Struct Mat3A 

#[repr(C)]
pub struct Mat3A {
    pub x_axis: Vec3A,
    pub y_axis: Vec3A,
    pub z_axis: Vec3A,
}

A 3x3 column major matrix.

This 3x3 matrix type features convenience methods for creating and using linear and affine transformations. If you are primarily dealing with 2D affine transformations the Affine2 type is much faster and more space efficient than using a 3x3 matrix.

Linear transformations including 3D rotation and scale can be created using methods such as Self::from_diagonal(), Self::from_quat(), Self::from_axis_angle(), Self::from_rotation_x(), Self::from_rotation_y(), or Self::from_rotation_z().

The resulting matrices can be use to transform 3D vectors using regular vector multiplication.

Affine transformations including 2D translation, rotation and scale can be created using methods such as Self::from_translation(), Self::from_angle(), Self::from_scale() and Self::from_scale_angle_translation().

The Self::transform_point2() and Self::transform_vector2() convenience methods are provided for performing affine transforms on 2D vectors and points. These multiply 2D inputs as 3D vectors with an implicit z value of 1 for points and 0 for vectors respectively. These methods assume that Self contains a valid affine transform.

SIMD vector types are used for storage on supported platforms.

This type is 16 byte aligned.

Fields

x_axis: Vec3A

y_axis: Vec3A

z_axis: Vec3A

Implementations

impl Mat3A

pub const ZERO: Mat3A

A 3x3 matrix with all elements set to 0.0.

pub const IDENTITY: Mat3A

A 3x3 identity matrix, where all diagonal elements are 1, and all off-diagonal elements are 0.

pub const NAN: Mat3A

All NAN:s.

pub const fn from_cols(x_axis: Vec3A, y_axis: Vec3A, z_axis: Vec3A) -> Mat3A

Creates a 3x3 matrix from three column vectors.

See also Self::from_rows when the data is in row major order.

pub const fn from_rows(row0: Vec3A, row1: Vec3A, row2: Vec3A) -> Mat3A

Creates a 3x3 matrix from three row vectors.

Matrices are stored in column major order, so the given rows are permuted into the matrix layout. Use Self::from_cols instead when the data is already in column major order.

pub const fn from_cols_array(m: &[f32; 9]) -> Mat3A

Creates a 3x3 matrix from a [f32; 9] array stored in column major order.

If the data is in row major order use Self::from_rows_array instead.

pub const fn to_cols_array(&self) -> [f32; 9]

Creates a [f32; 9] array storing data in column major order.

If you require the data in row major order use Self::to_rows_array instead.

pub const fn from_cols_array_2d(m: &[[f32; 3]; 3]) -> Mat3A

Creates a 3x3 matrix from a [[f32; 3]; 3] 3D array stored in column major order.

If the data is in row major order transpose the returned matrix.

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

Creates a [[f32; 3]; 3] 3D array storing data in column major order.

If you require row major order transpose the matrix first.

pub const fn from_rows_array(m: &[f32; 9]) -> Mat3A

Creates a 3x3 matrix from a [f32; 9] array stored in row major order.

Matrices are stored in column major order, so the array is permuted into the matrix layout. Use Self::from_cols_array instead when the data is already in column major order.

pub const fn to_rows_array(&self) -> [f32; 9]

Creates a [f32; 9] array storing data in row major order.

Matrices are stored in column major order, so the array is permuted out of the column major storage. Use Self::to_cols_array instead when you want data in column major order.

pub const fn from_diagonal(diagonal: Vec3) -> Mat3A

Creates a 3x3 matrix with its diagonal set to diagonal and all other entries set to 0.

pub fn from_mat4(m: Mat4) -> Mat3A

Creates a 3x3 matrix from a 4x4 matrix, discarding the 4th row and column.

pub fn from_mat4_minor(m: Mat4, i: usize, j: usize) -> Mat3A

Creates a 3x3 matrix from the minor of the given 4x4 matrix, discarding the ith column and jth row.

Panics

Panics if i or j is greater than 3.

pub fn from_quat(rotation: Quat) -> Mat3A

Creates a 3D rotation matrix from the given quaternion.

Panics

Will panic if rotation is not normalized when glam_assert is enabled.

pub fn from_axis_angle(axis: Vec3, angle: f32) -> Mat3A

Creates a 3D rotation matrix from a normalized rotation axis and angle (in radians).

