Struct ggez::graphics::na::Matrix [] [src]

#[repr(C)]
pub struct Matrix<N, R, C, S> where
    C: Dim,
    N: Scalar,
    R: Dim
{ pub data: S, // some fields omitted }

The most generic column-major matrix (and vector) type.

It combines four type parameters: - N: for the matrix components scalar type. - R: for the matrix number of rows. - C: for the matrix number of columns. - S: for the matrix data storage, i.e., the buffer that actually contains the matrix components.

The matrix dimensions parameters R and C can either be: - type-level unsigned integer contants (e.g. U1, U124) from the nalgebra:: root module. All numbers from 0 to 127 are defined that way. - type-level unsigned integer constants (e.g. U1024, U10000) from the typenum:: crate. Using those, you will not get error messages as nice as for numbers smaller than 128 defined on the nalgebra:: module. - the special value Dynamic from the nalgebra:: root module. This indicates that the specified dimension is not known at compile-time. Note that this will generally imply that the matrix data storage S performs a dynamic allocation and contains extra metadata for the matrix shape.

Note that mixing Dynamic with type-level unsigned integers is allowed. Actually, a dynamically-sized column vector should be represented as a Matrix<N, Dynamic, U1, S> (given some concrete types for N and a compatible data storage type S).

Fields

The data storage that contains all the matrix components and informations about its number of rows and column (if needed).

Methods

impl<N, R, C, S> Matrix<N, R, C, S> where
    C: Dim,
    N: Scalar + ClosedNeg,
    R: Dim,
    S: StorageMut<N, R, C>, 
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Negates self in-place.

impl<N, R1, C1, SA> Matrix<N, R1, C1, SA> where
    C1: Dim,
    N: Scalar + Zero + One + ClosedAdd<N> + ClosedMul<N>,
    R1: Dim,
    SA: Storage<N, R1, C1>, 
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Equivalent to self.transpose() * rhs.

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Equivalent to self.transpose() * rhs but stores the result into out to avoid allocations.

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Equivalent to self * rhs but stores the result into out to avoid allocations.

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The kronecker product of two matrices (aka. tensor product of the corresponding linear maps).

impl<N, R, C, S> Matrix<N, R, C, S> where
    C: Dim,
    N: Scalar + ClosedAdd<N>,
    R: Dim,
    S: Storage<N, R, C>, 
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Adds a scalar to self.

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Adds a scalar to self in-place.

impl<N, R, C, S> Matrix<N, R, C, S> where
    C: Dim,
    N: Scalar + PartialOrd<N> + Signed,
    R: Dim,
    S: Storage<N, R, C>, 
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Returns the absolute value of the coefficient with the largest absolute value.

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Returns the absolute value of the coefficient with the smallest absolute value.

impl<N, D, S> Matrix<N, D, U1, S> where
    D: Dim,
    N: Scalar + PartialOrd<N> + Signed,
    S: Storage<N, D, U1>, 
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Computes the index of the vector component with the largest absolute value.

impl<N, R, C, S> Matrix<N, R, C, S> where
    C: Dim,
    N: Scalar + PartialOrd<N> + Signed,
    R: Dim,
    S: Storage<N, R, C>, 
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Computes the index of the matrix component with the largest absolute value.

impl<N, R, C, S> Matrix<N, R, C, S> where
    C: Dim,
    N: Scalar + Zero + ClosedAdd<N> + ClosedMul<N>,
    R: Dim,
    S: Storage<N, R, C>, 
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The dot product between two matrices (seen as vectors).

Note that this is not the matrix multiplication as in, e.g., numpy. For matrix multiplication, use one of: .gemm, mul_to, .mul, *.

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The dot product between the transpose of self and rhs.

impl<N, D, S> Matrix<N, D, U1, S> where
    D: Dim,
    N: Scalar + Zero + ClosedAdd<N> + ClosedMul<N>,
    S: StorageMut<N, D, U1>, 
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Computes self = a * x + b * self.

If be is zero, self is never read from.

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Computes self = alpha * a * x + beta * self, where a is a matrix, x a vector, and alpha, beta two scalars.

If beta is zero, self is never read.

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Computes self = alpha * a * x + beta * self, where a is a symmetric matrix, x a vector, and alpha, beta two scalars.

If beta is zero, self is never read. If self is read, only its lower-triangular part (including the diagonal) is actually read.

impl<N, R1, C1, S> Matrix<N, R1, C1, S> where
    C1: Dim,
    N: Scalar + Zero + ClosedAdd<N> + ClosedMul<N>,
    R1: Dim,
    S: StorageMut<N, R1, C1>, 
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Computes self = alpha * x * y.transpose() + beta * self.

If beta is zero, self is never read.

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Computes self = alpha * a * b + beta * self, where a, b, self are matrices. alpha and beta are scalar.

If beta is zero, self is never read.

impl<N, R1, C1, S> Matrix<N, R1, C1, S> where
    C1: Dim,
    N: Scalar + Zero + ClosedAdd<N> + ClosedMul<N>,
    R1: Dim,
    S: StorageMut<N, R1, C1>, 
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Computes self = alpha * x * y.transpose() + beta * self, where self is a symmetric matrix.

If beta is zero, self is never read. The result is symmetric. Only the lower-triangular (including the diagonal) part of self is read/written.

impl<N, R, C, S> Matrix<N, R, C, S> where
    C: Dim,
    N: Scalar,
    R: Dim
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Creates a new matrix with the given data without statically checking that the matrix dimension matches the storage dimension.

impl<N, R, C, S> Matrix<N, R, C, S> where
    C: Dim,
    N: Scalar,
    R: Dim,
    S: Storage<N, R, C>, 
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Creates a new matrix with the given data.

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The total number of elements of this matrix.

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The shape of this matrix returned as the tuple (number of rows, number of columns).

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The number of rows of this matrix.

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The number of columns of this matrix.

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The strides (row stride, column stride) of this matrix.

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Iterates through this matrix coordinates.

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Computes the row and column coordinates of the i-th element of this matrix seen as a vector.

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Gets a reference to the element of this matrix at row irow and column icol without bound-checking.

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Tests whether self and rhs are equal up to a given epsilon.

See relative_eq from the ApproxEq trait for more details.

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Tests whether self and rhs are exactly equal.

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Moves this matrix into one that owns its data.

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Moves this matrix into one that owns its data. The actual type of the result depends on matrix storage combination rules for addition.

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Clones this matrix to one that owns its data.

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Clones this matrix into one that owns its data. The actual type of the result depends on matrix storage combination rules for addition.

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Returns a matrix containing the result of f applied to each of its entries.

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Returns a matrix containing the result of f applied to each entries of self and rhs.

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Transposes self and store the result into out.

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Transposes self.

impl<N, R, C, S> Matrix<N, R, C, S> where
    C: Dim,
    N: Scalar,
    R: Dim,
    S: StorageMut<N, R, C>, 
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Mutably iterates through this matrix coordinates.

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Gets a mutable reference to the i-th element of this matrix.

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Swaps two entries without bound-checking.

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Swaps two entries.

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Fills this matrix with the content of another one. Both must have the same shape.

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Fills this matrix with the content of the transpose another one.

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Replaces each component of self by the result of a closure f applied on it.

impl<N, D, S> Matrix<N, D, U1, S> where
    D: Dim,
    N: Scalar,
    S: Storage<N, D, U1>, 
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Gets a reference to the i-th element of this column vector without bound checking.

impl<N, D, S> Matrix<N, D, U1, S> where
    D: Dim,
    N: Scalar,
    S: StorageMut<N, D, U1>, 
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Gets a mutable reference to the i-th element of this column vector without bound checking.

impl<N, R, C, S> Matrix<N, R, C, S> where
    C: Dim,
    N: Scalar,
    R: Dim,
    S: ContiguousStorage<N, R, C>, 
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Extracts a slice containing the entire matrix entries ordered column-by-columns.

impl<N, R, C, S> Matrix<N, R, C, S> where
    C: Dim,
    N: Scalar,
    R: Dim,
    S: ContiguousStorageMut<N, R, C>, 
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Extracts a mutable slice containing the entire matrix entries ordered column-by-columns.

impl<N, D, S> Matrix<N, D, D, S> where
    D: Dim,
    N: Scalar,
    S: StorageMut<N, D, D>, 
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Transposes the square matrix self in-place.

impl<N, R, C, S> Matrix<Complex<N>, R, C, S> where
    C: Dim,
    N: Real,
    R: Dim,
    S: Storage<Complex<N>, R, C>, 
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Takes the conjugate and transposes self and store the result into out.

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The conjugate transposition of self.

impl<N, D, S> Matrix<Complex<N>, D, D, S> where
    D: Dim,
    N: Real,
    S: StorageMut<Complex<N>, D, D>, 
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Sets self to its conjugate transpose.

impl<N, D, S> Matrix<N, D, D, S> where
    D: Dim,
    N: Scalar,
    S: Storage<N, D, D>, 
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Creates a square matrix with its diagonal set to diag and all other entries set to 0.

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Computes a trace of a square matrix, i.e., the sum of its diagonal elements.

impl<N, D, S> Matrix<N, D, U1, S> where
    D: DimAdd<U1>,
    N: Scalar + Zero,
    S: Storage<N, D, U1>, 
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Computes the coordinates in projective space of this vector, i.e., appends a 0 to its coordinates.

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Constructs a vector from coordinates in projective space, i.e., removes a 0 at the end of self. Returns None if this last component is not zero.

impl<N, R, C, S> Matrix<N, R, C, S> where
    C: Dim,
    N: Scalar + Ring,
    R: Dim,
    S: Storage<N, R, C>, 
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The perpendicular product between two 2D column vectors, i.e. a.x * b.y - a.y * b.x.

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The 3D cross product between two vectors.

Panics if the shape is not 3D vector. In the future, this will be implemented only for dynamically-sized matrices and statically-sized 3D matrices.

impl<N, R, C, S> Matrix<N, R, C, S> where
    C: Dim,
    N: Real,
    R: Dim,
    S: Storage<N, R, C>, 
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The smallest angle between two vectors.

impl<N, R, C, S> Matrix<N, R, C, S> where
    C: Dim,
    N: Real,
    R: Dim,
    S: Storage<N, R, C>, 
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The squared L2 norm of this vector.

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The L2 norm of this matrix.

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Returns a normalized version of this matrix.

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Returns a normalized version of this matrix unless its norm as smaller or equal to eps.

impl<N, R, C, S> Matrix<N, R, C, S> where
    C: Dim,
    N: Real,
    R: Dim,
    S: StorageMut<N, R, C>, 
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Normalizes this matrix in-place and returns its norm.

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Normalizes this matrix in-place or does nothing if its norm is smaller or equal to eps.

If the normalization succeded, returns the old normal of this matrix.

impl<N, R, C> Matrix<N, R, C, <DefaultAllocator as Allocator<N, R, C>>::Buffer> where
    C: Dim,
    N: Scalar,
    R: Dim,
    DefaultAllocator: Allocator<N, R, C>, 
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Creates a new uninitialized matrix. If the matrix has a compile-time dimension, this panics if nrows != R::to_usize() or ncols != C::to_usize().

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Creates a matrix with all its elements set to elem.

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Creates a matrix with all its elements set to 0.

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Creates a matrix with all its elements filled by an iterator.

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Creates a matrix with its elements filled with the components provided by a slice in row-major order.

The order of elements in the slice must follow the usual mathematic writing, i.e., row-by-row.

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Creates a matrix with its elements filled with the components provided by a slice. The components must have the same layout as the matrix data storage (i.e. row-major or column-major).

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Creates a matrix filled with the results of a function applied to each of its component coordinates.

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Creates a new indentity matrix.

If the matrix is not square, the largest square submatrix starting at index (0, 0) is set to the identity matrix. All other entries are set to zero.

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Creates a new matrix with its diagonal filled with copies of elt.

If the matrix is not square, the largest square submatrix starting at index (0, 0) is set to the identity matrix. All other entries are set to zero.

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Creates a new matrix that may be rectangular. The first elts.len() diagonal elements are filled with the content of elts. Others are set to 0.

Panics if elts.len() is larger than the minimum among nrows and ncols.

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Builds a new matrix from its rows.

Panics if not enough rows are provided (for statically-sized matrices), or if all rows do not have the same dimensions.

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Builds a new matrix from its columns.

Panics if not enough columns are provided (for statically-sized matrices), or if all columns do not have the same dimensions.

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Creates a matrix filled with random values.

impl<N, D> Matrix<N, D, D, <DefaultAllocator as Allocator<N, D, D>>::Buffer> where
    D: Dim,
    N: Scalar,
    DefaultAllocator: Allocator<N, D, D>, 
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Creates a square matrix with its diagonal set to diag and all other entries set to 0.

impl<N, R> Matrix<N, R, U1, <DefaultAllocator as Allocator<N, R, U1>>::Buffer> where
    N: Scalar + Zero + One,
    R: DimName,
    DefaultAllocator: Allocator<N, R, U1>, 
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The column vector with a 1 as its first component, and zero elsewhere.

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The column vector with a 1 as its second component, and zero elsewhere.

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The column vector with a 1 as its third component, and zero elsewhere.

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The column vector with a 1 as its fourth component, and zero elsewhere.

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The column vector with a 1 as its fifth component, and zero elsewhere.

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The column vector with a 1 as its sixth component, and zero elsewhere.

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The unit column vector with a 1 as its first component, and zero elsewhere.

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The unit column vector with a 1 as its second component, and zero elsewhere.

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The unit column vector with a 1 as its third component, and zero elsewhere.

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The unit column vector with a 1 as its fourth component, and zero elsewhere.

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The unit column vector with a 1 as its fifth component, and zero elsewhere.

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The unit column vector with a 1 as its sixth component, and zero elsewhere.

impl<N, R, C, S> Matrix<N, R, C, S> where
    C: Dim,
    N: Scalar,
    R: Dim,
    S: Storage<N, R, C>, 
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Indicates if this is a square matrix.

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Indicates if this is a square matrix.

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Indicated if this is the identity matrix within a relative error of eps.

If the matrix is diagonal, this checks that diagonal elements (i.e. at coordinates (i, i) for i from 0 to min(R, C)) are equal one; and that all other elements are zero.

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Checks that Mᵀ × M = Id.

In this definition Id is approximately equal to the identity matrix with a relative error equal to eps.

impl<N, D, S> Matrix<N, D, D, S> where
    D: Dim,
    N: Real,
    S: Storage<N, D, D>,
    DefaultAllocator: Allocator<N, D, D>, 
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Checks that this matrix is orthogonal and has a determinant equal to 1.

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Returns true if this matrix is invertible.

impl<N, R, C, S> Matrix<N, R, C, S> where
    C: Dim,
    N: Scalar,
    R: Dim,
    S: Storage<N, R, C>, 
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Slices a sub-matrix containing the rows indexed by the range rows and the columns indexed by the range cols.

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Slice containing all the rows indexed by the range rows.

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Slice containing all the columns indexed by the range rows.

impl<N, R, C, S> Matrix<N, R, C, S> where
    C: Dim,
    N: Scalar,
    R: Dim,
    S: StorageMut<N, R, C>, 
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Slices a mutable sub-matrix containing the rows indexed by the range rows and the columns indexed by the range cols.

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Slice containing all the rows indexed by the range rows.

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Slice containing all the columns indexed by the range cols.

impl<N, D> Matrix<N, D, D, <DefaultAllocator as Allocator<N, D, D>>::Buffer> where
    D: DimName,
    N: Scalar + Field,
    DefaultAllocator: Allocator<N, D, D>, 
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Creates a new homogeneous matrix that applies the same scaling factor on each dimension.

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Creates a new homogeneous matrix that applies a distinct scaling factor for each dimension.

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Creates a new homogeneous matrix that applies a pure translation.

impl<N> Matrix<N, U3, U3, <DefaultAllocator as Allocator<N, U3, U3>>::Buffer> where
    N: Real
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Builds a 2 dimensional homogeneous rotation matrix from an angle in radian.

impl<N> Matrix<N, U4, U4, <DefaultAllocator as Allocator<N, U4, U4>>::Buffer> where
    N: Real
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Builds a 3D homogeneous rotation matrix from an axis and an angle (multiplied together).

Returns the identity matrix if the given argument is zero.

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Builds a 3D homogeneous rotation matrix from an axis and an angle (multiplied together).

Returns the identity matrix if the given argument is zero.

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Builds a 3D homogeneous rotation matrix from an axis and an angle (multiplied together).

Returns the identity matrix if the given argument is zero. This is identical to Self::new_rotation.

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Creates a new rotation from Euler angles.

The primitive rotations are applied in order: 1 roll − 2 pitch − 3 yaw.

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Builds a 3D homogeneous rotation matrix from an axis and a rotation angle.

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Creates a new homogeneous matrix for an orthographic projection.

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Creates a new homogeneous matrix for a perspective projection.

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Creates an isometry that corresponds to the local frame of an observer standing at the point eye and looking toward target.

It maps the view direction target - eye to the positive z axis and the origin to the eye.

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Builds a right-handed look-at view matrix.

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Builds a left-handed look-at view matrix.

impl<N, D, S> Matrix<N, D, D, S> where
    D: DimName,
    N: Scalar + Field,
    S: Storage<N, D, D>, 
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Computes the transformation equal to self followed by an uniform scaling factor.

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Computes the transformation equal to an uniform scaling factor followed by self.

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Computes the transformation equal to self followed by a non-uniform scaling factor.

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Computes the transformation equal to a non-uniform scaling factor followed by self.

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Computes the transformation equal to self followed by a translation.

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Computes the transformation equal to a translation followed by self.

impl<N, D, S> Matrix<N, D, D, S> where
    D: DimName,
    N: Scalar + Field,
    S: StorageMut<N, D, D>, 
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Computes in-place the transformation equal to self followed by an uniform scaling factor.

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Computes in-place the transformation equal to an uniform scaling factor followed by self.

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Computes in-place the transformation equal to self followed by a non-uniform scaling factor.

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Computes in-place the transformation equal to a non-uniform scaling factor followed by self.

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Computes the transformation equal to self followed by a translation.

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Computes the transformation equal to a translation followed by self.

impl<N, R, C, S> Matrix<N, R, C, S> where
    C: Dim,
    N: Scalar,
    R: Dim,
    S: Storage<N, R, C>, 
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Computes the componentwise absolute value.

impl<N, R, C, S> Matrix<N, R, C, S> where
    C: Dim,
    N: Scalar + Zero,
    R: Dim,
    S: Storage<N, R, C>, 
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Extracts the upper triangular part of this matrix (including the diagonal).

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Extracts the upper triangular part of this matrix (including the diagonal).

impl<N, R, C, S> Matrix<N, R, C, S> where
    C: Dim,
    N: Scalar,
    R: Dim,
    S: StorageMut<N, R, C>, 
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Sets all the elements of this matrix to val.

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Fills self with the identity matrix.

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Sets all the diagonal elements of this matrix to val.

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Sets all the elements of the selected row to val.

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Sets all the elements of the selected column to val.

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Fills the diagonal of this matrix with the content of the given vector.

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Fills the selected row of this matrix with the content of the given vector.

