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StaticPolynomial< MAXORDER, T > Class Template Reference | ![]() |
#include <vigra/polynomial.hxx>
Public Member Functions | |
| StaticPolynomial | getDeflated (Real r) const |
| StaticPolynomial< MAXORDER, Complex > | getDeflated (Complex const &r) const |
| StaticPolynomial | getDerivative (unsigned int n=1) const |
| StaticPolynomial & | operator= (StaticPolynomial const &p) |
| StaticPolynomial (unsigned int order=0, double epsilon=1.0e-14) | |
| StaticPolynomial (StaticPolynomial const &p) | |
| template<class ITER > | |
| StaticPolynomial (ITER i, unsigned int order) | |
| template<class ITER > | |
| StaticPolynomial (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 of static length.
Most interesting functionality is inherited from vigra::PolynomialView. This class differs from vigra::Polynomial in that it allocates its memory statically which is much faster. Therefore, StaticPolynomial can only represent polynomials up to the given MAXORDER.
#include <vigra/polynomial.hxx>
Namespace: vigra
| StaticPolynomial | ( | unsigned int | order = 0, |
| double | epsilon = 1.0e-14 |
||
| ) |
Construct polynomial with given order <= MAXORDER 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.
| StaticPolynomial | ( | StaticPolynomial< MAXORDER, T > const & | p | ) |
Copy constructor
| StaticPolynomial | ( | ITER | i, |
| unsigned int | order | ||
| ) |
Construct polynomial by copying the given coefficient sequence. order <= MAXORDER is required.
| StaticPolynomial | ( | ITER | i, |
| unsigned int | order, | ||
| double | epsilon | ||
| ) |
Construct polynomial by copying the given coefficient sequence. order <= MAXORDER is required. Set epsilon (default: 1.0e-14) as the precision of subsequent algorithms (especially root finding) performed on the polynomial.
| StaticPolynomial& operator= | ( | StaticPolynomial< MAXORDER, T > const & | p | ) |
Assigment.
| StaticPolynomial getDerivative | ( | unsigned int | n = 1 | ) | const |
Construct new polynomial representing the derivative of this polynomial.
| StaticPolynomial getDeflated | ( | Real | r | ) | const |
Construct new polynomial representing this polynomial after deflation at the real root r.
| StaticPolynomial<MAXORDER, 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.
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© Ullrich Köthe (ullrich.koethe@iwr.uni-heidelberg.de) |
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