Struct Matrix

pub struct Matrix<T, const M: usize, const N: usize> { /* private fields */ }

Represents a matrix with constant M rows and constant N columns.

The underlying data is represented as an array and is always stored in column-major order.

See the crate root for usage examples.

Implementations

impl<T> Matrix<T, 1, 1>

pub const fn new(x: T) -> Self

Creates a new vector from the given components.

impl<T> Matrix<T, 1, 2>

pub const fn new(x: T, y: T) -> Self

Creates a new vector from the given components.

impl<T> Matrix<T, 1, 3>

pub const fn new(x: T, y: T, z: T) -> Self

Creates a new vector from the given components.

impl<T> Matrix<T, 1, 4>

pub const fn new(x: T, y: T, z: T, w: T) -> Self

Creates a new vector from the given components.

impl<T> Matrix<T, 1, 5>

pub const fn new(x: T, y: T, z: T, w: T, a: T) -> Self

Creates a new vector from the given components.

impl<T> Matrix<T, 1, 6>

pub const fn new(x: T, y: T, z: T, w: T, a: T, b: T) -> Self

Creates a new vector from the given components.

impl<T> Matrix<T, 2, 1>

pub const fn new(x: T, y: T) -> Self

Creates a new vector from the given components.

impl<T> Matrix<T, 3, 1>

pub const fn new(x: T, y: T, z: T) -> Self

Creates a new vector from the given components.

impl<T> Matrix<T, 4, 1>

pub const fn new(x: T, y: T, z: T, w: T) -> Self

Creates a new vector from the given components.

impl<T> Matrix<T, 5, 1>

pub const fn new(x: T, y: T, z: T, w: T, a: T) -> Self

Creates a new vector from the given components.

impl<T> Matrix<T, 6, 1>

pub const fn new(x: T, y: T, z: T, w: T, a: T, b: T) -> Self

Creates a new vector from the given components.

impl<T, const M: usize, const N: usize> Matrix<T, M, N>

pub fn zero() -> Self

where T: Copy + Zero,

Returns a zero matrix.

pub fn repeat(element: T) -> Self

where T: Copy,

Create a new matrix filled with the given element.

pub fn repeat_with<F>(f: F) -> Self

where F: FnMut() -> T,

Create a new matrix filled with computed elements.

Elements will be filled in column-major order.

pub fn as_slice(&self) -> &[T]

Views the underlying data as a contiguous slice.

pub fn as_mut_slice(&mut self) -> &mut [T]

Views the underlying data as a contiguous mutable slice.

pub fn get<I>(&self, i: I) -> Option<&I::Output>

where I: MatrixIndex<Self>,

Returns a reference to an element in the matrix or None if out of bounds.

pub fn get_mut<I>(&mut self, i: I) -> Option<&mut I::Output>

where I: MatrixIndex<Self>,

Returns a mutable reference to an element in the matrix or None if out of bounds.

pub unsafe fn get_unchecked<I>(&self, i: I) -> &I::Output

where I: MatrixIndex<Self>,

Returns a reference to an element in the matrix without doing any bounds checking.

Safety

Calling this method with an out-of-bounds index is undefined behavior even if the resulting reference is not used.

pub unsafe fn get_unchecked_mut<I>(&mut self, i: I) -> &mut I::Output

where I: MatrixIndex<Self>,

Returns a mutable reference to an element in the matrix without doing any bounds checking.

Safety

Calling this method with an out-of-bounds index is undefined behavior even if the resulting reference is not used.

pub fn row(&self, i: usize) -> &Row<T, M, N>

Returns a reference to the i-th row of this matrix.

pub fn row_mut(&mut self, i: usize) -> &mut Row<T, M, N>

Returns a mutable reference to the i-th row of this matrix.

pub fn column(&self, i: usize) -> &Column<T, M, N>

Returns a reference to the i-th column of this matrix.

pub fn column_mut(&mut self, i: usize) -> &mut Column<T, M, N>

Returns a mutable reference to the i-th column of this matrix.

pub fn iter(&self) -> Iter<'_, T>

Returns an iterator over the underlying data.

pub fn iter_mut(&mut self) -> IterMut<'_, T>

Returns a mutable iterator over the underlying data.

pub fn iter_rows(&self) -> IterRows<'_, T, M, N>

Returns an iterator over the rows in this matrix.

pub fn iter_rows_mut(&mut self) -> IterRowsMut<'_, T, M, N>

Returns a mutable iterator over the rows in this matrix.

pub fn iter_columns(&self) -> IterColumns<'_, T, M, N>

Returns an iterator over the columns in this matrix.

pub fn iter_columns_mut(&mut self) -> IterColumnsMut<'_, T, M, N>

Returns a mutable iterator over the columns in this matrix.

pub fn map<F, U>(self, f: F) -> Matrix<U, M, N>

where F: FnMut(T) -> U,

Returns a matrix of the same size as self, with function f applied to each element in column-major order.

pub fn l1_norm(&self) -> T

where T: Copy + Ord + Abs + Zero + Sum<T>,

Returns the L1 norm of the matrix.

