is_integral.h>
#include <cuda/std/__type_traits/is_same.h>
#include <cuda/std/cmath>
#include <cuda/std/cstdint>
#include <cuda/std/limits>
// Compatibility helpers for thrust to convert between `std::complex` and `cuda::std::complex`
#if !_CCCL_COMPILER(NVRTC)
# include <complex>
# include <sstream> // for std::basic_ostringstream
# define _LIBCUDACXX_ACCESS_STD_COMPLEX_REAL(__c) reinterpret_cast<const _Up(&)[2]>(__c)[0]
# define _LIBCUDACXX_ACCESS_STD_COMPLEX_IMAG(__c) reinterpret_cast<const _Up(&)[2]>(__c)[1]
#endif // !_CCCL_COMPILER(NVRTC)
#include <cuda/std/__cccl/prologue.h>
#ifdef LIBCUDACXX_ENABLE_SIMPLIFIED_COMPLEX_OPERATIONS
# ifndef LIBCUDACXX_ENABLE_SIMPLIFIED_COMPLEX_MULTIPLICATION
# define LIBCUDACXX_ENABLE_SIMPLIFIED_COMPLEX_MULTIPLICATION
# endif // LIBCUDACXX_ENABLE_SIMPLIFIED_COMPLEX_MULTIPLICATION
# ifndef LIBCUDACXX_ENABLE_SIMPLIFIED_COMPLEX_DIVISION
# define LIBCUDACXX_ENABLE_SIMPLIFIED_COMPLEX_DIVISION
# endif // LIBCUDACXX_ENABLE_SIMPLIFIED_COMPLEX_DIVISION
#endif // LIBCUDACXX_ENABLE_SIMPLIFIED_COMPLEX_OPERATIONS
_LIBCUDACXX_BEGIN_NAMESPACE_STD
template <class _Tp>
struct __get_complex_impl;
template <class _Tp>
class _CCCL_TYPE_VISIBILITY_DEFAULT _LIBCUDACXX_COMPLEX_ALIGNAS complex
{
_Tp __re_;
_Tp __im_;
template <class _Up>
friend class complex;
template <class _Up>
friend struct __get_complex_impl;
public:
using value_type = _Tp;
_CCCL_API constexpr complex(const value_type& __re = value_type(), const value_type& __im = value_type())
: __re_(__re)
, __im_(__im)
{}
template <class _Up, enable_if_t<__cccl_internal::__is_non_narrowing_convertible<_Tp, _Up>::value, int> = 0>
_CCCL_API constexpr complex(const complex<_Up>& __c)
: __re_(static_cast<_Tp>(__c.real()))
, __im_(static_cast<_Tp>(__c.imag()))
{}
template <class _Up,
enable_if_t<!__cccl_internal::__is_non_narrowing_convertible<_Tp, _Up>::value, int> = 0,
enable_if_t<_CCCL_TRAIT(is_constructible, _Tp, _Up), int> = 0>
_CCCL_API explicit constexpr complex(const complex<_Up>& __c)
: __re_(static_cast<_Tp>(__c.real()))
, __im_(static_cast<_Tp>(__c.imag()))
{}
_CCCL_API constexpr complex& operator=(const value_type& __re)
{
__re_ = __re;
__im_ = value_type();
return *this;
}
template <class _Up>
_CCCL_API constexpr complex& operator=(const complex<_Up>& __c)
{
__re_ = __c.real();
__im_ = __c.imag();
return *this;
}
#if !_CCCL_COMPILER(NVRTC)
template <class _Up>
_CCCL_API inline complex(const ::std::complex<_Up>& __other)
: __re_(_LIBCUDACXX_ACCESS_STD_COMPLEX_REAL(__other))
, __im_(_LIBCUDACXX_ACCESS_STD_COMPLEX_IMAG(__other))
{}
template <class _Up>
_CCCL_API inline complex& operator=(const ::std::complex<_Up>& __other)
