[][src]Struct cgmath::Matrix4

#[repr(C)]
pub struct Matrix4<S> { pub x: Vector4<S>, pub y: Vector4<S>, pub z: Vector4<S>, pub w: Vector4<S>, }

A 4 x 4, column major matrix

This type is marked as #[repr(C)].

Fields

x: Vector4<S>

The first column of the matrix.

y: Vector4<S>

The second column of the matrix.

z: Vector4<S>

The third column of the matrix.

w: Vector4<S>

The fourth column of the matrix.

Methods

impl<S> Matrix4<S>
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pub const fn new(
    c0r0: S,
    c0r1: S,
    c0r2: S,
    c0r3: S,
    c1r0: S,
    c1r1: S,
    c1r2: S,
    c1r3: S,
    c2r0: S,
    c2r1: S,
    c2r2: S,
    c2r3: S,
    c3r0: S,
    c3r1: S,
    c3r2: S,
    c3r3: S
) -> Matrix4<S>
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Create a new matrix, providing values for each index.

pub const fn from_cols(
    c0: Vector4<S>,
    c1: Vector4<S>,
    c2: Vector4<S>,
    c3: Vector4<S>
) -> Matrix4<S>
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Create a new matrix, providing columns.

impl<S: BaseFloat> Matrix4<S>
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pub fn from_translation(v: Vector3<S>) -> Matrix4<S>
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Create a homogeneous transformation matrix from a translation vector.

pub fn from_scale(value: S) -> Matrix4<S>
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Create a homogeneous transformation matrix from a scale value.

pub fn from_nonuniform_scale(x: S, y: S, z: S) -> Matrix4<S>
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Create a homogeneous transformation matrix from a set of scale values.

pub fn look_at_dir(
    eye: Point3<S>,
    dir: Vector3<S>,
    up: Vector3<S>
) -> Matrix4<S>
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Create a homogeneous transformation matrix that will cause a vector to point at dir, using up for orientation.

pub fn look_at(eye: Point3<S>, center: Point3<S>, up: Vector3<S>) -> Matrix4<S>
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Create a homogeneous transformation matrix that will cause a vector to point at center, using up for orientation.

pub fn from_angle_x<A: Into<Rad<S>>>(theta: A) -> Matrix4<S>
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Create a homogeneous transformation matrix from a rotation around the x axis (pitch).

pub fn from_angle_y<A: Into<Rad<S>>>(theta: A) -> Matrix4<S>
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Create a homogeneous transformation matrix from a rotation around the y axis (yaw).

pub fn from_angle_z<A: Into<Rad<S>>>(theta: A) -> Matrix4<S>
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Create a homogeneous transformation matrix from a rotation around the z axis (roll).

pub fn from_axis_angle<A: Into<Rad<S>>>(
    axis: Vector3<S>,
    angle: A
) -> Matrix4<S>
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Create a homogeneous transformation matrix from an angle around an arbitrary axis.

The specified axis must be normalized, or it represents an invalid rotation.

pub fn is_finite(&self) -> bool
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Are all entries in the matrix finite.

impl<S: NumCast + Copy> Matrix4<S>
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pub fn cast<T: NumCast>(&self) -> Option<Matrix4<T>>
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Component-wise casting to another type

Trait Implementations

impl<S: BaseFloat> VectorSpace for Matrix4<S>
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type Scalar = S

The associated scalar.

fn lerp(self, other: Self, amount: Self::Scalar) -> Self
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Returns the result of linearly interpolating the vector towards other by the specified amount. Read more

impl<S: BaseFloat> Matrix for Matrix4<S>
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type Column = Vector4<S>

The column vector of the matrix.

type Row = Vector4<S>

The row vector of the matrix.

type Transpose = Matrix4<S>

The result of transposing the matrix

fn as_ptr(&self) -> *const Self::Scalar
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Get the pointer to the first element of the array.

fn as_mut_ptr(&mut self) -> *mut Self::Scalar
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Get a mutable pointer to the first element of the array.

fn replace_col(&mut self, c: usize, src: Self::Column) -> Self::Column
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Replace a column in the array.

