Struct Transform2 

pub struct Transform2 { /* private fields */ }

A similarity transform in the plane.

Implementations

impl Transform2

pub const IDENTITY: Self

The identity.

pub fn translation(v: Vector2) -> Self

A translation.

pub fn rotation(centre: Point2, angle: f64) -> Self

A rotation about centre.

pub fn scaling( centre: Point2, factor: f64, tol: Tolerances, ) -> OgeomResult<Self>

A uniform scaling about centre.

Errors

OgeomError::Construction if factor is degenerate.

pub fn line_mirror(origin: Point2, normal: Direction2) -> Self

Reflection in the line through origin with the given normal.

pub const fn kind(&self) -> TransformKind

This transform’s classification.

pub const fn linear(&self) -> Matrix2

The orthonormal part.

pub const fn scale_factor(&self) -> f64

The uniform scale factor. Negative for a point mirror.

pub const fn translation_vector(&self) -> Vector2

The translation.

pub fn preserves_handedness(&self) -> bool

Whether this transform preserves handedness. In the plane a negative scale is a half turn, which does: only the linear part’s reflection decides.

pub fn apply(&self, p: Point2) -> Point2

Apply to a point.

pub fn apply_direction( &self, d: Direction2, tol: Tolerances, ) -> OgeomResult<Direction2>

Apply to a direction, renormalizing.

Errors

OgeomError::Construction if the result cannot be normalized, which a valid similarity never produces.

pub fn apply_frame(&self, f: &Frame2, tol: Tolerances) -> OgeomResult<Frame2>

Apply to a frame, transforming the origin and both axes.

Errors

OgeomError::Construction if the transformed axes cannot be renormalized or are no longer perpendicular.

pub fn apply_vector(&self, v: Vector2) -> Vector2

Apply to a free vector.

pub fn inverse(&self) -> OgeomResult<Self>

The inverse.

Errors

OgeomError::Numeric if the transform is degenerate.

pub fn is_equal(&self, other: &Self, tol: Tolerances) -> bool

Whether two transforms agree in effect.

Trait Implementations

impl Clone for Transform2

fn clone(&self) -> Self

Returns a duplicate of the value.

fn clone_from(&mut self, source: &Self)

Performs copy-assignment from source.

impl Copy for Transform2

impl Debug for Transform2

fn fmt(&self, f: &mut Formatter<'_>) -> Result

Formats the value using the given formatter.

impl Default for Transform2

fn default() -> Self

Returns the “default value” for a type.

impl Mul for Transform2

type Output = Transform2

The resulting type after applying the * operator.

fn mul(self, b: Self) -> Self

Performs the * operation.

impl PartialEq for Transform2

fn eq(&self, other: &Self) -> bool

Equality operator ==.

fn ne(&self, other: &Rhs) -> bool

Inequality operator !=.

impl StructuralPartialEq for Transform2