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  1//===----------------------------------------------------------------------===//
  2//
  3// Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions.
  4// See https://llvm.org/LICENSE.txt for license information.
  5// SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception
  6//
  7//===----------------------------------------------------------------------===//
  8
  9#ifndef _LIBCPP___RANDOM_SUBTRACT_WITH_CARRY_ENGINE_H
 10#define _LIBCPP___RANDOM_SUBTRACT_WITH_CARRY_ENGINE_H
 11
 12#include <__algorithm/equal.h>
 13#include <__algorithm/min.h>
 14#include <__config>
 15#include <__cstddef/size_t.h>
 16#include <__random/is_seed_sequence.h>
 17#include <__random/linear_congruential_engine.h>
 18#include <__type_traits/enable_if.h>
 19#include <cstdint>
 20#include <iosfwd>
 21#include <limits>
 22
 23#if !defined(_LIBCPP_HAS_NO_PRAGMA_SYSTEM_HEADER)
 24#  pragma GCC system_header
 25#endif
 26
 27_LIBCPP_PUSH_MACROS
 28#include <__undef_macros>
 29
 30_LIBCPP_BEGIN_NAMESPACE_STD
 31
 32template <class _UIntType, size_t __w, size_t __s, size_t __r>
 33class subtract_with_carry_engine;
 34
 35template <class _UInt, size_t _Wp, size_t _Sp, size_t _Rp>
 36_LIBCPP_HIDE_FROM_ABI bool operator==(const subtract_with_carry_engine<_UInt, _Wp, _Sp, _Rp>& __x,
 37                                      const subtract_with_carry_engine<_UInt, _Wp, _Sp, _Rp>& __y);
 38
 39template <class _UInt, size_t _Wp, size_t _Sp, size_t _Rp>
 40_LIBCPP_HIDE_FROM_ABI bool operator!=(const subtract_with_carry_engine<_UInt, _Wp, _Sp, _Rp>& __x,
 41                                      const subtract_with_carry_engine<_UInt, _Wp, _Sp, _Rp>& __y);
 42
 43template <class _CharT, class _Traits, class _UInt, size_t _Wp, size_t _Sp, size_t _Rp>
 44_LIBCPP_HIDE_FROM_ABI basic_ostream<_CharT, _Traits>&
 45operator<<(basic_ostream<_CharT, _Traits>& __os, const subtract_with_carry_engine<_UInt, _Wp, _Sp, _Rp>& __x);
 46
 47template <class _CharT, class _Traits, class _UInt, size_t _Wp, size_t _Sp, size_t _Rp>
 48_LIBCPP_HIDE_FROM_ABI basic_istream<_CharT, _Traits>&
 49operator>>(basic_istream<_CharT, _Traits>& __is, subtract_with_carry_engine<_UInt, _Wp, _Sp, _Rp>& __x);
 50
 51template <class _UIntType, size_t __w, size_t __s, size_t __r>
 52class subtract_with_carry_engine {
 53public:
 54  // types
 55  typedef _UIntType result_type;
 56
 57private:
 58  result_type __x_[__r];
 59  result_type __c_;
 60  size_t __i_;
 61
 62  static _LIBCPP_CONSTEXPR const result_type _Dt = numeric_limits<result_type>::digits;
 63  static_assert(0 < __w, "subtract_with_carry_engine invalid parameters");
 64  static_assert(__w <= _Dt, "subtract_with_carry_engine invalid parameters");
 65  static_assert(0 < __s, "subtract_with_carry_engine invalid parameters");
 66  static_assert(__s < __r, "subtract_with_carry_engine invalid parameters");
 67
 68public:
 69  static _LIBCPP_CONSTEXPR const result_type _Min = 0;
 70  static _LIBCPP_CONSTEXPR const result_type _Max =
