📄 kchain.h
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// function Bitonic added
#ifndef Chain_
#define Chain_
#include <iostream.h>
#include "cnode.h"
#include "xcept.h"
template <class T> class ChainIterator;
template<class T>
class Chain {
friend ChainIterator<T>;
public:
Chain() {first = 0;}
~Chain();
bool IsEmpty() const {return first == 0;}
int Length() const;
bool Find(int k, T& x) const;
int Search(const T& x) const;
Chain<T>& Delete(int k, T& x);
Chain<T>& Insert(int k, const T& x);
bool Bitonic() const;
void Output(ostream& out) const;
private:
ChainNode<T> *first; // pointer to first node
};
template<class T>
Chain<T>::~Chain()
{// Chain destructor. Delete all nodes in chain.
ChainNode<T> *next; // next node
while (first) {
next = first->link;
delete first;
first = next;
}
}
template<class T>
int Chain<T>::Length() const
{// Return the number of elements in the chain.
ChainNode<T> *current = first;
int len = 0;
while (current) {
len++;
current = current->link;
}
return len;
}
template<class T>
bool Chain<T>::Find(int k, T& x) const
{// Return the k'th element in the chain in x.
// Return false if no k'th; return true otherwise.
if (k < 1) return false;
ChainNode<T> *current = first;
int index = 1; // index of current
while (index < k && current) {
current = current->link;
index++;
}
if (current) {x = current->data;
return true;}
return false; // no k'th element
}
template<class T>
int Chain<T>::Search(const T& x) const
{// Locate x. Return position of x if found.
// Return 0 if x not in the chain.
ChainNode<T> *current = first;
int index = 1; // index of current
while (current && current->data != x) {
current = current->link;
index++;
}
if (current) return index;
return 0;
}
template<class T>
Chain<T>& Chain<T>::Delete(int k, T& x)
{// Delete k'th element of chain.
// Throw OutOfBounds exception if no k'th element.
if (k < 1 || !first)
throw OutOfBounds(); // no k'th
// p will eventually point to k'th node
ChainNode<T> *p = first;
// move p to k'th & remove from chain
if (k == 1) // p already at k'th
first = first->link; // remove
else { // use q to get to k-1'st
ChainNode<T> *q = first;
for (int index = 1; index < k - 1 && q;
index++)
q = q->link;
if (!q || !q->link)
throw OutOfBounds(); // no k'th
p = q->link; // k'th
q->link = p->link;} // remove from chain
// save k'th element and free node p
x = p->data;
delete p;
return *this;
}
template<class T>
Chain<T>& Chain<T>::Insert(int k, const T& x)
{// Insert x after the k'th element.
// Throw OutOfBounds exception if no k'th element.
// Pass NoMem exception if inadequate space.
if (k < 0) throw OutOfBounds();
// p will eventually point to k'th node
ChainNode<T> *p = first;
for (int index = 1; index < k && p;
index++) // move p to k'th
p = p->link;
if (k > 0 && !p) throw OutOfBounds(); // no k'th
// insert
ChainNode<T> *y = new ChainNode<T>;
y->data = x;
if (k) {// insert after p
y->link = p->link;
p->link = y;}
else {// insert as first element
y->link = first;
first = y;}
return *this;
}
template<class T>
bool Chain<T>::Bitonic() const
{// Return the true iff the chain is bitonic.
// empty chain is bitonic
if (!first) return true;
// find first adjacent pair of unequal elements
T e = first->data;
ChainNode<T> *c = first->link; // cursor
while (c && e == c->data)
c = c->link;
// did we find an element different from e?
if (!c) // all elements are equal
return true;
// elements e and c->data are different
if (e < c->data) {// first part is nondecreasing
// bypass nondecreasing part
T last = c->data;
c = c->link;
while (c && last <= c->data) {
last = c->data;
c = c->link;
}
if (!c) // all are nondecreasing
return true;
// elements remain, rest must be nonincreasing
last = c->data;
c = c->link;
while (c && last >= c->data) {
last = c->data;
c = c->link;
}
// list is bitonic iff c = 0
if (c) return false;
else return true;
}
else {// first part is nonincreasing
// bypass nonincreasing part
T last = c->data;
c = c->link;
while (c && last >= c->data) {
last = c->data;
c = c->link;
}
if (!c) // all are nonincreasing
return true;
// elements remain, rest must be nondecreasing
last = c->data;
c = c->link;
while (c && last <= c->data) {
last = c->data;
c = c->link;
}
// list is bitonic iff c = 0
if (c) return false;
else return true;
}
}
template<class T>
void Chain<T>::Output(ostream& out) const
{// Insert the chain elements into the stream out.
ChainNode<T> *current;
for (current = first; current;
current = current->link)
out << current->data << " ";
}
// overload <<
template <class T>
ostream& operator<<(ostream& out, const Chain<T>& x)
{x.Output(out); return out;}
#endif
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