Class SpatialAcceleration#

Inheritance Relationships#

Base Type#

Class Documentation#

class SpatialAcceleration : public Karana::Math::SpatialVector#

A velocity SpatialVector.

Public Functions

SpatialAcceleration(const SpatialAcceleration &other)#

Copy constructor.

Parameters:

other – The SpatialAcceleration to copy from.

SpatialAcceleration &operator=(const SpatialAcceleration &other)#

Copy assignment operator.

Parameters:

other – The SpatialAcceleration to assign from.

Returns:

Reference to this object.

template<class Derived>
inline SpatialAcceleration &operator=(const Eigen::MatrixBase<Derived> &expression)#

Copy assignment operator.

Template Parameters:

Derived – The derived Eigen type.

Parameters:

expression – The Eigen expression to copy into the SpatialAcceleration.

Returns:

A reference to this SpatialAcceleration.

SpatialAcceleration(SpatialAcceleration &&other) noexcept#

Move constructor.

Parameters:

other – The SpatialAcceleration to move from.

SpatialAcceleration &operator=(SpatialAcceleration &&other) noexcept#

Move assignment operator.

Parameters:

other – The SpatialAcceleration to move from.

Returns:

Reference to this object.

SpatialAcceleration operator*(double scale) const#

Scalar multiplication.

Parameters:

scale – Scalar value to multiply by.

Returns:

Scaled SpatialAcceleration.

SpatialAcceleration operator+(const SpatialAcceleration &other) const#

Component-wise addition.

Parameters:

other – The SpatialAcceleration to add to this one.

Returns:

Resulting SpatialAcceleration sum.

SpatialAcceleration &operator+=(const SpatialAcceleration &other)#

In-place component-wise addition.

Parameters:

other – The SpatialAcceleration to add to this one in-place.

Returns:

Reference to this object.

SpatialAcceleration operator-() const#

Negation operator.

Returns:

Negated SpatialAcceleration.

SpatialAcceleration operator-(const SpatialAcceleration &other) const#

Subtract another SpatialAcceleration.

Parameters:

other – The SpatialAcceleration to subtract from this one.

Returns:

Resulting SpatialAcceleration.

SpatialAcceleration &operator-=(const SpatialAcceleration &other)#

In-place subtraction.

Parameters:

other – The SpatialAcceleration to subtract from this one.

Returns:

Reference to this object.

SpatialAcceleration operator+(const Vec6 &vec) const#

Add a Vec6 to this spatial acceleration.

Parameters:

vec – The 6D acceleration to add to this SpatialAcceleration.

Returns:

Resulting SpatialAcceleration.

SpatialAcceleration operator-(const Vec6 &vec) const#

Subtract a Vec6 from this spatial acceleration.

Parameters:

vec – The 6D acceleration to subtract from this SpatialAcceleration.

Returns:

Resulting SpatialAcceleration.

SpatialAcceleration cross(const SpatialAcceleration &other)#

Compute 6-D cross product with another spatial acceleration.

\[\begin{split} A \times B = \tilde A B = \begin{bmatrix} \tilde A_w & \tilde A_v \\ 0 & \tilde A_w \end{bmatrix} \begin{bmatrix} B_w \\ B_v \end{bmatrix} \end{split}\]

Parameters:

other – The SpatialAcceleration to compute the cross product with.

Returns:

Resulting SpatialAcceleration.

SpatialAcceleration barprod(const SpatialAcceleration &other)#

Compute the bar product with another spatial acceleration.

\[\begin{split} \bar A B = - {\tilde A}^* B = \begin{bmatrix} \tilde A_w & \tilde A_v \\ 0 & \tilde A_w \end{bmatrix} \begin{bmatrix} B_w \\ B_v \end{bmatrix} \end{split}\]

Parameters:

other – The SpatialAcceleration to compute the bar product with.

Returns:

Resulting SpatialAcceleration.

SpatialAcceleration multiplyFromLeft(const Mat66 &mat) const#

Multiply the acceleration from left with a matrix, i.e v * mat.

Parameters:

mat – Matrix to multiply.

Returns:

Resulting SpatialAcceleration.

SpatialVector()#

Construct initialized to zero.

template<typename Derived>
inline explicit SpatialVector(const Eigen::MatrixBase<Derived> &sv)#

Construct using a 6 vector. The first 3 components will be put into w and the last 3 components will be put into v.

Template Parameters:

Derived – The derived Eigen type.

Parameters:

sv – The Eigen expression to copy into the SpatialVector. This should be a 6-element vector.

template<typename WDerived, typename VDerived>
inline explicit SpatialVector(const Eigen::MatrixBase<WDerived> &w, const Eigen::MatrixBase<VDerived> &v)#

Construct using two 3-element vectors. The first will become w and the second will become v.

Template Parameters:
  • WDerived – The derived eigen type for w.

  • VDerived – The derived eigen type for v.

Parameters:
  • w – Angular portion of the spatial vector.

  • v – Linear portion of the spatial vector.

SpatialVector(const SpatialVector &other)#

Copy constructor.

Parameters:

other – The SpatialVector to copy from.

SpatialVector(SpatialVector &&other) noexcept#

Move constructor.

Parameters:

other – The SpatialVector to move from.