Polynomial ADT is an important application of “Data structures Linked list”. Before going into this topic, you have to learn about applications of linked list in detail. Example C program tutorial is given below.

Polynomial ADT

The most important work of linked list is the polynomial addition. In this, linked list is used to add two or more polynomial equations. To add a polynomial equation it checks three conditions, which is explained in three cases.

• Read: Education Loan Guide

CASE I:

When the power of the polynomial 1 is greater than the power of the polynomial 2, then the resultant polynomial’s first coefficient will have the power of the polynomial 1.

Pseudo code:

If(P1->PWR >P2-> PWR)
{
P -> PWR = P1-> PWR;
P ->Coef= P1-> Coef;
P1= P1->next;
}

• Learn [ Aptitude ] – [ Placement Papers ] – [ Spoken English ]

CASE II:

When the power of the polynomial 2 is greater than the power of the polynomial 1, then the resultant polynomial’s first coefficient will have the power of the polynomial 2.

Pseudo-code:

If(P1-> PWR <P2-> PWR)
{
P -> PWR = P2-> PWR;
P -> Coef= P2>Coef;
P1= P1->next;
}

CASE 3:

When the power of the polynomial 1 is equal to the power of the polynomial 2, then normal addition is carried out and the coefficient have the same power.

Pseudo code:

If
{
P-> PWR = P1-> PWR;
P->Coef = P1->Coef + P2->Coef;
P1= P1-> Next;
P2= P2-> Next;
}

• [Read: C Program Tutorials] & [IT Companies Details]

C PROGRAM FOR POLYNOMIAL ADDITION:

#include<stdio.h>
#include<conio.h>
#include<malloc.h>
  struct Llist
  {
int Coef;
   int PWR;
struct Llist *next;
};
struct Llist *P1=NULL,*P2=NULL,*P=NULL;
void generate(struct Llist *node)
{
char C1;
do
{
printf("\n Enter a Coefficient value:");
scanf("%d",&node->Coef);
printf("\n Please enter a PWR value:");
scanf("%d", &node->PWR);
node->next=(struct Llist*)malloc(sizeof(struct Llist));
node=node->next;
node->next=NULL;
printf("\n Wanna continue? [Y/N]:");
C1=getch();
}
while(C1=='y' || C1=='Y');
}
void Display(struct Llist *node)
{
while(node->next!=NULL)
{
printf("%dx^%d",node->Coef,node->PWR);
node=node->next;
if(node->next!=NULL)
printf("+");
}
}
void Padd(struct Llist *P1,struct Llist *P2,struct Llist *P)
{
while(P1->next && P2->next)
{
If(P1->PWR >P2-> PWR)
{
P -> PWR = P1-> PWR;
P ->Coef= P1-> Coef;
P1= P1->next;
}
else if(P1->PWR<P2->PWR)
{
P->PWR=P2->PWR;
P->Coef=P2->Coef;
P2=P2->next;
   }
else
{
P->PWR=P1->PWR;
P->Coef=P1->Coef+P2->Coef;
P1=P1->next;
P2=P2->next;
}
   P->next=(struct Llist *)malloc(sizeof(struct Llist));
P=P->next;
P->next=NULL;
}
while(P1->next || P2->next)
{
if(P1->next)
{
P->PWR=P1->PWR;
P->Coef=P1->Coef;
P1=P1->next;
  }
if(P2->next)
{
P->PWR=P2->PWR;
P->Coef=P2->Coef;
P2=P2->next;
}
P->next=(struct Llist *)malloc(sizeof(struct Llist));
P=P->next;
P->next=NULL;
}
}
main() // Main method
{
char C1;
do
{
P1=(struct Llist *)malloc(sizeof(struct Llist));
P2=(struct Llist *)malloc(sizeof(struct Llist));
P=(struct Llist *)malloc(sizeof(struct Llist));
printf("\n Enter First No:");
generate (P1);
printf("\n Enter second No:");
generate (P2);
printf("\n First No is:");
Display(P1);
printf("\n Second No is:");
Display(P2);
polyadd(P1,P2,P);
printf("\n Addition of the Polynomial is:");
Display(P);
printf("\n Add 2 more No’s:");
C1=getch();
}
while(C1=='y' || C1=='Y');
}

• Important: [C++ Programs] & [ Java Programs ]