Struct valence::math::f32::Affine2

#[repr(C)]
pub struct Affine2 {
    pub matrix2: Mat2,
    pub translation: Vec2,
}

A 2D affine transform, which can represent translation, rotation, scaling and shear.

Fields

matrix2: Mat2

translation: Vec2

Implementations

impl Affine2

pub const ZERO: Affine2 = _

The degenerate zero transform.

This transforms any finite vector and point to zero. The zero transform is non-invertible.

pub const IDENTITY: Affine2 = _

The identity transform.

Multiplying a vector with this returns the same vector.

pub const NAN: Affine2 = _

All NAN:s.

pub const fn from_cols(x_axis: Vec2, y_axis: Vec2, z_axis: Vec2) -> Affine2

Creates an affine transform from three column vectors.

pub fn from_cols_array(m: &[f32; 6]) -> Affine2

Creates an affine transform from a [f32; 6] array stored in column major order.

pub fn to_cols_array(&self) -> [f32; 6]

Creates a [f32; 6] array storing data in column major order.

pub fn from_cols_array_2d(m: &[[f32; 2]; 3]) -> Affine2

Creates an affine transform from a [[f32; 2]; 3] 2D array stored in column major order. If your data is in row major order you will need to transpose the returned matrix.

pub fn to_cols_array_2d(&self) -> [[f32; 2]; 3]

Creates a [[f32; 2]; 3] 2D array storing data in column major order. If you require data in row major order transpose the matrix first.

pub fn from_cols_slice(slice: &[f32]) -> Affine2

Creates an affine transform from the first 6 values in slice.

Panics

Panics if slice is less than 6 elements long.

pub fn write_cols_to_slice(self, slice: &mut [f32])

Writes the columns of self to the first 6 elements in slice.

Panics

Panics if slice is less than 6 elements long.

pub fn from_scale(scale: Vec2) -> Affine2

Creates an affine transform that changes scale. Note that if any scale is zero the transform will be non-invertible.

pub fn from_angle(angle: f32) -> Affine2

Creates an affine transform from the given rotation angle.

pub fn from_translation(translation: Vec2) -> Affine2

Creates an affine transformation from the given 2D translation.

pub fn from_mat2(matrix2: Mat2) -> Affine2

Creates an affine transform from a 2x2 matrix (expressing scale, shear and rotation)

pub fn from_mat2_translation(matrix2: Mat2, translation: Vec2) -> Affine2

Creates an affine transform from a 2x2 matrix (expressing scale, shear and rotation) and a translation vector.

Equivalent to Affine2::from_translation(translation) * Affine2::from_mat2(mat2)

pub fn from_scale_angle_translation( scale: Vec2, angle: f32, translation: Vec2, ) -> Affine2

Creates an affine transform from the given 2D scale, rotation angle (in radians) and translation.

Equivalent to Affine2::from_translation(translation) * Affine2::from_angle(angle) * Affine2::from_scale(scale)

pub fn from_angle_translation(angle: f32, translation: Vec2) -> Affine2

Creates an affine transform from the given 2D rotation angle (in radians) and translation.

Equivalent to Affine2::from_translation(translation) * Affine2::from_angle(angle)

pub fn from_mat3(m: Mat3) -> Affine2

The given Mat3 must be an affine transform,

pub fn from_mat3a(m: Mat3A) -> Affine2

The given Mat3A must be an affine transform,

pub fn to_scale_angle_translation(self) -> (Vec2, f32, Vec2)

Extracts scale, angle and translation from self.

The transform is expected to be non-degenerate and without shearing, or the output will be invalid.

Panics

Will panic if the determinant self.matrix2 is zero or if the resulting scale vector contains any zero elements when glam_assert is enabled.

pub fn transform_point2(&self, rhs: Vec2) -> Vec2

Transforms the given 2D point, applying shear, scale, rotation and translation.

pub fn transform_vector2(&self, rhs: Vec2) -> Vec2

Transforms the given 2D vector, applying shear, scale and rotation (but NOT translation).

To also apply translation, use Self::transform_point2() instead.

pub fn is_finite(&self) -> bool

Returns true if, and only if, all elements are finite.

If any element is either NaN, positive or negative infinity, this will return false.

pub fn is_nan(&self) -> bool

Returns true if any elements are NaN.

pub fn abs_diff_eq(&self, rhs: Affine2, max_abs_diff: f32) -> bool

Returns true if the absolute difference of all elements between self and rhs is less than or equal to max_abs_diff.

This can be used to compare if two 3x4 matrices contain similar elements. It works best when comparing with a known value. The max_abs_diff that should be used used depends on the values being compared against.

For more see comparing floating point numbers.

pub fn inverse(&self) -> Affine2

Return the inverse of this transform.

Note that if the transform is not invertible the result will be invalid.

Trait Implementations

impl Clone for Affine2

fn clone(&self) -> Affine2

Returns a copy of the value.

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

Performs copy-assignment from source.

impl Debug for Affine2

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

Formats the value using the given formatter.

impl Default for Affine2

fn default() -> Affine2

Returns the “default value” for a type.

impl Deref for Affine2

type Target = Cols3<Vec2>

The resulting type after dereferencing.

fn deref(&self) -> &<Affine2 as Deref>::Target

Dereferences the value.

impl DerefMut for Affine2

fn deref_mut(&mut self) -> &mut <Affine2 as Deref>::Target

Mutably dereferences the value.

impl Display for Affine2

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

Formats the value using the given formatter.

impl From<Affine2> for Mat3

fn from(m: Affine2) -> Mat3

Converts to this type from the input type.

impl From<Affine2> for Mat3A

fn from(m: Affine2) -> Mat3A

Converts to this type from the input type.

impl Mul<Affine2> for Mat3

type Output = Mat3

The resulting type after applying the * operator.

fn mul(self, rhs: Affine2) -> <Mat3 as Mul<Affine2>>::Output

Performs the * operation.

impl Mul<Affine2> for Mat3A

type Output = Mat3A

The resulting type after applying the * operator.

fn mul(self, rhs: Affine2) -> <Mat3A as Mul<Affine2>>::Output

Performs the * operation.

impl Mul<Mat3> for Affine2

type Output = Mat3

The resulting type after applying the * operator.

fn mul(self, rhs: Mat3) -> <Affine2 as Mul<Mat3>>::Output

Performs the * operation.

impl Mul<Mat3A> for Affine2

type Output = Mat3A

The resulting type after applying the * operator.

fn mul(self, rhs: Mat3A) -> <Affine2 as Mul<Mat3A>>::Output

Performs the * operation.

impl Mul for Affine2

type Output = Affine2

The resulting type after applying the * operator.

fn mul(self, rhs: Affine2) -> <Affine2 as Mul>::Output

Performs the * operation.

impl MulAssign for Affine2

fn mul_assign(&mut self, rhs: Affine2)

Performs the *= operation.

impl PartialEq for Affine2

fn eq(&self, rhs: &Affine2) -> 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<'a> Product<&'a Affine2> for Affine2

fn product<I>(iter: I) -> Affine2

where I: Iterator<Item = &'a Affine2>,

Takes an iterator and generates Self from the elements by multiplying the items.

impl Copy for Affine2