1// -*- C++ -*-
2//===------------------------------- simd ---------------------------------===//
3//
4// Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions.
5// See https://llvm.org/LICENSE.txt for license information.
6// SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception
7//
8//===----------------------------------------------------------------------===//
9#ifndef _LIBCPP_EXPERIMENTAL_SIMD
10#define _LIBCPP_EXPERIMENTAL_SIMD
11
12/*
13    experimental/simd synopsis
14
15namespace std::experimental {
16
17inline namespace parallelism_v2 {
18
19namespace simd_abi {
20
21struct scalar {};
22template <int N> struct fixed_size {};
23template <typename T> inline constexpr int max_fixed_size = implementation-defined;
24template <typename T> using compatible = implementation-defined;
25template <typename T> using native = implementation-defined;
26
27} // simd_abi
28
29struct element_aligned_tag {};
30struct vector_aligned_tag {};
31template <size_t> struct overaligned_tag {};
32inline constexpr element_aligned_tag element_aligned{};
33inline constexpr vector_aligned_tag vector_aligned{};
34template <size_t N> inline constexpr overaligned_tag<N> overaligned{};
35
36// traits [simd.traits]
37template <class T> struct is_abi_tag;
38template <class T> inline constexpr bool is_abi_tag_v = is_abi_tag<T>::value;
39
40template <class T> struct is_simd;
41template <class T> inline constexpr bool is_simd_v = is_simd<T>::value;
42
43template <class T> struct is_simd_mask;
44template <class T> inline constexpr bool is_simd_mask_v = is_simd_mask<T>::value;
45
46template <class T> struct is_simd_flag_type;
47template <class T> inline constexpr bool is_simd_flag_type_v = is_simd_flag_type<T>::value;
48
49template <class T, size_t N> struct abi_for_size { using type = see below; };
50template <class T, size_t N> using abi_for_size_t = typename abi_for_size<T, N>::type;
51
52template <class T, class Abi = simd_abi::compatible<T>> struct simd_size;
53template <class T, class Abi = simd_abi::compatible<T>>
54inline constexpr size_t simd_size_v = simd_size<T, Abi>::value;
55
56template <class T, class U = typename T::value_type> struct memory_alignment;
57template <class T, class U = typename T::value_type>
58inline constexpr size_t memory_alignment_v = memory_alignment<T, U>::value;
59
60// class template simd [simd.class]
61template <class T, class Abi = simd_abi::compatible<T>> class simd;
62template <class T> using native_simd = simd<T, simd_abi::native<T>>;
63template <class T, int N> using fixed_size_simd = simd<T, simd_abi::fixed_size<N>>;
64
65// class template simd_mask [simd.mask.class]
66template <class T, class Abi = simd_abi::compatible<T>> class simd_mask;
67template <class T> using native_simd_mask = simd_mask<T, simd_abi::native<T>>;
68template <class T, int N> using fixed_size_simd_mask = simd_mask<T, simd_abi::fixed_size<N>>;
69
70// casts [simd.casts]
71template <class T, class U, class Abi> see below simd_cast(const simd<U, Abi>&);
72template <class T, class U, class Abi> see below static_simd_cast(const simd<U, Abi>&);
73
74template <class T, class Abi>
75fixed_size_simd<T, simd_size_v<T, Abi>> to_fixed_size(const simd<T, Abi>&) noexcept;
76template <class T, class Abi>
77fixed_size_simd_mask<T, simd_size_v<T, Abi>> to_fixed_size(const simd_mask<T, Abi>&) noexcept;
78template <class T, size_t N> native_simd<T> to_native(const fixed_size_simd<T, N>&) noexcept;
79template <class T, size_t N>
80native_simd_mask<T> to_native(const fixed_size_simd_mask<T, N>> &) noexcept;
81template <class T, size_t N> simd<T> to_compatible(const fixed_size_simd<T, N>&) noexcept;
82template <class T, size_t N> simd_mask<T> to_compatible(const fixed_size_simd_mask<T, N>&) noexcept;
83
84template <size_t... Sizes, class T, class Abi>
85tuple<simd<T, abi_for_size_t<Sizes>>...> split(const simd<T, Abi>&);
86template <size_t... Sizes, class T, class Abi>
87tuple<simd_mask<T, abi_for_size_t<Sizes>>...> split(const simd_mask<T, Abi>&);
88template <class V, class Abi>
89array<V, simd_size_v<typename V::value_type, Abi> / V::size()> split(
90const simd<typename V::value_type, Abi>&);
91template <class V, class Abi>
92array<V, simd_size_v<typename V::value_type, Abi> / V::size()> split(
93const simd_mask<typename V::value_type, Abi>&);
94
95template <class T, class... Abis>
96simd<T, abi_for_size_t<T, (simd_size_v<T, Abis> + ...)>> concat(const simd<T, Abis>&...);
97template <class T, class... Abis>
98simd_mask<T, abi_for_size_t<T, (simd_size_v<T, Abis> + ...)>> concat(const simd_mask<T, Abis>&...);
99
100// reductions [simd.mask.reductions]
101template <class T, class Abi> bool all_of(const simd_mask<T, Abi>&) noexcept;
102template <class T, class Abi> bool any_of(const simd_mask<T, Abi>&) noexcept;
103template <class T, class Abi> bool none_of(const simd_mask<T, Abi>&) noexcept;
104template <class T, class Abi> bool some_of(const simd_mask<T, Abi>&) noexcept;
105template <class T, class Abi> int popcount(const simd_mask<T, Abi>&) noexcept;
106template <class T, class Abi> int find_first_set(const simd_mask<T, Abi>&);
107template <class T, class Abi> int find_last_set(const simd_mask<T, Abi>&);
108
109bool all_of(see below) noexcept;
110bool any_of(see below) noexcept;
111bool none_of(see below) noexcept;
112bool some_of(see below) noexcept;
113int popcount(see below) noexcept;
114int find_first_set(see below) noexcept;
115int find_last_set(see below) noexcept;
116
117// masked assignment [simd.whereexpr]
118template <class M, class T> class const_where_expression;
119template <class M, class T> class where_expression;
120
121// masked assignment [simd.mask.where]
122template <class T> struct nodeduce { using type = T; }; // exposition only
123
124template <class T> using nodeduce_t = typename nodeduce<T>::type; // exposition only
125
126template <class T, class Abi>
127where_expression<simd_mask<T, Abi>, simd<T, Abi>>
128where(const typename simd<T, Abi>::mask_type&, simd<T, Abi>&) noexcept;
129
130template <class T, class Abi>
131const_where_expression<simd_mask<T, Abi>, const simd<T, Abi>>
132where(const typename simd<T, Abi>::mask_type&, const simd<T, Abi>&) noexcept;
133
134template <class T, class Abi>
135where_expression<simd_mask<T, Abi>, simd_mask<T, Abi>>
136where(const nodeduce_t<simd_mask<T, Abi>>&, simd_mask<T, Abi>&) noexcept;
137
138template <class T, class Abi>
139const_where_expression<simd_mask<T, Abi>, const simd_mask<T, Abi>>
140where(const nodeduce_t<simd_mask<T, Abi>>&, const simd_mask<T, Abi>&) noexcept;
141
142template <class T> where_expression<bool, T> where(see below k, T& d) noexcept;
143
144template <class T>
145const_where_expression<bool, const T> where(see below k, const T& d) noexcept;
146
147// reductions [simd.reductions]
148template <class T, class Abi, class BinaryOperation = std::plus<>>
149T reduce(const simd<T, Abi>&, BinaryOperation = BinaryOperation());
150
151template <class M, class V, class BinaryOperation>
152typename V::value_type reduce(const const_where_expression<M, V>& x,
153typename V::value_type neutral_element, BinaryOperation binary_op);
154
155template <class M, class V>
156typename V::value_type reduce(const const_where_expression<M, V>& x, plus<> binary_op = plus<>());
157
158template <class M, class V>
159typename V::value_type reduce(const const_where_expression<M, V>& x, multiplies<> binary_op);
160
161template <class M, class V>
162typename V::value_type reduce(const const_where_expression<M, V>& x, bit_and<> binary_op);
163
164template <class M, class V>
165typename V::value_type reduce(const const_where_expression<M, V>& x, bit_or<> binary_op);
166
167template <class M, class V>
168typename V::value_type reduce(const const_where_expression<M, V>& x, bit_xor<> binary_op);
169
170template <class T, class Abi> T hmin(const simd<T, Abi>&);
171template <class M, class V> T hmin(const const_where_expression<M, V>&);
172template <class T, class Abi> T hmax(const simd<T, Abi>&);
