CAPD::DynSys Library
6.0.0
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The set is represented as doubleton: x + C*r0 + B*r; and is moved by the following method. More...
#include <capd/dynset/C0DoubletonSet.h>
Public Types | |
typedef MatrixT | MatrixType |
typedef MatrixType::RowVectorType | VectorType |
typedef MatrixType::ScalarType | ScalarType |
typedef MatrixType::size_type | size_type |
typedef capd::vectalg::Norm< VectorType, MatrixType > | NormType |
typedef capd::geomset::CenteredDoubletonSet< MatrixT > | BaseSet |
typedef C0Set< MatrixT >::SetType | SetType |
typedef C0Set< MatrixT >::DynSysType | DynSysType |
typedef DoubletonData< MatrixT > | Data |
typedef Policies | Policy |
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 | |
C0DoubletonSet (const BaseSet &set, ScalarType t) | |
C0DoubletonSet (const VectorType &x, ScalarType t=TypeTraits< ScalarType >::zero()) | |
C0DoubletonSet (const VectorType &x, const VectorType &r0, ScalarType t=TypeTraits< ScalarType >::zero()) | |
C0DoubletonSet (const VectorType &x, const MatrixType &C, const VectorType &r0, ScalarType t=TypeTraits< ScalarType >::zero()) | |
C0DoubletonSet (const VectorType &x, const MatrixType &C, const VectorType &r0, const VectorType &r, ScalarType t=TypeTraits< ScalarType >::zero()) | |
C0DoubletonSet (const VectorType &x, const MatrixType &C, const VectorType &r0, const MatrixType &B, const VectorType &r, ScalarType t=TypeTraits< ScalarType >::zero()) | |
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... | |
template<class Functional > | |
ScalarType | evalAt (const Functional &f) const |
This method computes value of functor f at interval vector represented by this set. More... | |
std::string | show () const |
returns a set detailed information More... | |
std::string | name () const |
returns set's name More... | |
const ScalarType | getCurrentTime () const |
ScalarType & | refCurrentTime () |
void | setCurrentTime (const ScalarType &t) |
const MatrixT::RowVectorType & | getLastEnclosure () const |
virtual | operator MatrixT::RowVectorType () const |
returns an enclosure of the set in the canonical coordinates More... | |
void | setCurrentSet (const MatrixT::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... | |
std::string | toString () const |
returns set detailed information More... | |
const VectorType & | get_r0 () const |
returns r0 More... | |
const ScalarType & | getElement_r0 (size_type i) const |
returns i-th coordinate of r0 More... | |
void | set_r0 (const VectorType &r) |
sets r0 More... | |
void | setElement_r0 (size_type i, const ScalarType &s) |
sets i-th coordinate of r0 More... | |
const MatrixType & | get_C () const |
returns matrix C More... | |
const ScalarType & | getElement_C (size_type i, size_type j) const |
returns element C[i][j] More... | |
VectorType | getRow_C (size_type i) const |
returns i-th row of C More... | |
ColumnVectorType | getColumn_C (size_type j) const |
returns j-th column of C More... | |
void | set_C (const MatrixType &B) |
sets matrix C:= B More... | |
void | setElement_C (size_type i, size_type j, const ScalarType &s) |
sets C[i][j] := s More... | |
template<typename VectorT > | |
void | setRow_C (size_type i, const VectorT &v) |
sets i-th row of C to v More... | |
template<typename VectorT > | |
void | setColumn_C (size_type j, const VectorT &v) |
sets j-th columne of C to v 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) |
template<typename VectorT > | |
void | setRow_B (size_type i, const VectorT &v) |
template<typename VectorT > | |
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... | |
static const size_type | degree () |
Public Attributes | |
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 MatrixT::RowVectorType &enc) |
Protected Attributes | |
ScalarType | m_currentTime |
MatrixT::RowVectorType | m_currentSet |
MatrixT::RowVectorType | m_lastEnclosure |
The set is represented as doubleton: x + C*r0 + B*r; and is moved by the following method.
