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1// The template and inlines for the -*- C++ -*- internal _Meta class.
2
3// Copyright (C) 1997-2025 Free Software Foundation, Inc.
4//
5// This file is part of the GNU ISO C++ Library. This library is free
6// software; you can redistribute it and/or modify it under the
7// terms of the GNU General Public License as published by the
8// Free Software Foundation; either version 3, or (at your option)
9// any later version.
10
11// This library is distributed in the hope that it will be useful,
12// but WITHOUT ANY WARRANTY; without even the implied warranty of
13// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
14// GNU General Public License for more details.
15
16// Under Section 7 of GPL version 3, you are granted additional
17// permissions described in the GCC Runtime Library Exception, version
18// 3.1, as published by the Free Software Foundation.
19
20// You should have received a copy of the GNU General Public License and
21// a copy of the GCC Runtime Library Exception along with this program;
22// see the files COPYING3 and COPYING.RUNTIME respectively. If not, see
23// <http://www.gnu.org/licenses/>.
24
25/** @file bits/valarray_after.h
26 * This is an internal header file, included by other library headers.
27 * Do not attempt to use it directly. @headername{valarray}
28 */
29
30// Written by Gabriel Dos Reis <Gabriel.Dos-Reis@cmla.ens-cachan.fr>
31
32#ifndef _VALARRAY_AFTER_H
33#define _VALARRAY_AFTER_H 1
34
35#ifdef _GLIBCXX_SYSHDR
36#pragma GCC system_header
37#endif
38
39namespace std _GLIBCXX_VISIBILITY(default)
40{
41_GLIBCXX_BEGIN_NAMESPACE_VERSION
42
43namespace __detail
44{
45 //
46 // gslice_array closure.
47 //
48 template<class _Dom>
49 class _GBase
50 {
51 public:
52 typedef typename _Dom::value_type value_type;
53
54 _GBase (const _Dom& __e, const valarray<size_t>& __i)
55 : _M_expr (__e), _M_index(__i) {}
56
57 value_type
58 operator[] (size_t __i) const
59 { return _M_expr[_M_index[__i]]; }
60
61 size_t
62 size () const
63 { return _M_index.size(); }
64
65 private:
66 typename _ValArrayRef<_Dom>::__type _M_expr;
67 const valarray<size_t>& _M_index;
68 };
69
70 template<typename _Tp>
71 class _GBase<_Array<_Tp> >
72 {
73 public:
74 typedef _Tp value_type;
75
76 _GBase (_Array<_Tp> __a, const valarray<size_t>& __i)
77 : _M_array (__a), _M_index(__i) {}
78
79 value_type
80 operator[] (size_t __i) const
81 { return _M_array._M_data[_M_index[__i]]; }
82
83 size_t
84 size () const
85 { return _M_index.size(); }
86
87 private:
88 const _Array<_Tp> _M_array;
89 const valarray<size_t>& _M_index;
90 };
91
92 template<class _Dom>
93 struct _GClos<_Expr, _Dom>
94 : _GBase<_Dom>
95 {
96 typedef _GBase<_Dom> _Base;
97 typedef typename _Base::value_type value_type;
98
99 _GClos (const _Dom& __e, const valarray<size_t>& __i)
100 : _Base (__e, __i) {}
101 };
102
103 template<typename _Tp>
104 struct _GClos<_ValArray, _Tp>
105 : _GBase<_Array<_Tp> >
106 {
107 typedef _GBase<_Array<_Tp> > _Base;
108 typedef typename _Base::value_type value_type;