Also known as Manhattan Distance or Taxicab norm. L1 Norm is the sum of the magnitudes of the vectors in a space.

Note

If the matrix is a row vector this method might not do what you what you expect. For example:

let row_vector = matrix![1, 2, 3];
assert_eq!(row_vector.l1_norm(), 3);

let column_vector = matrix![1; 2; 3];
assert_eq!(column_vector.l1_norm(), 6);

impl<T, const N: usize> Matrix<T, N, N>

pub fn identity() -> Self

where T: Copy + One + Zero,

Returns an identity matrix.

pub fn diagonal(&self) -> Vector<T, N>

where T: Copy + Zero,

Returns the diagonal of the matrix.

Trait Implementations

impl<T, const M: usize, const N: usize> Add<&Matrix<T, M, N>> for &Matrix<T, M, N>

where T: Copy + Zero + Add<Output = T>,

type Output = Matrix<T, M, N>

The resulting type after applying the + operator.

fn add(self, other: &Matrix<T, M, N>) -> Self::Output

Performs the + operation.

impl<T, const M: usize, const N: usize> Add<&Matrix<T, M, N>> for Matrix<T, M, N>

where T: Copy + Add<Output = T>,

type Output = Matrix<T, M, N>

The resulting type after applying the + operator.

fn add(self, other: &Matrix<T, M, N>) -> Self::Output

Performs the + operation.

impl<T, const M: usize, const N: usize> Add<&T> for &Matrix<T, M, N>

where T: Copy + Zero + Add<Output = T>,

type Output = Matrix<T, M, N>

The resulting type after applying the + operator.

fn add(self, other: &T) -> Self::Output

Performs the + operation.

impl<T, const M: usize, const N: usize> Add<&T> for Matrix<T, M, N>

where T: Copy + Add<Output = T>,

type Output = Matrix<T, M, N>

The resulting type after applying the + operator.

fn add(self, other: &T) -> Self::Output

Performs the + operation.

impl<T, const M: usize, const N: usize> Add<Matrix<T, M, N>> for &Matrix<T, M, N>

where T: Copy + Zero + Add<Output = T>,

type Output = Matrix<T, M, N>

The resulting type after applying the + operator.

fn add(self, other: Matrix<T, M, N>) -> Self::Output

Performs the + operation.

impl<T, const M: usize, const N: usize> Add<T> for &Matrix<T, M, N>

where T: Copy + Zero + Add<Output = T>,

type Output = Matrix<T, M, N>

The resulting type after applying the + operator.

fn add(self, other: T) -> Self::Output

Performs the + operation.

impl<T, const M: usize, const N: usize> Add<T> for Matrix<T, M, N>

where T: Copy + Add<Output = T>,

type Output = Matrix<T, M, N>

The resulting type after applying the + operator.

fn add(self, other: T) -> Self::Output

Performs the + operation.

impl<T, const M: usize, const N: usize> Add for Matrix<T, M, N>

where T: Copy + Add<Output = T>,

type Output = Matrix<T, M, N>

The resulting type after applying the + operator.

fn add(self, other: Matrix<T, M, N>) -> Self::Output

Performs the + operation.

impl<T, const M: usize, const N: usize> AddAssign<&Matrix<T, M, N>> for Matrix<T, M, N>

where T: Copy + AddAssign,

fn add_assign(&mut self, other: &Matrix<T, M, N>)

Performs the += operation.

impl<T, const M: usize, const N: usize> AddAssign<&T> for Matrix<T, M, N>

where T: Copy + AddAssign<T>,

fn add_assign(&mut self, other: &T)

Performs the += operation.

impl<'a, T, const M: usize, const N: usize> AddAssign<T> for Matrix<T, M, N>

where T: Copy + AddAssign<T>,

fn add_assign(&mut self, other: T)

Performs the += operation.

impl<T, const M: usize, const N: usize> AddAssign for Matrix<T, M, N>

where T: Copy + AddAssign,

fn add_assign(&mut self, other: Matrix<T, M, N>)

Performs the += operation.

impl<T: Binary, const M: usize, const N: usize> Binary for Matrix<T, M, N>

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

Formats the value using the given formatter.

impl<T, const M: usize, const N: usize> BitAnd<&T> for &Matrix<T, M, N>

where T: Copy + Zero + BitAnd<Output = T>,

type Output = Matrix<T, M, N>

The resulting type after applying the & operator.

fn bitand(self, other: &T) -> Self::Output

Performs the & operation.

impl<T, const M: usize, const N: usize> BitAnd<&T> for Matrix<T, M, N>

where T: Copy + BitAnd<Output = T>,

type Output = Matrix<T, M, N>

The resulting type after applying the & operator.

fn bitand(self, other: &T) -> Self::Output

Performs the & operation.