impl<S: BaseFloat> SquareMatrix for Matrix4<S>
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type ColumnRow = Vector4<S>

The row/column vector of the matrix. Read more

fn identity() -> Self
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The [identity matrix]. Multiplying this matrix with another should have no effect. Read more

fn trace(&self) -> Self::Scalar
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Return the trace of this matrix. That is, the sum of the diagonal.

fn is_invertible(&self) -> bool
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Test if this matrix is invertible.

fn is_identity(&self) -> bool
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Test if this matrix is the identity matrix. That is, it is diagonal and every element in the diagonal is one. Read more

impl<S: BaseFloat> Transform<Point3<S>> for Matrix4<S>
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fn inverse_transform_vector(&self, vec: P::Diff) -> Option<P::Diff>
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Inverse transform a vector using this transform

fn concat_self(&mut self, other: &Self)
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Combine this transform with another, in-place.

impl<S: BaseFloat> Transform3<S> for Matrix4<S>
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impl<A> From<Euler<A>> for Matrix4<A::Unitless> where
    A: Angle + Into<Rad<<A as Angle>::Unitless>>, 
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impl<S: Copy> From<[[S; 4]; 4]> for Matrix4<S>
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impl<'a, S> From<&'a [[S; 4]; 4]> for &'a Matrix4<S>
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impl<'a, S> From<&'a mut [[S; 4]; 4]> for &'a mut Matrix4<S>
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impl<'a, S> From<&'a [S; 16]> for &'a Matrix4<S>
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impl<'a, S> From<&'a mut [S; 16]> for &'a mut Matrix4<S>
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impl<S: BaseFloat> From<Matrix2<S>> for Matrix4<S>
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fn from(m: Matrix2<S>) -> Matrix4<S>
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Clone the elements of a 2-dimensional matrix into the top-left corner of a 4-dimensional identity matrix.

impl<S: BaseFloat> From<Matrix3<S>> for Matrix4<S>
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fn from(m: Matrix3<S>) -> Matrix4<S>
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Clone the elements of a 3-dimensional matrix into the top-left corner of a 4-dimensional identity matrix.

impl<S: BaseFloat> From<Quaternion<S>> for Matrix4<S>
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fn from(quat: Quaternion<S>) -> Matrix4<S>
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Convert the quaternion to a 4 x 4 rotation matrix.

impl<S: BaseFloat, R: Rotation3<S>> From<Decomposed<Vector3<S>, R>> for Matrix4<S>
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impl<S: BaseFloat> From<PerspectiveFov<S>> for Matrix4<S>
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impl<S: BaseFloat> From<Perspective<S>> for Matrix4<S>
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impl<S: BaseFloat> From<Ortho<S>> for Matrix4<S>
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impl<S> Into<[[S; 4]; 4]> for Matrix4<S>
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impl<S> AsMut<[[S; 4]; 4]> for Matrix4<S>
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impl<S> AsMut<[S; 16]> for Matrix4<S>
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impl<S: Copy> Copy for Matrix4<S>
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impl<S: PartialEq> PartialEq<Matrix4<S>> for Matrix4<S>
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impl<S> AsRef<[[S; 4]; 4]> for Matrix4<S>
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impl<S> AsRef<[S; 16]> for Matrix4<S>
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impl<S: Clone> Clone for Matrix4<S>
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fn clone_from(&mut self, source: &Self)
1.0.0
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Performs copy-assignment from source. Read more

impl<S: Debug> Debug for Matrix4<S>
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impl<S: BaseFloat> Add<Matrix4<S>> for Matrix4<S>
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type Output = Matrix4<S>

The resulting type after applying the + operator.

impl<'a, S: BaseFloat> Add<&'a Matrix4<S>> for Matrix4<S>
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type Output = Matrix4<S>

The resulting type after applying the + operator.

impl<'a, S: BaseFloat> Add<Matrix4<S>> for &'a Matrix4<S>
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type Output = Matrix4<S>

The resulting type after applying the + operator.

impl<'a, 'b, S: BaseFloat> Add<&'a Matrix4<S>> for &'b Matrix4<S>
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type Output = Matrix4<S>

The resulting type after applying the + operator.