173template <class M, class V> T hmax(const const_where_expression<M, V>&);
174
175// algorithms [simd.alg]
176template <class T, class Abi> simd<T, Abi> min(const simd<T, Abi>&, const simd<T, Abi>&) noexcept;
177
178template <class T, class Abi> simd<T, Abi> max(const simd<T, Abi>&, const simd<T, Abi>&) noexcept;
179
180template <class T, class Abi>
181std::pair<simd<T, Abi>, simd<T, Abi>> minmax(const simd<T, Abi>&, const simd<T, Abi>&) noexcept;
182
183template <class T, class Abi>
184simd<T, Abi> clamp(const simd<T, Abi>& v, const simd<T, Abi>& lo, const simd<T, Abi>& hi);
185
186// [simd.whereexpr]
187template <class M, class T>
188class const_where_expression {
189  const M& mask; // exposition only
190  T& data; // exposition only
191public:
192  const_where_expression(const const_where_expression&) = delete;
193  const_where_expression& operator=(const const_where_expression&) = delete;
194  remove_const_t<T> operator-() const &&;
195  template <class U, class Flags> void copy_to(U* mem, Flags f) const &&;
196};
197
198template <class M, class T>
199class where_expression : public const_where_expression<M, T> {
200public:
201  where_expression(const where_expression&) = delete;
202  where_expression& operator=(const where_expression&) = delete;
203  template <class U> void operator=(U&& x);
204  template <class U> void operator+=(U&& x);
205  template <class U> void operator-=(U&& x);
206  template <class U> void operator*=(U&& x);
207  template <class U> void operator/=(U&& x);
208  template <class U> void operator%=(U&& x);
209  template <class U> void operator&=(U&& x);
210  template <class U> void operator|=(U&& x);
211  template <class U> void operator^=(U&& x);
212  template <class U> void operator<<=(U&& x);
213  template <class U> void operator>>=(U&& x);
214  void operator++();
215  void operator++(int);
216  void operator--();
217  void operator--(int);
218  template <class U, class Flags> void copy_from(const U* mem, Flags);
219};
220
221// [simd.class]
222template <class T, class Abi> class simd {
223public:
224  using value_type = T;
225  using reference = see below;
226  using mask_type = simd_mask<T, Abi>;
227
228  using abi_type = Abi;
229  static constexpr size_t size() noexcept;
230  simd() = default;
231
232  // implicit type conversion constructor
233  template <class U> simd(const simd<U, simd_abi::fixed_size<size()>>&);
234
235  // implicit broadcast constructor (see below for constraints)
236  template <class U> simd(U&& value);
237
238  // generator constructor (see below for constraints)
239  template <class G> explicit simd(G&& gen);
240
241  // load constructor
242  template <class U, class Flags> simd(const U* mem, Flags f);
243
244  // loads [simd.load]
245  template <class U, class Flags> void copy_from(const U* mem, Flags f);
246
247  // stores [simd.store]
248  template <class U, class Flags> void copy_to(U* mem, Flags f) const;
249
250  // scalar access [simd.subscr]
251  reference operator[](size_t);
252  value_type operator[](size_t) const;
253
254  // unary operators [simd.unary]
255  simd& operator++();
256  simd operator++(int);
257  simd& operator--();
258  simd operator--(int);
259  mask_type operator!() const;
260  simd operator~() const; // see below
261  simd operator+() const;
262  simd operator-() const;
263
264  // binary operators [simd.binary]
265  friend simd operator+ (const simd&, const simd&);
266  friend simd operator- (const simd&, const simd&);
267  friend simd operator* (const simd&, const simd&);
268  friend simd operator/ (const simd&, const simd&);
269  friend simd operator% (const simd&, const simd&);
270  friend simd operator& (const simd&, const simd&);
271  friend simd operator| (const simd&, const simd&);
272  friend simd operator^ (const simd&, const simd&);
273  friend simd operator<<(const simd&, const simd&);
274  friend simd operator>>(const simd&, const simd&);
275  friend simd operator<<(const simd&, int);
276  friend simd operator>>(const simd&, int);
277
278  // compound assignment [simd.cassign]
279  friend simd& operator+= (simd&, const simd&);
280  friend simd& operator-= (simd&, const simd&);
281  friend simd& operator*= (simd&, const simd&);
282  friend simd& operator/= (simd&, const simd&);
283  friend simd& operator%= (simd&, const simd&);
284
285  friend simd& operator&= (simd&, const simd&);
286  friend simd& operator|= (simd&, const simd&);
287  friend simd& operator^= (simd&, const simd&);
288  friend simd& operator<<=(simd&, const simd&);
289  friend simd& operator>>=(simd&, const simd&);
290  friend simd& operator<<=(simd&, int);
291  friend simd& operator>>=(simd&, int);
292
293  // compares [simd.comparison]
294  friend mask_type operator==(const simd&, const simd&);
295  friend mask_type operator!=(const simd&, const simd&);
296  friend mask_type operator>=(const simd&, const simd&);
297  friend mask_type operator<=(const simd&, const simd&);
298  friend mask_type operator> (const simd&, const simd&);
299  friend mask_type operator< (const simd&, const simd&);
300};
301
302// [simd.math]
303template <class Abi> using scharv = simd<signed char, Abi>; // exposition only
304template <class Abi> using shortv = simd<short, Abi>; // exposition only
305template <class Abi> using intv = simd<int, Abi>; // exposition only
306template <class Abi> using longv = simd<long int, Abi>; // exposition only
307template <class Abi> using llongv = simd<long long int, Abi>; // exposition only
308template <class Abi> using floatv = simd<float, Abi>; // exposition only
309template <class Abi> using doublev = simd<double, Abi>; // exposition only
310template <class Abi> using ldoublev = simd<long double, Abi>; // exposition only
311template <class T, class V> using samesize = fixed_size_simd<T, V::size()>; // exposition only
312
313template <class Abi> floatv<Abi> acos(floatv<Abi> x);
314template <class Abi> doublev<Abi> acos(doublev<Abi> x);
315template <class Abi> ldoublev<Abi> acos(ldoublev<Abi> x);
316
317template <class Abi> floatv<Abi> asin(floatv<Abi> x);
318template <class Abi> doublev<Abi> asin(doublev<Abi> x);
319template <class Abi> ldoublev<Abi> asin(ldoublev<Abi> x);
320
321template <class Abi> floatv<Abi> atan(floatv<Abi> x);
322template <class Abi> doublev<Abi> atan(doublev<Abi> x);
323template <class Abi> ldoublev<Abi> atan(ldoublev<Abi> x);
324
325template <class Abi> floatv<Abi> atan2(floatv<Abi> y, floatv<Abi> x);
326template <class Abi> doublev<Abi> atan2(doublev<Abi> y, doublev<Abi> x);
327template <class Abi> ldoublev<Abi> atan2(ldoublev<Abi> y, ldoublev<Abi> x);
328
329template <class Abi> floatv<Abi> cos(floatv<Abi> x);
330template <class Abi> doublev<Abi> cos(doublev<Abi> x);
331template <class Abi> ldoublev<Abi> cos(ldoublev<Abi> x);
332
333template <class Abi> floatv<Abi> sin(floatv<Abi> x);
334template <class Abi> doublev<Abi> sin(doublev<Abi> x);
335template <class Abi> ldoublev<Abi> sin(ldoublev<Abi> x);
336
337template <class Abi> floatv<Abi> tan(floatv<Abi> x);
338template <class Abi> doublev<Abi> tan(doublev<Abi> x);
339template <class Abi> ldoublev<Abi> tan(ldoublev<Abi> x);
340
341template <class Abi> floatv<Abi> acosh(floatv<Abi> x);
342template <class Abi> doublev<Abi> acosh(doublev<Abi> x);
343template <class Abi> ldoublev<Abi> acosh(ldoublev<Abi> x);
344
345template <class Abi> floatv<Abi> asinh(floatv<Abi> x);
346template <class Abi> doublev<Abi> asinh(doublev<Abi> x);
347template <class Abi> ldoublev<Abi> asinh(ldoublev<Abi> x);
348
349template <class Abi> floatv<Abi> atanh(floatv<Abi> x);
350template <class Abi> doublev<Abi> atanh(doublev<Abi> x);
351template <class Abi> ldoublev<Abi> atanh(ldoublev<Abi> x);
352
353template <class Abi> floatv<Abi> cosh(floatv<Abi> x);
354template <class Abi> doublev<Abi> cosh(doublev<Abi> x);
355template <class Abi> ldoublev<Abi> cosh(ldoublev<Abi> x);
356
357template <class Abi> floatv<Abi> sinh(floatv<Abi> x);
358template <class Abi> doublev<Abi> sinh(doublev<Abi> x);
359template <class Abi> ldoublev<Abi> sinh(ldoublev<Abi> x);
