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1 : // Boost operators.hpp header file ----------------------------------------//
2 :
3 : // (C) Copyright David Abrahams, Jeremy Siek, Daryle Walker 1999-2001.
4 : // (C) Copyright Daniel Frey 2002-2017.
5 : // Distributed under the Boost Software License, Version 1.0. (See
6 : // accompanying file LICENSE_1_0.txt or copy at
7 : // http://www.boost.org/LICENSE_1_0.txt)
8 :
9 : // See http://www.boost.org/libs/utility/operators.htm for documentation.
10 :
11 : // Revision History
12 : // 23 Nov 17 Protect dereferenceable<> from overloaded operator&.
13 : // 15 Oct 17 Adapted to C++17, replace std::iterator<> with manual
14 : // implementation.
15 : // 22 Feb 16 Added ADL protection, preserve old work-arounds in
16 : // operators_v1.hpp and clean up this file. (Daniel Frey)
17 : // 16 Dec 10 Limit warning suppression for 4284 to older versions of VC++
18 : // (Matthew Bradbury, fixes #4432)
19 : // 07 Aug 08 Added "euclidean" spelling. (Daniel Frey)
20 : // 03 Apr 08 Make sure "convertible to bool" is sufficient
21 : // for T::operator<, etc. (Daniel Frey)
22 : // 24 May 07 Changed empty_base to depend on T, see
23 : // http://svn.boost.org/trac/boost/ticket/979
24 : // 21 Oct 02 Modified implementation of operators to allow compilers with a
25 : // correct named return value optimization (NRVO) to produce optimal
26 : // code. (Daniel Frey)
27 : // 02 Dec 01 Bug fixed in random_access_iteratable. (Helmut Zeisel)
28 : // 28 Sep 01 Factored out iterator operator groups. (Daryle Walker)
29 : // 27 Aug 01 'left' form for non commutative operators added;
30 : // additional classes for groups of related operators added;
31 : // workaround for empty base class optimization
32 : // bug of GCC 3.0 (Helmut Zeisel)
33 : // 25 Jun 01 output_iterator_helper changes: removed default template
34 : // parameters, added support for self-proxying, additional
35 : // documentation and tests (Aleksey Gurtovoy)
36 : // 29 May 01 Added operator classes for << and >>. Added input and output
37 : // iterator helper classes. Added classes to connect equality and
38 : // relational operators. Added classes for groups of related
39 : // operators. Reimplemented example operator and iterator helper
40 : // classes in terms of the new groups. (Daryle Walker, with help
41 : // from Alexy Gurtovoy)
42 : // 11 Feb 01 Fixed bugs in the iterator helpers which prevented explicitly
43 : // supplied arguments from actually being used (Dave Abrahams)
44 : // 04 Jul 00 Fixed NO_OPERATORS_IN_NAMESPACE bugs, major cleanup and
45 : // refactoring of compiler workarounds, additional documentation
46 : // (Alexy Gurtovoy and Mark Rodgers with some help and prompting from
47 : // Dave Abrahams)
48 : // 28 Jun 00 General cleanup and integration of bugfixes from Mark Rodgers and
49 : // Jeremy Siek (Dave Abrahams)
50 : // 20 Jun 00 Changes to accommodate Borland C++Builder 4 and Borland C++ 5.5
51 : // (Mark Rodgers)
52 : // 20 Jun 00 Minor fixes to the prior revision (Aleksey Gurtovoy)
53 : // 10 Jun 00 Support for the base class chaining technique was added
54 : // (Aleksey Gurtovoy). See documentation and the comments below
55 : // for the details.
56 : // 12 Dec 99 Initial version with iterator operators (Jeremy Siek)
57 : // 18 Nov 99 Change name "divideable" to "dividable", remove unnecessary
58 : // specializations of dividable, subtractable, modable (Ed Brey)
59 : // 17 Nov 99 Add comments (Beman Dawes)
60 : // Remove unnecessary specialization of operators<> (Ed Brey)
61 : // 15 Nov 99 Fix less_than_comparable<T,U> second operand type for first two
62 : // operators.(Beman Dawes)
63 : // 12 Nov 99 Add operators templates (Ed Brey)
64 : // 11 Nov 99 Add single template parameter version for compilers without
65 : // partial specialization (Beman Dawes)
66 : // 10 Nov 99 Initial version
67 :
68 : // 10 Jun 00:
69 : // An additional optional template parameter was added to most of
70 : // operator templates to support the base class chaining technique (see
71 : // documentation for the details). Unfortunately, a straightforward
72 : // implementation of this change would have broken compatibility with the
73 : // previous version of the library by making it impossible to use the same
74 : // template name (e.g. 'addable') for both the 1- and 2-argument versions of
75 : // an operator template. This implementation solves the backward-compatibility
76 : // issue at the cost of some simplicity.
77 : //
78 : // One of the complications is an existence of special auxiliary class template
79 : // 'is_chained_base<>' (see 'operators_detail' namespace below), which is used
80 : // to determine whether its template parameter is a library's operator template
81 : // or not. You have to specialize 'is_chained_base<>' for each new
82 : // operator template you add to the library.
83 : //
84 : // However, most of the non-trivial implementation details are hidden behind
85 : // several local macros defined below, and as soon as you understand them,
86 : // you understand the whole library implementation.
