Struct cgmath::Matrix3

[+] Show declaration

[+] Expand attributes
#[repr(C)]
pub struct Matrix3<S> {
    pub x: Vector3<S>,
    pub y: Vector3<S>,
    pub z: Vector3<S>,
}

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A 3 x 3, column major matrix

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

Fields

x: Vector3<S>

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The first column of the matrix.

y: Vector3<S>

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The second column of the matrix.

z: Vector3<S>

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The third column of the matrix.

Methods

impl<S: BaseFloat> Matrix3<S>[−]

pub fn new(
    c0r0: S,
    c0r1: S,
    c0r2: S,
    c1r0: S,
    c1r1: S,
    c1r2: S,
    c2r0: S,
    c2r1: S,
    c2r2: S
) -> Matrix3<S>[−]

Create a new matrix, providing values for each index.

pub fn from_cols(c0: Vector3<S>, c1: Vector3<S>, c2: Vector3<S>) -> Matrix3<S>[−]

Create a new matrix, providing columns.

pub fn look_at(dir: Vector3<S>, up: Vector3<S>) -> Matrix3<S>[−]

Create a rotation matrix that will cause a vector to point at dir, using up for orientation.

pub fn from_angle_x<A: Into<Rad<S>>>(theta: A) -> Matrix3<S>[−]

Create a rotation matrix from a rotation around the x axis (pitch).

pub fn from_angle_y<A: Into<Rad<S>>>(theta: A) -> Matrix3<S>[−]

Create a rotation matrix from a rotation around the y axis (yaw).

pub fn from_angle_z<A: Into<Rad<S>>>(theta: A) -> Matrix3<S>[−]

Create a rotation matrix from a rotation around the z axis (roll).

pub fn from_axis_angle<A: Into<Rad<S>>>(
    axis: Vector3<S>,
    angle: A
) -> Matrix3<S>[−]

Create a rotation matrix from an angle around an arbitrary axis.

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

impl<S: NumCast + Copy> Matrix3<S>[−]

pub fn cast<T: NumCast>(&self) -> Option<Matrix3<T>>[−]

Component-wise casting to another type

Trait Implementations

impl<S: BaseFloat> VectorSpace for Matrix3<S>

type Scalar = S

The associated scalar.

impl<S: BaseFloat> Matrix for Matrix3<S>[+]

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type Column = Vector3<S>

The column vector of the matrix.

type Row = Vector3<S>

The row vector of the matrix.

type Transpose = Matrix3<S>

The result of transposing the matrix

fn row(&self, r: usize) -> Vector3<S>[−]

Get a row from this matrix by-value.

fn swap_rows(&mut self, a: usize, b: usize)[−]

Swap two rows of this array.

fn swap_columns(&mut self, a: usize, b: usize)[−]

Swap two columns of this array.

fn swap_elements(&mut self, a: (usize, usize), b: (usize, usize))[−]

Swap the values at index a and b

fn transpose(&self) -> Matrix3<S>[−]

Transpose this matrix, returning a new matrix.

fn as_ptr(&self) -> *const Self::Scalar[−]

Get the pointer to the first element of the array.

fn as_mut_ptr(&mut self) -> *mut Self::Scalar[−]

Get a mutable pointer to the first element of the array.

fn replace_col(&mut self, c: usize, src: Self::Column) -> Self::Column[−]

Replace a column in the array.

impl<S: BaseFloat> SquareMatrix for Matrix3<S>[+]

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type ColumnRow = Vector3<S>

The row/column vector of the matrix.

fn from_value(value: S) -> Matrix3<S>[−]

Create a new diagonal matrix using the supplied value.

fn from_diagonal(value: Vector3<S>) -> Matrix3<S>[−]

Create a matrix from a non-uniform scale

fn transpose_self(&mut self)[−]

Transpose this matrix in-place.

fn determinant(&self) -> S[−]

Take the determinant of this matrix.

fn diagonal(&self) -> Vector3<S>[−]

Return a vector containing the diagonal of this matrix.

fn invert(&self) -> Option<Matrix3<S>>[−]

Invert this matrix, returning a new matrix. m.mul_m(m.invert()) is the identity matrix. Returns None if this matrix is not invertible (has a determinant of zero).

fn is_diagonal(&self) -> bool[−]

Test if this is a diagonal matrix. That is, every element outside of the diagonal is 0.

fn is_symmetric(&self) -> bool[−]

Test if this matrix is symmetric. That is, it is equal to its transpose.

fn identity() -> Self[−]

The [identity matrix]. Multiplying this matrix with another should have no effect.

fn trace(&self) -> Self::Scalar[−]

Return the trace of this matrix. That is, the sum of the diagonal.

fn is_invertible(&self) -> bool[−]

Test if this matrix is invertible.

fn is_identity(&self) -> bool[−]

Test if this matrix is the identity matrix. That is, it is diagonal and every element in the diagonal is one.

impl<S: BaseFloat> Transform<Point2<S>> for Matrix3<S>[+]

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fn one() -> Matrix3<S>[−]

Create an identity transformation. That is, a transformation which does nothing.