{
__re_ = _LIBCUDACXX_ACCESS_STD_COMPLEX_REAL(__other);
__im_ = _LIBCUDACXX_ACCESS_STD_COMPLEX_IMAG(__other);
return *this;
}
_CCCL_HOST constexpr operator ::std::complex<_Tp>() const
{
return {__re_, __im_};
}
#endif // !_CCCL_COMPILER(NVRTC)
[[nodiscard]] _CCCL_API constexpr value_type real() const
{
return __re_;
}
[[nodiscard]] _CCCL_API constexpr value_type imag() const
{
return __im_;
}
_CCCL_API constexpr void real(value_type __re)
{
__re_ = __re;
}
_CCCL_API constexpr void imag(value_type __im)
{
__im_ = __im;
}
// Those additional volatile overloads are meant to help with reductions in thrust
[[nodiscard]] _CCCL_API inline value_type real() const volatile
{
return __re_;
}
[[nodiscard]] _CCCL_API inline value_type imag() const volatile
{
return __im_;
}
_CCCL_API inline void real(value_type __re) volatile
{
__re_ = __re;
}
_CCCL_API inline void imag(value_type __im) volatile
{
__im_ = __im;
}
_CCCL_API constexpr complex& operator+=(const value_type& __re)
{
__re_ += __re;
return *this;
}
_CCCL_API constexpr complex& operator-=(const value_type& __re)
{
__re_ -= __re;
return *this;
}
_CCCL_API constexpr complex& operator*=(const value_type& __re)
{
__re_ *= __re;
__im_ *= __re;
return *this;
}
_CCCL_API constexpr complex& operator/=(const value_type& __re)
{
__re_ /= __re;
__im_ /= __re;
return *this;
}
template <class _Up>
_CCCL_API constexpr complex& operator+=(const complex<_Up>& __c)
{
__re_ += __c.real();
__im_ += __c.imag();
return *this;
}
template <class _Up>
_CCCL_API constexpr complex& operator-=(const complex<_Up>& __c)
{
__re_ -= __c.real();
__im_ -= __c.imag();
return *this;
}
};
template <class _Tp>
inline constexpr bool __is_complex_v = false;
template <class _Tp>
inline constexpr bool __is_complex_v<complex<_Tp>> = true;
template <class _Tp, class _Up>
_CCCL_API inline _CCCL_CONSTEXPR_CXX14_COMPLEX complex<_Tp>& operator*=(complex<_Tp>& __lhs, const complex<_Up>& __rhs)
{
__lhs = __lhs * complex<_Tp>(__rhs.real(), __rhs.imag());
return __lhs;
}
template <class _Tp, class _Up>
_CCCL_API inline _CCCL_CONSTEXPR_CXX14_COMPLEX complex<_Tp>& operator/=(complex<_Tp>& __lhs, const complex<_Up>& __rhs)
{
__lhs = __lhs / complex<_Tp>(__rhs.real(), __rhs.imag());
return __lhs;
}
// 26.3.6 operators:
template <class _Tp>
[[nodiscard]] _CCCL_API constexpr complex<_Tp> operator+(const complex<_Tp>& __x, const complex<_Tp>& __y)
{
complex<_Tp> __t(__x);
__t += __y;
return __t;
}
template <class _Tp>
[[nodiscard]] _CCCL_API constexpr complex<_Tp> operator+(const complex<_Tp>& __x, const _Tp& __y)
{
complex<_Tp> __t(__x);
__t += __y;
return __t;
