Class SpatialVelocity#

Inheritance Relationships#

Base Type#

Class Documentation#

class SpatialVelocity : public Karana::Math::SpatialVector#

A velocity SpatialVector.

Public Functions

SpatialVelocity operator*(double scale) const#

Scalar multiplication.

Parameters:

scale – Scalar value to multiply by.

Returns:

Scaled SpatialVelocity.

SpatialVelocity operator+(const SpatialVelocity &other) const#

Component-wise addition.

Parameters:

other – The SpatialVelocity to add to this one.

Returns:

Resulting SpatialVelocity sum.

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

In-place component-wise addition.

Parameters:

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

Returns:

Reference to this object.

SpatialVelocity operator-() const#

Negation operator.

Returns:

Negated SpatialVelocity.

SpatialVelocity operator-(const SpatialVelocity &other) const#

Subtract another SpatialVelocity.

Parameters:

other – The SpatialVelocity to subtract from this one.

Returns:

Resulting SpatialVelocity.

SpatialVelocity operator-=(const SpatialVelocity &other)#

In-place subtraction.

Parameters:

other – The SpatialVelocity to subtract from this one.

Returns:

Reference to this object.

SpatialVelocity operator+(const Vec6 &vec) const#

Add a Vec6 to this spatial velocity.

Parameters:

vec – The 6D velocity to add to this SpatialVelocity.

Returns:

Resulting SpatialVelocity.

SpatialVelocity operator-(const Vec6 &vec) const#

Subtract a Vec6 from this spatial velocity.

Parameters:

vec – The 6D velocity to subtract from this SpatialVelocity.

Returns:

Resulting SpatialVelocity.

SpatialVelocity cross(const SpatialVelocity &other)#

Compute 6-D cross product with another spatial velocity.

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

Parameters:

other – The SpatialVelocity to compute the cross product with.

Returns:

Resulting SpatialVelocity.

SpatialVelocity barprod(const SpatialVelocity &other)#

Compute the bar product with another spatial velocity.

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

Parameters:

other – The SpatialVelocity to compute the bar product with.

Returns:

Resulting SpatialVelocity.

SpatialVelocity multiplyFromLeft(const Mat66 &mat) const#

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

Parameters:

mat – Matrix to multiply.

Returns:

Resulting SpatialVelocity.

SpatialVector()#

Construct initialized to zero.

SpatialVector(const Vec6 &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.

Parameters:

sv – 6-element vector representing the entire spatial vector.

SpatialVector(const Vec3 &w, const Vec3 &v)#

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