87 :
88 : #ifndef BOOST_OPERATORS_HPP
89 : #define BOOST_OPERATORS_HPP
90 :
91 : // If old work-arounds are needed, refer to the preserved version without
92 : // ADL protection.
93 : #if defined(BOOST_NO_OPERATORS_IN_NAMESPACE) || defined(BOOST_USE_OPERATORS_V1)
94 : #include "operators_v1.hpp"
95 : #else
96 :
97 : #include <cstddef>
98 : #include <iterator>
99 :
100 : #include <boost/config.hpp>
101 : #include <boost/detail/workaround.hpp>
102 : #include <boost/core/addressof.hpp>
103 :
104 : #if defined(__sgi) && !defined(__GNUC__)
105 : # pragma set woff 1234
106 : #endif
107 :
108 : #if BOOST_WORKAROUND(BOOST_MSVC, < 1600)
109 : # pragma warning( disable : 4284 ) // complaint about return type of
110 : #endif // operator-> not begin a UDT
111 :
112 : // Define BOOST_OPERATORS_CONSTEXPR to be like BOOST_CONSTEXPR but empty under MSVC < v19.22
113 : #if BOOST_WORKAROUND(BOOST_MSVC, < 1922)
114 : #define BOOST_OPERATORS_CONSTEXPR
115 : #elif defined __sun
116 : #define BOOST_OPERATORS_CONSTEXPR
117 : #else
118 : #define BOOST_OPERATORS_CONSTEXPR BOOST_CONSTEXPR
119 : #endif
120 :
121 : // In this section we supply the xxxx1 and xxxx2 forms of the operator
122 : // templates, which are explicitly targeted at the 1-type-argument and
123 : // 2-type-argument operator forms, respectively.
124 :
125 : namespace boost
126 : {
127 : namespace operators_impl
128 : {
129 : namespace operators_detail
130 : {
131 :
132 : template <typename T> class empty_base {};
133 :
134 : } // namespace operators_detail
135 :
136 : // Basic operator classes (contributed by Dave Abrahams) ------------------//
137 :
138 : // Note that friend functions defined in a class are implicitly inline.
139 : // See the C++ std, 11.4 [class.friend] paragraph 5
140 :
141 : template <class T, class U, class B = operators_detail::empty_base<T> >
142 : struct less_than_comparable2 : B
143 : {
144 : friend BOOST_OPERATORS_CONSTEXPR bool operator<=(const T& x, const U& y) { return !static_cast<bool>(x > y); }
145 : friend BOOST_OPERATORS_CONSTEXPR bool operator>=(const T& x, const U& y) { return !static_cast<bool>(x < y); }
146 : friend BOOST_OPERATORS_CONSTEXPR bool operator>(const U& x, const T& y) { return y < x; }
147 : friend BOOST_OPERATORS_CONSTEXPR bool operator<(const U& x, const T& y) { return y > x; }
148 : friend BOOST_OPERATORS_CONSTEXPR bool operator<=(const U& x, const T& y) { return !static_cast<bool>(y < x); }
149 : friend BOOST_OPERATORS_CONSTEXPR bool operator>=(const U& x, const T& y) { return !static_cast<bool>(y > x); }
150 : };
151 :
152 : template <class T, class B = operators_detail::empty_base<T> >
153 : struct less_than_comparable1 : B
154 : {
155 2500 : friend BOOST_OPERATORS_CONSTEXPR bool operator>(const T& x, const T& y) { return y < x; }
156 : friend BOOST_OPERATORS_CONSTEXPR bool operator<=(const T& x, const T& y) { return !static_cast<bool>(y < x); }
157 : friend BOOST_OPERATORS_CONSTEXPR bool operator>=(const T& x, const T& y) { return !static_cast<bool>(x < y); }
158 : };
159 :
160 : template <class T, class U, class B = operators_detail::empty_base<T> >
161 : struct equality_comparable2 : B
162 : {
163 : friend BOOST_OPERATORS_CONSTEXPR bool operator==(const U& y, const T& x) { return x == y; }
164 : friend BOOST_OPERATORS_CONSTEXPR bool operator!=(const U& y, const T& x) { return !static_cast<bool>(x == y); }
165 : friend BOOST_OPERATORS_CONSTEXPR bool operator!=(const T& y, const U& x) { return !static_cast<bool>(y == x); }
166 : };
167 :
168 : template <class T, class B = operators_detail::empty_base<T> >
169 : struct equality_comparable1 : B
170 : {
171 46541230 : friend BOOST_OPERATORS_CONSTEXPR bool operator!=(const T& x, const T& y) { return !static_cast<bool>(x == y); }
172 : };
173 :
174 : // A macro which produces "name_2left" from "name".
175 : #define BOOST_OPERATOR2_LEFT(name) name##2##_##left
176 :
177 : // NRVO-friendly implementation (contributed by Daniel Frey) ---------------//
178 :
179 : #if defined(BOOST_HAS_NRVO) || defined(BOOST_FORCE_SYMMETRIC_OPERATORS)
180 :
181 : // This is the optimal implementation for ISO/ANSI C++,
182 : // but it requires the compiler to implement the NRVO.
183 : // If the compiler has no NRVO, this is the best symmetric
184 : // implementation available.