impl<T, const M: usize, const N: usize> BitAnd<T> for &Matrix<T, M, N>

where T: Copy + Zero + BitAnd<Output = T>,

type Output = Matrix<T, M, N>

The resulting type after applying the & operator.

fn bitand(self, other: T) -> Self::Output

Performs the & operation.

impl<T, const M: usize, const N: usize> BitAnd<T> for Matrix<T, M, N>

where T: Copy + BitAnd<Output = T>,

type Output = Matrix<T, M, N>

The resulting type after applying the & operator.

fn bitand(self, other: T) -> Self::Output

Performs the & operation.

impl<T, const M: usize, const N: usize> BitAndAssign<&T> for Matrix<T, M, N>

where T: Copy + BitAndAssign<T>,

fn bitand_assign(&mut self, other: &T)

Performs the &= operation.

impl<'a, T, const M: usize, const N: usize> BitAndAssign<T> for Matrix<T, M, N>

where T: Copy + BitAndAssign<T>,

fn bitand_assign(&mut self, other: T)

Performs the &= operation.

impl<T, const M: usize, const N: usize> BitOr<&T> for &Matrix<T, M, N>

where T: Copy + Zero + BitOr<Output = T>,

type Output = Matrix<T, M, N>

The resulting type after applying the | operator.

fn bitor(self, other: &T) -> Self::Output

Performs the | operation.

impl<T, const M: usize, const N: usize> BitOr<&T> for Matrix<T, M, N>

where T: Copy + BitOr<Output = T>,

type Output = Matrix<T, M, N>

The resulting type after applying the | operator.

fn bitor(self, other: &T) -> Self::Output

Performs the | operation.

impl<T, const M: usize, const N: usize> BitOr<T> for &Matrix<T, M, N>

where T: Copy + Zero + BitOr<Output = T>,

type Output = Matrix<T, M, N>

The resulting type after applying the | operator.

fn bitor(self, other: T) -> Self::Output

Performs the | operation.

impl<T, const M: usize, const N: usize> BitOr<T> for Matrix<T, M, N>

where T: Copy + BitOr<Output = T>,

type Output = Matrix<T, M, N>

The resulting type after applying the | operator.

fn bitor(self, other: T) -> Self::Output

Performs the | operation.

impl<T, const M: usize, const N: usize> BitOrAssign<&T> for Matrix<T, M, N>

where T: Copy + BitOrAssign<T>,

fn bitor_assign(&mut self, other: &T)

Performs the |= operation.

impl<'a, T, const M: usize, const N: usize> BitOrAssign<T> for Matrix<T, M, N>

where T: Copy + BitOrAssign<T>,

fn bitor_assign(&mut self, other: T)

Performs the |= operation.

impl<T, const M: usize, const N: usize> BitXor<&T> for &Matrix<T, M, N>

where T: Copy + Zero + BitXor<Output = T>,

type Output = Matrix<T, M, N>

The resulting type after applying the ^ operator.

fn bitxor(self, other: &T) -> Self::Output

Performs the ^ operation.

impl<T, const M: usize, const N: usize> BitXor<&T> for Matrix<T, M, N>

where T: Copy + BitXor<Output = T>,

type Output = Matrix<T, M, N>

The resulting type after applying the ^ operator.

fn bitxor(self, other: &T) -> Self::Output

Performs the ^ operation.

impl<T, const M: usize, const N: usize> BitXor<T> for &Matrix<T, M, N>

where T: Copy + Zero + BitXor<Output = T>,

type Output = Matrix<T, M, N>

The resulting type after applying the ^ operator.

fn bitxor(self, other: T) -> Self::Output

Performs the ^ operation.

impl<T, const M: usize, const N: usize> BitXor<T> for Matrix<T, M, N>

where T: Copy + BitXor<Output = T>,

type Output = Matrix<T, M, N>

The resulting type after applying the ^ operator.

fn bitxor(self, other: T) -> Self::Output

Performs the ^ operation.

impl<T, const M: usize, const N: usize> BitXorAssign<&T> for Matrix<T, M, N>

where T: Copy + BitXorAssign<T>,

fn bitxor_assign(&mut self, other: &T)

Performs the ^= operation.

impl<'a, T, const M: usize, const N: usize> BitXorAssign<T> for Matrix<T, M, N>

where T: Copy + BitXorAssign<T>,

fn bitxor_assign(&mut self, other: T)

Performs the ^= operation.

impl<T: Clone, const M: usize, const N: usize> Clone for Matrix<T, M, N>

fn clone(&self) -> Matrix<T, M, N>

Returns a duplicate of the value.

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

Performs copy-assignment from source.

impl<T: Debug, const M: usize, const N: usize> Debug for Matrix<T, M, N>

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

Formats the value using the given formatter.

impl<T: Default, const M: usize, const N: usize> Default for Matrix<T, M, N>

fn default() -> Self

Create a new matrix using T::default() as an initializer.

