CAPD DynSys Library
5.2.0
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#include <capd/pdes/C0DoubletonSetGeometricTail.h>
Public Types | |
typedef capd::pdes::GeometricBound | VectorType |
typedef VectorType::MatrixType | MatrixType |
typedef MatrixType::RowVectorType | FiniteVectorType |
typedef MatrixType::ScalarType | ScalarType |
typedef MatrixType::size_type | size_type |
typedef BaseT | FiniteDimensionalBaseSet |
typedef capd::dynset::C0Set< MatrixType >::SetType | SetType |
typedef capd::pdes::PdeSolver< VectorType > | DynSysType |
typedef capd::dynset::DoubletonData< MatrixType > | Data |
typedef FiniteDimensionalBaseSet::Policy | Policy |
typedef capd::vectalg::Norm< VectorType, MatrixType > | NormType |
typedef capd::geomset::CenteredDoubletonSet< GeometricBound::MatrixType > | BaseSet |
typedef BaseSet::ColumnVectorType | ColumnVectorType |
typedef MatrixType::template rebind< typename ScalarType::BoundType >::other | RealMatrix |
typedef VectorType::template rebind< typename ScalarType::BoundType >::other | RealVector |
Public Member Functions | |
C0DoubletonSetGeometricTail (const VectorType &x, ScalarType t=TypeTraits< ScalarType >::zero()) | |
C0DoubletonSetGeometricTail (const VectorType &x, const FiniteVectorType &r0, ScalarType t=TypeTraits< ScalarType >::zero()) | |
C0DoubletonSetGeometricTail (const VectorType &x, const MatrixType &C, const FiniteVectorType &r0, ScalarType t=TypeTraits< ScalarType >::zero()) | |
C0DoubletonSetGeometricTail (const VectorType &x, const MatrixType &C, const FiniteVectorType &r0, const MatrixType &B, const FiniteVectorType &r, ScalarType t=TypeTraits< ScalarType >::zero()) | |
void | initMove (C0DoubletonSetGeometricTail &result) const |
void | finalizeMove (C0DoubletonSetGeometricTail &result) const |
void | move (DynSysType &dynsys) |
computes image of the set after one step/iterate of the dynamical system More... | |
void | move (DynSysType &dynsys, C0DoubletonSetGeometricTail &result) const |
computes image of the set after one step/iterate of the dynamical system and stores it in result More... | |
template<class Functional > | |
ScalarType | evalAt (const Functional &f) const |
This method computes value of functor f at interval vector represented by this set. More... | |
VectorType | affineTransformation (const MatrixType &A, const VectorType &c) const |
operator VectorType () const | |
std::string | name () const |
const VectorType & | getCurrentSeries () const |
void | setLastEnclosure (const VectorType &enc) |
const VectorType & | getLastEnclosure () const |
void | move (DynSysType &dynsys) |
computes image of the set after one step/iterate of the dynamical system More... | |
void | move (DynSysType &dynsys, C0DoubletonSet &result) const |
computes image of the set after one step/iterate of the dynamical system and stores it in result More... | |
virtual void | move (DynSysType &dynsys)=0 |
computes image of the set after one step/iterate of the dynamical system More... | |
std::string | show () const |
std::string | name () const |
returns set's name More... | |
template<class Vector > | |
bool | isReorganizationNeeded (const Vector &r, const Vector &r0) const |
template<class SetType > | |
bool | isReorganizationNeeded (const SetType &result) const |
template<class SetType > | |
bool | reorganizeIfNeeded (SetType &result) const |
makes reorganization if needed. More... | |
template<class Matrix1 , class Matrix2 , class Vector > | |
bool | reorganizeIfNeeded (Matrix1 &B, Matrix2 &invB, Vector &r, Matrix1 &C, Vector &r0) const |
template<class SetType > | |
bool | isC1ReorganizationNeeded (const SetType &result) const |
template<class Matrix > | |
bool | isC1ReorganizationNeeded (const Matrix &R, const Matrix &R0) const |
template<class Matrix > | |
bool | reorganizeC1IfNeeded (Matrix &B, Matrix &invB, Matrix &R, Matrix &C, Matrix &R0) const |
template<class SetType > | |
bool | reorganizeC1IfNeeded (SetType &result) const |
makes reorganization if needed. return true if reorganization was performed More... | |
template<class HessianT > | |
bool | isC2ReorganizationNeeded (const HessianT &R, const HessianT &R0) const |
template<class MatrixT , class HessianT > | |
bool | reorganizeC2IfNeeded (MatrixT &B, MatrixT &invB, HessianT &R, MatrixT &C, HessianT &R0) const |
template<class Matrix , class Hessian > | |
bool | reorganizeC2IfNeeded (Matrix &, Matrix &, Hessian &, Matrix &, Hessian &) const |
void | reorganize (SetType &result) const |
void | reorganize (Matrix1 &B, Matrix2 &invB, Vector &r, Matrix1 &C, Vector &r0) const |
void | reorganizeC1 (SetType &result) const |
void | reorganizeC1 (Matrix &B, Matrix &invB, Matrix &R, Matrix &C, Matrix &R0) const |
void | reorganizeC2 (Matrix &B, Matrix &invB, HessianT &R, Matrix &C, HessianT &R0) const |
void | setFactor (double A_factor) |
sets c0,c1,c2 factors to new value More... | |
