Module na::base [−][src]
[Reexported at the root of this crate.] Data structures for vector and matrix computations.
Modules
| allocator | Abstract definition of a matrix data storage allocator. |
| constraint | Compatibility constraints between matrix shapes, e.g., for addition or multiplication. |
| coordinates | Structures to which matrices and vector can be auto-dereferenced (through |
| default_allocator | The default matrix data storage allocator. |
| dimension | Traits and tags for identifying the dimension of all algebraic entities. |
| indexing | Indexing |
| iter | Matrix iterators. |
| storage | Abstract definition of a matrix data storage. |
Structs
| ArrayStorage | A array-based statically sized matrix data storage. |
| DefaultAllocator | An allocator based on |
| Dynamic | Dim of dynamically-sized algebraic entities. |
| EuclideanNorm | Euclidean norm. |
| LpNorm | Lp norm. |
| Matrix | The most generic column-major matrix (and vector) type. |
| SliceStorage | A matrix data storage for a matrix slice. Only contains an internal reference to another matrix data storage. |
| SliceStorageMut | A mutable matrix data storage for mutable matrix slice. Only contains an internal mutable reference to another matrix data storage. |
| U0 | A type level dimension. |
| U1 | A type level dimension with a value of |
| U2 | A type level dimension. |
| U3 | A type level dimension. |
| U4 | A type level dimension. |
| U5 | A type level dimension. |
| U6 | A type level dimension. |
| U7 | A type level dimension. |
| U8 | A type level dimension. |
| U9 | A type level dimension. |
| U10 | A type level dimension. |
| U11 | A type level dimension. |
| U12 | A type level dimension. |
| U13 | A type level dimension. |
| U14 | A type level dimension. |
| U15 | A type level dimension. |
| U16 | A type level dimension. |
| U17 | A type level dimension. |
| U18 | A type level dimension. |
| U19 | A type level dimension. |
| U20 | A type level dimension. |
| U21 | A type level dimension. |
| U22 | A type level dimension. |
| U23 | A type level dimension. |
| U24 | A type level dimension. |
| U25 | A type level dimension. |
| U26 | A type level dimension. |
| U27 | A type level dimension. |
| U28 | A type level dimension. |
| U29 | A type level dimension. |
| U30 | A type level dimension. |
| U31 | A type level dimension. |
| U32 | A type level dimension. |
| U33 | A type level dimension. |
| U34 | A type level dimension. |
| U35 | A type level dimension. |
| U36 | A type level dimension. |
| U37 | A type level dimension. |
| U38 | A type level dimension. |
| U39 | A type level dimension. |
| U40 | A type level dimension. |
| U41 | A type level dimension. |
| U42 | A type level dimension. |
| U43 | A type level dimension. |
| U44 | A type level dimension. |
| U45 | A type level dimension. |
| U46 | A type level dimension. |
| U47 | A type level dimension. |
| U48 | A type level dimension. |
| U49 | A type level dimension. |
| U50 | A type level dimension. |
| U51 | A type level dimension. |
| U52 | A type level dimension. |
| U53 | A type level dimension. |
| U54 | A type level dimension. |
| U55 | A type level dimension. |
| U56 | A type level dimension. |
| U57 | A type level dimension. |
| U58 | A type level dimension. |
| U59 | A type level dimension. |
| U60 | A type level dimension. |
| U61 | A type level dimension. |
| U62 | A type level dimension. |
| U63 | A type level dimension. |
| U64 | A type level dimension. |
| U65 | A type level dimension. |
| U66 | A type level dimension. |
| U67 | A type level dimension. |
| U68 | A type level dimension. |
| U69 | A type level dimension. |
| U70 | A type level dimension. |
| U71 | A type level dimension. |
| U72 | A type level dimension. |
| U73 | A type level dimension. |
| U74 | A type level dimension. |
| U75 | A type level dimension. |
| U76 | A type level dimension. |
| U77 | A type level dimension. |