internal representation : C*r0 - basic 'Lipschitz part' B*r - depending on the QRPolicy
typedef capd::geomset::CenteredDoubletonSet<MatrixT> capd::dynset::C0DoubletonSet< MatrixT, Policies >::BaseSet |
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typedef DoubletonData<MatrixT> capd::dynset::C0DoubletonSet< MatrixT, Policies >::Data |
typedef C0Set<MatrixT>::DynSysType capd::dynset::C0DoubletonSet< MatrixT, Policies >::DynSysType |
typedef MatrixT capd::dynset::C0DoubletonSet< MatrixT, Policies >::MatrixType |
typedef capd::vectalg::Norm<VectorType,MatrixType> capd::dynset::C0DoubletonSet< MatrixT, Policies >::NormType |
typedef Policies capd::dynset::C0DoubletonSet< MatrixT, Policies >::Policy |
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typedef MatrixType::ScalarType capd::dynset::C0DoubletonSet< MatrixT, Policies >::ScalarType |
typedef C0Set<MatrixT>::SetType capd::dynset::C0DoubletonSet< MatrixT, Policies >::SetType |
typedef MatrixType::size_type capd::dynset::C0DoubletonSet< MatrixT, Policies >::size_type |
typedef MatrixType::RowVectorType capd::dynset::C0DoubletonSet< MatrixT, Policies >::VectorType |
capd::dynset::C0DoubletonSet< MatrixType, Policies >::C0DoubletonSet | ( | const BaseSet & | set, |
ScalarType | t | ||
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capd::dynset::C0DoubletonSet< MatrixType, Policies >::C0DoubletonSet | ( | const VectorType & | x, |
ScalarType | t = TypeTraits<ScalarType>::zero() |
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capd::dynset::C0DoubletonSet< MatrixType, Policies >::C0DoubletonSet | ( | const VectorType & | x, |
const VectorType & | r0, | ||
ScalarType | t = TypeTraits<ScalarType>::zero() |
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capd::dynset::C0DoubletonSet< MatrixType, Policies >::C0DoubletonSet | ( | const VectorType & | x, |
const MatrixType & | C, | ||
const VectorType & | r0, | ||
ScalarType | t = TypeTraits<ScalarType>::zero() |
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capd::dynset::C0DoubletonSet< MatrixType, Policies >::C0DoubletonSet | ( | const VectorType & | x, |
const MatrixType & | C, | ||
const VectorType & | r0, | ||
const VectorType & | r, | ||
ScalarType | t = TypeTraits<ScalarType>::zero() |
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capd::dynset::C0DoubletonSet< MatrixType, Policies >::C0DoubletonSet | ( | const VectorType & | x, |
const MatrixType & | C, | ||
const VectorType & | r0, | ||
const MatrixType & | B, | ||
const VectorType & | r, | ||
ScalarType | t = TypeTraits<ScalarType>::zero() |
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inlinestaticinherited |
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inlineinherited |
returns dimension of a set
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inline |
This method computes value of functor f at interval vector represented by this set.
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inlineinherited |
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returns matrix C
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returns r0
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returns j-th column of C
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inlineinherited |
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returns element C[i][j]
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returns i-th coordinate of r0
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inlineinherited |
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inlineinherited |
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inlineinherited |
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returns i-th row of C
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static |
this computes next representation of the set given computed one-step enclosure of the form y + jacPhi*deltaX + rem
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virtual |
computes image of the set after one step/iterate of the dynamical system
Implements capd::dynset::C0Set< MatrixT >.
void capd::dynset::C0DoubletonSet< MatrixType, Policies >::move | ( | DynSysType & | dynsys, |
C0DoubletonSet< MatrixT, Policies > & | result | ||
) | const |
computes image of the set after one step/iterate of the dynamical system and stores it in result
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inlinevirtual |
returns set's name
Reimplemented from capd::geomset::CenteredDoubletonSet< MatrixT >.
Reimplemented in capd::dynset::C0HODoubletonSet< MatrixT, Policies >.
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inlinevirtualinherited |
returns an enclosure of the set in the canonical coordinates
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pure virtualinherited |
Implemented in capd::pdes::C0HODoubletonSetGeometricTail< BaseSetT >, capd::pdes::C0DoubletonSetGeometricTail< BaseT >, capd::pdes::C0DoubletonSetGeometricTail< capd::dynset::C1DoubletonSet< GeometricBound< capd::interval >::MatrixType, Policies > >, capd::dynset::CnSet< MatrixT, DEGREE >, capd::dynset::CnSet< MatrixT, 0 >, capd::dynset::C1GraphicalSet< MatrixT, OutputClass >, and capd::dynset::C11Rect2< MatrixT, QRPolicy >.
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sets matrix C:= B
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sets r0
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sets j-th columne of C to v
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sets C[i][j] := s
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sets i-th coordinate of r0
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inlineprotectedinherited |
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sets i-th row of C to v
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virtual |
returns a set detailed information
Implements capd::dynset::AbstractSet< MatrixT::RowVectorType >.
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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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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
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x is a center of the set