109
110 _GClos (_Array<_Tp> __a, const valarray<size_t>& __i)
111 : _Base (__a, __i) {}
112 };
113
114 //
115 // indirect_array closure
116 //
117 template<class _Dom>
118 class _IBase
119 {
120 public:
121 typedef typename _Dom::value_type value_type;
122
123 _IBase (const _Dom& __e, const valarray<size_t>& __i)
124 : _M_expr (__e), _M_index (__i) {}
125
126 value_type
127 operator[] (size_t __i) const
128 { return _M_expr[_M_index[__i]]; }
129
130 size_t
131 size() const
132 { return _M_index.size(); }
133
134 private:
135 typename _ValArrayRef<_Dom>::__type _M_expr;
136 const valarray<size_t>& _M_index;
137 };
138
139 template<class _Dom>
140 struct _IClos<_Expr, _Dom>
141 : _IBase<_Dom>
142 {
143 typedef _IBase<_Dom> _Base;
144 typedef typename _Base::value_type value_type;
145
146 _IClos (const _Dom& __e, const valarray<size_t>& __i)
147 : _Base (__e, __i) {}
148 };
149
150 template<typename _Tp>
151 struct _IClos<_ValArray, _Tp>
152 : _IBase<valarray<_Tp> >
153 {
154 typedef _IBase<valarray<_Tp> > _Base;
155 typedef _Tp value_type;
156
157 _IClos (const valarray<_Tp>& __a, const valarray<size_t>& __i)
158 : _Base (__a, __i) {}
159 };
160} // namespace __detail
161
162 //
163 // class _Expr
164 //
165 template<class _Clos, typename _Tp>
166 class _Expr
167 {
168 public:
169 typedef _Tp value_type;
170
171 _Expr(const _Clos&);
172
173 const _Clos& operator()() const;
174
175 value_type operator[](size_t) const;
176 valarray<value_type> operator[](slice) const;
177 valarray<value_type> operator[](const gslice&) const;
178 valarray<value_type> operator[](const valarray<bool>&) const;
179 valarray<value_type> operator[](const valarray<size_t>&) const;
180
181 _Expr<_UnClos<__unary_plus, std::_Expr, _Clos>, value_type>
182 operator+() const;
183
184 _Expr<_UnClos<__negate, std::_Expr, _Clos>, value_type>
185 operator-() const;
186
187 _Expr<_UnClos<__bitwise_not, std::_Expr, _Clos>, value_type>
188 operator~() const;
189
190 _Expr<_UnClos<__logical_not, std::_Expr, _Clos>, bool>
191 operator!() const;
192
193 size_t size() const;
194 value_type sum() const;
195
196 valarray<value_type> shift(int) const;
197 valarray<value_type> cshift(int) const;
198
199 value_type min() const;
200 value_type max() const;
201
202 valarray<value_type> apply(value_type (*)(const value_type&)) const;
203 valarray<value_type> apply(value_type (*)(value_type)) const;
204
205 private:
206 const _Clos _M_closure;
207 };
208
209 template<class _Clos, typename _Tp>
210 inline
211 _Expr<_Clos, _Tp>::_Expr(const _Clos& __c) : _M_closure(__c) {}
212
213 template<class _Clos, typename _Tp>
214 inline const _Clos&
215 _Expr<_Clos, _Tp>::operator()() const
216 { return _M_closure; }
217
218 template<class _Clos, typename _Tp>
219 inline _Tp
220 _Expr<_Clos, _Tp>::operator[](size_t __i) const
221 { return _M_closure[__i]; }
222
223 template<class _Clos, typename _Tp>
224 inline valarray<_Tp>
225 _Expr<_Clos, _Tp>::operator[](slice __s) const
226 {
227 valarray<_Tp> __v = valarray<_Tp>(*this)[__s];