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Fills the selected column of this matrix with the content of the given vector.

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Sets all the elements of the lower-triangular part of this matrix to val.

The parameter shift allows some subdiagonals to be left untouched: * If shift = 0 then the diagonal is overwritten as well. * If shift = 1 then the diagonal is left untouched. * If shift > 1, then the diagonal and the first shift - 1 subdiagonals are left untouched.

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Sets all the elements of the lower-triangular part of this matrix to val.

The parameter shift allows some superdiagonals to be left untouched: * If shift = 0 then the diagonal is overwritten as well. * If shift = 1 then the diagonal is left untouched. * If shift > 1, then the diagonal and the first shift - 1 superdiagonals are left untouched.

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Swaps two rows in-place.

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Swaps two columns in-place.

impl<N, D, S> Matrix<N, D, D, S> where
    D: Dim,
    N: Scalar,
    S: StorageMut<N, D, D>, 
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Copies the upper-triangle of this matrix to its lower-triangular part.

This makes the matrix symmetric. Panics if the matrix is not square.

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Copies the upper-triangle of this matrix to its upper-triangular part.

This makes the matrix symmetric. Panics if the matrix is not square.

impl<N, R, C, S> Matrix<N, R, C, S> where
    C: Dim,
    N: Scalar,
    R: Dim,
    S: Storage<N, R, C>, 
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Removes the i-th column from this matrix.

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Removes D::dim() consecutive columns from this matrix, starting with the i-th (included).

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Removes n consecutive columns from this matrix, starting with the i-th (included).

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Removes nremove.value() columns from this matrix, starting with the i-th (included).

This is the generic implementation of .remove_columns(...) and .remove_fixed_columns(...) which have nicer API interfaces.

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Removes the i-th row from this matrix.

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Removes D::dim() consecutive rows from this matrix, starting with the i-th (included).

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Removes n consecutive rows from this matrix, starting with the i-th (included).

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Removes nremove.value() rows from this matrix, starting with the i-th (included).

This is the generic implementation of .remove_rows(...) and .remove_fixed_rows(...) which have nicer API interfaces.

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Inserts a column filled with val at the i-th position.

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Inserts D::dim() columns filled with val starting at the i-th position.

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Inserts n columns filled with val starting at the i-th position.

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Inserts ninsert.value() columns starting at the i-th place of this matrix.

The added column values are not initialized.

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Inserts a row filled with val at the i-th position.

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Inserts D::dim() rows filled with val starting at the i-th position.

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Inserts n rows filled with val starting at the i-th position.

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Inserts ninsert.value() rows at the i-th place of this matrix.

The added rows values are not initialized. This is the generic implementation of .insert_rows(...) and .insert_fixed_rows(...) which have nicer API interfaces.

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Resizes this matrix so that it contains new_nrows rows and new_ncols columns.

The values are copied such that self[(i, j)] == result[(i, j)]. If the result has more rows and/or columns than self, then the extra rows or columns are filled with val.

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Resizes this matrix so that it contains R2::value() rows and C2::value() columns.

The values are copied such that self[(i, j)] == result[(i, j)]. If the result has more rows and/or columns than self, then the extra rows or columns are filled with val.

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Resizes self such that it has dimensions new_nrows × now_ncols.

The values are copied such that self[(i, j)] == result[(i, j)]. If the result has more rows and/or columns than self, then the extra rows or columns are filled with val.

impl<N, D, S> Matrix<N, D, D, S> where
    D: Dim,
    N: Real,
    S: Storage<N, D, D>, 
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Computes the solution of the linear system self . x = b where x is the unknown and only the lower-triangular part of self (including the diagonal) is concidered not-zero.

[src]

Computes the solution of the linear system self . x = b where x is the unknown and only the upper-triangular part of self (including the diagonal) is concidered not-zero.

[src]

Solves the linear system self . x = b where x is the unknown and only the lower-triangular part of self (including the diagonal) is concidered not-zero.

[src]

Solves the linear system self . x = b where x is the unknown and only the lower-triangular part of self is concidered not-zero. The diagonal is never read as it is assumed to be equal to diag. Returns false and does not modify its inputs if diag is zero.

[src]

Solves the linear system self . x = b where x is the unknown and only the upper-triangular part of self (including the diagonal) is concidered not-zero.

[src]

Computes the solution of the linear system self.transpose() . x = b where x is the unknown and only the lower-triangular part of self (including the diagonal) is concidered not-zero.

[src]

Computes the solution of the linear system self.transpose() . x = b where x is the unknown and only the upper-triangular part of self (including the diagonal) is concidered not-zero.

[src]

Solves the linear system self.transpose() . x = b where x is the unknown and only the lower-triangular part of self (including the diagonal) is concidered not-zero.

[src]

Solves the linear system self.transpose() . x = b where x is the unknown and only the upper-triangular part of self (including the diagonal) is concidered not-zero.

impl<N, D, S> Matrix<N, D, D, S> where
    D: DimMin<D, Output = D>,
    N: Real,
    S: Storage<N, D, D>, 
[src]

[src]

Computes the matrix determinant.

If the matrix has a dimension larger than 3, an LU decomposition is used.

impl<N, D, S> Matrix<N, D, D, S> where
    D: Dim,
    N: Real,
    S: Storage<N, D, D>, 
[src]

[src]

Attempts to invert this matrix.

impl<N, D, S> Matrix<N, D, D, S> where
    D: Dim,
    N: Real,
    S: StorageMut<N, D, D>, 
[src]

[src]

Attempts to invert this matrix in-place. Returns false and leaves self untouched if inversion fails.

impl<N, R, C, S> Matrix<N, R, C, S> where
    C: Dim,
    N: Real,
    R: DimMin<C>,
    S: Storage<N, R, C>,
    DefaultAllocator: Allocator<N, R, C>,
    DefaultAllocator: Allocator<N, R, U1>,
    DefaultAllocator: Allocator<N, <R as DimMin<C>>::Output, U1>, 
[src]

[src]

Computes the QR decomposition of this matrix.

impl<N, D, S> Matrix<N, D, D, S> where
    D: DimSub<U1>,
    N: Real,
    S: Storage<N, D, D>,
    DefaultAllocator: Allocator<N, D, D>,
    DefaultAllocator: Allocator<N, D, U1>,
    DefaultAllocator: Allocator<N, <D as DimSub<U1>>::Output, U1>, 
[src]

[src]

Computes the Hessenberg decomposition of this matrix using householder reflections.

impl<N, R, C, S> Matrix<N, R, C, S> where
    C: Dim,
    N: Real,
    R: DimMin<C>,
    S: Storage<N, R, C>,
    <R as DimMin<C>>::Output: DimSub<U1>,
    DefaultAllocator: Allocator<N, R, C>,
    DefaultAllocator: Allocator<N, C, U1>,
    DefaultAllocator: Allocator<N, R, U1>,
    DefaultAllocator: Allocator<N, <R as DimMin<C>>::Output, U1>,
    DefaultAllocator: Allocator<N, <<R as DimMin<C>>::Output as DimSub<U1>>::Output, U1>, 
[src]

[src]

Computes the bidiagonalization using householder reflections.

impl<N, D, S> Matrix<N, D, D, S> where
    D: DimSub<U1>,
    N: Real,
    S: Storage<N, D, D>,
    DefaultAllocator: Allocator<N, D, D>,
    DefaultAllocator: Allocator<N, <D as DimSub<U1>>::Output, U1>, 
[src]

[src]

Computes the tridiagonalization of this symmetric matrix.

Only the lower-triangular part (including the diagonal) of m is read.

impl<N, D, S> Matrix<N, D, D, S> where
    D: DimSub<Dynamic>,
    N: Real,
    S: Storage<N, D, D>,
    DefaultAllocator: Allocator<N, D, D>, 
[src]

[src]

Attempts to compute the Cholesky decomposition of this matrix.

Returns None if the input matrix is not definite-positive. The intput matrix is assumed to be symmetric and only the lower-triangular part is read.

impl<N, R, C, S> Matrix<N, R, C, S> where
    C: Dim,
    N: Real,
    R: DimMin<C>,
    S: Storage<N, R, C>,
    DefaultAllocator: Allocator<N, R, C>,
    DefaultAllocator: Allocator<(usize, usize), <R as DimMin<C>>::Output, U1>, 
[src]

[src]

Computes the LU decomposition with partial (row) pivoting of matrix.

impl<N, R, C, S> Matrix<N, R, C, S> where
    C: Dim,
    N: Real,
    R: DimMin<C>,
    S: Storage<N, R, C>,
    DefaultAllocator: Allocator<N, R, C>,
    DefaultAllocator: Allocator<(usize, usize), <R as DimMin<C>>::Output, U1>, 
[src]

[src]

Computes the LU decomposition with full pivoting of matrix.

This effectively computes P, L, U, Q such that P * matrix * Q = LU.

impl<N, D, S> Matrix<N, D, D, S> where
    D: Dim + DimSub<U1>,
    N: Real,
    S: Storage<N, D, D>,
    ShapeConstraint: DimEq<Dynamic, <D as DimSub<U1>>::Output>,
    DefaultAllocator: Allocator<N, D, <D as DimSub<U1>>::Output>,
    DefaultAllocator: Allocator<N, <D as DimSub<U1>>::Output, U1>,
    DefaultAllocator: Allocator<N, D, D>,
    DefaultAllocator: Allocator<N, D, U1>, 
[src]

[src]

Computes the Schur decomposition of a square matrix.

[src]

Attempts to compute the Schur decomposition of a square matrix.

If only eigenvalues are needed, it is more efficient to call the matrix method .eigenvalues() instead.

Arguments

  • eps − tolerence used to determine when a value converged to 0.
  • max_niter − maximum total number of iterations performed by the algorithm. If this number of iteration is exceeded, None is returned. If niter == 0, then the algorithm continues indefinitely until convergence.

[src]

Computes the eigenvalues of this matrix.

[src]

Computes the eigenvalues of this matrix.

impl<N, R, C, S> Matrix<N, R, C, S> where
    C: Dim,
    N: Real,
    R: DimMin<C>,
    S: Storage<N, R, C>,
    <R as DimMin<C>>::Output: DimSub<U1>,
    DefaultAllocator: Allocator<N, R, C>,
    DefaultAllocator: Allocator<N, C, U1>,
    DefaultAllocator: Allocator<N, R, U1>,
    DefaultAllocator: Allocator<N, <<R as DimMin<C>>::Output as DimSub<U1>>::Output, U1>,
    DefaultAllocator: Allocator<N, <R as DimMin<C>>::Output, C>,
    DefaultAllocator: Allocator<N, R, <R as DimMin<C>>::Output>,
    DefaultAllocator: Allocator<N, <R as DimMin<C>>::Output, U1>, 
[src]

[src]

Computes the Singular Value Decomposition using implicit shift.

[src]

Attempts to compute the Singular Value Decomposition of matrix using implicit shift.

Arguments

  • compute_u − set this to true to enable the computation of left-singular vectors.
  • compute_v − set this to true to enable the computation of left-singular vectors.
  • eps − tolerence used to determine when a value converged to 0.
  • max_niter − maximum total number of iterations performed by the algorithm. If this number of iteration is exceeded, None is returned. If niter == 0, then the algorithm continues indefinitely until convergence.

[src]

Computes the singular values of this matrix.

[src]

Computes the rank of this matrix.

All singular values bellow eps are considered equal to 0.

[src]

Computes the pseudo-inverse of this matrix.

All singular values bellow eps are considered equal to 0.

impl<N, D, S> Matrix<N, D, D, S> where
    D: DimSub<U1>,
    N: Real,
    S: Storage<N, D, D>,
    DefaultAllocator: Allocator<N, D, D>,
    DefaultAllocator: Allocator<N, D, U1>,
    DefaultAllocator: Allocator<N, <D as DimSub<U1>>::Output, U1>, 
[src]

[src]

Computes the eigendecomposition of this symmetric matrix.

Only the lower-triangular part (including the diagonal) of m is read.

[src]

Computes the eigendecomposition of the given symmetric matrix with user-specified convergence parameters.

Only the lower-triangular part (including the diagonal) of m is read.

Arguments

  • eps − tolerance used to determine when a value converged to 0.
  • max_niter − maximum total number of iterations performed by the algorithm. If this number of iteration is exceeded, None is returned. If niter == 0, then the algorithm continues indefinitely until convergence.

[src]

Computes the eigenvalues of this symmetric matrix.

Only the lower-triangular part of the matrix is read.

impl<N, R1, C1, SA> Matrix<N, R1, C1, SA> where
    C1: Dim,
    N: Scalar + ClosedAdd<N>,
    R1: Dim,
    SA: Storage<N, R1, C1>, 
[src]

[src]

Equivalent to self + rhs but stores the result into out to avoid allocations.

impl<N, R1, C1, SA> Matrix<N, R1, C1, SA> where
    C1: Dim,
    N: Scalar + ClosedSub<N>,
    R1: Dim,
    SA: Storage<N, R1, C1>, 
[src]

[src]

Equivalent to self + rhs but stores the result into out to avoid allocations.

impl<N, R, C> Matrix<N, R, C, <DefaultAllocator as Allocator<N, R, C>>::Buffer> where
    C: DimName,
    N: Scalar,
    R: DimName,
    DefaultAllocator: Allocator<N, R, C>, 
[src]

[src]

Creates a new uninitialized matrix.

[src]

Creates a matrix with all its elements set to elem.

[src]

Creates a matrix with all its elements set to 0.

[src]

Creates a matrix with all its elements filled by an iterator.

[src]

Creates a matrix with its elements filled with the components provided by a slice in row-major order.

The order of elements in the slice must follow the usual mathematic writing, i.e., row-by-row.

[src]

Creates a matrix with its elements filled with the components provided by a slice in column-major order.

[src]

Creates a matrix filled with the results of a function applied to each of its component coordinates.

[src]

Creates an identity matrix. If the matrix is not square, the largest square submatrix (starting at the first row and column) is set to the identity while all other entries are set to zero.

[src]

Creates a matrix filled with its diagonal filled with elt and all other components set to zero.

[src]

Creates a new matrix that may be rectangular. The first elts.len() diagonal elements are filled with the content of elts. Others are set to 0.

Panics if elts.len() is larger than the minimum among nrows and ncols.

impl<N, R, C> Matrix<N, R, C, <DefaultAllocator as Allocator<N, R, C>>::Buffer> where
    C: DimName,
    N: Scalar + Rand,
    R: DimName,
    DefaultAllocator: Allocator<N, R, C>, 
[src]

[src]

Creates a matrix filled with random values.

impl<N, R> Matrix<N, R, Dynamic, <DefaultAllocator as Allocator<N, R, Dynamic>>::Buffer> where
    N: Scalar,
    R: DimName,
    DefaultAllocator: Allocator<N, R, Dynamic>, 
[src]

[src]

Creates a new uninitialized matrix.

[src]

Creates a matrix with all its elements set to elem.

[src]

Creates a matrix with all its elements set to 0.

[src]

Creates a matrix with all its elements filled by an iterator.

[src]

Creates a matrix with its elements filled with the components provided by a slice in row-major order.

The order of elements in the slice must follow the usual mathematic writing, i.e., row-by-row.

[src]

Creates a matrix with its elements filled with the components provided by a slice in column-major order.

[src]

Creates a matrix filled with the results of a function applied to each of its component coordinates.

[src]

Creates an identity matrix. If the matrix is not square, the largest square submatrix (starting at the first row and column) is set to the identity while all other entries are set to zero.

[src]

Creates a matrix filled with its diagonal filled with elt and all other components set to zero.

[src]

Creates a new matrix that may be rectangular. The first elts.len() diagonal elements are filled with the content of elts. Others are set to 0.

Panics if elts.len() is larger than the minimum among nrows and ncols.

impl<N, R> Matrix<N, R, Dynamic, <DefaultAllocator as Allocator<N, R, Dynamic>>::Buffer> where
    N: Scalar + Rand,
    R: DimName,
    DefaultAllocator: Allocator<N, R, Dynamic>, 
[src]

[src]

Creates a matrix filled with random values.

impl<N, C> Matrix<N, Dynamic, C, <DefaultAllocator as Allocator<N, Dynamic, C>>::Buffer> where
    C: DimName,
    N: Scalar,
    DefaultAllocator: Allocator<N, Dynamic, C>, 
[src]

[src]

Creates a new uninitialized matrix.

[src]

Creates a matrix with all its elements set to elem.

[src]

Creates a matrix with all its elements set to 0.

[src]

Creates a matrix with all its elements filled by an iterator.

[src]

Creates a matrix with its elements filled with the components provided by a slice in row-major order.

The order of elements in the slice must follow the usual mathematic writing, i.e., row-by-row.

[src]

Creates a matrix with its elements filled with the components provided by a slice in column-major order.

[src]

Creates a matrix filled with the results of a function applied to each of its component coordinates.

[src]

Creates an identity matrix. If the matrix is not square, the largest square submatrix (starting at the first row and column) is set to the identity while all other entries are set to zero.

[src]

Creates a matrix filled with its diagonal filled with elt and all other components set to zero.

[src]

Creates a new matrix that may be rectangular. The first elts.len() diagonal elements are filled with the content of elts. Others are set to 0.

Panics if elts.len() is larger than the minimum among nrows and ncols.

impl<N, C> Matrix<N, Dynamic, C, <DefaultAllocator as Allocator<N, Dynamic, C>>::Buffer> where
    C: DimName,
    N: Scalar + Rand,
    DefaultAllocator: Allocator<N, Dynamic, C>, 
[src]

[src]

Creates a matrix filled with random values.

impl<N> Matrix<N, Dynamic, Dynamic, <DefaultAllocator as Allocator<N, Dynamic, Dynamic>>::Buffer> where
    N: Scalar,
    DefaultAllocator: Allocator<N, Dynamic, Dynamic>, 
[src]

[src]

Creates a new uninitialized matrix.

[src]

Creates a matrix with all its elements set to elem.

[src]

Creates a matrix with all its elements set to 0.

[src]

Creates a matrix with all its elements filled by an iterator.

[src]

Creates a matrix with its elements filled with the components provided by a slice in row-major order.

The order of elements in the slice must follow the usual mathematic writing, i.e., row-by-row.

[src]

Creates a matrix with its elements filled with the components provided by a slice in column-major order.

[src]

Creates a matrix filled with the results of a function applied to each of its component coordinates.

[src]

Creates an identity matrix. If the matrix is not square, the largest square submatrix (starting at the first row and column) is set to the identity while all other entries are set to zero.

[src]

Creates a matrix filled with its diagonal filled with elt and all other components set to zero.

[src]

Creates a new matrix that may be rectangular. The first elts.len() diagonal elements are filled with the content of elts. Others are set to 0.

