Struct bevy_math::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

Implementations§

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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.

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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_quat(rotation: Quat) -> Mat3

Creates a 3D rotation matrix from the given quaternion.

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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).

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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 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.

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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().

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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().

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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.

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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.

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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.

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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.

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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.

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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.

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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.

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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.

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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 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 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 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

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

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

Constructs a concrete instance of Self from a reflected value.
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fn take_from_reflect( reflect: Box<dyn Reflect> ) -> Result<Self, Box<dyn Reflect>>

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 GetTypeRegistration for Mat3
where Mat3: Any + Send + Sync, Vec3: FromReflect + TypePath + 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 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<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

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

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

Method which 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>,

Method which takes an iterator and generates Self from the elements by multiplying the items.
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impl Reflect for Mat3
where Mat3: Any + Send + Sync, Vec3: FromReflect + TypePath + 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 into_any(self: Box<Mat3>) -> Box<dyn Any>

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

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

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

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

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

Casts this type to a mutable reflected value.
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fn clone_value(&self) -> Box<dyn Reflect>

Clones the value as a Reflect trait object. Read more
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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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fn try_apply( &mut self, value: &(dyn Reflect + '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 reflect_partial_eq(&self, value: &(dyn Reflect + '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 apply(&mut self, value: &(dyn Reflect + 'static))

Applies a reflected value to this value. 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 serializable(&self) -> Option<Serializable<'_>>

Returns a serializable version of the value. 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 Serialize for Mat3

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

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

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

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

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

Returns a mutable reference to the value of the field with index index as a &mut dyn Reflect.
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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 clone_dynamic(&self) -> DynamicStruct

Clones the struct into a DynamicStruct.
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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>,

Method which 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>,

Method which 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 + RegisterForReflection,

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fn type_info() -> &'static TypeInfo

Returns the compile-time info for the underlying type.
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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

Blanket Implementations§

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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> 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> 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> DowncastSync for T
where T: Any + Send + Sync,

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

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
where T: TypePath,

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impl<T> From<T> for T

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fn from(t: T) -> T

Returns the argument unchanged.

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impl<S> GetField for S
where S: Struct,

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fn get_field<T>(&self, name: &str) -> Option<&T>
where T: Reflect,

Returns a reference to the value of the field named name, downcast to T.
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fn get_field_mut<T>(&mut self, name: &str) -> Option<&mut T>
where T: Reflect,

Returns a mutable reference to the value of the field named name, downcast to T.
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impl<T> GetPath for T
where T: Reflect + ?Sized,

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fn reflect_path<'p>( &self, path: impl ReflectPath<'p> ) -> Result<&(dyn Reflect + 'static), ReflectPathError<'p>>

Returns a reference to the value specified by path. Read more
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fn reflect_path_mut<'p>( &mut self, path: impl ReflectPath<'p> ) -> Result<&mut (dyn Reflect + 'static), ReflectPathError<'p>>

Returns a mutable reference to the value specified by path. Read more
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fn path<'p, T>( &self, path: impl ReflectPath<'p> ) -> Result<&T, ReflectPathError<'p>>
where T: Reflect,

Returns a statically typed reference to the value specified by path. Read more
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fn path_mut<'p, T>( &mut self, path: impl ReflectPath<'p> ) -> Result<&mut T, ReflectPathError<'p>>
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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fn in_current_span(self) -> Instrumented<Self>

Instruments this type with the current Span, returning an Instrumented wrapper. Read more
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impl<T, U> Into<U> for T
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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impl<T> Serialize for T
where T: Serialize + ?Sized,

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fn erased_serialize(&self, serializer: &mut dyn Serializer) -> Result<(), Error>

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fn do_erased_serialize( &self, serializer: &mut dyn Serializer ) -> Result<(), ErrorImpl>

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impl<T> ToOwned for T
where T: Clone,

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type Owned = T

The resulting type after obtaining ownership.
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fn to_owned(&self) -> T

Creates owned data from borrowed data, usually by cloning. Read more
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fn clone_into(&self, target: &mut T)

Uses borrowed data to replace owned data, usually by cloning. Read more
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impl<T> ToSmolStr for T
where T: Display + ?Sized,

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impl<T> ToString for T
where T: Display + ?Sized,

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default fn to_string(&self) -> String

Converts the given value to a String. Read more
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impl<T, U> TryFrom<U> for T
where U: Into<T>,

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type Error = Infallible

The type returned in the event of a conversion error.
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Performs the conversion.
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impl<T, U> TryInto<U> for T
where U: TryFrom<T>,

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type Error = <U as TryFrom<T>>::Error

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Performs the conversion.
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where T: 'static + Send + Sync + Clone,

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impl<T> WithSubscriber for T

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fn with_subscriber<S>(self, subscriber: S) -> WithDispatch<Self>
where S: Into<Dispatch>,

Attaches the provided Subscriber to this type, returning a WithDispatch wrapper. Read more
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fn with_current_subscriber(self) -> WithDispatch<Self>

Attaches the current default Subscriber to this type, returning a WithDispatch wrapper. Read more
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impl<T> AnyBitPattern for T
where T: Pod,

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impl<T> ConditionalSend for T
where T: Send,

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impl<T> DeserializeOwned for T
where T: for<'de> Deserialize<'de>,

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impl<T> NoUninit for T
where T: Pod,