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@@ -70,172 +70,161 @@ |
70 | 70 |
/// |
71 | 71 |
/// Each item has a state associated to it. It can be "in heap", |
72 | 72 |
/// "pre-heap" or "post-heap". The latter two are indifferent from the |
73 | 73 |
/// heap's point of view, but may be useful to the user. |
74 | 74 |
/// |
75 | 75 |
/// The item-int map must be initialized in such way that it assigns |
76 | 76 |
/// \c PRE_HEAP (<tt>-1</tt>) to any element to be put in the heap. |
77 | 77 |
enum State { |
78 | 78 |
IN_HEAP = 0, ///< = 0. |
79 | 79 |
PRE_HEAP = -1, ///< = -1. |
80 | 80 |
POST_HEAP = -2 ///< = -2. |
81 | 81 |
}; |
82 | 82 |
|
83 | 83 |
private: |
84 | 84 |
std::vector<Pair> _data; |
85 | 85 |
Compare _comp; |
86 | 86 |
ItemIntMap &_iim; |
87 | 87 |
|
88 | 88 |
public: |
89 | 89 |
/// \brief Constructor. |
90 | 90 |
/// |
91 | 91 |
/// Constructor. |
92 | 92 |
/// \param map A map that assigns \c int values to the items. |
93 | 93 |
/// It is used internally to handle the cross references. |
94 | 94 |
/// The assigned value must be \c PRE_HEAP (<tt>-1</tt>) for each item. |
95 | 95 |
explicit FouraryHeap(ItemIntMap &map) : _iim(map) {} |
96 | 96 |
|
97 | 97 |
/// \brief Constructor. |
98 | 98 |
/// |
99 | 99 |
/// Constructor. |
100 | 100 |
/// \param map A map that assigns \c int values to the items. |
101 | 101 |
/// It is used internally to handle the cross references. |
102 | 102 |
/// The assigned value must be \c PRE_HEAP (<tt>-1</tt>) for each item. |
103 | 103 |
/// \param comp The function object used for comparing the priorities. |
104 | 104 |
FouraryHeap(ItemIntMap &map, const Compare &comp) |
105 | 105 |
: _iim(map), _comp(comp) {} |
106 | 106 |
|
107 | 107 |
/// \brief The number of items stored in the heap. |
108 | 108 |
/// |
109 | 109 |
/// This function returns the number of items stored in the heap. |
110 | 110 |
int size() const { return _data.size(); } |
111 | 111 |
|
112 | 112 |
/// \brief Check if the heap is empty. |
113 | 113 |
/// |
114 | 114 |
/// This function returns \c true if the heap is empty. |
115 | 115 |
bool empty() const { return _data.empty(); } |
116 | 116 |
|
117 | 117 |
/// \brief Make the heap empty. |
118 | 118 |
/// |
119 | 119 |
/// This functon makes the heap empty. |
120 | 120 |
/// It does not change the cross reference map. If you want to reuse |
121 | 121 |
/// a heap that is not surely empty, you should first clear it and |
122 | 122 |
/// then you should set the cross reference map to \c PRE_HEAP |
123 | 123 |
/// for each item. |
124 | 124 |
void clear() { _data.clear(); } |
125 | 125 |
|
126 | 126 |
private: |
127 | 127 |
static int parent(int i) { return (i-1)/4; } |
128 | 128 |
static int firstChild(int i) { return 4*i+1; } |
129 | 129 |
|
130 | 130 |
bool less(const Pair &p1, const Pair &p2) const { |
131 | 131 |
return _comp(p1.second, p2.second); |
132 | 132 |
} |
133 | 133 |
|
134 |
int findMin(const int child, const int length) { |
|
135 |
int min=child; |
|
136 |
if( child+3<length ) { |
|
137 |
if( less(_data[child+3], _data[min]) ) |
|
138 |
min=child+3; |
|
139 |
if( less(_data[child+2], _data[min]) ) |
|
140 |
min=child+2; |
|
141 |
if( less(_data[child+1], _data[min]) ) |
|
142 |
min=child+1; |
|
143 |
} |
|
144 |
else if( child+2<length ) { |
|
145 |
if( less(_data[child+2], _data[min]) ) |
|
146 |
min=child+2; |
|
147 |
if( less(_data[child+1], _data[min]) ) |
|
148 |
min=child+1; |
|
149 |
} |
|
150 |
else if( child+1<length ) { |
|
151 |
if( less(_data[child+1], _data[min]) ) |
|
152 |
min=child+1; |
|
153 |
} |
|
154 |
return min; |
|
155 |
} |
|
156 |
|
|
157 | 134 |