}
template <class _Tp>
[[nodiscard]] _CCCL_API constexpr complex<_Tp> operator+(const _Tp& __x, const complex<_Tp>& __y)
{
complex<_Tp> __t(__y);
__t += __x;
return __t;
}
template <class _Tp>
[[nodiscard]] _CCCL_API constexpr complex<_Tp> operator-(const complex<_Tp>& __x, const complex<_Tp>& __y)
{
complex<_Tp> __t(__x);
__t -= __y;
return __t;
}
template <class _Tp>
[[nodiscard]] _CCCL_API constexpr complex<_Tp> operator-(const complex<_Tp>& __x, const _Tp& __y)
{
complex<_Tp> __t(__x);
__t -= __y;
return __t;
}
template <class _Tp>
[[nodiscard]] _CCCL_API constexpr complex<_Tp> operator-(const _Tp& __x, const complex<_Tp>& __y)
{
complex<_Tp> __t(-__y);
__t += __x;
return __t;
}
template <class _Tp>
[[nodiscard]] _CCCL_API inline _CCCL_CONSTEXPR_CXX14_COMPLEX complex<_Tp>
operator*(const complex<_Tp>& __z, const complex<_Tp>& __w)
{
_Tp __a = __z.real();
_Tp __b = __z.imag();
_Tp __c = __w.real();
_Tp __d = __w.imag();
#if defined(_CCCL_BUILTIN_IS_CONSTANT_EVALUATED)
// Avoid floating point operations that are invalid during constant evaluation
if (_CUDA_VSTD::is_constant_evaluated())
{
bool __z_zero = __a == _Tp(0) && __b == _Tp(0);
bool __w_zero = __c == _Tp(0) && __d == _Tp(0);
bool __z_inf = _CUDA_VSTD::isinf(__a) || _CUDA_VSTD::isinf(__b);
bool __w_inf = _CUDA_VSTD::isinf(__c) || _CUDA_VSTD::isinf(__d);
bool __z_nan = !__z_inf
&& ((_CUDA_VSTD::isnan(__a) && _CUDA_VSTD::isnan(__b)) || (_CUDA_VSTD::isnan(__a) && __b == _Tp(0))
|| (__a == _Tp(0) && _CUDA_VSTD::isnan(__b)));
bool __w_nan = !__w_inf
&& ((_CUDA_VSTD::isnan(__c) && _CUDA_VSTD::isnan(__d)) || (_CUDA_VSTD::isnan(__c) && __d == _Tp(0))
|| (__c == _Tp(0) && _CUDA_VSTD::isnan(__d)));
if (__z_nan || __w_nan)
{
return complex<_Tp>(_Tp(numeric_limits<_Tp>::quiet_NaN()), _Tp(0));
}
if (__z_inf || __w_inf)
{
if (__z_zero || __w_zero)
{
return complex<_Tp>(_Tp(numeric_limits<_Tp>::quiet_NaN()), _Tp(0));
}
return complex<_Tp>(_Tp(numeric_limits<_Tp>::infinity()), _Tp(numeric_limits<_Tp>::infinity()));
}
bool __z_nonzero_nan = !__z_inf && !__z_nan && (_CUDA_VSTD::isnan(__a) || _CUDA_VSTD::isnan(__b));
bool __w_nonzero_nan = !__w_inf && !__w_nan && (_CUDA_VSTD::isnan(__c) || _CUDA_VSTD::isnan(__d));
if (__z_nonzero_nan || __w_nonzero_nan)
{
return complex<_Tp>(_Tp(numeric_limits<_Tp>::quiet_NaN()), _Tp(0));
}
}
#endif // _CCCL_BUILTIN_IS_CONSTANT_EVALUATED
__abcd_results<_Tp> __partials = __complex_calculate_partials(__a, __b, __c, __d);
_Tp __x = __partials.__ac - __partials.__bd;
_Tp __y = __partials.__ad + __partials.__bc;
#ifndef LIBCUDACXX_ENABLE_SIMPLIFIED_COMPLEX_MULTIPLICATION
if (_CUDA_VSTD::isnan(__x) && _CUDA_VSTD::isnan(__y))