impl<S: BaseFloat> Sub<Matrix4<S>> for Matrix4<S>
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type Output = Matrix4<S>

The resulting type after applying the - operator.

impl<'a, S: BaseFloat> Sub<&'a Matrix4<S>> for Matrix4<S>
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type Output = Matrix4<S>

The resulting type after applying the - operator.

impl<'a, S: BaseFloat> Sub<Matrix4<S>> for &'a Matrix4<S>
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type Output = Matrix4<S>

The resulting type after applying the - operator.

impl<'a, 'b, S: BaseFloat> Sub<&'a Matrix4<S>> for &'b Matrix4<S>
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type Output = Matrix4<S>

The resulting type after applying the - operator.

impl<S: BaseFloat> Mul<S> for Matrix4<S>
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type Output = Matrix4<S>

The resulting type after applying the * operator.

impl<'a, S: BaseFloat> Mul<S> for &'a Matrix4<S>
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type Output = Matrix4<S>

The resulting type after applying the * operator.

impl Mul<Matrix4<usize>> for usize
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type Output = Matrix4<usize>

The resulting type after applying the * operator.

impl<'a> Mul<&'a Matrix4<usize>> for usize
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type Output = Matrix4<usize>

The resulting type after applying the * operator.

impl Mul<Matrix4<u8>> for u8
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type Output = Matrix4<u8>

The resulting type after applying the * operator.

impl<'a> Mul<&'a Matrix4<u8>> for u8
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type Output = Matrix4<u8>

The resulting type after applying the * operator.

impl Mul<Matrix4<u16>> for u16
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type Output = Matrix4<u16>

The resulting type after applying the * operator.

impl<'a> Mul<&'a Matrix4<u16>> for u16
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type Output = Matrix4<u16>

The resulting type after applying the * operator.

impl Mul<Matrix4<u32>> for u32
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type Output = Matrix4<u32>

The resulting type after applying the * operator.

impl<'a> Mul<&'a Matrix4<u32>> for u32
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type Output = Matrix4<u32>

The resulting type after applying the * operator.

impl Mul<Matrix4<u64>> for u64
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type Output = Matrix4<u64>

The resulting type after applying the * operator.

impl<'a> Mul<&'a Matrix4<u64>> for u64
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type Output = Matrix4<u64>

The resulting type after applying the * operator.

impl Mul<Matrix4<isize>> for isize
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type Output = Matrix4<isize>

The resulting type after applying the * operator.

impl<'a> Mul<&'a Matrix4<isize>> for isize
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type Output = Matrix4<isize>

The resulting type after applying the * operator.

impl Mul<Matrix4<i8>> for i8
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type Output = Matrix4<i8>

The resulting type after applying the * operator.

impl<'a> Mul<&'a Matrix4<i8>> for i8
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type Output = Matrix4<i8>

The resulting type after applying the * operator.

impl Mul<Matrix4<i16>> for i16
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type Output = Matrix4<i16>

The resulting type after applying the * operator.

impl<'a> Mul<&'a Matrix4<i16>> for i16
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type Output = Matrix4<i16>

The resulting type after applying the * operator.

impl Mul<Matrix4<i32>> for i32
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type Output = Matrix4<i32>

The resulting type after applying the * operator.

impl<'a> Mul<&'a Matrix4<i32>> for i32
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type Output = Matrix4<i32>

The resulting type after applying the * operator.

impl Mul<Matrix4<i64>> for i64
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type Output = Matrix4<i64>

The resulting type after applying the * operator.

impl<'a> Mul<&'a Matrix4<i64>> for i64
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type Output = Matrix4<i64>

The resulting type after applying the * operator.

impl Mul<Matrix4<f32>> for f32
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type Output = Matrix4<f32>

The resulting type after applying the * operator.

impl<'a> Mul<&'a Matrix4<f32>> for f32
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type Output = Matrix4<f32>

The resulting type after applying the * operator.

impl Mul<Matrix4<f64>> for f64
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type Output = Matrix4<f64>

The resulting type after applying the * operator.

impl<'a> Mul<&'a Matrix4<f64>> for f64
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type Output = Matrix4<f64>

The resulting type after applying the * operator.

