aligator
0.10.0
A primal-dual augmented Lagrangian-type solver for nonlinear trajectory optimization.
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Semi-implicit Euler integrator \( x_{k+1} = x_k \oplus h f(x_k, u_k)\). More...
#include <aligator/modelling/dynamics/integrator-semi-euler.hpp>
Public Types | |
using | Scalar = _Scalar |
using | Base = ExplicitIntegratorAbstractTpl<Scalar> |
using | BaseData = ExplicitDynamicsDataTpl<Scalar> |
using | Data = IntegratorSemiImplDataTpl<Scalar> |
using | ODEType = ODEAbstractTpl<Scalar> |
Public Types inherited from aligator::dynamics::ExplicitIntegratorAbstractTpl< _Scalar > | |
using | Scalar = _Scalar |
using | ODEType = ODEAbstractTpl<Scalar> |
using | Base = ExplicitDynamicsModelTpl<Scalar> |
using | Data = ExplicitIntegratorDataTpl<Scalar> |
using | Manifold = ManifoldAbstractTpl<Scalar> |
Public Types inherited from aligator::ExplicitDynamicsModelTpl< _Scalar > | |
using | Scalar |
using | Base |
using | BaseData |
using | Data |
using | Manifold |
using | ManifoldPtr |
Public Types inherited from aligator::DynamicsModelTpl< _Scalar > | |
using | Scalar |
using | Data |
using | Manifold |
Public Member Functions | |
ALIGATOR_DYNAMIC_TYPEDEFS (Scalar) | |
IntegratorSemiImplEulerTpl (const xyz::polymorphic< ODEType > &cont_dynamics, const Scalar timestep) | |
void | forward (const ConstVectorRef &x, const ConstVectorRef &u, BaseData &data) const |
void | dForward (const ConstVectorRef &x, const ConstVectorRef &u, BaseData &data) const |
shared_ptr< DynamicsDataTpl< Scalar > > | createData () const |
Public Member Functions inherited from aligator::dynamics::ExplicitIntegratorAbstractTpl< _Scalar > | |
template<typename U > | |
U * | getDynamics () |
template<typename U > | |
const U * | getDynamics () const |
ExplicitIntegratorAbstractTpl (const xyz::polymorphic< ODEType > &cont_dynamics) | |
virtual | ~ExplicitIntegratorAbstractTpl ()=default |
void | computeJacobians (const ConstVectorRef &x, const ConstVectorRef &u, const ConstVectorRef &y, BaseData &data) const |
void | evaluate (const ConstVectorRef &x, const ConstVectorRef &u, const ConstVectorRef &y, BaseData &data) const |
Public Member Functions inherited from aligator::ExplicitDynamicsModelTpl< _Scalar > | |
ALIGATOR_DYNAMIC_TYPEDEFS (_Scalar) | |
bool | isExplicit () const |
Check if this dynamics model is implicit or explicit. | |
ExplicitDynamicsModelTpl (const ManifoldPtr &space, const int nu) | |
Constructor requires providing the next state's manifold. | |
virtual | ~ExplicitDynamicsModelTpl ()=default |
virtual void | forward (const ConstVectorRef &x, const ConstVectorRef &u, Data &data) const=0 |
Evaluate the forward discrete dynamics. | |
virtual void | dForward (const ConstVectorRef &x, const ConstVectorRef &u, Data &data) const=0 |
Compute the Jacobians of the forward dynamics. | |
Public Member Functions inherited from aligator::DynamicsModelTpl< _Scalar > | |
ALIGATOR_DYNAMIC_TYPEDEFS (_Scalar) | |
const Manifold & | space () const |
State space for the input. | |
const Manifold & | space_next () const |
State space for the output of this dynamics model. | |
int | nx1 () const |
int | nx2 () const |
DynamicsModelTpl (xyz::polymorphic< Manifold > space, const int nu) | |
Constructor for dynamics. | |
DynamicsModelTpl (xyz::polymorphic< Manifold > space, const int nu, xyz::polymorphic< Manifold > space_next) | |
Constructor for dynamics. This constructor assumes same dimension for the current and next state. | |
virtual void | computeVectorHessianProducts (const ConstVectorRef &x, const ConstVectorRef &u, const ConstVectorRef &xn, const ConstVectorRef &lbda, Data &data) const |
virtual | ~DynamicsModelTpl ()=default |
Public Attributes | |
Scalar | timestep_ |
Integration time step \(h\). | |
Public Attributes inherited from aligator::dynamics::ExplicitIntegratorAbstractTpl< _Scalar > | |
xyz::polymorphic< ODEType > | ode_ |
Public Attributes inherited from aligator::DynamicsModelTpl< _Scalar > | |
xyz::polymorphic< Manifold > | space_ |
State space for the input. | |
xyz::polymorphic< Manifold > | space_next_ |
State space for the output of this dynamics model. | |
const int | ndx1 |
State space dimension. | |
const int | nu |
Control dimension. | |
const int | ndx2 |
Next state space dimension. | |
Semi-implicit Euler integrator \( x_{k+1} = x_k \oplus h f(x_k, u_k)\).
Definition at line 17 of file integrator-semi-euler.hpp.
using aligator::dynamics::IntegratorSemiImplEulerTpl< _Scalar >::Scalar = _Scalar |
Definition at line 18 of file integrator-semi-euler.hpp.
using aligator::dynamics::IntegratorSemiImplEulerTpl< _Scalar >::Base = ExplicitIntegratorAbstractTpl<Scalar> |
Definition at line 20 of file integrator-semi-euler.hpp.
using aligator::dynamics::IntegratorSemiImplEulerTpl< _Scalar >::BaseData = ExplicitDynamicsDataTpl<Scalar> |
Definition at line 21 of file integrator-semi-euler.hpp.
using aligator::dynamics::IntegratorSemiImplEulerTpl< _Scalar >::Data = IntegratorSemiImplDataTpl<Scalar> |
Definition at line 22 of file integrator-semi-euler.hpp.
using aligator::dynamics::IntegratorSemiImplEulerTpl< _Scalar >::ODEType = ODEAbstractTpl<Scalar> |
Definition at line 23 of file integrator-semi-euler.hpp.
aligator::dynamics::IntegratorSemiImplEulerTpl< _Scalar >::IntegratorSemiImplEulerTpl | ( | const xyz::polymorphic< ODEType > & | cont_dynamics, |
const Scalar | timestep ) |
aligator::dynamics::IntegratorSemiImplEulerTpl< _Scalar >::ALIGATOR_DYNAMIC_TYPEDEFS | ( | Scalar | ) |
void aligator::dynamics::IntegratorSemiImplEulerTpl< _Scalar >::forward | ( | const ConstVectorRef & | x, |
const ConstVectorRef & | u, | ||
BaseData & | data ) const |
void aligator::dynamics::IntegratorSemiImplEulerTpl< _Scalar >::dForward | ( | const ConstVectorRef & | x, |
const ConstVectorRef & | u, | ||
BaseData & | data ) const |
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inlinevirtual |
Reimplemented from aligator::dynamics::ExplicitIntegratorAbstractTpl< _Scalar >.
Definition at line 38 of file integrator-semi-euler.hpp.
Scalar aligator::dynamics::IntegratorSemiImplEulerTpl< _Scalar >::timestep_ |
Integration time step \(h\).
Definition at line 27 of file integrator-semi-euler.hpp.