Note: this implementation will not be as efficient for types that are Copy. In most cases it would be better to use one of the following:

• Matrix::zero()
• Matrix::repeat(T::default())

impl<T> Deref for Matrix<T, 1, 1>

type Target = X<T>

The resulting type after dereferencing.

fn deref(&self) -> &Self::Target

Dereferences the value.

impl<T> Deref for Matrix<T, 1, 2>

type Target = XY<T>

The resulting type after dereferencing.

fn deref(&self) -> &Self::Target

Dereferences the value.

impl<T> Deref for Matrix<T, 1, 3>

type Target = XYZ<T>

The resulting type after dereferencing.

fn deref(&self) -> &Self::Target

Dereferences the value.

impl<T> Deref for Matrix<T, 1, 4>

type Target = XYZW<T>

The resulting type after dereferencing.

fn deref(&self) -> &Self::Target

Dereferences the value.

impl<T> Deref for Matrix<T, 1, 5>

type Target = XYZWA<T>

The resulting type after dereferencing.

fn deref(&self) -> &Self::Target

Dereferences the value.

impl<T> Deref for Matrix<T, 1, 6>

type Target = XYZWAB<T>

The resulting type after dereferencing.

fn deref(&self) -> &Self::Target

Dereferences the value.

impl<T> Deref for Matrix<T, 2, 1>

type Target = XY<T>

The resulting type after dereferencing.

fn deref(&self) -> &Self::Target

Dereferences the value.

impl<T> Deref for Matrix<T, 3, 1>

type Target = XYZ<T>

The resulting type after dereferencing.

fn deref(&self) -> &Self::Target

Dereferences the value.

impl<T> Deref for Matrix<T, 4, 1>

type Target = XYZW<T>

The resulting type after dereferencing.

fn deref(&self) -> &Self::Target

Dereferences the value.

impl<T> Deref for Matrix<T, 5, 1>

type Target = XYZWA<T>

The resulting type after dereferencing.

fn deref(&self) -> &Self::Target

Dereferences the value.

impl<T> Deref for Matrix<T, 6, 1>

type Target = XYZWAB<T>

The resulting type after dereferencing.

fn deref(&self) -> &Self::Target

Dereferences the value.

impl<T> DerefMut for Matrix<T, 1, 1>

fn deref_mut(&mut self) -> &mut Self::Target

Mutably dereferences the value.

impl<T> DerefMut for Matrix<T, 1, 2>

fn deref_mut(&mut self) -> &mut Self::Target

Mutably dereferences the value.

impl<T> DerefMut for Matrix<T, 1, 3>

fn deref_mut(&mut self) -> &mut Self::Target

Mutably dereferences the value.

impl<T> DerefMut for Matrix<T, 1, 4>

fn deref_mut(&mut self) -> &mut Self::Target

Mutably dereferences the value.

impl<T> DerefMut for Matrix<T, 1, 5>

fn deref_mut(&mut self) -> &mut Self::Target

Mutably dereferences the value.

impl<T> DerefMut for Matrix<T, 1, 6>

fn deref_mut(&mut self) -> &mut Self::Target

Mutably dereferences the value.

impl<T> DerefMut for Matrix<T, 2, 1>

fn deref_mut(&mut self) -> &mut Self::Target

Mutably dereferences the value.

impl<T> DerefMut for Matrix<T, 3, 1>

fn deref_mut(&mut self) -> &mut Self::Target

Mutably dereferences the value.

impl<T> DerefMut for Matrix<T, 4, 1>

fn deref_mut(&mut self) -> &mut Self::Target

Mutably dereferences the value.

impl<T> DerefMut for Matrix<T, 5, 1>

fn deref_mut(&mut self) -> &mut Self::Target

Mutably dereferences the value.

impl<T> DerefMut for Matrix<T, 6, 1>

fn deref_mut(&mut self) -> &mut Self::Target

Mutably dereferences the value.

impl<T: Display, const M: usize, const N: usize> Display for Matrix<T, M, N>

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

Formats the value using the given formatter.

impl<T, const M: usize, const N: usize> Div<&T> for &Matrix<T, M, N>

where T: Copy + Zero + Div<Output = T>,

type Output = Matrix<T, M, N>

The resulting type after applying the / operator.

fn div(self, other: &T) -> Self::Output

Performs the / operation.

impl<T, const M: usize, const N: usize> Div<&T> for Matrix<T, M, N>

where T: Copy + Div<Output = T>,

type Output = Matrix<T, M, N>

The resulting type after applying the / operator.

fn div(self, other: &T) -> Self::Output

Performs the / operation.

impl<T, const M: usize, const N: usize> Div<T> for &Matrix<T, M, N>

where T: Copy + Zero + Div<Output = T>,

type Output = Matrix<T, M, N>

The resulting type after applying the / operator.

fn div(self, other: T) -> Self::Output

Performs the / operation.

impl<T, const M: usize, const N: usize> Div<T> for Matrix<T, M, N>

where T: Copy + Div<Output = T>,

type Output = Matrix<T, M, N>

The resulting type after applying the / operator.