228 return __v;
229 }
230
231 template<class _Clos, typename _Tp>
232 inline valarray<_Tp>
233 _Expr<_Clos, _Tp>::operator[](const gslice& __gs) const
234 {
235 valarray<_Tp> __v = valarray<_Tp>(*this)[__gs];
236 return __v;
237 }
238
239 template<class _Clos, typename _Tp>
240 inline valarray<_Tp>
241 _Expr<_Clos, _Tp>::operator[](const valarray<bool>& __m) const
242 {
243 valarray<_Tp> __v = valarray<_Tp>(*this)[__m];
244 return __v;
245 }
246
247 template<class _Clos, typename _Tp>
248 inline valarray<_Tp>
249 _Expr<_Clos, _Tp>::operator[](const valarray<size_t>& __i) const
250 {
251 valarray<_Tp> __v = valarray<_Tp>(*this)[__i];
252 return __v;
253 }
254
255 template<class _Clos, typename _Tp>
256 inline size_t
257 _Expr<_Clos, _Tp>::size() const
258 { return _M_closure.size(); }
259
260 template<class _Clos, typename _Tp>
261 inline valarray<_Tp>
262 _Expr<_Clos, _Tp>::shift(int __n) const
263 {
264 valarray<_Tp> __v = valarray<_Tp>(*this).shift(__n);
265 return __v;
266 }
267
268 template<class _Clos, typename _Tp>
269 inline valarray<_Tp>
270 _Expr<_Clos, _Tp>::cshift(int __n) const
271 {
272 valarray<_Tp> __v = valarray<_Tp>(*this).cshift(__n);
273 return __v;
274 }
275
276 template<class _Clos, typename _Tp>
277 inline valarray<_Tp>
278 _Expr<_Clos, _Tp>::apply(_Tp __f(const _Tp&)) const
279 {
280 valarray<_Tp> __v = valarray<_Tp>(*this).apply(__f);
281 return __v;
282 }
283
284 template<class _Clos, typename _Tp>
285 inline valarray<_Tp>
286 _Expr<_Clos, _Tp>::apply(_Tp __f(_Tp)) const
287 {
288 valarray<_Tp> __v = valarray<_Tp>(*this).apply(__f);
289 return __v;
290 }
291
292 // XXX: replace this with a more robust summation algorithm.
293 template<class _Clos, typename _Tp>
294 inline _Tp
295 _Expr<_Clos, _Tp>::sum() const
296 {
297 size_t __n = _M_closure.size();
298 if (__n == 0)
299 return _Tp();
300 else
301 {
302 _Tp __s = _M_closure[--__n];
303 while (__n != 0)
304 __s += _M_closure[--__n];
305 return __s;
306 }
307 }
308
309 template<class _Clos, typename _Tp>
310 inline _Tp
311 _Expr<_Clos, _Tp>::min() const
312 { return __valarray_min(_M_closure); }
313
314 template<class _Clos, typename _Tp>
315 inline _Tp
316 _Expr<_Clos, _Tp>::max() const
317 { return __valarray_max(_M_closure); }
318
319 template<class _Dom, typename _Tp>
320 inline _Expr<_UnClos<__logical_not, _Expr, _Dom>, bool>
321 _Expr<_Dom, _Tp>::operator!() const
322 {
323 typedef _UnClos<__logical_not, std::_Expr, _Dom> _Closure;
324 return _Expr<_Closure, bool>(_Closure(this->_M_closure));
325 }
326
327#define _DEFINE_EXPR_UNARY_OPERATOR(_Op, _Name) \
328 template<class _Dom, typename _Tp> \
329 inline _Expr<_UnClos<_Name, std::_Expr, _Dom>, _Tp> \
330 _Expr<_Dom, _Tp>::operator _Op() const \
331 { \
332 typedef _UnClos<_Name, std::_Expr, _Dom> _Closure; \
333 return _Expr<_Closure, _Tp>(_Closure(this->_M_closure)); \
334 }
335
336 _DEFINE_EXPR_UNARY_OPERATOR(+, struct std::__unary_plus)
337 _DEFINE_EXPR_UNARY_OPERATOR(-, struct std::__negate)
338 _DEFINE_EXPR_UNARY_OPERATOR(~, struct std::__bitwise_not)
339