{
bool __recalc = false;
if (_CUDA_VSTD::isinf(__a) || _CUDA_VSTD::isinf(__b))
{
__a = _CUDA_VSTD::__constexpr_copysign(_CUDA_VSTD::isinf(__a) ? _Tp(1) : _Tp(0), __a);
__b = _CUDA_VSTD::__constexpr_copysign(_CUDA_VSTD::isinf(__b) ? _Tp(1) : _Tp(0), __b);
if (_CUDA_VSTD::isnan(__c))
{
__c = _CUDA_VSTD::__constexpr_copysign(_Tp(0), __c);
}
if (_CUDA_VSTD::isnan(__d))
{
__d = _CUDA_VSTD::__constexpr_copysign(_Tp(0), __d);
}
__recalc = true;
}
if (_CUDA_VSTD::isinf(__c) || _CUDA_VSTD::isinf(__d))
{
__c = _CUDA_VSTD::__constexpr_copysign(_CUDA_VSTD::isinf(__c) ? _Tp(1) : _Tp(0), __c);
__d = _CUDA_VSTD::__constexpr_copysign(_CUDA_VSTD::isinf(__d) ? _Tp(1) : _Tp(0), __d);
if (_CUDA_VSTD::isnan(__a))
{
__a = _CUDA_VSTD::__constexpr_copysign(_Tp(0), __a);
}
if (_CUDA_VSTD::isnan(__b))
{
__b = _CUDA_VSTD::__constexpr_copysign(_Tp(0), __b);
}
__recalc = true;
}
if (!__recalc
&& (_CUDA_VSTD::isinf(__partials.__ac) || _CUDA_VSTD::isinf(__partials.__bd)
|| _CUDA_VSTD::isinf(__partials.__ad) || _CUDA_VSTD::isinf(__partials.__bc)))
{
if (_CUDA_VSTD::isnan(__a))
{
__a = _CUDA_VSTD::__constexpr_copysign(_Tp(0), __a);
}
if (_CUDA_VSTD::isnan(__b))
{
__b = _CUDA_VSTD::__constexpr_copysign(_Tp(0), __b);
}
if (_CUDA_VSTD::isnan(__c))
{
__c = _CUDA_VSTD::__constexpr_copysign(_Tp(0), __c);
}
if (_CUDA_VSTD::isnan(__d))
{
__d = _CUDA_VSTD::__constexpr_copysign(_Tp(0), __d);
}
__recalc = true;
}
if (__recalc)
{
__partials = __complex_calculate_partials(__a, __b, __c, __d);
__x = numeric_limits<_Tp>::infinity() * (__partials.__ac - __partials.__bd);
__y = numeric_limits<_Tp>::infinity() * (__partials.__ad + __partials.__bc);
}
}
#endif // LIBCUDACXX_ENABLE_SIMPLIFIED_COMPLEX_MULTIPLICATION
return complex<_Tp>(__x, __y);
}
template <class _Tp>
[[nodiscard]] _CCCL_API constexpr complex<_Tp> operator*(const complex<_Tp>& __x, const _Tp& __y)
{
complex<_Tp> __t(__x);
__t *= __y;
return __t;
}
template <class _Tp>
[[nodiscard]] _CCCL_API constexpr complex<_Tp> operator*(const _Tp& __x, const complex<_Tp>& __y)
{
complex<_Tp> __t(__y);
__t *= __x;
return __t;
}
template <class _Tp>
[[nodiscard]] _CCCL_API inline _CCCL_CONSTEXPR_CXX14_COMPLEX complex<_Tp>
operator/(const complex<_Tp>& __z, const complex<_Tp>& __w)
{
int __ilogbw = 0;
_Tp __a = __z.real();
_Tp __b = __z.imag();
_Tp __c = __w.real();
_Tp __d = __w.imag();
_Tp __logbw = _CUDA_VSTD::__constexpr_logb(
_CUDA_VSTD::__constexpr_fmax(_CUDA_VSTD::__constexpr_fabs(__c), _CUDA_VSTD::__constexpr_fabs(__d)));
if (_CUDA_VSTD::isfinite(__logbw))
{
__ilogbw = static_cast<int>(__logbw);
__c = _CUDA_VSTD::__constexpr_scalbn(__c, -__ilogbw);
__d = _CUDA_VSTD::__constexpr_scalbn(__d, -__ilogbw);
}