fn look_at(eye: Point2<S>, center: Point2<S>, up: Vector2<S>) -> Matrix3<S>[−]

Create a transformation that rotates a vector to look at center from eye, using up for orientation.

fn transform_vector(&self, vec: Vector2<S>) -> Vector2<S>[−]

Transform a vector using this transform.

fn transform_point(&self, point: Point2<S>) -> Point2<S>[−]

Transform a point using this transform.

fn concat(&self, other: &Matrix3<S>) -> Matrix3<S>[−]

Combine this transform with another, yielding a new transformation which has the effects of both.

fn inverse_transform(&self) -> Option<Matrix3<S>>[−]

Create a transform that "un-does" this one.

fn inverse_transform_vector(&self, vec: P::Diff) -> Option<P::Diff>[−]

Inverse transform a vector using this transform

fn concat_self(&mut self, other: &Self)[−]

Combine this transform with another, in-place.

impl<S: BaseFloat> Transform<Point3<S>> for Matrix3<S>[+]

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fn one() -> Matrix3<S>[−]

Create an identity transformation. That is, a transformation which does nothing.

fn look_at(eye: Point3<S>, center: Point3<S>, up: Vector3<S>) -> Matrix3<S>[−]

Create a transformation that rotates a vector to look at center from eye, using up for orientation.

fn transform_vector(&self, vec: Vector3<S>) -> Vector3<S>[−]

Transform a vector using this transform.

fn transform_point(&self, point: Point3<S>) -> Point3<S>[−]

Transform a point using this transform.

fn concat(&self, other: &Matrix3<S>) -> Matrix3<S>[−]

Combine this transform with another, yielding a new transformation which has the effects of both.

fn inverse_transform(&self) -> Option<Matrix3<S>>[−]

Create a transform that "un-does" this one.

fn inverse_transform_vector(&self, vec: P::Diff) -> Option<P::Diff>[−]

Inverse transform a vector using this transform

fn concat_self(&mut self, other: &Self)[−]

Combine this transform with another, in-place.

impl<S: BaseFloat> Transform2<S> for Matrix3<S>

impl<S: BaseFloat> Transform3<S> for Matrix3<S>

impl<S: Copy> Copy for Matrix3<S>

impl<S> AsRef<[[S; 3]; 3]> for Matrix3<S>[+]

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fn as_ref(&self) -> &[[S; 3]; 3][−]

Performs the conversion.

impl<S> AsRef<[S; 9]> for Matrix3<S>[+]

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fn as_ref(&self) -> &[S; 9][−]

Performs the conversion.

impl<S> AsRef<Matrix3<S>> for Basis3<S>[+]

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fn as_ref(&self) -> &Matrix3<S>[−]

Performs the conversion.

impl<S: Clone> Clone for Matrix3<S>[+]

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fn clone(&self) -> Matrix3<S>[−]

Returns a copy of the value.

fn clone_from(&mut self, source: &Self)[−]

Performs copy-assignment from source.

impl<S: PartialEq> PartialEq<Matrix3<S>> for Matrix3<S>[+]

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fn eq(&self, other: &Matrix3<S>) -> bool[−]

This method tests for self and other values to be equal, and is used by ==.

fn ne(&self, other: &Matrix3<S>) -> bool[−]

This method tests for !=.

impl<A> From<Euler<A>> for Matrix3<A::Unitless> where
    A: Angle + Into<Rad<<A as Angle>::Unitless>>, [+]

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fn from(src: Euler<A>) -> Matrix3<A::Unitless>[−]

Performs the conversion.

impl<S: Copy> From<[[S; 3]; 3]> for Matrix3<S>[+]

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fn from(m: [[S; 3]; 3]) -> Matrix3<S>[−]

Performs the conversion.

impl<'a, S> From<&'a [[S; 3]; 3]> for &'a Matrix3<S>[+]

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fn from(m: &'a [[S; 3]; 3]) -> &'a Matrix3<S>[−]

Performs the conversion.

impl<'a, S> From<&'a mut [[S; 3]; 3]> for &'a mut Matrix3<S>[+]

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fn from(m: &'a mut [[S; 3]; 3]) -> &'a mut Matrix3<S>[−]

Performs the conversion.

impl<'a, S> From<&'a [S; 9]> for &'a Matrix3<S>[+]

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fn from(m: &'a [S; 9]) -> &'a Matrix3<S>[−]

Performs the conversion.

impl<'a, S> From<&'a mut [S; 9]> for &'a mut Matrix3<S>[+]

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fn from(m: &'a mut [S; 9]) -> &'a mut Matrix3<S>[−]

Performs the conversion.

impl<S> From<ColumnMatrix3<S>> for Matrix3<S>[+]

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fn from(m: ColumnMatrix3<S>) -> Self[−]

Performs the conversion.

impl<S: BaseFloat> From<Matrix2<S>> for Matrix3<S>[+]

fn from(m: Matrix2<S>) -> Matrix3<S>[−]

Clone the elements of a 2-dimensional matrix into the top-left corner of a 3-dimensional identity matrix.

