Trait truck_rendimpl::polymesh::SquareMatrix [−]
A column-major major matrix where the rows and column vectors are of the same dimensions.
Associated Types
type ColumnRow: Array + VectorSpace
The row/column vector of the matrix.
This is used to constrain the column and rows to be of the same type in lieu of equality
constraints being implemented for where
clauses. Once those are added, this type will
likely go away.
Required methods
pub fn from_value(value: Self::Scalar) -> Self
Create a new diagonal matrix using the supplied value.
pub fn from_diagonal(diagonal: Self::ColumnRow) -> Self
Create a matrix from a non-uniform scale
pub fn transpose_self(&mut self)
Transpose this matrix in-place.
pub fn determinant(&self) -> Self::Scalar
Take the determinant of this matrix.
pub fn diagonal(&self) -> Self::ColumnRow
Return a vector containing the diagonal of this matrix.
pub fn invert(&self) -> Option<Self>
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).
pub fn is_diagonal(&self) -> bool
Test if this is a diagonal matrix. That is, every element outside of the diagonal is 0.
pub fn is_symmetric(&self) -> bool
Test if this matrix is symmetric. That is, it is equal to its transpose.
Provided methods
pub fn identity() -> Self
The identity matrix. Multiplying this matrix with another should have no effect.
Note that this is exactly the same as One::one
. The term 'identity
matrix' is more common though, so we provide this method as an
alternative.
pub fn trace(&self) -> Self::Scalar
Return the trace of this matrix. That is, the sum of the diagonal.
pub fn is_invertible(&self) -> bool
Test if this matrix is invertible.
pub 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.
Implementations on Foreign Types
impl<S> SquareMatrix for Matrix2<S> where
S: BaseFloat,
S: BaseFloat,
type ColumnRow = Vector2<S>
pub fn from_value(value: S) -> Matrix2<S>
pub fn from_diagonal(value: Vector2<S>) -> Matrix2<S>
pub fn transpose_self(&mut self)
pub fn determinant(&self) -> S
pub fn diagonal(&self) -> Vector2<S>
pub fn invert(&self) -> Option<Matrix2<S>>
pub fn is_diagonal(&self) -> bool
pub fn is_symmetric(&self) -> bool
impl<S> SquareMatrix for Matrix3<S> where
S: BaseFloat,
S: BaseFloat,
type ColumnRow = Vector3<S>
pub fn from_value(value: S) -> Matrix3<S>
pub fn from_diagonal(value: Vector3<S>) -> Matrix3<S>
pub fn transpose_self(&mut self)
pub fn determinant(&self) -> S
pub fn diagonal(&self) -> Vector3<S>
pub fn invert(&self) -> Option<Matrix3<S>>
pub fn is_diagonal(&self) -> bool
pub fn is_symmetric(&self) -> bool
impl<S> SquareMatrix for Matrix4<S> where
S: BaseFloat,
S: BaseFloat,