Panics if elts.len() is larger than the minimum among nrows and ncols.

impl<N> Matrix<N, Dynamic, Dynamic, <DefaultAllocator as Allocator<N, Dynamic, Dynamic>>::Buffer> where
    N: Scalar + Rand,
    DefaultAllocator: Allocator<N, Dynamic, Dynamic>, 
[src]

[src]

Creates a matrix filled with random values.

impl<N> Matrix<N, U2, U2, <DefaultAllocator as Allocator<N, U2, U2>>::Buffer> where
    N: Scalar,
    DefaultAllocator: Allocator<N, U2, U2>, 
[src]

[src]

Initializes this matrix from its components.

impl<N> Matrix<N, U3, U3, <DefaultAllocator as Allocator<N, U3, U3>>::Buffer> where
    N: Scalar,
    DefaultAllocator: Allocator<N, U3, U3>, 
[src]

[src]

Initializes this matrix from its components.

impl<N> Matrix<N, U4, U4, <DefaultAllocator as Allocator<N, U4, U4>>::Buffer> where
    N: Scalar,
    DefaultAllocator: Allocator<N, U4, U4>, 
[src]

[src]

Initializes this matrix from its components.

impl<N> Matrix<N, U5, U5, <DefaultAllocator as Allocator<N, U5, U5>>::Buffer> where
    N: Scalar,
    DefaultAllocator: Allocator<N, U5, U5>, 
[src]

[src]

Initializes this matrix from its components.

impl<N> Matrix<N, U6, U6, <DefaultAllocator as Allocator<N, U6, U6>>::Buffer> where
    N: Scalar,
    DefaultAllocator: Allocator<N, U6, U6>, 
[src]

[src]

Initializes this matrix from its components.

impl<N> Matrix<N, U2, U3, <DefaultAllocator as Allocator<N, U2, U3>>::Buffer> where
    N: Scalar,
    DefaultAllocator: Allocator<N, U2, U3>, 
[src]

[src]

Initializes this matrix from its components.

impl<N> Matrix<N, U2, U4, <DefaultAllocator as Allocator<N, U2, U4>>::Buffer> where
    N: Scalar,
    DefaultAllocator: Allocator<N, U2, U4>, 
[src]

[src]

Initializes this matrix from its components.

impl<N> Matrix<N, U2, U5, <DefaultAllocator as Allocator<N, U2, U5>>::Buffer> where
    N: Scalar,
    DefaultAllocator: Allocator<N, U2, U5>, 
[src]

[src]

Initializes this matrix from its components.

impl<N> Matrix<N, U2, U6, <DefaultAllocator as Allocator<N, U2, U6>>::Buffer> where
    N: Scalar,
    DefaultAllocator: Allocator<N, U2, U6>, 
[src]

[src]

Initializes this matrix from its components.

impl<N> Matrix<N, U3, U2, <DefaultAllocator as Allocator<N, U3, U2>>::Buffer> where
    N: Scalar,
    DefaultAllocator: Allocator<N, U3, U2>, 
[src]

[src]

Initializes this matrix from its components.

impl<N> Matrix<N, U3, U4, <DefaultAllocator as Allocator<N, U3, U4>>::Buffer> where
    N: Scalar,
    DefaultAllocator: Allocator<N, U3, U4>, 
[src]

[src]

Initializes this matrix from its components.

impl<N> Matrix<N, U3, U5, <DefaultAllocator as Allocator<N, U3, U5>>::Buffer> where
    N: Scalar,
    DefaultAllocator: Allocator<N, U3, U5>, 
[src]

[src]

Initializes this matrix from its components.

impl<N> Matrix<N, U3, U6, <DefaultAllocator as Allocator<N, U3, U6>>::Buffer> where
    N: Scalar,
    DefaultAllocator: Allocator<N, U3, U6>, 
[src]

[src]

Initializes this matrix from its components.

impl<N> Matrix<N, U4, U2, <DefaultAllocator as Allocator<N, U4, U2>>::Buffer> where
    N: Scalar,
    DefaultAllocator: Allocator<N, U4, U2>, 
[src]

[src]

Initializes this matrix from its components.

impl<N> Matrix<N, U4, U3, <DefaultAllocator as Allocator<N, U4, U3>>::Buffer> where
    N: Scalar,
    DefaultAllocator: Allocator<N, U4, U3>, 
[src]

[src]

Initializes this matrix from its components.

impl<N> Matrix<N, U4, U5, <DefaultAllocator as Allocator<N, U4, U5>>::Buffer> where
    N: Scalar,
    DefaultAllocator: Allocator<N, U4, U5>, 
[src]

[src]

Initializes this matrix from its components.

impl<N> Matrix<N, U4, U6, <DefaultAllocator as Allocator<N, U4, U6>>::Buffer> where
    N: Scalar,
    DefaultAllocator: Allocator<N, U4, U6>, 
[src]

[src]

Initializes this matrix from its components.

impl<N> Matrix<N, U5, U2, <DefaultAllocator as Allocator<N, U5, U2>>::Buffer> where
    N: Scalar,
    DefaultAllocator: Allocator<N, U5, U2>, 
[src]

[src]

Initializes this matrix from its components.

impl<N> Matrix<N, U5, U3, <DefaultAllocator as Allocator<N, U5, U3>>::Buffer> where
    N: Scalar,
    DefaultAllocator: Allocator<N, U5, U3>, 
[src]

[src]

Initializes this matrix from its components.

impl<N> Matrix<N, U5, U4, <DefaultAllocator as Allocator<N, U5, U4>>::Buffer> where
    N: Scalar,
    DefaultAllocator: Allocator<N, U5, U4>, 
[src]

[src]

Initializes this matrix from its components.

impl<N> Matrix<N, U5, U6, <DefaultAllocator as Allocator<N, U5, U6>>::Buffer> where
    N: Scalar,
    DefaultAllocator: Allocator<N, U5, U6>, 
[src]

[src]

Initializes this matrix from its components.

impl<N> Matrix<N, U6, U2, <DefaultAllocator as Allocator<N, U6, U2>>::Buffer> where
    N: Scalar,
    DefaultAllocator: Allocator<N, U6, U2>, 
[src]

[src]

Initializes this matrix from its components.

impl<N> Matrix<N, U6, U3, <DefaultAllocator as Allocator<N, U6, U3>>::Buffer> where
    N: Scalar,
    DefaultAllocator: Allocator<N, U6, U3>, 
[src]

[src]

Initializes this matrix from its components.

impl<N> Matrix<N, U6, U4, <DefaultAllocator as Allocator<N, U6, U4>>::Buffer> where
    N: Scalar,
    DefaultAllocator: Allocator<N, U6, U4>, 
[src]

[src]

Initializes this matrix from its components.

impl<N> Matrix<N, U6, U5, <DefaultAllocator as Allocator<N, U6, U5>>::Buffer> where
    N: Scalar,
    DefaultAllocator: Allocator<N, U6, U5>, 
[src]

[src]

Initializes this matrix from its components.

impl<N> Matrix<N, U1, U1, <DefaultAllocator as Allocator<N, U1, U1>>::Buffer> where
    N: Scalar,
    DefaultAllocator: Allocator<N, U1, U1>, 
[src]

[src]

Initializes this matrix from its components.

impl<N> Matrix<N, U1, U2, <DefaultAllocator as Allocator<N, U1, U2>>::Buffer> where
    N: Scalar,
    DefaultAllocator: Allocator<N, U1, U2>, 
[src]

[src]

Initializes this matrix from its components.

impl<N> Matrix<N, U1, U3, <DefaultAllocator as Allocator<N, U1, U3>>::Buffer> where
    N: Scalar,
    DefaultAllocator: Allocator<N, U1, U3>, 
[src]

[src]

Initializes this matrix from its components.

impl<N> Matrix<N, U1, U4, <DefaultAllocator as Allocator<N, U1, U4>>::Buffer> where
    N: Scalar,
    DefaultAllocator: Allocator<N, U1, U4>, 
[src]

[src]

Initializes this matrix from its components.

impl<N> Matrix<N, U1, U5, <DefaultAllocator as Allocator<N, U1, U5>>::Buffer> where
    N: Scalar,
    DefaultAllocator: Allocator<N, U1, U5>, 
[src]

[src]

Initializes this matrix from its components.

impl<N> Matrix<N, U1, U6, <DefaultAllocator as Allocator<N, U1, U6>>::Buffer> where
    N: Scalar,
    DefaultAllocator: Allocator<N, U1, U6>, 
[src]

[src]

Initializes this matrix from its components.

impl<N> Matrix<N, U2, U1, <DefaultAllocator as Allocator<N, U2, U1>>::Buffer> where
    N: Scalar,
    DefaultAllocator: Allocator<N, U2, U1>, 
[src]

[src]

Initializes this matrix from its components.

impl<N> Matrix<N, U3, U1, <DefaultAllocator as Allocator<N, U3, U1>>::Buffer> where
    N: Scalar,
    DefaultAllocator: Allocator<N, U3, U1>, 
[src]

[src]

Initializes this matrix from its components.

impl<N> Matrix<N, U4, U1, <DefaultAllocator as Allocator<N, U4, U1>>::Buffer> where
    N: Scalar,
    DefaultAllocator: Allocator<N, U4, U1>, 
[src]

[src]

Initializes this matrix from its components.

impl<N> Matrix<N, U5, U1, <DefaultAllocator as Allocator<N, U5, U1>>::Buffer> where
    N: Scalar,
    DefaultAllocator: Allocator<N, U5, U1>, 
[src]

[src]

Initializes this matrix from its components.

impl<N> Matrix<N, U6, U1, <DefaultAllocator as Allocator<N, U6, U1>>::Buffer> where
    N: Scalar,
    DefaultAllocator: Allocator<N, U6, U1>, 
[src]

[src]

Initializes this matrix from its components.

impl<N, R, C, S> Matrix<N, R, C, S> where
    C: Dim,
    N: Scalar,
    R: Dim,
    S: Storage<N, R, C>, 
[src]

[src]

Returns a slice containing the i-th row of this matrix.

[src]

Returns a slice containing the n first elements of the i-th row of this matrix.

[src]

Extracts from this matrix a set of consecutive rows.

[src]

Extracts from this matrix a set of consecutive rows regularly skipping step rows.

[src]

Extracts a compile-time number of consecutive rows from this matrix.

[src]

Extracts from this matrix a compile-time number of rows regularly skipping step rows.

[src]

Extracts from this matrix nrows rows regularly skipping step rows. Both argument may or may not be values known at compile-time.

[src]

Extracts from this matrix nrows rows regularly skipping step rows. Both argument may or may not be values known at compile-time.

[src]

Returns a slice containing the i-th column of this matrix.

[src]

Returns a slice containing the n first elements of the i-th column of this matrix.

[src]

Extracts from this matrix a set of consecutive columns.

[src]

Extracts from this matrix a set of consecutive columns regularly skipping step columns.

[src]

Extracts a compile-time number of consecutive columns from this matrix.

[src]

Extracts from this matrix a compile-time number of columns regularly skipping step columns.

[src]

Extracts from this matrix ncols columns. The number of columns may or may not be known at compile-time.

[src]

Extracts from this matrix ncols columns skipping step columns. Both argument may or may not be values known at compile-time.

[src]

Slices this matrix starting at its component (irow, icol) and with (nrows, ncols) consecutive elements.

[src]

Slices this matrix starting at its component (start.0, start.1) and with (shape.0, shape.1) components. Each row (resp. column) of the sliced matrix is separated by steps.0 (resp. steps.1) ignored rows (resp. columns) of the original matrix.

[src]

Slices this matrix starting at its component (irow, icol) and with (R::dim(), CSlice::dim()) consecutive components.

[src]

Slices this matrix starting at its component (start.0, start.1) and with (R::dim(), CSlice::dim()) components. Each row (resp. column) of the sliced matrix is separated by steps.0 (resp. steps.1) ignored rows (resp. columns) of the original matrix.

[src]

Creates a slice that may or may not have a fixed size and stride.

[src]

Creates a slice that may or may not have a fixed size and stride.

[src]

Splits this NxM matrix into two parts delimited by two ranges.

Panics if the ranges overlap or if the first range is empty.

[src]

Splits this NxM matrix into two parts delimited by two ranges.

Panics if the ranges overlap or if the first range is empty.

impl<N, R, C, S> Matrix<N, R, C, S> where
    C: Dim,
    N: Scalar,
    R: Dim,
    S: StorageMut<N, R, C>, 
[src]

[src]

Returns a slice containing the i-th row of this matrix.

[src]

Returns a slice containing the n first elements of the i-th row of this matrix.

[src]

Extracts from this matrix a set of consecutive rows.

[src]

Extracts from this matrix a set of consecutive rows regularly skipping step rows.

[src]

Extracts a compile-time number of consecutive rows from this matrix.

[src]

Extracts from this matrix a compile-time number of rows regularly skipping step rows.

[src]

Extracts from this matrix nrows rows regularly skipping step rows. Both argument may or may not be values known at compile-time.

[src]

Extracts from this matrix nrows rows regularly skipping step rows. Both argument may or may not be values known at compile-time.

[src]

Returns a slice containing the i-th column of this matrix.

[src]

Returns a slice containing the n first elements of the i-th column of this matrix.

[src]

Extracts from this matrix a set of consecutive columns.

[src]

Extracts from this matrix a set of consecutive columns regularly skipping step columns.

[src]

Extracts a compile-time number of consecutive columns from this matrix.

[src]

Extracts from this matrix a compile-time number of columns regularly skipping step columns.

[src]

Extracts from this matrix ncols columns. The number of columns may or may not be known at compile-time.

[src]

Extracts from this matrix ncols columns skipping step columns. Both argument may or may not be values known at compile-time.

[src]

Slices this matrix starting at its component (irow, icol) and with (nrows, ncols) consecutive elements.

[src]

Slices this matrix starting at its component (start.0, start.1) and with (shape.0, shape.1) components. Each row (resp. column) of the sliced matrix is separated by steps.0 (resp. steps.1) ignored rows (resp. columns) of the original matrix.

[src]

Slices this matrix starting at its component (irow, icol) and with (R::dim(), CSlice::dim()) consecutive components.

[src]

Slices this matrix starting at its component (start.0, start.1) and with (R::dim(), CSlice::dim()) components. Each row (resp. column) of the sliced matrix is separated by steps.0 (resp. steps.1) ignored rows (resp. columns) of the original matrix.

[src]

Creates a slice that may or may not have a fixed size and stride.

[src]

Creates a slice that may or may not have a fixed size and stride.

[src]

Splits this NxM matrix into two parts delimited by two ranges.

Panics if the ranges overlap or if the first range is empty.

[src]

Splits this NxM matrix into two parts delimited by two ranges.

Panics if the ranges overlap or if the first range is empty.

impl<N, R1, C1, SA> Matrix<N, R1, C1, SA> where
    C1: Dim,
    N: Scalar,
    R1: Dim,
    SA: Storage<N, R1, C1>, 
[src]

[src]

impl<N, R1, C1, SA> Matrix<N, R1, C1, SA> where
    C1: Dim,
    N: Scalar,
    R1: Dim,
    SA: StorageMut<N, R1, C1>, 
[src]

[src]

[src]

Deprecated

: This is renamed using the _assign sufix instead of the _mut suffix.

impl<N, R1, C1, SA> Matrix<N, R1, C1, SA> where
    C1: Dim,
    N: Scalar,
    R1: Dim,
    SA: Storage<N, R1, C1>, 
[src]

[src]

impl<N, R1, C1, SA> Matrix<N, R1, C1, SA> where
    C1: Dim,
    N: Scalar,
    R1: Dim,
    SA: StorageMut<N, R1, C1>, 
[src]

[src]

[src]

Deprecated

: This is renamed using the _assign sufix instead of the _mut suffix.

Trait Implementations

impl<'a, N, R, C, S> Neg for &'a Matrix<N, R, C, S> where
    C: Dim,
    N: Scalar + ClosedNeg,
    R: Dim,
    S: Storage<N, R, C>,
    DefaultAllocator: Allocator<N, R, C>, 
[src]

[src]

impl<N, R, C, S> Neg for Matrix<N, R, C, S> where
    C: Dim,
    N: Scalar + ClosedNeg,
    R: Dim,
    S: Storage<N, R, C>,
    DefaultAllocator: Allocator<N, R, C>, 
[src]

[src]

impl<N, R, C> InnerSpace for Matrix<N, R, C, <DefaultAllocator as Allocator<N, R, C>>::Buffer> where
    C: DimName,
    N: Real,
    R: DimName,
    DefaultAllocator: Allocator<N, R, C>, 
[src]

[src]

[src]

impl<N, R, C> Rand for Matrix<N, R, C, <DefaultAllocator as Allocator<N, R, C>>::Buffer> where
    C: Dim,
    N: Scalar + Rand,
    R: Dim,
    DefaultAllocator: Allocator<N, R, C>, 
[src]

[src]

impl<N, R, C, S> Copy for Matrix<N, R, C, S> where
    C: Dim + Copy,
    N: Scalar + Copy,
    R: Dim + Copy,
    S: Copy
[src]

impl<N, R, C, S> Clone for Matrix<N, R, C, S> where
    C: Dim + Clone,
    N: Scalar + Clone,
    R: Dim + Clone,
    S: Clone
[src]

[src]

Returns a copy of the value. Read more

1.0.0
[src]

Performs copy-assignment from source. Read more

impl<N, R, C> AbstractMonoid<Additive> for Matrix<N, R, C, <DefaultAllocator as Allocator<N, R, C>>::Buffer> where
    C: DimName,
    N: Scalar + AbstractMonoid<Additive> + Zero + ClosedAdd<N>,
    R: DimName,
    DefaultAllocator: Allocator<N, R, C>, 
[src]

impl<N, D> AbstractMonoid<Multiplicative> for Matrix<N, D, D, <DefaultAllocator as Allocator<N, D, D>>::Buffer> where
    D: DimName,
    N: Scalar + Zero + One + ClosedAdd<N> + ClosedMul<N> + AbstractMonoid<Multiplicative> + One,
    DefaultAllocator: Allocator<N, D, D>, 
[src]

impl<N1, N2, R1, C1, R2, C2> SubsetOf<Matrix<N2, R2, C2, <DefaultAllocator as Allocator<N2, R2, C2>>::Buffer>> for Matrix<N1, R1, C1, <DefaultAllocator as Allocator<N1, R1, C1>>::Buffer> where
    C1: Dim,
    C2: Dim,
    N1: Scalar,
    N2: Scalar + SupersetOf<N1>,
    R1: Dim,
    R2: Dim,
    DefaultAllocator: Allocator<N2, R2, C2>,
    DefaultAllocator: Allocator<N1, R1, C1>,
    DefaultAllocator: SameShapeAllocator<N1, R1, C1, R2, C2>,
    ShapeConstraint: SameNumberOfRows<R1, R2>,
    ShapeConstraint: SameNumberOfColumns<C1, C2>, 
[src]

[src]

[src]

[src]

impl<N, R, C> Inverse<Additive> for Matrix<N, R, C, <DefaultAllocator as Allocator<N, R, C>>::Buffer> where
    C: DimName,
    N: Scalar + ClosedNeg,
    R: DimName,
    DefaultAllocator: Allocator<N, R, C>, 
[src]

[src]

[src]

impl<N, R, C> FiniteDimInnerSpace for Matrix<N, R, C, <DefaultAllocator as Allocator<N, R, C>>::Buffer> where
    C: DimName,
    N: Real,
    R: DimName,
    DefaultAllocator: Allocator<N, R, C>, 
[src]