impl<S: BaseFloat> From<Matrix3<S>> for Matrix4<S>[+]

fn from(m: Matrix3<S>) -> Matrix4<S>[−]

Clone the elements of a 3-dimensional matrix into the top-left corner of a 4-dimensional identity matrix.

impl<S: BaseFloat> From<Matrix3<S>> for Quaternion<S>[+]

fn from(mat: Matrix3<S>) -> Quaternion<S>[−]

Convert the matrix to a quaternion

impl<S: BaseFloat> From<Quaternion<S>> for Matrix3<S>[+]

fn from(quat: Quaternion<S>) -> Matrix3<S>[−]

Convert the quaternion to a 3 x 3 rotation matrix.

impl<S: BaseFloat> From<Basis3<S>> for Matrix3<S>[+]

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fn from(b: Basis3<S>) -> Matrix3<S>[−]

Performs the conversion.

impl<S: BaseFloat, R: Rotation2<S>> From<Decomposed<Vector2<S>, R>> for Matrix3<S>[+]

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fn from(dec: Decomposed<Vector2<S>, R>) -> Matrix3<S>[−]

Performs the conversion.

impl<S> Into<[[S; 3]; 3]> for Matrix3<S>[+]

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fn into(self) -> [[S; 3]; 3][−]

Performs the conversion.

impl<S: Clone> Into<ColumnMatrix3<S>> for Matrix3<S>[+]

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fn into(self) -> ColumnMatrix3<S>[−]

Performs the conversion.

impl<S> AsMut<[[S; 3]; 3]> for Matrix3<S>[+]

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fn as_mut(&mut self) -> &mut [[S; 3]; 3][−]

Performs the conversion.

impl<S> AsMut<[S; 9]> for Matrix3<S>[+]

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

Performs the conversion.

impl<S: Debug> Debug for Matrix3<S>[+]

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fn fmt(&self, f: &mut Formatter) -> Result[−]

Formats the value using the given formatter.

impl<S: BaseFloat> Rem<S> for Matrix3<S>[+]

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type Output = Matrix3<S>

The resulting type after applying the % operator.

fn rem(self, other: S) -> Matrix3<S>[−]

Performs the % operation.

impl<'a, S: BaseFloat> Rem<S> for &'a Matrix3<S>[+]

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type Output = Matrix3<S>

The resulting type after applying the % operator.

fn rem(self, other: S) -> Matrix3<S>[−]

Performs the % operation.

impl Rem<Matrix3<usize>> for usize[+]

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type Output = Matrix3<usize>

The resulting type after applying the % operator.

fn rem(self, other: Matrix3<usize>) -> Matrix3<usize>[−]

Performs the % operation.

impl<'a> Rem<&'a Matrix3<usize>> for usize[+]

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type Output = Matrix3<usize>

The resulting type after applying the % operator.

fn rem(self, other: &'a Matrix3<usize>) -> Matrix3<usize>[−]

Performs the % operation.

impl Rem<Matrix3<u8>> for u8[+]

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type Output = Matrix3<u8>

The resulting type after applying the % operator.

fn rem(self, other: Matrix3<u8>) -> Matrix3<u8>[−]

Performs the % operation.

impl<'a> Rem<&'a Matrix3<u8>> for u8[+]

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type Output = Matrix3<u8>

The resulting type after applying the % operator.

fn rem(self, other: &'a Matrix3<u8>) -> Matrix3<u8>[−]

Performs the % operation.

impl Rem<Matrix3<u16>> for u16[+]

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type Output = Matrix3<u16>

The resulting type after applying the % operator.

fn rem(self, other: Matrix3<u16>) -> Matrix3<u16>[−]

Performs the % operation.

impl<'a> Rem<&'a Matrix3<u16>> for u16[+]

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type Output = Matrix3<u16>

The resulting type after applying the % operator.

fn rem(self, other: &'a Matrix3<u16>) -> Matrix3<u16>[−]

Performs the % operation.

impl Rem<Matrix3<u32>> for u32[+]

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type Output = Matrix3<u32>

The resulting type after applying the % operator.

fn rem(self, other: Matrix3<u32>) -> Matrix3<u32>[−]

Performs the % operation.

impl<'a> Rem<&'a Matrix3<u32>> for u32[+]

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type Output = Matrix3<u32>

The resulting type after applying the % operator.

fn rem(self, other: &'a Matrix3<u32>) -> Matrix3<u32>[−]

Performs the % operation.

impl Rem<Matrix3<u64>> for u64[+]

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type Output = Matrix3<u64>

The resulting type after applying the % operator.

fn rem(self, other: Matrix3<u64>) -> Matrix3<u64>[−]

Performs the % operation.

impl<'a> Rem<&'a Matrix3<u64>> for u64[+]

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type Output = Matrix3<u64>

The resulting type after applying the % operator.

fn rem(self, other: &'a Matrix3<u64>) -> Matrix3<u64>[−]

Performs the % operation.

impl Rem<Matrix3<isize>> for isize[+]

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type Output = Matrix3<isize>

The resulting type after applying the % operator.

fn rem(self, other: Matrix3<isize>) -> Matrix3<isize>[−]

Performs the % operation.