impl<S: BaseFloat> Mul<Vector4<S>> for Matrix4<S>
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type Output = Vector4<S>

The resulting type after applying the * operator.

impl<'a, S: BaseFloat> Mul<&'a Vector4<S>> for Matrix4<S>
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type Output = Vector4<S>

The resulting type after applying the * operator.

impl<'a, S: BaseFloat> Mul<Vector4<S>> for &'a Matrix4<S>
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type Output = Vector4<S>

The resulting type after applying the * operator.

impl<'a, 'b, S: BaseFloat> Mul<&'a Vector4<S>> for &'b Matrix4<S>
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type Output = Vector4<S>

The resulting type after applying the * operator.

impl<S: BaseFloat> Mul<Matrix4<S>> for Matrix4<S>
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type Output = Matrix4<S>

The resulting type after applying the * operator.

impl<'a, S: BaseFloat> Mul<&'a Matrix4<S>> for Matrix4<S>
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type Output = Matrix4<S>

The resulting type after applying the * operator.

impl<'a, S: BaseFloat> Mul<Matrix4<S>> for &'a Matrix4<S>
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type Output = Matrix4<S>

The resulting type after applying the * operator.

impl<'a, 'b, S: BaseFloat> Mul<&'a Matrix4<S>> for &'b Matrix4<S>
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type Output = Matrix4<S>

The resulting type after applying the * operator.

impl<S: BaseFloat> Div<S> for Matrix4<S>
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type Output = Matrix4<S>

The resulting type after applying the / operator.

impl<'a, S: BaseFloat> Div<S> for &'a Matrix4<S>
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type Output = Matrix4<S>

The resulting type after applying the / operator.

impl Div<Matrix4<usize>> for usize
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type Output = Matrix4<usize>

The resulting type after applying the / operator.

impl<'a> Div<&'a Matrix4<usize>> for usize
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type Output = Matrix4<usize>

The resulting type after applying the / operator.

impl Div<Matrix4<u8>> for u8
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type Output = Matrix4<u8>

The resulting type after applying the / operator.

impl<'a> Div<&'a Matrix4<u8>> for u8
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type Output = Matrix4<u8>

The resulting type after applying the / operator.

impl Div<Matrix4<u16>> for u16
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type Output = Matrix4<u16>

The resulting type after applying the / operator.

impl<'a> Div<&'a Matrix4<u16>> for u16
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type Output = Matrix4<u16>

The resulting type after applying the / operator.

impl Div<Matrix4<u32>> for u32
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type Output = Matrix4<u32>

The resulting type after applying the / operator.

impl<'a> Div<&'a Matrix4<u32>> for u32
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type Output = Matrix4<u32>

The resulting type after applying the / operator.

impl Div<Matrix4<u64>> for u64
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type Output = Matrix4<u64>

The resulting type after applying the / operator.

impl<'a> Div<&'a Matrix4<u64>> for u64
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type Output = Matrix4<u64>

The resulting type after applying the / operator.

impl Div<Matrix4<isize>> for isize
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type Output = Matrix4<isize>

The resulting type after applying the / operator.

impl<'a> Div<&'a Matrix4<isize>> for isize
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type Output = Matrix4<isize>

The resulting type after applying the / operator.

impl Div<Matrix4<i8>> for i8
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type Output = Matrix4<i8>

The resulting type after applying the / operator.

impl<'a> Div<&'a Matrix4<i8>> for i8
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type Output = Matrix4<i8>

The resulting type after applying the / operator.

impl Div<Matrix4<i16>> for i16
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type Output = Matrix4<i16>

The resulting type after applying the / operator.

impl<'a> Div<&'a Matrix4<i16>> for i16
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type Output = Matrix4<i16>

The resulting type after applying the / operator.

impl Div<Matrix4<i32>> for i32
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type Output = Matrix4<i32>

The resulting type after applying the / operator.

impl<'a> Div<&'a Matrix4<i32>> for i32
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type Output = Matrix4<i32>

The resulting type after applying the / operator.

impl Div<Matrix4<i64>> for i64
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type Output = Matrix4<i64>

The resulting type after applying the / operator.

impl<'a> Div<&'a Matrix4<i64>> for i64
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type Output = Matrix4<i64>

