Truncate power series map. More...
#include <Tps.h>
Public Member Functions | |
| VpsMap (int nDim, int nVar) | |
| Constructor. More... | |
| VpsMap (const Vps< T > &rhs) | |
| Convert. More... | |
| VpsMap (int nDim, const Tps< T > rhs[]) | |
| Constructor. More... | |
| VpsMap (const Matrix< T > &M) | |
| Convert. More... | |
| VpsMap (const Vector< T > &V) | |
| Convert. More... | |
| VpsMap () | |
| VpsMap (const VpsMap< T > &rhs) | |
| ~VpsMap () | |
| VpsMap< T > & | operator= (const VpsMap< T > &y) |
| VpsMap< T > | substitute (const VpsMap< T > &vv) const |
| Substitute. More... | |
| VpsMap< T > | substitute (const Matrix< T > &M) const |
| Substitute. More... | |
| VpsMap< T > | substitute (const VpsMap< T > &y, int trunc) const |
| Substitute and truncate. More... | |
| VpsMap< T > | substituteInto (const Matrix< T > &x) const |
| Substitute. More... | |
| Vector< T > | constantTerm (const Vector< T > &y) const |
| Evaluate map at point. More... | |
| Vector< T > | constantTerm () const |
| Evaluate map at origin. More... | |
| Matrix< T > | linearTerms (const Vector< T > &y) const |
| Extract linear terms at point. More... | |
| Matrix< T > | linearTerms () const |
| Extract linear terms at origin. More... | |
| VpsMap< T > | derivative (int var) const |
| Derivative with respect to variable [b]var[/b]. More... | |
| VpsMap< T > | integral (int var) const |
| Integral with respect to variable [b]var[/b]. More... | |
 Public Member Functions inherited from Vps< T > | |
| Vps (int nDim, int nVar=0) | |
| Constructor. More... | |
| Vps (const Matrix< T > &M) | |
| Convert. More... | |
| Vps (const Vector< T > &V) | |
| Convert from vector. More... | |
| Vps () | |
| Vps (const Vps< T > &rhs) | |
| ~Vps () | |
| Vps< T > & | operator= (const Vps< T > &) |
| const Tps< T > & | getComponent (int index) const |
| Get component. More... | |
| void | setComponent (int index, const Tps< T > &value) |
| Set component. More... | |
| Tps< T > & | operator[] (int index) |
| Get component. More... | |
| const Tps< T > & | operator[] (int index) const |
| Set component. More... | |
| void | check () const |
| Check consistency. More... | |
| Vps< T > | operator+ () const |
| Unary plus. More... | |
| Vps< T > | operator- () const |
| Unary minus. More... | |
| Vps< T > & | operator*= (const Tps< T > &y) |
| Multiply by Tps<T> and assign. More... | |
| Vps< T > & | operator/= (const Tps< T > &y) |
| Divide by Tps<T> and assign. More... | |
| Vps< T > & | operator*= (const T &y) |
| Multiply by constant and assign. More... | |
| Vps< T > & | operator/= (const T &y) |
| Divide by constant and assign. More... | |
| Vps< T > & | operator+= (const Vps< T > &y) |
| Addition. More... | |
| Vps< T > & | operator-= (const Vps< T > &y) |
| Subtraction. More... | |
| Vps< T > & | operator+= (const Vector< T > &y) |
| Add and assign. More... | |
| Vps< T > & | operator-= (const Vector< T > &y) |
| Subtract and assign. More... | |
| std::istream & | get (std::istream &is) |
| Get a Vps<T> from stream is. More... | |
| std::ostream & | put (std::ostream &os) const |
| Put a Vps<T> to stream os. More... | |
| int | getDimension () const |
| Get dimension (number of Tps<T> components). More... | |
| int | getTopOrder () const |
| Get highest order contained in any component. More... | |
| int | getTruncOrder () const |
| Get lowest truncation order in any component. More... | |
| int | getVariables () const |
| Get number of variables (the same in all components). More... | |
| Vps< T > | filter (int lowOrder, int highOrder) const |
| Extract range of orders, set others to zero. More... | |
| Vps< T > | truncate (int trunc) |
| Truncate, may also increase truncation order. More... | |
Additional Inherited Members | |
| Protected Attributes inherited from Vps< T > | |
| Array1D< Tps< T > > | data |
| int | variables |
Detailed Description
Constructor & Destructor Documentation
Member Function Documentation
Evaluate map at point.
Definition at line 233 of file VpsMap.h.
References TpsData::getSubTable(), TpsData::getTpsData(), TpsSubstitution::index, TpsSubstitution::order, Array1D< T >::size(), TpsSubstitution::skip, T, and TpsSubstitution::variable.
Referenced by DynamicFixedPoint::DynamicFixedPoint(), and StaticFixedPoint::StaticFixedPoint().
Derivative with respect to variable [b]var[/b].
Definition at line 302 of file VpsMap.h.
References VpsMap< T >::derivative().
Referenced by VpsMap< T >::derivative().
Integral with respect to variable [b]var[/b].
Definition at line 314 of file VpsMap.h.
References VpsMap< T >::integral().
Referenced by VpsMap< T >::integral().
Extract linear terms at point.
Definition at line 274 of file VpsMap.h.
References Array2D< T >::ncols(), and Array2D< T >::nrows().
Referenced by DynamicFixedPoint::DynamicFixedPoint(), NormalForm::NormalForm(), and StaticFixedPoint::StaticFixedPoint().
Definition at line 214 of file VpsMap.h.
References Vps< T >::operator=().
Referenced by VpsInvMap< T >::operator=().
Substitute.
Definition at line 221 of file VpsMap.h.
Referenced by DynamicFixedPoint::DynamicFixedPoint(), NormalForm::NormalForm(), and StaticFixedPoint::StaticFixedPoint().
Substitute and truncate.
Definition at line 326 of file VpsMap.h.
References Vps< T >::check(), Vps< T >::data, Vps< T >::getDimension(), TpsData::getSubTable(), TpsData::getTpsData(), TpsSubstitution::index, min(), TpsSubstitution::order, Array1D< T >::size(), TpsSubstitution::skip, T, and TpsSubstitution::variable.
Substitute.
Definition at line 371 of file VpsMap.h.
References Array2D< T >::ncols(), and Array2D< T >::nrows().
Referenced by operator*().
The documentation for this class was generated from the following files:
