polynomial2-derivative.cpp File Reference

#include <iostream>
#include <string>
#include <sstream>
#include "DGtal/math/MPolynomial.h"
#include "DGtal/io/readers/MPolynomialReader.h"

Include dependency graph for polynomial2-derivative.cpp:

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Functions
void	usage (int, char **argv)
int	main (int argc, char **argv)

Detailed Description

Author

Jacques-Olivier Lachaud (jacqu.nosp@m.es-o.nosp@m.livie.nosp@m.r.la.nosp@m.chaud.nosp@m.@uni.nosp@m.v-sav.nosp@m.oie..nosp@m.fr ) Laboratory of Mathematics (CNRS, UMR 5127), University of Savoie, France

Date

2012/02/06

An example file named polynomial2-derivative.

This file is part of the DGtal library.

Definition in file polynomial2-derivative.cpp.

Function Documentation

main()

int main	(	int	argc,
		char **	argv )

Main.

[polynomial2-derivative-types]

[polynomial2-derivative-types]

[polynomial2-derivative-process]

[polynomial2-derivative-process]

Definition at line 57 of file polynomial2-derivative.cpp.

{
  if ( argc < 2 )
    {
      usage( argc, argv );
      return 1;
    }
 
  typedef double Ring;
  typedef MPolynomial<2, Ring> MyPolynomial;
 
  std::string polynomialString( argv[ 1 ] );
  std::istringstream polynomialIStream( polynomialString );
  MyPolynomial P;
  polynomialIStream >> P;
  MyPolynomial P1_0 = derivative<0>( P );
  MyPolynomial P2_0 = derivative<0>( P1_0 );
  MyPolynomial P0_1 = derivative<1>( P );
  MyPolynomial P0_2 = derivative<1>( P0_1 );
  MyPolynomial P1_1 = derivative<1>( P1_0 );
  MyPolynomial P1_1b= derivative<0>( P0_1 );
  std::cout << "P(X_0,X_1)        = " << P << std::endl;
  std::cout << "dP/dX_0(X_0,X_1)  = " << P1_0 << std::endl;
  std::cout << "dP/dX_1(X_0,X_1)  = " << P0_1 << std::endl;
  std::cout << "d/dX_1 dP/dX_0(X_0,X_1) = " << P1_1 << std::endl;
  std::cout << "d/dX_0 dP/dX_1(X_0,X_1) = " << P1_1b << std::endl;
  std::cout << "d/dX_0 dP/dX_0(X_0,X_1) = " << P2_0 << std::endl;
  std::cout << "d/dX_1 dP/dX_1(X_0,X_1) = " << P0_2 << std::endl;
  return 0;
}

References DGtal::derivative().

usage()

void usage	(	int	,
		char **	argv )

Definition at line 48 of file polynomial2-derivative.cpp.

{
  std::cerr << "Usage: " << argv[ 0 ] << " <P(x,y)>" << std::endl;
  std::cerr << "\t - computes the first and second derivatives of the given polynomial P (in two variables)." << std::endl;
}