impl<'a> Rem<&'a Matrix3<isize>> for isize[+]

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type Output = Matrix3<isize>

The resulting type after applying the % operator.

fn rem(self, other: &'a Matrix3<isize>) -> Matrix3<isize>[−]

Performs the % operation.

impl Rem<Matrix3<i8>> for i8[+]

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type Output = Matrix3<i8>

The resulting type after applying the % operator.

fn rem(self, other: Matrix3<i8>) -> Matrix3<i8>[−]

Performs the % operation.

impl<'a> Rem<&'a Matrix3<i8>> for i8[+]

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type Output = Matrix3<i8>

The resulting type after applying the % operator.

fn rem(self, other: &'a Matrix3<i8>) -> Matrix3<i8>[−]

Performs the % operation.

impl Rem<Matrix3<i16>> for i16[+]

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type Output = Matrix3<i16>

The resulting type after applying the % operator.

fn rem(self, other: Matrix3<i16>) -> Matrix3<i16>[−]

Performs the % operation.

impl<'a> Rem<&'a Matrix3<i16>> for i16[+]

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type Output = Matrix3<i16>

The resulting type after applying the % operator.

fn rem(self, other: &'a Matrix3<i16>) -> Matrix3<i16>[−]

Performs the % operation.

impl Rem<Matrix3<i32>> for i32[+]

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type Output = Matrix3<i32>

The resulting type after applying the % operator.

fn rem(self, other: Matrix3<i32>) -> Matrix3<i32>[−]

Performs the % operation.

impl<'a> Rem<&'a Matrix3<i32>> for i32[+]

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type Output = Matrix3<i32>

The resulting type after applying the % operator.

fn rem(self, other: &'a Matrix3<i32>) -> Matrix3<i32>[−]

Performs the % operation.

impl Rem<Matrix3<i64>> for i64[+]

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type Output = Matrix3<i64>

The resulting type after applying the % operator.

fn rem(self, other: Matrix3<i64>) -> Matrix3<i64>[−]

Performs the % operation.

impl<'a> Rem<&'a Matrix3<i64>> for i64[+]

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type Output = Matrix3<i64>

The resulting type after applying the % operator.

fn rem(self, other: &'a Matrix3<i64>) -> Matrix3<i64>[−]

Performs the % operation.

impl Rem<Matrix3<f32>> for f32[+]

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type Output = Matrix3<f32>

The resulting type after applying the % operator.

fn rem(self, other: Matrix3<f32>) -> Matrix3<f32>[−]

Performs the % operation.

impl<'a> Rem<&'a Matrix3<f32>> for f32[+]

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type Output = Matrix3<f32>

The resulting type after applying the % operator.

fn rem(self, other: &'a Matrix3<f32>) -> Matrix3<f32>[−]

Performs the % operation.

impl Rem<Matrix3<f64>> for f64[+]

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type Output = Matrix3<f64>

The resulting type after applying the % operator.

fn rem(self, other: Matrix3<f64>) -> Matrix3<f64>[−]

Performs the % operation.

impl<'a> Rem<&'a Matrix3<f64>> for f64[+]

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type Output = Matrix3<f64>

The resulting type after applying the % operator.

fn rem(self, other: &'a Matrix3<f64>) -> Matrix3<f64>[−]

Performs the % operation.

impl<S: BaseFloat> Add<Matrix3<S>> for Matrix3<S>[+]

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type Output = Matrix3<S>

The resulting type after applying the + operator.

fn add(self, other: Matrix3<S>) -> Matrix3<S>[−]

Performs the + operation.

impl<'a, S: BaseFloat> Add<&'a Matrix3<S>> for Matrix3<S>[+]

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type Output = Matrix3<S>

The resulting type after applying the + operator.

fn add(self, other: &'a Matrix3<S>) -> Matrix3<S>[−]

Performs the + operation.

impl<'a, S: BaseFloat> Add<Matrix3<S>> for &'a Matrix3<S>[+]

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type Output = Matrix3<S>

The resulting type after applying the + operator.

fn add(self, other: Matrix3<S>) -> Matrix3<S>[−]

Performs the + operation.

impl<'a, 'b, S: BaseFloat> Add<&'a Matrix3<S>> for &'b Matrix3<S>[+]

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type Output = Matrix3<S>

The resulting type after applying the + operator.

fn add(self, other: &'a Matrix3<S>) -> Matrix3<S>[−]

Performs the + operation.

impl<S: BaseFloat> Sub<Matrix3<S>> for Matrix3<S>[+]

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type Output = Matrix3<S>

The resulting type after applying the - operator.

fn sub(self, other: Matrix3<S>) -> Matrix3<S>[−]

Performs the - operation.

impl<'a, S: BaseFloat> Sub<&'a Matrix3<S>> for Matrix3<S>[+]

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type Output = Matrix3<S>

The resulting type after applying the - operator.

fn sub(self, other: &'a Matrix3<S>) -> Matrix3<S>[−]

Performs the - operation.

impl<'a, S: BaseFloat> Sub<Matrix3<S>> for &'a Matrix3<S>[+]

