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divide two polynomials c++
Black Bird
on Aug 27, 2020
#include <iostream>#include <iterator>#include <vector> using namespace std;typedef vector<double> Poly; // does: prints all members of vector// input: c - ASCII char with the name of the vector// A - reference to polynomial (vector)void Print(char name, const Poly &A) { cout << name << "(" << A.size()-1 << ") = [ "; copy(A.begin(), A.end(), ostream_iterator<decltype(A[0])>(cout, " ")); cout << "]\n";} int main() { Poly N, D, d, q, r; // vectors - N / D == q && N % D == r size_t dN, dD, dd, dq, dr; // degrees of vectors size_t i; // loop counter // setting the degrees of vectors cout << "Enter the degree of N: "; cin >> dN; cout << "Enter the degree of D: "; cin >> dD; dq = dN-dD; dr = dN-dD; if( dD < 1 || dN < 1 ) { cerr << "Error: degree of D and N must be positive.\n"; return 1; } // allocation and initialization of vectors N.resize(dN+1); cout << "Enter the coefficients of N:"<<endl; for ( i = 0; i <= dN; i++ ) { cout << "N[" << i << "]= "; cin >> N[i]; } D.resize(dN+1); cout << "Enter the coefficients of D:"<<endl; for ( i = 0; i <= dD; i++ ) { cout << "D[" << i << "]= "; cin >> D[i]; } d.resize(dN+1); q.resize(dq+1); r.resize(dr+1); cout << "-- Procedure --" << endl << endl; if( dN >= dD ) { while(dN >= dD) { // d equals D shifted right d.assign(d.size(), 0); for( i = 0 ; i <= dD ; i++ ) d[i+dN-dD] = D[i]; dd = dN; Print( 'd', d ); // calculating one element of q q[dN-dD] = N[dN]/d[dd]; Print( 'q', q ); // d equals d * q[dN-dD] for( i = 0 ; i < dq + 1 ; i++ ) d[i] = d[i] * q[dN-dD]; Print( 'd', d ); // N equals N - d for( i = 0 ; i < dN + 1 ; i++ ) N[i] = N[i] - d[i]; dN--; Print( 'N', N ); cout << "-----------------------" << endl << endl; } } // r equals N for( i = 0 ; i <= dN ; i++ ) r[i] = N[i]; cout << "=========================" << endl << endl; cout << "-- Result --" << endl << endl; Print( 'q', q ); Print( 'r', r );} Source: rosettacode.org
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