Struct nalgebra::Matrix4

pub struct Matrix4<N> {
    pub m11: N,
    pub m21: N,
    pub m31: N,
    pub m41: N,
    pub m12: N,
    pub m22: N,
    pub m32: N,
    pub m42: N,
    pub m13: N,
    pub m23: N,
    pub m33: N,
    pub m43: N,
    pub m14: N,
    pub m24: N,
    pub m34: N,
    pub m44: N,
}

Square matrix of dimension 4.

Fields

m11: N

m21: N

m31: N

m41: N

m12: N

m22: N

m32: N

m42: N

m13: N

m23: N

m33: N

m43: N

m14: N

m24: N

m34: N

m44: N

Methods

impl<N> Matrix4<N>

fn new(m11: N, m12: N, m13: N, m14: N, m21: N, m22: N, m23: N, m24: N, m31: N, m32: N, m33: N, m34: N, m41: N, m42: N, m43: N, m44: N) -> Matrix4<N>

impl<N: Copy> Matrix4<N>

unsafe fn at_fast(&self, (i, j): (usize, usize)) -> N

unsafe fn set_fast(&mut self, (i, j): (usize, usize), val: N)

Trait Implementations

impl<N: Eq> Eq for Matrix4<N>

impl<N: PartialEq> PartialEq for Matrix4<N>

fn eq(&self, __arg_0: &Matrix4<N>) -> bool

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

fn ne(&self, __arg_0: &Matrix4<N>) -> bool

This method tests for !=.

impl<N: Encodable> Encodable for Matrix4<N>

fn encode<__SN: Encoder>(&self, __arg_0: &mut __SN) -> Result<(), __SN::Error>

impl<N: Decodable> Decodable for Matrix4<N>

fn decode<__DN: Decoder>(__arg_0: &mut __DN) -> Result<Matrix4<N>, __DN::Error>

impl<N: Clone> Clone for Matrix4<N>

fn clone(&self) -> Matrix4<N>

Returns a copy of the value.

fn clone_from(&mut self, source: &Self)

Performs copy-assignment from source.

impl<N: Hash> Hash for Matrix4<N>

fn hash<__HN: Hasher>(&self, __arg_0: &mut __HN)

Feeds this value into the state given, updating the hasher as necessary.

fn hash_slice<H>(data: &[Self], state: &mut H) where H: Hasher

Feeds a slice of this type into the state provided.

impl<N: Debug> Debug for Matrix4<N>

fn fmt(&self, __arg_0: &mut Formatter) -> Result

Formats the value using the given formatter.

impl<N: Copy> Copy for Matrix4<N>

impl<N: Zero + One> Eye for Matrix4<N>

fn new_identity(dimension: usize) -> Matrix4<N>

Return the identity matrix of specified dimension

impl<N: Copy> Repeat<N> for Matrix4<N>

fn repeat(val: N) -> Matrix4<N>

Returns a value with filled by val.

impl<N> AsRef<[[N; 4]; 4]> for Matrix4<N>

fn as_ref(&self) -> &[[N; 4]; 4]

Performs the conversion.

impl<N> AsMut<[[N; 4]; 4]> for Matrix4<N>

fn as_mut(&mut self) -> &mut [[N; 4]; 4]

Performs the conversion.

impl<'a, N> From<&'a [[N; 4]; 4]> for &'a Matrix4<N>

fn from(arr: &'a [[N; 4]; 4]) -> &'a Matrix4<N>

Performs the conversion.

impl<'a, N> From<&'a mut [[N; 4]; 4]> for &'a mut Matrix4<N>

fn from(arr: &'a mut [[N; 4]; 4]) -> &'a mut Matrix4<N>

Performs the conversion.

impl<'a, N: Clone> From<&'a [[N; 4]; 4]> for Matrix4<N>

fn from(arr: &'a [[N; 4]; 4]) -> Matrix4<N>

Performs the conversion.

impl<Nin: Copy, Nout: Copy + Cast<Nin>> Cast<Matrix4<Nin>> for Matrix4<Nout>

fn from(v: Matrix4<Nin>) -> Matrix4<Nout>

Converts an element of type T to an element of type Self.

impl<N: Add<N, Output=N>> Add<Matrix4<N>> for Matrix4<N>

type Output = Matrix4<N>

The resulting type after applying the + operator

fn add(self, right: Matrix4<N>) -> Matrix4<N>

The method for the + operator

impl<N: AddAssign<N>> AddAssign<Matrix4<N>> for Matrix4<N>

fn add_assign(&mut self, right: Matrix4<N>)