340#undef _DEFINE_EXPR_UNARY_OPERATOR
341
342#define _DEFINE_EXPR_BINARY_OPERATOR(_Op, _Name) \
343 template<class _Dom1, class _Dom2> \
344 inline _Expr<_BinClos<_Name, _Expr, _Expr, _Dom1, _Dom2>, \
345 typename __fun<_Name, typename _Dom1::value_type>::result_type> \
346 operator _Op(const _Expr<_Dom1, typename _Dom1::value_type>& __v, \
347 const _Expr<_Dom2, typename _Dom2::value_type>& __w) \
348 { \
349 typedef typename _Dom1::value_type _Arg; \
350 typedef typename __fun<_Name, _Arg>::result_type _Value; \
351 typedef _BinClos<_Name, _Expr, _Expr, _Dom1, _Dom2> _Closure; \
352 return _Expr<_Closure, _Value>(_Closure(__v(), __w())); \
353 } \
354 \
355 template<class _Dom> \
356 inline _Expr<_BinClos<_Name, _Expr, _Constant, _Dom, \
357 typename _Dom::value_type>, \
358 typename __fun<_Name, typename _Dom::value_type>::result_type> \
359 operator _Op(const _Expr<_Dom, typename _Dom::value_type>& __v, \
360 const typename _Dom::value_type& __t) \
361 { \
362 typedef typename _Dom::value_type _Arg; \
363 typedef typename __fun<_Name, _Arg>::result_type _Value; \
364 typedef _BinClos<_Name, _Expr, _Constant, _Dom, _Arg> _Closure; \
365 return _Expr<_Closure, _Value>(_Closure(__v(), __t)); \
366 } \
367 \
368 template<class _Dom> \
369 inline _Expr<_BinClos<_Name, _Constant, _Expr, \
370 typename _Dom::value_type, _Dom>, \
371 typename __fun<_Name, typename _Dom::value_type>::result_type> \
372 operator _Op(const typename _Dom::value_type& __t, \
373 const _Expr<_Dom, typename _Dom::value_type>& __v) \
374 { \
375 typedef typename _Dom::value_type _Arg; \
376 typedef typename __fun<_Name, _Arg>::result_type _Value; \
377 typedef _BinClos<_Name, _Constant, _Expr, _Arg, _Dom> _Closure; \
378 return _Expr<_Closure, _Value>(_Closure(__t, __v())); \
379 } \
380 \
381 template<class _Dom> \
382 inline _Expr<_BinClos<_Name, _Expr, _ValArray, \
383 _Dom, typename _Dom::value_type>, \
384 typename __fun<_Name, typename _Dom::value_type>::result_type> \
385 operator _Op(const _Expr<_Dom,typename _Dom::value_type>& __e, \
386 const valarray<typename _Dom::value_type>& __v) \
387 { \
388 typedef typename _Dom::value_type _Arg; \
389 typedef typename __fun<_Name, _Arg>::result_type _Value; \
390 typedef _BinClos<_Name, _Expr, _ValArray, _Dom, _Arg> _Closure; \
391 return _Expr<_Closure, _Value>(_Closure(__e(), __v)); \
392 } \
393 \
394 template<class _Dom> \
395 inline _Expr<_BinClos<_Name, _ValArray, _Expr, \
396 typename _Dom::value_type, _Dom>, \
397 typename __fun<_Name, typename _Dom::value_type>::result_type> \
398 operator _Op(const valarray<typename _Dom::value_type>& __v, \
399 const _Expr<_Dom, typename _Dom::value_type>& __e) \
400 { \
401 typedef typename _Dom::value_type _Tp; \
402 typedef typename __fun<_Name, _Tp>::result_type _Value; \
403 typedef _BinClos<_Name, _ValArray, _Expr, _Tp, _Dom> _Closure; \
404 return _Expr<_Closure, _Value>(_Closure(__v, __e ())); \
405 }
406
407 _DEFINE_EXPR_BINARY_OPERATOR(+, struct std::__plus)
408 _DEFINE_EXPR_BINARY_OPERATOR(-, struct std::__minus)