| U78 | A type level dimension. |
| U79 | A type level dimension. |
| U80 | A type level dimension. |
| U81 | A type level dimension. |
| U82 | A type level dimension. |
| U83 | A type level dimension. |
| U84 | A type level dimension. |
| U85 | A type level dimension. |
| U86 | A type level dimension. |
| U87 | A type level dimension. |
| U88 | A type level dimension. |
| U89 | A type level dimension. |
| U90 | A type level dimension. |
| U91 | A type level dimension. |
| U92 | A type level dimension. |
| U93 | A type level dimension. |
| U94 | A type level dimension. |
| U95 | A type level dimension. |
| U96 | A type level dimension. |
| U97 | A type level dimension. |
| U98 | A type level dimension. |
| U99 | A type level dimension. |
| U100 | A type level dimension. |
| U101 | A type level dimension. |
| U102 | A type level dimension. |
| U103 | A type level dimension. |
| U104 | A type level dimension. |
| U105 | A type level dimension. |
| U106 | A type level dimension. |
| U107 | A type level dimension. |
| U108 | A type level dimension. |
| U109 | A type level dimension. |
| U110 | A type level dimension. |
| U111 | A type level dimension. |
| U112 | A type level dimension. |
| U113 | A type level dimension. |
| U114 | A type level dimension. |
| U115 | A type level dimension. |
| U116 | A type level dimension. |
| U117 | A type level dimension. |
| U118 | A type level dimension. |
| U119 | A type level dimension. |
| U120 | A type level dimension. |
| U121 | A type level dimension. |
| U122 | A type level dimension. |
| U123 | A type level dimension. |
| U124 | A type level dimension. |
| U125 | A type level dimension. |
| U126 | A type level dimension. |
| U127 | A type level dimension. |
| UniformNorm | L-infinite norm aka. Chebytchev norm aka. uniform norm aka. suppremum norm. |
| Unit | A wrapper that ensures the underlying algebraic entity has a unit norm. |
| VecStorage | A Vec-based matrix data storage. It may be dynamically-sized. |
Traits
| Dim | Trait implemented by any type that can be used as a dimension. This includes type-level
integers and |
| DimAdd | |
| DimDiv | |
| DimMax | |
| DimMin | |
| DimMul | |
| DimName | Trait implemented exclusively by type-level integers. |
| DimNameAdd | |
| DimNameDiv | |
| DimNameMax | |
| DimNameMin | |
| DimNameMul | |
| DimNameSub | |
| DimSub | |
| IsDynamic | Trait implemented by |
| IsNotStaticOne | Trait implemented by |
| NamedDim | |
| Norm | A trait for abstract matrix norms. |
| Normed | Trait implemented by entities scan be be normalized and put in an |
| Scalar | The basic scalar type for all structures of |
| SliceRange | A range with a size that may be known at compile-time. |
Type Definitions
| DMatrix | A dynamically sized column-major matrix. |
| DMatrixSlice | A column-major matrix slice dynamic numbers of rows and columns. |
| DMatrixSliceMut | A column-major matrix slice dynamic numbers of rows and columns. |
| DVector | A dynamically sized column vector. |
| DVectorSlice | A column vector slice dynamic numbers of rows and columns. |
| DVectorSliceMut | A column vector slice dynamic numbers of rows and columns. |
| DimDiff | |
| DimMaximum | |
| DimMinimum | |
| DimNameDiff | |
| DimNameMaximum | |
| DimNameMinimum | |
| DimNameProd | |
| DimNameQuot | |
| DimNameSum | |
| DimProd | |
| DimQuot | |
| DimSum | |
| Matrix1 | A stack-allocated, column-major, 1x1 square matrix. |
| Matrix1x2 | A stack-allocated, column-major, 1x2 matrix. |
| Matrix1x3 | A stack-allocated, column-major, 1x3 matrix. |
| Matrix1x4 | A stack-allocated, column-major, 1x4 matrix. |
| Matrix1x5 | A stack-allocated, column-major, 1x5 matrix. |
| Matrix1x6 | A stack-allocated, column-major, 1x6 matrix. |
| Matrix1xX | A heap-allocated, row-major, matrix with 1 rows and a dynamic number of columns. |
| Matrix2 | A stack-allocated, column-major, 2x2 square matrix. |
| Matrix2x1 | A stack-allocated, column-major, 2x1 matrix. |