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type Output = Matrix3<S>

The resulting type after applying the - operator.

fn sub(self, other: Matrix3<S>) -> Matrix3<S>[−]

Performs the - operation.

impl<'a, 'b, S: BaseFloat> Sub<&'a Matrix3<S>> for &'b Matrix3<S>[+]

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type Output = Matrix3<S>

The resulting type after applying the - operator.

fn sub(self, other: &'a Matrix3<S>) -> Matrix3<S>[−]

Performs the - operation.

impl<S: BaseFloat> Mul<S> for Matrix3<S>[+]

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type Output = Matrix3<S>

The resulting type after applying the * operator.

fn mul(self, other: S) -> Matrix3<S>[−]

Performs the * operation.

impl<'a, S: BaseFloat> Mul<S> for &'a Matrix3<S>[+]

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type Output = Matrix3<S>

The resulting type after applying the * operator.

fn mul(self, other: S) -> Matrix3<S>[−]

Performs the * operation.

impl Mul<Matrix3<usize>> for usize[+]

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type Output = Matrix3<usize>

The resulting type after applying the * operator.

fn mul(self, other: Matrix3<usize>) -> Matrix3<usize>[−]

Performs the * operation.

impl<'a> Mul<&'a Matrix3<usize>> for usize[+]

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type Output = Matrix3<usize>

The resulting type after applying the * operator.

fn mul(self, other: &'a Matrix3<usize>) -> Matrix3<usize>[−]

Performs the * operation.

impl Mul<Matrix3<u8>> for u8[+]

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type Output = Matrix3<u8>

The resulting type after applying the * operator.

fn mul(self, other: Matrix3<u8>) -> Matrix3<u8>[−]

Performs the * operation.

impl<'a> Mul<&'a Matrix3<u8>> for u8[+]

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type Output = Matrix3<u8>

The resulting type after applying the * operator.

fn mul(self, other: &'a Matrix3<u8>) -> Matrix3<u8>[−]

Performs the * operation.

impl Mul<Matrix3<u16>> for u16[+]

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type Output = Matrix3<u16>

The resulting type after applying the * operator.

fn mul(self, other: Matrix3<u16>) -> Matrix3<u16>[−]

Performs the * operation.

impl<'a> Mul<&'a Matrix3<u16>> for u16[+]

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type Output = Matrix3<u16>

The resulting type after applying the * operator.

fn mul(self, other: &'a Matrix3<u16>) -> Matrix3<u16>[−]

Performs the * operation.

impl Mul<Matrix3<u32>> for u32[+]

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type Output = Matrix3<u32>

The resulting type after applying the * operator.

fn mul(self, other: Matrix3<u32>) -> Matrix3<u32>[−]

Performs the * operation.

impl<'a> Mul<&'a Matrix3<u32>> for u32[+]

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type Output = Matrix3<u32>

The resulting type after applying the * operator.

fn mul(self, other: &'a Matrix3<u32>) -> Matrix3<u32>[−]

Performs the * operation.

impl Mul<Matrix3<u64>> for u64[+]

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type Output = Matrix3<u64>

The resulting type after applying the * operator.

fn mul(self, other: Matrix3<u64>) -> Matrix3<u64>[−]

Performs the * operation.

impl<'a> Mul<&'a Matrix3<u64>> for u64[+]

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type Output = Matrix3<u64>

The resulting type after applying the * operator.

fn mul(self, other: &'a Matrix3<u64>) -> Matrix3<u64>[−]

Performs the * operation.

impl Mul<Matrix3<isize>> for isize[+]

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type Output = Matrix3<isize>

The resulting type after applying the * operator.

fn mul(self, other: Matrix3<isize>) -> Matrix3<isize>[−]

Performs the * operation.

impl<'a> Mul<&'a Matrix3<isize>> for isize[+]

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type Output = Matrix3<isize>

The resulting type after applying the * operator.

fn mul(self, other: &'a Matrix3<isize>) -> Matrix3<isize>[−]

Performs the * operation.

impl Mul<Matrix3<i8>> for i8[+]

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type Output = Matrix3<i8>

The resulting type after applying the * operator.

fn mul(self, other: Matrix3<i8>) -> Matrix3<i8>[−]

Performs the * operation.

impl<'a> Mul<&'a Matrix3<i8>> for i8[+]

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type Output = Matrix3<i8>

The resulting type after applying the * operator.

fn mul(self, other: &'a Matrix3<i8>) -> Matrix3<i8>[−]

Performs the * operation.

impl Mul<Matrix3<i16>> for i16[+]

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type Output = Matrix3<i16>

The resulting type after applying the * operator.

fn mul(self, other: Matrix3<i16>) -> Matrix3<i16>[−]

Performs the * operation.

impl<'a> Mul<&'a Matrix3<i16>> for i16[+]

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type Output = Matrix3<i16>

The resulting type after applying the * operator.

fn mul(self, other: &'a Matrix3<i16>) -> Matrix3<i16>[−]

Performs the * operation.

impl Mul<Matrix3<i32>> for i32[+]

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type Output = Matrix3<i32>

The resulting type after applying the * operator.

