[−][src]Struct glam::Mat3
A 3x3 column major matrix.
This type is 16 byte aligned.
Implementations
impl Mat3
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pub fn zero() -> Self
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Creates a 3x3 matrix with all elements set to 0.0
.
pub fn identity() -> Self
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Creates a 3x3 identity matrix.
pub fn from_cols(x_axis: Vec3, y_axis: Vec3, z_axis: Vec3) -> Self
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Creates a 3x3 matrix from three column vectors.
pub fn from_cols_array(m: &[f32; 9]) -> Self
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Creates a 3x3 matrix from a [f32; 9]
stored in column major order.
If your data is stored in row major you will need to transpose
the
returned matrix.
pub fn to_cols_array(&self) -> [f32; 9]
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Creates a [f32; 9]
storing data in column major order.
If you require data in row major order transpose
the matrix first.
pub fn from_cols_array_2d(m: &[[f32; 3]; 3]) -> Self
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Creates a 3x3 matrix from a [[f32; 3]; 3]
stored in column major order.
If your data is in row major order you will need to transpose
the
returned matrix.
pub fn to_cols_array_2d(&self) -> [[f32; 3]; 3]
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Creates a [[f32; 3]; 3]
storing data in column major order.
If you require data in row major order transpose
the matrix first.
pub fn from_scale_angle_translation(
scale: Vec2,
angle: f32,
translation: Vec2
) -> Self
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scale: Vec2,
angle: f32,
translation: Vec2
) -> Self
Creates a 3x3 homogeneous transformation matrix from the given scale
,
rotation angle
(in radians) and translation
.
The resulting matrix can be used to transform 2D points and vectors.
pub fn from_quat(rotation: Quat) -> Self
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Creates a 3x3 rotation matrix from the given quaternion.
pub fn from_axis_angle(axis: Vec3, angle: f32) -> Self
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Creates a 3x3 rotation matrix from a normalized rotation axis
and
angle
(in radians).
pub fn from_rotation_ypr(yaw: f32, pitch: f32, roll: f32) -> Self
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Creates a 3x3 rotation matrix from the given Euler angles (in radians).
pub fn from_rotation_x(angle: f32) -> Self
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Creates a 3x3 rotation matrix from angle
(in radians) around the x axis.
pub fn from_rotation_y(angle: f32) -> Self
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Creates a 3x3 rotation matrix from angle
(in radians) around the y axis.
pub fn from_rotation_z(angle: f32) -> Self
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Creates a 3x3 rotation matrix from angle
(in radians) around the z axis.
pub fn from_scale(scale: Vec3) -> Self
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Creates a 3x3 non-uniform scale matrix.
pub fn set_x_axis(&mut self, x: Vec3)
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pub fn set_y_axis(&mut self, y: Vec3)
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pub fn set_z_axis(&mut self, z: Vec3)
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pub fn x_axis(&self) -> Vec3
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pub fn y_axis(&self) -> Vec3
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pub fn z_axis(&self) -> Vec3
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pub fn x_axis_mut(&mut self) -> &mut Vec3
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pub fn y_axis_mut(&mut self) -> &mut Vec3
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pub fn z_axis_mut(&mut self) -> &mut Vec3
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pub fn transpose(&self) -> Self
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Returns the transpose of self
.
pub fn determinant(&self) -> f32
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Returns the determinant of self
.
pub fn inverse(&self) -> Self
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Returns the inverse of self
.
If the matrix is not invertible the returned matrix will be invalid.
pub fn mul_vec3(&self, other: Vec3) -> Vec3
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Transforms a 3D vector.
pub fn mul_mat3(&self, other: &Self) -> Self
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Multiplies two 3x3 matrices.
pub fn add_mat3(&self, other: &Self) -> Self
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Adds two 3x3 matrices.
pub fn sub_mat3(&self, other: &Self) -> Self
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Subtracts two 3x3 matrices.
pub fn mul_scalar(&self, other: f32) -> Self
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Multiplies a 3x3 matrix by a scalar.
pub fn transform_point2(&self, other: Vec2) -> Vec2
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Transforms the given Vec2
as 2D point.
This is the equivalent of multiplying the Vec2
as a Vec3
where w
is 1.0
.
pub fn transform_vector2(&self, other: Vec2) -> Vec2
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Transforms the given Vec2
as 2D vector.
This is the equivalent of multiplying the Vec2
as a Vec3
where w
is 0.0
.
pub fn abs_diff_eq(&self, other: Self, max_abs_diff: f32) -> bool
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Returns true if the absolute difference of all elements between self
and other
is less than or equal to max_abs_diff
.
This can be used to compare if two Mat3
's 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 on floating point comparisons see https://randomascii.wordpress.com/2012/02/25/comparing-floating-point-numbers-2012-edition/
Trait Implementations
impl Add<Mat3> for Mat3
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type Output = Self
The resulting type after applying the +
operator.
fn add(self, other: Self) -> Self
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impl Clone for Mat3
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impl Copy for Mat3
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impl Debug for Mat3
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impl Default for Mat3
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impl Display for Mat3
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impl Mul<Mat3> for Mat3
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type Output = Self
The resulting type after applying the *
operator.
fn mul(self, other: Self) -> Self
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impl Mul<Mat3> for f32
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type Output = Mat3
The resulting type after applying the *
operator.
fn mul(self, other: Mat3) -> Mat3
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impl Mul<Vec3> for Mat3
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type Output = Vec3
The resulting type after applying the *
operator.
fn mul(self, other: Vec3) -> Vec3
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impl Mul<Vec3A> for Mat3
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type Output = Vec3A
The resulting type after applying the *
operator.
fn mul(self, other: Vec3A) -> Vec3A
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impl Mul<f32> for Mat3
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type Output = Self
The resulting type after applying the *
operator.
fn mul(self, other: f32) -> Self
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impl PartialEq<Mat3> for Mat3
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impl PartialOrd<Mat3> for Mat3
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fn partial_cmp(&self, other: &Mat3) -> Option<Ordering>
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fn lt(&self, other: &Mat3) -> bool
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fn le(&self, other: &Mat3) -> bool
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fn gt(&self, other: &Mat3) -> bool
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fn ge(&self, other: &Mat3) -> bool
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impl StructuralPartialEq for Mat3
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impl Sub<Mat3> for Mat3
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Auto Trait Implementations
impl RefUnwindSafe for Mat3
impl Send for Mat3
impl Sync for Mat3
impl Unpin for Mat3
impl UnwindSafe for Mat3
Blanket Implementations
impl<T> Any for T where
T: 'static + ?Sized,
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T: 'static + ?Sized,
impl<T> Borrow<T> for T where
T: ?Sized,
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T: ?Sized,
impl<T> BorrowMut<T> for T where
T: ?Sized,
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T: ?Sized,
fn borrow_mut(&mut self) -> &mut T
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impl<T> From<T> for T
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impl<T, U> Into<U> for T where
U: From<T>,
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U: From<T>,
impl<T> ToOwned for T where
T: Clone,
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T: Clone,
type Owned = T
The resulting type after obtaining ownership.
fn to_owned(&self) -> T
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fn clone_into(&self, target: &mut T)
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impl<T> ToString for T where
T: Display + ?Sized,
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T: Display + ?Sized,
impl<T, U> TryFrom<U> for T where
U: Into<T>,
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U: Into<T>,
type Error = Infallible
The type returned in the event of a conversion error.
fn try_from(value: U) -> Result<T, <T as TryFrom<U>>::Error>
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impl<T, U> TryInto<U> for T where
U: TryFrom<T>,
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U: TryFrom<T>,