mp.hpp
12 KB
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
// Copyright Peter Dimov 2015-2021.
// Copyright Matt Borland 2021.
// Use, modification and distribution are subject to the
// Boost Software License, Version 1.0. (See accompanying file
// LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
//
// Template metaprogramming classes and functions to replace MPL
// Source: http://www.pdimov.com/cpp2/simple_cxx11_metaprogramming.html
// Source: https://github.com/boostorg/mp11/
#ifndef BOOST_MATH_TOOLS_MP
#define BOOST_MATH_TOOLS_MP
#include <type_traits>
#include <cstddef>
#include <utility>
namespace boost { namespace math { namespace tools { namespace meta_programming {
// Types:
// Typelist
template<typename... T>
struct mp_list {};
// Size_t
template<std::size_t N>
using mp_size_t = std::integral_constant<std::size_t, N>;
// Boolean
template<bool B>
using mp_bool = std::integral_constant<bool, B>;
// Identity
template<typename T>
struct mp_identity
{
using type = T;
};
// Turns struct into quoted metafunction
template<template<typename...> class F>
struct mp_quote_trait
{
template<typename... T>
using fn = typename F<T...>::type;
};
namespace detail {
// Size
template<typename L>
struct mp_size_impl {};
template<template<typename...> class L, typename... T> // Template template parameter must use class
struct mp_size_impl<L<T...>>
{
using type = std::integral_constant<std::size_t, sizeof...(T)>;
};
}
template<typename T>
using mp_size = typename detail::mp_size_impl<T>::type;
namespace detail {
// Front
template<typename L>
struct mp_front_impl {};
template<template<typename...> class L, typename T1, typename... T>
struct mp_front_impl<L<T1, T...>>
{
using type = T1;
};
}
template<typename T>
using mp_front = typename detail::mp_front_impl<T>::type;
namespace detail {
// At
// TODO - Use tree based lookup for larger typelists
// http://odinthenerd.blogspot.com/2017/04/tree-based-lookup-why-kvasirmpl-is.html
template<typename L, std::size_t>
struct mp_at_c {};
template<template<typename...> class L, typename T0, typename... T>
struct mp_at_c<L<T0, T...>, 0>
{
using type = T0;
};
template<template<typename...> class L, typename T0, typename T1, typename... T>
struct mp_at_c<L<T0, T1, T...>, 1>
{
using type = T1;
};
template<template<typename...> class L, typename T0, typename T1, typename T2, typename... T>
struct mp_at_c<L<T0, T1, T2, T...>, 2>
{
using type = T2;
};
template<template<typename...> class L, typename T0, typename T1, typename T2, typename T3, typename... T>
struct mp_at_c<L<T0, T1, T2, T3, T...>, 3>
{
using type = T3;
};
template<template<typename...> class L, typename T0, typename T1, typename T2, typename T3, typename T4, typename... T>
struct mp_at_c<L<T0, T1, T2, T3, T4, T...>, 4>
{
using type = T4;
};
template<template<typename...> class L, typename T0, typename T1, typename T2, typename T3, typename T4, typename T5, typename... T>
struct mp_at_c<L<T0, T1, T2, T3, T4, T5, T...>, 5>
{
using type = T5;
};
template<template<typename...> class L, typename T0, typename T1, typename T2, typename T3, typename T4, typename T5, typename T6,
typename... T>
struct mp_at_c<L<T0, T1, T2, T3, T4, T5, T6, T...>, 6>
{
using type = T6;
};
template<template<typename...> class L, typename T0, typename T1, typename T2, typename T3, typename T4, typename T5, typename T6,
typename T7, typename... T>
struct mp_at_c<L<T0, T1, T2, T3, T4, T5, T6, T7, T...>, 7>
{
using type = T7;
};
template<template<typename...> class L, typename T0, typename T1, typename T2, typename T3, typename T4, typename T5, typename T6,
typename T7, typename T8, typename... T>
struct mp_at_c<L<T0, T1, T2, T3, T4, T5, T6, T7, T8, T...>, 8>
{
using type = T8;
};
template<template<typename...> class L, typename T0, typename T1, typename T2, typename T3, typename T4, typename T5, typename T6,
typename T7, typename T8, typename T9, typename... T>