360
361template <class Abi> floatv<Abi> tanh(floatv<Abi> x);
362template <class Abi> doublev<Abi> tanh(doublev<Abi> x);
363template <class Abi> ldoublev<Abi> tanh(ldoublev<Abi> x);
364
365template <class Abi> floatv<Abi> exp(floatv<Abi> x);
366template <class Abi> doublev<Abi> exp(doublev<Abi> x);
367template <class Abi> ldoublev<Abi> exp(ldoublev<Abi> x);
368
369template <class Abi> floatv<Abi> exp2(floatv<Abi> x);
370template <class Abi> doublev<Abi> exp2(doublev<Abi> x);
371template <class Abi> ldoublev<Abi> exp2(ldoublev<Abi> x);
372
373template <class Abi> floatv<Abi> expm1(floatv<Abi> x);
374template <class Abi> doublev<Abi> expm1(doublev<Abi> x);
375template <class Abi> ldoublev<Abi> expm1(ldoublev<Abi> x);
376
377template <class Abi> floatv<Abi> frexp(floatv<Abi> value, samesize<int, floatv<Abi>>* exp);
378template <class Abi> doublev<Abi> frexp(doublev<Abi> value, samesize<int, doublev<Abi>>* exp);
379template <class Abi> ldoublev<Abi> frexp(ldoublev<Abi> value, samesize<int, ldoublev<Abi>>* exp);
380
381template <class Abi> samesize<int, floatv<Abi>> ilogb(floatv<Abi> x);
382template <class Abi> samesize<int, doublev<Abi>> ilogb(doublev<Abi> x);
383template <class Abi> samesize<int, ldoublev<Abi>> ilogb(ldoublev<Abi> x);
384
385template <class Abi> floatv<Abi> ldexp(floatv<Abi> x, samesize<int, floatv<Abi>> exp);
386template <class Abi> doublev<Abi> ldexp(doublev<Abi> x, samesize<int, doublev<Abi>> exp);
387template <class Abi> ldoublev<Abi> ldexp(ldoublev<Abi> x, samesize<int, ldoublev<Abi>> exp);
388
389template <class Abi> floatv<Abi> log(floatv<Abi> x);
390template <class Abi> doublev<Abi> log(doublev<Abi> x);
391template <class Abi> ldoublev<Abi> log(ldoublev<Abi> x);
392
393template <class Abi> floatv<Abi> log10(floatv<Abi> x);
394template <class Abi> doublev<Abi> log10(doublev<Abi> x);
395template <class Abi> ldoublev<Abi> log10(ldoublev<Abi> x);
396
397template <class Abi> floatv<Abi> log1p(floatv<Abi> x);
398template <class Abi> doublev<Abi> log1p(doublev<Abi> x);
399template <class Abi> ldoublev<Abi> log1p(ldoublev<Abi> x);
400
401template <class Abi> floatv<Abi> log2(floatv<Abi> x);
402template <class Abi> doublev<Abi> log2(doublev<Abi> x);
403template <class Abi> ldoublev<Abi> log2(ldoublev<Abi> x);
404
405template <class Abi> floatv<Abi> logb(floatv<Abi> x);
406template <class Abi> doublev<Abi> logb(doublev<Abi> x);
407template <class Abi> ldoublev<Abi> logb(ldoublev<Abi> x);
408
409template <class Abi> floatv<Abi> modf(floatv<Abi> value, floatv<Abi>* iptr);
410template <class Abi> doublev<Abi> modf(doublev<Abi> value, doublev<Abi>* iptr);
411template <class Abi> ldoublev<Abi> modf(ldoublev<Abi> value, ldoublev<Abi>* iptr);
412
413template <class Abi> floatv<Abi> scalbn(floatv<Abi> x, samesize<int, floatv<Abi>> n);
414template <class Abi> doublev<Abi> scalbn(doublev<Abi> x, samesize<int, doublev<Abi>> n);
415template <class Abi> ldoublev<Abi> scalbn(ldoublev<Abi> x, samesize<int, ldoublev<Abi>> n);
416template <class Abi> floatv<Abi> scalbln(floatv<Abi> x, samesize<long int, floatv<Abi>> n);
417template <class Abi> doublev<Abi> scalbln(doublev<Abi> x, samesize<long int, doublev<Abi>> n);
418template <class Abi> ldoublev<Abi> scalbln(ldoublev<Abi> x, samesize<long int, ldoublev<Abi>> n);
419
420template <class Abi> floatv<Abi> cbrt(floatv<Abi> x);
421template <class Abi> doublev<Abi> cbrt(doublev<Abi> x);
422template <class Abi> ldoublev<Abi> cbrt(ldoublev<Abi> x);
423
424template <class Abi> scharv<Abi> abs(scharv<Abi> j);
425template <class Abi> shortv<Abi> abs(shortv<Abi> j);
426template <class Abi> intv<Abi> abs(intv<Abi> j);
427template <class Abi> longv<Abi> abs(longv<Abi> j);
428template <class Abi> llongv<Abi> abs(llongv<Abi> j);
429template <class Abi> floatv<Abi> abs(floatv<Abi> j);
430template <class Abi> doublev<Abi> abs(doublev<Abi> j);
431template <class Abi> ldoublev<Abi> abs(ldoublev<Abi> j);
432
433template <class Abi> floatv<Abi> hypot(floatv<Abi> x, floatv<Abi> y);
434template <class Abi> doublev<Abi> hypot(doublev<Abi> x, doublev<Abi> y);
435template <class Abi> ldoublev<Abi> hypot(doublev<Abi> x, doublev<Abi> y);
436template <class Abi> floatv<Abi> hypot(floatv<Abi> x, floatv<Abi> y, floatv<Abi> z);
437template <class Abi> doublev<Abi> hypot(doublev<Abi> x, doublev<Abi> y, doublev<Abi> z);
438template <class Abi> ldoublev<Abi> hypot(ldoublev<Abi> x, ldoublev<Abi> y, ldoublev<Abi> z);
439
440template <class Abi> floatv<Abi> pow(floatv<Abi> x, floatv<Abi> y);
441template <class Abi> doublev<Abi> pow(doublev<Abi> x, doublev<Abi> y);
442template <class Abi> ldoublev<Abi> pow(ldoublev<Abi> x, ldoublev<Abi> y);
443
444template <class Abi> floatv<Abi> sqrt(floatv<Abi> x);
445template <class Abi> doublev<Abi> sqrt(doublev<Abi> x);
446template <class Abi> ldoublev<Abi> sqrt(ldoublev<Abi> x);
447
448template <class Abi> floatv<Abi> erf(floatv<Abi> x);
449template <class Abi> doublev<Abi> erf(doublev<Abi> x);
450template <class Abi> ldoublev<Abi> erf(ldoublev<Abi> x);
451template <class Abi> floatv<Abi> erfc(floatv<Abi> x);
452template <class Abi> doublev<Abi> erfc(doublev<Abi> x);
453template <class Abi> ldoublev<Abi> erfc(ldoublev<Abi> x);
454
455template <class Abi> floatv<Abi> lgamma(floatv<Abi> x);
456template <class Abi> doublev<Abi> lgamma(doublev<Abi> x);
457template <class Abi> ldoublev<Abi> lgamma(ldoublev<Abi> x);
458
459template <class Abi> floatv<Abi> tgamma(floatv<Abi> x);
460template <class Abi> doublev<Abi> tgamma(doublev<Abi> x);
461template <class Abi> ldoublev<Abi> tgamma(ldoublev<Abi> x);
462
463template <class Abi> floatv<Abi> ceil(floatv<Abi> x);
464template <class Abi> doublev<Abi> ceil(doublev<Abi> x);
465template <class Abi> ldoublev<Abi> ceil(ldoublev<Abi> x);
466
467template <class Abi> floatv<Abi> floor(floatv<Abi> x);
468template <class Abi> doublev<Abi> floor(doublev<Abi> x);
469template <class Abi> ldoublev<Abi> floor(ldoublev<Abi> x);
470
471template <class Abi> floatv<Abi> nearbyint(floatv<Abi> x);
472template <class Abi> doublev<Abi> nearbyint(doublev<Abi> x);
473template <class Abi> ldoublev<Abi> nearbyint(ldoublev<Abi> x);
474
475template <class Abi> floatv<Abi> rint(floatv<Abi> x);
476template <class Abi> doublev<Abi> rint(doublev<Abi> x);
477template <class Abi> ldoublev<Abi> rint(ldoublev<Abi> x);
478
479template <class Abi> samesize<long int, floatv<Abi>> lrint(floatv<Abi> x);
480template <class Abi> samesize<long int, doublev<Abi>> lrint(doublev<Abi> x);
481template <class Abi> samesize<long int, ldoublev<Abi>> lrint(ldoublev<Abi> x);
482template <class Abi> samesize<long long int, floatv<Abi>> llrint(floatv<Abi> x);
483template <class Abi> samesize<long long int, doublev<Abi>> llrint(doublev<Abi> x);
484template <class Abi> samesize<long long int, ldoublev<Abi>> llrint(ldoublev<Abi> x);
485
486template <class Abi> floatv<Abi> round(floatv<Abi> x);
487template <class Abi> doublev<Abi> round(doublev<Abi> x);
488template <class Abi> ldoublev<Abi> round(ldoublev<Abi> x);
489template <class Abi> samesize<long int, floatv<Abi>> lround(floatv<Abi> x);
490template <class Abi> samesize<long int, doublev<Abi>> lround(doublev<Abi> x);
491template <class Abi> samesize<long int, ldoublev<Abi>> lround(ldoublev<Abi> x);
492template <class Abi> samesize<long long int, floatv<Abi>> llround(floatv<Abi> x);
493template <class Abi> samesize<long long int, doublev<Abi>> llround(doublev<Abi> x);
494template <class Abi> samesize<long long int, ldoublev<Abi>> llround(ldoublev<Abi> x);
495
496template <class Abi> floatv<Abi> trunc(floatv<Abi> x);
497template <class Abi> doublev<Abi> trunc(doublev<Abi> x);
498template <class Abi> ldoublev<Abi> trunc(ldoublev<Abi> x);
499
500template <class Abi> floatv<Abi> fmod(floatv<Abi> x, floatv<Abi> y);
501template <class Abi> doublev<Abi> fmod(doublev<Abi> x, doublev<Abi> y);
502template <class Abi> ldoublev<Abi> fmod(ldoublev<Abi> x, ldoublev<Abi> y);
503
504template <class Abi> floatv<Abi> remainder(floatv<Abi> x, floatv<Abi> y);