185 :
186 : #define BOOST_BINARY_OPERATOR_COMMUTATIVE( NAME, OP ) \
187 : template <class T, class U, class B = operators_detail::empty_base<T> > \
188 : struct NAME##2 : B \
189 : { \
190 : friend T operator OP( const T& lhs, const U& rhs ) \
191 : { T nrv( lhs ); nrv OP##= rhs; return nrv; } \
192 : friend T operator OP( const U& lhs, const T& rhs ) \
193 : { T nrv( rhs ); nrv OP##= lhs; return nrv; } \
194 : }; \
195 : \
196 : template <class T, class B = operators_detail::empty_base<T> > \
197 : struct NAME##1 : B \
198 : { \
199 : friend T operator OP( const T& lhs, const T& rhs ) \
200 : { T nrv( lhs ); nrv OP##= rhs; return nrv; } \
201 : };
202 :
203 : #define BOOST_BINARY_OPERATOR_NON_COMMUTATIVE( NAME, OP ) \
204 : template <class T, class U, class B = operators_detail::empty_base<T> > \
205 : struct NAME##2 : B \
206 : { \
207 : friend T operator OP( const T& lhs, const U& rhs ) \
208 : { T nrv( lhs ); nrv OP##= rhs; return nrv; } \
209 : }; \
210 : \
211 : template <class T, class U, class B = operators_detail::empty_base<T> > \
212 : struct BOOST_OPERATOR2_LEFT(NAME) : B \
213 : { \
214 : friend T operator OP( const U& lhs, const T& rhs ) \
215 : { T nrv( lhs ); nrv OP##= rhs; return nrv; } \
216 : }; \
217 : \
218 : template <class T, class B = operators_detail::empty_base<T> > \
219 : struct NAME##1 : B \
220 : { \
221 : friend T operator OP( const T& lhs, const T& rhs ) \
222 : { T nrv( lhs ); nrv OP##= rhs; return nrv; } \
223 : };
224 :
225 : #else // defined(BOOST_HAS_NRVO) || defined(BOOST_FORCE_SYMMETRIC_OPERATORS)
226 :
227 : // For compilers without NRVO the following code is optimal, but not
228 : // symmetric! Note that the implementation of
229 : // BOOST_OPERATOR2_LEFT(NAME) only looks cool, but doesn't provide
230 : // optimization opportunities to the compiler :)
231 :
232 : #define BOOST_BINARY_OPERATOR_COMMUTATIVE( NAME, OP ) \
233 : template <class T, class U, class B = operators_detail::empty_base<T> > \
234 : struct NAME##2 : B \
235 : { \
236 : friend T operator OP( T lhs, const U& rhs ) { return lhs OP##= rhs; } \
237 : friend T operator OP( const U& lhs, T rhs ) { return rhs OP##= lhs; } \
238 : }; \
239 : \
240 : template <class T, class B = operators_detail::empty_base<T> > \
241 : struct NAME##1 : B \
242 : { \
243 : friend T operator OP( T lhs, const T& rhs ) { return lhs OP##= rhs; } \
244 : };
245 :
246 : #define BOOST_BINARY_OPERATOR_NON_COMMUTATIVE( NAME, OP ) \
247 : template <class T, class U, class B = operators_detail::empty_base<T> > \
248 : struct NAME##2 : B \
249 : { \
250 : friend T operator OP( T lhs, const U& rhs ) { return lhs OP##= rhs; } \
251 : }; \
252 : \
253 : template <class T, class U, class B = operators_detail::empty_base<T> > \
254 : struct BOOST_OPERATOR2_LEFT(NAME) : B \
255 : { \
256 : friend T operator OP( const U& lhs, const T& rhs ) \
257 : { return T( lhs ) OP##= rhs; } \
258 : }; \
259 : \
260 : template <class T, class B = operators_detail::empty_base<T> > \
261 : struct NAME##1 : B \
262 : { \
263 : friend T operator OP( T lhs, const T& rhs ) { return lhs OP##= rhs; } \
264 : };
265 :
266 : #endif // defined(BOOST_HAS_NRVO) || defined(BOOST_FORCE_SYMMETRIC_OPERATORS)
267 :
268 : BOOST_BINARY_OPERATOR_COMMUTATIVE( multipliable, * )
269 : BOOST_BINARY_OPERATOR_COMMUTATIVE( addable, + )
270 : BOOST_BINARY_OPERATOR_NON_COMMUTATIVE( subtractable, - )
271 : BOOST_BINARY_OPERATOR_NON_COMMUTATIVE( dividable, / )
272 : BOOST_BINARY_OPERATOR_NON_COMMUTATIVE( modable, % )
273 : BOOST_BINARY_OPERATOR_COMMUTATIVE( xorable, ^ )
274 : BOOST_BINARY_OPERATOR_COMMUTATIVE( andable, & )
275 : BOOST_BINARY_OPERATOR_COMMUTATIVE( orable, | )
276 :
277 : #undef BOOST_BINARY_OPERATOR_COMMUTATIVE
278 : #undef BOOST_BINARY_OPERATOR_NON_COMMUTATIVE
279 : #undef BOOST_OPERATOR2_LEFT
280 :
281 : // incrementable and decrementable contributed by Jeremy Siek
282 :
283 : template <class T, class B = operators_detail::empty_base<T> >
284 : struct incrementable : B
285 : {
286 76481 : friend T operator++(T& x, int)
287 : {
288 76481 : incrementable_type nrv(x);
289 76481 : ++x;
290 76481 : return nrv;
291 : }
292 : private: // The use of this typedef works around a Borland bug
293 : typedef T incrementable_type;
294 : };
295 :
296 : template <class T, class B = operators_detail::empty_base<T> >
297 : struct decrementable : B
298 : {
299 : friend T operator--(T& x, int)
300 : {
