Drake
AngleBetweenVectorsConstraint Class Reference

Detailed Description

Constrains that the angle between a vector a and another vector b is between [θ_lower, θ_upper].

a is fixed to a frame A, while b is fixed to a frame B. Mathematically, if we denote a_unit_A as a expressed in frame A after normalization (a_unit_A has unit length), and b_unit_B as b expressed in frame B after normalization, the constraint is cos(θ_upper) ≤ a_unit_Aᵀ * R_AB * b_unit_B ≤ cos(θ_lower)

#include <drake/multibody/inverse_kinematics/angle_between_vectors_constraint.h>

Public Member Functions

 AngleBetweenVectorsConstraint (const MultibodyPlant< double > *plant, const Frame< double > &frameA, const Eigen::Ref< const Eigen::Vector3d > &a_A, const Frame< double > &frameB, const Eigen::Ref< const Eigen::Vector3d > &b_B, double angle_lower, double angle_upper, systems::Context< double > *plant_context)
 Constructs an AngleBetweenVectorsConstraint. More...
 
 AngleBetweenVectorsConstraint (const MultibodyPlant< AutoDiffXd > *plant, const Frame< AutoDiffXd > &frameA, const Eigen::Ref< const Eigen::Vector3d > &a_A, const Frame< AutoDiffXd > &frameB, const Eigen::Ref< const Eigen::Vector3d > &b_B, double angle_lower, double angle_upper, systems::Context< AutoDiffXd > *plant_context)
 Overloaded constructor. More...
 
 ~AngleBetweenVectorsConstraint () override
 
Does not allow copy, move, or assignment
 AngleBetweenVectorsConstraint (const AngleBetweenVectorsConstraint &)=delete
 
AngleBetweenVectorsConstraintoperator= (const AngleBetweenVectorsConstraint &)=delete
 
 AngleBetweenVectorsConstraint (AngleBetweenVectorsConstraint &&)=delete
 
AngleBetweenVectorsConstraintoperator= (AngleBetweenVectorsConstraint &&)=delete
 
- Public Member Functions inherited from Constraint
template<typename DerivedLB , typename DerivedUB >
 Constraint (int num_constraints, int num_vars, const Eigen::MatrixBase< DerivedLB > &lb, const Eigen::MatrixBase< DerivedUB > &ub, const std::string &description="")
 Constructs a constraint which has num_constraints rows, with an input num_vars x 1 vector. More...
 
 Constraint (int num_constraints, int num_vars)
 Constructs a constraint which has num_constraints rows, with an input num_vars x 1 vector, with no bounds. More...
 
bool CheckSatisfied (const Eigen::Ref< const Eigen::VectorXd > &x, double tol=1E-6) const
 Return whether this constraint is satisfied by the given value, x. More...
 
bool CheckSatisfied (const Eigen::Ref< const AutoDiffVecXd > &x, double tol=1E-6) const
 
symbolic::Formula CheckSatisfied (const Eigen::Ref< const VectorX< symbolic::Variable >> &x) const
 
const Eigen::VectorXd & lower_bound () const
 
const Eigen::VectorXd & upper_bound () const
 
int num_constraints () const
 Number of rows in the output constraint. More...
 
 Constraint (const Constraint &)=delete
 
Constraintoperator= (const Constraint &)=delete
 
 Constraint (Constraint &&)=delete
 
Constraintoperator= (Constraint &&)=delete
 
- Public Member Functions inherited from EvaluatorBase
virtual ~EvaluatorBase ()
 
void Eval (const Eigen::Ref< const Eigen::VectorXd > &x, Eigen::VectorXd *y) const
 Evaluates the expression. More...
 
void Eval (const Eigen::Ref< const AutoDiffVecXd > &x, AutoDiffVecXd *y) const
 Evaluates the expression. More...
 
void Eval (const Eigen::Ref< const VectorX< symbolic::Variable >> &x, VectorX< symbolic::Expression > *y) const
 Evaluates the expression. More...
 
void set_description (const std::string &description)
 Set a human-friendly description for the evaluator. More...
 
const std::string & get_description () const
 Getter for a human-friendly description for the evaluator. More...
 
int num_vars () const
 Getter for the number of variables, namely the number of rows in x, as used in Eval(x, y). More...
 
int num_outputs () const
 Getter for the number of outputs, namely the number of rows in y, as used in Eval(x, y). More...
 
void SetGradientSparsityPattern (const std::vector< std::pair< int, int >> &gradient_sparsity_pattern)
 Set the sparsity pattern of the gradient matrix ∂y/∂x (the gradient of y value in Eval, w.r.t x in Eval) . More...
 
const optional< std::vector< std::pair< int, int > > > & gradient_sparsity_pattern () const
 Returns the vector of (row_index, col_index) that contains all the entries in the gradient of Eval function (∂y/∂x) whose value could be non-zero, namely if ∂yᵢ/∂xⱼ could be non-zero, then the pair (i, j) is in gradient_sparsity_pattern. More...
 
