// -*- C++ -*-

// Copyright (C) 2005-2018 Free Software Foundation, Inc.
//
// This file is part of the GNU ISO C++ Library.  This library is free
// software; you can redistribute it and/or modify it under the terms
// of the GNU General Public License as published by the Free Software
// Foundation; either version 3, or (at your option) any later
// version.

// This library is distributed in the hope that it will be useful, but
// WITHOUT ANY WARRANTY; without even the implied warranty of
// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
// General Public License for more details.

// You should have received a copy of the GNU General Public License
// along with this library; see the file COPYING3.  If not see
// <http://www.gnu.org/licenses/>.


// Copyright (C) 2004 Ami Tavory and Vladimir Dreizin, IBM-HRL.

// Permission to use, copy, modify, sell, and distribute this software
// is hereby granted without fee, provided that the above copyright
// notice appears in all copies, and that both that copyright notice
// and this permission notice appear in supporting documentation. None
// of the above authors, nor IBM Haifa Research Laboratories, make any
// representation about the suitability of this software for any
// purpose. It is provided "as is" without express or implied
// warranty.

/**
 * @file sample_variance.hpp
 * Contains a function for calculating a sample variance
 */

#ifndef PB_DS_SAMPLE_VAR_HPP
#define PB_DS_SAMPLE_VAR_HPP

#include <list>
#include <numeric>
#include <math.h>
#include <iterator>

namespace __gnu_pbds
{
  namespace test
  {
    namespace detail
    {
#define PB_DS_VTYPE typename std::iterator_traits<It>::value_type

      template<typename It>
      PB_DS_VTYPE
      sample_variance(It b, It e, PB_DS_VTYPE sm)
      {
	PB_DS_VTYPE ss = 0;
	size_t num_res = 0;

	while (b != e)
	  {
	    const PB_DS_VTYPE d =* b - sm;
	    ss += d*  d;
	    ++num_res;
	    ++b;
	  }

	if (num_res == 1)
	  return 0;

	return ::sqrt(ss / (num_res - 1));
      }

#undef PB_DS_VTYPE

    } // namespace detail
  } // namespace test
} // namespace __gnu_pbds

#endif