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- //===----------------------------------------------------------------------===//
- //
- // Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions.
- // See https://llvm.org/LICENSE.txt for license information.
- // SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception
- //
- //===----------------------------------------------------------------------===//
- #ifndef _LIBCPP___RANDOM_LINEAR_CONGRUENTIAL_ENGINE_H
- #define _LIBCPP___RANDOM_LINEAR_CONGRUENTIAL_ENGINE_H
- #include <__config>
- #include <__random/is_seed_sequence.h>
- #include <__type_traits/enable_if.h>
- #include <__type_traits/integral_constant.h>
- #include <__type_traits/is_unsigned.h>
- #include <cstdint>
- #include <iosfwd>
- #if !defined(_LIBCPP_HAS_NO_PRAGMA_SYSTEM_HEADER)
- # pragma GCC system_header
- #endif
- _LIBCPP_PUSH_MACROS
- #include <__undef_macros>
- _LIBCPP_BEGIN_NAMESPACE_STD
- template <unsigned long long __a, unsigned long long __c,
- unsigned long long __m, unsigned long long _Mp,
- bool _MightOverflow = (__a != 0 && __m != 0 && __m-1 > (_Mp-__c)/__a),
- bool _OverflowOK = ((__m | (__m-1)) > __m), // m = 2^n
- bool _SchrageOK = (__a != 0 && __m != 0 && __m % __a <= __m / __a)> // r <= q
- struct __lce_alg_picker
- {
- static_assert(__a != 0 || __m != 0 || !_MightOverflow || _OverflowOK || _SchrageOK,
- "The current values of a, c, and m cannot generate a number "
- "within bounds of linear_congruential_engine.");
- static _LIBCPP_CONSTEXPR const bool __use_schrage = _MightOverflow &&
- !_OverflowOK &&
- _SchrageOK;
- };
- template <unsigned long long __a, unsigned long long __c,
- unsigned long long __m, unsigned long long _Mp,
- bool _UseSchrage = __lce_alg_picker<__a, __c, __m, _Mp>::__use_schrage>
- struct __lce_ta;
- // 64
- template <unsigned long long __a, unsigned long long __c, unsigned long long __m>
- struct __lce_ta<__a, __c, __m, (unsigned long long)(~0), true>
- {
- typedef unsigned long long result_type;
- _LIBCPP_INLINE_VISIBILITY
- static result_type next(result_type __x)
- {
- // Schrage's algorithm
- const result_type __q = __m / __a;
- const result_type __r = __m % __a;
- const result_type __t0 = __a * (__x % __q);
- const result_type __t1 = __r * (__x / __q);
- __x = __t0 + (__t0 < __t1) * __m - __t1;
- __x += __c - (__x >= __m - __c) * __m;
- return __x;
- }
- };
- template <unsigned long long __a, unsigned long long __m>
- struct __lce_ta<__a, 0, __m, (unsigned long long)(~0), true>
- {
- typedef unsigned long long result_type;
- _LIBCPP_INLINE_VISIBILITY
- static result_type next(result_type __x)
- {
- // Schrage's algorithm
- const result_type __q = __m / __a;
- const result_type __r = __m % __a;
- const result_type __t0 = __a * (__x % __q);
- const result_type __t1 = __r * (__x / __q);
- __x = __t0 + (__t0 < __t1) * __m - __t1;
- return __x;
- }
- };
- template <unsigned long long __a, unsigned long long __c, unsigned long long __m>
- struct __lce_ta<__a, __c, __m, (unsigned long long)(~0), false>
- {
- typedef unsigned long long result_type;
- _LIBCPP_INLINE_VISIBILITY
- static result_type next(result_type __x)
- {
- return (__a * __x + __c) % __m;
- }
- };
- template <unsigned long long __a, unsigned long long __c>
- struct __lce_ta<__a, __c, 0, (unsigned long long)(~0), false>
- {
- typedef unsigned long long result_type;
- _LIBCPP_INLINE_VISIBILITY
- static result_type next(result_type __x)
- {
- return __a * __x + __c;
- }
- };
- // 32
- template <unsigned long long _Ap, unsigned long long _Cp, unsigned long long _Mp>
- struct __lce_ta<_Ap, _Cp, _Mp, unsigned(~0), true>
- {
- typedef unsigned result_type;
- _LIBCPP_INLINE_VISIBILITY
- static result_type next(result_type __x)
- {
- const result_type __a = static_cast<result_type>(_Ap);
- const result_type __c = static_cast<result_type>(_Cp);
- const result_type __m = static_cast<result_type>(_Mp);
- // Schrage's algorithm
- const result_type __q = __m / __a;
- const result_type __r = __m % __a;
- const result_type __t0 = __a * (__x % __q);
- const result_type __t1 = __r * (__x / __q);
- __x = __t0 + (__t0 < __t1) * __m - __t1;
- __x += __c - (__x >= __m - __c) * __m;
- return __x;
- }
- };
- template <unsigned long long _Ap, unsigned long long _Mp>
- struct __lce_ta<_Ap, 0, _Mp, unsigned(~0), true>
- {
- typedef unsigned result_type;
- _LIBCPP_INLINE_VISIBILITY
- static result_type next(result_type __x)
- {
- const result_type __a = static_cast<result_type>(_Ap);
- const result_type __m = static_cast<result_type>(_Mp);
- // Schrage's algorithm
- const result_type __q = __m / __a;
- const result_type __r = __m % __a;
- const result_type __t0 = __a * (__x % __q);
- const result_type __t1 = __r * (__x / __q);
- __x = __t0 + (__t0 < __t1) * __m - __t1;
- return __x;
- }
- };
- template <unsigned long long _Ap, unsigned long long _Cp, unsigned long long _Mp>
- struct __lce_ta<_Ap, _Cp, _Mp, unsigned(~0), false>
- {
- typedef unsigned result_type;
- _LIBCPP_INLINE_VISIBILITY
- static result_type next(result_type __x)
- {
- const result_type __a = static_cast<result_type>(_Ap);
- const result_type __c = static_cast<result_type>(_Cp);
- const result_type __m = static_cast<result_type>(_Mp);
- return (__a * __x + __c) % __m;
- }
- };
- template <unsigned long long _Ap, unsigned long long _Cp>
- struct __lce_ta<_Ap, _Cp, 0, unsigned(~0), false>
- {
- typedef unsigned result_type;
- _LIBCPP_INLINE_VISIBILITY
- static result_type next(result_type __x)
- {
- const result_type __a = static_cast<result_type>(_Ap);
- const result_type __c = static_cast<result_type>(_Cp);
- return __a * __x + __c;
- }
- };
- // 16
- template <unsigned long long __a, unsigned long long __c, unsigned long long __m, bool __b>
- struct __lce_ta<__a, __c, __m, (unsigned short)(~0), __b>
- {
- typedef unsigned short result_type;
- _LIBCPP_INLINE_VISIBILITY
- static result_type next(result_type __x)
- {
- return static_cast<result_type>(__lce_ta<__a, __c, __m, unsigned(~0)>::next(__x));
- }
- };
- template <class _UIntType, _UIntType __a, _UIntType __c, _UIntType __m>
- class _LIBCPP_TEMPLATE_VIS linear_congruential_engine;
- template <class _CharT, class _Traits,
- class _Up, _Up _Ap, _Up _Cp, _Up _Np>
- _LIBCPP_INLINE_VISIBILITY
- basic_ostream<_CharT, _Traits>&
- operator<<(basic_ostream<_CharT, _Traits>& __os,
- const linear_congruential_engine<_Up, _Ap, _Cp, _Np>&);
- template <class _CharT, class _Traits,
- class _Up, _Up _Ap, _Up _Cp, _Up _Np>
- _LIBCPP_HIDE_FROM_ABI basic_istream<_CharT, _Traits>&
- operator>>(basic_istream<_CharT, _Traits>& __is,