 71      __w == _Dt ? result_type(~0) : (result_type(1) << __w) - result_type(1);
 72  static_assert(_Min < _Max, "subtract_with_carry_engine invalid parameters");
 73
 74  // engine characteristics
 75  static inline _LIBCPP_CONSTEXPR const size_t word_size = __w;
 76  static inline _LIBCPP_CONSTEXPR const size_t short_lag = __s;
 77  static inline _LIBCPP_CONSTEXPR const size_t long_lag  = __r;
 78  _LIBCPP_HIDE_FROM_ABI static _LIBCPP_CONSTEXPR result_type min() { return _Min; }
 79  _LIBCPP_HIDE_FROM_ABI static _LIBCPP_CONSTEXPR result_type max() { return _Max; }
 80  static inline _LIBCPP_CONSTEXPR const result_type default_seed = 19780503u;
 81
 82  // constructors and seeding functions
 83#ifndef _LIBCPP_CXX03_LANG
 84  _LIBCPP_HIDE_FROM_ABI subtract_with_carry_engine() : subtract_with_carry_engine(default_seed) {}
 85  _LIBCPP_HIDE_FROM_ABI explicit subtract_with_carry_engine(result_type __sd) { seed(__sd); }
 86#else
 87  _LIBCPP_HIDE_FROM_ABI explicit subtract_with_carry_engine(result_type __sd = default_seed) { seed(__sd); }
 88#endif
 89  template <class _Sseq, __enable_if_t<__is_seed_sequence<_Sseq, subtract_with_carry_engine>::value, int> = 0>
 90  _LIBCPP_HIDE_FROM_ABI explicit subtract_with_carry_engine(_Sseq& __q) {
 91    seed(__q);
 92  }
 93  _LIBCPP_HIDE_FROM_ABI void seed(result_type __sd = default_seed) {
 94    seed(__sd, integral_constant<unsigned, 1 + (__w - 1) / 32>());
 95  }
 96  template <class _Sseq, __enable_if_t<__is_seed_sequence<_Sseq, subtract_with_carry_engine>::value, int> = 0>
 97  _LIBCPP_HIDE_FROM_ABI void seed(_Sseq& __q) {
 98    __seed(__q, integral_constant<unsigned, 1 + (__w - 1) / 32>());
 99  }
100
101  // generating functions
102  _LIBCPP_HIDE_FROM_ABI result_type operator()();
103  _LIBCPP_HIDE_FROM_ABI void discard(unsigned long long __z) {
104    for (; __z; --__z)
105      operator()();
106  }
107
108  template <class _UInt, size_t _Wp, size_t _Sp, size_t _Rp>
109  friend bool operator==(const subtract_with_carry_engine<_UInt, _Wp, _Sp, _Rp>& __x,
110                         const subtract_with_carry_engine<_UInt, _Wp, _Sp, _Rp>& __y);
111
112  template <class _UInt, size_t _Wp, size_t _Sp, size_t _Rp>
113  friend bool operator!=(const subtract_with_carry_engine<_UInt, _Wp, _Sp, _Rp>& __x,
114                         const subtract_with_carry_engine<_UInt, _Wp, _Sp, _Rp>& __y);
115
116  template <class _CharT, class _Traits, class _UInt, size_t _Wp, size_t _Sp, size_t _Rp>
117  friend basic_ostream<_CharT, _Traits>&
118  operator<<(basic_ostream<_CharT, _Traits>& __os, const subtract_with_carry_engine<_UInt, _Wp, _Sp, _Rp>& __x);
119
120  template <class _CharT, class _Traits, class _UInt, size_t _Wp, size_t _Sp, size_t _Rp>
121  friend basic_istream<_CharT, _Traits>&
122  operator>>(basic_istream<_CharT, _Traits>& __is, subtract_with_carry_engine<_UInt, _Wp, _Sp, _Rp>& __x);
123
124private:
125  _LIBCPP_HIDE_FROM_ABI void seed(result_type __sd, integral_constant<unsigned, 1>);
126  _LIBCPP_HIDE_FROM_ABI void seed(result_type __sd, integral_constant<unsigned, 2>);
127  template <class _Sseq>
128  _LIBCPP_HIDE_FROM_ABI void __seed(_Sseq& __q, integral_constant<unsigned, 1>);
129  template <class _Sseq>
130  _LIBCPP_HIDE_FROM_ABI void __seed(_Sseq& __q, integral_constant<unsigned, 2>);
131};
132
133template <class _UIntType, size_t __w, size_t __s, size_t __r>
134void subtract_with_carry_engine<_UIntType, __w, __s, __r>::seed(result_type __sd, integral_constant<unsigned, 1>) {
135  linear_congruential_engine<result_type, 40014u, 0u, 2147483563u> __e(__sd == 0u ? default_seed : __sd);
136  for (size_t __i = 0; __i < __r; ++__i)
137    __x_[__i] = static_cast<result_type>(__e() & _Max);
138  __c_ = __x_[__r - 1] == 0;
139  __i_ = 0;
140}
141
142template <class _UIntType, size_t __w, size_t __s, size_t __r>
143void subtract_with_carry_engine<_UIntType, __w, __s, __r>::seed(result_type __sd, integral_constant<unsigned, 2>) {
144  linear_congruential_engine<result_type, 40014u, 0u, 2147483563u> __e(__sd == 0u ? default_seed : __sd);
145  for (size_t __i = 0; __i < __r; ++__i) {
146    result_type __e0 = __e();
147    __x_[__i]        = static_cast<result_type>((__e0 + ((uint64_t)__e() << 32)) & _Max);
148  }
149  __c_ = __x_[__r - 1] == 0;
150  __i_ = 0;
151}
152
153template <class _UIntType, size_t __w, size_t __s, size_t __r>
154template <class _Sseq>
155void subtract_with_carry_engine<_UIntType, __w, __s, __r>::__seed(_Sseq& __q, integral_constant<unsigned, 1>) {
156  const unsigned __k = 1;
157  uint32_t __ar[__r * __k];
158  __q.generate(__ar, __ar + __r * __k);
159  for (size_t __i = 0; __i < __r; ++__i)
160    __x_[__i] = static_cast<result_type>(__ar[__i] & _Max);
161  __c_ = __x_[__r - 1] == 0;
162  __i_ = 0;
163}
164
165template <class _UIntType, size_t __w, size_t __s, size_t __r>
166template <class _Sseq>
167void subtract_with_carry_engine<_UIntType, __w, __s, __r>::__seed(_Sseq& __q, integral_constant<unsigned, 2>) {
168  const unsigned __k = 2;
169  uint32_t __ar[__r * __k];
170  __q.generate(__ar, __ar + __r * __k);
171  for (size_t __i = 0; __i < __r; ++__i)
172    __x_[__i] = static_cast<result_type>((__ar[2 * __i] + ((uint64_t)__ar[2 * __i + 1] << 32)) & _Max);
173  __c_ = __x_[__r - 1] == 0;
174  __i_ = 0;
175}
176
177template <class _UIntType, size_t __w, size_t __s, size_t __r>
178_UIntType subtract_with_carry_engine<_UIntType, __w, __s, __r>::operator()() {
179  const result_type& __xs = __x_[(__i_ + (__r - __s)) % __r];
180  result_type& __xr       = __x_[__i_];
181  result_type __new_c     = __c_ == 0 ? __xs < __xr : __xs != 0 ? __xs <= __xr : 1;
182  __xr                    = (__xs - __xr - __c_) & _Max;
183  __c_                    = __new_c;
184  __i_                    = (__i_ + 1) % __r;
185  return __xr;
186}
187
188template <class _UInt, size_t _Wp, size_t _Sp, size_t _Rp>
189_LIBCPP_HIDE_FROM_ABI bool operator==(const subtract_with_carry_engine<_UInt, _Wp, _Sp, _Rp>& __x,
190                                      const subtract_with_carry_engine<_UInt, _Wp, _Sp, _Rp>& __y) {
191  if (__x.__c_ != __y.__c_)
192    return false;
193  if (__x.__i_ == __y.__i_)