505template <class Abi> doublev<Abi> remainder(doublev<Abi> x, doublev<Abi> y);
506template <class Abi> ldoublev<Abi> remainder(ldoublev<Abi> x, ldoublev<Abi> y);
507
508template <class Abi> floatv<Abi> remquo(floatv<Abi> x, floatv<Abi> y, samesize<int, floatv<Abi>>* quo);
509template <class Abi> doublev<Abi> remquo(doublev<Abi> x, doublev<Abi> y, samesize<int, doublev<Abi>>* quo);
510template <class Abi> ldoublev<Abi> remquo(ldoublev<Abi> x, ldoublev<Abi> y, samesize<int, ldoublev<Abi>>* quo);
511
512template <class Abi> floatv<Abi> copysign(floatv<Abi> x, floatv<Abi> y);
513template <class Abi> doublev<Abi> copysign(doublev<Abi> x, doublev<Abi> y);
514template <class Abi> ldoublev<Abi> copysign(ldoublev<Abi> x, ldoublev<Abi> y);
515
516template <class Abi> doublev<Abi> nan(const char* tagp);
517template <class Abi> floatv<Abi> nanf(const char* tagp);
518template <class Abi> ldoublev<Abi> nanl(const char* tagp);
519
520template <class Abi> floatv<Abi> nextafter(floatv<Abi> x, floatv<Abi> y);
521template <class Abi> doublev<Abi> nextafter(doublev<Abi> x, doublev<Abi> y);
522template <class Abi> ldoublev<Abi> nextafter(ldoublev<Abi> x, ldoublev<Abi> y);
523
524template <class Abi> floatv<Abi> nexttoward(floatv<Abi> x, ldoublev<Abi> y);
525template <class Abi> doublev<Abi> nexttoward(doublev<Abi> x, ldoublev<Abi> y);
526template <class Abi> ldoublev<Abi> nexttoward(ldoublev<Abi> x, ldoublev<Abi> y);
527
528template <class Abi> floatv<Abi> fdim(floatv<Abi> x, floatv<Abi> y);
529template <class Abi> doublev<Abi> fdim(doublev<Abi> x, doublev<Abi> y);
530template <class Abi> ldoublev<Abi> fdim(ldoublev<Abi> x, ldoublev<Abi> y);
531
532template <class Abi> floatv<Abi> fmax(floatv<Abi> x, floatv<Abi> y);
533template <class Abi> doublev<Abi> fmax(doublev<Abi> x, doublev<Abi> y);
534template <class Abi> ldoublev<Abi> fmax(ldoublev<Abi> x, ldoublev<Abi> y);
535
536template <class Abi> floatv<Abi> fmin(floatv<Abi> x, floatv<Abi> y);
537template <class Abi> doublev<Abi> fmin(doublev<Abi> x, doublev<Abi> y);
538template <class Abi> ldoublev<Abi> fmin(ldoublev<Abi> x, ldoublev<Abi> y);
539
540template <class Abi> floatv<Abi> fma(floatv<Abi> x, floatv<Abi> y, floatv<Abi> z);
541template <class Abi> doublev<Abi> fma(doublev<Abi> x, doublev<Abi> y, doublev<Abi> z);
542template <class Abi> ldoublev<Abi> fma(ldoublev<Abi> x, ldoublev<Abi> y, ldoublev<Abi> z);
543
544template <class Abi> samesize<int, floatv<Abi>> fpclassify(floatv<Abi> x);
545template <class Abi> samesize<int, doublev<Abi>> fpclassify(doublev<Abi> x);
546template <class Abi> samesize<int, ldoublev<Abi>> fpclassify(ldoublev<Abi> x);
547
548template <class Abi> simd_mask<float, Abi> isfinite(floatv<Abi> x);
549template <class Abi> simd_mask<double, Abi> isfinite(doublev<Abi> x);
550template <class Abi> simd_mask<long double, Abi> isfinite(ldoublev<Abi> x);
551
552template <class Abi> simd_mask<float, Abi> isinf(floatv<Abi> x);
553template <class Abi> simd_mask<double, Abi> isinf(doublev<Abi> x);
554template <class Abi> simd_mask<long double, Abi> isinf(ldoublev<Abi> x);
555
556template <class Abi> simd_mask<float, Abi> isnan(floatv<Abi> x);
557template <class Abi> simd_mask<double, Abi> isnan(doublev<Abi> x);
558template <class Abi> simd_mask<long double, Abi> isnan(ldoublev<Abi> x);
559
560template <class Abi> simd_mask<float, Abi> isnormal(floatv<Abi> x);
561template <class Abi> simd_mask<double, Abi> isnormal(doublev<Abi> x);
562template <class Abi> simd_mask<long double, Abi> isnormal(ldoublev<Abi> x);
563
564template <class Abi> simd_mask<float, Abi> signbit(floatv<Abi> x);
565template <class Abi> simd_mask<double, Abi> signbit(doublev<Abi> x);
566template <class Abi> simd_mask<long double, Abi> signbit(ldoublev<Abi> x);
567
568template <class Abi> simd_mask<float, Abi> isgreater(floatv<Abi> x, floatv<Abi> y);
569template <class Abi> simd_mask<double, Abi> isgreater(doublev<Abi> x, doublev<Abi> y);
570template <class Abi> simd_mask<long double, Abi> isgreater(ldoublev<Abi> x, ldoublev<Abi> y);
571
572template <class Abi> simd_mask<float, Abi> isgreaterequal(floatv<Abi> x, floatv<Abi> y);
573template <class Abi> simd_mask<double, Abi> isgreaterequal(doublev<Abi> x, doublev<Abi> y);
574template <class Abi> simd_mask<long double, Abi> isgreaterequal(ldoublev<Abi> x, ldoublev<Abi> y);
575
576template <class Abi> simd_mask<float, Abi> isless(floatv<Abi> x, floatv<Abi> y);
577template <class Abi> simd_mask<double, Abi> isless(doublev<Abi> x, doublev<Abi> y);
578template <class Abi> simd_mask<long double, Abi> isless(ldoublev<Abi> x, ldoublev<Abi> y);
579
580template <class Abi> simd_mask<float, Abi> islessequal(floatv<Abi> x, floatv<Abi> y);
581template <class Abi> simd_mask<double, Abi> islessequal(doublev<Abi> x, doublev<Abi> y);
582template <class Abi> simd_mask<long double, Abi> islessequal(ldoublev<Abi> x, ldoublev<Abi> y);
583
584template <class Abi> simd_mask<float, Abi> islessgreater(floatv<Abi> x, floatv<Abi> y);
585template <class Abi> simd_mask<double, Abi> islessgreater(doublev<Abi> x, doublev<Abi> y);
586template <class Abi> simd_mask<long double, Abi> islessgreater(ldoublev<Abi> x, ldoublev<Abi> y);
587
588template <class Abi> simd_mask<float, Abi> isunordered(floatv<Abi> x, floatv<Abi> y);
589template <class Abi> simd_mask<double, Abi> isunordered(doublev<Abi> x, doublev<Abi> y);
590template <class Abi> simd_mask<long double, Abi> isunordered(ldoublev<Abi> x, ldoublev<Abi> y);
591
592template <class V> struct simd_div_t { V quot, rem; };
593template <class Abi> simd_div_t<scharv<Abi>> div(scharv<Abi> numer, scharv<Abi> denom);
594template <class Abi> simd_div_t<shortv<Abi>> div(shortv<Abi> numer, shortv<Abi> denom);
595template <class Abi> simd_div_t<intv<Abi>> div(intv<Abi> numer, intv<Abi> denom);
596template <class Abi> simd_div_t<longv<Abi>> div(longv<Abi> numer, longv<Abi> denom);
597template <class Abi> simd_div_t<llongv<Abi>> div(llongv<Abi> numer, llongv<Abi> denom);
598
599// [simd.mask.class]
600template <class T, class Abi>
601class simd_mask {
602public:
603  using value_type = bool;
604  using reference = see below;
605  using simd_type = simd<T, Abi>;
606  using abi_type = Abi;
607  static constexpr size_t size() noexcept;
608  simd_mask() = default;
609
610  // broadcast constructor
611  explicit simd_mask(value_type) noexcept;
612
613  // implicit type conversion constructor
614  template <class U> simd_mask(const simd_mask<U, simd_abi::fixed_size<size()>>&) noexcept;
615
616  // load constructor
617  template <class Flags> simd_mask(const value_type* mem, Flags);
618
619  // loads [simd.mask.copy]
620  template <class Flags> void copy_from(const value_type* mem, Flags);
621  template <class Flags> void copy_to(value_type* mem, Flags) const;
622
623  // scalar access [simd.mask.subscr]
624  reference operator[](size_t);
625  value_type operator[](size_t) const;
626
627  // unary operators [simd.mask.unary]
628  simd_mask operator!() const noexcept;
629
630  // simd_mask binary operators [simd.mask.binary]
631  friend simd_mask operator&&(const simd_mask&, const simd_mask&) noexcept;
632  friend simd_mask operator||(const simd_mask&, const simd_mask&) noexcept;
633  friend simd_mask operator& (const simd_mask&, const simd_mask&) noexcept;
634  friend simd_mask operator| (const simd_mask&, const simd_mask&) noexcept;
635  friend simd_mask operator^ (const simd_mask&, const simd_mask&) noexcept;
636
637  // simd_mask compound assignment [simd.mask.cassign]
638  friend simd_mask& operator&=(simd_mask&, const simd_mask&) noexcept;
639  friend simd_mask& operator|=(simd_mask&, const simd_mask&) noexcept;
640  friend simd_mask& operator^=(simd_mask&, const simd_mask&) noexcept;
641
642  // simd_mask compares [simd.mask.comparison]
643  friend simd_mask operator==(const simd_mask&, const simd_mask&) noexcept;
644  friend simd_mask operator!=(const simd_mask&, const simd_mask&) noexcept;
645};
646
647} // parallelism_v2
648} // std::experimental
649
650*/
651
652#include <experimental/__config>
653#include <algorithm>
654#include <array>
655#include <cstddef>
656#include <functional>
657
658#if !defined(_LIBCPP_HAS_NO_PRAGMA_SYSTEM_HEADER)
659#pragma GCC system_header
660#endif
661
662_LIBCPP_BEGIN_NAMESPACE_EXPERIMENTAL_SIMD
663
664#if _LIBCPP_STD_VER >= 17
665
666enum class _StorageKind {
667  _Scalar,
668  _Array,
669  _VecExt,
670};
671
672template <_StorageKind __kind, int _Np>
673struct __simd_abi {};
674
675template <class _Tp, class _Abi>
676class __simd_storage {};
677
678template <class _Tp, int __num_element>
679class __simd_storage<_Tp, __simd_abi<_StorageKind::_Array, __num_element>> {
680  std::array<_Tp, __num_element> __storage_;
681
682  template <class, class>
683  friend struct simd;
684
685  template <class, class>
686  friend struct simd_mask;
687
688public:
689  _Tp __get(size_t __index) const noexcept { return __storage_[__index]; };
690  void __set(size_t __index, _Tp __val) noexcept {
691    __storage_[__index] = __val;
692  }
693};
694
695template <class _Tp>
696class __simd_storage<_Tp, __simd_abi<_StorageKind::_Scalar, 1>> {
697  _Tp __storage_;
698
699  template <class, class>
700  friend struct simd;
701
702  template <class, class>
703  friend struct simd_mask;
704
705public:
706  _Tp __get(size_t __index) const noexcept { return (&__storage_)[__index]; };
707  void __set(size_t __index, _Tp __val) noexcept {
708    (&__storage_)[__index] = __val;
709  }
710};
711
712#ifndef _LIBCPP_HAS_NO_VECTOR_EXTENSION
713
714constexpr size_t __floor_pow_of_2(size_t __val) {
715  return ((__val - 1) & __val) == 0 ? __val
716                                    : __floor_pow_of_2((__val - 1) & __val);
717}
718
719constexpr size_t __ceil_pow_of_2(size_t __val) {
720  return __val == 1 ? 1 : __floor_pow_of_2(__val - 1) << 1;
721}
722
723template <class _Tp, size_t __bytes>
724struct __vec_ext_traits {
725#if !defined(_LIBCPP_COMPILER_CLANG)
726  typedef _Tp type __attribute__((vector_size(__ceil_pow_of_2(__bytes))));
727#endif
728};
729
730#if defined(_LIBCPP_COMPILER_CLANG)
731#define _LIBCPP_SPECIALIZE_VEC_EXT(_TYPE, _NUM_ELEMENT)                        \
732  template <>                                                                  \
733  struct __vec_ext_traits<_TYPE, sizeof(_TYPE) * _NUM_ELEMENT> {               \
734    using type =                                                               \
735        _TYPE __attribute__((vector_size(sizeof(_TYPE) * _NUM_ELEMENT)));      \
736  }
737
738#define _LIBCPP_SPECIALIZE_VEC_EXT_32(_TYPE)                                   \
739  _LIBCPP_SPECIALIZE_VEC_EXT(_TYPE, 1);                                        \
740  _LIBCPP_SPECIALIZE_VEC_EXT(_TYPE, 2);                                        \
741  _LIBCPP_SPECIALIZE_VEC_EXT(_TYPE, 3);                                        \
742  _LIBCPP_SPECIALIZE_VEC_EXT(_TYPE, 4);                                        \
743  _LIBCPP_SPECIALIZE_VEC_EXT(_TYPE, 5);                                        \
744  _LIBCPP_SPECIALIZE_VEC_EXT(_TYPE, 6);                                        \
745  _LIBCPP_SPECIALIZE_VEC_EXT(_TYPE, 7);                                        \
746  _LIBCPP_SPECIALIZE_VEC_EXT(_TYPE, 8);                                        \
747  _LIBCPP_SPECIALIZE_VEC_EXT(_TYPE, 9);                                        \
748  _LIBCPP_SPECIALIZE_VEC_EXT(_TYPE, 10);                                       \
749  _LIBCPP_SPECIALIZE_VEC_EXT(_TYPE, 11);                                       \
750  _LIBCPP_SPECIALIZE_VEC_EXT(_TYPE, 12);                                       \
751  _LIBCPP_SPECIALIZE_VEC_EXT(_TYPE, 13);                                       \
752  _LIBCPP_SPECIALIZE_VEC_EXT(_TYPE, 14);                                       \
753  _LIBCPP_SPECIALIZE_VEC_EXT(_TYPE, 15);                                       \
754  _LIBCPP_SPECIALIZE_VEC_EXT(_TYPE, 16);                                       \
755  _LIBCPP_SPECIALIZE_VEC_EXT(_TYPE, 17);                                       \
756  _LIBCPP_SPECIALIZE_VEC_EXT(_TYPE, 18);                                       \
757  _LIBCPP_SPECIALIZE_VEC_EXT(_TYPE, 19);                                       \
758  _LIBCPP_SPECIALIZE_VEC_EXT(_TYPE, 20);                                       \
759  _LIBCPP_SPECIALIZE_VEC_EXT(_TYPE, 21);                                       \
760  _LIBCPP_SPECIALIZE_VEC_EXT(_TYPE, 22);                                       \
761  _LIBCPP_SPECIALIZE_VEC_EXT(_TYPE, 23);                                       \
762  _LIBCPP_SPECIALIZE_VEC_EXT(_TYPE, 24);                                       \
763  _LIBCPP_SPECIALIZE_VEC_EXT(_TYPE, 25);                                       \
764  _LIBCPP_SPECIALIZE_VEC_EXT(_TYPE, 26);                                       \
765  _LIBCPP_SPECIALIZE_VEC_EXT(_TYPE, 27);                                       \
766  _LIBCPP_SPECIALIZE_VEC_EXT(_TYPE, 28);                                       \
767  _LIBCPP_SPECIALIZE_VEC_EXT(_TYPE, 29);                                       \
768  _LIBCPP_SPECIALIZE_VEC_EXT(_TYPE, 30);                                       \
769  _LIBCPP_SPECIALIZE_VEC_EXT(_TYPE, 31);                                       \
770  _LIBCPP_SPECIALIZE_VEC_EXT(_TYPE, 32);
771
772_LIBCPP_SPECIALIZE_VEC_EXT_32(char);
773_LIBCPP_SPECIALIZE_VEC_EXT_32(char16_t);
774_LIBCPP_SPECIALIZE_VEC_EXT_32(char32_t);
775_LIBCPP_SPECIALIZE_VEC_EXT_32(wchar_t);
776_LIBCPP_SPECIALIZE_VEC_EXT_32(signed char);
777_LIBCPP_SPECIALIZE_VEC_EXT_32(signed short);
778_LIBCPP_SPECIALIZE_VEC_EXT_32(signed int);
779_LIBCPP_SPECIALIZE_VEC_EXT_32(signed long);
780_LIBCPP_SPECIALIZE_VEC_EXT_32(signed long long);
781_LIBCPP_SPECIALIZE_VEC_EXT_32(unsigned char);
782_LIBCPP_SPECIALIZE_VEC_EXT_32(unsigned short);
783_LIBCPP_SPECIALIZE_VEC_EXT_32(unsigned int);
784_LIBCPP_SPECIALIZE_VEC_EXT_32(unsigned long);
785_LIBCPP_SPECIALIZE_VEC_EXT_32(unsigned long long);
786_LIBCPP_SPECIALIZE_VEC_EXT_32(float);
787_LIBCPP_SPECIALIZE_VEC_EXT_32(double);
788_LIBCPP_SPECIALIZE_VEC_EXT_32(long double);
789
790#undef _LIBCPP_SPECIALIZE_VEC_EXT_32
791#undef _LIBCPP_SPECIALIZE_VEC_EXT
792#endif
793
794template <class _Tp, int __num_element>
795class __simd_storage<_Tp, __simd_abi<_StorageKind::_VecExt, __num_element>> {
796  using _StorageType =
797      typename __vec_ext_traits<_Tp, sizeof(_Tp) * __num_element>::type;
798
799  _StorageType __storage_;
800
801  template <class, class>
802  friend struct simd;
803
804  template <class, class>
805  friend struct simd_mask;
806
807public:
808  _Tp __get(size_t __index) const noexcept { return __storage_[__index]; };
809  void __set(size_t __index, _Tp __val) noexcept {
810    __storage_[__index] = __val;
811  }
812};
813
814#endif // _LIBCPP_HAS_NO_VECTOR_EXTENSION
815
816template <class _Vp, class _Tp, class _Abi>
817class __simd_reference {
818  static_assert(std::is_same<_Vp, _Tp>::value, "");
819
820  template <class, class>
821  friend struct simd;
822
823  template <class, class>
824  friend struct simd_mask;
825
826  __simd_storage<_Tp, _Abi>* __ptr_;
827  size_t __index_;
828
829  __simd_reference(__simd_storage<_Tp, _Abi>* __ptr, size_t __index)
830      : __ptr_(__ptr), __index_(__index) {}
831
832  __simd_reference(const __simd_reference&) = default;
833
834public:
835  __simd_reference() = delete;
836  __simd_reference& operator=(const __simd_reference&) = delete;
837
838  operator _Vp() const { return __ptr_->__get(__index_); }
839
840  __simd_reference operator=(_Vp __value) && {
841    __ptr_->__set(__index_, __value);
842    return *this;
843  }
844
845  __simd_reference operator++() && {
846    return std::move(*this) = __ptr_->__get(__index_) + 1;
847  }
848
849  _Vp operator++(int) && {
850    auto __val = __ptr_->__get(__index_);
851    __ptr_->__set(__index_, __val + 1);
852    return __val;
853  }
854
855  __simd_reference operator--() && {
856    return std::move(*this) = __ptr_->__get(__index_) - 1;
857  }
858
859  _Vp operator--(int) && {
860    auto __val = __ptr_->__get(__index_);
861    __ptr_->__set(__index_, __val - 1);
