Matrix

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Struct Matrix 

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pub struct Matrix<T, const R: usize, const C: usize> {
    pub data: [[T; R]; C],
}

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§data: [[T; R]; C]

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impl<T: Clone, const R: usize, const C: usize> Matrix<T, R, C>

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pub fn row(&self, index: usize) -> Vector<T, C>

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pub fn col(&self, index: usize) -> Vector<T, R>

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pub unsafe fn get_unchecked(&self, (row, col): (usize, usize)) -> T

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pub fn t(&self) -> Matrix<T, C, R>

transpose

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pub fn block<const M: usize, const N: usize>( &self, start_row: usize, start_col: usize, ) -> Matrix<T, M, N>

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impl<T: Clone> Matrix<T, 1, 1>

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pub fn determinant(&self) -> T

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impl<T: Mul<Output = T> + Sub<Output = T> + Clone> Matrix<T, 2, 2>

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pub fn determinant(&self) -> T

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impl<T: Mul<Output = T> + Add<Output = T> + Sub<Output = T> + Clone> Matrix<T, 3, 3>

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pub fn determinant(&self) -> T

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impl<T: Mul<Output = T> + Add<Output = T> + Sub<Output = T> + Zero + Clone> Matrix<T, 4, 4>

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pub fn minor(&self, i: usize, j: usize) -> T

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pub fn determinant(&self) -> T

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impl<T: Mul<Output = T> + Add<Output = T> + Sub<Output = T> + Zero + Clone> Matrix<T, 5, 5>

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pub fn minor(&self, i: usize, j: usize) -> T

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pub fn determinant(&self) -> T

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impl<T: Mul<Output = T> + Add<Output = T> + Sub<Output = T> + Zero + Clone> Matrix<T, 6, 6>

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pub fn minor(&self, i: usize, j: usize) -> T

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pub fn determinant(&self) -> T

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

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pub const fn new(m11: T, m12: T, m21: T, m22: T) -> Self

Initializes this matrix from its components.

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

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pub const fn new( m11: T, m12: T, m13: T, m21: T, m22: T, m23: T, m31: T, m32: T, m33: T, ) -> Self

Initializes this matrix from its components.

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

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pub const fn new( m11: T, m12: T, m13: T, m14: T, m21: T, m22: T, m23: T, m24: T, m31: T, m32: T, m33: T, m34: T, m41: T, m42: T, m43: T, m44: T, ) -> Self

Initializes this matrix from its components.

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

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pub const fn new( m11: T, m12: T, m13: T, m14: T, m15: T, m21: T, m22: T, m23: T, m24: T, m25: T, m31: T, m32: T, m33: T, m34: T, m35: T, m41: T, m42: T, m43: T, m44: T, m45: T, m51: T, m52: T, m53: T, m54: T, m55: T, ) -> Self

Initializes this matrix from its components.

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

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pub const fn new( m11: T, m12: T, m13: T, m14: T, m15: T, m16: T, m21: T, m22: T, m23: T, m24: T, m25: T, m26: T, m31: T, m32: T, m33: T, m34: T, m35: T, m36: T, m41: T, m42: T, m43: T, m44: T, m45: T, m46: T, m51: T, m52: T, m53: T, m54: T, m55: T, m56: T, m61: T, m62: T, m63: T, m64: T, m65: T, m66: T, ) -> Self

Initializes this matrix from its components.

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impl<T> Matrix<T, 2, 3>

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pub const fn new(m11: T, m12: T, m13: T, m21: T, m22: T, m23: T) -> Self

Initializes this matrix from its components.

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impl<T> Matrix<T, 2, 4>

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pub const fn new( m11: T, m12: T, m13: T, m14: T, m21: T, m22: T, m23: T, m24: T, ) -> Self

Initializes this matrix from its components.

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impl<T> Matrix<T, 2, 5>

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pub const fn new( m11: T, m12: T, m13: T, m14: T, m15: T, m21: T, m22: T, m23: T, m24: T, m25: T, ) -> Self

Initializes this matrix from its components.

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impl<T> Matrix<T, 2, 6>

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pub const fn new( m11: T, m12: T, m13: T, m14: T, m15: T, m16: T, m21: T, m22: T, m23: T, m24: T, m25: T, m26: T, ) -> Self

Initializes this matrix from its components.

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impl<T> Matrix<T, 3, 2>

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pub const fn new(m11: T, m12: T, m21: T, m22: T, m31: T, m32: T) -> Self

Initializes this matrix from its components.

