Module na::base

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[Reexported at the root of this crate.] Data structures for vector and matrix computations.

Modules

Abstract definition of a matrix data storage allocator.

Compatibility constraints between matrix shapes, e.g., for addition or multiplication.

Structures to which matrices and vector can be auto-dereferenced (through Deref) to access components using their names. For example, if v is a 3D vector, one can write v.z instead of v[2].

The default matrix data storage allocator.

Traits and tags for identifying the dimension of all algebraic entities.

Indexing

Matrix iterators.

Abstract definition of a matrix data storage.

Mechanisms for working with values that may not be initialized.

Structs

A array-based statically sized matrix data storage.

An allocator based on GenericArray and VecStorage for statically-sized and dynamically-sized matrices respectively.

Dim of dynamically-sized algebraic entities.

Euclidean norm.

Lp norm.

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

A matrix data storage for a matrix slice. Only contains an internal reference to another matrix data storage.

A mutable matrix data storage for mutable matrix slice. Only contains an internal mutable reference to another matrix data storage.

L-infinite norm aka. Chebytchev norm aka. uniform norm aka. suppremum norm.

A wrapper that ensures the underlying algebraic entity has a unit norm.

A Vec-based matrix data storage. It may be dynamically-sized.

Traits

Trait implemented by any type that can be used as a dimension. This includes type-level integers and Dynamic (for dimensions not known at compile-time).

Trait implemented exclusively by type-level integers.

Marker trait indicating that a storage is stored contiguously in memory.

Trait implemented by Dynamic.

Trait implemented by Dynamic and type-level integers different from U1.

A trait for abstract matrix norms.

Trait implemented by entities scan be be normalized and put in an Unit struct.

The trait shared by all matrix data storage.

Trait implemented by matrix data storage that can provide a mutable access to its elements.

A matrix storage that can be reshaped in-place.

The basic scalar type for all structures of nalgebra.

A range with a size that may be known at compile-time.

Trait shared by all matrix data storage that don’t contain any uninitialized elements.

Trait shared by all mutable matrix data storage that don’t contain any uninitialized elements.

Type Definitions

The column-stride of the owned data storage for a buffer of dimension (R, C).

A dynamically sized column-major matrix.

A column-major matrix slice dynamic numbers of rows and columns.

A column-major matrix slice dynamic numbers of rows and columns.

A dynamically sized column vector.

A column vector slice dynamic numbers of rows and columns.

A column vector slice dynamic numbers of rows and columns.

A stack-allocated, column-major, 1x1 square matrix.

A stack-allocated, column-major, 1x2 matrix.

A stack-allocated, column-major, 1x3 matrix.

A stack-allocated, column-major, 1x4 matrix.

A stack-allocated, column-major, 1x5 matrix.

A stack-allocated, column-major, 1x6 matrix.

A heap-allocated, row-major, matrix with 1 rows and a dynamic number of columns.

A stack-allocated, column-major, 2x2 square matrix.

A stack-allocated, column-major, 2x1 matrix.

A stack-allocated, column-major, 2x3 matrix.

A stack-allocated, column-major, 2x4 matrix.

A stack-allocated, column-major, 2x5 matrix.

A stack-allocated, column-major, 2x6 matrix.

A heap-allocated, row-major, matrix with 2 rows and a dynamic number of columns.

A stack-allocated, column-major, 3x3 square matrix.

A stack-allocated, column-major, 3x1 matrix.

A stack-allocated, column-major, 3x2 matrix.

A stack-allocated, column-major, 3x4 matrix.

A stack-allocated, column-major, 3x5 matrix.

A stack-allocated, column-major, 3x6 matrix.

A heap-allocated, row-major, matrix with 3 rows and a dynamic number of columns.

A stack-allocated, column-major, 4x4 square matrix.

A stack-allocated, column-major, 4x1 matrix.

A stack-allocated, column-major, 4x2 matrix.

A stack-allocated, column-major, 4x3 matrix.

A stack-allocated, column-major, 4x5 matrix.

A stack-allocated, column-major, 4x6 matrix.

A heap-allocated, row-major, matrix with 4 rows and a dynamic number of columns.

A stack-allocated, column-major, 5x5 square matrix.

A stack-allocated, column-major, 5x1 matrix.

A stack-allocated, column-major, 5x2 matrix.

