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| Polynomial Class Template Reference |
--- | --- | ---

`#include "vigra/polynomial.hxx"`

Inheritance diagram for Polynomial:

List of all members.

## Public Types

typedef BaseType::Real | Real
typedef BaseType::Complex | Complex
typedef T | value_type
typedef T * | iterator
typedef T const * | const_iterator

## Public Methods

| 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)
Polynomial & | operator= (Polynomial const &p)
Polynomial< T > | getDerivative (unsigned int n=1) const
Polynomial< T > | getDeflated (Real r) const
Polynomial< Complex > | getDeflated (Complex const &r) const

## Detailed Description

### template<class T>
class vigra::Polynomial< T >

Polynomial with internally managed array.

Most interesting functionality is inherited from vigra::PolynomialView.

See also:
  vigra::PolynomialView, vigra::StaticPolynomial, polynomialRoots()

#include "vigra/polynomial.hxx"
Namespace: vigra

## Member Typedef Documentation

typedef BaseType::Complex Complex

| Complex type associated with `RealPromote` Reimplemented from PolynomialView.

typedef T const* const_iterator

| Const iterator for the coefficient sequence Reimplemented from PolynomialView.

typedef T* iterator

| Iterator for the coefficient sequence Reimplemented from PolynomialView.

typedef BaseType::Real Real

| Scalar type associated with `RealPromote` Reimplemented from PolynomialView.

typedef T value_type

| Coefficient type of the polynomial Reimplemented from PolynomialView.

## Constructor & Destructor Documentation

Polynomial | ( | unsigned int | order = 0,
|  | double | epsilon = 1.0e-14
| ) | `[inline]`

| 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 | ) | `[inline]`

| Copy constructor

Polynomial | ( | ITER | i,
|  | unsigned int | order
| ) | `[inline]`

| Construct polynomial by copying the given coefficient sequence.

Polynomial | ( | ITER | i,
|  | unsigned int | order,
|  | double | epsilon
| ) | `[inline]`

| 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.

## Member Function Documentation

Polynomial<Complex> getDeflated | ( | Complex const & | r | ) | const`[inline]`

| 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.

Polynomial<T> getDeflated | ( | Real | r | ) | const`[inline]`

| Construct new polynomial representing this polynomial after deflation at the real root `r`.

Polynomial<T> getDerivative | ( | unsigned int | n = 1 | ) | const`[inline]`

| Construct new polynomial representing the derivative of this polynomial.

Polynomial& operator= | ( | Polynomial< T > const & | p | ) | `[inline]`

| Assigment

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

- vigra/polynomial.hxx

© Ullrich Köthe (koethe@informatik.uni-hamburg.de) Cognitive Systems Group, University of Hamburg, Germany | html generated using doxygen and Python VIGRA 1.5.0 (7 Dec 2006)