#if defined(_CCCL_BUILTIN_IS_CONSTANT_EVALUATED)
// Avoid floating point operations that are invalid during constant evaluation
if (_CUDA_VSTD::is_constant_evaluated())
{
bool __z_zero = __a == _Tp(0) && __b == _Tp(0);
bool __w_zero = __c == _Tp(0) && __d == _Tp(0);
bool __z_inf = _CUDA_VSTD::isinf(__a) || _CUDA_VSTD::isinf(__b);
bool __w_inf = _CUDA_VSTD::isinf(__c) || _CUDA_VSTD::isinf(__d);
bool __z_nan = !__z_inf
&& ((_CUDA_VSTD::isnan(__a) && _CUDA_VSTD::isnan(__b)) || (_CUDA_VSTD::isnan(__a) && __b == _Tp(0))
|| (__a == _Tp(0) && _CUDA_VSTD::isnan(__b)));
bool __w_nan = !__w_inf
&& ((_CUDA_VSTD::isnan(__c) && _CUDA_VSTD::isnan(__d)) || (_CUDA_VSTD::isnan(__c) && __d == _Tp(0))
|| (__c == _Tp(0) && _CUDA_VSTD::isnan(__d)));
if ((__z_nan || __w_nan) || (__z_inf && __w_inf))
{
return complex<_Tp>(_Tp(numeric_limits<_Tp>::quiet_NaN()), _Tp(0));
}
bool __z_nonzero_nan = !__z_inf && !__z_nan && (_CUDA_VSTD::isnan(__a) || _CUDA_VSTD::isnan(__b));
bool __w_nonzero_nan = !__w_inf && !__w_nan && (_CUDA_VSTD::isnan(__c) || _CUDA_VSTD::isnan(__d));
if (__z_nonzero_nan || __w_nonzero_nan)
{
if (__w_zero)
{
return complex<_Tp>(_Tp(numeric_limits<_Tp>::infinity()), _Tp(numeric_limits<_Tp>::infinity()));
}
return complex<_Tp>(_Tp(numeric_limits<_Tp>::quiet_NaN()), _Tp(0));
}
if (__w_inf)
{
return complex<_Tp>(_Tp(0), _Tp(0));
}
if (__z_inf)
{
return complex<_Tp>(_Tp(numeric_limits<_Tp>::infinity()), _Tp(numeric_limits<_Tp>::infinity()));
}
if (__w_zero)
{
if (__z_zero)
{
return complex<_Tp>(_Tp(numeric_limits<_Tp>::quiet_NaN()), _Tp(0));
}
return complex<_Tp>(_Tp(numeric_limits<_Tp>::infinity()), _Tp(numeric_limits<_Tp>::infinity()));
}
}
#endif // _CCCL_BUILTIN_IS_CONSTANT_EVALUATED
__abcd_results<_Tp> __partials = __complex_calculate_partials(__a, __b, __c, __d);
__ab_results<_Tp> __denom_vec = __complex_piecewise_mul(__c, __d, __c, __d);
_Tp __denom = __denom_vec.__a + __denom_vec.__b;
_Tp __x = _CUDA_VSTD::__constexpr_scalbn((__partials.__ac + __partials.__bd) / __denom, -__ilogbw);
_Tp __y = _CUDA_VSTD::__constexpr_scalbn((__partials.__bc - __partials.__ad) / __denom, -__ilogbw);
#ifndef LIBCUDACXX_ENABLE_SIMPLIFIED_COMPLEX_DIVISION
if (_CUDA_VSTD::isnan(__x) && _CUDA_VSTD::isnan(__y))
{
if ((__denom == _Tp(0)) && (!_CUDA_VSTD::isnan(__a) || !_CUDA_VSTD::isnan(__b)))
{
__x = _CUDA_VSTD::__constexpr_copysign(numeric_limits<_Tp>::infinity(), __c) * __a;
__y = _CUDA_VSTD::__constexpr_copysign(numeric_limits<_Tp>::infinity(), __c) * __b;
}
else if ((_CUDA_VSTD::isinf(__a) || _CUDA_VSTD::isinf(__b)) && _CUDA_VSTD::isfinite(__c)