void bubbleUp(int hole, Pair p) { |
158 | 135 |
int par = parent(hole); |
159 | 136 |
while( hole>0 && less(p,_data[par]) ) { |
160 | 137 |
move(_data[par],hole); |
161 | 138 |
hole = par; |
162 | 139 |
par = parent(hole); |
163 | 140 |
} |
164 | 141 |
move(p, hole); |
165 | 142 |
} |
166 | 143 |
|
167 | 144 |
void bubbleDown(int hole, Pair p, int length) { |
168 | 145 |
if( length>1 ) { |
169 | 146 |
int child = firstChild(hole); |
170 |
while( child<length ) { |
|
171 |
child = findMin(child, length); |
|
172 |
|
|
147 |
while( child+3<length ) { |
|
148 |
int min=child; |
|
149 |
if( less(_data[++child], _data[min]) ) min=child; |
|
150 |
if( less(_data[++child], _data[min]) ) min=child; |
|
151 |
if( less(_data[++child], _data[min]) ) min=child; |
|
152 |
if( !less(_data[min], p) ) |
|
173 | 153 |
goto ok; |
174 |
move(_data[child], hole); |
|
175 |
hole = child; |
|
154 |
move(_data[min], hole); |
|
155 |
hole = min; |
|
176 | 156 |
child = firstChild(hole); |
177 | 157 |
} |
158 |
if ( child<length ) { |
|
159 |
int min = child; |
|
160 |
if( ++child<length && less(_data[child], _data[min]) ) min=child; |
|
161 |
if( ++child<length && less(_data[child], _data[min]) ) min=child; |
|
162 |
if( less(_data[min], p) ) { |
|
163 |
move(_data[min], hole); |
|
164 |
hole = min; |
|
165 |
} |
|
166 |
} |
|
178 | 167 |
} |
179 | 168 |
ok: |
180 | 169 |
move(p, hole); |
181 | 170 |
} |
182 | 171 |
|
183 | 172 |
void move(const Pair &p, int i) { |
184 | 173 |
_data[i] = p; |
185 | 174 |
_iim.set(p.first, i); |
186 | 175 |
} |
187 | 176 |
|
188 | 177 |
public: |
189 | 178 |
/// \brief Insert a pair of item and priority into the heap. |
190 | 179 |
/// |
191 | 180 |
/// This function inserts \c p.first to the heap with priority |
192 | 181 |
/// \c p.second. |
193 | 182 |
/// \param p The pair to insert. |
194 | 183 |
/// \pre \c p.first must not be stored in the heap. |
195 | 184 |
void push(const Pair &p) { |
196 | 185 |
int n = _data.size(); |
197 | 186 |
_data.resize(n+1); |
198 | 187 |
bubbleUp(n, p); |
199 | 188 |
} |
200 | 189 |
|
201 | 190 |
/// \brief Insert an item into the heap with the given priority. |
202 | 191 |
/// |
203 | 192 |
/// This function inserts the given item into the heap with the |
204 | 193 |
/// given priority. |
205 | 194 |
/// \param i The item to insert. |
206 | 195 |
/// \param p The priority of the item. |
207 | 196 |
/// \pre \e i must not be stored in the heap. |
208 | 197 |
void push(const Item &i, const Prio &p) { push(Pair(i,p)); } |
209 | 198 |
|
210 | 199 |
/// \brief Return the item having minimum priority. |
211 | 200 |
/// |
212 | 201 |
/// This function returns the item having minimum priority. |
213 | 202 |
/// \pre The heap must be non-empty. |
214 | 203 |
Item top() const { return _data[0].first; } |
215 | 204 |
|
216 | 205 |
/// \brief The minimum priority. |
217 | 206 |
/// |
218 | 207 |
/// This function returns the minimum priority. |
219 | 208 |
/// \pre The heap must be non-empty. |
220 | 209 |
Prio prio() const { return _data[0].second; } |
221 | 210 |
|
222 | 211 |
/// \brief Remove the item having minimum priority. |
223 | 212 |
/// |
224 | 213 |
/// This function removes the item having minimum priority. |
225 | 214 |
/// \pre The heap must be non-empty. |
226 | 215 |
void pop() { |
227 | 216 |
int n = _data.size()-1; |
228 | 217 |
_iim.set(_data[0].first, POST_HEAP); |
229 | 218 |
if (n>0) bubbleDown(0, _data[n], n); |
230 | 219 |
_data.pop_back(); |
231 | 220 |
} |
232 | 221 |
|
233 | 222 |
/// \brief Remove the given item from the heap. |
234 | 223 |
/// |
235 | 224 |
/// This function removes the given item from the heap if it is |