301 : decrementable_type nrv(x);
302 : --x;
303 : return nrv;
304 : }
305 : private: // The use of this typedef works around a Borland bug
306 : typedef T decrementable_type;
307 : };
308 :
309 : // Iterator operator classes (contributed by Jeremy Siek) ------------------//
310 :
311 : template <class T, class P, class B = operators_detail::empty_base<T> >
312 : struct dereferenceable : B
313 : {
314 536130283 : P operator->() const
315 : {
316 536130283 : return ::boost::addressof(*static_cast<const T&>(*this));
317 : }
318 : };
319 :
320 : template <class T, class I, class R, class B = operators_detail::empty_base<T> >
321 : struct indexable : B
322 : {
323 : R operator[](I n) const
324 : {
325 : return *(static_cast<const T&>(*this) + n);
326 : }
327 : };
328 :
329 : // More operator classes (contributed by Daryle Walker) --------------------//
330 : // (NRVO-friendly implementation contributed by Daniel Frey) ---------------//
331 :
332 : #if defined(BOOST_HAS_NRVO) || defined(BOOST_FORCE_SYMMETRIC_OPERATORS)
333 :
334 : #define BOOST_BINARY_OPERATOR( NAME, OP ) \
335 : template <class T, class U, class B = operators_detail::empty_base<T> > \
336 : struct NAME##2 : B \
337 : { \
338 : friend T operator OP( const T& lhs, const U& rhs ) \
339 : { T nrv( lhs ); nrv OP##= rhs; return nrv; } \
340 : }; \
341 : \
342 : template <class T, class B = operators_detail::empty_base<T> > \
343 : struct NAME##1 : B \
344 : { \
345 : friend T operator OP( const T& lhs, const T& rhs ) \
346 : { T nrv( lhs ); nrv OP##= rhs; return nrv; } \
347 : };
348 :
349 : #else // defined(BOOST_HAS_NRVO) || defined(BOOST_FORCE_SYMMETRIC_OPERATORS)
350 :
351 : #define BOOST_BINARY_OPERATOR( NAME, OP ) \
352 : template <class T, class U, class B = operators_detail::empty_base<T> > \
353 : struct NAME##2 : B \
354 : { \
355 : friend T operator OP( T lhs, const U& rhs ) { return lhs OP##= rhs; } \
356 : }; \
357 : \
358 : template <class T, class B = operators_detail::empty_base<T> > \
359 : struct NAME##1 : B \
360 : { \
361 : friend T operator OP( T lhs, const T& rhs ) { return lhs OP##= rhs; } \
362 : };
363 :
364 : #endif // defined(BOOST_HAS_NRVO) || defined(BOOST_FORCE_SYMMETRIC_OPERATORS)
365 :
366 : BOOST_BINARY_OPERATOR( left_shiftable, << )
367 : BOOST_BINARY_OPERATOR( right_shiftable, >> )
368 :
369 : #undef BOOST_BINARY_OPERATOR
370 :
371 : template <class T, class U, class B = operators_detail::empty_base<T> >
372 : struct equivalent2 : B
373 : {
374 : friend BOOST_OPERATORS_CONSTEXPR bool operator==(const T& x, const U& y)
375 : {
376 : return !static_cast<bool>(x < y) && !static_cast<bool>(x > y);
377 : }
378 : };
379 :
380 : template <class T, class B = operators_detail::empty_base<T> >
381 : struct equivalent1 : B
382 : {
383 : friend BOOST_OPERATORS_CONSTEXPR bool operator==(const T&x, const T&y)
384 : {
385 : return !static_cast<bool>(x < y) && !static_cast<bool>(y < x);
386 : }
387 : };
388 :
389 : template <class T, class U, class B = operators_detail::empty_base<T> >
390 : struct partially_ordered2 : B
391 : {
392 : friend BOOST_OPERATORS_CONSTEXPR bool operator<=(const T& x, const U& y)
393 : { return static_cast<bool>(x < y) || static_cast<bool>(x == y); }
394 : friend BOOST_OPERATORS_CONSTEXPR bool operator>=(const T& x, const U& y)
395 : { return static_cast<bool>(x > y) || static_cast<bool>(x == y); }
396 : friend BOOST_OPERATORS_CONSTEXPR bool operator>(const U& x, const T& y)
397 : { return y < x; }
398 : friend BOOST_OPERATORS_CONSTEXPR bool operator<(const U& x, const T& y)
399 : { return y > x; }
400 : friend BOOST_OPERATORS_CONSTEXPR bool operator<=(const U& x, const T& y)
401 : { return static_cast<bool>(y > x) || static_cast<bool>(y == x); }
402 : friend BOOST_OPERATORS_CONSTEXPR bool operator>=(const U& x, const T& y)
403 : { return static_cast<bool>(y < x) || static_cast<bool>(y == x); }
404 : };
405 :
406 : template <class T, class B = operators_detail::empty_base<T> >
407 : struct partially_ordered1 : B
408 : {
409 : friend BOOST_OPERATORS_CONSTEXPR bool operator>(const T& x, const T& y)
410 : { return y < x; }
411 : friend BOOST_OPERATORS_CONSTEXPR bool operator<=(const T& x, const T& y)
412 : { return static_cast<bool>(x < y) || static_cast<bool>(x == y); }
413 : friend BOOST_OPERATORS_CONSTEXPR bool operator>=(const T& x, const T& y)
414 : { return static_cast<bool>(y < x) || static_cast<bool>(x == y); }
415 : };
416 :
