Struct Matrix3dTransform

pub struct Matrix3dTransform<T: CoordinateType> {
    pub m11: T,
    pub m12: T,
    pub m21: T,
    pub m22: T,
    pub m31: T,
    pub m32: T,
}

Affine transformation represented as a 3x3 matrix like:

m11 m12 0
m21 m22 0
m31 m32 1

Fields

m11: T

m11

m12: T

m12

m21: T

m21

m22: T

m22

m31: T

m31. Used to express the x component of the translation.

m32: T

m32. Used to express the y component of the translation.

Implementations

impl<T: CoordinateType> Matrix3dTransform<T>

pub fn new(m11: T, m12: T, m21: T, m22: T, m31: T, m32: T) -> Self

Create a new transform based on the matrix elements.

pub fn identity() -> Self

Get the identity transform.

pub fn translate<V: Into<Vector<T>>>(v: V) -> Self

Create a translation by a vector.

pub fn rotate90(angle: Angle) -> Self

Create a rotation by an integer multiple of 90 degrees.

pub fn scale(factor: T) -> Self

Create a scaling by a factor.

pub fn mirror_x() -> Self

Mirror at the x-axis.

pub fn mirror_y() -> Self

Mirror at the y-axis.

pub fn transform_point(&self, p: Point<T>) -> Point<T>

Apply the transformation to a single point.

pub fn to_matrix3d(&self) -> Matrix3d<T>

Return the 3x3 matrix describing this transformation.

pub fn to_matrix2d(&self) -> Matrix2d<T>

Return the 2x2 matrix that describes this transformation without any translation.

pub fn determinant(&self) -> T

Compute the determinant of the 3x3 matrix that describes this transformation.

pub fn try_invert(&self) -> Option<Self>

Get the inverse transformation if it exists.

pub fn then(&self, t: &Self) -> Self

Return a new transformation that is equal to applying first self then t.

pub fn then_scale(&self, factor: T) -> Self

Create a new transformation with an additional scaling.

pub fn then_translate<V: Into<Vector<T>>>(&self, v: V) -> Self

Create a new transformation with an additional translation.

pub fn then_rotate90(&self, angle: Angle) -> Self

Create a new transformation with an additional rotation by a multiple of 90 degrees.

pub fn then_mirror_x(&self) -> Self

Create a new transformation with an additional mirroring at the x-axis.

pub fn then_mirror_y(&self) -> Self

Create a new transformation with an additional mirroring at the y-axis.

pub fn get_translation(&self) -> Vector<T>

Get the translation part of this affine transformation.

impl<T: CoordinateType + Float> Matrix3dTransform<T>

pub fn rotation(phi: T) -> Self

Create a rotation by an arbitrary angle (in radians).

pub fn then_rotate(&self, phi: T) -> Self

Create a new transformation with an additional rotation.

Trait Implementations

impl<T: Clone + CoordinateType> Clone for Matrix3dTransform<T>

fn clone(&self) -> Matrix3dTransform<T>

Returns a duplicate of the value.

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

Performs copy-assignment from source.

impl<T: Debug + CoordinateType> Debug for Matrix3dTransform<T>

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

Formats the value using the given formatter.

impl<T: Hash + CoordinateType> Hash for Matrix3dTransform<T>

fn hash<__H: Hasher>(&self, state: &mut __H)

Feeds this value into the given Hasher.

fn hash_slice<H>(data: &[Self], state: &mut H)

where H: Hasher, Self: Sized,

Feeds a slice of this type into the given Hasher.

impl<T: CoordinateType> Mul for Matrix3dTransform<T>

fn mul(self, rhs: Self) -> Self::Output

Shortcut for self.then(&rhs).

type Output = Matrix3dTransform<T>

The resulting type after applying the * operator.

impl<T: PartialEq + CoordinateType> PartialEq for Matrix3dTransform<T>

fn eq(&self, other: &Matrix3dTransform<T>) -> bool

Tests for self and other values to be equal, and is used by ==.

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

Tests for !=. The default implementation is almost always sufficient, and should not be overridden without very good reason.

impl<T: Eq + CoordinateType> Eq for Matrix3dTransform<T>

impl<T: CoordinateType> StructuralPartialEq for Matrix3dTransform<T>