The method for the += operator

impl<N: Sub<N, Output=N>> Sub<Matrix4<N>> for Matrix4<N>

type Output = Matrix4<N>

The resulting type after applying the - operator

fn sub(self, right: Matrix4<N>) -> Matrix4<N>

The method for the - operator

impl<N: SubAssign<N>> SubAssign<Matrix4<N>> for Matrix4<N>

fn sub_assign(&mut self, right: Matrix4<N>)

The method for the -= operator

impl<N: Copy + Add<N, Output=N>> Add<N> for Matrix4<N>

type Output = Matrix4<N>

The resulting type after applying the + operator

fn add(self, right: N) -> Matrix4<N>

The method for the + operator

impl<N: Copy + AddAssign<N>> AddAssign<N> for Matrix4<N>

fn add_assign(&mut self, right: N)

The method for the += operator

impl<N: Copy + Sub<N, Output=N>> Sub<N> for Matrix4<N>

type Output = Matrix4<N>

The resulting type after applying the - operator

fn sub(self, right: N) -> Matrix4<N>

The method for the - operator

impl<N: Copy + SubAssign<N>> SubAssign<N> for Matrix4<N>

fn sub_assign(&mut self, right: N)

The method for the -= operator

impl<N: Copy + Mul<N, Output=N>> Mul<N> for Matrix4<N>

type Output = Matrix4<N>

The resulting type after applying the * operator

fn mul(self, right: N) -> Matrix4<N>

The method for the * operator

impl<N: Copy + MulAssign<N>> MulAssign<N> for Matrix4<N>

fn mul_assign(&mut self, right: N)

The method for the *= operator

impl<N: Copy + Div<N, Output=N>> Div<N> for Matrix4<N>

type Output = Matrix4<N>

The resulting type after applying the / operator

fn div(self, right: N) -> Matrix4<N>

The method for the / operator

impl<N: Copy + DivAssign<N>> DivAssign<N> for Matrix4<N>

fn div_assign(&mut self, right: N)

The method for the /= operator

impl<N: Absolute<N>> Absolute<Matrix4<N>> for Matrix4<N>

fn abs(m: &Matrix4<N>) -> Matrix4<N>

Computes some absolute value of this object. Typically, this will make all component of a matrix or vector positive.

impl<N: Zero> Zero for Matrix4<N>

fn zero() -> Matrix4<N>

Returns the additive identity element of Self, 0.

fn is_zero(&self) -> bool

Returns true if self is equal to the additive identity.

impl<N: Copy + BaseNum> One for Matrix4<N>

fn one() -> Matrix4<N>

Returns the multiplicative identity element of Self, 1.

impl<N> Iterable<N> for Matrix4<N>

fn iter<'l>(&'l self) -> Iter<'l, N>

Gets a vector-like read-only iterator.

impl<N> IterableMut<N> for Matrix4<N>

fn iter_mut<'l>(&'l mut self) -> IterMut<'l, N>

Gets a vector-like read-write iterator.

impl<N> Dimension for Matrix4<N>

fn dimension(_: Option<Matrix4<N>>) -> usize

The dimension of the object.

impl<N> Shape<(usize, usize)> for Matrix4<N>

fn shape(&self) -> (usize, usize)

Returns the shape of an indexable object.

impl<N: Copy> Indexable<(usize, usize), N> for Matrix4<N>

fn swap(&mut self, (i1, j1): (usize, usize), (i2, j2): (usize, usize))

Swaps the i-th element of self with its j-th element.

unsafe fn unsafe_at(&self, (i, j): (usize, usize)) -> N

Reads the i-th element of self.

unsafe fn unsafe_set(&mut self, (i, j): (usize, usize), val: N)

Writes to the i-th element of self.

impl<N> Index<(usize, usize)> for Matrix4<N>

type Output = N

The returned type after indexing

fn index(&self, (i, j): (usize, usize)) -> &N

The method for the indexing (Foo[Bar]) operation

impl<N> IndexMut<(usize, usize)> for Matrix4<N>

fn index_mut(&mut self, (i, j): (usize, usize)) -> &mut N

The method for the indexing (Foo[Bar]) operation

impl<N: Copy + BaseNum> Mul<Matrix4<N>> for Matrix4<N>

type Output = Matrix4<N>

The resulting type after applying the * operator

fn mul(self, right: Matrix4<N>) -> Matrix4<N>

The method for the * operator

impl<N: Copy + BaseNum> MulAssign<Matrix4<N>> for Matrix4<N>

fn mul_assign(&mut self, right: Matrix4<N>)