417 : // Combined operator classes (contributed by Daryle Walker) ----------------//
418 :
419 : template <class T, class U, class B = operators_detail::empty_base<T> >
420 : struct totally_ordered2
421 : : less_than_comparable2<T, U
422 : , equality_comparable2<T, U, B
423 : > > {};
424 :
425 : template <class T, class B = operators_detail::empty_base<T> >
426 : struct totally_ordered1
427 : : less_than_comparable1<T
428 : , equality_comparable1<T, B
429 : > > {};
430 :
431 : template <class T, class U, class B = operators_detail::empty_base<T> >
432 : struct additive2
433 : : addable2<T, U
434 : , subtractable2<T, U, B
435 : > > {};
436 :
437 : template <class T, class B = operators_detail::empty_base<T> >
438 : struct additive1
439 : : addable1<T
440 : , subtractable1<T, B
441 : > > {};
442 :
443 : template <class T, class U, class B = operators_detail::empty_base<T> >
444 : struct multiplicative2
445 : : multipliable2<T, U
446 : , dividable2<T, U, B
447 : > > {};
448 :
449 : template <class T, class B = operators_detail::empty_base<T> >
450 : struct multiplicative1
451 : : multipliable1<T
452 : , dividable1<T, B
453 : > > {};
454 :
455 : template <class T, class U, class B = operators_detail::empty_base<T> >
456 : struct integer_multiplicative2
457 : : multiplicative2<T, U
458 : , modable2<T, U, B
459 : > > {};
460 :
461 : template <class T, class B = operators_detail::empty_base<T> >
462 : struct integer_multiplicative1
463 : : multiplicative1<T
464 : , modable1<T, B
465 : > > {};
466 :
467 : template <class T, class U, class B = operators_detail::empty_base<T> >
468 : struct arithmetic2
469 : : additive2<T, U
470 : , multiplicative2<T, U, B
471 : > > {};
472 :
473 : template <class T, class B = operators_detail::empty_base<T> >
474 : struct arithmetic1
475 : : additive1<T
476 : , multiplicative1<T, B
477 : > > {};
478 :
479 : template <class T, class U, class B = operators_detail::empty_base<T> >
480 : struct integer_arithmetic2
481 : : additive2<T, U
482 : , integer_multiplicative2<T, U, B
483 : > > {};
484 :
485 : template <class T, class B = operators_detail::empty_base<T> >
486 : struct integer_arithmetic1
487 : : additive1<T
488 : , integer_multiplicative1<T, B
489 : > > {};
490 :
491 : template <class T, class U, class B = operators_detail::empty_base<T> >
492 : struct bitwise2
493 : : xorable2<T, U
494 : , andable2<T, U
495 : , orable2<T, U, B
496 : > > > {};
497 :
498 : template <class T, class B = operators_detail::empty_base<T> >
499 : struct bitwise1
500 : : xorable1<T
501 : , andable1<T
502 : , orable1<T, B
503 : > > > {};
504 :
505 : template <class T, class B = operators_detail::empty_base<T> >
506 : struct unit_steppable
507 : : incrementable<T
508 : , decrementable<T, B
509 : > > {};
510 :
511 : template <class T, class U, class B = operators_detail::empty_base<T> >
512 : struct shiftable2
513 : : left_shiftable2<T, U
514 : , right_shiftable2<T, U, B
515 : > > {};
516 :
517 : template <class T, class B = operators_detail::empty_base<T> >
518 : struct shiftable1
519 : : left_shiftable1<T
520 : , right_shiftable1<T, B
521 : > > {};
522 :
523 : template <class T, class U, class B = operators_detail::empty_base<T> >
524 : struct ring_operators2
525 : : additive2<T, U
526 : , subtractable2_left<T, U
527 : , multipliable2<T, U, B
528 : > > > {};
529 :
530 : template <class T, class B = operators_detail::empty_base<T> >
531 : struct ring_operators1
532 : : additive1<T
533 : , multipliable1<T, B
534 : > > {};
535 :
536 : template <class T, class U, class B = operators_detail::empty_base<T> >
537 : struct ordered_ring_operators2
538 : : ring_operators2<T, U
539 : , totally_ordered2<T, U, B
540 : > > {};
541 :
542 : template <class T, class B = operators_detail::empty_base<T> >
543 : struct ordered_ring_operators1
544 : : ring_operators1<T
545 : , totally_ordered1<T, B
546 : > > {};
547 :
548 : template <class T, class U, class B = operators_detail::empty_base<T> >
549 : struct field_operators2
550 : : ring_operators2<T, U
551 : , dividable2<T, U
552 : , dividable2_left<T, U, B
553 : > > > {};
554 :
555 : template <class T, class B = operators_detail::empty_base<T> >
556 : struct field_operators1
557 : : ring_operators1<T
558 : , dividable1<T, B
559 : > > {};
560 :
561 : template <class T, class U, class B = operators_detail::empty_base<T> >
562 : struct ordered_field_operators2
563 : : field_operators2<T, U
564 : , totally_ordered2<T, U, B
