Implement binary heap in c++?, C/C++ Programming

A:BinaryHeap.h

------------

#ifndef BINARY_HEAP_H_

#define BINARY_HEAP_H_

#include "dsexceptions.h"

#include "vector.h"

// BinaryHeap class

// CONSTRUCTION: with an optional capacity (that defaults to 100)

// *********PUBLIC OPERATIONS**************

// void insert( x ) --> Insert x

// deleteMin( minItem ) --> Remove (and optionally return) smallest item

// Comparable findMin( ) --> Return smallest item

// bool isEmpty( ) --> if empty, Return true; else false

// bool isFull( ) --> if full , Return true; else false

// void makeEmpty( ) --> Eliminate all items

// ***********ERRORS*************

// Throws Underflow & Overflow as necessary

template

class BinaryHeap

{

public:

explicit BinaryHeap( int capacity = 100 );

bool isEmpty( ) const;

bool isFull( ) const;

const Comparable & findMin( ) const;

void insert( const Comparable & x );

void deleteMin( );

void deleteMin( Comparable & minItem );

void makeEmpty( );

private:

int currentSize; // Number of elements in heap vector array; // The heap array

void buildHeap( );

void percolateDown( int hole );

};

#endif

 

BinaryHeap.cpp

--------------

#include "BinaryHeap.h"

/**

* Construct the binary heap.

* Capacity means capacity of binary heap.

*/

template

BinaryHeap::BinaryHeap( int capacity )

: array( capacity + 1 ), currentSize( 0 )

{

}

 

/**

* Insert item x in the priority queue, maintaining heap order.

* Duplicates are allowed.

* Throw Overflow if container is full.

*/

template

void BinaryHeap::insert( const Comparable & x )

{

if( isFull( ) )

throw Overflow( );

// Percolate up

int hole = ++currentSize;

for( ; hole > 1 && x < array[ hole / 2 ]; hole /= 2 )

array[ hole ] = array[ hole / 2 ];

array[ hole ] = x;

}

/**

* Determine the smallest item in the priority queue.

* Return the smallest item, or if empty , throw Underflow.

*/

template

const Comparable & BinaryHeap::findMin( ) const

{

if( isEmpty( ) ) throw Underflow( ); return array[ 1 ];

}

/**

* From priority queue remove smallest item.

* Throw Underflow if empty.

*/

template

void BinaryHeap::deleteMin( )

{

if( isEmpty( ) )

throw Underflow( );

array[ 1 ] = array[ currentSize-- ];

percolateDown( 1 );

}

 

/**

* From the priority queue eliminate the smallest item

* and place it in minItem. Throw Underflow if empty.

*/

template

void BinaryHeap::deleteMin( Comparable & minItem )

{

if( isEmpty( ) )

throw Underflow( );

minItem = array[ 1 ];

array[ 1 ] = array[ currentSize-- ];

percolateDown( 1 );

}

/**

* From arbitrary establish heap order property

* Arrangement of items. Runs in linear time.

*/

template

void BinaryHeap::buildHeap( )

{

for( int i = currentSize / 2; i > 0; i-- )

percolateDown( i );

}

/**

* Test if the priority queue is empty logically.

* Return true if empty, or else false.

*/

template

bool BinaryHeap::isEmpty( ) const

{

return currentSize == 0;

}

/**

* Test if priority queue is logically full.

* Return true if full, false otherwise.

*/

template

bool BinaryHeap::isFull( ) const

{

return currentSize == array.size( ) - 1;

}

/**

* Logically make priority queue empty.

*/

template

void BinaryHeap::makeEmpty( )

{

currentSize = 0;

}

/**

* To percolate down, internal technique in the heap.

* hole is the index whereupon the percolate begins.

*/

template

void BinaryHeap::percolateDown( int hole )

{

/* 1*/ int child;

/* 2*/ Comparable tmp = array[ hole ];

/* 3*/ for( ; hole * 2 <= currentSize; hole = child )

{

/* 4*/ child = hole * 2;

/* 5*/ if( child != currentSize && array[ child + 1 ] < array[ child ] )

/* 6*/ child++;

/* 7*/ if( array[ child ] < tmp )

/* 8*/ array[ hole ] = array[ child ];

else

/* 9*/ break;

}

/*10*/ array[ hole ] = tmp;

}

TestBinaryHeap.cpp

------------------

#include

#include "BinaryHeap.h"

#include "dsexceptions.h"

// Test program int main( )

{

int numItems = 10000; BinaryHeap h( numItems ); int i = 37;

int x;

try

{

for( i = 37; i != 0; i = ( i + 37 ) % numItems )

h.insert( i );

for( i = 1; i < numItems; i++ )

{

h.deleteMin( x );

if( x != i )

cout << "Oops! " << i << endl;

}

for( i = 37; i != 0; i = ( i + 37 ) % numItems )

h.insert( i );

h.insert( 0 );

h.insert( i = 999999 ); // Should overflow

}

catch( Overflow )

{ cout << "Overflow (expected)! " << i << endl; }

return 0;

}

 

Posted Date: 3/20/2013 4:00:34 AM | Location : United States







Related Discussions:- Implement binary heap in c++?, Assignment Help, Ask Question on Implement binary heap in c++?, Get Answer, Expert's Help, Implement binary heap in c++? Discussions

Write discussion on Implement binary heap in c++?
Your posts are moderated
Related Questions
Define the Data Type Modifiers in C language? There are three data types(int, float & double) above have the following modifiers. 1. short 2. long 3. signed 4. unsigned

Byteland county is very famous for luminous jewels. Luminous jewels are used in making beautiful necklaces. A necklace consists of various luminous jewels of particular colour. Nec

Unlike C++, other programming languages have associative arrays that allow array indices to be strings instead of just integers. You are to create a template class, SVector, that i

Create a pseudocode in getting Calendar Quarter. The program should identify which quarter falls the given date. Note: Consider the date format DDMMYYYY.

Assignment:  write a C program and a MASM procedure.  The C program calls the MASM procedure to perform letter case conversion. Text sections covered:  12.1 to 12.3.1 Write a


though the ascii is called 7-bit code. why do we use 8-bits to represent a character?

how we can code in c++ for assignment problem (operation research) method to mkinimization and mamization

Write an algorithm to print all even numbers in descending order and draw the flowchart.

B-tree: A B-tree is an also called balanced m-way tree. A node of the tree may have many records or key and pointers to children. It is also called as the balanced sort tree. It s