Panics

Will panic if axis is not normalized when glam_assert is enabled.

pub fn from_euler(order: EulerRot, a: f32, b: f32, c: f32) -> Mat3A

Creates a 3D rotation matrix from the given euler rotation sequence and the angles (in radians).

pub fn to_euler(&self, order: EulerRot) -> (f32, f32, f32)

Extract Euler angles with the given Euler rotation order.

Note if the input matrix contains scales, shears, or other non-rotation transformations then the resulting Euler angles will be ill-defined.

Panics

Will panic if any input matrix column is not normalized when glam_assert is enabled.

pub fn from_rotation_x(angle: f32) -> Mat3A

Creates a 3D rotation matrix from angle (in radians) around the x axis.

pub fn from_rotation_y(angle: f32) -> Mat3A

Creates a 3D rotation matrix from angle (in radians) around the y axis.

pub fn from_rotation_z(angle: f32) -> Mat3A

Creates a 3D rotation matrix from angle (in radians) around the z axis.

pub fn from_translation(translation: Vec2) -> Mat3A

Creates an affine transformation matrix from the given 2D translation.

The resulting matrix can be used to transform 2D points and vectors. See Self::transform_point2() and Self::transform_vector2().

pub fn from_angle(angle: f32) -> Mat3A

Creates an affine transformation matrix from the given 2D rotation angle (in radians).

The resulting matrix can be used to transform 2D points and vectors. See Self::transform_point2() and Self::transform_vector2().

pub fn from_scale_angle_translation( scale: Vec2, angle: f32, translation: Vec2, ) -> Mat3A

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

The resulting matrix can be used to transform 2D points and vectors. See Self::transform_point2() and Self::transform_vector2().

pub fn from_scale(scale: Vec2) -> Mat3A

Creates an affine transformation matrix from the given non-uniform 2D scale.

The resulting matrix can be used to transform 2D points and vectors. See Self::transform_point2() and Self::transform_vector2().

Panics

Will panic if all elements of scale are zero when glam_assert is enabled.

pub fn from_mat2(m: Mat2) -> Mat3A

Creates an affine transformation matrix from the given 2x2 matrix.

The resulting matrix can be used to transform 2D points and vectors. See Self::transform_point2() and Self::transform_vector2().

pub const fn from_cols_slice(slice: &[f32]) -> Mat3A

Creates a 3x3 matrix from the first 9 values in slice.

See also Self::from_rows_slice when the slice is in row major order.

Panics

Panics if slice is less than 9 elements long.

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

Writes the columns of self to the first 9 elements in slice.

Panics

Panics if slice is less than 9 elements long.

pub const fn from_rows_slice(slice: &[f32]) -> Mat3A

Creates a 3x3 matrix from the first 9 values in slice, stored in row major order.

Matrices are stored in column major order, so the slice is permuted into the matrix layout. Use Self::from_cols_slice instead when the slice is already in column major order.

Panics

Panics if slice is less than 9 elements long.

pub fn col(&self, index: usize) -> Vec3A

Returns the matrix column for the given index.

Panics

Panics if index is greater than 2.

pub fn col_mut(&mut self, index: usize) -> &mut Vec3A

Returns a mutable reference to the matrix column for the given index.

Panics

Panics if index is greater than 2.

pub fn row(&self, index: usize) -> Vec3A

Returns the matrix row for the given index.

See also Self::set_row when you need to change the row.

Panics

Panics if index is greater than 2.

pub fn set_row(&mut self, index: usize, row: Vec3A)

Sets the matrix row for the given index.

Matrices are stored in column major order, so the row is spread across all 3 columns and writing it touches every column. Use Self::col_mut instead when you can work with columns. See also Self::row.

Panics

Panics if index is greater than 2.

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 transpose(&self) -> Mat3A

Returns the transpose of self.

pub fn diagonal(&self) -> Vec3A

Returns the diagonal of self.

pub fn determinant(&self) -> f32

Returns the determinant of self.

pub fn inverse(&self) -> Mat3A

Returns the inverse of self.

If the matrix is not invertible the returned matrix will be invalid. The returned matrix will also be invalid if the inverse is not finite, which can happen when self contains very large or very small values. Use Self::try_inverse or Self::inverse_or_zero to detect these cases.

Panics

Will panic if the resulting inverted matrix is not finite when glam_assert is enabled.

Examples found in repository

examples/3d/mirror.rs (line 368)

fn calculate_mirror_camera_transform_and_projection(
    main_camera_transform: &Transform,
    main_camera_projection: &PerspectiveProjection,
    mirror_transform: &Transform,
) -> (Transform, PerspectiveProjection) {
    // Calculate the reflection matrix (a.k.a. Householder matrix) that will
    // reflect the scene across the mirror plane.
    //
    // Note that you must calculate this in *matrix* form and only *afterward*
    // convert to a `Transform` instead of composing `Transform`s. This is
    // because the reflection matrix has non-uniform scale, and composing
    // transforms can't always handle composition of matrices with non-uniform
    // scales.
    let mirror_camera_transform = Transform::from_matrix(
        Mat4::from_mat3a(reflection_matrix(Vec3::NEG_Z)) * main_camera_transform.to_matrix(),
    );

    // Compute the distance from the camera to the mirror plane. This will be
    // used to calculate the distance to the near clip plane for the mirror
    // world.
    let distance_from_camera_to_mirror = InfinitePlane3d::new(mirror_transform.rotation * Vec3::Y)
        .signed_distance(
            Isometry3d::IDENTITY,
            mirror_transform.translation - main_camera_transform.translation,
        );

    // Compute the normal of the mirror plane in view space.
    let view_from_world = main_camera_transform.compute_affine().matrix3.inverse();
    let mirror_projection_plane_normal =
        (view_from_world * (mirror_transform.rotation * Vec3::NEG_Y)).normalize();

    // Compute the final projection. It should match the main camera projection,
    // except that `near` and `near_normal` should be set to the updated near
    // plane and near normal plane as above.
    let mirror_camera_projection = PerspectiveProjection {
        near_clip_plane: mirror_projection_plane_normal.extend(distance_from_camera_to_mirror),
        ..*main_camera_projection
    };

    (mirror_camera_transform, mirror_camera_projection)
}

pub fn try_inverse(&self) -> Option<Mat3A>

Returns the inverse of self or None if the matrix is not invertible, or if the inverse is not finite.

pub fn inverse_or_zero(&self) -> Mat3A

Returns the inverse of self or Mat3A::ZERO if the matrix is not invertible, or if the inverse is not finite.

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

Transforms the given 2D vector as a point.

This is the equivalent of multiplying rhs as a 3D vector where z is 1.

This method assumes that self contains a valid affine transform.

Panics

Will panic if the 2nd row of self is not (0, 0, 1) when glam_assert is enabled.

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

Rotates the given 2D vector.

This is the equivalent of multiplying rhs as a 3D vector where z is 0.

This method assumes that self contains a valid affine transform.

Panics

Will panic if the 2nd row of self is not (0, 0, 1) when glam_assert is enabled.

pub fn look_to_lh(dir: Vec3, up: Vec3) -> Mat3A

👎Deprecated since 0.33.1:

use the glam::camera::lh::view::look_to_mat3 function instead

Creates a left-handed view matrix using a facing direction and an up direction.

For a view coordinate system with +X=right, +Y=up and +Z=forward.

Panics

Will panic if dir or up are not normalized, or if dir and up are parallel, when glam_assert is enabled.

pub fn look_to_rh(dir: Vec3, up: Vec3) -> Mat3A

👎Deprecated since 0.33.1:

use the glam::camera::rh::view::look_to_mat3 function instead

Creates a right-handed view matrix using a facing direction and an up direction.

For a view coordinate system with +X=right, +Y=up and +Z=back.

Panics

Will panic if dir or up are not normalized, or if dir and up are parallel, when glam_assert is enabled.

pub fn look_at_lh(eye: Vec3, center: Vec3, up: Vec3) -> Mat3A

👎Deprecated since 0.33.1:

use the glam::camera::lh::view::look_at_mat3 function instead

Creates a left-handed view matrix using a camera position, a focal point and an up direction.

For a view coordinate system with +X=right, +Y=up and +Z=forward.

Panics

Will panic if up is not normalized, if center is equal to eye, or if the view direction is parallel to up, when glam_assert is enabled.

pub fn look_at_rh(eye: Vec3, center: Vec3, up: Vec3) -> Mat3A

👎Deprecated since 0.33.1:

use the glam::camera::rh::view::look_at_mat3 function instead

Creates a right-handed view matrix using a camera position, a focal point and an up direction.

For a view coordinate system with +X=right, +Y=up and +Z=back.

Panics

Will panic if up is not normalized, if center is equal to eye, or if the view direction is parallel to up, when glam_assert is enabled.

pub fn mul_vec3(&self, rhs: Vec3) -> Vec3

Transforms a 3D vector.

pub fn mul_vec3a(&self, rhs: Vec3A) -> Vec3A

Transforms a Vec3A.

pub fn mul_transpose_vec3(&self, rhs: Vec3) -> Vec3

Transforms a 3D vector by the transpose of self.

pub fn mul_transpose_vec3a(&self, rhs: Vec3A) -> Vec3A

Transforms a Vec3A by the transpose of self.

pub fn mul_mat3(&self, rhs: &Mat3A) -> Mat3A

Multiplies two 3x3 matrices.

pub fn add_mat3(&self, rhs: &Mat3A) -> Mat3A

Adds two 3x3 matrices.

pub fn sub_mat3(&self, rhs: &Mat3A) -> Mat3A

Subtracts two 3x3 matrices.

pub fn mul_scalar(&self, rhs: f32) -> Mat3A

Multiplies a 3x3 matrix by a scalar.

pub fn mul_diagonal_scale(&self, scale: Vec3) -> Mat3A

Multiply self by a scaling vector scale. This is faster than creating a whole diagonal scaling matrix and then multiplying that. This operation is commutative.

pub fn div_scalar(&self, rhs: f32) -> Mat3A

Divides a 3x3 matrix by a scalar.

pub fn recip(&self) -> Mat3A

Returns a matrix containing the reciprocal 1.0/n of each element of self.

pub fn abs_diff_eq(&self, rhs: Mat3A, 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 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 abs(&self) -> Mat3A

Takes the absolute value of each element in self

pub fn as_dmat3(&self) -> DMat3

Available on crate feature f64 only.

Trait Implementations

impl AbsDiffEq for Mat3A

type Epsilon = <f32 as AbsDiffEq>::Epsilon

Used for specifying relative comparisons.

fn default_epsilon() -> <Mat3A as AbsDiffEq>::Epsilon

The default tolerance to use when testing values that are close together.

fn abs_diff_eq( &self, other: &Mat3A, epsilon: <Mat3A as AbsDiffEq>::Epsilon, ) -> bool

A test for equality that uses the absolute difference to compute the approximate equality of two numbers.

fn abs_diff_ne(&self, other: &Rhs, epsilon: Self::Epsilon) -> bool

The inverse of AbsDiffEq::abs_diff_eq.

impl Add for Mat3A

type Output = Mat3A

The resulting type after applying the + operator.

fn add(self, rhs: Mat3A) -> Mat3A

Performs the + operation.

impl Add<&Mat3A> for Mat3A

type Output = Mat3A

The resulting type after applying the + operator.

fn add(self, rhs: &Mat3A) -> Mat3A

Performs the + operation.

impl Add<&Mat3A> for &Mat3A

type Output = Mat3A

The resulting type after applying the + operator.

fn add(self, rhs: &Mat3A) -> Mat3A

Performs the + operation.

impl Add<Mat3A> for &Mat3A

type Output = Mat3A

The resulting type after applying the + operator.

fn add(self, rhs: Mat3A) -> Mat3A

Performs the + operation.

impl AddAssign for Mat3A

fn add_assign(&mut self, rhs: Mat3A)

Performs the += operation.

impl AddAssign<&Mat3A> for Mat3A

fn add_assign(&mut self, rhs: &Mat3A)

Performs the += operation.

impl Clone for Mat3A

fn clone(&self) -> Mat3A

Returns a duplicate of the value.

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

Performs copy-assignment from source.

impl Copy for Mat3A

impl Debug for Mat3A

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

Formats the value using the given formatter.

impl Default for Mat3A

fn default() -> Mat3A

Returns the “default value” for a type.

impl<'de> Deserialize<'de> for Mat3A

Deserialize expects a sequence of 9 values.

fn deserialize<D>( deserializer: D, ) -> Result<Mat3A, <D as Deserializer<'de>>::Error>

where D: Deserializer<'de>,

Deserialize this value from the given Serde deserializer.

impl Display for Mat3A

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

Formats the value using the given formatter.

impl Div<&f32> for Mat3A

type Output = Mat3A

The resulting type after applying the / operator.

fn div(self, rhs: &f32) -> Mat3A

Performs the / operation.

impl Div<&f32> for &Mat3A

type Output = Mat3A

The resulting type after applying the / operator.

fn div(self, rhs: &f32) -> Mat3A

Performs the / operation.

impl Div<f32> for Mat3A

type Output = Mat3A

The resulting type after applying the / operator.

fn div(self, rhs: f32) -> Mat3A

Performs the / operation.

impl Div<f32> for &Mat3A

type Output = Mat3A

The resulting type after applying the / operator.

fn div(self, rhs: f32) -> Mat3A

Performs the / operation.

impl DivAssign<&f32> for Mat3A

fn div_assign(&mut self, rhs: &f32)

Performs the /= operation.

impl DivAssign<f32> for Mat3A

fn div_assign(&mut self, rhs: f32)

Performs the /= operation.

impl From<Affine2> for Mat3A

fn from(m: Affine2) -> Mat3A

Converts to this type from the input type.

impl From<Mat3> for Mat3A

fn from(m: Mat3) -> Mat3A

Converts to this type from the input type.

impl From<Mat3A> for Mat3

fn from(m: Mat3A) -> Mat3

Converts to this type from the input type.

impl FromArg for Mat3A

type This<'from_arg> = Mat3A

The type to convert into.

fn from_arg(arg: Arg<'_>) -> Result<<Mat3A as FromArg>::This<'_>, ArgError>

Creates an item from an argument.

impl FromReflect for Mat3A

fn from_reflect(reflect: &(dyn PartialReflect + 'static)) -> Option<Mat3A>

Constructs a concrete instance of Self from a reflected value.

fn take_from_reflect( reflect: Box<dyn PartialReflect>, ) -> Result<Self, Box<dyn PartialReflect>>

Attempts to downcast the given value to Self using, constructing the value using from_reflect if that fails.

impl GetOwnership for Mat3A

fn ownership() -> Ownership

Returns the ownership of Self.

impl GetTypeRegistration for Mat3A

fn get_type_registration() -> TypeRegistration

Returns the default TypeRegistration for this type.

fn register_type_dependencies(registry: &mut TypeRegistry)

Registers other types needed by this type.

impl IntoReturn for Mat3A

fn into_return<'into_return>(self) -> Return<'into_return>

where Mat3A: 'into_return,

Converts Self into a Return value.

impl Mul for Mat3A

type Output = Mat3A

The resulting type after applying the * operator.

fn mul(self, rhs: Mat3A) -> Mat3A

Performs the * operation.

impl Mul<&Affine2> for Mat3A

type Output = Mat3A

The resulting type after applying the * operator.

fn mul(self, rhs: &Affine2) -> Mat3A

Performs the * operation.

impl Mul<&Affine2> for &Mat3A

type Output = Mat3A

The resulting type after applying the * operator.

fn mul(self, rhs: &Affine2) -> Mat3A

Performs the * operation.

impl Mul<&Mat3A> for Affine2

type Output = Mat3A

The resulting type after applying the * operator.

fn mul(self, rhs: &Mat3A) -> Mat3A

Performs the * operation.

impl Mul<&Mat3A> for &Affine2

type Output = Mat3A

The resulting type after applying the * operator.

fn mul(self, rhs: &Mat3A) -> Mat3A

Performs the * operation.

impl Mul<&Mat3A> for Mat3A

type Output = Mat3A

The resulting type after applying the * operator.

fn mul(self, rhs: &Mat3A) -> Mat3A

Performs the * operation.

impl Mul<&Mat3A> for &Mat3A

type Output = Mat3A

The resulting type after applying the * operator.

fn mul(self, rhs: &Mat3A) -> Mat3A

Performs the * operation.

impl Mul<&Vec3> for Mat3A

type Output = Vec3

The resulting type after applying the * operator.

fn mul(self, rhs: &Vec3) -> Vec3

Performs the * operation.

impl Mul<&Vec3> for &Mat3A

type Output = Vec3

The resulting type after applying the * operator.

fn mul(self, rhs: &Vec3) -> Vec3

Performs the * operation.

impl Mul<&Vec3A> for Mat3A

type Output = Vec3A

The resulting type after applying the * operator.

fn mul(self, rhs: &Vec3A) -> Vec3A

Performs the * operation.

impl Mul<&Vec3A> for &Mat3A

type Output = Vec3A

The resulting type after applying the * operator.

fn mul(self, rhs: &Vec3A) -> Vec3A

Performs the * operation.

impl Mul<&f32> for Mat3A

type Output = Mat3A

The resulting type after applying the * operator.

fn mul(self, rhs: &f32) -> Mat3A

Performs the * operation.

impl Mul<&f32> for &Mat3A

type Output = Mat3A

The resulting type after applying the * operator.

fn mul(self, rhs: &f32) -> Mat3A

Performs the * operation.

impl Mul<Affine2> for Mat3A

type Output = Mat3A

The resulting type after applying the * operator.

fn mul(self, rhs: Affine2) -> Mat3A

Performs the * operation.

impl Mul<Affine2> for &Mat3A

type Output = Mat3A

The resulting type after applying the * operator.

fn mul(self, rhs: Affine2) -> Mat3A

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<Mat3A> for &Affine2

type Output = Mat3A

The resulting type after applying the * operator.

fn mul(self, rhs: Mat3A) -> Mat3A

Performs the * operation.

impl Mul<Mat3A> for &Mat3A

type Output = Mat3A

The resulting type after applying the * operator.

fn mul(self, rhs: Mat3A) -> Mat3A

Performs the * operation.

impl Mul<Vec3> for Mat3A

type Output = Vec3

The resulting type after applying the * operator.

fn mul(self, rhs: Vec3) -> Vec3

Performs the * operation.

impl Mul<Vec3> for &Mat3A

type Output = Vec3

The resulting type after applying the * operator.

fn mul(self, rhs: Vec3) -> Vec3

Performs the * operation.

impl Mul<Vec3A> for Mat3A

type Output = Vec3A

The resulting type after applying the * operator.

fn mul(self, rhs: Vec3A) -> <Mat3A as Mul<Vec3A>>::Output

Performs the * operation.

impl Mul<Vec3A> for &Mat3A

type Output = Vec3A

The resulting type after applying the * operator.

fn mul(self, rhs: Vec3A) -> Vec3A

Performs the * operation.

impl Mul<f32> for Mat3A

type Output = Mat3A

The resulting type after applying the * operator.

fn mul(self, rhs: f32) -> Mat3A

Performs the * operation.

impl Mul<f32> for &Mat3A

type Output = Mat3A

The resulting type after applying the * operator.

fn mul(self, rhs: f32) -> Mat3A

Performs the * operation.

impl MulAssign for Mat3A

fn mul_assign(&mut self, rhs: Mat3A)

Performs the *= operation.

impl MulAssign<&Affine2> for Mat3A

fn mul_assign(&mut self, rhs: &Affine2)

Performs the *= operation.

impl MulAssign<&Mat3A> for Mat3A

fn mul_assign(&mut self, rhs: &Mat3A)

Performs the *= operation.

impl MulAssign<&f32> for Mat3A

fn mul_assign(&mut self, rhs: &f32)

Performs the *= operation.

impl MulAssign<Affine2> for Mat3A

fn mul_assign(&mut self, rhs: Affine2)

Performs the *= operation.

impl MulAssign<f32> for Mat3A

fn mul_assign(&mut self, rhs: f32)

Performs the *= operation.

impl Neg for Mat3A

type Output = Mat3A

The resulting type after applying the - operator.

fn neg(self) -> <Mat3A as Neg>::Output

Performs the unary - operation.

impl Neg for &Mat3A

type Output = Mat3A

The resulting type after applying the - operator.

fn neg(self) -> Mat3A

Performs the unary - operation.

impl PartialEq for Mat3A

fn eq(&self, rhs: &Mat3A) -> bool

Equality operator ==.

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

Inequality operator !=.

impl PartialReflect for Mat3A

fn get_represented_type_info(&self) -> Option<&'static TypeInfo>

Returns the TypeInfo of the type represented by this value.

fn try_apply( &mut self, value: &(dyn PartialReflect + 'static), ) -> Result<(), ApplyError>

Tries to apply a reflected value to this value.

fn reflect_kind(&self) -> ReflectKind

Returns a zero-sized enumeration of “kinds” of type.

fn reflect_ref(&self) -> ReflectRef<'_>

Returns an immutable enumeration of “kinds” of type.

fn reflect_mut(&mut self) -> ReflectMut<'_>

Returns a mutable enumeration of “kinds” of type.

fn reflect_owned(self: Box<Mat3A>) -> ReflectOwned

Returns an owned enumeration of “kinds” of type.

fn try_into_reflect( self: Box<Mat3A>, ) -> Result<Box<dyn Reflect>, Box<dyn PartialReflect>>

Attempts to cast this type to a boxed, fully-reflected value.

fn try_as_reflect(&self) -> Option<&(dyn Reflect + 'static)>

Attempts to cast this type to a fully-reflected value.

fn try_as_reflect_mut(&mut self) -> Option<&mut (dyn Reflect + 'static)>

Attempts to cast this type to a mutable, fully-reflected value.

fn into_partial_reflect(self: Box<Mat3A>) -> Box<dyn PartialReflect>

Casts this type to a boxed, reflected value.

fn as_partial_reflect(&self) -> &(dyn PartialReflect + 'static)

Casts this type to a reflected value.

fn as_partial_reflect_mut(&mut self) -> &mut (dyn PartialReflect + 'static)

Casts this type to a mutable, reflected value.

fn reflect_partial_eq( &self, value: &(dyn PartialReflect + 'static), ) -> Option<bool>

Returns a “partial equality” comparison result.

fn reflect_partial_cmp( &self, value: &(dyn PartialReflect + 'static), ) -> Option<Ordering>

Returns a “partial comparison” result.

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

Debug formatter for the value.

fn reflect_clone(&self) -> Result<Box<dyn Reflect>, ReflectCloneError>

Attempts to clone Self using reflection.

fn apply(&mut self, value: &(dyn PartialReflect + 'static))

Applies a reflected value to this value.

fn to_dynamic(&self) -> Result<Box<dyn PartialReflect>, ReflectCloneError>

Converts this reflected value into its dynamic representation based on its kind.

fn reflect_clone_and_take<T>(&self) -> Result<T, ReflectCloneError>

where T: 'static, Self: Sized + TypePath,

For a type implementing PartialReflect, combines reflect_clone and take in a useful fashion, automatically constructing an appropriate ReflectCloneError if the downcast fails.

fn reflect_hash(&self) -> Option<u64>

Returns a hash of the value (which includes the type).

fn is_dynamic(&self) -> bool

Indicates whether or not this type is a dynamic type.

impl Pod for Mat3A

impl Product for Mat3A

fn product<I>(iter: I) -> Mat3A

where I: Iterator<Item = Mat3A>,

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

impl<'a> Product<&'a Mat3A> for Mat3A

fn product<I>(iter: I) -> Mat3A

where I: Iterator<Item = &'a Mat3A>,

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

impl Reflect for Mat3A

fn into_any(self: Box<Mat3A>) -> Box<dyn Any>

Returns the value as a Box<dyn Any>.

fn as_any(&self) -> &(dyn Any + 'static)

Returns the value as a &dyn Any.

fn as_any_mut(&mut self) -> &mut (dyn Any + 'static)

Returns the value as a &mut dyn Any.

fn into_reflect(self: Box<Mat3A>) -> Box<dyn Reflect>

Casts this type to a boxed, fully-reflected value.

fn as_reflect(&self) -> &(dyn Reflect + 'static)

Casts this type to a fully-reflected value.

fn as_reflect_mut(&mut self) -> &mut (dyn Reflect + 'static)

Casts this type to a mutable, fully-reflected value.

fn set(&mut self, value: Box<dyn Reflect>) -> Result<(), Box<dyn Reflect>>

Performs a type-checked assignment of a reflected value to this value.

impl RelativeEq for Mat3A

fn default_max_relative() -> <Mat3A as AbsDiffEq>::Epsilon

The default relative tolerance for testing values that are far-apart.

fn relative_eq( &self, other: &Mat3A, epsilon: <Mat3A as AbsDiffEq>::Epsilon, max_relative: <Mat3A as AbsDiffEq>::Epsilon, ) -> bool

A test for equality that uses a relative comparison if the values are far apart.

fn relative_ne( &self, other: &Rhs, epsilon: Self::Epsilon, max_relative: Self::Epsilon, ) -> bool

The inverse of RelativeEq::relative_eq.

impl Serialize for Mat3A

Serialize as a sequence of 9 values.

fn serialize<S>( &self, serializer: S, ) -> Result<<S as Serializer>::Ok, <S as Serializer>::Error>

where S: Serializer,

Serialize this value into the given Serde serializer.

impl Struct for Mat3A

fn field(&self, name: &str) -> Option<&(dyn PartialReflect + 'static)>

Gets a reference to the value of the field named name as a &dyn PartialReflect.

fn field_mut( &mut self, name: &str, ) -> Option<&mut (dyn PartialReflect + 'static)>

Gets a mutable reference to the value of the field named name as a &mut dyn PartialReflect.

fn field_at(&self, index: usize) -> Option<&(dyn PartialReflect + 'static)>

Gets a reference to the value of the field with index index as a &dyn PartialReflect.

fn field_at_mut( &mut self, index: usize, ) -> Option<&mut (dyn PartialReflect + 'static)>

Gets a mutable reference to the value of the field with index index as a &mut dyn PartialReflect.

fn name_at(&self, index: usize) -> Option<&str>

Gets the name of the field with index index.

fn index_of_name(&self, name: &str) -> Option<usize>

Gets the index of the field with the given name.

fn field_len(&self) -> usize

Returns the number of fields in the struct.

fn iter_fields(&self) -> FieldIter<'_>

Returns an iterator over the values of the reflectable fields for this struct.

fn to_dynamic_struct(&self) -> Result<DynamicStruct, ReflectCloneError>

Creates a new DynamicStruct from this struct.

fn get_represented_struct_info(&self) -> Option<&'static StructInfo>

Will return None if TypeInfo is not available.

impl Sub for Mat3A

type Output = Mat3A

The resulting type after applying the - operator.

fn sub(self, rhs: Mat3A) -> Mat3A

Performs the - operation.

impl Sub<&Mat3A> for Mat3A

type Output = Mat3A

The resulting type after applying the - operator.

fn sub(self, rhs: &Mat3A) -> Mat3A

Performs the - operation.

impl Sub<&Mat3A> for &Mat3A

type Output = Mat3A

The resulting type after applying the - operator.

fn sub(self, rhs: &Mat3A) -> Mat3A

Performs the - operation.

impl Sub<Mat3A> for &Mat3A

type Output = Mat3A

The resulting type after applying the - operator.

fn sub(self, rhs: Mat3A) -> Mat3A

Performs the - operation.

impl SubAssign for Mat3A

fn sub_assign(&mut self, rhs: Mat3A)

Performs the -= operation.

impl SubAssign<&Mat3A> for Mat3A

fn sub_assign(&mut self, rhs: &Mat3A)

Performs the -= operation.

impl Sum for Mat3A

fn sum<I>(iter: I) -> Mat3A

where I: Iterator<Item = Mat3A>,

Takes an iterator and generates Self from the elements by “summing up” the items.

impl<'a> Sum<&'a Mat3A> for Mat3A

fn sum<I>(iter: I) -> Mat3A

where I: Iterator<Item = &'a Mat3A>,

Takes an iterator and generates Self from the elements by “summing up” the items.

impl TypePath for Mat3A

fn type_path() -> &'static str

Returns the fully qualified path of the underlying type.

fn short_type_path() -> &'static str

Returns a short, pretty-print enabled path to the type.

fn type_ident() -> Option<&'static str>

Returns the name of the type, or None if it is anonymous.

fn crate_name() -> Option<&'static str>

Returns the name of the crate the type is in, or None if it is anonymous.

fn module_path() -> Option<&'static str>

Returns the path to the module the type is in, or None if it is anonymous.

impl Typed for Mat3A

fn type_info() -> &'static TypeInfo

Returns the compile-time info for the underlying type.

impl UlpsEq for Mat3A

fn default_max_ulps() -> u32

The default ULPs to tolerate when testing values that are far-apart.

fn ulps_eq( &self, other: &Mat3A, epsilon: <Mat3A as AbsDiffEq>::Epsilon, max_ulps: u32, ) -> bool

A test for equality that uses units in the last place (ULP) if the values are far apart.

fn ulps_ne(&self, other: &Rhs, epsilon: Self::Epsilon, max_ulps: u32) -> bool

The inverse of UlpsEq::ulps_eq.

impl Zeroable for Mat3A

fn zeroed() -> Self

Calls zeroed.