565 : > > {};
566 :
567 : template <class T, class B = operators_detail::empty_base<T> >
568 : struct ordered_field_operators1
569 : : field_operators1<T
570 : , totally_ordered1<T, B
571 : > > {};
572 :
573 : template <class T, class U, class B = operators_detail::empty_base<T> >
574 : struct euclidian_ring_operators2
575 : : ring_operators2<T, U
576 : , dividable2<T, U
577 : , dividable2_left<T, U
578 : , modable2<T, U
579 : , modable2_left<T, U, B
580 : > > > > > {};
581 :
582 : template <class T, class B = operators_detail::empty_base<T> >
583 : struct euclidian_ring_operators1
584 : : ring_operators1<T
585 : , dividable1<T
586 : , modable1<T, B
587 : > > > {};
588 :
589 : template <class T, class U, class B = operators_detail::empty_base<T> >
590 : struct ordered_euclidian_ring_operators2
591 : : totally_ordered2<T, U
592 : , euclidian_ring_operators2<T, U, B
593 : > > {};
594 :
595 : template <class T, class B = operators_detail::empty_base<T> >
596 : struct ordered_euclidian_ring_operators1
597 : : totally_ordered1<T
598 : , euclidian_ring_operators1<T, B
599 : > > {};
600 :
601 : template <class T, class U, class B = operators_detail::empty_base<T> >
602 : struct euclidean_ring_operators2
603 : : ring_operators2<T, U
604 : , dividable2<T, U
605 : , dividable2_left<T, U
606 : , modable2<T, U
607 : , modable2_left<T, U, B
608 : > > > > > {};
609 :
610 : template <class T, class B = operators_detail::empty_base<T> >
611 : struct euclidean_ring_operators1
612 : : ring_operators1<T
613 : , dividable1<T
614 : , modable1<T, B
615 : > > > {};
616 :
617 : template <class T, class U, class B = operators_detail::empty_base<T> >
618 : struct ordered_euclidean_ring_operators2
619 : : totally_ordered2<T, U
620 : , euclidean_ring_operators2<T, U, B
621 : > > {};
622 :
623 : template <class T, class B = operators_detail::empty_base<T> >
624 : struct ordered_euclidean_ring_operators1
625 : : totally_ordered1<T
626 : , euclidean_ring_operators1<T, B
627 : > > {};
628 :
629 : template <class T, class P, class B = operators_detail::empty_base<T> >
630 : struct input_iteratable
631 : : equality_comparable1<T
632 : , incrementable<T
633 : , dereferenceable<T, P, B
634 : > > > {};
635 :
636 : template <class T, class B = operators_detail::empty_base<T> >
637 : struct output_iteratable
638 : : incrementable<T, B
639 : > {};
640 :
641 : template <class T, class P, class B = operators_detail::empty_base<T> >
642 : struct forward_iteratable
643 : : input_iteratable<T, P, B
644 : > {};
645 :
646 : template <class T, class P, class B = operators_detail::empty_base<T> >
647 : struct bidirectional_iteratable
648 : : forward_iteratable<T, P
649 : , decrementable<T, B
650 : > > {};
651 :
652 : // To avoid repeated derivation from equality_comparable,
653 : // which is an indirect base class of bidirectional_iterable,
654 : // random_access_iteratable must not be derived from totally_ordered1
655 : // but from less_than_comparable1 only. (Helmut Zeisel, 02-Dec-2001)
656 : template <class T, class P, class D, class R, class B = operators_detail::empty_base<T> >
657 : struct random_access_iteratable
658 : : bidirectional_iteratable<T, P
659 : , less_than_comparable1<T
660 : , additive2<T, D
661 : , indexable<T, D, R, B
662 : > > > > {};
663 :
664 :
665 : //
666 : // Here's where we put it all together, defining the xxxx forms of the templates.
667 : // We also define specializations of is_chained_base<> for
668 : // the xxxx, xxxx1, and xxxx2 templates.
669 : //
670 :
671 : namespace operators_detail
672 : {
673 :
674 : // A type parameter is used instead of a plain bool because Borland's compiler
675 : // didn't cope well with the more obvious non-type template parameter.
676 : struct true_t {};
677 : struct false_t {};
678 :
679 : } // namespace operators_detail
680 :
681 : // is_chained_base<> - a traits class used to distinguish whether an operator
682 : // template argument is being used for base class chaining, or is specifying a
683 : // 2nd argument type.
684 :
685 : // Unspecialized version assumes that most types are not being used for base
686 : // class chaining. We specialize for the operator templates defined in this
687 : // library.
688 : template<class T> struct is_chained_base {
689 : typedef operators_detail::false_t value;
690 : };
691 :
692 : // Provide a specialization of 'is_chained_base<>'
693 : // for a 4-type-argument operator template.
694 : # define BOOST_OPERATOR_TEMPLATE4(template_name4) \
695 : template<class T, class U, class V, class W, class B> \
696 : struct is_chained_base< template_name4<T, U, V, W, B> > { \
697 : typedef operators_detail::true_t value; \
698 : };
699 :
700 : // Provide a specialization of 'is_chained_base<>'
701 : // for a 3-type-argument operator template.
702 : # define BOOST_OPERATOR_TEMPLATE3(template_name3) \
703 : template<class T, class U, class V, class B> \
704 : struct is_chained_base< template_name3<T, U, V, B> > { \
705 : typedef operators_detail::true_t value; \
706 : };
707 :
708 : // Provide a specialization of 'is_chained_base<>'
709 : // for a 2-type-argument operator template.
710 : # define BOOST_OPERATOR_TEMPLATE2(template_name2) \
711 : template<class T, class U, class B> \
712 : struct is_chained_base< template_name2<T, U, B> > { \
713 : typedef operators_detail::true_t value; \
714 : };
715 :
716 : // Provide a specialization of 'is_chained_base<>'
717 : // for a 1-type-argument operator template.
718 : # define BOOST_OPERATOR_TEMPLATE1(template_name1) \
719 : template<class T, class B> \
720 : struct is_chained_base< template_name1<T, B> > { \
721 : typedef operators_detail::true_t value; \
722 : };
723 :
724 : // BOOST_OPERATOR_TEMPLATE(template_name) defines template_name<> such that it
725 : // can be used for specifying both 1-argument and 2-argument forms. Requires the
726 : // existence of two previously defined class templates named '<template_name>1'
727 : // and '<template_name>2' which must implement the corresponding 1- and 2-
728 : // argument forms.
729 : //
730 : // The template type parameter O == is_chained_base<U>::value is used to
731 : // distinguish whether the 2nd argument to <template_name> is being used for
732 : // base class chaining from another boost operator template or is describing a
733 : // 2nd operand type. O == true_t only when U is actually an another operator
734 : // template from the library. Partial specialization is used to select an
735 : // implementation in terms of either '<template_name>1' or '<template_name>2'.
736 : //
737 :
738 : # define BOOST_OPERATOR_TEMPLATE(template_name) \
739 : template <class T \
740 : ,class U = T \
741 : ,class B = operators_detail::empty_base<T> \
742 : ,class O = typename is_chained_base<U>::value \
743 : > \
744 : struct template_name; \
745 : \
746 : template<class T, class U, class B> \
747 : struct template_name<T, U, B, operators_detail::false_t> \
748 : : template_name##2<T, U, B> {}; \
749 : \
750 : template<class T, class U> \
751 : struct template_name<T, U, operators_detail::empty_base<T>, operators_detail::true_t> \
752 : : template_name##1<T, U> {}; \
753 : \
754 : template <class T, class B> \
755 : struct template_name<T, T, B, operators_detail::false_t> \
756 : : template_name##1<T, B> {}; \
757 : \
758 : template<class T, class U, class B, class O> \
759 : struct is_chained_base< template_name<T, U, B, O> > { \
760 : typedef operators_detail::true_t value; \
761 : }; \
762 : \
763 : BOOST_OPERATOR_TEMPLATE2(template_name##2) \
764 : BOOST_OPERATOR_TEMPLATE1(template_name##1)
765 :
766 : BOOST_OPERATOR_TEMPLATE(less_than_comparable)
767 : BOOST_OPERATOR_TEMPLATE(equality_comparable)
768 : BOOST_OPERATOR_TEMPLATE(multipliable)
769 : BOOST_OPERATOR_TEMPLATE(addable)
770 : BOOST_OPERATOR_TEMPLATE(subtractable)
771 : BOOST_OPERATOR_TEMPLATE2(subtractable2_left)
772 : BOOST_OPERATOR_TEMPLATE(dividable)
773 : BOOST_OPERATOR_TEMPLATE2(dividable2_left)
774 : BOOST_OPERATOR_TEMPLATE(modable)
775 : BOOST_OPERATOR_TEMPLATE2(modable2_left)
776 : BOOST_OPERATOR_TEMPLATE(xorable)
777 : BOOST_OPERATOR_TEMPLATE(andable)
778 : BOOST_OPERATOR_TEMPLATE(orable)
779 :
780 : BOOST_OPERATOR_TEMPLATE1(incrementable)
781 : BOOST_OPERATOR_TEMPLATE1(decrementable)
782 :
783 : BOOST_OPERATOR_TEMPLATE2(dereferenceable)
784 : BOOST_OPERATOR_TEMPLATE3(indexable)
785 :
786 : BOOST_OPERATOR_TEMPLATE(left_shiftable)
787 : BOOST_OPERATOR_TEMPLATE(right_shiftable)
788 : BOOST_OPERATOR_TEMPLATE(equivalent)
789 : BOOST_OPERATOR_TEMPLATE(partially_ordered)
790 :
791 : BOOST_OPERATOR_TEMPLATE(totally_ordered)
792 : BOOST_OPERATOR_TEMPLATE(additive)
793 : BOOST_OPERATOR_TEMPLATE(multiplicative)