862    return __val;
863  }
864
865  __simd_reference operator+=(_Vp __value) && {
866    return std::move(*this) = __ptr_->__get(__index_) + __value;
867  }
868
869  __simd_reference operator-=(_Vp __value) && {
870    return std::move(*this) = __ptr_->__get(__index_) - __value;
871  }
872
873  __simd_reference operator*=(_Vp __value) && {
874    return std::move(*this) = __ptr_->__get(__index_) * __value;
875  }
876
877  __simd_reference operator/=(_Vp __value) && {
878    return std::move(*this) = __ptr_->__get(__index_) / __value;
879  }
880
881  __simd_reference operator%=(_Vp __value) && {
882    return std::move(*this) = __ptr_->__get(__index_) % __value;
883  }
884
885  __simd_reference operator>>=(_Vp __value) && {
886    return std::move(*this) = __ptr_->__get(__index_) >> __value;
887  }
888
889  __simd_reference operator<<=(_Vp __value) && {
890    return std::move(*this) = __ptr_->__get(__index_) << __value;
891  }
892
893  __simd_reference operator&=(_Vp __value) && {
894    return std::move(*this) = __ptr_->__get(__index_) & __value;
895  }
896
897  __simd_reference operator|=(_Vp __value) && {
898    return std::move(*this) = __ptr_->__get(__index_) | __value;
899  }
900
901  __simd_reference operator^=(_Vp __value) && {
902    return std::move(*this) = __ptr_->__get(__index_) ^ __value;
903  }
904};
905
906template <class _To, class _From>
907constexpr decltype(_To{std::declval<_From>()}, true)
908__is_non_narrowing_convertible_impl(_From) {
909  return true;
910}
911
912template <class _To>
913constexpr bool __is_non_narrowing_convertible_impl(...) {
914  return false;
915}
916
917template <class _From, class _To>
918constexpr typename std::enable_if<std::is_arithmetic<_To>::value &&
919                                      std::is_arithmetic<_From>::value,
920                                  bool>::type
921__is_non_narrowing_arithmetic_convertible() {
922  return __is_non_narrowing_convertible_impl<_To>(_From{});
923}
924
925template <class _From, class _To>
926constexpr typename std::enable_if<!(std::is_arithmetic<_To>::value &&
927                                    std::is_arithmetic<_From>::value),
928                                  bool>::type
929__is_non_narrowing_arithmetic_convertible() {
930  return false;
931}
932
933template <class _Tp>
934constexpr _Tp __variadic_sum() {
935  return _Tp{};
936}
937
938template <class _Tp, class _Up, class... _Args>
939constexpr _Tp __variadic_sum(_Up __first, _Args... __rest) {
940  return static_cast<_Tp>(__first) + __variadic_sum<_Tp>(__rest...);
941}
942
943template <class _Tp>
944struct __nodeduce {
945  using type = _Tp;
946};
947
948template <class _Tp>
949constexpr bool __vectorizable() {
950  return std::is_arithmetic<_Tp>::value && !std::is_const<_Tp>::value &&
951         !std::is_volatile<_Tp>::value && !std::is_same<_Tp, bool>::value;
952}
953
954_LIBCPP_END_NAMESPACE_EXPERIMENTAL_SIMD
955_LIBCPP_BEGIN_NAMESPACE_EXPERIMENTAL_SIMD_ABI
956
957using scalar = __simd_abi<_StorageKind::_Scalar, 1>;
958
959template <int _Np>
960using fixed_size = __simd_abi<_StorageKind::_Array, _Np>;
961
962template <class _Tp>
963_LIBCPP_INLINE_VAR constexpr size_t max_fixed_size = 32;
964
965template <class _Tp>
966using compatible = fixed_size<16 / sizeof(_Tp)>;
967
968#ifndef _LIBCPP_HAS_NO_VECTOR_EXTENSION
969template <class _Tp>
970using native = __simd_abi<_StorageKind::_VecExt,
971                          _LIBCPP_NATIVE_SIMD_WIDTH_IN_BYTES / sizeof(_Tp)>;
972#else
973template <class _Tp>
974using native =
975    fixed_size<_Tp, _LIBCPP_NATIVE_SIMD_WIDTH_IN_BYTES / sizeof(_Tp)>;
976#endif // _LIBCPP_HAS_NO_VECTOR_EXTENSION
977
978_LIBCPP_END_NAMESPACE_EXPERIMENTAL_SIMD_ABI
979_LIBCPP_BEGIN_NAMESPACE_EXPERIMENTAL_SIMD
980
981template <class _Tp, class _Abi = simd_abi::compatible<_Tp>>
982class simd;
983template <class _Tp, class _Abi = simd_abi::compatible<_Tp>>
984class simd_mask;
985
986struct element_aligned_tag {};
987struct vector_aligned_tag {};
988template <size_t>
989struct overaligned_tag {};
990_LIBCPP_INLINE_VAR constexpr element_aligned_tag element_aligned{};
991_LIBCPP_INLINE_VAR constexpr vector_aligned_tag vector_aligned{};
992template <size_t _Np>
993_LIBCPP_INLINE_VAR constexpr overaligned_tag<_Np> overaligned{};
994
995// traits [simd.traits]
996template <class _Tp>
997struct is_abi_tag : std::integral_constant<bool, false> {};
998
999template <_StorageKind __kind, int _Np>
1000struct is_abi_tag<__simd_abi<__kind, _Np>>
1001    : std::integral_constant<bool, true> {};
1002
1003template <class _Tp>
1004struct is_simd : std::integral_constant<bool, false> {};
1005
1006template <class _Tp, class _Abi>
1007struct is_simd<simd<_Tp, _Abi>> : std::integral_constant<bool, true> {};
1008
1009template <class _Tp>
1010struct is_simd_mask : std::integral_constant<bool, false> {};
1011
1012template <class _Tp, class _Abi>
1013struct is_simd_mask<simd_mask<_Tp, _Abi>> : std::integral_constant<bool, true> {
1014};
1015
1016template <class _Tp>
1017struct is_simd_flag_type : std::integral_constant<bool, false> {};
1018
1019template <>
1020struct is_simd_flag_type<element_aligned_tag>
1021    : std::integral_constant<bool, true> {};
1022
1023template <>
1024struct is_simd_flag_type<vector_aligned_tag>
1025    : std::integral_constant<bool, true> {};
1026
1027template <size_t _Align>
1028struct is_simd_flag_type<overaligned_tag<_Align>>
1029    : std::integral_constant<bool, true> {};
1030
1031template <class _Tp>
1032_LIBCPP_INLINE_VAR constexpr bool is_abi_tag_v = is_abi_tag<_Tp>::value;
1033template <class _Tp>
1034_LIBCPP_INLINE_VAR constexpr bool is_simd_v = is_simd<_Tp>::value;
1035template <class _Tp>
1036_LIBCPP_INLINE_VAR constexpr bool is_simd_mask_v = is_simd_mask<_Tp>::value;
1037template <class _Tp>
1038_LIBCPP_INLINE_VAR constexpr bool is_simd_flag_type_v =
1039    is_simd_flag_type<_Tp>::value;
1040template <class _Tp, size_t _Np>
1041struct abi_for_size {
1042  using type = simd_abi::fixed_size<_Np>;
1043};
1044template <class _Tp, size_t _Np>
1045using abi_for_size_t = typename abi_for_size<_Tp, _Np>::type;
1046
1047template <class _Tp, class _Abi = simd_abi::compatible<_Tp>>
1048struct simd_size;
1049
1050template <class _Tp, _StorageKind __kind, int _Np>
1051struct simd_size<_Tp, __simd_abi<__kind, _Np>>
1052    : std::integral_constant<size_t, _Np> {
1053  static_assert(
1054      std::is_arithmetic<_Tp>::value &&
1055          !std::is_same<typename std::remove_const<_Tp>::type, bool>::value,
1056      "Element type should be vectorizable");
1057};
1058
1059// TODO: implement it.
1060template <class _Tp, class _Up = typename _Tp::value_type>
1061struct memory_alignment;
1062
1063template <class _Tp, class _Abi = simd_abi::compatible<_Tp>>
1064_LIBCPP_INLINE_VAR constexpr size_t simd_size_v = simd_size<_Tp, _Abi>::value;
1065
1066template <class _Tp, class _Up = typename _Tp::value_type>
1067_LIBCPP_INLINE_VAR constexpr size_t memory_alignment_v =
1068    memory_alignment<_Tp, _Up>::value;
1069
1070// class template simd [simd.class]
1071template <class _Tp>
1072using native_simd = simd<_Tp, simd_abi::native<_Tp>>;
1073template <class _Tp, int _Np>
1074using fixed_size_simd = simd<_Tp, simd_abi::fixed_size<_Np>>;
1075
1076// class template simd_mask [simd.mask.class]
1077template <class _Tp>
1078using native_simd_mask = simd_mask<_Tp, simd_abi::native<_Tp>>;
1079
1080template <class _Tp, int _Np>
1081using fixed_size_simd_mask = simd_mask<_Tp, simd_abi::fixed_size<_Np>>;
1082
1083// casts [simd.casts]
1084template <class _Tp>
1085struct __static_simd_cast_traits {
1086  template <class _Up, class _Abi>
1087  static simd<_Tp, _Abi> __apply(const simd<_Up, _Abi>& __v);
1088};
1089
1090template <class _Tp, class _NewAbi>
1091struct __static_simd_cast_traits<simd<_Tp, _NewAbi>> {
1092  template <class _Up, class _Abi>
1093  static typename std::enable_if<simd<_Up, _Abi>::size() ==
1094                                     simd<_Tp, _NewAbi>::size(),
