// numeric standard header
#ifndef _NUMERIC_
#define _NUMERIC_
#include <xutility>

 #if _HAS_TRADITIONAL_STL
 #include <functional>
 #endif /* _HAS_TRADITIONAL_STL */

_STD_BEGIN

		// TEMPLATE FUNCTION accumulate
template<class _InIt,
	class _Ty> inline
	_Ty accumulate(_InIt _First, _InIt _Last, _Ty _Val)
	{	// return sum of _Val and all in [_First, _Last)
	_DEBUG_RANGE(_First, _Last);
	for (; _First != _Last; ++_First)
		_Val = _Val + *_First;
	return (_Val);
	}

		// TEMPLATE FUNCTION accumulate WITH BINOP
template<class _InIt,
	class _Ty,
	class _Fn2> inline
	_Ty accumulate(_InIt _First, _InIt _Last, _Ty _Val, _Fn2 _Func)
	{	// return sum of _Val and all in [_First, _Last), using _Func
	_DEBUG_RANGE(_First, _Last);
	_DEBUG_POINTER(_Func);
	for (; _First != _Last; ++_First)
		_Val = _Func(_Val, *_First);
	return (_Val);
	}

		// TEMPLATE FUNCTION inner_product
template<class _InIt1,
	class _InIt2,
	class _Ty> inline
	_Ty inner_product(_InIt1 _First1, _InIt1 _Last1, _InIt2 _First2, _Ty _Val)
	{	// return inner product of sequences
	_DEBUG_RANGE(_First1, _Last1);
	for (; _First1 != _Last1; ++_First1, ++_First2)
		_Val = _Val + *_First1 * *_First2;
	return (_Val);
	}

		// TEMPLATE FUNCTION inner_product WITH BINOPS
template<class _InIt1,
	class _InIt2,
	class _Ty,
	class _Fn21,
	class _Fn22> inline
	_Ty inner_product(_InIt1 _First1, _InIt1 _Last1, _InIt2 _First2, _Ty _Val,
		_Fn21 _Func1, _Fn22 _Func2)
	{	// return inner product of sequences, using _Func1 and _Func2
	_DEBUG_RANGE(_First1, _Last1);
	_DEBUG_POINTER(_Func1);
	_DEBUG_POINTER(_Func2);
	for (; _First1 != _Last1; ++_First1, ++_First2)
		_Val = _Func1(_Val, _Func2(*_First1, *_First2));
	return (_Val);
	}

		// TEMPLATE FUNCTION partial_sum
template<class _InIt,
	class _OutIt,
	class _Ty> inline
	_OutIt _Partial_sum(_InIt _First, _InIt _Last, _OutIt _Dest, _Ty *)
	{	// compute partial sums into _Dest
	_DEBUG_RANGE(_First, _Last);
	_DEBUG_POINTER(_Dest);
	_Ty _Val = *_First;
	for (*_Dest = _Val; ++_First != _Last; *++_Dest = _Val)
		_Val = _Val + *_First;
	return (++_Dest);
	}

template<class _InIt,
	class _OutIt> inline
	_OutIt partial_sum(_InIt _First, _InIt _Last, _OutIt _Dest)
	{	// compute partial sums into _Dest
	return (_First == _Last ? _Dest
		: _Partial_sum(_First, _Last, _Dest, _Val_type(_First)));
	}

		// TEMPLATE FUNCTION partial_sum WITH BINOP
template<class _InIt,
	class _OutIt,
	class _Fn2,
	class _Ty> inline
	_OutIt _Partial_sum(_InIt _First, _InIt _Last,
		_OutIt _Dest, _Fn2 _Func, _Ty *)
	{	// compute partial sums into _Dest, using _Func
	_DEBUG_RANGE(_First, _Last);
	_DEBUG_POINTER(_Dest);
	_DEBUG_POINTER(_Func);
	_Ty _Val = *_First;
	for (*_Dest = _Val; ++_First != _Last; *++_Dest = _Val)
		_Val = _Func(_Val, *_First);
	return (++_Dest);
	}

template<class _InIt,
	class _OutIt,
	class _Fn2> inline
	_OutIt partial_sum(_InIt _First, _InIt _Last,
		_OutIt _Dest, _Fn2 _Func)
	{	// compute partial sums into _Dest, using _Func
	return (_First == _Last ? _Dest
		: _Partial_sum(_First, _Last, _Dest, _Func, _Val_type(_First)));
	}