236 | 225 |
/// already stored. |
237 | 226 |
/// \param i The item to delete. |
238 | 227 |
/// \pre \e i must be in the heap. |
239 | 228 |
void erase(const Item &i) { |
240 | 229 |
int h = _iim[i]; |
241 | 230 |
int n = _data.size()-1; |
... | ... |
@@ -77,159 +77,164 @@ |
77 | 77 |
/// |
78 | 78 |
/// Each item has a state associated to it. It can be "in heap", |
79 | 79 |
/// "pre-heap" or "post-heap". The latter two are indifferent from the |
80 | 80 |
/// heap's point of view, but may be useful to the user. |
81 | 81 |
/// |
82 | 82 |
/// The item-int map must be initialized in such way that it assigns |
83 | 83 |
/// \c PRE_HEAP (<tt>-1</tt>) to any element to be put in the heap. |
84 | 84 |
enum State { |
85 | 85 |
IN_HEAP = 0, ///< = 0. |
86 | 86 |
PRE_HEAP = -1, ///< = -1. |
87 | 87 |
POST_HEAP = -2 ///< = -2. |
88 | 88 |
}; |
89 | 89 |
|
90 | 90 |
private: |
91 | 91 |
std::vector<Pair> _data; |
92 | 92 |
Compare _comp; |
93 | 93 |
ItemIntMap &_iim; |
94 | 94 |
|
95 | 95 |
public: |
96 | 96 |
/// \brief Constructor. |
97 | 97 |
/// |
98 | 98 |
/// Constructor. |
99 | 99 |
/// \param map A map that assigns \c int values to the items. |
100 | 100 |
/// It is used internally to handle the cross references. |
101 | 101 |
/// The assigned value must be \c PRE_HEAP (<tt>-1</tt>) for each item. |
102 | 102 |
explicit KaryHeap(ItemIntMap &map) : _iim(map) {} |
103 | 103 |
|
104 | 104 |
/// \brief Constructor. |
105 | 105 |
/// |
106 | 106 |
/// Constructor. |
107 | 107 |
/// \param map A map that assigns \c int values to the items. |
108 | 108 |
/// It is used internally to handle the cross references. |
109 | 109 |
/// The assigned value must be \c PRE_HEAP (<tt>-1</tt>) for each item. |
110 | 110 |
/// \param comp The function object used for comparing the priorities. |
111 | 111 |
KaryHeap(ItemIntMap &map, const Compare &comp) |
112 | 112 |
: _iim(map), _comp(comp) {} |
113 | 113 |
|
114 | 114 |
/// \brief The number of items stored in the heap. |
115 | 115 |
/// |
116 | 116 |
/// This function returns the number of items stored in the heap. |
117 | 117 |
int size() const { return _data.size(); } |
118 | 118 |
|
119 | 119 |
/// \brief Check if the heap is empty. |
120 | 120 |
/// |
121 | 121 |
/// This function returns \c true if the heap is empty. |
122 | 122 |
bool empty() const { return _data.empty(); } |
123 | 123 |
|
124 | 124 |
/// \brief Make the heap empty. |
125 | 125 |
/// |
126 | 126 |
/// This functon makes the heap empty. |
127 | 127 |
/// It does not change the cross reference map. If you want to reuse |
128 | 128 |
/// a heap that is not surely empty, you should first clear it and |
129 | 129 |
/// then you should set the cross reference map to \c PRE_HEAP |
130 | 130 |
/// for each item. |
131 | 131 |
void clear() { _data.clear(); } |
132 | 132 |
|
133 | 133 |
private: |
134 | 134 |
int parent(int i) { return (i-1)/K; } |
135 | 135 |
int firstChild(int i) { return K*i+1; } |
136 | 136 |
|
137 | 137 |
bool less(const Pair &p1, const Pair &p2) const { |
138 | 138 |
return _comp(p1.second, p2.second); |
139 | 139 |
} |
140 | 140 |
|
141 |
int findMin(const int child, const int length) { |
|
142 |
int min=child, i=1; |
|
143 |
while( i<K && child+i<length ) { |
|
144 |
if( less(_data[child+i], _data[min]) ) |
|
145 |
min=child+i; |
|
146 |
++i; |
|
147 |
} |
|
148 |
return min; |
|
149 |
} |
|
150 |
|
|
151 | 141 |
void bubbleUp(int hole, Pair p) { |
152 | 142 |
int par = parent(hole); |
153 | 143 |
while( hole>0 && less(p,_data[par]) ) { |
154 | 144 |
move(_data[par],hole); |
155 | 145 |
hole = par; |
156 | 146 |
par = parent(hole); |
