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							226 lines
						
					
					
						
							8.7 KiB
						
					
					
				
								/* -*- c++ -*- (enables emacs c++ mode) */
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								/*===========================================================================
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								 Copyright (C) 2000-2012 Yves Renard
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								 This file is a part of GETFEM++
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								 Getfem++  is  free software;  you  can  redistribute  it  and/or modify it
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								 under  the  terms  of the  GNU  Lesser General Public License as published
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								 by  the  Free Software Foundation;  either version 3 of the License,  or
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								 (at your option) any later version along with the GCC Runtime Library
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								 Exception either version 3.1 or (at your option) any later version.
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								 This program  is  distributed  in  the  hope  that it will be useful,  but
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								 WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
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								 or  FITNESS  FOR  A PARTICULAR PURPOSE.  See the GNU Lesser General Public
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								 License and GCC Runtime Library Exception for more details.
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								 You  should  have received a copy of the GNU Lesser General Public License
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								 along  with  this program;  if not, write to the Free Software Foundation,
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								 Inc., 51 Franklin St, Fifth Floor, Boston, MA  02110-1301, USA.
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								 As a special exception, you  may use  this file  as it is a part of a free
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								 software  library  without  restriction.  Specifically,  if   other  files
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								 instantiate  templates  or  use macros or inline functions from this file,
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								 or  you compile this  file  and  link  it  with other files  to produce an
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								 executable, this file  does  not  by itself cause the resulting executable
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								 to be covered  by the GNU Lesser General Public License.  This   exception
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								 does not  however  invalidate  any  other  reasons why the executable file
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								 might be covered by the GNU Lesser General Public License.
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								===========================================================================*/
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								/** @file gmm_algobase.h 
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								   @author  Yves Renard <Yves.Renard@insa-lyon.fr>
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								   @date September 28, 2000.
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								    @brief Miscelleanous algorithms on containers.
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								*/
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								#ifndef GMM_ALGOBASE_H__
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								#define GMM_ALGOBASE_H__
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								#include "gmm_std.h"
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								#include "gmm_except.h"
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								#include <functional>
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								namespace gmm {
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								  /* ********************************************************************* */
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								  /* Definitition de classes de comparaison.                               */
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								  /* retournant un int.                                                    */
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								  /* ********************************************************************* */
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								  template <class T>
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								    struct less : public std::binary_function<T, T, int> {
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								    inline int operator()(const T& x, const T& y) const
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								    { return (x < y) ? -1 : ((y < x) ? 1 : 0); }
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								  };
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								  template<> struct less<int> : public std::binary_function<int, int, int>
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								  { int operator()(int x, int y) const { return x-y; } };
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								  template<> struct less<char> : public std::binary_function<char, char, int>
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								  { int operator()(char x, char y) const { return int(x-y); } };
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								  template<> struct less<short> : public std::binary_function<short,short,int>
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								  { int operator()(short x, short y) const { return int(x-y); } };
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								  template<> struct less<unsigned char>
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								     : public std::binary_function<unsigned char, unsigned char, int> {
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								    int operator()(unsigned char x, unsigned char y) const
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								    { return int(x)-int(y); }
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								  };
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								  template <class T>
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								    struct greater : public std::binary_function<T, T, int> {
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								    inline int operator()(const T& x, const T& y) const
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								    { return (y < x) ? -1 : ((x < y) ? 1 : 0); }
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								  };
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								  template<> struct greater<int> : public std::binary_function<int, int, int>
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								  { int operator()(int x, int y) const { return y-x; } };
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								  template<> struct greater<char> : public std::binary_function<char,char,int>
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								  { int operator()(char x, char y) const { return int(y-x); } };
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								  template<> struct greater<short>
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								      : public std::binary_function<short, short, int>
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								  { int operator()(short x, short y) const { return int(y-x); } };
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								  template<> struct greater<unsigned char>
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								    : public std::binary_function<unsigned char, unsigned char, int> {
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								    int operator()(unsigned char x, unsigned char y) const
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								      { return int(y)-int(x); }
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								  };
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								  template <typename T> inline T my_abs(T a) { return (a < T(0)) ? T(-a) : a; }
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								  template <class T>
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								    struct approx_less : public std::binary_function<T, T, int> { 
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								    double eps;
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								    inline int operator()(const T &x, const T &y) const
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								    { if (my_abs(x - y) <= eps) return 0; if (x < y) return -1; return 1; }
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								    approx_less(double e = 1E-13) { eps = e; }
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								  };
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								  template <class T>
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								    struct approx_greater : public std::binary_function<T, T, int> { 
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								    double eps;
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								    inline int operator()(const T &x, const T &y) const
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								    { if (my_abs(x - y) <= eps) return 0; if (x > y) return -1; return 1; }
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								    approx_greater(double e = 1E-13) { eps = e; }
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								  };
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								  template<class ITER1, class ITER2, class COMP>