fn mul(self, other: Matrix3<i32>) -> Matrix3<i32>[−]

Performs the * operation.

impl<'a> Mul<&'a Matrix3<i32>> for i32[+]

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type Output = Matrix3<i32>

The resulting type after applying the * operator.

fn mul(self, other: &'a Matrix3<i32>) -> Matrix3<i32>[−]

Performs the * operation.

impl Mul<Matrix3<i64>> for i64[+]

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type Output = Matrix3<i64>

The resulting type after applying the * operator.

fn mul(self, other: Matrix3<i64>) -> Matrix3<i64>[−]

Performs the * operation.

impl<'a> Mul<&'a Matrix3<i64>> for i64[+]

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type Output = Matrix3<i64>

The resulting type after applying the * operator.

fn mul(self, other: &'a Matrix3<i64>) -> Matrix3<i64>[−]

Performs the * operation.

impl Mul<Matrix3<f32>> for f32[+]

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type Output = Matrix3<f32>

The resulting type after applying the * operator.

fn mul(self, other: Matrix3<f32>) -> Matrix3<f32>[−]

Performs the * operation.

impl<'a> Mul<&'a Matrix3<f32>> for f32[+]

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type Output = Matrix3<f32>

The resulting type after applying the * operator.

fn mul(self, other: &'a Matrix3<f32>) -> Matrix3<f32>[−]

Performs the * operation.

impl Mul<Matrix3<f64>> for f64[+]

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type Output = Matrix3<f64>

The resulting type after applying the * operator.

fn mul(self, other: Matrix3<f64>) -> Matrix3<f64>[−]

Performs the * operation.

impl<'a> Mul<&'a Matrix3<f64>> for f64[+]

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type Output = Matrix3<f64>

The resulting type after applying the * operator.

fn mul(self, other: &'a Matrix3<f64>) -> Matrix3<f64>[−]

Performs the * operation.

impl<S: BaseFloat> Mul<Vector3<S>> for Matrix3<S>[+]

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type Output = Vector3<S>

The resulting type after applying the * operator.

fn mul(self, other: Vector3<S>) -> Vector3<S>[−]

Performs the * operation.

impl<'a, S: BaseFloat> Mul<&'a Vector3<S>> for Matrix3<S>[+]

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type Output = Vector3<S>

The resulting type after applying the * operator.

fn mul(self, other: &'a Vector3<S>) -> Vector3<S>[−]

Performs the * operation.

impl<'a, S: BaseFloat> Mul<Vector3<S>> for &'a Matrix3<S>[+]

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type Output = Vector3<S>

The resulting type after applying the * operator.

fn mul(self, other: Vector3<S>) -> Vector3<S>[−]

Performs the * operation.

impl<'a, 'b, S: BaseFloat> Mul<&'a Vector3<S>> for &'b Matrix3<S>[+]

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type Output = Vector3<S>

The resulting type after applying the * operator.

fn mul(self, other: &'a Vector3<S>) -> Vector3<S>[−]

Performs the * operation.

impl<S: BaseFloat> Mul<Matrix3<S>> for Matrix3<S>[+]

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type Output = Matrix3<S>

The resulting type after applying the * operator.

fn mul(self, other: Matrix3<S>) -> Matrix3<S>[−]

Performs the * operation.

impl<'a, S: BaseFloat> Mul<&'a Matrix3<S>> for Matrix3<S>[+]

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type Output = Matrix3<S>

The resulting type after applying the * operator.

fn mul(self, other: &'a Matrix3<S>) -> Matrix3<S>[−]

Performs the * operation.

impl<'a, S: BaseFloat> Mul<Matrix3<S>> for &'a Matrix3<S>[+]

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type Output = Matrix3<S>

The resulting type after applying the * operator.

fn mul(self, other: Matrix3<S>) -> Matrix3<S>[−]

Performs the * operation.

impl<'a, 'b, S: BaseFloat> Mul<&'a Matrix3<S>> for &'b Matrix3<S>[+]

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type Output = Matrix3<S>

The resulting type after applying the * operator.

fn mul(self, other: &'a Matrix3<S>) -> Matrix3<S>[−]

Performs the * operation.

impl<S: BaseFloat> Div<S> for Matrix3<S>[+]

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type Output = Matrix3<S>

The resulting type after applying the / operator.

fn div(self, other: S) -> Matrix3<S>[−]

Performs the / operation.

impl<'a, S: BaseFloat> Div<S> for &'a Matrix3<S>[+]

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type Output = Matrix3<S>

The resulting type after applying the / operator.

fn div(self, other: S) -> Matrix3<S>[−]

Performs the / operation.

impl Div<Matrix3<usize>> for usize[+]

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type Output = Matrix3<usize>

The resulting type after applying the / operator.

fn div(self, other: Matrix3<usize>) -> Matrix3<usize>[−]

Performs the / operation.

impl<'a> Div<&'a Matrix3<usize>> for usize[+]

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type Output = Matrix3<usize>

The resulting type after applying the / operator.

fn div(self, other: &'a Matrix3<usize>) -> Matrix3<usize>[−]

Performs the / operation.

