122 lines
2.8 KiB
C
122 lines
2.8 KiB
C
#include <stdio.h>
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#include <stdlib.h>
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// Structure to represent a term in a polynomial
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typedef struct Node {
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int coeff;
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int power;
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struct Node* next;
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struct Node* prev;
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} Node;
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Node* createNode(int coeff, int power) {
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Node* newNode = (Node*)malloc(sizeof(Node));
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newNode->coeff = coeff;
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newNode->power = power;
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newNode->next = NULL;
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newNode->prev = NULL;
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return newNode;
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}
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Node* insertTerm(Node* head, int coeff, int power) {
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Node* temp = createNode(coeff, power);
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if (head == NULL) {
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head = temp;
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head->next = head;
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head->prev = head;
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} else {
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Node* last = head->prev;
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temp->next = head;
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temp->prev = last;
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last->next = temp;
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head->prev = temp;
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}
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return head;
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}
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void displayPolynomial(Node* head) {
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if (head == NULL) {
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printf("Polynomial is empty\n");
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return;
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}
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Node* temp = head;
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do {
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printf("%dx^%d ", temp->coeff, temp->power);
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temp = temp->next;
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if (temp != head) {
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printf("+ ");
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}
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} while (temp != head);
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printf("\n");
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}
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Node* multiplyPolynomials(Node* poly1, Node* poly2) {
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if (poly1 == NULL || poly2 == NULL) {
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printf("One of the polynomials is empty\n");
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return NULL;
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}
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Node* result = NULL;
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Node* temp1 = poly1;
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do {
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Node* temp2 = poly2;
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do {
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int coeff = temp1->coeff * temp2->coeff;
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int power = temp1->power + temp2->power;
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result = insertTerm(result, coeff, power);
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temp2 = temp2->next;
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} while (temp2 != poly2);
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temp1 = temp1->next;
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} while (temp1 != poly1);
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Node* current = result;
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do {
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Node* next = current->next;
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while (next != result) {
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if (current->power == next->power) {
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current->coeff += next->coeff;
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Node* temp = next;
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next->prev->next = next->next;
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next->next->prev = next->prev;
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next = next->next;
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free(temp);
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} else {
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next = next->next;
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}
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}
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current = current->next;
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} while (current != result);
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return result;
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}
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int main() {
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Node* poly1 = NULL;
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Node* poly2 = NULL;
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Node* result = NULL;
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// Example: Polynomial 1: 5x^2 + 2x + 10, Polynomial 2: 2x^1 + 4
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poly1 = insertTerm(poly1, 5, 2);
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poly1 = insertTerm(poly1, 2, 1);
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poly1 = insertTerm(poly1, 10, 0);
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poly2 = insertTerm(poly2, 2, 1);
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poly2 = insertTerm(poly2, 4, 0);
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printf("Polynomial 1: ");
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displayPolynomial(poly1);
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printf("Polynomial 2: ");
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displayPolynomial(poly2);
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result = multiplyPolynomials(poly1, poly2);
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printf("Result of Multiplication: ");
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displayPolynomial(result);
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return 0;
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}
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