409 _DEFINE_EXPR_BINARY_OPERATOR(*, struct std::__multiplies)
410 _DEFINE_EXPR_BINARY_OPERATOR(/, struct std::__divides)
411 _DEFINE_EXPR_BINARY_OPERATOR(%, struct std::__modulus)
412 _DEFINE_EXPR_BINARY_OPERATOR(^, struct std::__bitwise_xor)
413 _DEFINE_EXPR_BINARY_OPERATOR(&, struct std::__bitwise_and)
414 _DEFINE_EXPR_BINARY_OPERATOR(|, struct std::__bitwise_or)
415 _DEFINE_EXPR_BINARY_OPERATOR(<<, struct std::__shift_left)
416 _DEFINE_EXPR_BINARY_OPERATOR(>>, struct std::__shift_right)
417 _DEFINE_EXPR_BINARY_OPERATOR(&&, struct std::__logical_and)
418 _DEFINE_EXPR_BINARY_OPERATOR(||, struct std::__logical_or)
419 _DEFINE_EXPR_BINARY_OPERATOR(==, struct std::__equal_to)
420 _DEFINE_EXPR_BINARY_OPERATOR(!=, struct std::__not_equal_to)
421 _DEFINE_EXPR_BINARY_OPERATOR(<, struct std::__less)
422 _DEFINE_EXPR_BINARY_OPERATOR(>, struct std::__greater)
423 _DEFINE_EXPR_BINARY_OPERATOR(<=, struct std::__less_equal)
424 _DEFINE_EXPR_BINARY_OPERATOR(>=, struct std::__greater_equal)
425
426#undef _DEFINE_EXPR_BINARY_OPERATOR
427
428#define _DEFINE_EXPR_UNARY_FUNCTION(_Name, _UName) \
429 template<class _Dom> \
430 inline _Expr<_UnClos<_UName, _Expr, _Dom>, \
431 typename _Dom::value_type> \
432 _Name(const _Expr<_Dom, typename _Dom::value_type>& __e) \
433 { \
434 typedef typename _Dom::value_type _Tp; \
435 typedef _UnClos<_UName, _Expr, _Dom> _Closure; \
436 return _Expr<_Closure, _Tp>(_Closure(__e())); \
437 } \
438 \
439 template<typename _Tp> \
440 inline _Expr<_UnClos<_UName, _ValArray, _Tp>, _Tp> \
441 _Name(const valarray<_Tp>& __v) \
442 { \
443 typedef _UnClos<_UName, _ValArray, _Tp> _Closure; \
444 return _Expr<_Closure, _Tp>(_Closure(__v)); \
445 }
446
447 _DEFINE_EXPR_UNARY_FUNCTION(abs, struct std::_Abs)
448 _DEFINE_EXPR_UNARY_FUNCTION(cos, struct std::_Cos)
449 _DEFINE_EXPR_UNARY_FUNCTION(acos, struct std::_Acos)
450 _DEFINE_EXPR_UNARY_FUNCTION(cosh, struct std::_Cosh)
451 _DEFINE_EXPR_UNARY_FUNCTION(sin, struct std::_Sin)
452 _DEFINE_EXPR_UNARY_FUNCTION(asin, struct std::_Asin)
453 _DEFINE_EXPR_UNARY_FUNCTION(sinh, struct std::_Sinh)
454 _DEFINE_EXPR_UNARY_FUNCTION(tan, struct std::_Tan)
455 _DEFINE_EXPR_UNARY_FUNCTION(tanh, struct std::_Tanh)
456 _DEFINE_EXPR_UNARY_FUNCTION(atan, struct std::_Atan)
457 _DEFINE_EXPR_UNARY_FUNCTION(exp, struct std::_Exp)
458 _DEFINE_EXPR_UNARY_FUNCTION(log, struct std::_Log)
459 _DEFINE_EXPR_UNARY_FUNCTION(log10, struct std::_Log10)
460 _DEFINE_EXPR_UNARY_FUNCTION(sqrt, struct std::_Sqrt)
461
462#undef _DEFINE_EXPR_UNARY_FUNCTION
463
464#define _DEFINE_EXPR_BINARY_FUNCTION(_Fun, _UFun) \
465 template<class _Dom1, class _Dom2> \
466 inline _Expr<_BinClos<_UFun, _Expr, _Expr, _Dom1, _Dom2>, \
467 typename _Dom1::value_type> \
468 _Fun(const _Expr<_Dom1, typename _Dom1::value_type>& __e1, \
469 const _Expr<_Dom2, typename _Dom2::value_type>& __e2) \
470 { \
471 typedef typename _Dom1::value_type _Tp; \
472 typedef _BinClos<_UFun, _Expr, _Expr, _Dom1, _Dom2> _Closure; \
473 return _Expr<_Closure, _Tp>(_Closure(__e1(), __e2())); \
474 } \
475 \
476 template<class _Dom> \
