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Java-2/DataStructures/Heaps/MaxHeap.java at master · yyfullstack/Java-2 · GitHub
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DataStructures
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Heaps
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MaxHeap.java
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Java-2
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DataStructures
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Heaps
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MaxHeap.java
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package
DataStructures
.
Heaps
;
import
java
.
util
.
ArrayList
;
import
java
.
util
.
List
;
/**
* Heap tree where a node's key is higher than or equal to its parent's and lower than or equal
* to its children's.
*
* @author Nicolas Renard
*/
public
class
MaxHeap
implements
Heap
{
private
final
List
<
HeapElement
>
maxHeap
;
public
MaxHeap
(
List
<
HeapElement
>
listElements
) {
maxHeap
=
new
ArrayList
<>();
for
(
HeapElement
heapElement
:
listElements
) {
if
(
heapElement
!=
null
)
insertElement
(
heapElement
);
else
System
.
out
.
println
(
"Null element. Not added to heap"
);
}
if
(
maxHeap
.
size
() ==
0
)
System
.
out
.
println
(
"No element has been added, empty heap."
);
}
/**
* Get the element at a given index. The key for the list is equal to index value - 1
*
* @param elementIndex index
* @return heapElement
*/
public
HeapElement
getElement
(
int
elementIndex
) {
if
((
elementIndex
<=
0
) || (
elementIndex
>
maxHeap
.
size
()))
throw
new
IndexOutOfBoundsException
(
"Index out of heap range"
);
return
maxHeap
.
get
(
elementIndex
-
1
);
}
// Get the key of the element at a given index
private
double
getElementKey
(
int
elementIndex
) {
return
maxHeap
.
get
(
elementIndex
-
1
).
getKey
();
}
// Swaps two elements in the heap
private
void
swap
(
int
index1
,
int
index2
) {
HeapElement
temporaryElement
=
maxHeap
.
get
(
index1
-
1
);
maxHeap
.
set
(
index1
-
1
,
maxHeap
.
get
(
index2
-
1
));
maxHeap
.
set
(
index2
-
1
,
temporaryElement
);
}
// Toggle an element up to its right place as long as its key is lower than its parent's
private
void
toggleUp
(
int
elementIndex
) {
double
key
=
maxHeap
.
get
(
elementIndex
-
1
).
getKey
();
while
(
getElementKey
((
int
)
Math
.
floor
(
elementIndex
/
2
)) <
key
) {
swap
(
elementIndex
, (
int
)
Math
.
floor
(
elementIndex
/
2
));
elementIndex
= (
int
)
Math
.
floor
(
elementIndex
/
2
);
}
}
// Toggle an element down to its right place as long as its key is higher
// than any of its children's
private
void
toggleDown
(
int
elementIndex
) {
double
key
=
maxHeap
.
get
(
elementIndex
-
1
).
getKey
();
boolean
wrongOrder
= (
key
<
getElementKey
(
elementIndex
*
2
)) || (
key
<
getElementKey
(
Math
.
min
(
elementIndex
*
2
,
maxHeap
.
size
())));
while
((
2
*
elementIndex
<=
maxHeap
.
size
()) &&
wrongOrder
) {
// Check whether it shall swap the element with its left child or its right one if any.
if
((
2
*
elementIndex
<
maxHeap
.
size
()) && (
getElementKey
(
elementIndex
*
2
+
1
) >
getElementKey
(
elementIndex
*
2
))) {
swap
(
elementIndex
,
2
*
elementIndex
+
1
);
elementIndex
=
2
*
elementIndex
+
1
;
}
else
{
swap
(
elementIndex
,
2
*
elementIndex
);
elementIndex
=
2
*
elementIndex
;
}
wrongOrder
= (
key
<
getElementKey
(
elementIndex
*
2
)) || (
key
<
getElementKey
(
Math
.
min
(
elementIndex
*
2
,
maxHeap
.
size
())));
}
}
private
HeapElement
extractMax
() {
HeapElement
result
=
maxHeap
.
get
(
0
);
deleteElement
(
0
);
return
result
;
}
@
Override
public
void
insertElement
(
HeapElement
element
) {
maxHeap
.
add
(
element
);
toggleUp
(
maxHeap
.
size
());
}
@
Override
public
void
deleteElement
(
int
elementIndex
) {
if
(
maxHeap
.
isEmpty
())
try
{
throw
new
EmptyHeapException
(
"Attempt to delete an element from an empty heap"
);
}
catch
(
EmptyHeapException
e
) {
e
.
printStackTrace
();
}
if
((
elementIndex
>
maxHeap
.
size
()) || (
elementIndex
<=
0
))
throw
new
IndexOutOfBoundsException
(
"Index out of heap range"
);
// The last element in heap replaces the one to be deleted
maxHeap
.
set
(
elementIndex
-
1
,
getElement
(
maxHeap
.
size
()));
maxHeap
.
remove
(
maxHeap
.
size
());
// Shall the new element be moved up...
if
(
getElementKey
(
elementIndex
) >
getElementKey
((
int
)
Math
.
floor
(
elementIndex
/
2
)))
toggleUp
(
elementIndex
);
// ... or down ?
else
if
(((
2
*
elementIndex
<=
maxHeap
.
size
()) && (
getElementKey
(
elementIndex
) <
getElementKey
(
elementIndex
*
2
))) ||
((
2
*
elementIndex
<
maxHeap
.
size
()) && (
getElementKey
(
elementIndex
) <
getElementKey
(
elementIndex
*
2
))))
toggleDown
(
elementIndex
);
}
@
Override
public
HeapElement
getElement
()
throws
EmptyHeapException
{
try
{
return
extractMax
();
}
catch
(
Exception
e
) {
throw
new
EmptyHeapException
(
"Heap is empty. Error retrieving element"
);
}
}
}
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