1095                                 simd<_Tp, _NewAbi>>::type
1096  __apply(const simd<_Up, _Abi>& __v);
1097};
1098
1099template <class _Tp>
1100struct __simd_cast_traits {
1101  template <class _Up, class _Abi>
1102  static typename std::enable_if<
1103      __is_non_narrowing_arithmetic_convertible<_Up, _Tp>(),
1104      simd<_Tp, _Abi>>::type
1105  __apply(const simd<_Up, _Abi>& __v);
1106};
1107
1108template <class _Tp, class _NewAbi>
1109struct __simd_cast_traits<simd<_Tp, _NewAbi>> {
1110  template <class _Up, class _Abi>
1111  static typename std::enable_if<
1112      __is_non_narrowing_arithmetic_convertible<_Up, _Tp>() &&
1113          simd<_Up, _Abi>::size() == simd<_Tp, _NewAbi>::size(),
1114      simd<_Tp, _NewAbi>>::type
1115  __apply(const simd<_Up, _Abi>& __v);
1116};
1117
1118template <class _Tp, class _Up, class _Abi>
1119auto simd_cast(const simd<_Up, _Abi>& __v)
1120    -> decltype(__simd_cast_traits<_Tp>::__apply(__v)) {
1121  return __simd_cast_traits<_Tp>::__apply(__v);
1122}
1123
1124template <class _Tp, class _Up, class _Abi>
1125auto static_simd_cast(const simd<_Up, _Abi>& __v)
1126    -> decltype(__static_simd_cast_traits<_Tp>::__apply(__v)) {
1127  return __static_simd_cast_traits<_Tp>::__apply(__v);
1128}
1129
1130template <class _Tp, class _Abi>
1131fixed_size_simd<_Tp, simd_size<_Tp, _Abi>::value>
1132to_fixed_size(const simd<_Tp, _Abi>&) noexcept;
1133
1134template <class _Tp, class _Abi>
1135fixed_size_simd_mask<_Tp, simd_size<_Tp, _Abi>::value>
1136to_fixed_size(const simd_mask<_Tp, _Abi>&) noexcept;
1137
1138template <class _Tp, size_t _Np>
1139native_simd<_Tp> to_native(const fixed_size_simd<_Tp, _Np>&) noexcept;
1140
1141template <class _Tp, size_t _Np>
1142native_simd_mask<_Tp> to_native(const fixed_size_simd_mask<_Tp, _Np>&) noexcept;
1143
1144template <class _Tp, size_t _Np>
1145simd<_Tp> to_compatible(const fixed_size_simd<_Tp, _Np>&) noexcept;
1146
1147template <class _Tp, size_t _Np>
1148simd_mask<_Tp> to_compatible(const fixed_size_simd_mask<_Tp, _Np>&) noexcept;
1149
1150template <size_t... __sizes, class _Tp, class _Abi>
1151tuple<simd<_Tp, abi_for_size_t<_Tp, __sizes>>...> split(const simd<_Tp, _Abi>&);
1152
1153template <size_t... __sizes, class _Tp, class _Abi>
1154tuple<simd_mask<_Tp, abi_for_size_t<_Tp, __sizes>>...>
1155split(const simd_mask<_Tp, _Abi>&);
1156
1157template <class _SimdType, class _Abi>
1158array<_SimdType, simd_size<typename _SimdType::value_type, _Abi>::value /
1159                     _SimdType::size()>
1160split(const simd<typename _SimdType::value_type, _Abi>&);
1161
1162template <class _SimdType, class _Abi>
1163array<_SimdType, simd_size<typename _SimdType::value_type, _Abi>::value /
1164                     _SimdType::size()>
1165split(const simd_mask<typename _SimdType::value_type, _Abi>&);
1166
1167template <class _Tp, class... _Abis>
1168simd<_Tp, abi_for_size_t<_Tp, __variadic_sum(simd_size<_Tp, _Abis>::value...)>>
1169concat(const simd<_Tp, _Abis>&...);
1170
1171template <class _Tp, class... _Abis>
1172simd_mask<_Tp,
1173          abi_for_size_t<_Tp, __variadic_sum(simd_size<_Tp, _Abis>::value...)>>
1174concat(const simd_mask<_Tp, _Abis>&...);
1175
1176// reductions [simd.mask.reductions]
1177template <class _Tp, class _Abi>
1178bool all_of(const simd_mask<_Tp, _Abi>&) noexcept;
1179template <class _Tp, class _Abi>
1180bool any_of(const simd_mask<_Tp, _Abi>&) noexcept;
1181template <class _Tp, class _Abi>
1182bool none_of(const simd_mask<_Tp, _Abi>&) noexcept;
1183template <class _Tp, class _Abi>
1184bool some_of(const simd_mask<_Tp, _Abi>&) noexcept;
1185template <class _Tp, class _Abi>
1186int popcount(const simd_mask<_Tp, _Abi>&) noexcept;
1187template <class _Tp, class _Abi>
1188int find_first_set(const simd_mask<_Tp, _Abi>&);
1189template <class _Tp, class _Abi>
1190int find_last_set(const simd_mask<_Tp, _Abi>&);
1191bool all_of(bool) noexcept;
1192bool any_of(bool) noexcept;
1193bool none_of(bool) noexcept;
1194bool some_of(bool) noexcept;
1195int popcount(bool) noexcept;
1196int find_first_set(bool) noexcept;
1197int find_last_set(bool) noexcept;
1198
1199// masked assignment [simd.whereexpr]
1200template <class _MaskType, class _Tp>
1201class const_where_expression;
1202template <class _MaskType, class _Tp>
1203class where_expression;
1204
1205// masked assignment [simd.mask.where]
1206template <class _Tp, class _Abi>
1207where_expression<simd_mask<_Tp, _Abi>, simd<_Tp, _Abi>>
1208where(const typename simd<_Tp, _Abi>::mask_type&, simd<_Tp, _Abi>&) noexcept;
1209
1210template <class _Tp, class _Abi>
1211const_where_expression<simd_mask<_Tp, _Abi>, const simd<_Tp, _Abi>>
1212where(const typename simd<_Tp, _Abi>::mask_type&,
1213      const simd<_Tp, _Abi>&) noexcept;
1214
1215template <class _Tp, class _Abi>
1216where_expression<simd_mask<_Tp, _Abi>, simd_mask<_Tp, _Abi>>
1217where(const typename __nodeduce<simd_mask<_Tp, _Abi>>::type&,
1218      simd_mask<_Tp, _Abi>&) noexcept;
1219
1220template <class _Tp, class _Abi>
1221const_where_expression<simd_mask<_Tp, _Abi>, const simd_mask<_Tp, _Abi>>
1222where(const typename __nodeduce<simd_mask<_Tp, _Abi>>::type&,
1223      const simd_mask<_Tp, _Abi>&) noexcept;
1224
1225template <class _Tp>
1226where_expression<bool, _Tp> where(bool, _Tp&) noexcept;
1227
1228template <class _Tp>
1229const_where_expression<bool, const _Tp> where(bool, const _Tp&) noexcept;
1230
1231// reductions [simd.reductions]
1232template <class _Tp, class _Abi, class _BinaryOp = std::plus<_Tp>>
1233_Tp reduce(const simd<_Tp, _Abi>&, _BinaryOp = _BinaryOp());
1234
1235template <class _MaskType, class _SimdType, class _BinaryOp>
1236typename _SimdType::value_type
1237reduce(const const_where_expression<_MaskType, _SimdType>&,
1238       typename _SimdType::value_type neutral_element, _BinaryOp binary_op);
1239
1240template <class _MaskType, class _SimdType>
1241typename _SimdType::value_type
1242reduce(const const_where_expression<_MaskType, _SimdType>&,
1243       plus<typename _SimdType::value_type> binary_op = {});
1244
1245template <class _MaskType, class _SimdType>
1246typename _SimdType::value_type
1247reduce(const const_where_expression<_MaskType, _SimdType>&,
1248       multiplies<typename _SimdType::value_type> binary_op);
1249
1250template <class _MaskType, class _SimdType>
1251typename _SimdType::value_type
1252reduce(const const_where_expression<_MaskType, _SimdType>&,
1253       bit_and<typename _SimdType::value_type> binary_op);
1254
1255template <class _MaskType, class _SimdType>
1256typename _SimdType::value_type
1257reduce(const const_where_expression<_MaskType, _SimdType>&,
1258       bit_or<typename _SimdType::value_type> binary_op);
1259
1260template <class _MaskType, class _SimdType>
1261typename _SimdType::value_type
1262reduce(const const_where_expression<_MaskType, _SimdType>&,
1263       bit_xor<typename _SimdType::value_type> binary_op);
1264
1265template <class _Tp, class _Abi>
1266_Tp hmin(const simd<_Tp, _Abi>&);
1267template <class _MaskType, class _SimdType>
1268typename _SimdType::value_type
1269hmin(const const_where_expression<_MaskType, _SimdType>&);
1270template <class _Tp, class _Abi>
1271_Tp hmax(const simd<_Tp, _Abi>&);
1272template <class _MaskType, class _SimdType>
1273typename _SimdType::value_type
1274hmax(const const_where_expression<_MaskType, _SimdType>&);
1275
1276// algorithms [simd.alg]
1277template <class _Tp, class _Abi>
1278simd<_Tp, _Abi> min(const simd<_Tp, _Abi>&, const simd<_Tp, _Abi>&) noexcept;
1279
1280template <class _Tp, class _Abi>
1281simd<_Tp, _Abi> max(const simd<_Tp, _Abi>&, const simd<_Tp, _Abi>&) noexcept;
1282
1283template <class _Tp, class _Abi>
1284std::pair<simd<_Tp, _Abi>, simd<_Tp, _Abi>>
1285minmax(const simd<_Tp, _Abi>&, const simd<_Tp, _Abi>&) noexcept;
1286
1287template <class _Tp, class _Abi>
1288simd<_Tp, _Abi> clamp(const simd<_Tp, _Abi>&, const simd<_Tp, _Abi>&,
1289                      const simd<_Tp, _Abi>&);
1290
1291// [simd.whereexpr]
1292// TODO implement where expressions.