fn div(self, other: T) -> Self::Output

Performs the / operation.

impl<T, const M: usize, const N: usize> DivAssign<&T> for Matrix<T, M, N>

where T: Copy + DivAssign<T>,

fn div_assign(&mut self, other: &T)

Performs the /= operation.

impl<'a, T, const M: usize, const N: usize> DivAssign<T> for Matrix<T, M, N>

where T: Copy + DivAssign<T>,

fn div_assign(&mut self, other: T)

Performs the /= operation.

impl<T> From<[T; 1]> for Matrix<T, 1, 1>

fn from(arr: [T; 1]) -> Self

Converts to this type from the input type.

impl<T> From<(T,)> for Matrix<T, 1, 1>

fn from((x): (T,)) -> Self

Converts to this type from the input type.

impl<T, const M: usize, const N: usize> FromIterator<T> for Matrix<T, M, N>

fn from_iter<I>(iter: I) -> Self

where I: IntoIterator<Item = T>,

Create a new matrix from an iterator.

Elements will be filled in column-major order.

Panics

If the iterator doesn’t yield enough elements to fill the matrix.

impl<T: Hash, const M: usize, const N: usize> Hash for Matrix<T, M, N>

fn hash<__H: Hasher>(&self, state: &mut __H)

Feeds this value into the given Hasher.

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

where H: Hasher, Self: Sized,

Feeds a slice of this type into the given Hasher.

impl<T, I, const M: usize, const N: usize> Index<I> for Matrix<T, M, N>

where I: MatrixIndex<Self>,

type Output = <I as MatrixIndex<Matrix<T, M, N>>>::Output

The returned type after indexing.

fn index(&self, index: I) -> &I::Output

Performs the indexing (container[index]) operation.

impl<T, I, const M: usize, const N: usize> IndexMut<I> for Matrix<T, M, N>

where I: MatrixIndex<Self>,

fn index_mut(&mut self, index: I) -> &mut I::Output

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

impl<T, const M: usize, const N: usize> IntoIterator for Matrix<T, M, N>

type Item = T

The type of the elements being iterated over.

type IntoIter = IntoIter<T, M, N>

Which kind of iterator are we turning this into?

fn into_iter(self) -> Self::IntoIter

Creates an iterator from a value.

impl<T: LowerExp, const M: usize, const N: usize> LowerExp for Matrix<T, M, N>

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

Formats the value using the given formatter.

impl<T: LowerHex, const M: usize, const N: usize> LowerHex for Matrix<T, M, N>

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

Formats the value using the given formatter.

impl<T, const M: usize, const N: usize> MatrixIndex<Matrix<T, M, N>> for (usize, usize)

type Output = T

The output type returned by methods.

fn get(self, matrix: &Matrix<T, M, N>) -> Option<&Self::Output>

Returns a shared reference to the output at this location, if in bounds.

fn get_mut(self, matrix: &mut Matrix<T, M, N>) -> Option<&mut Self::Output>

Returns a mutable reference to the output at this location, if in bounds.

unsafe fn get_unchecked( self, matrix: *const Matrix<T, M, N>, ) -> *const Self::Output

Returns a shared reference to the output at this location, without performing any bounds checking.

unsafe fn get_unchecked_mut( self, matrix: *mut Matrix<T, M, N>, ) -> *mut Self::Output

Returns a mutable reference to the output at this location, without performing any bounds checking.

fn index(self, matrix: &Matrix<T, M, N>) -> &Self::Output

Returns a shared reference to the output at this location, panicking if out of bounds.

fn index_mut(self, matrix: &mut Matrix<T, M, N>) -> &mut Self::Output

Returns a mutable reference to the output at this location, panicking if out of bounds.

impl<T, const M: usize, const N: usize> MatrixIndex<Matrix<T, M, N>> for usize

type Output = T

The output type returned by methods.

fn get(self, matrix: &Matrix<T, M, N>) -> Option<&Self::Output>

Returns a shared reference to the output at this location, if in bounds.

fn get_mut(self, matrix: &mut Matrix<T, M, N>) -> Option<&mut Self::Output>

Returns a mutable reference to the output at this location, if in bounds.

unsafe fn get_unchecked( self, matrix: *const Matrix<T, M, N>, ) -> *const Self::Output

Returns a shared reference to the output at this location, without performing any bounds checking.

unsafe fn get_unchecked_mut( self, matrix: *mut Matrix<T, M, N>, ) -> *mut Self::Output

Returns a mutable reference to the output at this location, without performing any bounds checking.

fn index(self, matrix: &Matrix<T, M, N>) -> &Self::Output

Returns a shared reference to the output at this location, panicking if out of bounds.

fn index_mut(self, matrix: &mut Matrix<T, M, N>) -> &mut Self::Output

Returns a mutable reference to the output at this location, panicking if out of bounds.

