polynomial-derivative.cpp

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#include <iostream>
#include <string>
#include <sstream>
#include "DGtal/math/MPolynomial.h"
#include "DGtal/io/readers/MPolynomialReader.h"
 
 
using namespace DGtal;
 
 
void usage( int, char** argv )
{
  std::cerr << "Usage: " << argv[ 0 ] << " <P>" << std::endl;
  std::cerr << "\t - computes the first and second derivative of the given polynomial P (in one variable)." << std::endl;
}
 
int main( int argc, char** argv )
{
  if ( argc < 2 )
    {
      usage( argc, argv );
      return 1;
    }
 
  typedef double Ring;
  typedef MPolynomial<1, Ring> MyPolynomial;
 
  std::string polynomialString( argv[ 1 ] );
  std::istringstream polynomialIStream( polynomialString );
  MyPolynomial P;
  polynomialIStream >> P;
  MyPolynomial P1 = derivative<0>( P );
  MyPolynomial P2 = derivative<0>( P1 );
  std::cout << "P(X_0)   = " << P << std::endl;
  std::cout << "P'(X_0)  = " << P1 << std::endl;
  std::cout << "P''(X_0) = " << P2 << std::endl;
  return 0;
}