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

AngleBetweenVectorsConstraint &	operator= (const AngleBetweenVectorsConstraint &)=delete

	AngleBetweenVectorsConstraint (AngleBetweenVectorsConstraint &&)=delete

AngleBetweenVectorsConstraint &	operator= (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

Constraint &	operator= (const Constraint &)=delete

	Constraint (Constraint &&)=delete

Constraint &	operator= (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...

std::ostream &	Display (std::ostream &os, const VectorX< symbolic::Variable > &vars) const
	Formats this evaluator into the given stream using `vars` for the bound decision variable names. More...

std::ostream &	Display (std::ostream &os) const
	Formats this evaluator into the given stream, without displaying the decision variables it is bound to. More...

std::string	ToLatex (const VectorX< symbolic::Variable > &vars, int precision=3) const
	Returns a LaTeX string describing this 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 std::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...

bool	is_thread_safe () const
	Returns whether it is safe to call Eval in parallel. More...

	EvaluatorBase (const EvaluatorBase &)=delete

EvaluatorBase &	operator= (const EvaluatorBase &)=delete

	EvaluatorBase (EvaluatorBase &&)=delete

EvaluatorBase &	operator= (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 > &new_lb, const Eigen::Ref< const Eigen::VectorXd > &new_ub)
	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...

virtual std::ostream &	DoDisplay (std::ostream &os, const VectorX< symbolic::Variable > &vars) const
	NVI implementation of Display. More...

virtual std::string	DoToLatex (const VectorX< symbolic::Variable > &vars, int precision) const

void	set_num_outputs (int num_outputs)

void	set_is_thread_safe (bool is_thread_safe)

Constructor & Destructor Documentation

◆ AngleBetweenVectorsConstraint() [1/4]

AngleBetweenVectorsConstraint ( const AngleBetweenVectorsConstraint & )

delete

◆ AngleBetweenVectorsConstraint() [2/4]

AngleBetweenVectorsConstraint ( AngleBetweenVectorsConstraint && )

delete

◆ 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

plant	The MultibodyPlant on which the constraint is imposed. `plant` should be alive during the lifetime of this constraint.
frameA	The Frame object for frame A.
a_A	The vector `a` fixed to frame A, expressed in frame A.
frameB	The Frame object for frame B.
b_B	The vector `b` fixed to frame B, expressed in frameB.
angle_lower	The lower bound on the angle between `a` and `b`. It is denoted as θ_lower in the class documentation.
angle_upper	The upper bound on the angle between `a` and `b`. it is denoted as θ_upper in the class documentation.
plant_context	The 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::exception	if `plant` is nullptr.
std::exception	if `a_A` is close to zero.
std::exception	if `b_B` is close to zero.
std::exception	if `angle_lower` is negative.
std::exception	if `angle_upper` ∉ [`angle_lower`, π].
std::exception	if `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()

~AngleBetweenVectorsConstraint ( )

override

Member Function Documentation

◆ operator=() [1/2]

AngleBetweenVectorsConstraint& operator= ( const AngleBetweenVectorsConstraint & )

delete

◆ operator=() [2/2]

AngleBetweenVectorsConstraint& operator= ( AngleBetweenVectorsConstraint && )

delete

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

drake/multibody/inverse_kinematics/angle_between_vectors_constraint.h

Detailed Description

Public Member Functions

Additional Inherited Members

Constructor & Destructor Documentation

◆ AngleBetweenVectorsConstraint() [1/4]

◆ AngleBetweenVectorsConstraint() [2/4]

◆ AngleBetweenVectorsConstraint() [3/4]

◆ AngleBetweenVectorsConstraint() [4/4]

◆ ~AngleBetweenVectorsConstraint()

Member Function Documentation

◆ operator=() [1/2]

◆ operator=() [2/2]