- linear_congruential_engine<_Up, _Ap, _Cp, _Np>& __x);
- template <class _UIntType, _UIntType __a, _UIntType __c, _UIntType __m>
- class _LIBCPP_TEMPLATE_VIS linear_congruential_engine
- {
- public:
- // types
- typedef _UIntType result_type;
- private:
- result_type __x_;
- static _LIBCPP_CONSTEXPR const result_type _Mp = result_type(~0);
- static_assert(__m == 0 || __a < __m, "linear_congruential_engine invalid parameters");
- static_assert(__m == 0 || __c < __m, "linear_congruential_engine invalid parameters");
- static_assert(is_unsigned<_UIntType>::value, "_UIntType must be unsigned type");
- public:
- static _LIBCPP_CONSTEXPR const result_type _Min = __c == 0u ? 1u : 0u;
- static _LIBCPP_CONSTEXPR const result_type _Max = __m - _UIntType(1u);
- static_assert(_Min < _Max, "linear_congruential_engine invalid parameters");
- // engine characteristics
- static _LIBCPP_CONSTEXPR const result_type multiplier = __a;
- static _LIBCPP_CONSTEXPR const result_type increment = __c;
- static _LIBCPP_CONSTEXPR const result_type modulus = __m;
- _LIBCPP_INLINE_VISIBILITY
- static _LIBCPP_CONSTEXPR result_type min() {return _Min;}
- _LIBCPP_INLINE_VISIBILITY
- static _LIBCPP_CONSTEXPR result_type max() {return _Max;}
- static _LIBCPP_CONSTEXPR const result_type default_seed = 1u;
- // constructors and seeding functions
- #ifndef _LIBCPP_CXX03_LANG
- _LIBCPP_INLINE_VISIBILITY
- linear_congruential_engine() : linear_congruential_engine(default_seed) {}
- _LIBCPP_INLINE_VISIBILITY
- explicit linear_congruential_engine(result_type __s) { seed(__s); }
- #else
- _LIBCPP_INLINE_VISIBILITY
- explicit linear_congruential_engine(result_type __s = default_seed) {
- seed(__s);
- }
- #endif
- template<class _Sseq, __enable_if_t<__is_seed_sequence<_Sseq, linear_congruential_engine>::value, int> = 0>
- _LIBCPP_INLINE_VISIBILITY
- explicit linear_congruential_engine(_Sseq& __q)
- {seed(__q);}
- _LIBCPP_INLINE_VISIBILITY
- void seed(result_type __s = default_seed)
- {seed(integral_constant<bool, __m == 0>(),
- integral_constant<bool, __c == 0>(), __s);}
- template<class _Sseq, __enable_if_t<__is_seed_sequence<_Sseq, linear_congruential_engine>::value, int> = 0>
- _LIBCPP_INLINE_VISIBILITY
- void
- seed(_Sseq& __q)
- {__seed(__q, integral_constant<unsigned,
- 1 + (__m == 0 ? (sizeof(result_type) * __CHAR_BIT__ - 1)/32
- : (__m > 0x100000000ull))>());}
- // generating functions
- _LIBCPP_INLINE_VISIBILITY
- result_type operator()()
- {return __x_ = static_cast<result_type>(__lce_ta<__a, __c, __m, _Mp>::next(__x_));}
- _LIBCPP_INLINE_VISIBILITY
- void discard(unsigned long long __z) {for (; __z; --__z) operator()();}
- friend _LIBCPP_INLINE_VISIBILITY
- bool operator==(const linear_congruential_engine& __x,
- const linear_congruential_engine& __y)
- {return __x.__x_ == __y.__x_;}
- friend _LIBCPP_INLINE_VISIBILITY
- bool operator!=(const linear_congruential_engine& __x,
- const linear_congruential_engine& __y)
- {return !(__x == __y);}
- private:
- _LIBCPP_INLINE_VISIBILITY
- void seed(true_type, true_type, result_type __s) {__x_ = __s == 0 ? 1 : __s;}
- _LIBCPP_INLINE_VISIBILITY
- void seed(true_type, false_type, result_type __s) {__x_ = __s;}
- _LIBCPP_INLINE_VISIBILITY
- void seed(false_type, true_type, result_type __s) {__x_ = __s % __m == 0 ?