[src]

[src]

impl<N, S> Into<[N; 2]> for Matrix<N, U1, U2, S> where
    N: Scalar,
    S: ContiguousStorage<N, U1, U2>, 
[src]

[src]

Performs the conversion.

impl<N, S> Into<[N; 6]> for Matrix<N, U6, U1, S> where
    N: Scalar,
    S: ContiguousStorage<N, U6, U1>, 
[src]

[src]

Performs the conversion.

impl<N, S> Into<[N; 16]> for Matrix<N, U1, U16, S> where
    N: Scalar,
    S: ContiguousStorage<N, U1, U16>, 
[src]

[src]

Performs the conversion.

impl<N, S> Into<[[N; 4]; 3]> for Matrix<N, U4, U3, S> where
    N: Scalar,
    S: ContiguousStorage<N, U4, U3>, 
[src]

[src]

Performs the conversion.

impl<N, S> Into<[N; 15]> for Matrix<N, U15, U1, S> where
    N: Scalar,
    S: ContiguousStorage<N, U15, U1>, 
[src]

[src]

Performs the conversion.

impl<N, S> Into<[N; 3]> for Matrix<N, U3, U1, S> where
    N: Scalar,
    S: ContiguousStorage<N, U3, U1>, 
[src]

[src]

Performs the conversion.

impl<N, S> Into<[[N; 4]; 4]> for Matrix<N, U4, U4, S> where
    N: Scalar,
    S: ContiguousStorage<N, U4, U4>, 
[src]

[src]

Performs the conversion.

impl<N, S> Into<[[N; 6]; 6]> for Matrix<N, U6, U6, S> where
    N: Scalar,
    S: ContiguousStorage<N, U6, U6>, 
[src]

[src]

Performs the conversion.

impl<N, S> Into<[[N; 5]; 2]> for Matrix<N, U5, U2, S> where
    N: Scalar,
    S: ContiguousStorage<N, U5, U2>, 
[src]

[src]

Performs the conversion.

impl<N, S> Into<[N; 10]> for Matrix<N, U10, U1, S> where
    N: Scalar,
    S: ContiguousStorage<N, U10, U1>, 
[src]

[src]

Performs the conversion.

impl<N, S> Into<[[N; 2]; 4]> for Matrix<N, U2, U4, S> where
    N: Scalar,
    S: ContiguousStorage<N, U2, U4>, 
[src]

[src]

Performs the conversion.

impl<N, S> Into<[N; 5]> for Matrix<N, U1, U5, S> where
    N: Scalar,
    S: ContiguousStorage<N, U1, U5>, 
[src]

[src]

Performs the conversion.

impl<N, S> Into<[N; 5]> for Matrix<N, U5, U1, S> where
    N: Scalar,
    S: ContiguousStorage<N, U5, U1>, 
[src]

[src]

Performs the conversion.

impl<N, S> Into<[[N; 6]; 3]> for Matrix<N, U6, U3, S> where
    N: Scalar,
    S: ContiguousStorage<N, U6, U3>, 
[src]

[src]

Performs the conversion.

impl<N, S> Into<[[N; 5]; 4]> for Matrix<N, U5, U4, S> where
    N: Scalar,
    S: ContiguousStorage<N, U5, U4>, 
[src]

[src]

Performs the conversion.

impl<N, S> Into<[[N; 3]; 5]> for Matrix<N, U3, U5, S> where
    N: Scalar,
    S: ContiguousStorage<N, U3, U5>, 
[src]

[src]

Performs the conversion.

impl<N, S> Into<[N; 12]> for Matrix<N, U12, U1, S> where
    N: Scalar,
    S: ContiguousStorage<N, U12, U1>, 
[src]

[src]

Performs the conversion.

impl<N, S> Into<[[N; 5]; 5]> for Matrix<N, U5, U5, S> where
    N: Scalar,
    S: ContiguousStorage<N, U5, U5>, 
[src]

[src]

Performs the conversion.

impl<N, S> Into<[N; 16]> for Matrix<N, U16, U1, S> where
    N: Scalar,
    S: ContiguousStorage<N, U16, U1>, 
[src]

[src]

Performs the conversion.

impl<N, S> Into<[[N; 4]; 6]> for Matrix<N, U4, U6, S> where
    N: Scalar,
    S: ContiguousStorage<N, U4, U6>, 
[src]

[src]

Performs the conversion.

impl<N, S> Into<[N; 7]> for Matrix<N, U7, U1, S> where
    N: Scalar,
    S: ContiguousStorage<N, U7, U1>, 
[src]

[src]

Performs the conversion.

impl<N, S> Into<[[N; 4]; 2]> for Matrix<N, U4, U2, S> where
    N: Scalar,
    S: ContiguousStorage<N, U4, U2>, 
[src]

[src]

Performs the conversion.

impl<N, S> Into<[[N; 6]; 2]> for Matrix<N, U6, U2, S> where
    N: Scalar,
    S: ContiguousStorage<N, U6, U2>, 
[src]

[src]

Performs the conversion.

impl<N, S> Into<[[N; 3]; 6]> for Matrix<N, U3, U6, S> where
    N: Scalar,
    S: ContiguousStorage<N, U3, U6>, 
[src]

[src]

Performs the conversion.

impl<N, S> Into<[N; 8]> for Matrix<N, U8, U1, S> where
    N: Scalar,
    S: ContiguousStorage<N, U8, U1>, 
[src]

[src]

Performs the conversion.

impl<N, S> Into<[N; 6]> for Matrix<N, U1, U6, S> where
    N: Scalar,
    S: ContiguousStorage<N, U1, U6>, 
[src]

[src]

Performs the conversion.

impl<N, S> Into<[N; 15]> for Matrix<N, U1, U15, S> where
    N: Scalar,
    S: ContiguousStorage<N, U1, U15>, 
[src]

[src]

Performs the conversion.

impl<N, S> Into<[N; 4]> for Matrix<N, U1, U4, S> where
    N: Scalar,
    S: ContiguousStorage<N, U1, U4>, 
[src]

[src]

Performs the conversion.

impl<N, S> Into<[[N; 3]; 2]> for Matrix<N, U3, U2, S> where
    N: Scalar,
    S: ContiguousStorage<N, U3, U2>, 
[src]

[src]

Performs the conversion.

impl<N, S> Into<[N; 11]> for Matrix<N, U11, U1, S> where
    N: Scalar,
    S: ContiguousStorage<N, U11, U1>, 
[src]

[src]

Performs the conversion.

impl<N, S> Into<[[N; 6]; 5]> for Matrix<N, U6, U5, S> where
    N: Scalar,
    S: ContiguousStorage<N, U6, U5>, 
[src]

[src]

Performs the conversion.

impl<N, S> Into<[N; 2]> for Matrix<N, U2, U1, S> where
    N: Scalar,
    S: ContiguousStorage<N, U2, U1>, 
[src]

[src]

Performs the conversion.

impl<N, S> Into<[N; 9]> for Matrix<N, U1, U9, S> where
    N: Scalar,
    S: ContiguousStorage<N, U1, U9>, 
[src]

[src]

Performs the conversion.

impl<N, S> Into<[N; 4]> for Matrix<N, U4, U1, S> where
    N: Scalar,
    S: ContiguousStorage<N, U4, U1>, 
[src]

[src]

Performs the conversion.

impl<N, S> Into<[[N; 2]; 5]> for Matrix<N, U2, U5, S> where
    N: Scalar,
    S: ContiguousStorage<N, U2, U5>, 
[src]

[src]

Performs the conversion.

impl<N, S> Into<[N; 1]> for Matrix<N, U1, U1, S> where
    N: Scalar,
    S: ContiguousStorage<N, U1, U1>, 
[src]

[src]

Performs the conversion.

impl<N, S> Into<[N; 13]> for Matrix<N, U1, U13, S> where
    N: Scalar,
    S: ContiguousStorage<N, U1, U13>, 
[src]

[src]

Performs the conversion.

impl<N, S> Into<[N; 7]> for Matrix<N, U1, U7, S> where
    N: Scalar,
    S: ContiguousStorage<N, U1, U7>, 
[src]

[src]

Performs the conversion.

impl<N, S> Into<[[N; 4]; 5]> for Matrix<N, U4, U5, S> where
    N: Scalar,
    S: ContiguousStorage<N, U4, U5>, 
[src]

[src]

Performs the conversion.

impl<N, S> Into<[N; 13]> for Matrix<N, U13, U1, S> where
    N: Scalar,
    S: ContiguousStorage<N, U13, U1>, 
[src]

[src]

Performs the conversion.

impl<N, S> Into<[[N; 2]; 2]> for Matrix<N, U2, U2, S> where
    N: Scalar,
    S: ContiguousStorage<N, U2, U2>, 
[src]

[src]

Performs the conversion.

impl<N, S> Into<[N; 14]> for Matrix<N, U1, U14, S> where
    N: Scalar,
    S: ContiguousStorage<N, U1, U14>, 
[src]

[src]

Performs the conversion.

impl<N, S> Into<[N; 11]> for Matrix<N, U1, U11, S> where
    N: Scalar,
    S: ContiguousStorage<N, U1, U11>, 
[src]

[src]

Performs the conversion.

impl<N, S> Into<[[N; 5]; 3]> for Matrix<N, U5, U3, S> where
    N: Scalar,
    S: ContiguousStorage<N, U5, U3>, 
[src]

[src]

Performs the conversion.

impl<N, S> Into<[[N; 6]; 4]> for Matrix<N, U6, U4, S> where
    N: Scalar,
    S: ContiguousStorage<N, U6, U4>, 
[src]

[src]

Performs the conversion.

impl<N, S> Into<[[N; 5]; 6]> for Matrix<N, U5, U6, S> where
    N: Scalar,
    S: ContiguousStorage<N, U5, U6>, 
[src]

[src]

Performs the conversion.

impl<N, S> Into<[N; 3]> for Matrix<N, U1, U3, S> where
    N: Scalar,
    S: ContiguousStorage<N, U1, U3>, 
[src]

[src]

Performs the conversion.

impl<N, S> Into<[N; 8]> for Matrix<N, U1, U8, S> where
    N: Scalar,
    S: ContiguousStorage<N, U1, U8>, 
[src]

[src]

Performs the conversion.

impl<N, S> Into<[[N; 2]; 3]> for Matrix<N, U2, U3, S> where
    N: Scalar,
    S: ContiguousStorage<N, U2, U3>, 
[src]

[src]

Performs the conversion.

impl<N, S> Into<[[N; 3]; 3]> for Matrix<N, U3, U3, S> where
    N: Scalar,
    S: ContiguousStorage<N, U3, U3>, 
[src]

[src]

Performs the conversion.

impl<N, S> Into<[N; 12]> for Matrix<N, U1, U12, S> where
    N: Scalar,
    S: ContiguousStorage<N, U1, U12>, 
[src]

[src]

Performs the conversion.

impl<N, S> Into<[N; 10]> for Matrix<N, U1, U10, S> where
    N: Scalar,
    S: ContiguousStorage<N, U1, U10>, 
[src]

[src]

Performs the conversion.

impl<N, S> Into<[[N; 3]; 4]> for Matrix<N, U3, U4, S> where
    N: Scalar,
    S: ContiguousStorage<N, U3, U4>, 
[src]

[src]

Performs the conversion.

impl<N, S> Into<[N; 9]> for Matrix<N, U9, U1, S> where
    N: Scalar,
    S: ContiguousStorage<N, U9, U1>, 
[src]

[src]

Performs the conversion.

impl<N, S> Into<[[N; 2]; 6]> for Matrix<N, U2, U6, S> where
    N: Scalar,
    S: ContiguousStorage<N, U2, U6>, 
[src]

[src]

Performs the conversion.

impl<N, S> Into<[N; 14]> for Matrix<N, U14, U1, S> where
    N: Scalar,
    S: ContiguousStorage<N, U14, U1>, 
[src]

[src]

Performs the conversion.

impl<N, D> Transformation<Point<N, <D as DimNameSub<U1>>::Output>> for Matrix<N, D, D, <DefaultAllocator as Allocator<N, D, D>>::Buffer> where
    D: DimNameSub<U1>,
    N: Real,
    DefaultAllocator: Allocator<N, D, D>,
    DefaultAllocator: Allocator<N, <D as DimNameSub<U1>>::Output, U1>,
    DefaultAllocator: Allocator<N, <D as DimNameSub<U1>>::Output, <D as DimNameSub<U1>>::Output>, 
[src]

[src]

[src]

impl<'a, N, R, C, S> Div<N> for &'a Matrix<N, R, C, S> where
    C: Dim,
    N: Scalar + ClosedDiv<N>,
    R: Dim,
    S: Storage<N, R, C>,
    DefaultAllocator: Allocator<N, R, C>, 
[src]

[src]

impl<'a, N, R1, C1, D2, SA> Div<Rotation<N, D2>> for &'a Matrix<N, R1, C1, SA> where
    C1: Dim,
    D2: DimName,
    N: Scalar + Zero + One + ClosedAdd<N> + ClosedMul<N>,
    R1: Dim,
    SA: Storage<N, R1, C1>,
    DefaultAllocator: Allocator<N, R1, C1>,
    DefaultAllocator: Allocator<N, D2, D2>,
    DefaultAllocator: Allocator<N, R1, D2>,
    DefaultAllocator: Allocator<N, R1, D2>,
    ShapeConstraint: AreMultipliable<R1, C1, D2, D2>, 
[src]

[src]

impl<N, R1, C1, D2, SA> Div<Rotation<N, D2>> for Matrix<N, R1, C1, SA> where
    C1: Dim,
    D2: DimName,
    N: Scalar + Zero + One + ClosedAdd<N> + ClosedMul<N>,
    R1: Dim,
    SA: Storage<N, R1, C1>,
    DefaultAllocator: Allocator<N, R1, C1>,
    DefaultAllocator: Allocator<N, D2, D2>,
    DefaultAllocator: Allocator<N, R1, D2>,
    DefaultAllocator: Allocator<N, R1, D2>,
    ShapeConstraint: AreMultipliable<R1, C1, D2, D2>, 
[src]

[src]

impl<N, R, C, S> Div<N> for Matrix<N, R, C, S> where
    C: Dim,
    N: Scalar + ClosedDiv<N>,
    R: Dim,
    S: Storage<N, R, C>,
    DefaultAllocator: Allocator<N, R, C>, 
[src]

[src]

impl<'a, 'b, N, R1, C1, D2, SA> Div<&'b Rotation<N, D2>> for &'a Matrix<N, R1, C1, SA> where
    C1: Dim,
    D2: DimName,
    N: Scalar + Zero + One + ClosedAdd<N> + ClosedMul<N>,
    R1: Dim,
    SA: Storage<N, R1, C1>,
    DefaultAllocator: Allocator<N, R1, C1>,
    DefaultAllocator: Allocator<N, D2, D2>,
    DefaultAllocator: Allocator<N, R1, D2>,
    DefaultAllocator: Allocator<N, R1, D2>,
    ShapeConstraint: AreMultipliable<R1, C1, D2, D2>, 
[src]

[src]

impl<'b, N, R1, C1, D2, SA> Div<&'b Rotation<N, D2>> for Matrix<N, R1, C1, SA> where
    C1: Dim,
    D2: DimName,
    N: Scalar + Zero + One + ClosedAdd<N> + ClosedMul<N>,
    R1: Dim,
    SA: Storage<N, R1, C1>,
    DefaultAllocator: Allocator<N, R1, C1>,
    DefaultAllocator: Allocator<N, D2, D2>,
    DefaultAllocator: Allocator<N, R1, D2>,
    DefaultAllocator: Allocator<N, R1, D2>,
    ShapeConstraint: AreMultipliable<R1, C1, D2, D2>, 
[src]

[src]

impl<N, R, C> Bounded for Matrix<N, R, C, <DefaultAllocator as Allocator<N, R, C>>::Buffer> where
    C: DimName,
    N: Scalar + Bounded,
    R: DimName,
    DefaultAllocator: Allocator<N, R, C>, 
[src]

[src]

[src]

impl<'a, N, R, C, S> IntoIterator for &'a mut Matrix<N, R, C, S> where
    C: Dim,
    N: Scalar,
    R: Dim,
    S: StorageMut<N, R, C>, 
[src]

[src]

impl<'a, N, R, C, S> IntoIterator for &'a Matrix<N, R, C, S> where
    C: Dim,
    N: Scalar,
    R: Dim,
    S: Storage<N, R, C>, 
[src]

[src]

impl<N, D> AbstractSemigroup<Multiplicative> for Matrix<N, D, D, <DefaultAllocator as Allocator<N, D, D>>::Buffer> where
    D: DimName,
    N: Scalar + Zero + One + ClosedAdd<N> + ClosedMul<N> + AbstractSemigroup<Multiplicative>,
    DefaultAllocator: Allocator<N, D, D>, 
[src]

impl<N, R, C> AbstractSemigroup<Additive> for Matrix<N, R, C, <DefaultAllocator as Allocator<N, R, C>>::Buffer> where
    C: DimName,
    N: Scalar + AbstractSemigroup<Additive> + ClosedAdd<N>,
    R: DimName,
    DefaultAllocator: Allocator<N, R, C>, 
[src]

impl<'a, N, D> Product<&'a Matrix<N, D, D, <DefaultAllocator as Allocator<N, D, D>>::Buffer>> for Matrix<N, D, D, <DefaultAllocator as Allocator<N, D, D>>::Buffer> where
    D: DimName,
    N: Scalar + Zero + One + ClosedMul<N> + ClosedAdd<N>,
    DefaultAllocator: Allocator<N, D, D>, 
[src]

[src]

impl<N, D> Product<Matrix<N, D, D, <DefaultAllocator as Allocator<N, D, D>>::Buffer>> for Matrix<N, D, D, <DefaultAllocator as Allocator<N, D, D>>::Buffer> where
    D: DimName,
    N: Scalar + Zero + One + ClosedMul<N> + ClosedAdd<N>,
    DefaultAllocator: Allocator<N, D, D>, 
[src]

[src]

impl<N, R, C> NormedSpace for Matrix<N, R, C, <DefaultAllocator as Allocator<N, R, C>>::Buffer> where
    C: DimName,
    N: Real,
    R: DimName,
    DefaultAllocator: Allocator<N, R, C>, 
[src]

[src]

[src]

[src]

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impl<N, R, C> AbstractLoop<Additive> for Matrix<N, R, C, <DefaultAllocator as Allocator<N, R, C>>::Buffer> where
    C: DimName,
    N: Scalar + AbstractLoop<Additive> + Zero + ClosedAdd<N> + ClosedNeg,
    R: DimName,
    DefaultAllocator: Allocator<N, R, C>, 
[src]

impl<'b, N, R1, C1> DivAssign<&'b Rotation<N, C1>> for Matrix<N, R1, C1, <DefaultAllocator as Allocator<N, R1, C1>>::Buffer> where
    C1: DimName,
    N: Scalar + Zero + One + ClosedAdd<N> + ClosedMul<N>,
    R1: DimName,
    DefaultAllocator: Allocator<N, R1, C1>,
    DefaultAllocator: Allocator<N, C1, C1>, 
[src]