 EvaluatorBase (const EvaluatorBase &)=delete
 
EvaluatorBaseoperator= (const EvaluatorBase &)=delete
 
 EvaluatorBase (EvaluatorBase &&)=delete
 
EvaluatorBaseoperator= (EvaluatorBase &&)=delete
 

Additional Inherited Members

- Protected Member Functions inherited from Constraint
void UpdateLowerBound (const Eigen::Ref< const Eigen::VectorXd > &new_lb)
 Updates the lower bound. More...
 
void UpdateUpperBound (const Eigen::Ref< const Eigen::VectorXd > &new_ub)
 Updates the upper bound. More...
 
void set_bounds (const Eigen::Ref< const Eigen::VectorXd > &lower_bound, const Eigen::Ref< const Eigen::VectorXd > &upper_bound)
 Set the upper and lower bounds of the constraint. More...
 
virtual bool DoCheckSatisfied (const Eigen::Ref< const Eigen::VectorXd > &x, const double tol) const
 
virtual bool DoCheckSatisfied (const Eigen::Ref< const AutoDiffVecXd > &x, const double tol) const
 
virtual symbolic::Formula DoCheckSatisfied (const Eigen::Ref< const VectorX< symbolic::Variable >> &x) const
 
- Protected Member Functions inherited from EvaluatorBase
 EvaluatorBase (int num_outputs, int num_vars, const std::string &description="")
 Constructs a evaluator. More...
 
void set_num_outputs (int num_outputs)
 

Constructor & Destructor Documentation

◆ AngleBetweenVectorsConstraint() [1/4]

◆ AngleBetweenVectorsConstraint() [2/4]

◆ AngleBetweenVectorsConstraint() [3/4]

AngleBetweenVectorsConstraint ( const MultibodyPlant< double > *  plant,
const Frame< double > &  frameA,
const Eigen::Ref< const Eigen::Vector3d > &  a_A,
const Frame< double > &  frameB,
const Eigen::Ref< const Eigen::Vector3d > &  b_B,
double  angle_lower,
double  angle_upper,
systems::Context< double > *  plant_context 
)

Constructs an AngleBetweenVectorsConstraint.

Parameters
plantThe MultibodyPlant on which the constraint is imposed. plant should be alive during the lifetime of this constraint.
frameAThe Frame object for frame A.
a_AThe vector a fixed to frame A, expressed in frame A.
frameBThe Frame object for frame B.
b_BThe vector b fixed to frame B, expressed in frameB.
angle_lowerThe lower bound on the angle between a and b. It is denoted as θ_lower in the class documentation.
angle_upperThe upper bound on the angle between a and b. it is denoted as θ_upper in the class documentation.
plant_contextThe Context that has been allocated for this plant. We will update the context when evaluating the constraint. plant_context should be alive during the lifetime of this constraint.
Precondition
frameA and frameB must belong to plant.
Exceptions
std::invalid_argumentif plant is nullptr.
std::invalid_argumentif a_A is close to zero.
std::invalid_argumentif b_B is close to zero.
std::invalid_argumentif angle_lower is negative.
std::invalid_argumentif angle_upper ∉ [angle_lower, π].
std::invalid_argumentif plant_context is nullptr.

◆ AngleBetweenVectorsConstraint() [4/4]

AngleBetweenVectorsConstraint ( const MultibodyPlant< AutoDiffXd > *  plant,
const Frame< AutoDiffXd > &  frameA,
const Eigen::Ref< const Eigen::Vector3d > &  a_A,
const Frame< AutoDiffXd > &  frameB,
const Eigen::Ref< const Eigen::Vector3d > &  b_B,
double  angle_lower,
double  angle_upper,
systems::Context< AutoDiffXd > *  plant_context 
)

Overloaded constructor.

Use MultibodyPlant<AutoDiffXd> instead of MultibodyPlant<double>.

◆ ~AngleBetweenVectorsConstraint()

Member Function Documentation

◆ operator=() [1/2]

◆ operator=() [2/2]


The documentation for this class was generated from the following files: