Struct Mat3

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#[repr(C)]
pub struct Mat3 { pub x_axis: Vec3, pub y_axis: Vec3, pub z_axis: Vec3, }
Expand description

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.

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§x_axis: Vec3§y_axis: Vec3§z_axis: Vec3

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impl Mat3

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pub const ZERO: Mat3

A 3x3 matrix with all elements set to 0.0.

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pub const IDENTITY: Mat3

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

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pub const NAN: Mat3

All NAN:s.

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pub const fn from_cols(x_axis: Vec3, y_axis: Vec3, z_axis: Vec3) -> Mat3

Creates a 3x3 matrix from three column vectors.

Examples found in repository?
examples/ecs/fallible_params.rs (line 152)
137fn track_targets(
138    // `Single` ensures the system runs ONLY when exactly one matching entity exists.
139    mut player: Single<(&mut Transform, &Player)>,
140    // `Option<Single>` ensures that the system runs ONLY when zero or one matching entity exists.
141    enemy: Option<Single<&Transform, (With<Enemy>, Without<Player>)>>,
142    time: Res<Time>,
143) {
144    let (player_transform, player) = &mut *player;
145    if let Some(enemy_transform) = enemy {
146        // Enemy found, rotate and move towards it.
147        let delta = enemy_transform.translation - player_transform.translation;
148        let distance = delta.length();
149        let front = delta / distance;
150        let up = Vec3::Z;
151        let side = front.cross(up);
152        player_transform.rotation = Quat::from_mat3(&Mat3::from_cols(side, front, up));
153        let max_step = distance - player.min_follow_radius;
154        if 0.0 < max_step {
155            let velocity = (player.speed * time.delta_secs()).min(max_step);
156            player_transform.translation += front * velocity;
157        }
158    } else {
159        // 0 or multiple enemies found, keep searching.
160        player_transform.rotate_axis(Dir3::Z, player.rotation_speed * time.delta_secs());
161    }
162}
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pub const fn from_cols_array(m: &[f32; 9]) -> Mat3

Creates a 3x3 matrix from a [f32; 9] array stored in column major order. If your data is stored in row major you will need to transpose the returned matrix.

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

Creates a [f32; 9] array storing data in column major order. If you require data in row major order transpose the matrix first.

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pub const fn from_cols_array_2d(m: &[[f32; 3]; 3]) -> Mat3

Creates a 3x3 matrix from a [[f32; 3]; 3] 3D array stored in column major order. If your data is in row major order you will need to transpose the returned matrix.

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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 data in row major order transpose the matrix first.

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pub const fn from_diagonal(diagonal: Vec3) -> Mat3

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

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pub fn from_mat4(m: Mat4) -> Mat3

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

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pub fn from_mat4_minor(m: Mat4, i: usize, j: usize) -> Mat3

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.

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pub fn from_quat(rotation: Quat) -> Mat3

Creates a 3D rotation matrix from the given quaternion.

§Panics

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

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pub fn from_axis_angle(axis: Vec3, angle: f32) -> Mat3

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.

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pub fn from_euler(order: EulerRot, a: f32, b: f32, c: f32) -> Mat3

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

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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.

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pub fn from_rotation_x(angle: f32) -> Mat3

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

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pub fn from_rotation_y(angle: f32) -> Mat3

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

Examples found in repository?
examples/3d/visibility_range.rs (line 248)
215fn move_camera(
216    keyboard_input: Res<ButtonInput<KeyCode>>,
217    mut mouse_wheel_events: EventReader<MouseWheel>,
218    mut cameras: Query<&mut Transform, With<Camera3d>>,
219) {
220    let (mut zoom_delta, mut theta_delta) = (0.0, 0.0);
221
222    // Process zoom in and out via the keyboard.
223    if keyboard_input.pressed(KeyCode::KeyW) || keyboard_input.pressed(KeyCode::ArrowUp) {
224        zoom_delta -= CAMERA_KEYBOARD_ZOOM_SPEED;
225    } else if keyboard_input.pressed(KeyCode::KeyS) || keyboard_input.pressed(KeyCode::ArrowDown) {
226        zoom_delta += CAMERA_KEYBOARD_ZOOM_SPEED;
227    }
228
229    // Process left and right pan via the keyboard.
230    if keyboard_input.pressed(KeyCode::KeyA) || keyboard_input.pressed(KeyCode::ArrowLeft) {
231        theta_delta -= CAMERA_KEYBOARD_PAN_SPEED;
232    } else if keyboard_input.pressed(KeyCode::KeyD) || keyboard_input.pressed(KeyCode::ArrowRight) {
233        theta_delta += CAMERA_KEYBOARD_PAN_SPEED;
234    }
235
236    // Process zoom in and out via the mouse wheel.
237    for event in mouse_wheel_events.read() {
238        zoom_delta -= event.y * CAMERA_MOUSE_MOVEMENT_SPEED;
239    }
240
241    // Update the camera transform.
242    for transform in cameras.iter_mut() {
243        let transform = transform.into_inner();
244
245        let direction = transform.translation.normalize_or_zero();
246        let magnitude = transform.translation.length();
247
248        let new_direction = Mat3::from_rotation_y(theta_delta) * direction;
249        let new_magnitude = (magnitude + zoom_delta).max(MIN_ZOOM_DISTANCE);
250
251        transform.translation = new_direction * new_magnitude;
252        transform.look_at(CAMERA_FOCAL_POINT, Vec3::Y);
253    }
254}
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pub fn from_rotation_z(angle: f32) -> Mat3

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

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pub fn from_translation(translation: Vec2) -> Mat3

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().

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pub fn from_angle(angle: f32) -> Mat3

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().

Examples found in repository?
examples/math/render_primitives.rs (line 602)
595fn rotate_primitive_2d_meshes(
596    mut primitives_2d: Query<
597        (&mut Transform, &ViewVisibility),
598        (With<PrimitiveData>, With<MeshDim2>),
599    >,
600    time: Res<Time>,
601) {
602    let rotation_2d = Quat::from_mat3(&Mat3::from_angle(time.elapsed_secs()));
603    primitives_2d
604        .iter_mut()
605        .filter(|(_, vis)| vis.get())
606        .for_each(|(mut transform, _)| {
607            transform.rotation = rotation_2d;
608        });
609}
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pub fn from_scale_angle_translation( scale: Vec2, angle: f32, translation: Vec2, ) -> Mat3

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().

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pub fn from_scale(scale: Vec2) -> Mat3

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.

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pub fn from_mat2(m: Mat2) -> Mat3

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().

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pub const fn from_cols_slice(slice: &[f32]) -> Mat3

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

§Panics

Panics if slice is less than 9 elements long.

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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.

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pub fn col(&self, index: usize) -> Vec3

Returns the matrix column for the given index.

§Panics

Panics if index is greater than 2.

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pub fn col_mut(&mut self, index: usize) -> &mut Vec3

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

§Panics

Panics if index is greater than 2.

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pub fn row(&self, index: usize) -> Vec3

Returns the matrix row for the given index.

§Panics

Panics if index is greater than 2.

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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.

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pub fn is_nan(&self) -> bool

Returns true if any elements are NaN.

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pub fn transpose(&self) -> Mat3

Returns the transpose of self.

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pub fn determinant(&self) -> f32

Returns the determinant of self.

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pub fn inverse(&self) -> Mat3

Returns the inverse of self.

If the matrix is not invertible the returned matrix will be invalid.

§Panics

Will panic if the determinant of self is zero when glam_assert is enabled.

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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.

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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.

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

Transforms a 3D vector.

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

Transforms a Vec3A.

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pub fn mul_mat3(&self, rhs: &Mat3) -> Mat3

Multiplies two 3x3 matrices.

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pub fn add_mat3(&self, rhs: &Mat3) -> Mat3

Adds two 3x3 matrices.

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pub fn sub_mat3(&self, rhs: &Mat3) -> Mat3

Subtracts two 3x3 matrices.

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pub fn mul_scalar(&self, rhs: f32) -> Mat3

Multiplies a 3x3 matrix by a scalar.

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pub fn div_scalar(&self, rhs: f32) -> Mat3

Divides a 3x3 matrix by a scalar.

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pub fn abs_diff_eq(&self, rhs: Mat3, 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.

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pub fn abs(&self) -> Mat3

Takes the absolute value of each element in self

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pub fn as_dmat3(&self) -> DMat3

Trait Implementations§

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impl Add for Mat3

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type Output = Mat3

The resulting type after applying the + operator.
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fn add(self, rhs: Mat3) -> <Mat3 as Add>::Output

Performs the + operation. Read more
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impl AddAssign for Mat3

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fn add_assign(&mut self, rhs: Mat3)

Performs the += operation. Read more
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impl AsMut<[f32; 9]> for Mat3

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fn as_mut(&mut self) -> &mut [f32; 9]

Converts this type into a mutable reference of the (usually inferred) input type.
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impl AsMutMatrixParts<f32, 3, 3> for Mat3
where Mat3: AsMut<[f32; 9]>, f32: MatrixScalar,

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fn as_mut_parts(&mut self) -> &mut [[f32; 3]; 3]

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impl AsRef<[f32; 9]> for Mat3

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fn as_ref(&self) -> &[f32; 9]

Converts this type into a shared reference of the (usually inferred) input type.
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impl AsRefMatrixParts<f32, 3, 3> for Mat3
where Mat3: AsRef<[f32; 9]>, f32: MatrixScalar,

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fn as_ref_parts(&self) -> &[[f32; 3]; 3]

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impl Clone for Mat3

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fn clone(&self) -> Mat3

Returns a copy of the value. Read more
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fn clone_from(&mut self, source: &Self)

Performs copy-assignment from source. Read more
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impl CreateFrom for Mat3
where Mat3: ShaderType<ExtraMetadata = MatrixMetadata> + FromMatrixParts<f32, 3, 3>, f32: MatrixScalar + CreateFrom,

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fn create_from<B>(reader: &mut Reader<B>) -> Mat3
where B: BufferRef,

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impl Debug for Mat3

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

Formats the value using the given formatter. Read more
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impl Default for Mat3

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fn default() -> Mat3

Returns the “default value” for a type. Read more
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impl<'de> Deserialize<'de> for Mat3

Deserialize expects a sequence of 9 values.

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fn deserialize<D>( deserializer: D, ) -> Result<Mat3, <D as Deserializer<'de>>::Error>
where D: Deserializer<'de>,

Deserialize this value from the given Serde deserializer. Read more
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impl Display for Mat3

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

Formats the value using the given formatter. Read more
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impl Div<Mat3> for f32

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type Output = Mat3

The resulting type after applying the / operator.
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fn div(self, rhs: Mat3) -> <f32 as Div<Mat3>>::Output

Performs the / operation. Read more
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impl Div<f32> for Mat3

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type Output = Mat3

The resulting type after applying the / operator.
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fn div(self, rhs: f32) -> <Mat3 as Div<f32>>::Output

Performs the / operation. Read more
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impl DivAssign<f32> for Mat3

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fn div_assign(&mut self, rhs: f32)

Performs the /= operation. Read more
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impl From<Affine2> for Mat3

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fn from(m: Affine2) -> Mat3

Converts to this type from the input type.
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impl From<Mat3> for Mat3A

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fn from(m: Mat3) -> Mat3A

Converts to this type from the input type.
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impl From<Mat3A> for Mat3

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fn from(m: Mat3A) -> Mat3

Converts to this type from the input type.
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impl FromArg for &'static Mat3
where Mat3: Any + Send + Sync, Vec3: FromReflect + TypePath + MaybeTyped + RegisterForReflection,

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type This<'from_arg> = &'from_arg Mat3

The type to convert into. Read more
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fn from_arg( arg: Arg<'_>, ) -> Result<<&'static Mat3 as FromArg>::This<'_>, ArgError>

Creates an item from an argument. Read more
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impl FromArg for &'static mut Mat3
where Mat3: Any + Send + Sync, Vec3: FromReflect + TypePath + MaybeTyped + RegisterForReflection,

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type This<'from_arg> = &'from_arg mut Mat3

The type to convert into. Read more
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fn from_arg( arg: Arg<'_>, ) -> Result<<&'static mut Mat3 as FromArg>::This<'_>, ArgError>

Creates an item from an argument. Read more
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impl FromArg for Mat3
where Mat3: Any + Send + Sync, Vec3: FromReflect + TypePath + MaybeTyped + RegisterForReflection,

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type This<'from_arg> = Mat3

The type to convert into. Read more
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fn from_arg(arg: Arg<'_>) -> Result<<Mat3 as FromArg>::This<'_>, ArgError>

Creates an item from an argument. Read more
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impl FromMatrixParts<f32, 3, 3> for Mat3

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fn from_parts(parts: [[f32; 3]; 3]) -> Mat3

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impl FromReflect for Mat3
where Mat3: Any + Send + Sync, Vec3: FromReflect + TypePath + MaybeTyped + RegisterForReflection,

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fn from_reflect(reflect: &(dyn PartialReflect + 'static)) -> Option<Mat3>

Constructs a concrete instance of Self from a reflected value.
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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. Read more
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impl GetOwnership for &Mat3
where Mat3: Any + Send + Sync, Vec3: FromReflect + TypePath + MaybeTyped + RegisterForReflection,

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fn ownership() -> Ownership

Returns the ownership of Self.
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impl GetOwnership for &mut Mat3
where Mat3: Any + Send + Sync, Vec3: FromReflect + TypePath + MaybeTyped + RegisterForReflection,

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fn ownership() -> Ownership

Returns the ownership of Self.
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impl GetOwnership for Mat3
where Mat3: Any + Send + Sync, Vec3: FromReflect + TypePath + MaybeTyped + RegisterForReflection,

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fn ownership() -> Ownership

Returns the ownership of Self.
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impl GetTypeRegistration for Mat3
where Mat3: Any + Send + Sync, Vec3: FromReflect + TypePath + MaybeTyped + RegisterForReflection,

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fn get_type_registration() -> TypeRegistration

Returns the default TypeRegistration for this type.
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fn register_type_dependencies(registry: &mut TypeRegistry)

Registers other types needed by this type. Read more
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impl IntoReturn for &Mat3
where Mat3: Any + Send + Sync, Vec3: FromReflect + TypePath + MaybeTyped + RegisterForReflection,

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fn into_return<'into_return>(self) -> Return<'into_return>
where &Mat3: 'into_return,

Converts Self into a Return value.
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impl IntoReturn for &mut Mat3
where Mat3: Any + Send + Sync, Vec3: FromReflect + TypePath + MaybeTyped + RegisterForReflection,

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fn into_return<'into_return>(self) -> Return<'into_return>
where &mut Mat3: 'into_return,

Converts Self into a Return value.
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impl IntoReturn for Mat3
where Mat3: Any + Send + Sync, Vec3: FromReflect + TypePath + MaybeTyped + RegisterForReflection,

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fn into_return<'into_return>(self) -> Return<'into_return>
where Mat3: 'into_return,

Converts Self into a Return value.
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impl Mul<Affine2> for Mat3

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type Output = Mat3

The resulting type after applying the * operator.
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fn mul(self, rhs: Affine2) -> <Mat3 as Mul<Affine2>>::Output

Performs the * operation. Read more
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impl Mul<Mat3> for Affine2

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type Output = Mat3

The resulting type after applying the * operator.
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fn mul(self, rhs: Mat3) -> <Affine2 as Mul<Mat3>>::Output

Performs the * operation. Read more
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impl Mul<Mat3> for f32

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type Output = Mat3

The resulting type after applying the * operator.
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fn mul(self, rhs: Mat3) -> <f32 as Mul<Mat3>>::Output

Performs the * operation. Read more
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impl Mul<Vec3> for Mat3

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type Output = Vec3

The resulting type after applying the * operator.
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fn mul(self, rhs: Vec3) -> <Mat3 as Mul<Vec3>>::Output

Performs the * operation. Read more
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impl Mul<Vec3A> for Mat3

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type Output = Vec3A

The resulting type after applying the * operator.
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fn mul(self, rhs: Vec3A) -> Vec3A

Performs the * operation. Read more
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impl Mul<f32> for Mat3

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type Output = Mat3

The resulting type after applying the * operator.
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fn mul(self, rhs: f32) -> <Mat3 as Mul<f32>>::Output

Performs the * operation. Read more
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impl Mul for Mat3

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type Output = Mat3

The resulting type after applying the * operator.
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fn mul(self, rhs: Mat3) -> <Mat3 as Mul>::Output

Performs the * operation. Read more
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impl MulAssign<f32> for Mat3

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fn mul_assign(&mut self, rhs: f32)

Performs the *= operation. Read more
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impl MulAssign for Mat3

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fn mul_assign(&mut self, rhs: Mat3)

Performs the *= operation. Read more
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impl Neg for Mat3

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type Output = Mat3

The resulting type after applying the - operator.
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fn neg(self) -> <Mat3 as Neg>::Output

Performs the unary - operation. Read more
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impl PartialEq for Mat3

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fn eq(&self, rhs: &Mat3) -> bool

Tests for self and other values to be equal, and is used by ==.
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fn ne(&self, other: &Rhs) -> bool

Tests for !=. The default implementation is almost always sufficient, and should not be overridden without very good reason.
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impl PartialReflect for Mat3
where Mat3: Any + Send + Sync, Vec3: FromReflect + TypePath + MaybeTyped + RegisterForReflection,

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

Returns the TypeInfo of the type represented by this value. Read more
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fn try_apply( &mut self, value: &(dyn PartialReflect + 'static), ) -> Result<(), ApplyError>

Tries to apply a reflected value to this value. Read more
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fn reflect_kind(&self) -> ReflectKind

Returns a zero-sized enumeration of “kinds” of type. Read more
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fn reflect_ref(&self) -> ReflectRef<'_>

Returns an immutable enumeration of “kinds” of type. Read more
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fn reflect_mut(&mut self) -> ReflectMut<'_>

Returns a mutable enumeration of “kinds” of type. Read more
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fn reflect_owned(self: Box<Mat3>) -> ReflectOwned

Returns an owned enumeration of “kinds” of type. Read more
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fn try_into_reflect( self: Box<Mat3>, ) -> Result<Box<dyn Reflect>, Box<dyn PartialReflect>>

Attempts to cast this type to a boxed, fully-reflected value.
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fn try_as_reflect(&self) -> Option<&(dyn Reflect + 'static)>

Attempts to cast this type to a fully-reflected value.
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fn try_as_reflect_mut(&mut self) -> Option<&mut (dyn Reflect + 'static)>

Attempts to cast this type to a mutable, fully-reflected value.
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fn into_partial_reflect(self: Box<Mat3>) -> Box<dyn PartialReflect>

Casts this type to a boxed, reflected value. Read more
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fn as_partial_reflect(&self) -> &(dyn PartialReflect + 'static)

Casts this type to a reflected value. Read more
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fn as_partial_reflect_mut(&mut self) -> &mut (dyn PartialReflect + 'static)

Casts this type to a mutable, reflected value. Read more
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fn reflect_partial_eq( &self, value: &(dyn PartialReflect + 'static), ) -> Option<bool>

Returns a “partial equality” comparison result. Read more
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fn debug(&self, f: &mut Formatter<'_>) -> Result<(), Error>

Debug formatter for the value. Read more
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fn reflect_clone(&self) -> Result<Box<dyn Reflect>, ReflectCloneError>

Attempts to clone Self using reflection. Read more
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fn apply(&mut self, value: &(dyn PartialReflect + 'static))

Applies a reflected value to this value. Read more
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fn clone_value(&self) -> Box<dyn PartialReflect>

👎Deprecated since 0.16.0: to clone reflected values, prefer using reflect_clone. To convert reflected values to dynamic ones, use to_dynamic.
Clones Self into its dynamic representation. Read more
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fn to_dynamic(&self) -> Box<dyn PartialReflect>

Converts this reflected value into its dynamic representation based on its kind. Read more
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fn reflect_hash(&self) -> Option<u64>

Returns a hash of the value (which includes the type). Read more
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fn is_dynamic(&self) -> bool

Indicates whether or not this type is a dynamic type. Read more
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impl<'a> Product<&'a Mat3> for Mat3

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fn product<I>(iter: I) -> Mat3
where I: Iterator<Item = &'a Mat3>,

Takes an iterator and generates Self from the elements by multiplying the items.
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impl Product for Mat3

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fn product<I>(iter: I) -> Mat3
where I: Iterator<Item = Mat3>,

Takes an iterator and generates Self from the elements by multiplying the items.
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impl ReadFrom for Mat3
where Mat3: ShaderType<ExtraMetadata = MatrixMetadata> + AsMutMatrixParts<f32, 3, 3>, f32: MatrixScalar + ReadFrom,

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fn read_from<B>(&mut self, reader: &mut Reader<B>)
where B: BufferRef,

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impl Reflect for Mat3
where Mat3: Any + Send + Sync, Vec3: FromReflect + TypePath + MaybeTyped + RegisterForReflection,

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fn into_any(self: Box<Mat3>) -> Box<dyn Any>

Returns the value as a Box<dyn Any>. Read more
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fn as_any(&self) -> &(dyn Any + 'static)

Returns the value as a &dyn Any. Read more
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fn as_any_mut(&mut self) -> &mut (dyn Any + 'static)

Returns the value as a &mut dyn Any. Read more
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fn into_reflect(self: Box<Mat3>) -> Box<dyn Reflect>

Casts this type to a boxed, fully-reflected value.
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fn as_reflect(&self) -> &(dyn Reflect + 'static)

Casts this type to a fully-reflected value.
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fn as_reflect_mut(&mut self) -> &mut (dyn Reflect + 'static)

Casts this type to a mutable, fully-reflected value.
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fn set(&mut self, value: Box<dyn Reflect>) -> Result<(), Box<dyn Reflect>>

Performs a type-checked assignment of a reflected value to this value. Read more
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impl Serialize for Mat3

Serialize as a sequence of 9 values.

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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. Read more
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impl ShaderSize for Mat3
where f32: ShaderSize,

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const SHADER_SIZE: NonZero<u64> = _

Represents WGSL Size (equivalent to ShaderType::min_size)
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impl ShaderType for Mat3
where f32: ShaderSize,

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fn min_size() -> NonZero<u64>

Represents the minimum size of Self (equivalent to GPUBufferBindingLayout.minBindingSize) Read more
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fn size(&self) -> NonZero<u64>

Returns the size of Self at runtime Read more
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fn assert_uniform_compat()

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impl Struct for Mat3
where Mat3: Any + Send + Sync, Vec3: FromReflect + TypePath + MaybeTyped + RegisterForReflection,

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

Returns a reference to the value of the field named name as a &dyn PartialReflect.
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fn field_mut( &mut self, name: &str, ) -> Option<&mut (dyn PartialReflect + 'static)>

Returns a mutable reference to the value of the field named name as a &mut dyn PartialReflect.
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fn field_at(&self, index: usize) -> Option<&(dyn PartialReflect + 'static)>

Returns a reference to the value of the field with index index as a &dyn PartialReflect.
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fn field_at_mut( &mut self, index: usize, ) -> Option<&mut (dyn PartialReflect + 'static)>

Returns a mutable reference to the value of the field with index index as a &mut dyn PartialReflect.
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fn name_at(&self, index: usize) -> Option<&str>

Returns the name of the field with index index.
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fn field_len(&self) -> usize

Returns the number of fields in the struct.
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fn iter_fields(&self) -> FieldIter<'_>

Returns an iterator over the values of the reflectable fields for this struct.
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fn to_dynamic_struct(&self) -> DynamicStruct

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fn clone_dynamic(&self) -> DynamicStruct

👎Deprecated since 0.16.0: use to_dynamic_struct instead
Clones the struct into a DynamicStruct.
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fn get_represented_struct_info(&self) -> Option<&'static StructInfo>

Will return None if TypeInfo is not available.
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impl Sub for Mat3

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type Output = Mat3

The resulting type after applying the - operator.
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fn sub(self, rhs: Mat3) -> <Mat3 as Sub>::Output

Performs the - operation. Read more
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impl SubAssign for Mat3

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fn sub_assign(&mut self, rhs: Mat3)

Performs the -= operation. Read more
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impl<'a> Sum<&'a Mat3> for Mat3

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fn sum<I>(iter: I) -> Mat3
where I: Iterator<Item = &'a Mat3>,

Takes an iterator and generates Self from the elements by “summing up” the items.
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impl Sum for Mat3

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fn sum<I>(iter: I) -> Mat3
where I: Iterator<Item = Mat3>,

Takes an iterator and generates Self from the elements by “summing up” the items.
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impl TypePath for Mat3
where Mat3: Any + Send + Sync,

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fn type_path() -> &'static str

Returns the fully qualified path of the underlying type. Read more
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fn short_type_path() -> &'static str

Returns a short, pretty-print enabled path to the type. Read more
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fn type_ident() -> Option<&'static str>

Returns the name of the type, or None if it is anonymous. Read more
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fn crate_name() -> Option<&'static str>

Returns the name of the crate the type is in, or None if it is anonymous. Read more
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fn module_path() -> Option<&'static str>

Returns the path to the module the type is in, or None if it is anonymous. Read more
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impl Typed for Mat3
where Mat3: Any + Send + Sync, Vec3: FromReflect + TypePath + MaybeTyped + RegisterForReflection,

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fn type_info() -> &'static TypeInfo

Returns the compile-time info for the underlying type.
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impl WriteInto for Mat3
where Mat3: ShaderType<ExtraMetadata = MatrixMetadata> + AsRefMatrixParts<f32, 3, 3>, f32: MatrixScalar + WriteInto,

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fn write_into<B>(&self, writer: &mut Writer<B>)
where B: BufferMut,

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impl Zeroable for Mat3

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fn zeroed() -> Self

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impl Copy for Mat3

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impl Pod for Mat3

Auto Trait Implementations§

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impl Freeze for Mat3

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impl RefUnwindSafe for Mat3

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impl Send for Mat3

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impl Sync for Mat3

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impl Unpin for Mat3

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impl UnwindSafe for Mat3

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impl<T> Any for T
where T: 'static + ?Sized,

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fn type_id(&self) -> TypeId

Gets the TypeId of self. Read more
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impl<T, U> AsBindGroupShaderType<U> for T
where U: ShaderType, &'a T: for<'a> Into<U>,

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fn as_bind_group_shader_type(&self, _images: &RenderAssets<GpuImage>) -> U

Return the T ShaderType for self. When used in AsBindGroup derives, it is safe to assume that all images in self exist.
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impl<T> Borrow<T> for T
where T: ?Sized,

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fn borrow(&self) -> &T

Immutably borrows from an owned value. Read more
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impl<T> BorrowMut<T> for T
where T: ?Sized,

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fn borrow_mut(&mut self) -> &mut T

Mutably borrows from an owned value. Read more
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impl<T> CheckedBitPattern for T
where T: AnyBitPattern,

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type Bits = T

Self must have the same layout as the specified Bits except for the possible invalid bit patterns being checked during is_valid_bit_pattern.
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fn is_valid_bit_pattern(_bits: &T) -> bool

If this function returns true, then it must be valid to reinterpret bits as &Self.
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impl<T> CloneToUninit for T
where T: Clone,

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unsafe fn clone_to_uninit(&self, dest: *mut u8)

🔬This is a nightly-only experimental API. (clone_to_uninit)
Performs copy-assignment from self to dest. Read more
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impl<T> Conv for T

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fn conv<T>(self) -> T
where Self: Into<T>,

Converts self into T using Into<T>. Read more
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impl<T> Downcast<T> for T

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fn downcast(&self) -> &T

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impl<T> Downcast for T
where T: Any,

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

Converts Box<dyn Trait> (where Trait: Downcast) to Box<dyn Any>, which can then be downcast into Box<dyn ConcreteType> where ConcreteType implements Trait.
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fn into_any_rc(self: Rc<T>) -> Rc<dyn Any>

Converts Rc<Trait> (where Trait: Downcast) to Rc<Any>, which can then be further downcast into Rc<ConcreteType> where ConcreteType implements Trait.
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fn as_any(&self) -> &(dyn Any + 'static)

Converts &Trait (where Trait: Downcast) to &Any. This is needed since Rust cannot generate &Any’s vtable from &Trait’s.
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fn as_any_mut(&mut self) -> &mut (dyn Any + 'static)

Converts &mut Trait (where Trait: Downcast) to &Any. This is needed since Rust cannot generate &mut Any’s vtable from &mut Trait’s.
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impl<T> Downcast for T
where T: Any,

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

Convert Box<dyn Trait> (where Trait: Downcast) to Box<dyn Any>. Box<dyn Any> can then be further downcast into Box<ConcreteType> where ConcreteType implements Trait.
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fn into_any_rc(self: Rc<T>) -> Rc<dyn Any>

Convert Rc<Trait> (where Trait: Downcast) to Rc<Any>. Rc<Any> can then be further downcast into Rc<ConcreteType> where ConcreteType implements Trait.
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fn as_any(&self) -> &(dyn Any + 'static)

Convert &Trait (where Trait: Downcast) to &Any. This is needed since Rust cannot generate &Any’s vtable from &Trait’s.
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fn as_any_mut(&mut self) -> &mut (dyn Any + 'static)

Convert &mut Trait (where Trait: Downcast) to &Any. This is needed since Rust cannot generate &mut Any’s vtable from &mut Trait’s.
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impl<T> DowncastSend for T
where T: Any + Send,

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fn into_any_send(self: Box<T>) -> Box<dyn Any + Send>

Converts Box<Trait> (where Trait: DowncastSend) to Box<dyn Any + Send>, which can then be downcast into Box<ConcreteType> where ConcreteType implements Trait.
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impl<T> DowncastSync for T
where T: Any + Send + Sync,

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fn into_any_arc(self: Arc<T>) -> Arc<dyn Any + Send + Sync>

Convert Arc<Trait> (where Trait: Downcast) to Arc<Any>. Arc<Any> can then be further downcast into Arc<ConcreteType> where ConcreteType implements Trait.
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impl<T> DynamicTypePath for T
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impl<T> DynamicTyped for T
where T: Typed,

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fn fmt_binary(self) -> FmtBinary<Self>
where Self: Binary,

Causes self to use its Binary implementation when Debug-formatted.
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where Self: Display,

Causes self to use its Display implementation when Debug-formatted.
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where Self: LowerExp,

Causes self to use its LowerExp implementation when Debug-formatted.
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where Self: LowerHex,

Causes self to use its LowerHex implementation when Debug-formatted.
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where Self: Octal,

Causes self to use its Octal implementation when Debug-formatted.
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where Self: Pointer,

Causes self to use its Pointer implementation when Debug-formatted.
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where Self: UpperExp,

Causes self to use its UpperExp implementation when Debug-formatted.
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where Self: UpperHex,

Causes self to use its UpperHex implementation when Debug-formatted.
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where &'a Self: for<'a> IntoIterator,

Formats each item in a sequence. Read more
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fn from(t: T) -> T

Returns the argument unchanged.

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fn from_sample_(s: S) -> S

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fn from_world(_world: &mut World) -> T

Creates Self using default().

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where T: Reflect,

Returns a reference to the value of the field named name, downcast to T.
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where T: Reflect,

Returns a mutable reference to the value of the field named name, downcast to T.
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fn reflect_path<'p>( &self, path: impl ReflectPath<'p>, ) -> Result<&(dyn PartialReflect + 'static), ReflectPathError<'p>>

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where T: Reflect,

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where T: Reflect,

Returns a statically typed mutable reference to the value specified by path. Read more
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impl<T> Instrument for T

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fn instrument(self, span: Span) -> Instrumented<Self>

Instruments this type with the provided Span, returning an Instrumented wrapper. Read more
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Instruments this type with the current Span, returning an Instrumented wrapper. Read more
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where U: From<T>,

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fn into(self) -> U

Calls U::from(self).

That is, this conversion is whatever the implementation of From<T> for U chooses to do.

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fn into_either(self, into_left: bool) -> Either<Self, Self>

Converts self into a Left variant of Either<Self, Self> if into_left is true. Converts self into a Right variant of Either<Self, Self> otherwise. Read more
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where F: FnOnce(&Self) -> bool,

Converts self into a Left variant of Either<Self, Self> if into_left(&self) returns true. Converts self into a Right variant of Either<Self, Self> otherwise. Read more
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fn into_sample(self) -> T

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where T: Default,

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type NoneType = T

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The none-equivalent value.
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impl<T> Pipe for T
where T: ?Sized,

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fn pipe<R>(self, func: impl FnOnce(Self) -> R) -> R
where Self: Sized,

Pipes by value. This is generally the method you want to use. Read more
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fn pipe_ref<'a, R>(&'a self, func: impl FnOnce(&'a Self) -> R) -> R
where R: 'a,

Borrows self and passes that borrow into the pipe function. Read more
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where R: 'a,

Mutably borrows self and passes that borrow into the pipe function. Read more
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where Self: Borrow<B>, B: 'a + ?Sized, R: 'a,

Borrows self, then passes self.borrow() into the pipe function. Read more
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where Self: BorrowMut<B>, B: 'a + ?Sized, R: 'a,

Mutably borrows self, then passes self.borrow_mut() into the pipe function. Read more
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where Self: AsRef<U>, U: 'a + ?Sized, R: 'a,

Borrows self, then passes self.as_ref() into the pipe function.
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where Self: AsMut<U>, U: 'a + ?Sized, R: 'a,

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where Self: Deref<Target = T>, T: 'a + ?Sized, R: 'a,

Borrows self, then passes self.deref() into the pipe function.
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where Self: DerefMut<Target = T> + Deref, T: 'a + ?Sized, R: 'a,

Mutably borrows self, then passes self.deref_mut() into the pipe function.
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impl<T> Pointable for T

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const ALIGN: usize

The alignment of pointer.
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type Init = T

The type for initializers.
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unsafe fn init(init: <T as Pointable>::Init) -> usize

Initializes a with the given initializer. Read more
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Dereferences the given pointer. Read more
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Read this value from the supplied reader. Same as ReadEndian::read_from_little_endian().
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Read this value from the supplied reader. Same as ReadEndian::read_from_big_endian().
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Read this value from the supplied reader. Same as ReadEndian::read_from_native_endian().
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fn erased_serialize(&self, serializer: &mut dyn Serializer) -> Result<(), Error>

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impl<T> Tap for T

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fn tap(self, func: impl FnOnce(&Self)) -> Self

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type Owned = T

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Performs the conversion.
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Performs the conversion.
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