[src]

impl<N, R, C, S> DivAssign<N> for Matrix<N, R, C, S> where
    C: Dim,
    N: Scalar + ClosedDiv<N>,
    R: Dim,
    S: StorageMut<N, R, C>, 
[src]

[src]

impl<N, R1, C1> DivAssign<Rotation<N, C1>> for Matrix<N, R1, C1, <DefaultAllocator as Allocator<N, R1, C1>>::Buffer> where
    C1: DimName,
    N: Scalar + Zero + One + ClosedAdd<N> + ClosedMul<N>,
    R1: DimName,
    DefaultAllocator: Allocator<N, R1, C1>,
    DefaultAllocator: Allocator<N, C1, C1>, 
[src]

[src]

impl<N, R, C> VectorSpace for Matrix<N, R, C, <DefaultAllocator as Allocator<N, R, C>>::Buffer> where
    C: DimName,
    N: Scalar + Field,
    R: DimName,
    DefaultAllocator: Allocator<N, R, C>, 
[src]

impl<N, R, C, S> ApproxEq for Matrix<N, R, C, S> where
    C: Dim,
    N: Scalar + ApproxEq,
    R: Dim,
    S: Storage<N, R, C>,
    <N as ApproxEq>::Epsilon: Copy
[src]

[src]

[src]

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impl<N, R, C, S> PartialOrd<Matrix<N, R, C, S>> for Matrix<N, R, C, S> where
    C: Dim,
    N: Scalar + PartialOrd<N>,
    R: Dim,
    S: Storage<N, R, C>, 
[src]

[src]

[src]

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impl<N, R, C, S> Hash for Matrix<N, R, C, S> where
    C: Dim + Hash,
    N: Scalar + Hash,
    R: Dim + Hash,
    S: Hash
[src]

[src]

Feeds this value into the given [Hasher]. Read more

1.3.0
[src]

Feeds a slice of this type into the given [Hasher]. Read more

impl<N, S> DerefMut for Matrix<N, U2, U4, S> where
    N: Scalar,
    S: ContiguousStorageMut<N, U2, U4>, 
[src]

[src]

impl<N, S> DerefMut for Matrix<N, U3, U2, S> where
    N: Scalar,
    S: ContiguousStorageMut<N, U3, U2>, 
[src]

[src]

impl<N, S> DerefMut for Matrix<N, U5, U6, S> where
    N: Scalar,
    S: ContiguousStorageMut<N, U5, U6>, 
[src]

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impl<N, S> DerefMut for Matrix<N, U1, U1, S> where
    N: Scalar,
    S: ContiguousStorageMut<N, U1, U1>, 
[src]

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impl<N, S> DerefMut for Matrix<N, U4, U1, S> where
    N: Scalar,
    S: ContiguousStorageMut<N, U4, U1>, 
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impl<N, S> DerefMut for Matrix<N, U1, U2, S> where
    N: Scalar,
    S: ContiguousStorageMut<N, U1, U2>, 
[src]

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impl<N, S> DerefMut for Matrix<N, U2, U2, S> where
    N: Scalar,
    S: ContiguousStorageMut<N, U2, U2>, 
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impl<N, S> DerefMut for Matrix<N, U1, U4, S> where
    N: Scalar,
    S: ContiguousStorageMut<N, U1, U4>, 
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impl<N, S> DerefMut for Matrix<N, U6, U2, S> where
    N: Scalar,
    S: ContiguousStorageMut<N, U6, U2>, 
[src]

[src]

impl<N, S> DerefMut for Matrix<N, U5, U4, S> where
    N: Scalar,
    S: ContiguousStorageMut<N, U5, U4>, 
[src]

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impl<N, S> DerefMut for Matrix<N, U5, U5, S> where
    N: Scalar,
    S: ContiguousStorageMut<N, U5, U5>, 
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impl<N, S> DerefMut for Matrix<N, U1, U3, S> where
    N: Scalar,
    S: ContiguousStorageMut<N, U1, U3>, 
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impl<N, S> DerefMut for Matrix<N, U4, U2, S> where
    N: Scalar,
    S: ContiguousStorageMut<N, U4, U2>, 
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impl<N, S> DerefMut for Matrix<N, U3, U4, S> where
    N: Scalar,
    S: ContiguousStorageMut<N, U3, U4>, 
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impl<N, S> DerefMut for Matrix<N, U6, U6, S> where
    N: Scalar,
    S: ContiguousStorageMut<N, U6, U6>, 
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impl<N, S> DerefMut for Matrix<N, U2, U5, S> where
    N: Scalar,
    S: ContiguousStorageMut<N, U2, U5>, 
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impl<N, S> DerefMut for Matrix<N, U3, U6, S> where
    N: Scalar,
    S: ContiguousStorageMut<N, U3, U6>, 
[src]

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impl<N, S> DerefMut for Matrix<N, U5, U1, S> where
    N: Scalar,
    S: ContiguousStorageMut<N, U5, U1>, 
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impl<N, S> DerefMut for Matrix<N, U6, U1, S> where
    N: Scalar,
    S: ContiguousStorageMut<N, U6, U1>, 
[src]

[src]

impl<N, S> DerefMut for Matrix<N, U4, U6, S> where
    N: Scalar,
    S: ContiguousStorageMut<N, U4, U6>, 
[src]

[src]

impl<N, S> DerefMut for Matrix<N, U1, U5, S> where
    N: Scalar,
    S: ContiguousStorageMut<N, U1, U5>, 
[src]

[src]

impl<N, S> DerefMut for Matrix<N, U3, U3, S> where
    N: Scalar,
    S: ContiguousStorageMut<N, U3, U3>, 
[src]

[src]

impl<N, S> DerefMut for Matrix<N, U3, U1, S> where
    N: Scalar,
    S: ContiguousStorageMut<N, U3, U1>, 
[src]

[src]

impl<N, S> DerefMut for Matrix<N, U1, U6, S> where
    N: Scalar,
    S: ContiguousStorageMut<N, U1, U6>, 
[src]

[src]

impl<N, S> DerefMut for Matrix<N, U4, U5, S> where
    N: Scalar,
    S: ContiguousStorageMut<N, U4, U5>, 
[src]

[src]

impl<N, S> DerefMut for Matrix<N, U6, U5, S> where
    N: Scalar,
    S: ContiguousStorageMut<N, U6, U5>, 
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impl<N, S> DerefMut for Matrix<N, U6, U3, S> where
    N: Scalar,
    S: ContiguousStorageMut<N, U6, U3>, 
[src]

[src]

impl<N, S> DerefMut for Matrix<N, U4, U3, S> where
    N: Scalar,
    S: ContiguousStorageMut<N, U4, U3>, 
[src]

[src]

impl<N, S> DerefMut for Matrix<N, U5, U3, S> where
    N: Scalar,
    S: ContiguousStorageMut<N, U5, U3>, 
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impl<N, S> DerefMut for Matrix<N, U3, U5, S> where
    N: Scalar,
    S: ContiguousStorageMut<N, U3, U5>, 
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impl<N, S> DerefMut for Matrix<N, U2, U1, S> where
    N: Scalar,
    S: ContiguousStorageMut<N, U2, U1>, 
[src]

[src]

impl<N, S> DerefMut for Matrix<N, U2, U3, S> where
    N: Scalar,
    S: ContiguousStorageMut<N, U2, U3>, 
[src]

[src]

impl<N, S> DerefMut for Matrix<N, U2, U6, S> where
    N: Scalar,
    S: ContiguousStorageMut<N, U2, U6>, 
[src]

[src]

impl<N, S> DerefMut for Matrix<N, U5, U2, S> where
    N: Scalar,
    S: ContiguousStorageMut<N, U5, U2>, 
[src]

[src]

impl<N, S> DerefMut for Matrix<N, U4, U4, S> where
    N: Scalar,
    S: ContiguousStorageMut<N, U4, U4>, 
[src]

[src]

impl<N, S> DerefMut for Matrix<N, U6, U4, S> where
    N: Scalar,
    S: ContiguousStorageMut<N, U6, U4>, 
[src]

[src]

impl<N> From<[N; 5]> for Matrix<N, U1, U5, <DefaultAllocator as Allocator<N, U1, U5>>::Buffer> where
    N: Scalar,
    DefaultAllocator: Allocator<N, U1, U5>, 
[src]

[src]

Performs the conversion.

impl<N> From<[[N; 5]; 5]> for Matrix<N, U5, U5, <DefaultAllocator as Allocator<N, U5, U5>>::Buffer> where
    N: Scalar,
    DefaultAllocator: Allocator<N, U5, U5>, 
[src]

[src]

Performs the conversion.

impl<N> From<[N; 8]> for Matrix<N, U8, U1, <DefaultAllocator as Allocator<N, U8, U1>>::Buffer> where
    N: Scalar,
    DefaultAllocator: Allocator<N, U8, U1>, 
[src]

[src]

Performs the conversion.

impl<N> From<[N; 3]> for Matrix<N, U1, U3, <DefaultAllocator as Allocator<N, U1, U3>>::Buffer> where
    N: Scalar,
    DefaultAllocator: Allocator<N, U1, U3>, 
[src]

[src]

Performs the conversion.

impl<N> From<[N; 13]> for Matrix<N, U1, U13, <DefaultAllocator as Allocator<N, U1, U13>>::Buffer> where
    N: Scalar,
    DefaultAllocator: Allocator<N, U1, U13>, 
[src]

[src]

Performs the conversion.

impl<N> From<[[N; 6]; 4]> for Matrix<N, U6, U4, <DefaultAllocator as Allocator<N, U6, U4>>::Buffer> where
    N: Scalar,
    DefaultAllocator: Allocator<N, U6, U4>, 
[src]

[src]

Performs the conversion.

impl<N> From<[N; 12]> for Matrix<N, U12, U1, <DefaultAllocator as Allocator<N, U12, U1>>::Buffer> where
    N: Scalar,
    DefaultAllocator: Allocator<N, U12, U1>, 
[src]

[src]

Performs the conversion.

impl<N> From<[N; 13]> for Matrix<N, U13, U1, <DefaultAllocator as Allocator<N, U13, U1>>::Buffer> where
    N: Scalar,
    DefaultAllocator: Allocator<N, U13, U1>, 
[src]

[src]

Performs the conversion.

impl<N> From<[N; 2]> for Matrix<N, U2, U1, <DefaultAllocator as Allocator<N, U2, U1>>::Buffer> where
    N: Scalar,
    DefaultAllocator: Allocator<N, U2, U1>, 
[src]

[src]

Performs the conversion.

impl<N> From<[N; 11]> for Matrix<N, U11, U1, <DefaultAllocator as Allocator<N, U11, U1>>::Buffer> where
    N: Scalar,
    DefaultAllocator: Allocator<N, U11, U1>, 
[src]

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Performs the conversion.

impl<N> From<[[N; 2]; 3]> for Matrix<N, U2, U3, <DefaultAllocator as Allocator<N, U2, U3>>::Buffer> where
    N: Scalar,
    DefaultAllocator: Allocator<N, U2, U3>, 
[src]

[src]

Performs the conversion.

impl<N> From<[N; 16]> for Matrix<N, U16, U1, <DefaultAllocator as Allocator<N, U16, U1>>::Buffer> where
    N: Scalar,
    DefaultAllocator: Allocator<N, U16, U1>, 
[src]

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Performs the conversion.

impl<N> From<[N; 15]> for Matrix<N, U15, U1, <DefaultAllocator as Allocator<N, U15, U1>>::Buffer> where
    N: Scalar,
    DefaultAllocator: Allocator<N, U15, U1>, 
[src]

[src]

Performs the conversion.

impl<N> From<[N; 15]> for Matrix<N, U1, U15, <DefaultAllocator as Allocator<N, U1, U15>>::Buffer> where
    N: Scalar,
    DefaultAllocator: Allocator<N, U1, U15>, 
[src]

[src]

Performs the conversion.

impl<N> From<[N; 9]> for Matrix<N, U1, U9, <DefaultAllocator as Allocator<N, U1, U9>>::Buffer> where
    N: Scalar,
    DefaultAllocator: Allocator<N, U1, U9>, 
[src]

[src]

Performs the conversion.

impl<N> From<[N; 4]> for Matrix<N, U4, U1, <DefaultAllocator as Allocator<N, U4, U1>>::Buffer> where
    N: Scalar,
    DefaultAllocator: Allocator<N, U4, U1>, 
[src]

[src]

Performs the conversion.

impl<N> From<[N; 6]> for Matrix<N, U1, U6, <DefaultAllocator as Allocator<N, U1, U6>>::Buffer> where
    N: Scalar,
    DefaultAllocator: Allocator<N, U1, U6>, 
[src]

[src]

Performs the conversion.

impl<N> From<[[N; 2]; 2]> for Matrix<N, U2, U2, <DefaultAllocator as Allocator<N, U2, U2>>::Buffer> where
    N: Scalar,
    DefaultAllocator: Allocator<N, U2, U2>, 
[src]

[src]

Performs the conversion.

impl<N> From<[N; 7]> for Matrix<N, U1, U7, <DefaultAllocator as Allocator<N, U1, U7>>::Buffer> where
    N: Scalar,
    DefaultAllocator: Allocator<N, U1, U7>, 
[src]

[src]

Performs the conversion.

impl<N> From<[N; 2]> for Matrix<N, U1, U2, <DefaultAllocator as Allocator<N, U1, U2>>::Buffer> where
    N: Scalar,
    DefaultAllocator: Allocator<N, U1, U2>, 
[src]

[src]

Performs the conversion.

impl<N> From<[N; 16]> for Matrix<N, U1, U16, <DefaultAllocator as Allocator<N, U1, U16>>::Buffer> where
    N: Scalar,
    DefaultAllocator: Allocator<N, U1, U16>, 
[src]

[src]

Performs the conversion.

impl<N> From<[N; 8]> for Matrix<N, U1, U8, <DefaultAllocator as Allocator<N, U1, U8>>::Buffer> where
    N: Scalar,
    DefaultAllocator: Allocator<N, U1, U8>, 
[src]

[src]

Performs the conversion.

impl<N> From<[[N; 4]; 5]> for Matrix<N, U4, U5, <DefaultAllocator as Allocator<N, U4, U5>>::Buffer> where
    N: Scalar,
    DefaultAllocator: Allocator<N, U4, U5>, 
[src]

[src]

Performs the conversion.

impl<N> From<[N; 7]> for Matrix<N, U7, U1, <DefaultAllocator as Allocator<N, U7, U1>>::Buffer> where
    N: Scalar,
    DefaultAllocator: Allocator<N, U7, U1>, 
[src]

[src]

Performs the conversion.

impl<N> From<[N; 14]> for Matrix<N, U1, U14, <DefaultAllocator as Allocator<N, U1, U14>>::Buffer> where
    N: Scalar,
    DefaultAllocator: Allocator<N, U1, U14>, 
[src]

[src]

Performs the conversion.

impl<N> From<[N; 12]> for Matrix<N, U1, U12, <DefaultAllocator as Allocator<N, U1, U12>>::Buffer> where
    N: Scalar,
    DefaultAllocator: Allocator<N, U1, U12>, 
[src]

[src]

Performs the conversion.

impl<N> From<[[N; 6]; 3]> for Matrix<N, U6, U3, <DefaultAllocator as Allocator<N, U6, U3>>::Buffer> where
    N: Scalar,
    DefaultAllocator: Allocator<N, U6, U3>, 
[src]

[src]

Performs the conversion.

impl<N> From<[[N; 5]; 3]> for Matrix<N, U5, U3, <DefaultAllocator as Allocator<N, U5, U3>>::Buffer> where
    N: Scalar,
    DefaultAllocator: Allocator<N, U5, U3>, 
[src]

[src]

Performs the conversion.

impl<N> From<[[N; 3]; 3]> for Matrix<N, U3, U3, <DefaultAllocator as Allocator<N, U3, U3>>::Buffer> where
    N: Scalar,
    DefaultAllocator: Allocator<N, U3, U3>, 
[src]

[src]

Performs the conversion.

impl<N> From<[[N; 2]; 6]> for Matrix<N, U2, U6, <DefaultAllocator as Allocator<N, U2, U6>>::Buffer> where
    N: Scalar,
    DefaultAllocator: Allocator<N, U2, U6>, 
[src]

[src]

Performs the conversion.

impl<N> From<[[N; 5]; 6]> for Matrix<N, U5, U6, <DefaultAllocator as Allocator<N, U5, U6>>::Buffer> where
    N: Scalar,
    DefaultAllocator: Allocator<N, U5, U6>, 
[src]

[src]

Performs the conversion.

impl<N> From<[N; 6]> for Matrix<N, U6, U1, <DefaultAllocator as Allocator<N, U6, U1>>::Buffer> where
    N: Scalar,
    DefaultAllocator: Allocator<N, U6, U1>, 
[src]

[src]

Performs the conversion.

impl<N> From<[[N; 6]; 2]> for Matrix<N, U6, U2, <DefaultAllocator as Allocator<N, U6, U2>>::Buffer> where
    N: Scalar,
    DefaultAllocator: Allocator<N, U6, U2>, 
[src]

[src]

Performs the conversion.

impl<N> From<[[N; 3]; 6]> for Matrix<N, U3, U6, <DefaultAllocator as Allocator<N, U3, U6>>::Buffer> where
    N: Scalar,
    DefaultAllocator: Allocator<N, U3, U6>, 
[src]

[src]

Performs the conversion.

impl<N> From<[[N; 4]; 6]> for Matrix<N, U4, U6, <DefaultAllocator as Allocator<N, U4, U6>>::Buffer> where
    N: Scalar,
    DefaultAllocator: Allocator<N, U4, U6>, 
[src]

[src]

Performs the conversion.

impl<N> From<[N; 1]> for Matrix<N, U1, U1, <DefaultAllocator as Allocator<N, U1, U1>>::Buffer> where
    N: Scalar,
    DefaultAllocator: Allocator<N, U1, U1>, 
[src]

[src]

Performs the conversion.

impl<N> From<[N; 9]> for Matrix<N, U9, U1, <DefaultAllocator as Allocator<N, U9, U1>>::Buffer> where
    N: Scalar,
    DefaultAllocator: Allocator<N, U9, U1>, 
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[src]

Performs the conversion.

impl<N> From<[N; 10]> for Matrix<N, U10, U1, <DefaultAllocator as Allocator<N, U10, U1>>::Buffer> where
    N: Scalar,
    DefaultAllocator: Allocator<N, U10, U1>, 
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Performs the conversion.

impl<N> From<[[N; 6]; 5]> for Matrix<N, U6, U5, <DefaultAllocator as Allocator<N, U6, U5>>::Buffer> where
    N: Scalar,
    DefaultAllocator: Allocator<N, U6, U5>, 
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Performs the conversion.

impl<N> From<[[N; 4]; 4]> for Matrix<N, U4, U4, <DefaultAllocator as Allocator<N, U4, U4>>::Buffer> where
    N: Scalar,
    DefaultAllocator: Allocator<N, U4, U4>, 
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Performs the conversion.

impl<N> From<[N; 3]> for Matrix<N, U3, U1, <DefaultAllocator as Allocator<N, U3, U1>>::Buffer> where
    N: Scalar,
    DefaultAllocator: Allocator<N, U3, U1>, 
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Performs the conversion.

impl<N> From<[N; 4]> for Matrix<N, U1, U4, <DefaultAllocator as Allocator<N, U1, U4>>::Buffer> where
    N: Scalar,
    DefaultAllocator: Allocator<N, U1, U4>, 
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Performs the conversion.

impl<N> From<[[N; 3]; 4]> for Matrix<N, U3, U4, <DefaultAllocator as Allocator<N, U3, U4>>::Buffer> where
    N: Scalar,
    DefaultAllocator: Allocator<N, U3, U4>, 
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Performs the conversion.

impl<N> From<[[N; 2]; 4]> for Matrix<N, U2, U4, <DefaultAllocator as Allocator<N, U2, U4>>::Buffer> where
    N: Scalar,
    DefaultAllocator: Allocator<N, U2, U4>, 
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Performs the conversion.

impl<N> From<[[N; 6]; 6]> for Matrix<N, U6, U6, <DefaultAllocator as Allocator<N, U6, U6>>::Buffer> where
    N: Scalar,
    DefaultAllocator: Allocator<N, U6, U6>, 
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Performs the conversion.

impl<N> From<[[N; 5]; 4]> for Matrix<N, U5, U4, <DefaultAllocator as Allocator<N, U5, U4>>::Buffer> where
    N: Scalar,
    DefaultAllocator: Allocator<N, U5, U4>, 
[src]

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Performs the conversion.

impl<N> From<[[N; 4]; 3]> for Matrix<N, U4, U3, <DefaultAllocator as Allocator<N, U4, U3>>::Buffer> where
    N: Scalar,
    DefaultAllocator: Allocator<N, U4, U3>, 
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Performs the conversion.

impl<N> From<[N; 5]> for Matrix<N, U5, U1, <DefaultAllocator as Allocator<N, U5, U1>>::Buffer> where
    N: Scalar,
    DefaultAllocator: Allocator<N, U5, U1>, 
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Performs the conversion.

impl<N> From<[[N; 3]; 2]> for Matrix<N, U3, U2, <DefaultAllocator as Allocator<N, U3, U2>>::Buffer> where
    N: Scalar,
    DefaultAllocator: Allocator<N, U3, U2>, 
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Performs the conversion.

impl<N> From<[[N; 5]; 2]> for Matrix<N, U5, U2, <DefaultAllocator as Allocator<N, U5, U2>>::Buffer> where
    N: Scalar,
    DefaultAllocator: Allocator<N, U5, U2>, 
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Performs the conversion.

impl<N> From<[N; 10]> for Matrix<N, U1, U10, <DefaultAllocator as Allocator<N, U1, U10>>::Buffer> where
    N: Scalar,
    DefaultAllocator: Allocator<N, U1, U10>, 
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Performs the conversion.

impl<N> From<[[N; 4]; 2]> for Matrix<N, U4, U2, <DefaultAllocator as Allocator<N, U4, U2>>::Buffer> where
    N: Scalar,
    DefaultAllocator: Allocator<N, U4, U2>, 
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Performs the conversion.

impl<N> From<[N; 14]> for Matrix<N, U14, U1, <DefaultAllocator as Allocator<N, U14, U1>>::Buffer> where
    N: Scalar,
    DefaultAllocator: Allocator<N, U14, U1>, 
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Performs the conversion.

impl<N> From<[[N; 3]; 5]> for Matrix<N, U3, U5, <DefaultAllocator as Allocator<N, U3, U5>>::Buffer> where
    N: Scalar,
    DefaultAllocator: Allocator<N, U3, U5>, 
[src]

[src]

Performs the conversion.

impl<N> From<[N; 11]> for Matrix<N, U1, U11, <DefaultAllocator as Allocator<N, U1, U11>>::Buffer> where
    N: Scalar,
    DefaultAllocator: Allocator<N, U1, U11>, 
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Performs the conversion.

impl<N> From<[[N; 2]; 5]> for Matrix<N, U2, U5, <DefaultAllocator as Allocator<N, U2, U5>>::Buffer> where
    N: Scalar,
    DefaultAllocator: Allocator<N, U2, U5>, 
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Performs the conversion.

impl<N, R, C> MeetSemilattice for Matrix<N, R, C, <DefaultAllocator as Allocator<N, R, C>>::Buffer> where
    C: Dim,
    N: Scalar + MeetSemilattice,
    R: Dim,
    DefaultAllocator: Allocator<N, R, C>, 
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impl<N, R, C, S> PartialEq<Matrix<N, R, C, S>> for Matrix<N, R, C, S> where
    C: Dim,
    N: Scalar,
    R: Dim,
    S: Storage<N, R, C>, 
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This method tests for self and other values to be equal, and is used by ==. Read more

1.0.0
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This method tests for !=.

impl<'a, N, R1, C1, R2, C2, SA, SB> Add<Matrix<N, R2, C2, SB>> for &'a Matrix<N, R1, C1, SA> where
    C1: Dim,
    C2: Dim,
    N: Scalar + ClosedAdd<N>,
    R1: Dim,
    R2: Dim,
    SA: Storage<N, R1, C1>,
    SB: Storage<N, R2, C2>,
    DefaultAllocator: SameShapeAllocator<N, R2, C2, R1, C1>,
    ShapeConstraint: SameNumberOfRows<R2, R1>,
    ShapeConstraint: SameNumberOfColumns<C2, C1>, 
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impl<'a, 'b, N, R1, C1, R2, C2, SA, SB> Add<&'b Matrix<N, R2, C2, SB>> for &'a Matrix<N, R1, C1, SA> where
    C1: Dim,
    C2: Dim,
    N: Scalar + ClosedAdd<N>,
    R1: Dim,
    R2: Dim,
    SA: Storage<N, R1, C1>,
    SB: Storage<N, R2, C2>,
    DefaultAllocator: SameShapeAllocator<N, R1, C1, R2, C2>,
    ShapeConstraint: SameNumberOfRows<R1, R2>,
    ShapeConstraint: SameNumberOfColumns<C1, C2>, 
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impl<'b, N, R1, C1, R2, C2, SA, SB> Add<&'b Matrix<N, R2, C2, SB>> for Matrix<N, R1, C1, SA> where
    C1: Dim,
    C2: Dim,
    N: Scalar + ClosedAdd<N>,
    R1: Dim,
    R2: Dim,
    SA: Storage<N, R1, C1>,
    SB: Storage<N, R2, C2>,
    DefaultAllocator: SameShapeAllocator<N, R1, C1, R2, C2>,
    ShapeConstraint: SameNumberOfRows<R1, R2>,
    ShapeConstraint: SameNumberOfColumns<C1, C2>, 
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impl<N, R1, C1, R2, C2, SA, SB> Add<Matrix<N, R2, C2, SB>> for Matrix<N, R1, C1, SA> where
    C1: Dim,
    C2: Dim,
    N: Scalar + ClosedAdd<N>,
    R1: Dim,
    R2: Dim,
    SA: Storage<N, R1, C1>,
    SB: Storage<N, R2, C2>,
    DefaultAllocator: SameShapeAllocator<N, R1, C1, R2, C2>,
    ShapeConstraint: SameNumberOfRows<R1, R2>,
    ShapeConstraint: SameNumberOfColumns<C1, C2>, 
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impl<N, R, C, S> Debug for Matrix<N, R, C, S> where
    C: Dim + Debug,
    N: Scalar + Debug,
    R: Dim + Debug,
    S: Debug
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Formats the value using the given formatter.

impl<N, R, C> Lattice for Matrix<N, R, C, <DefaultAllocator as Allocator<N, R, C>>::Buffer> where
    C: Dim,
    N: Scalar + Lattice,
    R: Dim,
    DefaultAllocator: Allocator<N, R, C>, 
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impl<N, R, C> FiniteDimVectorSpace for Matrix<N, R, C, <DefaultAllocator as Allocator<N, R, C>>::Buffer> where
    C: DimName,
    N: Scalar + Field,
    R: DimName,
    DefaultAllocator: Allocator<N, R, C>, 
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impl<'b, N, R1, C1, R2, C2, SA, SB> AddAssign<&'b Matrix<N, R2, C2, SB>> for Matrix<N, R1, C1, SA> where
    C1: Dim,
    C2: Dim,
    N: Scalar + ClosedAdd<N>,
    R1: Dim,
    R2: Dim,
    SA: StorageMut<N, R1, C1>,
    SB: Storage<N, R2, C2>,
    ShapeConstraint: SameNumberOfRows<R1, R2>,
    ShapeConstraint: SameNumberOfColumns<C1, C2>, 
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impl<N, R1, C1, R2, C2, SA, SB> AddAssign<Matrix<N, R2, C2, SB>> for Matrix<N, R1, C1, SA> where
    C1: Dim,
    C2: Dim,
    N: Scalar + ClosedAdd<N>,
    R1: Dim,
    R2: Dim,
    SA: StorageMut<N, R1, C1>,
    SB: Storage<N, R2, C2>,
    ShapeConstraint: SameNumberOfRows<R1, R2>,
    ShapeConstraint: SameNumberOfColumns<C1, C2>, 
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impl<N, R, C> AbstractQuasigroup<Additive> for Matrix<N, R, C, <DefaultAllocator as Allocator<N, R, C>>::Buffer> where
    C: DimName,
    N: Scalar + AbstractQuasigroup<Additive> + ClosedAdd<N> + ClosedNeg,
    R: DimName,
    DefaultAllocator: Allocator<N, R, C>, 
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impl<N, R1, C1, R2, C2, SA, SB> SubAssign<Matrix<N, R2, C2, SB>> for Matrix<N, R1, C1, SA> where
    C1: Dim,
    C2: Dim,
    N: Scalar + ClosedSub<N>,
    R1: Dim,
    R2: Dim,
    SA: StorageMut<N, R1, C1>,
    SB: Storage<N, R2, C2>,
    ShapeConstraint: SameNumberOfRows<R1, R2>,
    ShapeConstraint: SameNumberOfColumns<C1, C2>, 
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impl<'b, N, R1, C1, R2, C2, SA, SB> SubAssign<&'b Matrix<N, R2, C2, SB>> for Matrix<N, R1, C1, SA> where
    C1: Dim,
    C2: Dim,
    N: Scalar + ClosedSub<N>,
    R1: Dim,
    R2: Dim,
    SA: StorageMut<N, R1, C1>,
    SB: Storage<N, R2, C2>,
    ShapeConstraint: SameNumberOfRows<R1, R2>,
    ShapeConstraint: SameNumberOfColumns<C1, C2>, 
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impl<N, R, C> AbstractGroup<Additive> for Matrix<N, R, C, <DefaultAllocator as Allocator<N, R, C>>::Buffer> where
    C: DimName,
    N: Scalar + AbstractGroup<Additive> + Zero + ClosedAdd<N> + ClosedNeg,
    R: DimName,
    DefaultAllocator: Allocator<N, R, C>, 
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impl<'a, N, R, C> Sum<&'a Matrix<N, R, C, <DefaultAllocator as Allocator<N, R, C>>::Buffer>> for Matrix<N, R, C, <DefaultAllocator as Allocator<N, R, C>>::Buffer> where
    C: DimName,
    N: Scalar + ClosedAdd<N> + Zero,
    R: DimName,
    DefaultAllocator: Allocator<N, R, C>, 
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impl<N, R, C> Sum<Matrix<N, R, C, <DefaultAllocator as Allocator<N, R, C>>::Buffer>> for Matrix<N, R, C, <DefaultAllocator as Allocator<N, R, C>>::Buffer> where
    C: DimName,
    N: Scalar + ClosedAdd<N> + Zero,
    R: DimName,
    DefaultAllocator: Allocator<N, R, C>, 
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impl<N, D> One for Matrix<N, D, D, <DefaultAllocator as Allocator<N, D, D>>::Buffer> where
    D: DimName,
    N: Scalar + Zero + One + ClosedMul<N> + ClosedAdd<N>,
    DefaultAllocator: Allocator<N, D, D>, 
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impl<N, R, C> AbstractModule<Additive, Additive, Multiplicative> for Matrix<N, R, C, <DefaultAllocator as Allocator<N, R, C>>::Buffer> where
    C: DimName,
    N: Scalar + RingCommutative,
    R: DimName,
    DefaultAllocator: Allocator<N, R, C>, 
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impl<N, R, C, S> Index<(usize, usize)> for Matrix<N, R, C, S> where
    C: Dim,
    N: Scalar,
    R: Dim,
    S: Storage<N, R, C>, 
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impl<N, R, C, S> Index<usize> for Matrix<N, R, C, S> where
    C: Dim,
    N: Scalar,
    R: Dim,
    S: Storage<N, R, C>, 
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impl<N, D> Identity<Multiplicative> for Matrix<N, D, D, <DefaultAllocator as Allocator<N, D, D>>::Buffer> where
    D: DimName,
    N: Scalar + Zero + One,
    DefaultAllocator: Allocator<N, D, D>, 
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impl<N, R, C> Identity<Additive> for Matrix<N, R, C, <DefaultAllocator as Allocator<N, R, C>>::Buffer> where
    C: DimName,
    N: Scalar + Zero,
    R: DimName,
    DefaultAllocator: Allocator<N, R, C>, 
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impl<N, R, C, S> Eq for Matrix<N, R, C, S> where
    C: Dim,
    N: Scalar + Eq,
    R: Dim,
    S: Storage<N, R, C>, 
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impl<N, S> Deref for Matrix<N, U3, U1, S> where
    N: Scalar,
    S: ContiguousStorage<N, U3, U1>, 
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impl<N, S> Deref for Matrix<N, U5, U3, S> where
    N: Scalar,
    S: ContiguousStorage<N, U5, U3>, 
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impl<N, S> Deref for Matrix<N, U6, U2, S> where
    N: Scalar,
    S: ContiguousStorage<N, U6, U2>, 
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impl<N, S> Deref for Matrix<N, U1, U3, S> where
    N: Scalar,
    S: ContiguousStorage<N, U1, U3>, 
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impl<N, S> Deref for Matrix<N, U3, U3, S> where
    N: Scalar,
    S: ContiguousStorage<N, U3, U3>, 
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impl<N, S> Deref for Matrix<N, U6, U4, S> where
    N: Scalar,
    S: ContiguousStorage<N, U6, U4>, 
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impl<N, S> Deref for Matrix<N, U3, U4, S> where
    N: Scalar,
    S: ContiguousStorage<N, U3, U4>, 
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impl<N, S> Deref for Matrix<N, U1, U2, S> where
    N: Scalar,
    S: ContiguousStorage<N, U1, U2>, 
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impl<N, S> Deref for Matrix<N, U1, U1, S> where
    N: Scalar,
    S: ContiguousStorage<N, U1, U1>, 
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impl<N, S> Deref for Matrix<N, U1, U5, S> where
    N: Scalar,
    S: ContiguousStorage<N, U1, U5>, 
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impl<N, S> Deref for Matrix<N, U4, U2, S> where
    N: Scalar,
    S: ContiguousStorage<N, U4, U2>, 
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impl<N, S> Deref for Matrix<N, U1, U6, S> where
    N: Scalar,
    S: ContiguousStorage<N, U1, U6>, 
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impl<N, S> Deref for Matrix<N, U2, U1, S> where
    N: Scalar,
    S: ContiguousStorage<N, U2, U1>, 
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impl<N, S> Deref for Matrix<N, U4, U6, S> where
    N: Scalar,
    S: ContiguousStorage<N, U4, U6>, 
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impl<N, S> Deref for Matrix<N, U4, U3, S> where
    N: Scalar,
    S: ContiguousStorage<N, U4, U3>, 
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impl<N, S> Deref for Matrix<N, U5, U5, S> where
    N: Scalar,
    S: ContiguousStorage<N, U5, U5>, 
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impl<N, S> Deref for Matrix<N, U6, U5, S> where
    N: Scalar,
    S: ContiguousStorage<N, U6, U5>, 
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impl<N, S> Deref for Matrix<N, U4, U1, S> where
    N: Scalar,
    S: ContiguousStorage<N, U4, U1>, 
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impl<N, S> Deref for Matrix<N, U2, U4, S> where
    N: Scalar,
    S: ContiguousStorage<N, U2, U4>, 
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impl<N, S> Deref for Matrix<N, U6, U6, S> where
    N: Scalar,
    S: ContiguousStorage<N, U6, U6>, 
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impl<N, S> Deref for Matrix<N, U5, U4, S> where
    N: Scalar,
    S: ContiguousStorage<N, U5, U4>, 
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impl<N, S> Deref for Matrix<N, U6, U3, S> where
    N: Scalar,
    S: ContiguousStorage<N, U6, U3>, 
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impl<N, S> Deref for Matrix<N, U2, U6, S> where
    N: Scalar,
    S: ContiguousStorage<N, U2, U6>, 
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impl<N, S> Deref for Matrix<N, U6, U1, S> where
    N: Scalar,
    S: ContiguousStorage<N, U6, U1>, 
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impl<N, S> Deref for Matrix<N, U3, U2, S> where
    N: Scalar,
    S: ContiguousStorage<N, U3, U2>, 
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impl<N, S> Deref for Matrix<N, U3, U6, S> where
    N: Scalar,
    S: ContiguousStorage<N, U3, U6>, 
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impl<N, S> Deref for Matrix<N, U2, U5, S> where
    N: Scalar,
    S: ContiguousStorage<N, U2, U5>, 
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impl<N, S> Deref for Matrix<N, U5, U2, S> where
    N: Scalar,
    S: ContiguousStorage<N, U5, U2>, 
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impl<N, S> Deref for Matrix<N, U5, U1, S> where
    N: Scalar,
    S: ContiguousStorage<N, U5, U1>, 
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impl<N, S> Deref for Matrix<N, U1, U4, S> where
    N: Scalar,
    S: ContiguousStorage<N, U1, U4>, 
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impl<N, S> Deref for Matrix<N, U5, U6, S> where
    N: Scalar,
    S: ContiguousStorage<N, U5, U6>, 
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impl<N, S> Deref for Matrix<N, U2, U3, S> where
    N: Scalar,
    S: ContiguousStorage<N, U2, U3>, 
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impl<N, S> Deref for Matrix<N, U4, U4, S> where
    N: Scalar,
    S: ContiguousStorage<N, U4, U4>, 
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impl<N, S> Deref for Matrix<N, U4, U5, S> where
    N: Scalar,
    S: ContiguousStorage<N, U4, U5>, 
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impl<N, S> Deref for Matrix<N, U2, U2, S> where
    N: Scalar,
    S: ContiguousStorage<N, U2, U2>, 
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impl<N, S> Deref for Matrix<N, U3, U5, S> where
    N: Scalar,
    S: ContiguousStorage<N, U3, U5>, 
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impl<N, R, C> AbstractGroupAbelian<Additive> for Matrix<N, R, C, <DefaultAllocator as Allocator<N, R, C>>::Buffer> where
    C: DimName,
    N: Scalar + AbstractGroupAbelian<Additive> + Zero + ClosedAdd<N> + ClosedNeg,
    R: DimName,
    DefaultAllocator: Allocator<N, R, C>, 
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impl<N, S> AsRef<[[N; 3]; 2]> for Matrix<N, U3, U2, S> where
    N: Scalar,
    S: ContiguousStorage<N, U3, U2>, 
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Performs the conversion.