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								    int lexicographical_compare(ITER1 b1, const ITER1 &e1,
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												ITER2 b2, const ITER2 &e2, const COMP &c)  {
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								    int i;
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								    for ( ; b1 != e1 && b2 != e2; ++b1, ++b2)
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								      if ((i = c(*b1, *b2)) != 0) return i;
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								    if (b1 != e1) return 1; if (b2 != e2) return -1; return 0; 
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								  }
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								  template<class CONT, class COMP = gmm::less<typename CONT::value_type> >
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								    struct lexicographical_less : public std::binary_function<CONT, CONT, int>
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								  { 
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								    COMP c;
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								    int operator()(const CONT &x, const CONT &y) const {
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								      return gmm::lexicographical_compare(x.begin(), x.end(),
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													  y.begin(), y.end(), c);
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								    }
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								    lexicographical_less(const COMP &d = COMP()) { c = d; }
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								  };
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								  template<class CONT, class COMP = gmm::less<typename CONT::value_type> >
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								  struct lexicographical_greater
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								    : public std::binary_function<CONT, CONT, int> { 
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								    COMP c;
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								    int operator()(const CONT &x, const CONT &y) const {
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								      return -gmm::lexicographical_compare(x.begin(), x.end(),
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													   y.begin(), y.end(), c);
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								    }
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								    lexicographical_greater(const COMP &d = COMP()) { c = d; }
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								  };
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								  /* ********************************************************************* */
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								  /* "Virtual" iterators on sequences.                                     */
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								  /* The class T represent a class of sequence.                            */
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								  /* ********************************************************************* */
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								  template<class T> struct sequence_iterator {
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								    typedef T             value_type;
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								    typedef value_type*   pointer;
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								    typedef value_type&   reference;
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								    typedef const value_type& const_reference;
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								    typedef std::forward_iterator_tag iterator_category;
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								    T Un;
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								    sequence_iterator(T U0 = T(0)) { Un = U0; }
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								    sequence_iterator &operator ++()
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								    { ++Un; return *this; }
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								    sequence_iterator operator ++(int)
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								    { sequence_iterator tmp = *this; (*this)++; return tmp; }
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								    const_reference operator *() const { return Un; }
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								    reference operator *() { return Un; }
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								    bool operator ==(const sequence_iterator &i) const { return (i.Un==Un);}
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								    bool operator !=(const sequence_iterator &i) const { return (i.Un!=Un);}
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								  };
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								  /* ********************************************************************* */
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								  /* generic algorithms.                                                   */
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								  /* ********************************************************************* */
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								  template <class ITER1, class SIZE, class ITER2>
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								  ITER2 copy_n(ITER1 first, SIZE count, ITER2 result) {
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								    for ( ; count > 0; --count, ++first, ++result) *result = *first;
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								    return result;
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								  }
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								  template<class ITER>
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								    typename std::iterator_traits<ITER>::value_type
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								      mean_value(ITER first, const ITER &last) {
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								    GMM_ASSERT2(first != last, "mean value of empty container");
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								    size_t n = 1;
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								    typename std::iterator_traits<ITER>::value_type res = *first++;
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								    while (first != last) { res += *first; ++first; ++n; }
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								    res /= float(n);
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								    return res;
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								  }
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								  template<class CONT>
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								    typename CONT::value_type
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								  mean_value(const CONT &c) { return mean_value(c.begin(), c.end()); }
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								  template<class ITER> /* hum ... */
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								    void minmax_box(typename std::iterator_traits<ITER>::value_type &pmin,
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										    typename std::iterator_traits<ITER>::value_type &pmax,
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										    ITER first, const ITER &last) {
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								    typedef typename std::iterator_traits<ITER>::value_type PT;
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								    if (first != last) { pmin = pmax = *first; ++first; }
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								    while (first != last) {
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								      typename PT::const_iterator b = (*first).begin(), e = (*first).end();
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								      typename PT::iterator b1 = pmin.begin(), b2 = pmax.begin();
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								      while (b != e)
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									{ *b1 = std::min(*b1, *b); *b2 = std::max(*b2, *b); ++b; ++b1; ++b2; }
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								    }
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								  }
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								  template<typename VEC> struct sorted_indexes_aux {
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								    const VEC &v;
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								  public:
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								    sorted_indexes_aux(const VEC& v_) : v(v_) {}
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								    template <typename IDX>
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								    bool operator()(const IDX &ia, const IDX &ib) const
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								    { return v[ia] < v[ib]; }
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								  };
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								  template<typename VEC, typename IVEC> 
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								  void sorted_indexes(const VEC &v, IVEC &iv) {
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								    iv.clear(); iv.resize(v.size());
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								    for (size_t i=0; i < v.size(); ++i) iv[i] = i;
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								    std::sort(iv.begin(), iv.end(), sorted_indexes_aux<VEC>(v));
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								  }
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								}
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								#endif /* GMM_ALGOBASE_H__ */
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