Rotation {PlaneGeometry}

R6 class representing a rotation

Description

A rotation is given by an angle (theta) and a center.

Active bindings

theta

get or set the angle of the rotation

center

get or set the center

degrees

get or set the degrees field

Methods

Public methods

• Rotation$new()

• Rotation$print()

• Rotation$rotate()

• Rotation$transform()

• Rotation$rotateCircle()

• Rotation$transformCircle()

• Rotation$rotateEllipse()

• Rotation$transformEllipse()

• Rotation$rotateLine()

• Rotation$transformLine()

• Rotation$getMatrix()

• Rotation$asAffine()

• Rotation$clone()

Method new()

Create a new Rotation object.

Usage

Rotation$new(theta, center, degrees = TRUE)

Arguments

theta

a number, the angle of the rotation

center

a point, the center of the rotation

degrees

logical, whether theta is given in degrees

Returns

A new Rotation object.

Examples

Rotation$new(60, c(1,1))

Method print()

Show instance of a Rotation object.

Usage

Rotation$print(...)

Arguments

...

ignored

Method rotate()

Rotate a point or several points.

Usage

Rotation$rotate(M)

Arguments

M

a point or a two-column matrix of points, one point per row

Method transform()

An alias of rotate.

Usage

Rotation$transform(M)

Arguments

M

a point or a two-column matrix of points, one point per row

Method rotateCircle()

Rotate a circle.

Usage

Rotation$rotateCircle(circ)

Arguments

circ

a Circle object

Returns

A Circle object.

Method transformCircle()

An alias of rotateCircle.

Usage

Rotation$transformCircle(circ)

Arguments

circ

a Circle object

Returns

A Circle object.

Method rotateEllipse()

Rotate an ellipse.

Usage

Rotation$rotateEllipse(ell)

Arguments

ell

an Ellipse object

Returns

An Ellipse object.

Method transformEllipse()

An alias of rotateEllipse.

Usage

Rotation$transformEllipse(ell)

Arguments

ell

an Ellipse object

Returns

An Ellipse object.

Method rotateLine()

Rotate a line.

Usage

Rotation$rotateLine(line)

Arguments

line

a Line object

Returns

A Line object.

Method transformLine()

An alias of rotateLine.

Usage

Rotation$transformLine(line)

Arguments

line

a Line object

Returns

A Line object.

Method getMatrix()

Augmented matrix of the rotation.

Usage

Rotation$getMatrix()

Returns

A 3x3 matrix.

Examples

R <- Rotation$new(60, c(1,1))
P <- c(1,5)
R$rotate(P)
R$getMatrix() %*% c(P,1)

Method asAffine()

Convert the reference rotation to an Affine object.

Usage

Rotation$asAffine()

Method clone()

The objects of this class are cloneable with this method.

Usage

Rotation$clone(deep = FALSE)

Arguments

deep

Whether to make a deep clone.

Examples

## ------------------------------------------------
## Method `Rotation$new`
## ------------------------------------------------

Rotation$new(60, c(1,1))

## ------------------------------------------------
## Method `Rotation$getMatrix`
## ------------------------------------------------

R <- Rotation$new(60, c(1,1))
P <- c(1,5)
R$rotate(P)
R$getMatrix() %*% c(P,1)