The resulting type after applying the / operator.

impl Div<Matrix4<f32>> for f32
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type Output = Matrix4<f32>

The resulting type after applying the / operator.

impl<'a> Div<&'a Matrix4<f32>> for f32
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type Output = Matrix4<f32>

The resulting type after applying the / operator.

impl Div<Matrix4<f64>> for f64
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type Output = Matrix4<f64>

The resulting type after applying the / operator.

impl<'a> Div<&'a Matrix4<f64>> for f64
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type Output = Matrix4<f64>

The resulting type after applying the / operator.

impl<S: BaseFloat> Rem<S> for Matrix4<S>
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type Output = Matrix4<S>

The resulting type after applying the % operator.

impl<'a, S: BaseFloat> Rem<S> for &'a Matrix4<S>
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type Output = Matrix4<S>

The resulting type after applying the % operator.

impl Rem<Matrix4<usize>> for usize
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type Output = Matrix4<usize>

The resulting type after applying the % operator.

impl<'a> Rem<&'a Matrix4<usize>> for usize
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type Output = Matrix4<usize>

The resulting type after applying the % operator.

impl Rem<Matrix4<u8>> for u8
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type Output = Matrix4<u8>

The resulting type after applying the % operator.

impl<'a> Rem<&'a Matrix4<u8>> for u8
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type Output = Matrix4<u8>

The resulting type after applying the % operator.

impl Rem<Matrix4<u16>> for u16
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type Output = Matrix4<u16>

The resulting type after applying the % operator.

impl<'a> Rem<&'a Matrix4<u16>> for u16
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type Output = Matrix4<u16>

The resulting type after applying the % operator.

impl Rem<Matrix4<u32>> for u32
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type Output = Matrix4<u32>

The resulting type after applying the % operator.

impl<'a> Rem<&'a Matrix4<u32>> for u32
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type Output = Matrix4<u32>

The resulting type after applying the % operator.

impl Rem<Matrix4<u64>> for u64
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type Output = Matrix4<u64>

The resulting type after applying the % operator.

impl<'a> Rem<&'a Matrix4<u64>> for u64
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type Output = Matrix4<u64>

The resulting type after applying the % operator.

impl Rem<Matrix4<isize>> for isize
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type Output = Matrix4<isize>

The resulting type after applying the % operator.

impl<'a> Rem<&'a Matrix4<isize>> for isize
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type Output = Matrix4<isize>

The resulting type after applying the % operator.

impl Rem<Matrix4<i8>> for i8
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type Output = Matrix4<i8>

The resulting type after applying the % operator.

impl<'a> Rem<&'a Matrix4<i8>> for i8
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type Output = Matrix4<i8>

The resulting type after applying the % operator.

impl Rem<Matrix4<i16>> for i16
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type Output = Matrix4<i16>

The resulting type after applying the % operator.

impl<'a> Rem<&'a Matrix4<i16>> for i16
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type Output = Matrix4<i16>

The resulting type after applying the % operator.

impl Rem<Matrix4<i32>> for i32
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type Output = Matrix4<i32>

The resulting type after applying the % operator.

impl<'a> Rem<&'a Matrix4<i32>> for i32
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type Output = Matrix4<i32>

The resulting type after applying the % operator.

impl Rem<Matrix4<i64>> for i64
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type Output = Matrix4<i64>

The resulting type after applying the % operator.

impl<'a> Rem<&'a Matrix4<i64>> for i64
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type Output = Matrix4<i64>

The resulting type after applying the % operator.

impl Rem<Matrix4<f32>> for f32
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type Output = Matrix4<f32>

The resulting type after applying the % operator.

impl<'a> Rem<&'a Matrix4<f32>> for f32
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type Output = Matrix4<f32>

The resulting type after applying the % operator.

impl Rem<Matrix4<f64>> for f64
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type Output = Matrix4<f64>

The resulting type after applying the % operator.

impl<'a> Rem<&'a Matrix4<f64>> for f64
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type Output = Matrix4<f64>

The resulting type after applying the % operator.

impl<S: BaseFloat> Neg for Matrix4<S>
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type Output = Matrix4<S>