477 inline _Expr<_BinClos<_UFun, _Expr, _ValArray, _Dom, \
478 typename _Dom::value_type>, \
479 typename _Dom::value_type> \
480 _Fun(const _Expr<_Dom, typename _Dom::value_type>& __e, \
481 const valarray<typename _Dom::value_type>& __v) \
482 { \
483 typedef typename _Dom::value_type _Tp; \
484 typedef _BinClos<_UFun, _Expr, _ValArray, _Dom, _Tp> _Closure; \
485 return _Expr<_Closure, _Tp>(_Closure(__e(), __v)); \
486 } \
487 \
488 template<class _Dom> \
489 inline _Expr<_BinClos<_UFun, _ValArray, _Expr, \
490 typename _Dom::value_type, _Dom>, \
491 typename _Dom::value_type> \
492 _Fun(const valarray<typename _Dom::valarray>& __v, \
493 const _Expr<_Dom, typename _Dom::value_type>& __e) \
494 { \
495 typedef typename _Dom::value_type _Tp; \
496 typedef _BinClos<_UFun, _ValArray, _Expr, _Tp, _Dom> _Closure; \
497 return _Expr<_Closure, _Tp>(_Closure(__v, __e())); \
498 } \
499 \
500 template<class _Dom> \
501 inline _Expr<_BinClos<_UFun, _Expr, _Constant, _Dom, \
502 typename _Dom::value_type>, \
503 typename _Dom::value_type> \
504 _Fun(const _Expr<_Dom, typename _Dom::value_type>& __e, \
505 const typename _Dom::value_type& __t) \
506 { \
507 typedef typename _Dom::value_type _Tp; \
508 typedef _BinClos<_UFun, _Expr, _Constant, _Dom, _Tp> _Closure; \
509 return _Expr<_Closure, _Tp>(_Closure(__e(), __t)); \
510 } \
511 \
512 template<class _Dom> \
513 inline _Expr<_BinClos<_UFun, _Constant, _Expr, \
514 typename _Dom::value_type, _Dom>, \
515 typename _Dom::value_type> \
516 _Fun(const typename _Dom::value_type& __t, \
517 const _Expr<_Dom, typename _Dom::value_type>& __e) \
518 { \
519 typedef typename _Dom::value_type _Tp; \
520 typedef _BinClos<_UFun, _Constant, _Expr, _Tp, _Dom> _Closure; \
521 return _Expr<_Closure, _Tp>(_Closure(__t, __e())); \
522 } \
523 \
524 template<typename _Tp> \
525 inline _Expr<_BinClos<_UFun, _ValArray, _ValArray, _Tp, _Tp>, _Tp> \
526 _Fun(const valarray<_Tp>& __v, const valarray<_Tp>& __w) \
527 { \
528 typedef _BinClos<_UFun, _ValArray, _ValArray, _Tp, _Tp> _Closure;\
529 return _Expr<_Closure, _Tp>(_Closure(__v, __w)); \
530 } \
531 \
532 template<typename _Tp> \
533 inline _Expr<_BinClos<_UFun, _ValArray, _Constant, _Tp, _Tp>, _Tp> \
534 _Fun(const valarray<_Tp>& __v, \
535 const typename valarray<_Tp>::value_type& __t) \
536 { \
537 typedef _BinClos<_UFun, _ValArray, _Constant, _Tp, _Tp> _Closure;\
538 return _Expr<_Closure, _Tp>(_Closure(__v, __t)); \
539 } \
540 \
541 template<typename _Tp> \
542 inline _Expr<_BinClos<_UFun, _Constant, _ValArray, _Tp, _Tp>, _Tp> \
543 _Fun(const typename valarray<_Tp>::value_type& __t, \
544 const valarray<_Tp>& __v) \
545 { \
546 typedef _BinClos<_UFun, _Constant, _ValArray, _Tp, _Tp> _Closure;\
547 return _Expr<_Closure, _Tp>(_Closure(__t, __v)); \
548 }
549
550_DEFINE_EXPR_BINARY_FUNCTION(atan2, struct std::_Atan2)
551_DEFINE_EXPR_BINARY_FUNCTION(pow, struct std::_Pow)
552
553#undef _DEFINE_EXPR_BINARY_FUNCTION
554
555_GLIBCXX_END_NAMESPACE_VERSION
556} // namespace
557
558#endif /* _CPP_VALARRAY_AFTER_H */