| Matrix2x3 | A stack-allocated, column-major, 2x3 matrix. |
| Matrix2x4 | A stack-allocated, column-major, 2x4 matrix. |
| Matrix2x5 | A stack-allocated, column-major, 2x5 matrix. |
| Matrix2x6 | A stack-allocated, column-major, 2x6 matrix. |
| Matrix2xX | A heap-allocated, row-major, matrix with 2 rows and a dynamic number of columns. |
| Matrix3 | A stack-allocated, column-major, 3x3 square matrix. |
| Matrix3x1 | A stack-allocated, column-major, 3x1 matrix. |
| Matrix3x2 | A stack-allocated, column-major, 3x2 matrix. |
| Matrix3x4 | A stack-allocated, column-major, 3x4 matrix. |
| Matrix3x5 | A stack-allocated, column-major, 3x5 matrix. |
| Matrix3x6 | A stack-allocated, column-major, 3x6 matrix. |
| Matrix3xX | A heap-allocated, row-major, matrix with 3 rows and a dynamic number of columns. |
| Matrix4 | A stack-allocated, column-major, 4x4 square matrix. |
| Matrix4x1 | A stack-allocated, column-major, 4x1 matrix. |
| Matrix4x2 | A stack-allocated, column-major, 4x2 matrix. |
| Matrix4x3 | A stack-allocated, column-major, 4x3 matrix. |
| Matrix4x5 | A stack-allocated, column-major, 4x5 matrix. |
| Matrix4x6 | A stack-allocated, column-major, 4x6 matrix. |
| Matrix4xX | A heap-allocated, row-major, matrix with 4 rows and a dynamic number of columns. |
| Matrix5 | A stack-allocated, column-major, 5x5 square matrix. |
| Matrix5x1 | A stack-allocated, column-major, 5x1 matrix. |
| Matrix5x2 | A stack-allocated, column-major, 5x2 matrix. |
| Matrix5x3 | A stack-allocated, column-major, 5x3 matrix. |
| Matrix5x4 | A stack-allocated, column-major, 5x4 matrix. |
| Matrix5x6 | A stack-allocated, column-major, 5x6 matrix. |
| Matrix5xX | A heap-allocated, row-major, matrix with 5 rows and a dynamic number of columns. |
| Matrix6 | A stack-allocated, column-major, 6x6 square matrix. |
| Matrix6x1 | A stack-allocated, column-major, 6x1 matrix. |
| Matrix6x2 | A stack-allocated, column-major, 6x2 matrix. |
| Matrix6x3 | A stack-allocated, column-major, 6x3 matrix. |
| Matrix6x4 | A stack-allocated, column-major, 6x4 matrix. |
| Matrix6x5 | A stack-allocated, column-major, 6x5 matrix. |
| Matrix6xX | A heap-allocated, row-major, matrix with 6 rows and a dynamic number of columns. |
| MatrixArray | Deprecated Renamed to ArrayStorage. |
| MatrixCross | The type of the result of a matrix cross product. |
| MatrixMN | A statically sized column-major matrix with |
| MatrixN | A statically sized column-major square matrix with |
| MatrixNM | Deprecated A statically sized column-major matrix with |
| MatrixSlice | A matrix slice. |
| MatrixSlice1 | A column-major 1x1 matrix slice. |
| MatrixSlice1x2 | A column-major 1x2 matrix slice. |
| MatrixSlice1x3 | A column-major 1x3 matrix slice. |
| MatrixSlice1x4 | A column-major 1x4 matrix slice. |
| MatrixSlice1x5 | A column-major 1x5 matrix slice. |
| MatrixSlice1x6 | A column-major 1x6 matrix slice. |
| MatrixSlice1xX | A column-major matrix slice with 1 row and a number of columns chosen at runtime. |
| MatrixSlice2 | A column-major 2x2 matrix slice. |
| MatrixSlice2x1 | A column-major 2x1 matrix slice. |
| MatrixSlice2x3 | A column-major 2x3 matrix slice. |
| MatrixSlice2x4 | A column-major 2x4 matrix slice. |
| MatrixSlice2x5 | A column-major 2x5 matrix slice. |
| MatrixSlice2x6 | A column-major 2x6 matrix slice. |
| MatrixSlice2xX | A column-major matrix slice with 2 rows and a number of columns chosen at runtime. |
| MatrixSlice3 | A column-major 3x3 matrix slice. |
| MatrixSlice3x1 | A column-major 3x1 matrix slice. |
| MatrixSlice3x2 | A column-major 3x2 matrix slice. |
| MatrixSlice3x4 | A column-major 3x4 matrix slice. |
| MatrixSlice3x5 | A column-major 3x5 matrix slice. |
| MatrixSlice3x6 | A column-major 3x6 matrix slice. |
| MatrixSlice3xX | A column-major matrix slice with 3 rows and a number of columns chosen at runtime. |
| MatrixSlice4 | A column-major 4x4 matrix slice. |
| MatrixSlice4x1 | A column-major 4x1 matrix slice. |
| MatrixSlice4x2 | A column-major 4x2 matrix slice. |
| MatrixSlice4x3 | A column-major 4x3 matrix slice. |
| MatrixSlice4x5 | A column-major 4x5 matrix slice. |
| MatrixSlice4x6 | A column-major 4x6 matrix slice. |
| MatrixSlice4xX | A column-major matrix slice with 4 rows and a number of columns chosen at runtime. |
| MatrixSlice5 | A column-major 5x5 matrix slice. |
| MatrixSlice5x1 | A column-major 5x1 matrix slice. |
| MatrixSlice5x2 | A column-major 5x2 matrix slice. |
| MatrixSlice5x3 | A column-major 5x3 matrix slice. |
| MatrixSlice5x4 | A column-major 5x4 matrix slice. |
| MatrixSlice5x6 | A column-major 5x6 matrix slice. |
| MatrixSlice5xX | A column-major matrix slice with 5 rows and a number of columns chosen at runtime. |
| MatrixSlice6 | A column-major 6x6 matrix slice. |
| MatrixSlice6x1 | A column-major 6x1 matrix slice. |
| MatrixSlice6x2 | A column-major 6x2 matrix slice. |
| MatrixSlice6x3 | A column-major 6x3 matrix slice. |
| MatrixSlice6x4 | A column-major 6x4 matrix slice. |
| MatrixSlice6x5 | A column-major 6x5 matrix slice. |
| MatrixSlice6xX | A column-major matrix slice with 6 rows and a number of columns chosen at runtime. |
| MatrixSliceMN | A column-major matrix slice with |
| MatrixSliceMut | A mutable matrix slice. |
| MatrixSliceMut1 | A column-major 1x1 matrix slice. |
| MatrixSliceMut1x2 | A column-major 1x2 matrix slice. |
| MatrixSliceMut1x3 | A column-major 1x3 matrix slice. |
| MatrixSliceMut1x4 | A column-major 1x4 matrix slice. |
| MatrixSliceMut1x5 | A column-major 1x5 matrix slice. |
| MatrixSliceMut1x6 | A column-major 1x6 matrix slice. |
| MatrixSliceMut1xX | A column-major matrix slice with 1 row and a number of columns chosen at runtime. |
| MatrixSliceMut2 | A column-major 2x2 matrix slice. |
| MatrixSliceMut2x1 | A column-major 2x1 matrix slice. |
| MatrixSliceMut2x3 | A column-major 2x3 matrix slice. |
| MatrixSliceMut2x4 | A column-major 2x4 matrix slice. |
| MatrixSliceMut2x5 | A column-major 2x5 matrix slice. |
| MatrixSliceMut2x6 | A column-major 2x6 matrix slice. |
| MatrixSliceMut2xX | A column-major matrix slice with 2 rows and a number of columns chosen at runtime. |
| MatrixSliceMut3 | A column-major 3x3 matrix slice. |
| MatrixSliceMut3x1 | A column-major 3x1 matrix slice. |
| MatrixSliceMut3x2 | A column-major 3x2 matrix slice. |
| MatrixSliceMut3x4 | A column-major 3x4 matrix slice. |
| MatrixSliceMut3x5 | A column-major 3x5 matrix slice. |
| MatrixSliceMut3x6 | A column-major 3x6 matrix slice. |
| MatrixSliceMut3xX | A column-major matrix slice with 3 rows and a number of columns chosen at runtime. |
| MatrixSliceMut4 | A column-major 4x4 matrix slice. |
| MatrixSliceMut4x1 | A column-major 4x1 matrix slice. |
| MatrixSliceMut4x2 | A column-major 4x2 matrix slice. |
| MatrixSliceMut4x3 | A column-major 4x3 matrix slice. |
| MatrixSliceMut4x5 | A column-major 4x5 matrix slice. |
| MatrixSliceMut4x6 | A column-major 4x6 matrix slice. |
| MatrixSliceMut4xX | A column-major matrix slice with 4 rows and a number of columns chosen at runtime. |
| MatrixSliceMut5 | A column-major 5x5 matrix slice. |
| MatrixSliceMut5x1 | A column-major 5x1 matrix slice. |
| MatrixSliceMut5x2 | A column-major 5x2 matrix slice. |
| MatrixSliceMut5x3 | A column-major 5x3 matrix slice. |
| MatrixSliceMut5x4 | A column-major 5x4 matrix slice. |
| MatrixSliceMut5x6 | A column-major 5x6 matrix slice. |
| MatrixSliceMut5xX | A column-major matrix slice with 5 rows and a number of columns chosen at runtime. |
| MatrixSliceMut6 | A column-major 6x6 matrix slice. |
| MatrixSliceMut6x1 | A column-major 6x1 matrix slice. |
| MatrixSliceMut6x2 | A column-major 6x2 matrix slice. |
| MatrixSliceMut6x3 | A column-major 6x3 matrix slice. |
| MatrixSliceMut6x4 | A column-major 6x4 matrix slice. |
| MatrixSliceMut6x5 | A column-major 6x5 matrix slice. |
| MatrixSliceMut6xX | A column-major matrix slice with 6 rows and a number of columns chosen at runtime. |