A stack-allocated, column-major, 5x3 matrix.

A stack-allocated, column-major, 5x4 matrix.

A stack-allocated, column-major, 5x6 matrix.

A heap-allocated, row-major, matrix with 5 rows and a dynamic number of columns.

A stack-allocated, column-major, 6x6 square matrix.

A stack-allocated, column-major, 6x1 matrix.

A stack-allocated, column-major, 6x2 matrix.

A stack-allocated, column-major, 6x3 matrix.

A stack-allocated, column-major, 6x4 matrix.

A stack-allocated, column-major, 6x5 matrix.

A heap-allocated, row-major, matrix with 6 rows and a dynamic number of columns.

The type of the result of a matrix cross product.

MatrixMNDeprecated

An owned matrix column-major matrix with R rows and C columns.

MatrixNDeprecated

An owned matrix column-major matrix with D columns.

A matrix slice.

A column-major 1x1 matrix slice.

A column-major 1x2 matrix slice.

A column-major 1x3 matrix slice.

A column-major 1x4 matrix slice.

A column-major 1x5 matrix slice.

A column-major 1x6 matrix slice.

A column-major matrix slice with 1 row and a number of columns chosen at runtime.

A column-major 2x2 matrix slice.

A column-major 2x1 matrix slice.

A column-major 2x3 matrix slice.

A column-major 2x4 matrix slice.

A column-major 2x5 matrix slice.

A column-major 2x6 matrix slice.

A column-major matrix slice with 2 rows and a number of columns chosen at runtime.

A column-major 3x3 matrix slice.

A column-major 3x1 matrix slice.

A column-major 3x2 matrix slice.

A column-major 3x4 matrix slice.

A column-major 3x5 matrix slice.

A column-major 3x6 matrix slice.

A column-major matrix slice with 3 rows and a number of columns chosen at runtime.

A column-major 4x4 matrix slice.

A column-major 4x1 matrix slice.

A column-major 4x2 matrix slice.

A column-major 4x3 matrix slice.

A column-major 4x5 matrix slice.

A column-major 4x6 matrix slice.

A column-major matrix slice with 4 rows and a number of columns chosen at runtime.

A column-major 5x5 matrix slice.

A column-major 5x1 matrix slice.

A column-major 5x2 matrix slice.

A column-major 5x3 matrix slice.

A column-major 5x4 matrix slice.

A column-major 5x6 matrix slice.

A column-major matrix slice with 5 rows and a number of columns chosen at runtime.

A column-major 6x6 matrix slice.

A column-major 6x1 matrix slice.

A column-major 6x2 matrix slice.

A column-major 6x3 matrix slice.

A column-major 6x4 matrix slice.

A column-major 6x5 matrix slice.

A column-major matrix slice with 6 rows and a number of columns chosen at runtime.

A mutable matrix slice.

A column-major 1x1 matrix slice.

A column-major 1x2 matrix slice.

A column-major 1x3 matrix slice.

A column-major 1x4 matrix slice.

A column-major 1x5 matrix slice.

A column-major 1x6 matrix slice.

A column-major matrix slice with 1 row and a number of columns chosen at runtime.

A column-major 2x2 matrix slice.

A column-major 2x1 matrix slice.

A column-major 2x3 matrix slice.

A column-major 2x4 matrix slice.

A column-major 2x5 matrix slice.

A column-major 2x6 matrix slice.

A column-major matrix slice with 2 rows and a number of columns chosen at runtime.

A column-major 3x3 matrix slice.

A column-major 3x1 matrix slice.

A column-major 3x2 matrix slice.

A column-major 3x4 matrix slice.

A column-major 3x5 matrix slice.

A column-major 3x6 matrix slice.

A column-major matrix slice with 3 rows and a number of columns chosen at runtime.

A column-major 4x4 matrix slice.

A column-major 4x1 matrix slice.

A column-major 4x2 matrix slice.

A column-major 4x3 matrix slice.

A column-major 4x5 matrix slice.

A column-major 4x6 matrix slice.

A column-major matrix slice with 4 rows and a number of columns chosen at runtime.

A column-major 5x5 matrix slice.

A column-major 5x1 matrix slice.

A column-major 5x2 matrix slice.

A column-major 5x3 matrix slice.

A column-major 5x4 matrix slice.

A column-major 5x6 matrix slice.