impl<N, S> AsRef<[[N; 5]; 5]> for Matrix<N, U5, U5, S> where
    N: Scalar,
    S: ContiguousStorage<N, U5, U5>, 
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Performs the conversion.

impl<N, S> AsRef<[N; 1]> for Matrix<N, U1, U1, S> where
    N: Scalar,
    S: ContiguousStorage<N, U1, U1>, 
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Performs the conversion.

impl<N, S> AsRef<[[N; 6]; 5]> for Matrix<N, U6, U5, S> where
    N: Scalar,
    S: ContiguousStorage<N, U6, U5>, 
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Performs the conversion.

impl<N, S> AsRef<[N; 4]> for Matrix<N, U1, U4, S> where
    N: Scalar,
    S: ContiguousStorage<N, U1, U4>, 
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Performs the conversion.

impl<N, S> AsRef<[[N; 6]; 4]> for Matrix<N, U6, U4, S> where
    N: Scalar,
    S: ContiguousStorage<N, U6, U4>, 
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Performs the conversion.

impl<N, S> AsRef<[[N; 4]; 2]> for Matrix<N, U4, U2, S> where
    N: Scalar,
    S: ContiguousStorage<N, U4, U2>, 
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Performs the conversion.

impl<N, S> AsRef<[N; 12]> for Matrix<N, U12, U1, S> where
    N: Scalar,
    S: ContiguousStorage<N, U12, U1>, 
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Performs the conversion.

impl<N, S> AsRef<[N; 16]> for Matrix<N, U1, U16, S> where
    N: Scalar,
    S: ContiguousStorage<N, U1, U16>, 
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Performs the conversion.

impl<N, S> AsRef<[N; 7]> for Matrix<N, U1, U7, S> where
    N: Scalar,
    S: ContiguousStorage<N, U1, U7>, 
[src]

[src]

Performs the conversion.

impl<N, S> AsRef<[N; 3]> for Matrix<N, U1, U3, S> where
    N: Scalar,
    S: ContiguousStorage<N, U1, U3>, 
[src]

[src]

Performs the conversion.

impl<N, S> AsRef<[N; 6]> for Matrix<N, U1, U6, S> where
    N: Scalar,
    S: ContiguousStorage<N, U1, U6>, 
[src]

[src]

Performs the conversion.

impl<N, S> AsRef<[N; 10]> for Matrix<N, U1, U10, S> where
    N: Scalar,
    S: ContiguousStorage<N, U1, U10>, 
[src]

[src]

Performs the conversion.

impl<N, S> AsRef<[[N; 6]; 6]> for Matrix<N, U6, U6, S> where
    N: Scalar,
    S: ContiguousStorage<N, U6, U6>, 
[src]

[src]

Performs the conversion.

impl<N, S> AsRef<[[N; 3]; 5]> for Matrix<N, U3, U5, S> where
    N: Scalar,
    S: ContiguousStorage<N, U3, U5>, 
[src]

[src]

Performs the conversion.

impl<N, S> AsRef<[[N; 4]; 5]> for Matrix<N, U4, U5, S> where
    N: Scalar,
    S: ContiguousStorage<N, U4, U5>, 
[src]

[src]

Performs the conversion.

impl<N, S> AsRef<[[N; 2]; 6]> for Matrix<N, U2, U6, S> where
    N: Scalar,
    S: ContiguousStorage<N, U2, U6>, 
[src]

[src]

Performs the conversion.

impl<N, S> AsRef<[[N; 5]; 4]> for Matrix<N, U5, U4, S> where
    N: Scalar,
    S: ContiguousStorage<N, U5, U4>, 
[src]

[src]

Performs the conversion.

impl<N, S> AsRef<[N; 12]> for Matrix<N, U1, U12, S> where
    N: Scalar,
    S: ContiguousStorage<N, U1, U12>, 
[src]

[src]

Performs the conversion.

impl<N, S> AsRef<[[N; 6]; 2]> for Matrix<N, U6, U2, S> where
    N: Scalar,
    S: ContiguousStorage<N, U6, U2>, 
[src]

[src]

Performs the conversion.

impl<N, S> AsRef<[N; 14]> for Matrix<N, U14, U1, S> where
    N: Scalar,
    S: ContiguousStorage<N, U14, U1>, 
[src]

[src]

Performs the conversion.

impl<N, S> AsRef<[[N; 5]; 2]> for Matrix<N, U5, U2, S> where
    N: Scalar,
    S: ContiguousStorage<N, U5, U2>, 
[src]

[src]

Performs the conversion.

impl<N, S> AsRef<[N; 13]> for Matrix<N, U13, U1, S> where
    N: Scalar,
    S: ContiguousStorage<N, U13, U1>, 
[src]

[src]

Performs the conversion.

impl<N, S> AsRef<[N; 11]> for Matrix<N, U1, U11, S> where
    N: Scalar,
    S: ContiguousStorage<N, U1, U11>, 
[src]

[src]

Performs the conversion.

impl<N, S> AsRef<[N; 2]> for Matrix<N, U2, U1, S> where
    N: Scalar,
    S: ContiguousStorage<N, U2, U1>, 
[src]

[src]

Performs the conversion.

impl<N, S> AsRef<[N; 8]> for Matrix<N, U1, U8, S> where
    N: Scalar,
    S: ContiguousStorage<N, U1, U8>, 
[src]

[src]

Performs the conversion.

impl<N, S> AsRef<[[N; 6]; 3]> for Matrix<N, U6, U3, S> where
    N: Scalar,
    S: ContiguousStorage<N, U6, U3>, 
[src]

[src]

Performs the conversion.

impl<N, S> AsRef<[N; 7]> for Matrix<N, U7, U1, S> where
    N: Scalar,
    S: ContiguousStorage<N, U7, U1>, 
[src]

[src]

Performs the conversion.

impl<N, S> AsRef<[N; 5]> for Matrix<N, U5, U1, S> where
    N: Scalar,
    S: ContiguousStorage<N, U5, U1>, 
[src]

[src]

Performs the conversion.

impl<N, S> AsRef<[[N; 2]; 2]> for Matrix<N, U2, U2, S> where
    N: Scalar,
    S: ContiguousStorage<N, U2, U2>, 
[src]

[src]

Performs the conversion.

impl<N, S> AsRef<[[N; 2]; 5]> for Matrix<N, U2, U5, S> where
    N: Scalar,
    S: ContiguousStorage<N, U2, U5>, 
[src]

[src]

Performs the conversion.

impl<N, S> AsRef<[N; 15]> for Matrix<N, U15, U1, S> where
    N: Scalar,
    S: ContiguousStorage<N, U15, U1>, 
[src]

[src]

Performs the conversion.

impl<N, S> AsRef<[N; 10]> for Matrix<N, U10, U1, S> where
    N: Scalar,
    S: ContiguousStorage<N, U10, U1>, 
[src]

[src]

Performs the conversion.

impl<N, S> AsRef<[[N; 4]; 6]> for Matrix<N, U4, U6, S> where
    N: Scalar,
    S: ContiguousStorage<N, U4, U6>, 
[src]

[src]

Performs the conversion.

impl<N, S> AsRef<[N; 5]> for Matrix<N, U1, U5, S> where
    N: Scalar,
    S: ContiguousStorage<N, U1, U5>, 
[src]

[src]

Performs the conversion.

impl<N, S> AsRef<[[N; 3]; 4]> for Matrix<N, U3, U4, S> where
    N: Scalar,
    S: ContiguousStorage<N, U3, U4>, 
[src]

[src]

Performs the conversion.

impl<N, S> AsRef<[[N; 4]; 4]> for Matrix<N, U4, U4, S> where
    N: Scalar,
    S: ContiguousStorage<N, U4, U4>, 
[src]

[src]

Performs the conversion.

impl<N, S> AsRef<[N; 16]> for Matrix<N, U16, U1, S> where
    N: Scalar,
    S: ContiguousStorage<N, U16, U1>, 
[src]

[src]

Performs the conversion.

impl<N, S> AsRef<[N; 13]> for Matrix<N, U1, U13, S> where
    N: Scalar,
    S: ContiguousStorage<N, U1, U13>, 
[src]

[src]

Performs the conversion.

impl<N, S> AsRef<[[N; 2]; 4]> for Matrix<N, U2, U4, S> where
    N: Scalar,
    S: ContiguousStorage<N, U2, U4>, 
[src]

[src]

Performs the conversion.

impl<N, S> AsRef<[[N; 2]; 3]> for Matrix<N, U2, U3, S> where
    N: Scalar,
    S: ContiguousStorage<N, U2, U3>, 
[src]

[src]

Performs the conversion.

impl<N, S> AsRef<[[N; 5]; 3]> for Matrix<N, U5, U3, S> where
    N: Scalar,
    S: ContiguousStorage<N, U5, U3>, 
[src]

[src]

Performs the conversion.

impl<N, S> AsRef<[N; 9]> for Matrix<N, U9, U1, S> where
    N: Scalar,
    S: ContiguousStorage<N, U9, U1>, 
[src]

[src]

Performs the conversion.

impl<N, S> AsRef<[N; 8]> for Matrix<N, U8, U1, S> where
    N: Scalar,
    S: ContiguousStorage<N, U8, U1>, 
[src]

[src]

Performs the conversion.

impl<N, S> AsRef<[N; 15]> for Matrix<N, U1, U15, S> where
    N: Scalar,
    S: ContiguousStorage<N, U1, U15>, 
[src]

[src]

Performs the conversion.

impl<N, S> AsRef<[N; 2]> for Matrix<N, U1, U2, S> where
    N: Scalar,
    S: ContiguousStorage<N, U1, U2>, 
[src]

[src]

Performs the conversion.

impl<N, S> AsRef<[N; 14]> for Matrix<N, U1, U14, S> where
    N: Scalar,
    S: ContiguousStorage<N, U1, U14>, 
[src]

[src]

Performs the conversion.

impl<N, S> AsRef<[N; 4]> for Matrix<N, U4, U1, S> where
    N: Scalar,
    S: ContiguousStorage<N, U4, U1>, 
[src]

[src]

Performs the conversion.

impl<N, S> AsRef<[N; 9]> for Matrix<N, U1, U9, S> where
    N: Scalar,
    S: ContiguousStorage<N, U1, U9>, 
[src]

[src]

Performs the conversion.

impl<N, S> AsRef<[N; 3]> for Matrix<N, U3, U1, S> where
    N: Scalar,
    S: ContiguousStorage<N, U3, U1>, 
[src]

[src]

Performs the conversion.

impl<N, S> AsRef<[[N; 5]; 6]> for Matrix<N, U5, U6, S> where
    N: Scalar,
    S: ContiguousStorage<N, U5, U6>, 
[src]

[src]

Performs the conversion.

impl<N, S> AsRef<[N; 11]> for Matrix<N, U11, U1, S> where
    N: Scalar,
    S: ContiguousStorage<N, U11, U1>, 
[src]

[src]

Performs the conversion.

impl<N, S> AsRef<[N; 6]> for Matrix<N, U6, U1, S> where
    N: Scalar,
    S: ContiguousStorage<N, U6, U1>, 
[src]

[src]

Performs the conversion.

impl<N, S> AsRef<[[N; 4]; 3]> for Matrix<N, U4, U3, S> where
    N: Scalar,
    S: ContiguousStorage<N, U4, U3>, 
[src]

[src]

Performs the conversion.

impl<N, S> AsRef<[[N; 3]; 6]> for Matrix<N, U3, U6, S> where
    N: Scalar,
    S: ContiguousStorage<N, U3, U6>, 
[src]

[src]

Performs the conversion.

impl<N, S> AsRef<[[N; 3]; 3]> for Matrix<N, U3, U3, S> where
    N: Scalar,
    S: ContiguousStorage<N, U3, U3>, 
[src]

[src]

Performs the conversion.

impl<N, S> AsMut<[N; 15]> for Matrix<N, U15, U1, S> where
    N: Scalar,
    S: ContiguousStorageMut<N, U15, U1>, 
[src]

[src]

impl<N, S> AsMut<[N; 11]> for Matrix<N, U1, U11, S> where
    N: Scalar,
    S: ContiguousStorageMut<N, U1, U11>, 
[src]

[src]

impl<N, S> AsMut<[[N; 6]; 3]> for Matrix<N, U6, U3, S> where
    N: Scalar,
    S: ContiguousStorageMut<N, U6, U3>, 
[src]

[src]

impl<N, S> AsMut<[N; 6]> for Matrix<N, U1, U6, S> where
    N: Scalar,
    S: ContiguousStorageMut<N, U1, U6>, 
[src]

[src]

impl<N, S> AsMut<[N; 16]> for Matrix<N, U16, U1, S> where
    N: Scalar,
    S: ContiguousStorageMut<N, U16, U1>, 
[src]

[src]

impl<N, S> AsMut<[[N; 2]; 2]> for Matrix<N, U2, U2, S> where
    N: Scalar,
    S: ContiguousStorageMut<N, U2, U2>, 
[src]

[src]

impl<N, S> AsMut<[[N; 2]; 5]> for Matrix<N, U2, U5, S> where
    N: Scalar,
    S: ContiguousStorageMut<N, U2, U5>, 
[src]

[src]

impl<N, S> AsMut<[[N; 3]; 4]> for Matrix<N, U3, U4, S> where
    N: Scalar,
    S: ContiguousStorageMut<N, U3, U4>, 
[src]

[src]

impl<N, S> AsMut<[N; 3]> for Matrix<N, U1, U3, S> where
    N: Scalar,
    S: ContiguousStorageMut<N, U1, U3>, 
[src]

[src]

impl<N, S> AsMut<[[N; 3]; 2]> for Matrix<N, U3, U2, S> where
    N: Scalar,
    S: ContiguousStorageMut<N, U3, U2>, 
[src]

[src]

impl<N, S> AsMut<[[N; 2]; 4]> for Matrix<N, U2, U4, S> where
    N: Scalar,
    S: ContiguousStorageMut<N, U2, U4>, 
[src]

[src]

impl<N, S> AsMut<[N; 12]> for Matrix<N, U1, U12, S> where
    N: Scalar,
    S: ContiguousStorageMut<N, U1, U12>, 
[src]

[src]

impl<N, S> AsMut<[N; 10]> for Matrix<N, U1, U10, S> where
    N: Scalar,
    S: ContiguousStorageMut<N, U1, U10>, 
[src]

[src]

impl<N, S> AsMut<[N; 2]> for Matrix<N, U1, U2, S> where
    N: Scalar,
    S: ContiguousStorageMut<N, U1, U2>, 
[src]

[src]

impl<N, S> AsMut<[N; 12]> for Matrix<N, U12, U1, S> where
    N: Scalar,
    S: ContiguousStorageMut<N, U12, U1>, 
[src]

[src]

impl<N, S> AsMut<[[N; 3]; 6]> for Matrix<N, U3, U6, S> where
    N: Scalar,
    S: ContiguousStorageMut<N, U3, U6>, 
[src]

[src]

impl<N, S> AsMut<[[N; 3]; 3]> for Matrix<N, U3, U3, S> where
    N: Scalar,
    S: ContiguousStorageMut<N, U3, U3>, 
[src]

[src]

impl<N, S> AsMut<[N; 9]> for Matrix<N, U9, U1, S> where
    N: Scalar,
    S: ContiguousStorageMut<N, U9, U1>, 
[src]

[src]

impl<N, S> AsMut<[N; 4]> for Matrix<N, U4, U1, S> where
    N: Scalar,
    S: ContiguousStorageMut<N, U4, U1>, 
[src]

[src]

impl<N, S> AsMut<[N; 4]> for Matrix<N, U1, U4, S> where
    N: Scalar,
    S: ContiguousStorageMut<N, U1, U4>, 
[src]

[src]

impl<N, S> AsMut<[[N; 5]; 2]> for Matrix<N, U5, U2, S> where
    N: Scalar,
    S: ContiguousStorageMut<N, U5, U2>, 
[src]

[src]

impl<N, S> AsMut<[[N; 6]; 5]> for Matrix<N, U6, U5, S> where
    N: Scalar,
    S: ContiguousStorageMut<N, U6, U5>, 
[src]

[src]

impl<N, S> AsMut<[[N; 4]; 3]> for Matrix<N, U4, U3, S> where
    N: Scalar,
    S: ContiguousStorageMut<N, U4, U3>, 
[src]

[src]

impl<N, S> AsMut<[N; 2]> for Matrix<N, U2, U1, S> where
    N: Scalar,
    S: ContiguousStorageMut<N, U2, U1>, 
[src]

[src]

impl<N, S> AsMut<[N; 8]> for Matrix<N, U8, U1, S> where
    N: Scalar,
    S: ContiguousStorageMut<N, U8, U1>, 
[src]

[src]

impl<N, S> AsMut<[N; 16]> for Matrix<N, U1, U16, S> where
    N: Scalar,
    S: ContiguousStorageMut<N, U1, U16>, 
[src]

[src]

impl<N, S> AsMut<[N; 5]> for Matrix<N, U1, U5, S> where
    N: Scalar,
    S: ContiguousStorageMut<N, U1, U5>, 
[src]

[src]

impl<N, S> AsMut<[N; 9]> for Matrix<N, U1, U9, S> where
    N: Scalar,
    S: ContiguousStorageMut<N, U1, U9>, 
[src]

[src]

impl<N, S> AsMut<[N; 7]> for Matrix<N, U7, U1, S> where
    N: Scalar,
    S: ContiguousStorageMut<N, U7, U1>, 
[src]

[src]

impl<N, S> AsMut<[N; 13]> for Matrix<N, U1, U13, S> where
    N: Scalar,
    S: ContiguousStorageMut<N, U1, U13>, 
[src]

[src]

impl<N, S> AsMut<[[N; 4]; 2]> for Matrix<N, U4, U2, S> where
    N: Scalar,
    S: ContiguousStorageMut<N, U4, U2>, 
[src]

[src]

impl<N, S> AsMut<[N; 14]> for Matrix<N, U1, U14, S> where
    N: Scalar,
    S: ContiguousStorageMut<N, U1, U14>, 
[src]

[src]

impl<N, S> AsMut<[[N; 4]; 4]> for Matrix<N, U4, U4, S> where
    N: Scalar,
    S: ContiguousStorageMut<N, U4, U4>, 
[src]

[src]

impl<N, S> AsMut<[[N; 5]; 4]> for Matrix<N, U5, U4, S> where
    N: Scalar,
    S: ContiguousStorageMut<N, U5, U4>, 
[src]

[src]

impl<N, S> AsMut<[[N; 5]; 3]> for Matrix<N, U5, U3, S> where
    N: Scalar,
    S: ContiguousStorageMut<N, U5, U3>, 
[src]

[src]

impl<N, S> AsMut<[[N; 3]; 5]> for Matrix<N, U3, U5, S> where
    N: Scalar,
    S: ContiguousStorageMut<N, U3, U5>, 
[src]