void | setC0Factor (double A_factor) |
sets new value of c0Factor; More... | |
void | setC1Factor (double A_factor) |
sets new value of c1Factor; More... | |
void | setC2Factor (double A_factor) |
sets new value of c2Factor; More... | |
double | getC0Factor () const |
returns current value of c0Factor; More... | |
double | getC1Factor () const |
returns current value of c1Factor; More... | |
double | getC2Factor () const |
returns current value of c2Factor; More... | |
void | onoffReorganization (bool flag) |
sets the flag which controls possibility of reorganization to new value More... | |
bool | isReorganizationEnabled () const |
returns current value of the flag which controls possibility of reorganization More... | |
std::string | toString () const |
std::string | toString () const |
std::string | toString () const |
returns set detailed information More... | |
template<class VectorT , class MatrixT > | |
void | computeBinvB (MatrixT &B, MatrixT &invB, const VectorT &) const |
void | disableReorganization () |
const ScalarType | getCurrentTime () const |
ScalarType & | refCurrentTime () |
void | setCurrentTime (const ScalarType &t) |
const GeometricBound::MatrixType ::RowVectorType & | getLastEnclosure () const |
virtual | operator GeometricBound::MatrixType ::RowVectorType () const |
returns an enclosure of the set in the canonical coordinates More... | |
void | setCurrentSet (const GeometricBound::MatrixType ::RowVectorType &x) |
virtual | operator VectorType () const=0 |
operator VectorType () const | |
virtual VectorType | affineTransformation (const MatrixType &M, const VectorType &x0) const |
This method computes value of an affine map f at interval vector represented by this set. This set is represented as tripleton X=x+C*r0+intersection(B*r,Q*q). Then f(X) = M*(X-x0) can be computed as M*(x-x0) + (M*C)*r0 + intersection( M*B)*r, (M*Q)*q ) More... | |
virtual ScalarType | evalAffineFunctional (const VectorType &gradient, const VectorType &x0) const |
This method computes value of an affine functional f at the vector represented by this set. This set is represented as doubleton X=x+C*r0+B*r. Then f(X) = grad*(X-x0) can be computed as grad*(x-x0) + (grad*C)*r0 + (grad*B)*r. More... | |
size_type | dimension () const |
returns dimension of a set More... | |
const VectorType & | get_x () const |
const ScalarType & | getElement_x (int i) const |
void | set_x (const VectorType &x) |
void | setElement_x (size_type i, const ScalarType &s) |
const VectorType & | get_r () const |
const ScalarType & | getElement_r (size_type i) const |
void | set_r (const VectorType &r) |
void | setElement_r (size_type i, const ScalarType &s) |
const MatrixType & | get_B () const |
const MatrixType & | get_invB () const |
void | setToIdentity () |
const ScalarType & | getElement_B (size_type i, size_type j) const |
VectorType | getRow_B (size_type i) const |
ColumnVectorType | getColumn_B (size_type j) const |
void | set_B (const MatrixType &B) |
void | set_invB (const MatrixType &B) |
void | setElement_B (size_type i, size_type j, const ScalarType &s) |
void | setRow_B (size_type i, const VectorT &v) |
void | setColumn_B (size_type j, const VectorT &v) |
Static Public Member Functions | |
static void | move (const BaseSet &set, BaseSet &result, VectorType &bound, Data &data) |
this computes next representation of the set given computed one-step enclosure of the form y + jacPhi*deltaX + rem More... | |
const static size_type | degree () |
Public Attributes | |
VectorType | m_enc |
VectorType | m_currentSeries |
VectorType | m_tmp |
MatrixType | m_C |
C is a coordinate system of the 'Lipschitz' part. More... | |
VectorType | m_r0 |
r0 is a interval set in given coordinate system that represents 'Lipschitz' part More... | |
VectorType | m_x |
x is a center of the set More... | |
MatrixType | m_B |
B is a coordinate system. More... | |
MatrixType | m_invB |
VectorType | m_r |
r is a interval set in given coordinate system More... | |
VectorType | x |
VectorType | deltaX |
VectorType | y |
VectorType | deltaY |
VectorType | rem |
VectorType | enc |
MatrixType | jacPhi |
MatrixType | deltaC |
MatrixType | B |
Protected Member Functions | |
void | setLastEnclosure (const GeometricBound::MatrixType ::RowVectorType &enc) |
Protected Attributes | |
double | m_c0Factor |
double | m_c1Factor |
double | m_c2Factor |
bool | m_onoff |
ScalarType | m_currentTime |
GeometricBound::MatrixType ::RowVectorType | m_currentSet |
GeometricBound::MatrixType ::RowVectorType | m_lastEnclosure |
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typedef capd::dynset::DoubletonData<MatrixType> capd::pdes::C0DoubletonSetGeometricTail< BaseT >::Data |
typedef capd::pdes::PdeSolver<VectorType> capd::pdes::C0DoubletonSetGeometricTail< BaseT >::DynSysType |
