capd::diffAlgebra::BaseSolutionCurve< CurveT > Class Template Referenceabstract
This file defines class that represents parametric curve in 
.
More...
#include <capd/diffAlgebra/SolutionCurve.h>
Public Types | |
| typedef CurveT | BaseCurve |
| typedef BaseCurve::MatrixType | MatrixType |
| typedef MatrixType::RowVectorType | VectorType |
| typedef MatrixType::ScalarType | ScalarType |
| typedef TypeTraits< ScalarType >::Real | Real |
| typedef Hessian< ScalarType, VectorType::csDim, VectorType::csDim > | HessianType |
| typedef Jet< MatrixType, 0 > | JetType |
| typedef std::vector< BaseCurve * > | CurveContainer |
| typedef std::vector< ScalarType > | Domain |
Public Member Functions | |
| BaseSolutionCurve (ScalarType leftDomain) | |
| BaseSolutionCurve (const BaseSolutionCurve< CurveT > &solution_curve) | |
| BaseSolutionCurve & | operator= (const BaseSolutionCurve< CurveT > &solution_curve) |
| ~BaseSolutionCurve () | |
| Real | getLeftDomain () const |
| Real | getRightDomain () const |
| virtual void | add (const BaseCurve &c) |
| CurveContainer::size_type | getNumberOfPieces () const |
| virtual VectorType | operator() (const ScalarType &h) const=0 |
| virtual MatrixType | derivative (const ScalarType &h) const=0 |
| virtual MatrixType | operator[] (const ScalarType &h) const=0 |
| virtual HessianType | hessian (const ScalarType &) const |
| virtual JetType | jet (const ScalarType &) const |
| virtual void | eval (ScalarType, JetType &) const |
| virtual void | setDomain (Real left, Real right) |
Protected Attributes | |
| Domain | domain |
| CurveContainer | pieces |
| Real | m_left |
| Real | m_right |
| domain More... | |
Detailed Description
template<class CurveT>
class capd::diffAlgebra::BaseSolutionCurve< CurveT >
This file defines class that represents parametric curve in .
Internally it is represented by piecewise polynomial approximation.
In can also store higher order partial derivatives with respect to space variables, i.e.
c(t,x) can be a polynomial both with respect to main parameterization variable 't' and space variable 'x'.
The curve can be evaluated at given time 't' as well as differentiated with respect to 't'.
The curve can store rigorous enclosures of curves. They are represented using mean value form to reduce some wrapping effect.
The main template parameter is an abstract class that represent a piece of curve as one polynomial.
Member Typedef Documentation
◆ BaseCurve
template<class CurveT >
| typedef CurveT capd::diffAlgebra::BaseSolutionCurve< CurveT >::BaseCurve |
◆ CurveContainer
template<class CurveT >
| typedef std::vector<BaseCurve*> capd::diffAlgebra::BaseSolutionCurve< CurveT >::CurveContainer |
◆ Domain
template<class CurveT >
| typedef std::vector<ScalarType> capd::diffAlgebra::BaseSolutionCurve< CurveT >::Domain |
◆ HessianType
template<class CurveT >
| typedef Hessian<ScalarType,VectorType::csDim,VectorType::csDim> capd::diffAlgebra::BaseSolutionCurve< CurveT >::HessianType |
◆ JetType
template<class CurveT >
| typedef Jet<MatrixType,0> capd::diffAlgebra::BaseSolutionCurve< CurveT >::JetType |
◆ MatrixType
template<class CurveT >
| typedef BaseCurve::MatrixType capd::diffAlgebra::BaseSolutionCurve< CurveT >::MatrixType |
◆ Real
template<class CurveT >
| typedef TypeTraits<ScalarType>::Real capd::diffAlgebra::BaseSolutionCurve< CurveT >::Real |
◆ ScalarType
template<class CurveT >
| typedef MatrixType::ScalarType capd::diffAlgebra::BaseSolutionCurve< CurveT >::ScalarType |
◆ VectorType
template<class CurveT >
| typedef MatrixType::RowVectorType capd::diffAlgebra::BaseSolutionCurve< CurveT >::VectorType |
Constructor & Destructor Documentation
◆ BaseSolutionCurve() [1/2]
template<class CurveT >
|
inline |
◆ BaseSolutionCurve() [2/2]
template<class CurveT >
|
inline |
◆ ~BaseSolutionCurve()
template<class CurveT >
|
inline |
Member Function Documentation
◆ add()
template<class CurveT >
|
inlinevirtual |
◆ derivative()
|
pure virtualinherited |
◆ eval()
|
inlinevirtualinherited |
Reimplemented in capd::diffAlgebra::SolutionCurve< CurveT, isInterval >.
◆ getLeftDomain()
template<class CurveT >
|
inlinevirtual |
Reimplemented from capd::diffAlgebra::ParametricCurve< CurveT::MatrixType >.
◆ getNumberOfPieces()
template<class CurveT >
|
inline |
◆ getRightDomain()
template<class CurveT >
|
inlinevirtual |
Reimplemented from capd::diffAlgebra::ParametricCurve< CurveT::MatrixType >.
◆ hessian()
|
inlinevirtualinherited |
◆ jet()
|
inlinevirtualinherited |
Reimplemented in capd::diffAlgebra::SolutionCurve< CurveT, isInterval >.
◆ operator()()
|
pure virtualinherited |
◆ operator=()
template<class CurveT >
|
inline |
◆ operator[]()
|
pure virtualinherited |
◆ setDomain()
|
inlinevirtualinherited |
Member Data Documentation
◆ domain
template<class CurveT >
|
protected |
◆ m_left
|
protectedinherited |
◆ m_right
|
protectedinherited |
domain
◆ pieces
template<class CurveT >
|
protected |
The documentation for this class was generated from the following file:
- capd/diffAlgebra/SolutionCurve.h