194    return std::equal(__x.__x_, __x.__x_ + _Rp, __y.__x_);
195  if (__x.__i_ == 0 || __y.__i_ == 0) {
196    size_t __j = std::min(_Rp - __x.__i_, _Rp - __y.__i_);
197    if (!std::equal(__x.__x_ + __x.__i_, __x.__x_ + __x.__i_ + __j, __y.__x_ + __y.__i_))
198      return false;
199    if (__x.__i_ == 0)
200      return std::equal(__x.__x_ + __j, __x.__x_ + _Rp, __y.__x_);
201    return std::equal(__x.__x_, __x.__x_ + (_Rp - __j), __y.__x_ + __j);
202  }
203  if (__x.__i_ < __y.__i_) {
204    size_t __j = _Rp - __y.__i_;
205    if (!std::equal(__x.__x_ + __x.__i_, __x.__x_ + (__x.__i_ + __j), __y.__x_ + __y.__i_))
206      return false;
207    if (!std::equal(__x.__x_ + (__x.__i_ + __j), __x.__x_ + _Rp, __y.__x_))
208      return false;
209    return std::equal(__x.__x_, __x.__x_ + __x.__i_, __y.__x_ + (_Rp - (__x.__i_ + __j)));
210  }
211  size_t __j = _Rp - __x.__i_;
212  if (!std::equal(__y.__x_ + __y.__i_, __y.__x_ + (__y.__i_ + __j), __x.__x_ + __x.__i_))
213    return false;
214  if (!std::equal(__y.__x_ + (__y.__i_ + __j), __y.__x_ + _Rp, __x.__x_))
215    return false;
216  return std::equal(__y.__x_, __y.__x_ + __y.__i_, __x.__x_ + (_Rp - (__y.__i_ + __j)));
217}
218
219template <class _UInt, size_t _Wp, size_t _Sp, size_t _Rp>
220inline _LIBCPP_HIDE_FROM_ABI bool operator!=(const subtract_with_carry_engine<_UInt, _Wp, _Sp, _Rp>& __x,
221                                             const subtract_with_carry_engine<_UInt, _Wp, _Sp, _Rp>& __y) {
222  return !(__x == __y);
223}
224
225template <class _CharT, class _Traits, class _UInt, size_t _Wp, size_t _Sp, size_t _Rp>
226_LIBCPP_HIDE_FROM_ABI basic_ostream<_CharT, _Traits>&
227operator<<(basic_ostream<_CharT, _Traits>& __os, const subtract_with_carry_engine<_UInt, _Wp, _Sp, _Rp>& __x) {
228  __save_flags<_CharT, _Traits> __lx(__os);
229  typedef basic_ostream<_CharT, _Traits> _Ostream;
230  __os.flags(_Ostream::dec | _Ostream::left);
231  _CharT __sp = __os.widen(' ');
232  __os.fill(__sp);
233  __os << __x.__x_[__x.__i_];
234  for (size_t __j = __x.__i_ + 1; __j < _Rp; ++__j)
235    __os << __sp << __x.__x_[__j];
236  for (size_t __j = 0; __j < __x.__i_; ++__j)
237    __os << __sp << __x.__x_[__j];
238  __os << __sp << __x.__c_;
239  return __os;
240}
241
242template <class _CharT, class _Traits, class _UInt, size_t _Wp, size_t _Sp, size_t _Rp>
243_LIBCPP_HIDE_FROM_ABI basic_istream<_CharT, _Traits>&
244operator>>(basic_istream<_CharT, _Traits>& __is, subtract_with_carry_engine<_UInt, _Wp, _Sp, _Rp>& __x) {
245  __save_flags<_CharT, _Traits> __lx(__is);
246  typedef basic_istream<_CharT, _Traits> _Istream;
247  __is.flags(_Istream::dec | _Istream::skipws);
248  _UInt __t[_Rp + 1];
249  for (size_t __i = 0; __i < _Rp + 1; ++__i)
250    __is >> __t[__i];
251  if (!__is.fail()) {
252    for (size_t __i = 0; __i < _Rp; ++__i)
253      __x.__x_[__i] = __t[__i];
254    __x.__c_ = __t[_Rp];
255    __x.__i_ = 0;
256  }
257  return __is;
258}
259
260_LIBCPP_END_NAMESPACE_STD
261
262_LIBCPP_POP_MACROS
263
264#endif // _LIBCPP___RANDOM_SUBTRACT_WITH_CARRY_ENGINE_H