&& _CUDA_VSTD::isfinite(__d))
{
__a = _CUDA_VSTD::__constexpr_copysign(_CUDA_VSTD::isinf(__a) ? _Tp(1) : _Tp(0), __a);
__b = _CUDA_VSTD::__constexpr_copysign(_CUDA_VSTD::isinf(__b) ? _Tp(1) : _Tp(0), __b);
__x = numeric_limits<_Tp>::infinity() * (__a * __c + __b * __d);
__y = numeric_limits<_Tp>::infinity() * (__b * __c - __a * __d);
}
else if (_CUDA_VSTD::isinf(__logbw) && __logbw > _Tp(0) && _CUDA_VSTD::isfinite(__a) && _CUDA_VSTD::isfinite(__b))
{
__c = _CUDA_VSTD::__constexpr_copysign(_CUDA_VSTD::isinf(__c) ? _Tp(1) : _Tp(0), __c);
__d = _CUDA_VSTD::__constexpr_copysign(_CUDA_VSTD::isinf(__d) ? _Tp(1) : _Tp(0), __d);
__x = _Tp(0) * (__a * __c + __b * __d);
__y = _Tp(0) * (__b * __c - __a * __d);
}
}
#endif // LIBCUDACXX_ENABLE_SIMPLIFIED_COMPLEX_DIVISION
return complex<_Tp>(__x, __y);
}
template <class _Tp>
[[nodiscard]] _CCCL_API constexpr complex<_Tp> operator/(const complex<_Tp>& __x, const _Tp& __y)
{
return complex<_Tp>(__x.real() / __y, __x.imag() / __y);
}
template <class _Tp>
[[nodiscard]] _CCCL_API constexpr complex<_Tp> operator/(const _Tp& __x, const complex<_Tp>& __y)
{
complex<_Tp> __t(__x);
__t /= __y;
return __t;
}
template <class _Tp>
[[nodiscard]] _CCCL_API constexpr complex<_Tp> operator+(const complex<_Tp>& __x)
{
return __x;
}
template <class _Tp>
[[nodiscard]] _CCCL_API constexpr complex<_Tp> operator-(const complex<_Tp>& __x)
{
return complex<_Tp>(-__x.real(), -__x.imag());
}
template <class _Tp>
[[nodiscard]] _CCCL_API constexpr bool operator==(const complex<_Tp>& __x, const complex<_Tp>& __y)
{
return __x.real() == __y.real() && __x.imag() == __y.imag();
}
template <class _Tp>
[[nodiscard]] _CCCL_API constexpr bool operator==(const complex<_Tp>& __x, const _Tp& __y)
{
return __x.real() == __y && __x.imag() == _Tp(0);
}
#if _CCCL_STD_VER <= 2017
template <class _Tp>
[[nodiscard]] _CCCL_API constexpr bool operator==(const _Tp& __x, const complex<_Tp>& __y)
{
return __x == __y.real() && _Tp(0) == __y.imag();
}
template <class _Tp>
[[nodiscard]] _CCCL_API constexpr bool operator!=(const complex<_Tp>& __x, const complex<_Tp>& __y)
{
return !(__x == __y);
}
template <class _Tp>
[[nodiscard]] _CCCL_API constexpr bool operator!=(const complex<_Tp>& __x, const _Tp& __y)
{
return !(__x == __y);
}
template <class _Tp>
[[nodiscard]] _CCCL_API constexpr bool operator!=(const _Tp& __x, const complex<_Tp>& __y)
{
return !(__x == __y);
}
#endif // _CCCL_STD_VER <= 2017
#if !_CCCL_COMPILER(NVRTC)
template <class _Tp, class _Up>
[[nodiscard]] _CCCL_API constexpr bool operator==(const complex<_Tp>& __x, const ::std::complex<_Up>& __y)
{