The resulting type after applying the - operator.

impl<'a, S: BaseFloat> Neg for &'a Matrix4<S>
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type Output = Matrix4<S>

The resulting type after applying the - operator.

impl<S: BaseFloat + AddAssign<S>> AddAssign<Matrix4<S>> for Matrix4<S>
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impl<S: BaseFloat + SubAssign<S>> SubAssign<Matrix4<S>> for Matrix4<S>
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impl<S: BaseFloat + MulAssign<S>> MulAssign<S> for Matrix4<S>
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impl<S: BaseFloat + DivAssign<S>> DivAssign<S> for Matrix4<S>
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impl<S: BaseFloat + RemAssign<S>> RemAssign<S> for Matrix4<S>
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impl<S> Index<usize> for Matrix4<S>
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type Output = Vector4<S>

The returned type after indexing.

impl<S> IndexMut<usize> for Matrix4<S>
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impl<S: BaseFloat> Product<Matrix4<S>> for Matrix4<S>
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impl<'a, S: 'a + BaseFloat> Product<&'a Matrix4<S>> for Matrix4<S>
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impl<S: BaseFloat> Sum<Matrix4<S>> for Matrix4<S>
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impl<'a, S: 'a + BaseFloat> Sum<&'a Matrix4<S>> for Matrix4<S>
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impl<S: BaseFloat> AbsDiffEq for Matrix4<S>
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type Epsilon = S::Epsilon

Used for specifying relative comparisons.

fn abs_diff_ne(&self, other: &Self, epsilon: Self::Epsilon) -> bool
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The inverse of ApproxEq::abs_diff_eq.

impl<S: BaseFloat> RelativeEq for Matrix4<S>
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fn relative_ne(
    &self,
    other: &Self,
    epsilon: Self::Epsilon,
    max_relative: Self::Epsilon
) -> bool
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The inverse of ApproxEq::relative_eq.

impl<S: BaseFloat> UlpsEq for Matrix4<S>
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fn ulps_ne(&self, other: &Self, epsilon: Self::Epsilon, max_ulps: u32) -> bool
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The inverse of ApproxEq::ulps_eq.

impl<S: BaseFloat> Zero for Matrix4<S>
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impl<S: BaseFloat> One for Matrix4<S>
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fn is_one(&self) -> bool where
    Self: PartialEq<Self>, 
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Returns true if self is equal to the multiplicative identity. Read more

impl<S> Distribution<Matrix4<S>> for Standard where
    Standard: Distribution<Vector4<S>>,
    S: BaseFloat
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fn sample_iter<R>(&'a self, rng: &'a mut R) -> DistIter<'a, Self, R, T> where
    R: Rng
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Create an iterator that generates random values of T, using rng as the source of randomness. Read more

Auto Trait Implementations

impl<S> Send for Matrix4<S> where
    S: Send

impl<S> Sync for Matrix4<S> where
    S: Sync

Blanket Implementations

impl<T> From for T
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impl<T, U> Into for T where
    U: From<T>, 
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impl<T> ToOwned for T where
    T: Clone
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type Owned = T

impl<T, U> TryFrom for T where
    T: From<U>, 
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type Error = !

🔬 This is a nightly-only experimental API. (try_from)

The type returned in the event of a conversion error.

impl<T> Borrow for T where
    T: ?Sized
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impl<T> BorrowMut for T where
    T: ?Sized
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impl<T, U> TryInto for T where
    U: TryFrom<T>, 
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type Error = <U as TryFrom<T>>::Error

🔬 This is a nightly-only experimental API. (try_from)

The type returned in the event of a conversion error.

impl<T> Any for T where
    T: 'static + ?Sized
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impl<T, Rhs, Output> NumOps for T where
    T: Sub<Rhs, Output = Output> + Mul<Rhs, Output = Output> + Div<Rhs, Output = Output> + Add<Rhs, Output = Output> + Rem<Rhs, Output = Output>, 
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impl<T, Rhs> NumAssignOps for T where
    T: AddAssign<Rhs> + SubAssign<Rhs> + MulAssign<Rhs> + DivAssign<Rhs> + RemAssign<Rhs>, 
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