157 | 147 |
} |
158 | 148 |
move(p, hole); |
159 | 149 |
} |
160 | 150 |
|
161 | 151 |
void bubbleDown(int hole, Pair p, int length) { |
162 | 152 |
if( length>1 ) { |
163 | 153 |
int child = firstChild(hole); |
164 |
while( child<length ) { |
|
165 |
child = findMin(child, length); |
|
166 |
|
|
154 |
while( child+K<=length ) { |
|
155 |
int min=child; |
|
156 |
for (int i=1; i<K; ++i) { |
|
157 |
if( less(_data[child+i], _data[min]) ) |
|
158 |
min=child+i; |
|
159 |
} |
|
160 |
if( !less(_data[min], p) ) |
|
167 | 161 |
goto ok; |
168 |
move(_data[child], hole); |
|
169 |
hole = child; |
|
162 |
move(_data[min], hole); |
|
163 |
hole = min; |
|
170 | 164 |
child = firstChild(hole); |
171 | 165 |
} |
166 |
if ( child<length ) { |
|
167 |
int min = child; |
|
168 |
while (++child < length) { |
|
169 |
if( less(_data[child], _data[min]) ) |
|
170 |
min=child; |
|
171 |
} |
|
172 |
if( less(_data[min], p) ) { |
|
173 |
move(_data[min], hole); |
|
174 |
hole = min; |
|
175 |
} |
|
176 |
} |
|
172 | 177 |
} |
173 | 178 |
ok: |
174 | 179 |
move(p, hole); |
175 | 180 |
} |
176 | 181 |
|
177 | 182 |
void move(const Pair &p, int i) { |
178 | 183 |
_data[i] = p; |
179 | 184 |
_iim.set(p.first, i); |
180 | 185 |
} |
181 | 186 |
|
182 | 187 |
public: |
183 | 188 |
/// \brief Insert a pair of item and priority into the heap. |
184 | 189 |
/// |
185 | 190 |
/// This function inserts \c p.first to the heap with priority |
186 | 191 |
/// \c p.second. |
187 | 192 |
/// \param p The pair to insert. |
188 | 193 |
/// \pre \c p.first must not be stored in the heap. |
189 | 194 |
void push(const Pair &p) { |
190 | 195 |
int n = _data.size(); |
191 | 196 |
_data.resize(n+1); |
192 | 197 |
bubbleUp(n, p); |
193 | 198 |
} |
194 | 199 |
|
195 | 200 |
/// \brief Insert an item into the heap with the given priority. |
196 | 201 |
/// |
197 | 202 |
/// This function inserts the given item into the heap with the |
198 | 203 |
/// given priority. |
199 | 204 |
/// \param i The item to insert. |
200 | 205 |
/// \param p The priority of the item. |
201 | 206 |
/// \pre \e i must not be stored in the heap. |
202 | 207 |
void push(const Item &i, const Prio &p) { push(Pair(i,p)); } |
203 | 208 |
|
204 | 209 |
/// \brief Return the item having minimum priority. |
205 | 210 |
/// |
206 | 211 |
/// This function returns the item having minimum priority. |
207 | 212 |
/// \pre The heap must be non-empty. |
208 | 213 |
Item top() const { return _data[0].first; } |
209 | 214 |
|
210 | 215 |
/// \brief The minimum priority. |
211 | 216 |
/// |
212 | 217 |
/// This function returns the minimum priority. |
213 | 218 |
/// \pre The heap must be non-empty. |
214 | 219 |
Prio prio() const { return _data[0].second; } |
215 | 220 |
|
216 | 221 |
/// \brief Remove the item having minimum priority. |
217 | 222 |
/// |
218 | 223 |
/// This function removes the item having minimum priority. |
219 | 224 |
/// \pre The heap must be non-empty. |
220 | 225 |
void pop() { |
221 | 226 |
int n = _data.size()-1; |
222 | 227 |
_iim.set(_data[0].first, POST_HEAP); |
223 | 228 |
if (n>0) bubbleDown(0, _data[n], n); |
224 | 229 |
_data.pop_back(); |
225 | 230 |
} |
226 | 231 |
|
227 | 232 |
/// \brief Remove the given item from the heap. |
228 | 233 |
/// |
229 | 234 |
/// This function removes the given item from the heap if it is |
230 | 235 |
/// already stored. |
231 | 236 |
/// \param i The item to delete. |
232 | 237 |
/// \pre \e i must be in the heap. |
233 | 238 |
void erase(const Item &i) { |
234 | 239 |
int h = _iim[i]; |
235 | 240 |
int n = _data.size()-1; |
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