struct mp_at_c<L<T0, T1, T2, T3, T4, T5, T6, T7, T8, T9, T...>, 9>
{
using type = T9;
};
template<template<typename...> class L, typename T0, typename T1, typename T2, typename T3, typename T4, typename T5, typename T6,
typename T7, typename T8, typename T9, typename T10, typename... T>
struct mp_at_c<L<T0, T1, T2, T3, T4, T5, T6, T7, T8, T9, T10, T...>, 10>
{
using type = T10;
};
template<template<typename...> class L, typename T0, typename T1, typename T2, typename T3, typename T4, typename T5, typename T6,
typename T7, typename T8, typename T9, typename T10, typename T11, typename... T>
struct mp_at_c<L<T0, T1, T2, T3, T4, T5, T6, T7, T8, T9, T10, T11, T...>, 11>
{
using type = T11;
};
template<template<typename...> class L, typename T0, typename T1, typename T2, typename T3, typename T4, typename T5, typename T6,
typename T7, typename T8, typename T9, typename T10, typename T11, typename T12, typename... T>
struct mp_at_c<L<T0, T1, T2, T3, T4, T5, T6, T7, T8, T9, T10, T11, T12, T...>, 12>
{
using type = T12;
};
}
template<typename L, std::size_t I>
using mp_at_c = typename detail::mp_at_c<L, I>::type;
template<typename L, typename I>
using mp_at = typename detail::mp_at_c<L, I::value>::type;
// Back
template<typename L>
using mp_back = mp_at_c<L, mp_size<L>::value - 1>;
namespace detail {
// Push back
template<typename L, typename... T>
struct mp_push_back_impl {};
template<template<typename...> class L, typename... U, typename... T>
struct mp_push_back_impl<L<U...>, T...>
{
using type = L<U..., T...>;
};
}
template<typename L, typename... T>
using mp_push_back = typename detail::mp_push_back_impl<L, T...>::type;
namespace detail {
// Push front
template<typename L, typename... T>
struct mp_push_front_impl {};
template<template<typename...> class L, typename... U, typename... T>
struct mp_push_front_impl<L<U...>, T...>
{
using type = L<T..., U...>;
};
}
template<typename L, typename... T>
using mp_push_front = typename detail::mp_push_front_impl<L, T...>::type;
namespace detail{
// If
template<bool C, typename T, typename... E>
struct mp_if_c_impl{};
template<typename T, typename... E>
struct mp_if_c_impl<true, T, E...>
{
using type = T;
};
template<typename T, typename E>
struct mp_if_c_impl<false, T, E>
{
using type = E;
};
}
template<bool C, typename T, typename... E>
using mp_if_c = typename detail::mp_if_c_impl<C, T, E...>::type;
template<typename C, typename T, typename... E>
using mp_if = typename detail::mp_if_c_impl<static_cast<bool>(C::value), T, E...>::type;
namespace detail {
// Find if
template<typename L, template<typename...> class P>
struct mp_find_if_impl {};
template<template<typename...> class L, template<typename...> class P>
struct mp_find_if_impl<L<>, P>
{
using type = mp_size_t<0>;
};
template<typename L, template<typename...> class P>
struct mp_find_if_impl_2
{
using r = typename mp_find_if_impl<L, P>::type;
using type = mp_size_t<1 + r::value>;
};
template<template<typename...> class L, typename T1, typename... T, template<typename...> class P>
struct mp_find_if_impl<L<T1, T...>, P>
{
using type = typename mp_if<P<T1>, mp_identity<mp_size_t<0>>, mp_find_if_impl_2<mp_list<T...>, P>>::type;
};
}
template<typename L, template<typename...> class P>
using mp_find_if = typename detail::mp_find_if_impl<L, P>::type;
template<typename L, typename Q>
using mp_find_if_q = mp_find_if<L, Q::template fn>;
namespace detail {
// Append
template<typename... L>
struct mp_append_impl {};
template<>
struct mp_append_impl<>
{
using type = mp_list<>;
};
template<template<typename...> class L, typename... T>
struct mp_append_impl<L<T...>>
{
using type = L<T...>;
};
template<template<typename...> class L1, typename... T1, template<typename...> class L2, typename... T2>
struct mp_append_impl<L1<T1...>, L2<T2...>>
{
using type = L1<T1..., T2...>;
};
template<template<typename...> class L1, typename... T1, template<typename...> class L2, typename... T2,