1293template <class _MaskType, class _Tp>
1294class const_where_expression {
1295public:
1296  const_where_expression(const const_where_expression&) = delete;
1297  const_where_expression& operator=(const const_where_expression&) = delete;
1298  typename remove_const<_Tp>::type operator-() const&&;
1299  template <class _Up, class _Flags>
1300  void copy_to(_Up*, _Flags) const&&;
1301};
1302
1303template <class _MaskType, class _Tp>
1304class where_expression : public const_where_expression<_MaskType, _Tp> {
1305public:
1306  where_expression(const where_expression&) = delete;
1307  where_expression& operator=(const where_expression&) = delete;
1308  template <class _Up>
1309  void operator=(_Up&&);
1310  template <class _Up>
1311  void operator+=(_Up&&);
1312  template <class _Up>
1313  void operator-=(_Up&&);
1314  template <class _Up>
1315  void operator*=(_Up&&);
1316  template <class _Up>
1317  void operator/=(_Up&&);
1318  template <class _Up>
1319  void operator%=(_Up&&);
1320  template <class _Up>
1321  void operator&=(_Up&&);
1322  template <class _Up>
1323  void operator|=(_Up&&);
1324  template <class _Up>
1325  void operator^=(_Up&&);
1326  template <class _Up>
1327  void operator<<=(_Up&&);
1328  template <class _Up>
1329  void operator>>=(_Up&&);
1330  void operator++();
1331  void operator++(int);
1332  void operator--();
1333  void operator--(int);
1334  template <class _Up, class _Flags>
1335  void copy_from(const _Up*, _Flags);
1336};
1337
1338// [simd.class]
1339// TODO: implement simd
1340template <class _Tp, class _Abi>
1341class simd {
1342public:
1343  using value_type = _Tp;
1344  using reference = __simd_reference<_Tp, _Tp, _Abi>;
1345  using mask_type = simd_mask<_Tp, _Abi>;
1346  using abi_type = _Abi;
1347
1348  simd() = default;
1349  simd(const simd&) = default;
1350  simd& operator=(const simd&) = default;
1351
1352  static constexpr size_t size() noexcept {
1353    return simd_size<_Tp, _Abi>::value;
1354  }
1355
1356private:
1357  __simd_storage<_Tp, _Abi> __s_;
1358
1359  template <class _Up>
1360  static constexpr bool __can_broadcast() {
1361    return (std::is_arithmetic<_Up>::value &&
1362            __is_non_narrowing_arithmetic_convertible<_Up, _Tp>()) ||
1363           (!std::is_arithmetic<_Up>::value &&
1364            std::is_convertible<_Up, _Tp>::value) ||
1365           std::is_same<typename std::remove_const<_Up>::type, int>::value ||
1366           (std::is_same<typename std::remove_const<_Up>::type,
1367                         unsigned int>::value &&
1368            std::is_unsigned<_Tp>::value);
1369  }
1370
1371  template <class _Generator, size_t... __indicies>
1372  static constexpr decltype(
1373      std::forward_as_tuple(std::declval<_Generator>()(
1374          std::integral_constant<size_t, __indicies>())...),
1375      bool())
1376  __can_generate(std::index_sequence<__indicies...>) {
1377    return !__variadic_sum<bool>(
1378        !__can_broadcast<decltype(std::declval<_Generator>()(
1379            std::integral_constant<size_t, __indicies>()))>()...);
1380  }
1381
1382  template <class _Generator>
1383  static bool __can_generate(...) {
1384    return false;
1385  }
1386
1387  template <class _Generator, size_t... __indicies>
1388  void __generator_init(_Generator&& __g, std::index_sequence<__indicies...>) {
1389    int __not_used[]{((*this)[__indicies] =
1390                          __g(std::integral_constant<size_t, __indicies>()),
1391                      0)...};
1392    (void)__not_used;
1393  }
1394
1395public:
1396  // implicit type conversion constructor
1397  template <class _Up,
1398            class = typename std::enable_if<
1399                std::is_same<_Abi, simd_abi::fixed_size<size()>>::value &&
1400                __is_non_narrowing_arithmetic_convertible<_Up, _Tp>()>::type>
1401  simd(const simd<_Up, simd_abi::fixed_size<size()>>& __v) {
1402    for (size_t __i = 0; __i < size(); __i++) {
1403      (*this)[__i] = static_cast<_Tp>(__v[__i]);
1404    }
1405  }
1406
1407  // implicit broadcast constructor
1408  template <class _Up,
1409            class = typename std::enable_if<__can_broadcast<_Up>()>::type>
1410  simd(_Up&& __rv) {
1411    auto __v = static_cast<_Tp>(__rv);
1412    for (size_t __i = 0; __i < size(); __i++) {
1413      (*this)[__i] = __v;
1414    }
1415  }
1416
1417  // generator constructor
1418  template <class _Generator,
1419            int = typename std::enable_if<
1420                __can_generate<_Generator>(std::make_index_sequence<size()>()),
1421                int>::type()>
1422  explicit simd(_Generator&& __g) {
1423    __generator_init(std::forward<_Generator>(__g),
1424                     std::make_index_sequence<size()>());
1425  }
1426
1427  // load constructor
1428  template <
1429      class _Up, class _Flags,
1430      class = typename std::enable_if<__vectorizable<_Up>()>::type,
1431      class = typename std::enable_if<is_simd_flag_type<_Flags>::value>::type>
1432  simd(const _Up* __buffer, _Flags) {
1433    // TODO: optimize for overaligned flags
1434    for (size_t __i = 0; __i < size(); __i++) {
1435      (*this)[__i] = static_cast<_Tp>(__buffer[__i]);
1436    }
1437  }
1438
1439  // loads [simd.load]
1440  template <class _Up, class _Flags>
1441  typename std::enable_if<__vectorizable<_Up>() &&
1442                          is_simd_flag_type<_Flags>::value>::type
1443  copy_from(const _Up* __buffer, _Flags) {
1444    *this = simd(__buffer, _Flags());
1445  }
1446
1447  // stores [simd.store]
1448  template <class _Up, class _Flags>
1449  typename std::enable_if<__vectorizable<_Up>() &&
1450                          is_simd_flag_type<_Flags>::value>::type
1451  copy_to(_Up* __buffer, _Flags) const {
1452    // TODO: optimize for overaligned flags
1453    for (size_t __i = 0; __i < size(); __i++) {
1454      __buffer[__i] = static_cast<_Up>((*this)[__i]);
1455    }
1456  }
1457
1458  // scalar access [simd.subscr]
1459  reference operator[](size_t __i) { return reference(&__s_, __i); }
1460
1461  value_type operator[](size_t __i) const { return __s_.__get(__i); }
1462
1463  // unary operators [simd.unary]
1464  simd& operator++();
1465  simd operator++(int);
1466  simd& operator--();
1467  simd operator--(int);
1468  mask_type operator!() const;
1469  simd operator~() const;
1470  simd operator+() const;
1471  simd operator-() const;
1472
1473  // binary operators [simd.binary]
1474  friend simd operator+(const simd&, const simd&);
1475  friend simd operator-(const simd&, const simd&);
1476  friend simd operator*(const simd&, const simd&);
1477  friend simd operator/(const simd&, const simd&);
1478  friend simd operator%(const simd&, const simd&);
1479  friend simd operator&(const simd&, const simd&);
1480  friend simd operator|(const simd&, const simd&);
1481  friend simd operator^(const simd&, const simd&);
1482  friend simd operator<<(const simd&, const simd&);
1483  friend simd operator>>(const simd&, const simd&);
1484  friend simd operator<<(const simd&, int);
1485  friend simd operator>>(const simd&, int);
1486
1487  // compound assignment [simd.cassign]
1488  friend simd& operator+=(simd&, const simd&);
1489  friend simd& operator-=(simd&, const simd&);
1490  friend simd& operator*=(simd&, const simd&);
1491  friend simd& operator/=(simd&, const simd&);
1492  friend simd& operator%=(simd&, const simd&);
1493
1494  friend simd& operator&=(simd&, const simd&);
1495  friend simd& operator|=(simd&, const simd&);
1496  friend simd& operator^=(simd&, const simd&);
1497  friend simd& operator<<=(simd&, const simd&);
1498  friend simd& operator>>=(simd&, const simd&);
1499  friend simd& operator<<=(simd&, int);
1500  friend simd& operator>>=(simd&, int);
1501
1502  // compares [simd.comparison]
1503  friend mask_type operator==(const simd&, const simd&);
1504  friend mask_type operator!=(const simd&, const simd&);
1505  friend mask_type operator>=(const simd&, const simd&);
1506  friend mask_type operator<=(const simd&, const simd&);
1507  friend mask_type operator>(const simd&, const simd&);
1508  friend mask_type operator<(const simd&, const simd&);
1509};
1510
1511// [simd.mask.class]
1512template <class _Tp, class _Abi>
1513// TODO: implement simd_mask
1514class simd_mask {
1515public:
1516  using value_type = bool;
1517  // TODO: this is strawman implementation. Turn it into a proxy type.
1518  using reference = bool&;
1519  using simd_type = simd<_Tp, _Abi>;
1520  using abi_type = _Abi;
1521  static constexpr size_t size() noexcept;
1522  simd_mask() = default;
1523
1524  // broadcast constructor
1525  explicit simd_mask(value_type) noexcept;
1526
1527  // implicit type conversion constructor
1528  template <class _Up>
1529  simd_mask(const simd_mask<_Up, simd_abi::fixed_size<size()>>&) noexcept;
1530
1531  // load constructor
1532  template <class _Flags>
1533  simd_mask(const value_type*, _Flags);
1534
1535  // loads [simd.mask.copy]
1536  template <class _Flags>
1537  void copy_from(const value_type*, _Flags);
1538  template <class _Flags>
1539  void copy_to(value_type*, _Flags) const;
1540
1541  // scalar access [simd.mask.subscr]
1542  reference operator[](size_t);
1543  value_type operator[](size_t) const;
1544
1545  // unary operators [simd.mask.unary]
1546  simd_mask operator!() const noexcept;
1547
1548  // simd_mask binary operators [simd.mask.binary]
1549  friend simd_mask operator&&(const simd_mask&, const simd_mask&) noexcept;
1550  friend simd_mask operator||(const simd_mask&, const simd_mask&) noexcept;
1551  friend simd_mask operator&(const simd_mask&, const simd_mask&)noexcept;
1552  friend simd_mask operator|(const simd_mask&, const simd_mask&) noexcept;
1553  friend simd_mask operator^(const simd_mask&, const simd_mask&) noexcept;
1554
1555  // simd_mask compound assignment [simd.mask.cassign]
1556  friend simd_mask& operator&=(simd_mask&, const simd_mask&) noexcept;
1557  friend simd_mask& operator|=(simd_mask&, const simd_mask&) noexcept;
1558  friend simd_mask& operator^=(simd_mask&, const simd_mask&) noexcept;
1559
1560  // simd_mask compares [simd.mask.comparison]
1561  friend simd_mask operator==(const simd_mask&, const simd_mask&) noexcept;
1562  friend simd_mask operator!=(const simd_mask&, const simd_mask&) noexcept;
1563};
1564
1565#endif // _LIBCPP_STD_VER >= 17
1566
1567_LIBCPP_END_NAMESPACE_EXPERIMENTAL_SIMD
1568
1569#endif /* _LIBCPP_EXPERIMENTAL_SIMD */
1570