GetFEM  5.4.4
gmm_algobase.h
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1 /* -*- c++ -*- (enables emacs c++ mode) */
2 /*===========================================================================
3 
4  Copyright (C) 2000-2020 Yves Renard
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30 ===========================================================================*/
31 
32 /** @file gmm_algobase.h
33  @author Yves Renard <[email protected]>
34  @date September 28, 2000.
35  @brief Miscelleanous algorithms on containers.
36 */
37 
38 #ifndef GMM_ALGOBASE_H__
39 #define GMM_ALGOBASE_H__
40 #include "gmm_std.h"
41 #include "gmm_except.h"
42 #include <functional>
43 
44 namespace gmm {
45 
46  /* ********************************************************************* */
47  /* Definitition de classes de comparaison. */
48  /* retournant un int. */
49  /* ********************************************************************* */
50 
51  template <class T>
52  struct less {
53  inline int operator()(const T& x, const T& y) const
54  { return (x < y) ? -1 : ((y < x) ? 1 : 0); }
55  };
56 
57  template<> struct less<int> {
58  int operator()(int x, int y) const { return x-y; } };
59  template<> struct less<char> {
60  int operator()(char x, char y) const { return int(x-y); } };
61  template<> struct less<short> {
62  int operator()(short x, short y) const { return int(x-y); } };
63  template<> struct less<unsigned char> {
64  int operator()(unsigned char x, unsigned char y) const
65  { return int(x)-int(y); }
66  };
67 
68 
69  template <class T>
70  struct greater {
71  inline int operator()(const T& x, const T& y) const
72  { return (y < x) ? -1 : ((x < y) ? 1 : 0); }
73  };
74 
75  template<> struct greater<int> {
76  int operator()(int x, int y) const { return y-x; } };
77  template<> struct greater<char> {
78  int operator()(char x, char y) const { return int(y-x); } };
79  template<> struct greater<short> {
80  int operator()(short x, short y) const { return int(y-x); } };
81  template<> struct greater<unsigned char> {
82  int operator()(unsigned char x, unsigned char y) const
83  { return int(y)-int(x); }
84  };
85 
86  template <typename T> inline T my_abs(T a) { return (a < T(0)) ? T(-a) : a; }
87 
88  template <class T>
89  struct approx_less {
90  double eps;
91  inline int operator()(const T &x, const T &y) const
92  { if (my_abs(x - y) <= eps) return 0; if (x < y) return -1; return 1; }
93  approx_less(double e = 1E-13) { eps = e; }
94  };
95 
96  template <class T>
97  struct approx_greater {
98  double eps;
99  inline int operator()(const T &x, const T &y) const
100  { if (my_abs(x - y) <= eps) return 0; if (x > y) return -1; return 1; }
101  approx_greater(double e = 1E-13) { eps = e; }
102  };
103 
104  template<class ITER1, class ITER2, class COMP>
105  int lexicographical_compare(ITER1 b1, const ITER1 &e1,
106  ITER2 b2, const ITER2 &e2, const COMP &c) {
107  int i;
108  for ( ; b1 != e1 && b2 != e2; ++b1, ++b2)
109  if ((i = c(*b1, *b2)) != 0) return i;
110  if (b1 != e1) return 1;
111  if (b2 != e2) return -1;
112  return 0;
113  }
114 
115  template<class CONT, class COMP = gmm::less<typename CONT::value_type> >
116  struct lexicographical_less {
117  COMP c;
118  int operator()(const CONT &x, const CONT &y) const {
119  return gmm::lexicographical_compare(x.begin(), x.end(),
120  y.begin(), y.end(), c);
121  }
122  lexicographical_less(const COMP &d = COMP()) { c = d; }
123  };
124 
125  template<class CONT, class COMP = gmm::less<typename CONT::value_type> >
126  struct lexicographical_greater {
127  COMP c;
128  int operator()(const CONT &x, const CONT &y) const {
129  return -gmm::lexicographical_compare(x.begin(), x.end(),
130  y.begin(), y.end(), c);
131  }
132  lexicographical_greater(const COMP &d = COMP()) { c = d; }
133  };
134 
135 
136  /* ********************************************************************* */
137  /* "Virtual" iterators on sequences. */
138  /* The class T represent a class of sequence. */
139  /* ********************************************************************* */
140 
141  template<class T> struct sequence_iterator {
142 
143  typedef T value_type;
144  typedef value_type* pointer;
145  typedef value_type& reference;
146  typedef const value_type& const_reference;
147  typedef std::forward_iterator_tag iterator_category;
148 
149  T Un;
150 
151  sequence_iterator(T U0 = T(0)) { Un = U0; }
152 
153  sequence_iterator &operator ++()
154  { ++Un; return *this; }
155  sequence_iterator operator ++(int)
156  { sequence_iterator tmp = *this; (*this)++; return tmp; }
157 
158  const_reference operator *() const { return Un; }
159  reference operator *() { return Un; }
160 
161  bool operator ==(const sequence_iterator &i) const { return (i.Un==Un);}
162  bool operator !=(const sequence_iterator &i) const { return (i.Un!=Un);}
163  };
164 
165  /* ********************************************************************* */
166  /* generic algorithms. */
167  /* ********************************************************************* */
168 
169  template <class ITER1, class SIZE, class ITER2>
170  ITER2 copy_n(ITER1 first, SIZE count, ITER2 result) {
171  for ( ; count > 0; --count, ++first, ++result) *result = *first;
172  return result;
173  }
174 
175  template<class ITER>
176  typename std::iterator_traits<ITER>::value_type
177  mean_value(ITER first, const ITER &last) {
178  GMM_ASSERT2(first != last, "mean value of empty container");
179  size_t n = 1;
180  typename std::iterator_traits<ITER>::value_type res = *first++;
181  while (first != last) { res += *first; ++first; ++n; }
182  res /= float(n);
183  return res;
184  }
185 
186  template<class CONT>
187  typename CONT::value_type
188  mean_value(const CONT &c) { return mean_value(c.begin(), c.end()); }
189 
190  template<class ITER> /* hum ... */
191  void minmax_box(typename std::iterator_traits<ITER>::value_type &pmin,
192  typename std::iterator_traits<ITER>::value_type &pmax,
193  ITER first, const ITER &last) {
194  typedef typename std::iterator_traits<ITER>::value_type PT;
195  if (first != last) { pmin = pmax = *first; ++first; }
196  while (first != last) {
197  typename PT::const_iterator b = (*first).begin(), e = (*first).end();
198  typename PT::iterator b1 = pmin.begin(), b2 = pmax.begin();
199  while (b != e)
200  { *b1 = std::min(*b1, *b); *b2 = std::max(*b2, *b); ++b; ++b1; ++b2; }
201  }
202  }
203 
204  template<typename VEC> struct sorted_indexes_aux {
205  const VEC &v;
206  public:
207  sorted_indexes_aux(const VEC& v_) : v(v_) {}
208  template <typename IDX>
209  bool operator()(const IDX &ia, const IDX &ib) const
210  { return v[ia] < v[ib]; }
211  };
212 
213  template<typename VEC, typename IVEC>
214  void sorted_indexes(const VEC &v, IVEC &iv) {
215  iv.clear(); iv.resize(v.size());
216  for (size_t i=0; i < v.size(); ++i) iv[i] = i;
217  std::sort(iv.begin(), iv.end(), sorted_indexes_aux<VEC>(v));
218  }
219 
220 }
221 
222 
223 #endif /* GMM_ALGOBASE_H__ */
gmm_except.h
Definition of basic exceptions.
gmm_std.h
basic setup for gmm (includes, typedefs etc.)