vnl_real_npolynomial Class Reference

#include <vnl_real_npolynomial.h>

Collaboration diagram for vnl_real_npolynomial:

[legend]List of all members.

Public Methods
	vnl_real_npolynomial ()
	vnl_real_npolynomial (const vnl_vector< double > &c, const vnl_matrix< int > &p)
double	eval (const vnl_vector< double > &x)
int	degree ()
vnl_real_npolynomial	operator- () const
vnl_real_npolynomial	operator+ (vnl_real_npolynomial const &) const
vnl_real_npolynomial	operator- (vnl_real_npolynomial const &) const
vnl_real_npolynomial	operator * (vnl_real_npolynomial const &) const
vnl_real_npolynomial	operator+ (double) const
vnl_real_npolynomial	operator- (double P) const
vnl_real_npolynomial	operator * (double) const
vnl_real_npolynomial &	operator *= (double P)
vnl_real_npolynomial	operator/ (double P) const
vnl_real_npolynomial &	operator/= (double P)
int	degree () const
double &	operator[] (int i)
double	operator[] (int i) const
const vnl_vector< double > &	coefficients () const
vnl_vector< double > &	coefficients ()
void	set (const vnl_vector< double > &c, const vnl_matrix< int > &p)
const vnl_matrix< int > &	polyn () const
vnl_matrix< int > &	polyn ()
Friends
class	vnl_rnpoly_solve
vcl_ostream &	operator<< (vcl_ostream &, vnl_real_npolynomial const &)

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Detailed Description

real polynomial in N variables.

      vnl_real_npolynomial represents a polynomial in multiple variables.
      Used by vnl_rnpoly_solve which solves systems of polynomial equations.
      Representation:  an N-omial (N terms) is represented by (1) a vector
      with the N coefficients (vnl_vector<double>), and (2) a matrix with
      N rows, the i-th row representing the exponents of term i, as follows:
      (vnl_matrix<int>) column k contains the (integer) exponent of variable
      k.  Example: the polynomial A*X^3 + B*X*Y + C*Y^2 + D*X*Y^2 is
      represented by the coefficients vector [A B C D] and the exponents
      matrix
      [3 0]
      [1 1]
      [0 2]
      [1 2].
    

Definition at line 48 of file vnl_real_npolynomial.h.

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Constructor & Destructor Documentation

vnl_real_npolynomial::vnl_real_npolynomial (    )  [inline]

Definition at line 54 of file vnl_real_npolynomial.h.

vnl_real_npolynomial::vnl_real_npolynomial (  const vnl_vector< double > &    c, const vnl_matrix< int > &    p )

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Member Function Documentation

vnl_vector<double>& vnl_real_npolynomial::coefficients (    )  [inline]

Return the vector of coefficients. Definition at line 94 of file vnl_real_npolynomial.h.

const vnl_vector<double>& vnl_real_npolynomial::coefficients (    )  const [inline]

Return the vector of coefficients. Definition at line 91 of file vnl_real_npolynomial.h.

int vnl_real_npolynomial::degree (    )  const [inline]

Return the degree (highest power of x) of the polynomial. Definition at line 80 of file vnl_real_npolynomial.h.

int vnl_real_npolynomial::degree (    )

double vnl_real_npolynomial::eval (  const vnl_vector< double > &    x )

vnl_real_npolynomial vnl_real_npolynomial::operator * (  double    )  const

vnl_real_npolynomial vnl_real_npolynomial::operator * (  vnl_real_npolynomial const &    )  const

vnl_real_npolynomial& vnl_real_npolynomial::operator *= (  double    P )  [inline]

Definition at line 68 of file vnl_real_npolynomial.h.

vnl_real_npolynomial vnl_real_npolynomial::operator+ (  double    )  const

vnl_real_npolynomial vnl_real_npolynomial::operator+ (  vnl_real_npolynomial const &    )  const

vnl_real_npolynomial vnl_real_npolynomial::operator- (  double    P )  const [inline]

Definition at line 66 of file vnl_real_npolynomial.h.

vnl_real_npolynomial vnl_real_npolynomial::operator- (  vnl_real_npolynomial const &    )  const

vnl_real_npolynomial vnl_real_npolynomial::operator- (    )  const

vnl_real_npolynomial vnl_real_npolynomial::operator/ (  double    P )  const [inline]

Definition at line 69 of file vnl_real_npolynomial.h.

vnl_real_npolynomial& vnl_real_npolynomial::operator/= (  double    P )  [inline]

Definition at line 70 of file vnl_real_npolynomial.h. References vnl_vector< double >::size().

double vnl_real_npolynomial::operator[] (  int    i )  const [inline]

Access to the polynomial coefficients. Definition at line 87 of file vnl_real_npolynomial.h.

double& vnl_real_npolynomial::operator[] (  int    i )  [inline]

Access to the polynomial coefficients. Definition at line 84 of file vnl_real_npolynomial.h.

vnl_matrix<int>& vnl_real_npolynomial::polyn (    )  [inline]

Return the vector of coefficients. Definition at line 107 of file vnl_real_npolynomial.h.

const vnl_matrix<int>& vnl_real_npolynomial::polyn (    )  const [inline]

Return the polynomial matrix. (ie specifying the variables in each product) Definition at line 103 of file vnl_real_npolynomial.h.

void vnl_real_npolynomial::set (  const vnl_vector< double > &    c, const vnl_matrix< int > &    p )

Set vector of coefficients of each product.

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Friends And Related Function Documentation

vcl_ostream& operator<< (  vcl_ostream &   , vnl_real_npolynomial const &    )  [friend]

friend class vnl_rnpoly_solve [friend]

Definition at line 49 of file vnl_real_npolynomial.h.

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The documentation for this class was generated from the following file:

• vnl_real_npolynomial.h

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