impl Div<Matrix3<u8>> for u8[+]

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type Output = Matrix3<u8>

The resulting type after applying the / operator.

fn div(self, other: Matrix3<u8>) -> Matrix3<u8>[−]

Performs the / operation.

impl<'a> Div<&'a Matrix3<u8>> for u8[+]

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type Output = Matrix3<u8>

The resulting type after applying the / operator.

fn div(self, other: &'a Matrix3<u8>) -> Matrix3<u8>[−]

Performs the / operation.

impl Div<Matrix3<u16>> for u16[+]

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type Output = Matrix3<u16>

The resulting type after applying the / operator.

fn div(self, other: Matrix3<u16>) -> Matrix3<u16>[−]

Performs the / operation.

impl<'a> Div<&'a Matrix3<u16>> for u16[+]

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type Output = Matrix3<u16>

The resulting type after applying the / operator.

fn div(self, other: &'a Matrix3<u16>) -> Matrix3<u16>[−]

Performs the / operation.

impl Div<Matrix3<u32>> for u32[+]

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type Output = Matrix3<u32>

The resulting type after applying the / operator.

fn div(self, other: Matrix3<u32>) -> Matrix3<u32>[−]

Performs the / operation.

impl<'a> Div<&'a Matrix3<u32>> for u32[+]

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type Output = Matrix3<u32>

The resulting type after applying the / operator.

fn div(self, other: &'a Matrix3<u32>) -> Matrix3<u32>[−]

Performs the / operation.

impl Div<Matrix3<u64>> for u64[+]

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type Output = Matrix3<u64>

The resulting type after applying the / operator.

fn div(self, other: Matrix3<u64>) -> Matrix3<u64>[−]

Performs the / operation.

impl<'a> Div<&'a Matrix3<u64>> for u64[+]

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type Output = Matrix3<u64>

The resulting type after applying the / operator.

fn div(self, other: &'a Matrix3<u64>) -> Matrix3<u64>[−]

Performs the / operation.

impl Div<Matrix3<isize>> for isize[+]

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type Output = Matrix3<isize>

The resulting type after applying the / operator.

fn div(self, other: Matrix3<isize>) -> Matrix3<isize>[−]

Performs the / operation.

impl<'a> Div<&'a Matrix3<isize>> for isize[+]

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type Output = Matrix3<isize>

The resulting type after applying the / operator.

fn div(self, other: &'a Matrix3<isize>) -> Matrix3<isize>[−]

Performs the / operation.

impl Div<Matrix3<i8>> for i8[+]

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type Output = Matrix3<i8>

The resulting type after applying the / operator.

fn div(self, other: Matrix3<i8>) -> Matrix3<i8>[−]

Performs the / operation.

impl<'a> Div<&'a Matrix3<i8>> for i8[+]

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type Output = Matrix3<i8>

The resulting type after applying the / operator.

fn div(self, other: &'a Matrix3<i8>) -> Matrix3<i8>[−]

Performs the / operation.

impl Div<Matrix3<i16>> for i16[+]

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type Output = Matrix3<i16>

The resulting type after applying the / operator.

fn div(self, other: Matrix3<i16>) -> Matrix3<i16>[−]

Performs the / operation.

impl<'a> Div<&'a Matrix3<i16>> for i16[+]

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type Output = Matrix3<i16>

The resulting type after applying the / operator.

fn div(self, other: &'a Matrix3<i16>) -> Matrix3<i16>[−]

Performs the / operation.

impl Div<Matrix3<i32>> for i32[+]

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type Output = Matrix3<i32>

The resulting type after applying the / operator.

fn div(self, other: Matrix3<i32>) -> Matrix3<i32>[−]

Performs the / operation.

impl<'a> Div<&'a Matrix3<i32>> for i32[+]

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type Output = Matrix3<i32>

The resulting type after applying the / operator.

fn div(self, other: &'a Matrix3<i32>) -> Matrix3<i32>[−]

Performs the / operation.

impl Div<Matrix3<i64>> for i64[+]

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type Output = Matrix3<i64>

The resulting type after applying the / operator.

fn div(self, other: Matrix3<i64>) -> Matrix3<i64>[−]

Performs the / operation.

impl<'a> Div<&'a Matrix3<i64>> for i64[+]

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type Output = Matrix3<i64>

The resulting type after applying the / operator.

fn div(self, other: &'a Matrix3<i64>) -> Matrix3<i64>[−]

Performs the / operation.

impl Div<Matrix3<f32>> for f32[+]

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type Output = Matrix3<f32>

The resulting type after applying the / operator.

fn div(self, other: Matrix3<f32>) -> Matrix3<f32>[−]

Performs the / operation.

impl<'a> Div<&'a Matrix3<f32>> for f32[+]

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type Output = Matrix3<f32>

The resulting type after applying the / operator.

fn div(self, other: &'a Matrix3<f32>) -> Matrix3<f32>[−]

Performs the / operation.

impl Div<Matrix3<f64>> for f64[+]

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type Output = Matrix3<f64>

The resulting type after applying the / operator.

fn div(self, other: Matrix3<f64>) -> Matrix3<f64>[−]

