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# Represent a polynomial in terms of a singly linked list and then add two three variables polynomials

Posted By: Easy Tutor     Category: C++ Programming     Views: 20863

## Code for Represent a polynomial in terms of a singly linked list and then add two three variables polynomials in C++ Programming

```#include<iostream.h>
#include<stdlib.h>
#include<conio.h>

struct poly
{
int coeff;
int x;
int y;
int z;
struct poly * next;
};

class polynomial
{
private :

public:
{
}

void getdata();
void display();
void insert(poly *prv,poly *curr,poly *p);
polynomial operator + (polynomial );
};

polynomial polynomial :: operator +(polynomial px2)
{
polynomial px;
poly *t1,*t2,*t3,*last;

while(t1 != NULL && t2 != NULL)
{
t3 = new poly;
t3->next = NULL;
if(t1->x == t2->x && t1->y == t2->y && t1->z == t2->z)
{
t3->coeff = t1->coeff + t2->coeff;
t3->x = t1->x;
t3->y = t1->y;
t3->z = t1->z;
t1 = t1->next;
t2 = t2->next;
}
elseif(t1->x > t2->x)
{    t3->coeff = t1->coeff;
t3->x = t1->x;
t3->y = t1->y;
t3->z = t1->z;
t1 = t1->next;
}
elseif(t1->x < t2->x)
{       t3->coeff = t2->coeff;
t3->x = t2->x;
t3->y = t2->y;
t3->z = t2->z;
t2 = t2->next;
}
elseif(t1->y > t2->y)
{    t3->coeff = t1->coeff;
t3->x = t1->x;
t3->y = t1->y;
t3->z = t1->z;
t1 = t1->next;
}
elseif(t1->y < t2->y)
{    t3->coeff = t2->coeff;
t3->x = t2->x;
t3->y = t2->y;
t3->z = t2->z;
t2 = t2->next;
}
elseif(t1->z > t2->z)
{    t3->coeff = t1->coeff;
t3->x = t1->x;
t3->y = t1->y;
t3->z = t1->z;
t1 = t1->next;
}
elseif(t1->z < t2->z)
{    t3->coeff = t2->coeff;
t3->x = t2->x;
t3->y = t2->y;
t3->z = t2->z;
t2 = t2->next;
}
else
last->next = t3;
last = t3;
}
if(t1 == NULL)
t3->next = t2;
else
t3->next = t1;
return px;

}

void polynomial :: insert(poly *prv,poly *curr,poly *node)
{
if(node->x == curr->x && node->y == curr->y && node->z == curr->z)
{
curr->coeff += node->coeff;
delete node;
}
elseif((node->x > curr->x) || (node->x == curr->x && node->y > curr->y) || (node->x == curr->x && node->y == curr->y && node->z > curr->z))
{
node->next = curr;
prv->next = node;
}
else
{
prv = curr;
curr = curr->next;
if(curr == NULL)
{
prv->next = node;
node->next = NULL;
return;
}
insert(prv,curr,node);
}
return;
}

void polynomial :: getdata()
{
int tempcoeff;
poly *node;
while(1)
{    cout << endl << "Coefficient : ";

cin >> tempcoeff;
if (tempcoeff==0)
break;
node = new poly;
node->coeff = tempcoeff;
cout << endl << "Power of X : ";
cin >> node->x;
cout << endl << "Power of Y : ";
cin >> node->y;
cout << endl << "Power of Z : ";
cin >> node->z;
{
node->next = NULL;
}
{
delete node;
}

{
}
{
node->next = NULL;
}
else
}
}

void polynomial :: display()
{
poly *temp;
cout << endl << "Polynomial :: ";
while(temp != NULL)
{
if(temp->coeff < 0)
cout << " - ";
cout << abs(temp->coeff);
if(temp->x != 0)
cout << "x^" << temp->x;
if(temp->y != 0)
cout << "y^" << temp->y;
if(temp->z != 0)
cout << "z^" << temp->z;
if(temp->next->coeff > 0)
cout << " + ";
temp = temp->next;
}
cout << " = 0";
}

void main()
{
polynomial px1,px2,px3;
clrscr();
px1.getdata();
px2.getdata();
px3 = px1 + px2;
px1.display();
px2.display();
px3.display();
getch();
}```
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