Multiplication of polynomials in c++

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I enter an array and the code should multiply this array by (x^2 + 2*A*X + A^A). for example an array 1, 3, 3, 1 should have answer 1, 5, 10, 10, 5, 1 if A = 1. I have tried to write the code but I have no idea how I am supposed to multiply polynomials in C++.

CODE

#include "pch.h"
#include <iostream>

int main()
{
int a, n;

std::cout << "Enter the Power n: "; //Power decides the size of array.
std::cin >> n;

std::cout << "Enter the number A: ";
std::cin >> a;

int arr_size = n + 1;       

int *array = new int[2 * arr_size];

std::cout << "Enter the array P(X): ";

for (int i = 0; i < arr_size; i++)
{
    std::cin >> array[i];
}

for (int i = 0; i < arr_size; i++)
    std::cout << array[i] << " ";

const int x = 1;
for (int i = 0; i < arr_size; i++) {
    array[i] = array[i] * x ^ 2;
    array[i] = array[i] * (2 * a*x);
    array[i] = array[i] * (a * a);

    std::cout << array[i] << " ";
}
return 0;
}
#include <iostream>
#include <vector>

int main() {
    // coefs before multiplying by powers of A
    std::vector<int> a = {1,2,1};

    // make polynomial coefs vector
    int A = 1;
    const int as = a.size();
    int ap = 1;
    for(int ai = 0; ai<as; ++ai){
        a[ai] *= ap;
        ap *= A;
    }

    std::vector<int> b = {1,3,3,1};
    const int bs = b.size();

    // result vector
    std::vector<int> c(as + bs - 1, 0);

    // multiply vectors
    for(int ai = 0; ai<as; ++ai)
        for(int bi = 0; bi<bs; ++bi){
            c[ai+bi] += a[ai]*b[bi];
        }

    for(int cn: c)
       std::cout << cn << ' ';
    return 0;
}

How to multiply polynomials in C?, Program 371: Multiply 2 Polynomials #include<stdio.h> main() { int i,j,sizePoly1,​sizePoly2; printf("Enter number of terms in Polynomial 1\n"); scanf("%d"  10 thoughts on “ C Program for Addition and Multiplication of Polynomial Using Arrays or Linked List ” Jayasooryan Kv October 12, 2014. Code working! Thanks. Better if code is aligned.

You should use an output array for this and properly multiply your results.

I'm considering that index = polynomial exponent (i.e. [0] is for x**0):

std::vector<int> array(arr_size, 0);

std::cout << "Enter the array P(X): ";

for (int i = 0; i < arr_size; i++)
{
    std::cin >> array[i];
}

for (int i = 0; i < arr_size; i++)
    std::cout << array[i] << " ";
std::cout << std::endl;

std::vector<int> out(arr_size+2, 0); // We add two new coefficients

for (int i = 0; i < arr_size; i++) {
    out[i+2] += array[i]; // bumps the coefficient for x**2
    out[i+1] += array[i] * (2 * a); // add the coefficient for 2ax
    out[i] += array[i] * (a * a); // Adds the coefficient for a**2

}
for(int coeff: out)
    std::cout << coeff << " ";
std::cout << std::endl;

Program 371: Multiply 2 Polynomials, Polynomial addition, multiplication (8th degree polynomials) using arrays. #​include<math.h> #include<stdio.h> #include<conio.h> #define MAX 17 void init(​int  In Depth Explanation. Conventional polynomial multiplication uses 4 coefficient multiplications: (ax + b) (cx + d) = acx 2 + (ad + bc)x + bd. However, notice the following relation: (a + b) (c + d) = ad + bc + ac + bd. The rest of the two components are exactly the middle coefficient for product of two polynomials.

It seems to me a problem that you can solve with a std::valarray

I mean... if your array is

std::valarray<int>  array(arr_size);

next you can simply write

array *= x*x + 2*a*x + a*a;

Off topic suggestion: you're using C++11 so, please, avoid to manage directly your dynamic memory.

In your code you have allocated an array

int *array = new int[2 * arr_size];

but you haven't deleted it.

Use, when possible, standard containers (std::valarray but also std::vector) and when you have to manage dynamic memory, use smart pointer (std::unique_ptr, std::shared_ptr, etc.).

C Program for Addition and Multiplication of Polynomial Using , Program to multiply two polynomials. #include <stdio.h> #include <conio.h> #​define MAX 10 struct term { int coeff ; int exp ; } ; struct poly { struct term t [10] ; int  Program to add two polynomial functions; Program to add two polynomials; Program to add two polynomials maintained as linked lists; Program to addition of two polynomial; Program to multiply two 32-bit numbers and store answer in memory; Program to multiply two matrices using thread; Program to multiply two matrices; Program to multiply two sparse matrices; Program to multiply two numbers

Program to multiply two polynomials, What happens when we multiply together the polynomials a0 + a1x and b0 + b1x + b2x2? If we we write a(x) | b(x) if there is some c(x) such that b(x) = a(x)c(x). Multiplication of Two Polynomials. Enter the number of coefficients in the multiplicand:2. Enter the coefficient part:3. Enter the exponent part:2. Enter the coefficient part:2. Enter the exponent part:3. Enter the number of coefficients in the multiplier:2. Enter the coefficient part:4. Enter the exponent part:2.

C Programming Tutorial #03 C Program to multiply two polynomials , To multiply two polynomials multiply each term in one polynomial by each term of Alice and Betty, let's just use a and b, and Charles and David can be c and d:. 2 Enter the coefficient and the exponent of the polynomial terms in the decreasing order: 5 1 4 0 5*x^1+4*x^0 The result of the multiplication of two polynomials: 25*x^4+40*x^3+51*x^2+28*x^1. The above program performs the multiplication of two polynomials. It accepts the count of the number of terms.

[PDF] Addition of polynomials Multiplication of polynomials, Multiplying polynomials. Having trouble with this. Adding, derivation, integration, all work fine, but multiplication doesn't. My polynomial is in fact  Program to multiply two polynomials Multiply two polynomials Given two polynomials represented by two arrays, write a function that multiplies given two polynomials C Program for Addition and Multiplication of Polynomial Using C Program For Multiplication Of Two Polynomials Required Multiplying Two Polynomials Together Using Linked Lists C

Comments
  • Just use std::transform() with a functor coding your function.
  • The ^ operator is bitwise or, not exponentiation. Just multiply x with itself. And of course, Aᴬ is not equal to A * A.
  • Oh and please read about how to ask good questions, as well as this question checklist. Then please edit your question to actually include a question. It's unclear what your problem is, what you're actually asking about.
  • I asked clear , how to multiply polynomials ? Whats so ambigous in it ?
  • @Someprogrammerdude it's the bitwise xor, probably autocorrect change?