[src]

impl<N, S> AsMut<[[N; 6]; 6]> for Matrix<N, U6, U6, S> where
    N: Scalar,
    S: ContiguousStorageMut<N, U6, U6>, 
[src]

[src]

impl<N, S> AsMut<[N; 15]> for Matrix<N, U1, U15, S> where
    N: Scalar,
    S: ContiguousStorageMut<N, U1, U15>, 
[src]

[src]

impl<N, S> AsMut<[[N; 5]; 6]> for Matrix<N, U5, U6, S> where
    N: Scalar,
    S: ContiguousStorageMut<N, U5, U6>, 
[src]

[src]

impl<N, S> AsMut<[N; 11]> for Matrix<N, U11, U1, S> where
    N: Scalar,
    S: ContiguousStorageMut<N, U11, U1>, 
[src]

[src]

impl<N, S> AsMut<[N; 10]> for Matrix<N, U10, U1, S> where
    N: Scalar,
    S: ContiguousStorageMut<N, U10, U1>, 
[src]

[src]

impl<N, S> AsMut<[[N; 4]; 5]> for Matrix<N, U4, U5, S> where
    N: Scalar,
    S: ContiguousStorageMut<N, U4, U5>, 
[src]

[src]

impl<N, S> AsMut<[N; 1]> for Matrix<N, U1, U1, S> where
    N: Scalar,
    S: ContiguousStorageMut<N, U1, U1>, 
[src]

[src]

impl<N, S> AsMut<[N; 7]> for Matrix<N, U1, U7, S> where
    N: Scalar,
    S: ContiguousStorageMut<N, U1, U7>, 
[src]

[src]

impl<N, S> AsMut<[N; 6]> for Matrix<N, U6, U1, S> where
    N: Scalar,
    S: ContiguousStorageMut<N, U6, U1>, 
[src]

[src]

impl<N, S> AsMut<[N; 8]> for Matrix<N, U1, U8, S> where
    N: Scalar,
    S: ContiguousStorageMut<N, U1, U8>, 
[src]

[src]

impl<N, S> AsMut<[[N; 5]; 5]> for Matrix<N, U5, U5, S> where
    N: Scalar,
    S: ContiguousStorageMut<N, U5, U5>, 
[src]

[src]

impl<N, S> AsMut<[N; 13]> for Matrix<N, U13, U1, S> where
    N: Scalar,
    S: ContiguousStorageMut<N, U13, U1>, 
[src]

[src]

impl<N, S> AsMut<[N; 3]> for Matrix<N, U3, U1, S> where
    N: Scalar,
    S: ContiguousStorageMut<N, U3, U1>, 
[src]

[src]

impl<N, S> AsMut<[[N; 2]; 6]> for Matrix<N, U2, U6, S> where
    N: Scalar,
    S: ContiguousStorageMut<N, U2, U6>, 
[src]

[src]

impl<N, S> AsMut<[[N; 6]; 4]> for Matrix<N, U6, U4, S> where
    N: Scalar,
    S: ContiguousStorageMut<N, U6, U4>, 
[src]

[src]

impl<N, S> AsMut<[N; 5]> for Matrix<N, U5, U1, S> where
    N: Scalar,
    S: ContiguousStorageMut<N, U5, U1>, 
[src]

[src]

impl<N, S> AsMut<[[N; 4]; 6]> for Matrix<N, U4, U6, S> where
    N: Scalar,
    S: ContiguousStorageMut<N, U4, U6>, 
[src]

[src]

impl<N, S> AsMut<[N; 14]> for Matrix<N, U14, U1, S> where
    N: Scalar,
    S: ContiguousStorageMut<N, U14, U1>, 
[src]

[src]

impl<N, S> AsMut<[[N; 6]; 2]> for Matrix<N, U6, U2, S> where
    N: Scalar,
    S: ContiguousStorageMut<N, U6, U2>, 
[src]

[src]

impl<N, S> AsMut<[[N; 2]; 3]> for Matrix<N, U2, U3, S> where
    N: Scalar,
    S: ContiguousStorageMut<N, U2, U3>, 
[src]

[src]

impl<N, R, C> Zero for Matrix<N, R, C, <DefaultAllocator as Allocator<N, R, C>>::Buffer> where
    C: DimName,
    N: Scalar + Zero + ClosedAdd<N>,
    R: DimName,
    DefaultAllocator: Allocator<N, R, C>, 
[src]

[src]

[src]

impl<'b, N, R1, C1, R2, SA, SB> MulAssign<&'b Matrix<N, R2, C1, SB>> for Matrix<N, R1, C1, SA> where
    C1: Dim,
    N: Scalar + Zero + One + ClosedAdd<N> + ClosedMul<N>,
    R1: Dim,
    R2: Dim,
    SA: ContiguousStorageMut<N, R1, C1> + Clone,
    SB: Storage<N, R2, C1>,
    ShapeConstraint: AreMultipliable<R1, C1, R2, C1>,
    DefaultAllocator: Allocator<N, R1, C1>,
    <DefaultAllocator as Allocator<N, R1, C1>>::Buffer == SA, 
[src]

[src]

impl<N, R1, C1, R2, SA, SB> MulAssign<Matrix<N, R2, C1, SB>> for Matrix<N, R1, C1, SA> where
    C1: Dim,
    N: Scalar + Zero + One + ClosedAdd<N> + ClosedMul<N>,
    R1: Dim,
    R2: Dim,
    SA: ContiguousStorageMut<N, R1, C1> + Clone,
    SB: Storage<N, R2, C1>,
    ShapeConstraint: AreMultipliable<R1, C1, R2, C1>,
    DefaultAllocator: Allocator<N, R1, C1>,
    <DefaultAllocator as Allocator<N, R1, C1>>::Buffer == SA, 
[src]

[src]

impl<N, R, C, S> MulAssign<N> for Matrix<N, R, C, S> where
    C: Dim,
    N: Scalar + ClosedMul<N>,
    R: Dim,
    S: StorageMut<N, R, C>, 
[src]

[src]

impl<N, R1, C1> MulAssign<Rotation<N, C1>> for Matrix<N, R1, C1, <DefaultAllocator as Allocator<N, R1, C1>>::Buffer> where
    C1: DimName,
    N: Scalar + Zero + One + ClosedAdd<N> + ClosedMul<N>,
    R1: DimName,
    DefaultAllocator: Allocator<N, R1, C1>,
    DefaultAllocator: Allocator<N, C1, C1>, 
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impl<'b, N, R1, C1> MulAssign<&'b Rotation<N, C1>> for Matrix<N, R1, C1, <DefaultAllocator as Allocator<N, R1, C1>>::Buffer> where
    C1: DimName,
    N: Scalar + Zero + One + ClosedAdd<N> + ClosedMul<N>,
    R1: DimName,
    DefaultAllocator: Allocator<N, R1, C1>,
    DefaultAllocator: Allocator<N, C1, C1>, 
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impl<N, R, C> AbstractMagma<Additive> for Matrix<N, R, C, <DefaultAllocator as Allocator<N, R, C>>::Buffer> where
    C: DimName,
    N: Scalar + ClosedAdd<N>,
    R: DimName,
    DefaultAllocator: Allocator<N, R, C>, 
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impl<N, D> AbstractMagma<Multiplicative> for Matrix<N, D, D, <DefaultAllocator as Allocator<N, D, D>>::Buffer> where
    D: DimName,
    N: Scalar + Zero + One + ClosedAdd<N> + ClosedMul<N>,
    DefaultAllocator: Allocator<N, D, D>, 
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impl<'a, 'b, N, R1, C1, D2, SA> Mul<&'b Rotation<N, D2>> for &'a Matrix<N, R1, C1, SA> where
    C1: Dim,
    D2: DimName,
    N: Scalar + Zero + One + ClosedAdd<N> + ClosedMul<N>,
    R1: Dim,
    SA: Storage<N, R1, C1>,
    DefaultAllocator: Allocator<N, R1, C1>,
    DefaultAllocator: Allocator<N, D2, D2>,
    DefaultAllocator: Allocator<N, R1, D2>,
    DefaultAllocator: Allocator<N, R1, D2>,
    ShapeConstraint: AreMultipliable<R1, C1, D2, D2>, 
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impl<N, R1, C1, D2, SA> Mul<Point<N, D2>> for Matrix<N, R1, C1, SA> where
    C1: Dim,
    D2: DimName,
    N: Scalar + Zero + One + ClosedAdd<N> + ClosedMul<N>,
    R1: DimName,
    SA: Storage<N, R1, C1>,
    DefaultAllocator: Allocator<N, R1, C1>,
    DefaultAllocator: Allocator<N, D2, U1>,
    DefaultAllocator: Allocator<N, R1, U1>,
    ShapeConstraint: AreMultipliable<R1, C1, D2, U1>, 
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impl<N, R1, C1, D2, SA> Mul<Rotation<N, D2>> for Matrix<N, R1, C1, SA> where
    C1: Dim,
    D2: DimName,
    N: Scalar + Zero + One + ClosedAdd<N> + ClosedMul<N>,
    R1: Dim,
    SA: Storage<N, R1, C1>,
    DefaultAllocator: Allocator<N, R1, C1>,
    DefaultAllocator: Allocator<N, D2, D2>,
    DefaultAllocator: Allocator<N, R1, D2>,
    DefaultAllocator: Allocator<N, R1, D2>,
    ShapeConstraint: AreMultipliable<R1, C1, D2, D2>, 
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impl<'a, N, R, C, S> Mul<N> for &'a Matrix<N, R, C, S> where
    C: Dim,
    N: Scalar + ClosedMul<N>,
    R: Dim,
    S: Storage<N, R, C>,
    DefaultAllocator: Allocator<N, R, C>, 
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impl<N, R, C, S> Mul<N> for Matrix<N, R, C, S> where
    C: Dim,
    N: Scalar + ClosedMul<N>,
    R: Dim,
    S: Storage<N, R, C>,
    DefaultAllocator: Allocator<N, R, C>, 
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impl<'b, N, R1, C1, D2, SA> Mul<&'b Rotation<N, D2>> for Matrix<N, R1, C1, SA> where
    C1: Dim,
    D2: DimName,
    N: Scalar + Zero + One + ClosedAdd<N> + ClosedMul<N>,
    R1: Dim,
    SA: Storage<N, R1, C1>,
    DefaultAllocator: Allocator<N, R1, C1>,
    DefaultAllocator: Allocator<N, D2, D2>,
    DefaultAllocator: Allocator<N, R1, D2>,
    DefaultAllocator: Allocator<N, R1, D2>,
    ShapeConstraint: AreMultipliable<R1, C1, D2, D2>, 
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impl<'a, N, R1, C1, D2, SA> Mul<Rotation<N, D2>> for &'a Matrix<N, R1, C1, SA> where
    C1: Dim,
    D2: DimName,
    N: Scalar + Zero + One + ClosedAdd<N> + ClosedMul<N>,
    R1: Dim,
    SA: Storage<N, R1, C1>,
    DefaultAllocator: Allocator<N, R1, C1>,
    DefaultAllocator: Allocator<N, D2, D2>,
    DefaultAllocator: Allocator<N, R1, D2>,
    DefaultAllocator: Allocator<N, R1, D2>,
    ShapeConstraint: AreMultipliable<R1, C1, D2, D2>, 
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impl<'b, N, R1, C1, R2, C2, SA, SB> Mul<&'b Matrix<N, R2, C2, SB>> for Matrix<N, R1, C1, SA> where
    C1: Dim,
    C2: Dim,
    N: Scalar + Zero + One + ClosedAdd<N> + ClosedMul<N>,
    R1: Dim,
    R2: Dim,
    SA: Storage<N, R1, C1>,
    SB: Storage<N, R2, C2>,
    DefaultAllocator: Allocator<N, R1, C2>,
    ShapeConstraint: AreMultipliable<R1, C1, R2, C2>, 
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impl<N, R1, C1, R2, C2, SA, SB> Mul<Matrix<N, R2, C2, SB>> for Matrix<N, R1, C1, SA> where
    C1: Dim,
    C2: Dim,
    N: Scalar + Zero + One + ClosedAdd<N> + ClosedMul<N>,
    R1: Dim,
    R2: Dim,
    SA: Storage<N, R1, C1>,
    SB: Storage<N, R2, C2>,
    DefaultAllocator: Allocator<N, R1, C2>,
    ShapeConstraint: AreMultipliable<R1, C1, R2, C2>, 
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impl<'a, 'b, N, R1, C1, R2, C2, SA, SB> Mul<&'b Matrix<N, R2, C2, SB>> for &'a Matrix<N, R1, C1, SA> where
    C1: Dim,
    C2: Dim,
    N: Scalar + Zero + One + ClosedAdd<N> + ClosedMul<N>,
    R1: Dim,
    R2: Dim,
    SA: Storage<N, R1, C1>,
    SB: Storage<N, R2, C2>,
    DefaultAllocator: Allocator<N, R1, C2>,
    ShapeConstraint: AreMultipliable<R1, C1, R2, C2>, 
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impl<'b, N, R1, C1, D2, SA> Mul<&'b Point<N, D2>> for Matrix<N, R1, C1, SA> where
    C1: Dim,
    D2: DimName,
    N: Scalar + Zero + One + ClosedAdd<N> + ClosedMul<N>,
    R1: DimName,
    SA: Storage<N, R1, C1>,
    DefaultAllocator: Allocator<N, R1, C1>,
    DefaultAllocator: Allocator<N, D2, U1>,
    DefaultAllocator: Allocator<N, R1, U1>,
    ShapeConstraint: AreMultipliable<R1, C1, D2, U1>, 
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impl<'a, N, R1, C1, R2, C2, SA, SB> Mul<Matrix<N, R2, C2, SB>> for &'a Matrix<N, R1, C1, SA> where
    C1: Dim,
    C2: Dim,
    N: Scalar + Zero + One + ClosedAdd<N> + ClosedMul<N>,
    R1: Dim,
    R2: Dim,
    SA: Storage<N, R1, C1>,
    SB: Storage<N, R2, C2>,
    DefaultAllocator: Allocator<N, R1, C2>,
    ShapeConstraint: AreMultipliable<R1, C1, R2, C2>, 
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impl<'a, 'b, N, R1, C1, D2, SA> Mul<&'b Point<N, D2>> for &'a Matrix<N, R1, C1, SA> where
    C1: Dim,
    D2: DimName,
    N: Scalar + Zero + One + ClosedAdd<N> + ClosedMul<N>,
    R1: DimName,
    SA: Storage<N, R1, C1>,
    DefaultAllocator: Allocator<N, R1, C1>,
    DefaultAllocator: Allocator<N, D2, U1>,
    DefaultAllocator: Allocator<N, R1, U1>,
    ShapeConstraint: AreMultipliable<R1, C1, D2, U1>, 
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impl<'a, N, R1, C1, D2, SA> Mul<Point<N, D2>> for &'a Matrix<N, R1, C1, SA> where
    C1: Dim,
    D2: DimName,
    N: Scalar + Zero + One + ClosedAdd<N> + ClosedMul<N>,
    R1: DimName,
    SA: Storage<N, R1, C1>,
    DefaultAllocator: Allocator<N, R1, C1>,
    DefaultAllocator: Allocator<N, D2, U1>,
    DefaultAllocator: Allocator<N, R1, U1>,
    ShapeConstraint: AreMultipliable<R1, C1, D2, U1>, 
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impl<N, R, C> Module for Matrix<N, R, C, <DefaultAllocator as Allocator<N, R, C>>::Buffer> where
    C: DimName,
    N: Scalar + RingCommutative,
    R: DimName,
    DefaultAllocator: Allocator<N, R, C>, 
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impl<N, R, C, S> IndexMut<(usize, usize)> for Matrix<N, R, C, S> where
    C: Dim,
    N: Scalar,
    R: Dim,
    S: StorageMut<N, R, C>, 
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impl<N, R, C, S> IndexMut<usize> for Matrix<N, R, C, S> where
    C: Dim,
    N: Scalar,
    R: Dim,
    S: StorageMut<N, R, C>, 
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impl<'a, 'b, N, R1, C1, R2, C2, SA, SB> Sub<&'b Matrix<N, R2, C2, SB>> for &'a Matrix<N, R1, C1, SA> where
    C1: Dim,
    C2: Dim,
    N: Scalar + ClosedSub<N>,
    R1: Dim,
    R2: Dim,
    SA: Storage<N, R1, C1>,
    SB: Storage<N, R2, C2>,
    DefaultAllocator: SameShapeAllocator<N, R1, C1, R2, C2>,
    ShapeConstraint: SameNumberOfRows<R1, R2>,
    ShapeConstraint: SameNumberOfColumns<C1, C2>, 
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impl<'b, N, R1, C1, R2, C2, SA, SB> Sub<&'b Matrix<N, R2, C2, SB>> for Matrix<N, R1, C1, SA> where
    C1: Dim,
    C2: Dim,
    N: Scalar + ClosedSub<N>,
    R1: Dim,
    R2: Dim,
    SA: Storage<N, R1, C1>,
    SB: Storage<N, R2, C2>,
    DefaultAllocator: SameShapeAllocator<N, R1, C1, R2, C2>,
    ShapeConstraint: SameNumberOfRows<R1, R2>,
    ShapeConstraint: SameNumberOfColumns<C1, C2>, 
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impl<'a, N, R1, C1, R2, C2, SA, SB> Sub<Matrix<N, R2, C2, SB>> for &'a Matrix<N, R1, C1, SA> where
    C1: Dim,
    C2: Dim,
    N: Scalar + ClosedSub<N>,
    R1: Dim,
    R2: Dim,
    SA: Storage<N, R1, C1>,
    SB: Storage<N, R2, C2>,
    DefaultAllocator: SameShapeAllocator<N, R2, C2, R1, C1>,
    ShapeConstraint: SameNumberOfRows<R2, R1>,
    ShapeConstraint: SameNumberOfColumns<C2, C1>, 
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impl<N, R1, C1, R2, C2, SA, SB> Sub<Matrix<N, R2, C2, SB>> for Matrix<N, R1, C1, SA> where
    C1: Dim,
    C2: Dim,
    N: Scalar + ClosedSub<N>,
    R1: Dim,
    R2: Dim,
    SA: Storage<N, R1, C1>,
    SB: Storage<N, R2, C2>,
    DefaultAllocator: SameShapeAllocator<N, R1, C1, R2, C2>,
    ShapeConstraint: SameNumberOfRows<R1, R2>,
    ShapeConstraint: SameNumberOfColumns<C1, C2>, 
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impl<N, R, C> JoinSemilattice for Matrix<N, R, C, <DefaultAllocator as Allocator<N, R, C>>::Buffer> where
    C: Dim,
    N: Scalar + JoinSemilattice,
    R: Dim,
    DefaultAllocator: Allocator<N, R, C>, 
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impl<N, R, C, S> Display for Matrix<N, R, C, S> where
    C: Dim,
    N: Scalar + Display,
    R: Dim,
    S: Storage<N, R, C>,
    DefaultAllocator: Allocator<usize, R, C>, 
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