impl<T, const N: usize, const M: usize, const P: usize> Mul<&Matrix<T, N, P>> for &Matrix<T, M, N>

where T: Copy + Zero + Mul<Output = T> + Sum,

type Output = Matrix<T, M, P>

The resulting type after applying the * operator.

fn mul(self, rhs: &Matrix<T, N, P>) -> Self::Output

Performs the * operation.

impl<T, const N: usize, const M: usize, const P: usize> Mul<&Matrix<T, N, P>> for Matrix<T, M, N>

where T: Copy + Zero + Mul<Output = T> + Sum,

type Output = Matrix<T, M, P>

The resulting type after applying the * operator.

fn mul(self, rhs: &Matrix<T, N, P>) -> Self::Output

Performs the * operation.

impl<T, const M: usize, const N: usize> Mul<&T> for &Matrix<T, M, N>

where T: Copy + Zero + Mul<Output = T>,

type Output = Matrix<T, M, N>

The resulting type after applying the * operator.

fn mul(self, other: &T) -> Self::Output

Performs the * operation.

impl<T, const M: usize, const N: usize> Mul<&T> for Matrix<T, M, N>

where T: Copy + Mul<Output = T>,

type Output = Matrix<T, M, N>

The resulting type after applying the * operator.

fn mul(self, other: &T) -> Self::Output

Performs the * operation.

impl<T, const N: usize, const M: usize, const P: usize> Mul<Matrix<T, N, P>> for &Matrix<T, M, N>

where T: Copy + Zero + Mul<Output = T> + Sum,

type Output = Matrix<T, M, P>

The resulting type after applying the * operator.

fn mul(self, rhs: Matrix<T, N, P>) -> Self::Output

Performs the * operation.

impl<T, const N: usize, const M: usize, const P: usize> Mul<Matrix<T, N, P>> for Matrix<T, M, N>

where T: Copy + Zero + Mul<Output = T> + Sum,

type Output = Matrix<T, M, P>

The resulting type after applying the * operator.

fn mul(self, rhs: Matrix<T, N, P>) -> Self::Output

Performs the * operation.

impl<T, const M: usize, const N: usize> Mul<T> for &Matrix<T, M, N>

where T: Copy + Zero + Mul<Output = T>,

type Output = Matrix<T, M, N>

The resulting type after applying the * operator.

fn mul(self, other: T) -> Self::Output

Performs the * operation.

impl<T, const M: usize, const N: usize> Mul<T> for Matrix<T, M, N>

where T: Copy + Mul<Output = T>,

type Output = Matrix<T, M, N>

The resulting type after applying the * operator.

fn mul(self, other: T) -> Self::Output

Performs the * operation.

impl<T, const M: usize, const N: usize> MulAssign<&T> for Matrix<T, M, N>

where T: Copy + MulAssign<T>,

fn mul_assign(&mut self, other: &T)

Performs the *= operation.

impl<'a, T, const M: usize, const N: usize> MulAssign<T> for Matrix<T, M, N>

where T: Copy + MulAssign<T>,

fn mul_assign(&mut self, other: T)

Performs the *= operation.

impl<T, const M: usize, const N: usize> Neg for &Matrix<T, M, N>

where T: Copy + Zero + Neg<Output = T>,

type Output = Matrix<T, M, N>

The resulting type after applying the - operator.

fn neg(self) -> Self::Output

Performs the unary - operation.

impl<T, const M: usize, const N: usize> Neg for Matrix<T, M, N>

where T: Copy + Zero + Neg<Output = T>,

type Output = Matrix<T, M, N>

The resulting type after applying the - operator.

fn neg(self) -> Self::Output

Performs the unary - operation.

impl<T, const M: usize, const N: usize> Not for &Matrix<T, M, N>

where T: Copy + Zero + Not<Output = T>,

type Output = Matrix<T, M, N>

The resulting type after applying the ! operator.

fn not(self) -> Self::Output

Performs the unary ! operation.

impl<T, const M: usize, const N: usize> Not for Matrix<T, M, N>

where T: Copy + Zero + Not<Output = T>,

type Output = Matrix<T, M, N>

The resulting type after applying the ! operator.

fn not(self) -> Self::Output

Performs the unary ! operation.

impl<T: Octal, const M: usize, const N: usize> Octal for Matrix<T, M, N>

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

Formats the value using the given formatter.

impl<T: Ord, const M: usize, const N: usize> Ord for Matrix<T, M, N>

fn cmp(&self, other: &Matrix<T, M, N>) -> Ordering

This method returns an Ordering between self and other.

fn max(self, other: Self) -> Self

where Self: Sized,

Compares and returns the maximum of two values.

fn min(self, other: Self) -> Self

where Self: Sized,

Compares and returns the minimum of two values.

fn clamp(self, min: Self, max: Self) -> Self

where Self: Sized,

Restrict a value to a certain interval.

impl<T: PartialEq, const M: usize, const N: usize> PartialEq for Matrix<T, M, N>

fn eq(&self, other: &Matrix<T, M, N>) -> bool

Tests for self and other values to be equal, and is used by ==.