		// TEMPLATE FUNCTION adjacent_difference
template<class _InIt,
	class _OutIt,
	class _Ty> inline
	_OutIt _Adjacent_difference(_InIt _First, _InIt _Last,
		_OutIt _Dest, _Ty *)
	{	// compute adjacent differences into _Dest
	_DEBUG_RANGE(_First, _Last);
	_DEBUG_POINTER(_Dest);
	_Ty _Val = *_First;
	for (*_Dest = _Val; ++_First != _Last; )
		{	// compute another difference
		_Ty _Tmp = *_First;
		*++_Dest = _Tmp - _Val;
		_Val = _Tmp;
		}
	return (++_Dest);
	}

template<class _InIt,
	class _OutIt> inline
	_OutIt adjacent_difference(_InIt _First, _InIt _Last, _OutIt _Dest)
	{	// compute adjacent differences into _Dest
	return (_First == _Last ? _Dest
		: _Adjacent_difference(_First, _Last, _Dest, _Val_type(_First)));
	}

		// TEMPLATE FUNCTION adjacent_difference WITH BINOP
template<class _InIt,
	class _OutIt,
	class _Fn2,
	class _Ty> inline
	_OutIt _Adjacent_difference(_InIt _First, _InIt _Last,
		_OutIt _Dest, _Fn2 _Func, _Ty *)
	{	// compute adjacent differences into _Dest, using _Func
	_DEBUG_RANGE(_First, _Last);
	_DEBUG_POINTER(_Dest);
	_DEBUG_POINTER(_Func);
	_Ty _Val = *_First;
	for (*_Dest = _Val; ++_First != _Last; )
		{	// compute another difference
		_Ty _Tmp = *_First;
		*++_Dest = _Func(_Tmp, _Val);
		_Val = _Tmp;
		}
	return (++_Dest);
	}

template<class _InIt,
	class _OutIt,
	class _Fn2> inline
	_OutIt adjacent_difference(_InIt _First, _InIt _Last,
		_OutIt _Dest, _Fn2 _Func)
	{	// compute adjacent differences into _Dest, using _Func
	return (_First == _Last ? _Dest : _Adjacent_difference(_First, _Last,
		_Dest, _Func, _Val_type(_First)));
	}

 #if _HAS_TRADITIONAL_STL
template<class _FwdIt,
	class _Ty> inline
	void iota(_FwdIt _First, _FwdIt _Last, _Ty _Val)
	{	// compute increasing sequence into [_First, _Last)
	_DEBUG_RANGE(_First, _Last);
	for (; _First != _Last; ++_First, ++_Val)
		*_First = _Val;
	}
 #endif /* _HAS_TRADITIONAL_STL */

_STD_END
#endif /* _NUMERIC_ */

/*
 * Copyright (c) 1992-2004 by P.J. Plauger.  ALL RIGHTS RESERVED.
 * Consult your license regarding permissions and restrictions.
 */

/*
 * This file is derived from software bearing the following
 * restrictions:
 *
 * Copyright (c) 1994
 * Hewlett-Packard Company
 *
 * Permission to use, copy, modify, distribute and sell this
 * software and its documentation for any purpose is hereby
 * granted without fee, provided that the above copyright notice
 * appear in all copies and that both that copyright notice and
 * this permission notice appear in supporting documentation.
 * Hewlett-Packard Company makes no representations about the
 * suitability of this software for any purpose. It is provided
 * "as is" without express or implied warranty.
V4.02:1476 */