Polynomials and Sparse Matrix are two important applications of arrays and linked lists. A polynomial is composed of different terms where each of them holds a coefficient and an exponent. This tutorial chapter includes the representation of polynomials using linked lists and arrays. Program 2 - Polynomial Class with a Dynamic Array. Final version. I will not make any changes unless I find problems. One way to represent a polynomial is to use an array to hold the coefficients. A polynomial of degree n has n + 1 coefficients. Here is a start on a program to help test your class.
Iam working on a program to perform addition,subtraction,multiplication and differentiation operations on a polynomial using linked list in c.The other operations are working fine except multiplication one.here is the code
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polyadd(temp,n,n) as used in polymul() has trouble coping with using n as a source polynomial and as the sum destination polynomial.
Either re-work polyadd() to cope with parameters that point to the same polynomial or re-work the call of polyadd() in polymul() to use distinct polynomials. Suggest the first.
I did not go through your full code, as I found an error in your create() function. Note that you have passed poly1 to the function create() as argument.
This not correct as C follows call by value. What happens is only the value of poly1 (which is still un-initialised) is passed and *node stores that value. It's better to pass the address of poly1 as argument and catch that value in the function using pointer to pointer.
I considered the first term of first polynomial and multiplied with all the terms of second polynomial thereby creating a primary linked list of multiplied polynomial. As next piece of code I considered next term of first polynomial and then multiplied and searched in the multiplied polynomial for the same index and added the result to it, If it is not present I created a new node in the multiplied polynomial.Happy Coding
Given two polynomials represented by two arrays, write a function that adds given two polynomials.
Example:
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Addition is simpler than multiplication of polynomials. We initialize result as one of the two polynomials, then we traverse the other polynomial and add all terms to the result.
The following is implementation of above algorithm.
#include <iostream>// A utility function to return maximum of two integers // A[] represents coefficients of first polynomial // B[] represents coefficients of second polynomial int*add(intA[], intB[], intm, intn) intsize = max(m, n); for(inti = 0; i<m; i++) for(inti=0; i<n; i++) } // A utility function to print a polynomial { { if(i != 0) if(i != n-1) } intmain() // The following array represents polynomial 5 + 10x^2 + 6x^3 // The following array represents polynomial 1 + 2x + 4x^2 intm = sizeof(A)/sizeof(A[0]); printPoly(A, m); printPoly(B, n); int*sum = add(A, B, m, n); printPoly(sum, size); return0; |
// A utility function to return maximum of two integers return(m > n) ? m : n; // A[] represents coefficients of first polynomial // B[] represents coefficients of second polynomial staticint[] add(intA[], intB[], intm, intn) { intsum[] = newint[size]; // Initialize the porduct polynomial sum[i] = A[i]; for(inti = 0; i < n; i++) { } returnsum; staticvoidprintPoly(intpoly[], intn) { System.out.print(poly[i]); System.out.print('x^'+ i); if(i != n - 1) { } } // Driver program to test above functions // The following array represents polynomial 5 + 10x^2 + 6x^3 // The following array represents polynomial 1 + 2x + 4x^2 intm = A.length; System.out.println('First polynomial is'); System.out.println('nSecond polynomial is'); intsum[] = add(A, B, m, n); System.out.println('nsum polynomial is'); } |
# polynomials # A utility function to return maximum # A[] represents coefficients of first polynomial # B[] represents coefficients of second polynomial defadd(A, B, m, n): size =max(m, n); sum[i] =A[i] # Take ever term of first polynomial sum[i] +=B[i] returnsum# A utility function to print a polynomial fori inrange(n): if(i !=0): if(i !=n -1): if__name__ =='__main__': # The following array represents A =[5, 0, 10, 6] # The following array represents B =[1, 2, 4] n =len(B) print('First polynomial is') print('n', end =') printPoly(B, n) sum=add(A, B, m, n) printPoly(sum, size) # This code is contributed by |
usingSystem; // A utility function to return maximum of two integers { } // A[] represents coefficients of first polynomial // B[] represents coefficients of second polynomial staticint[] add(int[] A, int[] B, intm, intn) intsize = max(m, n); for(inti = 0; i < m; i++) sum[i] = A[i]; for(inti = 0; i < n; i++) sum[i] += B[i]; } // A utility function to print a polynomial { { if(i != 0) Console.Write('x^'+ i); if(i != n - 1) Console.Write(' + '); } publicstaticvoidMain() // The following array represents int[] A = {5, 0, 10, 6}; // The following array represents int[] B = {1, 2, 4}; intn = B.Length; printPoly(A, m); printPoly(B, n); intsize = max(m, n); printPoly(sum, size); } // by Mukul Singh |
// Simple PHP program to add two polynomials // A[] represents coefficients of first polynomial // B[] represents coefficients of second polynomial functionadd($A, $B, $m, $n) $size= max($m, $n); for($i= 0; $i< $m; $i++) for($i= 0; $i< $n; $i++) } // A utility function to print a polynomial { { if($i!= 0) if($i!= $n- 1) } // polynomial 5 + 10x^2 + 6x^3 // polynomial 1 + 2x + 4x^2 $m= count($A); printPoly($A, $m); printPoly($B, $n); $sum= add($A, $B, $m, $n); printPoly($sum, $size); // This code is contributed by chandan_jnu |
Time complexity of the above algorithm and program is O(m+n) where m and n are orders of two given polynomials.
This article is contributed by Harsh. Please write comments if you find anything incorrect, or you want to share more information about the topic discussed above