794 : BOOST_OPERATOR_TEMPLATE(integer_multiplicative)
795 : BOOST_OPERATOR_TEMPLATE(arithmetic)
796 : BOOST_OPERATOR_TEMPLATE(integer_arithmetic)
797 : BOOST_OPERATOR_TEMPLATE(bitwise)
798 : BOOST_OPERATOR_TEMPLATE1(unit_steppable)
799 : BOOST_OPERATOR_TEMPLATE(shiftable)
800 : BOOST_OPERATOR_TEMPLATE(ring_operators)
801 : BOOST_OPERATOR_TEMPLATE(ordered_ring_operators)
802 : BOOST_OPERATOR_TEMPLATE(field_operators)
803 : BOOST_OPERATOR_TEMPLATE(ordered_field_operators)
804 : BOOST_OPERATOR_TEMPLATE(euclidian_ring_operators)
805 : BOOST_OPERATOR_TEMPLATE(ordered_euclidian_ring_operators)
806 : BOOST_OPERATOR_TEMPLATE(euclidean_ring_operators)
807 : BOOST_OPERATOR_TEMPLATE(ordered_euclidean_ring_operators)
808 : BOOST_OPERATOR_TEMPLATE2(input_iteratable)
809 : BOOST_OPERATOR_TEMPLATE1(output_iteratable)
810 : BOOST_OPERATOR_TEMPLATE2(forward_iteratable)
811 : BOOST_OPERATOR_TEMPLATE2(bidirectional_iteratable)
812 : BOOST_OPERATOR_TEMPLATE4(random_access_iteratable)
813 :
814 : #undef BOOST_OPERATOR_TEMPLATE
815 : #undef BOOST_OPERATOR_TEMPLATE4
816 : #undef BOOST_OPERATOR_TEMPLATE3
817 : #undef BOOST_OPERATOR_TEMPLATE2
818 : #undef BOOST_OPERATOR_TEMPLATE1
819 :
820 : template <class T, class U>
821 : struct operators2
822 : : totally_ordered2<T,U
823 : , integer_arithmetic2<T,U
824 : , bitwise2<T,U
825 : > > > {};
826 :
827 : template <class T, class U = T>
828 : struct operators : operators2<T, U> {};
829 :
830 : template <class T> struct operators<T, T>
831 : : totally_ordered<T
832 : , integer_arithmetic<T
833 : , bitwise<T
834 : , unit_steppable<T
835 : > > > > {};
836 :
837 : // Iterator helper classes (contributed by Jeremy Siek) -------------------//
838 : // (Input and output iterator helpers contributed by Daryle Walker) -------//
839 : // (Changed to use combined operator classes by Daryle Walker) ------------//
840 : // (Adapted to C++17 by Daniel Frey) --------------------------------------//
841 : template <class Category,
842 : class T,
843 : class Distance = std::ptrdiff_t,
844 : class Pointer = T*,
845 : class Reference = T&>
846 : struct iterator_helper
847 : {
848 : typedef Category iterator_category;
849 : typedef T value_type;
850 : typedef Distance difference_type;
851 : typedef Pointer pointer;
852 : typedef Reference reference;
853 : };
854 :
855 : template <class T,
856 : class V,
857 : class D = std::ptrdiff_t,
858 : class P = V const *,
859 : class R = V const &>
860 : struct input_iterator_helper
861 : : input_iteratable<T, P
862 : , iterator_helper<std::input_iterator_tag, V, D, P, R
863 : > > {};
864 :
865 : template<class T>
866 : struct output_iterator_helper
867 : : output_iteratable<T
868 : , iterator_helper<std::output_iterator_tag, void, void, void, void
869 : > >
870 : {
871 : T& operator*() { return static_cast<T&>(*this); }
872 : T& operator++() { return static_cast<T&>(*this); }
873 : };
874 :
875 : template <class T,
876 : class V,
877 : class D = std::ptrdiff_t,
878 : class P = V*,
879 : class R = V&>
880 : struct forward_iterator_helper
881 : : forward_iteratable<T, P
882 : , iterator_helper<std::forward_iterator_tag, V, D, P, R
883 : > > {};
884 :
885 : template <class T,
886 : class V,
887 : class D = std::ptrdiff_t,
888 : class P = V*,
889 : class R = V&>
890 : struct bidirectional_iterator_helper
891 : : bidirectional_iteratable<T, P
892 : , iterator_helper<std::bidirectional_iterator_tag, V, D, P, R
893 : > > {};
894 :
895 : template <class T,
896 : class V,
897 : class D = std::ptrdiff_t,
898 : class P = V*,
899 : class R = V&>
900 : struct random_access_iterator_helper
901 : : random_access_iteratable<T, P, D, R
902 : , iterator_helper<std::random_access_iterator_tag, V, D, P, R
903 : > >
904 : {
905 : friend D requires_difference_operator(const T& x, const T& y) {
906 : return x - y;
907 : }
908 : }; // random_access_iterator_helper
909 :
910 : } // namespace operators_impl
911 : using namespace operators_impl;
912 :
913 : } // namespace boost
914 :
915 : #if defined(__sgi) && !defined(__GNUC__)
916 : #pragma reset woff 1234
917 : #endif
918 :
919 : #endif // BOOST_NO_OPERATORS_IN_NAMESPACE
920 : #endif // BOOST_OPERATORS_HPP
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