return __x.real() == _LIBCUDACXX_ACCESS_STD_COMPLEX_REAL(__y)
&& __x.imag() == _LIBCUDACXX_ACCESS_STD_COMPLEX_IMAG(__y);
}
# if _CCCL_STD_VER <= 2017
template <class _Tp, class _Up>
[[nodiscard]] _CCCL_API constexpr bool operator==(const ::std::complex<_Up>& __x, const complex<_Tp>& __y)
{
return __y.real() == _LIBCUDACXX_ACCESS_STD_COMPLEX_REAL(__x)
&& __y.imag() == _LIBCUDACXX_ACCESS_STD_COMPLEX_IMAG(__x);
}
template <class _Tp, class _Up>
[[nodiscard]] _CCCL_API constexpr bool operator!=(const complex<_Tp>& __x, const ::std::complex<_Up>& __y)
{
return !(__x == __y);
}
template <class _Tp, class _Up>
[[nodiscard]] _CCCL_API constexpr bool operator!=(const ::std::complex<_Up>& __x, const complex<_Tp>& __y)
{
return !(__x == __y);
}
# endif // _CCCL_STD_VER <= 2017
#endif // !_CCCL_COMPILER(NVRTC)
// real
template <class _Tp>
[[nodiscard]] _CCCL_API constexpr _Tp real(const complex<_Tp>& __c)
{
return __c.real();
}
// 26.3.7 values:
template <class _Tp, bool = _CCCL_TRAIT(is_integral, _Tp), bool = _CCCL_TRAIT(is_floating_point, _Tp)>
struct __cccl_complex_overload_traits
{};
// Integral Types
template <class _Tp>
struct __cccl_complex_overload_traits<_Tp, true, false>
{
using _ValueType = double;
using _ComplexType = complex<double>;
};
// Floating point types
template <class _Tp>
struct __cccl_complex_overload_traits<_Tp, false, true>
{
using _ValueType = _Tp;
using _ComplexType = complex<_Tp>;
};
template <class _Tp>
using __cccl_complex_value_type = typename __cccl_complex_overload_traits<_Tp>::_ValueType;
template <class _Tp>
using __cccl_complex_complex_type = typename __cccl_complex_overload_traits<_Tp>::_ComplexType;
template <class _Tp>
[[nodiscard]] _CCCL_API constexpr __cccl_complex_value_type<_Tp> real(_Tp __re)
{
return __re;
}
// imag
template <class _Tp>
[[nodiscard]] _CCCL_API constexpr _Tp imag(const complex<_Tp>& __c)
{
return __c.imag();
}
template <class _Tp>
[[nodiscard]] _CCCL_API constexpr __cccl_complex_value_type<_Tp> imag(_Tp)
{
return 0;
}
#if !_CCCL_COMPILER(NVRTC)
template <class _Tp, class _CharT, class _Traits>
::std::basic_istream<_CharT, _Traits>& operator>>(::std::basic_istream<_CharT, _Traits>& __is, complex<_Tp>& __x)
{
::std::complex<_Tp> __temp;
__is >> __temp;
__x = __temp;
return __is;
}
template <class _Tp, class _CharT, class _Traits>
::std::basic_ostream<_CharT, _Traits>& operator<<(::std::basic_ostream<_CharT, _Traits>& __os, const complex<_Tp>& __x)
{
return __os << static_cast<::std::complex<_Tp>>(__x);
}
#endif // !_CCCL_COMPILER(NVRTC)
_LIBCUDACXX_END_NAMESPACE_STD
#include <cuda/std/__cccl/epilogue.h>
#endif // _LIBCUDACXX___COMPLEX_COMPLEX_H
|