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impl<T> Matrix<T, 3, 4>

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pub const fn new( m11: T, m12: T, m13: T, m14: T, m21: T, m22: T, m23: T, m24: T, m31: T, m32: T, m33: T, m34: T, ) -> Self

Initializes this matrix from its components.

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impl<T> Matrix<T, 3, 5>

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pub const fn new( m11: T, m12: T, m13: T, m14: T, m15: T, m21: T, m22: T, m23: T, m24: T, m25: T, m31: T, m32: T, m33: T, m34: T, m35: T, ) -> Self

Initializes this matrix from its components.

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impl<T> Matrix<T, 3, 6>

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pub const fn new( m11: T, m12: T, m13: T, m14: T, m15: T, m16: T, m21: T, m22: T, m23: T, m24: T, m25: T, m26: T, m31: T, m32: T, m33: T, m34: T, m35: T, m36: T, ) -> Self

Initializes this matrix from its components.

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impl<T> Matrix<T, 4, 2>

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pub const fn new( m11: T, m12: T, m21: T, m22: T, m31: T, m32: T, m41: T, m42: T, ) -> Self

Initializes this matrix from its components.

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impl<T> Matrix<T, 4, 3>

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pub const fn new( m11: T, m12: T, m13: T, m21: T, m22: T, m23: T, m31: T, m32: T, m33: T, m41: T, m42: T, m43: T, ) -> Self

Initializes this matrix from its components.

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impl<T> Matrix<T, 4, 5>

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pub const fn new( m11: T, m12: T, m13: T, m14: T, m15: T, m21: T, m22: T, m23: T, m24: T, m25: T, m31: T, m32: T, m33: T, m34: T, m35: T, m41: T, m42: T, m43: T, m44: T, m45: T, ) -> Self

Initializes this matrix from its components.

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impl<T> Matrix<T, 4, 6>

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pub const fn new( m11: T, m12: T, m13: T, m14: T, m15: T, m16: T, m21: T, m22: T, m23: T, m24: T, m25: T, m26: T, m31: T, m32: T, m33: T, m34: T, m35: T, m36: T, m41: T, m42: T, m43: T, m44: T, m45: T, m46: T, ) -> Self

Initializes this matrix from its components.

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impl<T> Matrix<T, 5, 2>

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pub const fn new( m11: T, m12: T, m21: T, m22: T, m31: T, m32: T, m41: T, m42: T, m51: T, m52: T, ) -> Self

Initializes this matrix from its components.

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impl<T> Matrix<T, 5, 3>

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pub const fn new( m11: T, m12: T, m13: T, m21: T, m22: T, m23: T, m31: T, m32: T, m33: T, m41: T, m42: T, m43: T, m51: T, m52: T, m53: T, ) -> Self

Initializes this matrix from its components.

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impl<T> Matrix<T, 5, 4>

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pub const fn new( m11: T, m12: T, m13: T, m14: T, m21: T, m22: T, m23: T, m24: T, m31: T, m32: T, m33: T, m34: T, m41: T, m42: T, m43: T, m44: T, m51: T, m52: T, m53: T, m54: T, ) -> Self

Initializes this matrix from its components.

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impl<T> Matrix<T, 5, 6>

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pub const fn new( m11: T, m12: T, m13: T, m14: T, m15: T, m16: T, m21: T, m22: T, m23: T, m24: T, m25: T, m26: T, m31: T, m32: T, m33: T, m34: T, m35: T, m36: T, m41: T, m42: T, m43: T, m44: T, m45: T, m46: T, m51: T, m52: T, m53: T, m54: T, m55: T, m56: T, ) -> Self

Initializes this matrix from its components.

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impl<T> Matrix<T, 6, 2>

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pub const fn new( m11: T, m12: T, m21: T, m22: T, m31: T, m32: T, m41: T, m42: T, m51: T, m52: T, m61: T, m62: T, ) -> Self

Initializes this matrix from its components.

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impl<T> Matrix<T, 6, 3>

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pub const fn new( m11: T, m12: T, m13: T, m21: T, m22: T, m23: T, m31: T, m32: T, m33: T, m41: T, m42: T, m43: T, m51: T, m52: T, m53: T, m61: T, m62: T, m63: T, ) -> Self

Initializes this matrix from its components.