A column-major matrix slice with 5 rows and a number of columns chosen at runtime.

A column-major 6x6 matrix slice.

A column-major 6x1 matrix slice.

A column-major 6x2 matrix slice.

A column-major 6x3 matrix slice.

A column-major 6x4 matrix slice.

A column-major 6x5 matrix slice.

A column-major matrix slice with 6 rows and a number of columns chosen at runtime.

A column-major matrix slice with R rows and C columns.

A column-major matrix slice with D rows and columns.

A column-major matrix slice with a number of rows chosen at runtime and 1 column.

A column-major matrix slice with a number of rows chosen at runtime and 2 columns.

A column-major matrix slice with a number of rows chosen at runtime and 3 columns.

A column-major matrix slice with a number of rows chosen at runtime and 4 columns.

A column-major matrix slice with a number of rows chosen at runtime and 5 columns.

A column-major matrix slice with a number of rows chosen at runtime and 6 columns.

A column-major matrix slice with a number of rows chosen at runtime and 1 column.

A column-major matrix slice with a number of rows chosen at runtime and 2 columns.

A column-major matrix slice with a number of rows chosen at runtime and 3 columns.

A column-major matrix slice with a number of rows chosen at runtime and 4 columns.

A column-major matrix slice with a number of rows chosen at runtime and 5 columns.

A column-major matrix slice with a number of rows chosen at runtime and 6 columns.

The type of the result of a matrix sum.

MatrixVecDeprecated

Renamed to VecStorage.

A heap-allocated, column-major, matrix with a dynamic number of rows and 1 columns.

A heap-allocated, column-major, matrix with a dynamic number of rows and 2 columns.

A heap-allocated, column-major, matrix with a dynamic number of rows and 3 columns.

A heap-allocated, column-major, matrix with a dynamic number of rows and 4 columns.

A heap-allocated, column-major, matrix with a dynamic number of rows and 5 columns.

A heap-allocated, column-major, matrix with a dynamic number of rows and 6 columns.

An owned matrix column-major matrix with R rows and C columns.

An owned D-dimensional column vector.

The owned data storage that can be allocated from S.

The owned data storage that can be allocated from S.

The row-stride of the owned data storage for a buffer of dimension (R, C).

A dynamically sized row vector.

An owned D-dimensional row vector.

A statically sized D-dimensional row vector.

A matrix with one row and D columns .

A stack-allocated, 1-dimensional row vector.

A stack-allocated, 2-dimensional row vector.

A stack-allocated, 3-dimensional row vector.

A stack-allocated, 4-dimensional row vector.

A stack-allocated, 5-dimensional row vector.

A stack-allocated, 6-dimensional row vector.

A statically sized column-major matrix with R rows and C columns.

A column-major matrix slice with dimensions known at compile-time.

A column-major matrix slice with dimensions known at compile-time.

A statically sized D-dimensional column vector.

A column vector slice with dimensions known at compile-time.

A column vector slice with dimensions known at compile-time.

The data storage for the sum of two matrices with dimensions (R1, C1) and (R2, C2).

A square matrix.

An owned matrix with uninitialized data.

An owned matrix with uninitialized data.

A stack-allocated, 1-dimensional unit vector.

A stack-allocated, 2-dimensional unit vector.

A stack-allocated, 3-dimensional unit vector.

A stack-allocated, 4-dimensional unit vector.

A stack-allocated, 5-dimensional unit vector.

A stack-allocated, 6-dimensional unit vector.

A matrix with one column and D rows.

A stack-allocated, 1-dimensional column vector.

A stack-allocated, 2-dimensional column vector.

A stack-allocated, 3-dimensional column vector.

A stack-allocated, 4-dimensional column vector.

A stack-allocated, 5-dimensional column vector.

A stack-allocated, 6-dimensional column vector.

VectorNDeprecated

An owned matrix column-major matrix with R rows and C columns.

A column vector slice with dimensions known at compile-time.

A 1D column vector slice.

A 2D column vector slice.

A 3D column vector slice.

A 4D column vector slice.

A 5D column vector slice.

A 6D column vector slice.

A column vector slice with dimensions known at compile-time.

A 1D column vector slice.

A 2D column vector slice.

A 3D column vector slice.

A 4D column vector slice.

A 5D column vector slice.

A 6D column vector slice.

The type of the result of a matrix sum.