fn ne(&self, other: &Rhs) -> bool

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

impl<T: PartialOrd, const M: usize, const N: usize> PartialOrd for Matrix<T, M, N>

fn partial_cmp(&self, other: &Matrix<T, M, N>) -> Option<Ordering>

This method returns an ordering between self and other values if one exists.

fn lt(&self, other: &Rhs) -> bool

Tests less than (for self and other) and is used by the < operator.

fn le(&self, other: &Rhs) -> bool

Tests less than or equal to (for self and other) and is used by the <= operator.

fn gt(&self, other: &Rhs) -> bool

Tests greater than (for self and other) and is used by the > operator.

fn ge(&self, other: &Rhs) -> bool

Tests greater than or equal to (for self and other) and is used by the >= operator.

impl<T, const M: usize, const N: usize> Rem<&T> for &Matrix<T, M, N>

where T: Copy + Zero + Rem<Output = T>,

type Output = Matrix<T, M, N>

The resulting type after applying the % operator.

fn rem(self, other: &T) -> Self::Output

Performs the % operation.

impl<T, const M: usize, const N: usize> Rem<&T> for Matrix<T, M, N>

where T: Copy + Rem<Output = T>,

type Output = Matrix<T, M, N>

The resulting type after applying the % operator.

fn rem(self, other: &T) -> Self::Output

Performs the % operation.

impl<T, const M: usize, const N: usize> Rem<T> for &Matrix<T, M, N>

where T: Copy + Zero + Rem<Output = T>,

type Output = Matrix<T, M, N>

The resulting type after applying the % operator.

fn rem(self, other: T) -> Self::Output

Performs the % operation.

impl<T, const M: usize, const N: usize> Rem<T> for Matrix<T, M, N>

where T: Copy + Rem<Output = T>,

type Output = Matrix<T, M, N>

The resulting type after applying the % operator.

fn rem(self, other: T) -> Self::Output

Performs the % operation.

impl<T, const M: usize, const N: usize> RemAssign<&T> for Matrix<T, M, N>

where T: Copy + RemAssign<T>,

fn rem_assign(&mut self, other: &T)

Performs the %= operation.

impl<'a, T, const M: usize, const N: usize> RemAssign<T> for Matrix<T, M, N>

where T: Copy + RemAssign<T>,

fn rem_assign(&mut self, other: T)

Performs the %= operation.

impl<T, const M: usize, const N: usize> Shl<&T> for &Matrix<T, M, N>

where T: Copy + Zero + Shl<Output = T>,

type Output = Matrix<T, M, N>

The resulting type after applying the << operator.

fn shl(self, other: &T) -> Self::Output

Performs the << operation.

impl<T, const M: usize, const N: usize> Shl<&T> for Matrix<T, M, N>

where T: Copy + Shl<Output = T>,

type Output = Matrix<T, M, N>

The resulting type after applying the << operator.

fn shl(self, other: &T) -> Self::Output

Performs the << operation.

impl<T, const M: usize, const N: usize> Shl<T> for &Matrix<T, M, N>

where T: Copy + Zero + Shl<Output = T>,

type Output = Matrix<T, M, N>

The resulting type after applying the << operator.

fn shl(self, other: T) -> Self::Output

Performs the << operation.

impl<T, const M: usize, const N: usize> Shl<T> for Matrix<T, M, N>

where T: Copy + Shl<Output = T>,

type Output = Matrix<T, M, N>

The resulting type after applying the << operator.

fn shl(self, other: T) -> Self::Output

Performs the << operation.

impl<T, const M: usize, const N: usize> ShlAssign<&T> for Matrix<T, M, N>

where T: Copy + ShlAssign<T>,

fn shl_assign(&mut self, other: &T)

Performs the <<= operation.

impl<'a, T, const M: usize, const N: usize> ShlAssign<T> for Matrix<T, M, N>

where T: Copy + ShlAssign<T>,

fn shl_assign(&mut self, other: T)

Performs the <<= operation.

impl<T, const M: usize, const N: usize> Shr<&T> for &Matrix<T, M, N>

where T: Copy + Zero + Shr<Output = T>,

type Output = Matrix<T, M, N>

The resulting type after applying the >> operator.

fn shr(self, other: &T) -> Self::Output

Performs the >> operation.

impl<T, const M: usize, const N: usize> Shr<&T> for Matrix<T, M, N>

where T: Copy + Shr<Output = T>,

type Output = Matrix<T, M, N>

The resulting type after applying the >> operator.

fn shr(self, other: &T) -> Self::Output

Performs the >> operation.

impl<T, const M: usize, const N: usize> Shr<T> for &Matrix<T, M, N>

where T: Copy + Zero + Shr<Output = T>,

type Output = Matrix<T, M, N>

The resulting type after applying the >> operator.

fn shr(self, other: T) -> Self::Output

Performs the >> operation.