typedef BaseT capd::pdes::C0DoubletonSetGeometricTail< BaseT >::FiniteDimensionalBaseSet |
typedef MatrixType::RowVectorType capd::pdes::C0DoubletonSetGeometricTail< BaseT >::FiniteVectorType |
typedef VectorType::MatrixType capd::pdes::C0DoubletonSetGeometricTail< BaseT >::MatrixType |
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typedef FiniteDimensionalBaseSet::Policy capd::pdes::C0DoubletonSetGeometricTail< BaseT >::Policy |
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typedef MatrixType::ScalarType capd::pdes::C0DoubletonSetGeometricTail< BaseT >::ScalarType |
typedef capd::dynset::C0Set<MatrixType>::SetType capd::pdes::C0DoubletonSetGeometricTail< BaseT >::SetType |
typedef MatrixType::size_type capd::pdes::C0DoubletonSetGeometricTail< BaseT >::size_type |
typedef capd::pdes::GeometricBound capd::pdes::C0DoubletonSetGeometricTail< BaseT >::VectorType |
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This method computes value of an affine map f at interval vector represented by this set. This set is represented as tripleton X=x+C*r0+intersection(B*r,Q*q). Then f(X) = M*(X-x0) can be computed as M*(x-x0) + (M*C)*r0 + intersection( M*B)*r, (M*Q)*q )
Reimplemented from capd::geomset::AffineSet< GeometricBound::MatrixType >.
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returns dimension of a set
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This method computes value of an affine functional f at the vector represented by this set. This set is represented as doubleton X=x+C*r0+B*r. Then f(X) = grad*(X-x0) can be computed as grad*(x-x0) + (grad*C)*r0 + (grad*B)*r.
Reimplemented from capd::geomset::AffineSet< GeometricBound::MatrixType >.
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This method computes value of functor f at interval vector represented by this set.
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returns current value of c0Factor;
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returns current value of c1Factor;
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returns current value of c2Factor;
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returns current value of the flag which controls possibility of reorganization
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this computes next representation of the set given computed one-step enclosure of the form y + jacPhi*deltaX + rem
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computes image of the set after one step/iterate of the dynamical system
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computes image of the set after one step/iterate of the dynamical system
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computes image of the set after one step/iterate of the dynamical system
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computes image of the set after one step/iterate of the dynamical system and stores it in result
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returns set's name
Reimplemented from capd::geomset::CenteredDoubletonSet< GeometricBound::MatrixType >.
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sets the flag which controls possibility of reorganization to new value
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returns an enclosure of the set in the canonical coordinates
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makes reorganization if needed. return true if reorganization was performed
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makes reorganization if needed.
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sets new value of c0Factor;
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sets new value of c1Factor;
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sets new value of c2Factor;
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sets c0,c1,c2 factors to new value
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returns set detailed information
Reimplemented from capd::geomset::AffineSet< GeometricBound::MatrixType >.
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B is a coordinate system.
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C is a coordinate system of the 'Lipschitz' part.
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VectorType capd::pdes::C0DoubletonSetGeometricTail< BaseT >::m_currentSeries |
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VectorType capd::pdes::C0DoubletonSetGeometricTail< BaseT >::m_enc |
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r is a interval set in given coordinate system
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r0 is a interval set in given coordinate system that represents 'Lipschitz' part
VectorType capd::pdes::C0DoubletonSetGeometricTail< BaseT >::m_tmp |
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x is a center of the set
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