#include <stdio.h>

#include <conio.h>

#include <math.h>

typedef struct node

{

int power;

float coeff;

struct node *next;

}node;

node * insert(node *head,int power1,float coeff1);

node * create();

node * padd(node *p1,node *p2);

node * pmul(node *p1,node *p2);

float eval(node *p1,float x);

void print(node *head);

node *insert(node *head,int power1,float coeff1)

{

node *p,*q;

p=(node*) malloc(sizeof(node));

p->power=power1;

p->coeff=coeff1;

p->next=NULL;

if(head==NULL)

{

head=p;

head->next=head;

return(head);

}

if(power1<head->power)

{

p->next=head->next;

head->next=p;

head=p;

return(head);

}

if(power1==head->power) //add coefficients

{

head->coeff=head->coeff+coeff1;

return(head);

}

q=head;

while(q->next!=head && power1<=q->next->power) //locate the postion for insertion

q=q->next;

if(p->power==q->power)

q->coeff=q->coeff+coeff1;

else

{

p->next=q->next;

q->next=p;

}

return(head);

}

node *create()

{

int n,i,power1;

float coeff1;

node *head=NULL;

printf("\nEnter No. of Terms:");

scanf("%d",&n);

printf("\nenter a term as a tuple of (power,coefficient) : ");

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

{

scanf("%d%f",&power1,&coeff1);

head=insert(head,power1,coeff1);

}

return(head);

}

node * padd(node *p1,node *p2)

{

node *p;

node *head=NULL;

int power;float coeff;

p=p1->next;

do //insert the first polynomial

{

head=insert(head,p->power,p->coeff);

p=p->next;

} while(p!=p1->next);

p=p2->next;

do //insert the second polynomial

{

head=insert(head,p->power,p->coeff);

p=p->next;

} while(p!=p2->next);

return(head);

}

node *pmul(node *p1,node *p2)

{

node *head1,*head2;

node *head=NULL;

head2=p2->next;

do //for every term of the second polynomial

{

head1=p1->next;

do //multiply with every term of the first polynomial

{

head=insert(head,head1->power+head2->power,head1->coeff * head2->coeff);

head1=head1->next;

}while(head1!=p1->next);

head2=head2->next;

}while(head2!=p2->next);

return(head);

}

float eval(node *head,float x)

{

float value=0.00;

node *p;

p=head->next;

{

value=value+p->coeff * pow(x,p->power);

p=p->next;

}while(p!=head->next);

return(value);

}

void print( node *head)

{

node *p;

p=head->next;

printf("\n");

{

printf("%6.2fx^%d ",p->coeff,p->power);

p=p->next;

}while(p!=head->next);

}

void main()

{

node *p1,*p2,*p3;

int op;

float value,x;

p1=p2=p3=NULL;

clrscr();

{

printf("\n1)Create first polynomial");

printf("\n2)Create second polynomial");

printf("\n3)Print first polynomial");

printf("\n4)Print second polynomial");

printf("\n5)Add\n6)Multiply\n7)Evaluate First Polynomial\n8)Quit");

printf("\nEnter Your Choice: ");

scanf("%d",&op);

switch(op)

{

case 1: p1=create();break;

case 2: p2=create();break;

case 3: print(p1);break;

case 4: print(p2);break;

case 5: p3=padd(p1,p2);

print(p3);break;

case 6: p3=pmul(p1,p2);

print(p3);break;

case 7: printf("\nEnter the value of X:");

scanf("%f",&x);

value=eval(p1,x);

printf("\nEvaluated value = %6.2f",value);

break;

}

}while(op!=8);

}

OUTPUT:

1)Create first polynomial

2)Create second polynomial

3)Print first polynomial

4)Print second polynomial

5)Add

6)Multiply

7)Evaluate First Polynomial

8)Quit

Enter Your Choice: 1

Enter No. of Terms:3

enter a term as a tuple of (power,coefficient) : 3 2 2 3 0 9

1)Create first polynomial

2)Create second polynomial

3)Print first polynomial

4)Print second polynomial

5)Add

6)Multiply

7)Evaluate First Polynomial

8)Quit

Enter Your Choice: 2

Enter No. of Terms:3

enter a term as a tuple of (power,coefficient) : 2 4 1 2 0 6

1)Create first polynomial

2)Create second polynomial

3)Print first polynomial

4)Print second polynomial

5)Add

6)Multiply

7)Evaluate First Polynomial

8)Quit

Enter Your Choice: 3

2.00x^3 3.00x^2 9.00x^0

1)Create first polynomial

2)Create second polynomial

3)Print first polynomial

4)Print second polynomial

5)Add

6)Multiply

7)Evaluate First Polynomial

8)Quit

Enter Your Choice: 4

4.00x^2 2.00x^1 6.00x^0

1)Create first polynomial

2)Create second polynomial

3)Print first polynomial

4)Print second polynomial

5)Add

6)Multiply

7)Evaluate First Polynomial

8)Quit

Enter Your Choice: 5

2.00x^3 7.00x^2 2.00x^1 15.00x^0

1)Create first polynomial

2)Create second polynomial

3)Print first polynomial

4)Print second polynomial

5)Add

6)Multiply

7)Evaluate First Polynomial

8)Quit

Enter Your Choice: 6

8.00x^5 16.00x^4 18.00x^3 54.00x^2 18.00x^1 54.00x^0

1)Create first polynomial

2)Create second polynomial

3)Print first polynomial

4)Print second polynomial

5)Add

6)Multiply

7)Evaluate First Polynomial

8)Quit

Enter Your Choice: 7

Enter the value of X:

Evaluated value = 37.00

1)Create first polynomial

2)Create second polynomial

3)Print first polynomial

4)Print second polynomial

5)Add

6)Multiply

7)Evaluate First Polynomial

8)Quit

Enter Your Choice: 8

Written by: Fabianski Benjamin

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