impl<T, const M: usize, const N: usize> Shr<T> for Matrix<T, M, N>

where T: Copy + Shr<Output = T>,

type Output = Matrix<T, M, N>

The resulting type after applying the >> operator.

fn shr(self, other: T) -> Self::Output

Performs the >> operation.

impl<T, const M: usize, const N: usize> ShrAssign<&T> for Matrix<T, M, N>

where T: Copy + ShrAssign<T>,

fn shr_assign(&mut self, other: &T)

Performs the >>= operation.

impl<'a, T, const M: usize, const N: usize> ShrAssign<T> for Matrix<T, M, N>

where T: Copy + ShrAssign<T>,

fn shr_assign(&mut self, other: T)

Performs the >>= operation.

impl<T, const M: usize, const N: usize> Sub<&Matrix<T, M, N>> for &Matrix<T, M, N>

where T: Copy + Zero + Sub<Output = T>,

type Output = Matrix<T, M, N>

The resulting type after applying the - operator.

fn sub(self, other: &Matrix<T, M, N>) -> Self::Output

Performs the - operation.

impl<T, const M: usize, const N: usize> Sub<&Matrix<T, M, N>> for Matrix<T, M, N>

where T: Copy + Sub<Output = T>,

type Output = Matrix<T, M, N>

The resulting type after applying the - operator.

fn sub(self, other: &Matrix<T, M, N>) -> Self::Output

Performs the - operation.

impl<T, const M: usize, const N: usize> Sub<&T> for &Matrix<T, M, N>

where T: Copy + Zero + Sub<Output = T>,

type Output = Matrix<T, M, N>

The resulting type after applying the - operator.

fn sub(self, other: &T) -> Self::Output

Performs the - operation.

impl<T, const M: usize, const N: usize> Sub<&T> for Matrix<T, M, N>

where T: Copy + Sub<Output = T>,

type Output = Matrix<T, M, N>

The resulting type after applying the - operator.

fn sub(self, other: &T) -> Self::Output

Performs the - operation.

impl<T, const M: usize, const N: usize> Sub<Matrix<T, M, N>> for &Matrix<T, M, N>

where T: Copy + Zero + Sub<Output = T>,

type Output = Matrix<T, M, N>

The resulting type after applying the - operator.

fn sub(self, other: Matrix<T, M, N>) -> Self::Output

Performs the - operation.

impl<T, const M: usize, const N: usize> Sub<T> for &Matrix<T, M, N>

where T: Copy + Zero + Sub<Output = T>,

type Output = Matrix<T, M, N>

The resulting type after applying the - operator.

fn sub(self, other: T) -> Self::Output

Performs the - operation.

impl<T, const M: usize, const N: usize> Sub<T> for Matrix<T, M, N>

where T: Copy + Sub<Output = T>,

type Output = Matrix<T, M, N>

The resulting type after applying the - operator.

fn sub(self, other: T) -> Self::Output

Performs the - operation.

impl<T, const M: usize, const N: usize> Sub for Matrix<T, M, N>

where T: Copy + Sub<Output = T>,

type Output = Matrix<T, M, N>

The resulting type after applying the - operator.

fn sub(self, other: Matrix<T, M, N>) -> Self::Output

Performs the - operation.

impl<T, const M: usize, const N: usize> SubAssign<&Matrix<T, M, N>> for Matrix<T, M, N>

where T: Copy + SubAssign,

fn sub_assign(&mut self, other: &Matrix<T, M, N>)

Performs the -= operation.

impl<T, const M: usize, const N: usize> SubAssign<&T> for Matrix<T, M, N>

where T: Copy + SubAssign<T>,

fn sub_assign(&mut self, other: &T)

Performs the -= operation.

impl<'a, T, const M: usize, const N: usize> SubAssign<T> for Matrix<T, M, N>

where T: Copy + SubAssign<T>,

fn sub_assign(&mut self, other: T)

Performs the -= operation.

impl<T, const M: usize, const N: usize> SubAssign for Matrix<T, M, N>

where T: Copy + SubAssign,

fn sub_assign(&mut self, other: Matrix<T, M, N>)

Performs the -= operation.

impl<T, const M: usize, const N: usize> Sum for Matrix<T, M, N>

where Self: Add<Output = Self>, T: Copy + Zero,

fn sum<I>(iter: I) -> Self

where I: Iterator<Item = Self>,

Takes an iterator and generates Self from the elements by “summing up” the items.

impl<T: UpperExp, const M: usize, const N: usize> UpperExp for Matrix<T, M, N>

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

Formats the value using the given formatter.

impl<T: UpperHex, const M: usize, const N: usize> UpperHex for Matrix<T, M, N>

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

Formats the value using the given formatter.

impl<T: Copy, const M: usize, const N: usize> Copy for Matrix<T, M, N>

impl<T: Eq, const M: usize, const N: usize> Eq for Matrix<T, M, N>

impl<T, const M: usize, const N: usize> StructuralPartialEq for Matrix<T, M, N>