[ VIGRA Homepage | Function Index | Class Index | Namespaces | File List | Main Page ]
Polynomial< T > Class Template Reference |
#include <vigra/polynomial.hxx>
Public Member Functions | |
Polynomial< T > | getDeflated (Real r) const |
Polynomial< Complex > | getDeflated (Complex const &r) const |
Polynomial< T > | getDerivative (unsigned int n=1) const |
Polynomial & | operator= (Polynomial const &p) |
Polynomial (unsigned int order=0, double epsilon=1.0e-14) | |
Polynomial (Polynomial const &p) | |
template<class ITER > | |
Polynomial (ITER i, unsigned int order) | |
template<class ITER > | |
Polynomial (ITER i, unsigned int order, double epsilon) | |
Public Member Functions inherited from PolynomialView< T > | |
void | backwardDeflate (T v) |
iterator | begin () |
const_iterator | begin () const |
void | deflate (T const &r, unsigned int multiplicity=1) |
void | deflateConjugatePair (Complex const &v) |
void | differentiate (unsigned int n=1) |
iterator | end () |
const_iterator | end () const |
double | epsilon () const |
void | forwardBackwardDeflate (T v) |
void | forwardDeflate (T const &v) |
void | minimizeOrder (double epsilon=0.0) |
void | normalize () |
template<class V > | |
PromoteTraits< T, V >::Promote | operator() (V v) const |
T & | operator[] (unsigned int i) |
Access the coefficient of x^i. | |
T const & | operator[] (unsigned int i) const |
Access the coefficient of x^i. | |
unsigned int | order () const |
PolynomialView (T *coeffs, unsigned int order, double epsilon=1.0e-14) | |
void | setEpsilon (double eps) |
unsigned int | size () const |
Additional Inherited Members | |
Public Types inherited from PolynomialView< T > | |
typedef NumericTraits < RealPromote > ::ComplexPromote | Complex |
typedef T const * | const_iterator |
typedef T * | iterator |
typedef NumericTraits < RealPromote >::ValueType | Real |
typedef NumericTraits< T > ::RealPromote | RealPromote |
typedef T | value_type |
Polynomial with internally managed array.
Most interesting functionality is inherited from vigra::PolynomialView.
#include <vigra/polynomial.hxx>
Namespace: vigra
Polynomial | ( | unsigned int | order = 0 , |
double | epsilon = 1.0e-14 |
||
) |
Construct polynomial with given order
and all coefficients set to zero (they can be set later using operator[]
or the iterators). epsilon
(default: 1.0e-14) determines the precision of subsequent algorithms (especially root finding) performed on the polynomial.
Polynomial | ( | Polynomial< T > const & | p | ) |
Copy constructor
Polynomial | ( | ITER | i, |
unsigned int | order | ||
) |
Construct polynomial by copying the given coefficient sequence.
Polynomial | ( | ITER | i, |
unsigned int | order, | ||
double | epsilon | ||
) |
Construct polynomial by copying the given coefficient sequence. Set epsilon
(default: 1.0e-14) as the precision of subsequent algorithms (especially root finding) performed on the polynomial.
Polynomial& operator= | ( | Polynomial< T > const & | p | ) |
Assigment
Polynomial<T> getDerivative | ( | unsigned int | n = 1 | ) | const |
Construct new polynomial representing the derivative of this polynomial.
Polynomial<T> getDeflated | ( | Real | r | ) | const |
Construct new polynomial representing this polynomial after deflation at the real root r
.
Polynomial<Complex> getDeflated | ( | Complex const & | r | ) | const |
Construct new polynomial representing this polynomial after deflation at the complex root r
. The resulting polynomial will have complex coefficients, even if this polynomial had real ones.
© Ullrich Köthe (ullrich.koethe@iwr.uni-heidelberg.de) |
html generated using doxygen and Python
|