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impl<T> Matrix<T, 6, 4>

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pub const fn new( m11: T, m12: T, m13: T, m14: T, m21: T, m22: T, m23: T, m24: T, m31: T, m32: T, m33: T, m34: T, m41: T, m42: T, m43: T, m44: T, m51: T, m52: T, m53: T, m54: T, m61: T, m62: T, m63: T, m64: T, ) -> Self

Initializes this matrix from its components.

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impl<T> Matrix<T, 6, 5>

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pub const fn new( m11: T, m12: T, m13: T, m14: T, m15: T, m21: T, m22: T, m23: T, m24: T, m25: T, m31: T, m32: T, m33: T, m34: T, m35: T, m41: T, m42: T, m43: T, m44: T, m45: T, m51: T, m52: T, m53: T, m54: T, m55: T, m61: T, m62: T, m63: T, m64: T, m65: T, ) -> Self

Initializes this matrix from its components.

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

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

Initializes this matrix from its components.

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

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

Initializes this matrix from its components.

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

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

Initializes this matrix from its components.

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

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

Initializes this matrix from its components.

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

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

Initializes this matrix from its components.

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

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

Initializes this matrix from its components.

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

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

Initializes this matrix from its components.

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

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

Initializes this matrix from its components.

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

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

Initializes this matrix from its components.

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

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

Initializes this matrix from its components.

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

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

Initializes this matrix from its components.

Trait Implementations§

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impl<T: AddAssign + Clone, const R: usize, const C: usize> Add for &Matrix<T, R, C>

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type Output = Matrix<T, R, C>

The resulting type after applying the + operator.
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fn add(self, rhs: Self) -> Self::Output

Performs the + operation. Read more
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impl<T: AddAssign, const R: usize, const C: usize> Add for Matrix<T, R, C>

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type Output = Matrix<T, R, C>

The resulting type after applying the + operator.
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fn add(self, rhs: Self) -> Self::Output

Performs the + operation. Read more
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impl<T: Clone, const R: usize, const C: usize> Clone for Matrix<T, R, C>

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fn clone(&self) -> Matrix<T, R, C>

Returns a duplicate of the value. Read more
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fn clone_from(&mut self, source: &Self)

Performs copy-assignment from source. Read more
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impl<T: Debug, const R: usize, const C: usize> Debug for Matrix<T, R, C>

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

Formats the value using the given formatter. Read more
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impl<T: Display, const R: usize, const C: usize> Display for Matrix<T, R, C>

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

Formats the value using the given formatter. Read more
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impl<T: Mul<Output = T> + AddAssign + Zero + Clone, const R: usize, const C: usize, const D: usize> Mul<&Matrix<T, C, D>> for &Matrix<T, R, C>

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type Output = Matrix<T, R, D>

The resulting type after applying the * operator.
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fn mul(self, rhs: &Matrix<T, C, D>) -> Self::Output

Performs the * operation. Read more
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impl<T: Mul<Output = T> + AddAssign + Zero + Clone, const R: usize, const C: usize> Mul<&Vector<T, C>> for &Matrix<T, R, C>

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type Output = Vector<T, R>

The resulting type after applying the * operator.
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fn mul(self, rhs: &Vector<T, C>) -> Self::Output

Performs the * operation. Read more
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impl<T: Mul<Output = T> + AddAssign + Zero + Clone, const R: usize, const C: usize, const D: usize> Mul<Matrix<T, C, D>> for Matrix<T, R, C>

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type Output = Matrix<T, R, D>

The resulting type after applying the * operator.
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fn mul(self, rhs: Matrix<T, C, D>) -> Self::Output

Performs the * operation. Read more
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impl<T: MulAssign + Clone, const R: usize, const C: usize> Mul<T> for &Matrix<T, R, C>

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type Output = Matrix<T, R, C>

The resulting type after applying the * operator.
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fn mul(self, rhs: T) -> Self::Output

Performs the * operation. Read more
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impl<T: MulAssign + Clone, const R: usize, const C: usize> Mul<T> for Matrix<T, R, C>

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type Output = Matrix<T, R, C>

The resulting type after applying the * operator.
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fn mul(self, rhs: T) -> Self::Output

Performs the * operation. Read more
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impl<T: Mul<Output = T> + AddAssign + Zero + Clone, const R: usize, const C: usize> Mul<Vector<T, C>> for Matrix<T, R, C>

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type Output = Vector<T, R>

The resulting type after applying the * operator.
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fn mul(self, rhs: Vector<T, C>) -> Self::Output

Performs the * operation. Read more
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impl<T: Neg<Output = T> + Clone, const R: usize, const C: usize> Neg for &Matrix<T, R, C>

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type Output = Matrix<T, R, C>

The resulting type after applying the - operator.
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fn neg(self) -> Self::Output

Performs the unary - operation. Read more
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impl<T: Neg<Output = T> + Clone, const R: usize, const C: usize> Neg for Matrix<T, R, C>

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type Output = Matrix<T, R, C>

The resulting type after applying the - operator.
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fn neg(self) -> Self::Output

Performs the unary - operation. Read more
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impl<T: PartialEq, const R: usize, const C: usize> PartialEq for Matrix<T, R, C>

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fn eq(&self, other: &Matrix<T, R, C>) -> bool

Tests for self and other values to be equal, and is used by ==.
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fn ne(&self, other: &Rhs) -> bool

Tests for !=. The default implementation is almost always sufficient, and should not be overridden without very good reason.
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impl<T: SubAssign + Clone, const R: usize, const C: usize> Sub for &Matrix<T, R, C>

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type Output = Matrix<T, R, C>

The resulting type after applying the - operator.
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fn sub(self, rhs: Self) -> Self::Output

Performs the - operation. Read more
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impl<T: SubAssign, const R: usize, const C: usize> Sub for Matrix<T, R, C>

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type Output = Matrix<T, R, C>

The resulting type after applying the - operator.
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fn sub(self, rhs: Self) -> Self::Output

Performs the - operation. Read more
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impl<T: Eq, const R: usize, const C: usize> Eq for Matrix<T, R, C>

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impl<T, const R: usize, const C: usize> StructuralPartialEq for Matrix<T, R, C>

Auto Trait Implementations§

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impl<T, const R: usize, const C: usize> Freeze for Matrix<T, R, C>
where T: Freeze,

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impl<T, const R: usize, const C: usize> RefUnwindSafe for Matrix<T, R, C>
where T: RefUnwindSafe,

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impl<T, const R: usize, const C: usize> Send for Matrix<T, R, C>
where T: Send,

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impl<T, const R: usize, const C: usize> Sync for Matrix<T, R, C>
where T: Sync,

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impl<T, const R: usize, const C: usize> Unpin for Matrix<T, R, C>
where T: Unpin,

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impl<T, const R: usize, const C: usize> UnwindSafe for Matrix<T, R, C>
where T: UnwindSafe,

Blanket Implementations§

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impl<T> Any for T
where T: 'static + ?Sized,

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fn type_id(&self) -> TypeId

Gets the TypeId of self. Read more
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impl<T> Borrow<T> for T
where T: ?Sized,

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fn borrow(&self) -> &T

Immutably borrows from an owned value. Read more
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impl<T> BorrowMut<T> for T
where T: ?Sized,

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fn borrow_mut(&mut self) -> &mut T

Mutably borrows from an owned value. Read more
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impl<T> CloneToUninit for T
where T: Clone,

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unsafe fn clone_to_uninit(&self, dest: *mut u8)

🔬This is a nightly-only experimental API. (clone_to_uninit)
Performs copy-assignment from self to dest. Read more
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impl<T> From<T> for T

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fn from(t: T) -> T

Returns the argument unchanged.

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impl<T, U> Into<U> for T
where U: From<T>,

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fn into(self) -> U

Calls U::from(self).

That is, this conversion is whatever the implementation of From<T> for U chooses to do.

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impl<T> ToOwned for T
where T: Clone,

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type Owned = T

The resulting type after obtaining ownership.
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fn to_owned(&self) -> T

Creates owned data from borrowed data, usually by cloning. Read more
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fn clone_into(&self, target: &mut T)

Uses borrowed data to replace owned data, usually by cloning. Read more
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impl<T> ToString for T
where T: Display + ?Sized,

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fn to_string(&self) -> String

Converts the given value to a String. Read more
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impl<T, U> TryFrom<U> for T
where U: Into<T>,

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type Error = Infallible

The type returned in the event of a conversion error.
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fn try_from(value: U) -> Result<T, <T as TryFrom<U>>::Error>

Performs the conversion.
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impl<T, U> TryInto<U> for T
where U: TryFrom<T>,

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type Error = <U as TryFrom<T>>::Error

The type returned in the event of a conversion error.
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fn try_into(self) -> Result<U, <U as TryFrom<T>>::Error>

Performs the conversion.