- 1 : __s % __m;}
- _LIBCPP_INLINE_VISIBILITY
- void seed(false_type, false_type, result_type __s) {__x_ = __s % __m;}
- template<class _Sseq>
- _LIBCPP_HIDE_FROM_ABI void __seed(_Sseq& __q, integral_constant<unsigned, 1>);
- template<class _Sseq>
- _LIBCPP_HIDE_FROM_ABI void __seed(_Sseq& __q, integral_constant<unsigned, 2>);
- template <class _CharT, class _Traits,
- class _Up, _Up _Ap, _Up _Cp, _Up _Np>
- friend
- basic_ostream<_CharT, _Traits>&
- operator<<(basic_ostream<_CharT, _Traits>& __os,
- const linear_congruential_engine<_Up, _Ap, _Cp, _Np>&);
- template <class _CharT, class _Traits,
- class _Up, _Up _Ap, _Up _Cp, _Up _Np>
- friend
- basic_istream<_CharT, _Traits>&
- operator>>(basic_istream<_CharT, _Traits>& __is,
- linear_congruential_engine<_Up, _Ap, _Cp, _Np>& __x);
- };
- template <class _UIntType, _UIntType __a, _UIntType __c, _UIntType __m>
- _LIBCPP_CONSTEXPR const typename linear_congruential_engine<_UIntType, __a, __c, __m>::result_type
- linear_congruential_engine<_UIntType, __a, __c, __m>::multiplier;
- template <class _UIntType, _UIntType __a, _UIntType __c, _UIntType __m>
- _LIBCPP_CONSTEXPR const typename linear_congruential_engine<_UIntType, __a, __c, __m>::result_type
- linear_congruential_engine<_UIntType, __a, __c, __m>::increment;
- template <class _UIntType, _UIntType __a, _UIntType __c, _UIntType __m>
- _LIBCPP_CONSTEXPR const typename linear_congruential_engine<_UIntType, __a, __c, __m>::result_type
- linear_congruential_engine<_UIntType, __a, __c, __m>::modulus;
- template <class _UIntType, _UIntType __a, _UIntType __c, _UIntType __m>
- _LIBCPP_CONSTEXPR const typename linear_congruential_engine<_UIntType, __a, __c, __m>::result_type
- linear_congruential_engine<_UIntType, __a, __c, __m>::default_seed;
- template <class _UIntType, _UIntType __a, _UIntType __c, _UIntType __m>
- template<class _Sseq>
- void
- linear_congruential_engine<_UIntType, __a, __c, __m>::__seed(_Sseq& __q,
- integral_constant<unsigned, 1>)
- {
- const unsigned __k = 1;
- uint32_t __ar[__k+3];
- __q.generate(__ar, __ar + __k + 3);
- result_type __s = static_cast<result_type>(__ar[3] % __m);
- __x_ = __c == 0 && __s == 0 ? result_type(1) : __s;
- }
- template <class _UIntType, _UIntType __a, _UIntType __c, _UIntType __m>
- template<class _Sseq>
- void
- linear_congruential_engine<_UIntType, __a, __c, __m>::__seed(_Sseq& __q,
- integral_constant<unsigned, 2>)
- {
- const unsigned __k = 2;
- uint32_t __ar[__k+3];
- __q.generate(__ar, __ar + __k + 3);
- result_type __s = static_cast<result_type>((__ar[3] +
- ((uint64_t)__ar[4] << 32)) % __m);
- __x_ = __c == 0 && __s == 0 ? result_type(1) : __s;
- }
- template <class _CharT, class _Traits,
- class _UIntType, _UIntType __a, _UIntType __c, _UIntType __m>
- inline _LIBCPP_INLINE_VISIBILITY
- basic_ostream<_CharT, _Traits>&
- operator<<(basic_ostream<_CharT, _Traits>& __os,
- const linear_congruential_engine<_UIntType, __a, __c, __m>& __x)
- {
- __save_flags<_CharT, _Traits> __lx(__os);
- typedef basic_ostream<_CharT, _Traits> _Ostream;
- __os.flags(_Ostream::dec | _Ostream::left);
- __os.fill(__os.widen(' '));
- return __os << __x.__x_;
- }
- template <class _CharT, class _Traits,
- class _UIntType, _UIntType __a, _UIntType __c, _UIntType __m>
- _LIBCPP_HIDE_FROM_ABI basic_istream<_CharT, _Traits>&
- operator>>(basic_istream<_CharT, _Traits>& __is,
- linear_congruential_engine<_UIntType, __a, __c, __m>& __x)
- {
- __save_flags<_CharT, _Traits> __lx(__is);
- typedef basic_istream<_CharT, _Traits> _Istream;
- __is.flags(_Istream::dec | _Istream::skipws);
- _UIntType __t;
- __is >> __t;
- if (!__is.fail())
- __x.__x_ = __t;
- return __is;
- }
- typedef linear_congruential_engine<uint_fast32_t, 16807, 0, 2147483647>
- minstd_rand0;
- typedef linear_congruential_engine<uint_fast32_t, 48271, 0, 2147483647>
- minstd_rand;
- _LIBCPP_END_NAMESPACE_STD
- _LIBCPP_POP_MACROS
- #endif // _LIBCPP___RANDOM_LINEAR_CONGRUENTIAL_ENGINE_H
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