//===----------------------------------------------------------------------===//
//
// 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_NORMAL_DISTRIBUTION_H
#define _LIBCPP___RANDOM_NORMAL_DISTRIBUTION_H

#include <__config>
#include <__random/is_valid.h>
#include <__random/uniform_real_distribution.h>
#include <cmath>
#include <iosfwd>
#include <limits>

#if !defined(_LIBCPP_HAS_NO_PRAGMA_SYSTEM_HEADER)
#  pragma GCC system_header
#endif

_LIBCPP_PUSH_MACROS
#include <__undef_macros>

_LIBCPP_BEGIN_NAMESPACE_STD

template<class _RealType = double>
class _LIBCPP_TEMPLATE_VIS normal_distribution
{
public:
    // types
    typedef _RealType result_type;

    class _LIBCPP_TEMPLATE_VIS param_type
    {
        result_type __mean_;
        result_type __stddev_;
    public:
        typedef normal_distribution distribution_type;

        _LIBCPP_INLINE_VISIBILITY
        explicit param_type(result_type __mean = 0, result_type __stddev = 1)
            : __mean_(__mean), __stddev_(__stddev) {}

        _LIBCPP_INLINE_VISIBILITY
        result_type mean() const {return __mean_;}
        _LIBCPP_INLINE_VISIBILITY
        result_type stddev() const {return __stddev_;}

        friend _LIBCPP_INLINE_VISIBILITY
            bool operator==(const param_type& __x, const param_type& __y)
            {return __x.__mean_ == __y.__mean_ && __x.__stddev_ == __y.__stddev_;}
        friend _LIBCPP_INLINE_VISIBILITY
            bool operator!=(const param_type& __x, const param_type& __y)
            {return !(__x == __y);}
    };

private:
    param_type __p_;
    result_type __v_;
    bool __v_hot_;

public:
    // constructors and reset functions
#ifndef _LIBCPP_CXX03_LANG
    _LIBCPP_INLINE_VISIBILITY
    normal_distribution() : normal_distribution(0) {}
    _LIBCPP_INLINE_VISIBILITY
    explicit normal_distribution(result_type __mean, result_type __stddev = 1)
        : __p_(param_type(__mean, __stddev)), __v_hot_(false) {}
#else
    _LIBCPP_INLINE_VISIBILITY
    explicit normal_distribution(result_type __mean = 0,
                                 result_type __stddev = 1)
        : __p_(param_type(__mean, __stddev)), __v_hot_(false) {}
#endif
    _LIBCPP_INLINE_VISIBILITY
    explicit normal_distribution(const param_type& __p)
        : __p_(__p), __v_hot_(false) {}
    _LIBCPP_INLINE_VISIBILITY
    void reset() {__v_hot_ = false;}

    // generating functions
    template<class _URNG>
        _LIBCPP_INLINE_VISIBILITY
        result_type operator()(_URNG& __g)
        {return (*this)(__g, __p_);}
    template<class _URNG> result_type operator()(_URNG& __g, const param_type& __p);

    // property functions
    _LIBCPP_INLINE_VISIBILITY
    result_type mean() const {return __p_.mean();}
    _LIBCPP_INLINE_VISIBILITY
    result_type stddev() const {return __p_.stddev();}

    _LIBCPP_INLINE_VISIBILITY
    param_type param() const {return __p_;}
    _LIBCPP_INLINE_VISIBILITY
    void param(const param_type& __p) {__p_ = __p;}

    _LIBCPP_INLINE_VISIBILITY
    result_type min() const {return -numeric_limits<result_type>::infinity();}
    _LIBCPP_INLINE_VISIBILITY
    result_type max() const {return numeric_limits<result_type>::infinity();}

    friend _LIBCPP_INLINE_VISIBILITY
        bool operator==(const normal_distribution& __x,
                        const normal_distribution& __y)
        {return __x.__p_ == __y.__p_ && __x.__v_hot_ == __y.__v_hot_ &&
                (!__x.__v_hot_ || __x.__v_ == __y.__v_);}
    friend _LIBCPP_INLINE_VISIBILITY
        bool operator!=(const normal_distribution& __x,
                        const normal_distribution& __y)
        {return !(__x == __y);}

    template <class _CharT, class _Traits, class _RT>
    friend
    basic_ostream<_CharT, _Traits>&
    operator<<(basic_ostream<_CharT, _Traits>& __os,
               const normal_distribution<_RT>& __x);

    template <class _CharT, class _Traits, class _RT>
    friend
    basic_istream<_CharT, _Traits>&
    operator>>(basic_istream<_CharT, _Traits>& __is,
               normal_distribution<_RT>& __x);
};

template <class _RealType>
template<class _URNG>
_RealType
normal_distribution<_RealType>::operator()(_URNG& __g, const param_type& __p)
{
    static_assert(__libcpp_random_is_valid_urng<_URNG>::value, "");
    result_type __up;
    if (__v_hot_)
    {
        __v_hot_ = false;
        __up = __v_;
    }
    else
    {
        uniform_real_distribution<result_type> __uni(-1, 1);
        result_type __u;
        result_type __v;
        result_type __s;
        do
        {
            __u = __uni(__g);
            __v = __uni(__g);
            __s = __u * __u + __v * __v;
        } while (__s > 1 || __s == 0);
        result_type __fp = _VSTD::sqrt(-2 * _VSTD::log(__s) / __s);
        __v_ = __v * __fp;
        __v_hot_ = true;
        __up = __u * __fp;
    }
    return __up * __p.stddev() + __p.mean();
}

template <class _CharT, class _Traits, class _RT>
_LIBCPP_HIDE_FROM_ABI basic_ostream<_CharT, _Traits>&
operator<<(basic_ostream<_CharT, _Traits>& __os,
           const normal_distribution<_RT>& __x)
{
    __save_flags<_CharT, _Traits> __lx(__os);
    typedef basic_ostream<_CharT, _Traits> _OStream;
    __os.flags(_OStream::dec | _OStream::left | _OStream::fixed |
               _OStream::scientific);
    _CharT __sp = __os.widen(' ');
    __os.fill(__sp);
    __os << __x.mean() << __sp << __x.stddev() << __sp << __x.__v_hot_;
    if (__x.__v_hot_)
        __os << __sp << __x.__v_;
    return __os;
}

template <class _CharT, class _Traits, class _RT>
_LIBCPP_HIDE_FROM_ABI basic_istream<_CharT, _Traits>&
operator>>(basic_istream<_CharT, _Traits>& __is,
           normal_distribution<_RT>& __x)
{
    typedef normal_distribution<_RT> _Eng;
    typedef typename _Eng::result_type result_type;
    typedef typename _Eng::param_type param_type;
    __save_flags<_CharT, _Traits> __lx(__is);
    typedef basic_istream<_CharT, _Traits> _Istream;
    __is.flags(_Istream::dec | _Istream::skipws);
    result_type __mean;
    result_type __stddev;
    result_type __vp = 0;
    bool __v_hot = false;
    __is >> __mean >> __stddev >> __v_hot;
    if (__v_hot)
        __is >> __vp;
    if (!__is.fail())
    {
        __x.param(param_type(__mean, __stddev));
        __x.__v_hot_ = __v_hot;
        __x.__v_ = __vp;
    }
    return __is;
}

_LIBCPP_END_NAMESPACE_STD

_LIBCPP_POP_MACROS

#endif // _LIBCPP___RANDOM_NORMAL_DISTRIBUTION_H