Performs the / operation.

impl<'a> Div<&'a Matrix3<f64>> for f64[+]

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type Output = Matrix3<f64>

The resulting type after applying the / operator.

fn div(self, other: &'a Matrix3<f64>) -> Matrix3<f64>[−]

Performs the / operation.

impl<S: BaseFloat> Neg for Matrix3<S>[+]

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type Output = Matrix3<S>

The resulting type after applying the - operator.

fn neg(self) -> Matrix3<S>[−]

Performs the unary - operation.

impl<'a, S: BaseFloat> Neg for &'a Matrix3<S>[+]

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type Output = Matrix3<S>

The resulting type after applying the - operator.

fn neg(self) -> Matrix3<S>[−]

Performs the unary - operation.

impl<S: BaseFloat + AddAssign<S>> AddAssign<Matrix3<S>> for Matrix3<S>[+]

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fn add_assign(&mut self, other: Matrix3<S>)[−]

Performs the += operation.

impl<S: BaseFloat + SubAssign<S>> SubAssign<Matrix3<S>> for Matrix3<S>[+]

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fn sub_assign(&mut self, other: Matrix3<S>)[−]

Performs the -= operation.

impl<S: BaseFloat + MulAssign<S>> MulAssign<S> for Matrix3<S>[+]

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fn mul_assign(&mut self, scalar: S)[−]

Performs the *= operation.

impl<S: BaseFloat + DivAssign<S>> DivAssign<S> for Matrix3<S>[+]

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fn div_assign(&mut self, scalar: S)[−]

Performs the /= operation.

impl<S: BaseFloat + RemAssign<S>> RemAssign<S> for Matrix3<S>[+]

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fn rem_assign(&mut self, scalar: S)[−]

Performs the %= operation.

impl<S> Index<usize> for Matrix3<S>[+]

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type Output = Vector3<S>

The returned type after indexing.

fn index<'a>(&'a self, i: usize) -> &'a Vector3<S>[−]

Performs the indexing (container[index]) operation.

impl<S> IndexMut<usize> for Matrix3<S>[+]

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fn index_mut<'a>(&'a mut self, i: usize) -> &'a mut Vector3<S>[−]

Performs the mutable indexing (container[index]) operation.

impl<S: BaseFloat> Product<Matrix3<S>> for Matrix3<S>[+]

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fn product<I: Iterator<Item = Matrix3<S>>>(iter: I) -> Matrix3<S>[−]

Method which takes an iterator and generates Self from the elements by multiplying the items.

impl<'a, S: 'a + BaseFloat> Product<&'a Matrix3<S>> for Matrix3<S>[+]

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fn product<I: Iterator<Item = &'a Matrix3<S>>>(iter: I) -> Matrix3<S>[−]

Method which takes an iterator and generates Self from the elements by multiplying the items.

impl<S: BaseFloat> Sum<Matrix3<S>> for Matrix3<S>[+]

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fn sum<I: Iterator<Item = Matrix3<S>>>(iter: I) -> Matrix3<S>[−]

Method which takes an iterator and generates Self from the elements by "summing up" the items.

impl<'a, S: 'a + BaseFloat> Sum<&'a Matrix3<S>> for Matrix3<S>[+]

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fn sum<I: Iterator<Item = &'a Matrix3<S>>>(iter: I) -> Matrix3<S>[−]

Method which takes an iterator and generates Self from the elements by "summing up" the items.

impl<S: BaseFloat> ApproxEq for Matrix3<S>[+]

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type Epsilon = S::Epsilon

Used for specifying relative comparisons.

fn default_epsilon() -> S::Epsilon[−]

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

fn default_max_relative() -> S::Epsilon[−]

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

fn default_max_ulps() -> u32[−]

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

fn relative_eq(
    &self,
    other: &Self,
    epsilon: S::Epsilon,
    max_relative: S::Epsilon
) -> bool[−]

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

fn ulps_eq(&self, other: &Self, epsilon: S::Epsilon, max_ulps: u32) -> bool[−]

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

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

The inverse of ApproxEq::relative_eq.

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

The inverse of ApproxEq::ulps_eq.

impl<S: BaseFloat + Rand> Rand for Matrix3<S>[+]

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fn rand<R: Rng>(rng: &mut R) -> Matrix3<S>[−]

Generates a random instance of this type using the specified source of randomness.

impl<S: BaseFloat> Zero for Matrix3<S>[+]

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fn zero() -> Matrix3<S>[−]

Returns the additive identity element of Self, 0. # Purity

fn is_zero(&self) -> bool[−]

Returns true if self is equal to the additive identity.

fn set_zero(&mut self)[−]

Sets self to the additive identity element of Self, 0.

impl<S: BaseFloat> One for Matrix3<S>[+]

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fn one() -> Matrix3<S>[−]

Returns the multiplicative identity element of Self, 1.

fn set_one(&mut self)[−]

Sets self to the multiplicative identity element of Self, 1.

fn is_one(&self) -> bool where
    Self: PartialEq<Self>, [−]

Returns true if self is equal to the multiplicative identity.