template<typename...> class L3, typename... T3>
struct mp_append_impl<L1<T1...>, L2<T2...>, L3<T3...>>
{
using type = L1<T1..., T2..., T3...>;
};
template<template<typename...> class L1, typename... T1, template<typename...> class L2, typename... T2,
template<typename...> class L3, typename... T3, template<typename...> class L4, typename... T4>
struct mp_append_impl<L1<T1...>, L2<T2...>, L3<T3...>, L4<T4...>>
{
using type = L1<T1..., T2..., T3..., T4...>;
};
template<template<typename...> class L1, typename... T1, template<typename...> class L2, typename... T2,
template<typename...> class L3, typename... T3, template<typename...> class L4, typename... T4,
template<typename...> class L5, typename... T5, typename... Lr>
struct mp_append_impl<L1<T1...>, L2<T2...>, L3<T3...>, L4<T4...>, L5<T5...>, Lr...>
{
using type = typename mp_append_impl<L1<T1..., T2..., T3..., T4..., T5...>, Lr...>::type;
};
}
template<typename... L>
using mp_append = typename detail::mp_append_impl<L...>::type;
namespace detail {
// Remove if
template<typename L, template<typename...> class P>
struct mp_remove_if_impl{};
template<template<typename...> class L, typename... T, template<typename...> class P>
struct mp_remove_if_impl<L<T...>, P>
{
template<typename U>
struct _f
{
using type = mp_if<P<U>, mp_list<>, mp_list<U>>;
};
using type = mp_append<L<>, typename _f<T>::type...>;
};
}
template<typename L, template<class...> class P>
using mp_remove_if = typename detail::mp_remove_if_impl<L, P>::type;
template<typename L, typename Q>
using mp_remove_if_q = mp_remove_if<L, Q::template fn>;
// Index sequence
// Use C++14 index sequence if available
#if defined(__cpp_lib_integer_sequence) && (__cpp_lib_integer_sequence >= 201304)
template<std::size_t... I>
using index_sequence = std::index_sequence<I...>;
template<std::size_t N>
using make_index_sequence = std::make_index_sequence<N>;
template<typename... T>
using index_sequence_for = std::index_sequence_for<T...>;
#else
template<typename T, T... I>
struct integer_sequence {};
template<std::size_t... I>
using index_sequence = integer_sequence<std::size_t, I...>;
namespace detail {
template<bool C, typename T, typename E>
struct iseq_if_c_impl {};
template<typename T, typename F>
struct iseq_if_c_impl<true, T, F>
{
using type = T;
};
template<typename T, typename F>
struct iseq_if_c_impl<false, T, F>
{
using type = F;
};
template<bool C, typename T, typename F>
using iseq_if_c = typename iseq_if_c_impl<C, T, F>::type;
template<typename T>
struct iseq_identity
{
using type = T;
};
template<typename T1, typename T2>
struct append_integer_sequence {};
template<typename T, T... I, T... J>
struct append_integer_sequence<integer_sequence<T, I...>, integer_sequence<T, J...>>
{
using type = integer_sequence<T, I..., (J + sizeof...(I))...>;
};
template<typename T, T N>
struct make_integer_sequence_impl;
template<typename T, T N>
class make_integer_sequence_impl_
{
private:
static_assert(N >= 0, "N must not be negative");
static constexpr T M = N / 2;
static constexpr T R = N % 2;
using seq1 = typename make_integer_sequence_impl<T, M>::type;
using seq2 = typename append_integer_sequence<seq1, seq1>::type;
using seq3 = typename make_integer_sequence_impl<T, R>::type;
using seq4 = typename append_integer_sequence<seq2, seq3>::type;
public:
using type = seq4;
};
template<typename T, T N>
struct make_integer_sequence_impl
{
using type = typename iseq_if_c<N == 0,
iseq_identity<integer_sequence<T>>,
iseq_if_c<N == 1, iseq_identity<integer_sequence<T, 0>>,
make_integer_sequence_impl_<T, N>>>::type;
};
} // namespace detail
template<typename T, T N>
using make_integer_sequence = typename detail::make_integer_sequence_impl<T, N>::type;
template<std::size_t N>
using make_index_sequence = make_integer_sequence<std::size_t, N>;
template<typename... T>
using index_sequence_for = make_integer_sequence<std::size_t, sizeof...(T)>;
#endif
}}}} // namespaces
#endif // BOOST_MATH_TOOLS_MP