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|   | 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)  | 
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