| MatrixSliceMutMN | A column-major matrix slice with |
| MatrixSliceMutN | A column-major matrix slice with |
| MatrixSliceMutXx1 | A column-major matrix slice with a number of rows chosen at runtime and 1 column. |
| MatrixSliceMutXx2 | A column-major matrix slice with a number of rows chosen at runtime and 2 columns. |
| MatrixSliceMutXx3 | A column-major matrix slice with a number of rows chosen at runtime and 3 columns. |
| MatrixSliceMutXx4 | A column-major matrix slice with a number of rows chosen at runtime and 4 columns. |
| MatrixSliceMutXx5 | A column-major matrix slice with a number of rows chosen at runtime and 5 columns. |
| MatrixSliceMutXx6 | A column-major matrix slice with a number of rows chosen at runtime and 6 columns. |
| MatrixSliceN | A column-major matrix slice with |
| MatrixSliceXx1 | A column-major matrix slice with a number of rows chosen at runtime and 1 column. |
| MatrixSliceXx2 | A column-major matrix slice with a number of rows chosen at runtime and 2 columns. |
| MatrixSliceXx3 | A column-major matrix slice with a number of rows chosen at runtime and 3 columns. |
| MatrixSliceXx4 | A column-major matrix slice with a number of rows chosen at runtime and 4 columns. |
| MatrixSliceXx5 | A column-major matrix slice with a number of rows chosen at runtime and 5 columns. |
| MatrixSliceXx6 | A column-major matrix slice with a number of rows chosen at runtime and 6 columns. |
| MatrixSum | The type of the result of a matrix sum. |
| MatrixVec | Deprecated Renamed to VecStorage. |
| MatrixXx1 | A heap-allocated, column-major, matrix with a dynamic number of rows and 1 columns. |
| MatrixXx2 | A heap-allocated, column-major, matrix with a dynamic number of rows and 2 columns. |
| MatrixXx3 | A heap-allocated, column-major, matrix with a dynamic number of rows and 3 columns. |
| MatrixXx4 | A heap-allocated, column-major, matrix with a dynamic number of rows and 4 columns. |
| MatrixXx5 | A heap-allocated, column-major, matrix with a dynamic number of rows and 5 columns. |
| MatrixXx6 | A heap-allocated, column-major, matrix with a dynamic number of rows and 6 columns. |
| RowDVector | A dynamically sized row vector. |
| RowVector | A matrix with one row and |
| RowVector1 | A stack-allocated, 1-dimensional row vector. |
| RowVector2 | A stack-allocated, 2-dimensional row vector. |
| RowVector3 | A stack-allocated, 3-dimensional row vector. |
| RowVector4 | A stack-allocated, 4-dimensional row vector. |
| RowVector5 | A stack-allocated, 5-dimensional row vector. |
| RowVector6 | A stack-allocated, 6-dimensional row vector. |
| RowVectorN | A statically sized D-dimensional row vector. |
| SquareMatrix | A square matrix. |
| Vector | A matrix with one column and |
| Vector1 | A stack-allocated, 1-dimensional column vector. |
| Vector2 | A stack-allocated, 2-dimensional column vector. |
| Vector3 | A stack-allocated, 3-dimensional column vector. |
| Vector4 | A stack-allocated, 4-dimensional column vector. |
| Vector5 | A stack-allocated, 5-dimensional column vector. |
| Vector6 | A stack-allocated, 6-dimensional column vector. |
| VectorN | A statically sized D-dimensional column vector. |
| VectorSlice1 | A 1D column vector slice. |
| VectorSlice2 | A 2D column vector slice. |
| VectorSlice3 | A 3D column vector slice. |
| VectorSlice4 | A 4D column vector slice. |
| VectorSlice5 | A 5D column vector slice. |
| VectorSlice6 | A 6D column vector slice. |
| VectorSliceMut1 | A 1D column vector slice. |
| VectorSliceMut2 | A 2D column vector slice. |
| VectorSliceMut3 | A 3D column vector slice. |
| VectorSliceMut4 | A 4D column vector slice. |
| VectorSliceMut5 | A 5D column vector slice. |
| VectorSliceMut6 | A 6D column vector slice. |
| VectorSliceMutN | A column vector slice with |
| VectorSliceN | A column vector slice with |
| VectorSum | The type of the result of a matrix sum. |