The method for the *= operator

impl<N: Copy + BaseNum> Mul<Vector4<N>> for Matrix4<N>

type Output = Vector4<N>

The resulting type after applying the * operator

fn mul(self, right: Vector4<N>) -> Vector4<N>

The method for the * operator

impl<N: Copy + BaseNum> Mul<Point4<N>> for Matrix4<N>

type Output = Point4<N>

The resulting type after applying the * operator

fn mul(self, right: Point4<N>) -> Point4<N>

The method for the * operator

impl<N: Copy + BaseNum> Inverse for Matrix4<N>

fn inverse(&self) -> Option<Matrix4<N>>

Returns the inverse of m.

fn inverse_mut(&mut self) -> bool

In-place version of inverse.

impl<N: Copy> Transpose for Matrix4<N>

fn transpose(&self) -> Matrix4<N>

Computes the transpose of a matrix.

fn transpose_mut(&mut self)

In-place version of transposed.

impl<N: ApproxEq<N>> ApproxEq<N> for Matrix4<N>

fn approx_epsilon(_: Option<Matrix4<N>>) -> N

Default epsilon for approximation.

fn approx_ulps(_: Option<Matrix4<N>>) -> u32

Default ULPs for approximation.

fn approx_eq_eps(&self, other: &Matrix4<N>, epsilon: &N) -> bool

Tests approximate equality using a custom epsilon.

fn approx_eq_ulps(&self, other: &Matrix4<N>, ulps: u32) -> bool

Tests approximate equality using units in the last place (ULPs)

fn approx_eq(&self, other: &Self) -> bool

Tests approximate equality.

impl<N: Copy + Zero> Row<Vector4<N>> for Matrix4<N>

fn nrows(&self) -> usize

The number of column of self.

fn set_row(&mut self, row: usize, v: Vector4<N>)

Writes the i-th row of self.

fn row(&self, row: usize) -> Vector4<N>

Reads the i-th row of self.

impl<N: Copy + Zero> Column<Vector4<N>> for Matrix4<N>

fn ncols(&self) -> usize

The number of column of this matrix or vector.

fn set_column(&mut self, column: usize, v: Vector4<N>)

Writes the i-th column of self.

fn column(&self, column: usize) -> Vector4<N>

Reads the i-th column of self.

impl<N: Clone + Copy + Zero> ColumnSlice<DVector4<N>> for Matrix4<N>

fn column_slice(&self, cid: usize, rstart: usize, rend: usize) -> DVector4<N>

Returns a view to a slice of a column of a matrix.

impl<N: Clone + Copy + Zero> RowSlice<DVector4<N>> for Matrix4<N>

fn row_slice(&self, rid: usize, cstart: usize, cend: usize) -> DVector4<N>

Returns a view to a slice of a row of a matrix.

impl<N: Copy + Zero> Diagonal<Vector4<N>> for Matrix4<N>

fn from_diagonal(diagonal: &Vector4<N>) -> Matrix4<N>

Creates a new matrix with the given diagonal.

fn diagonal(&self) -> Vector4<N>

The diagonal of this matrix.

impl<N: BaseNum + Copy> ToHomogeneous<Matrix5<N>> for Matrix4<N>

fn to_homogeneous(&self) -> Matrix5<N>

Gets the homogeneous coordinates form of this object.

impl<N: BaseNum + Copy> FromHomogeneous<Matrix5<N>> for Matrix4<N>

fn from(m: &Matrix5<N>) -> Matrix4<N>

Builds an object from its homogeneous coordinate form.

impl<N> EigenQR<N, Vector4<N>> for Matrix4<N> where N: BaseFloat + ApproxEq<N> + Clone

fn eigen_qr(&self, eps: &N, niter: usize) -> (Matrix4<N>, Vector4<N>)

Computes the eigenvectors and eigenvalues of this matrix.

impl<N: Rand> Rand for Matrix4<N>

fn rand<R: Rng>(rng: &mut R) -> Matrix4<N>

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

impl<N: BaseNum + Cast<f64> + Clone> Mean<Vector4<N>> for Matrix4<N>

fn mean(&self) -> Vector4<N>

Computes the mean of the observations stored by v.

impl<N: Display + BaseFloat> Display for Matrix4<N>

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

Formats the value using the given formatter.