Module oxygengine_physics_2d::prelude::nalgebra::base

[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 Deref) to access components using their names. For example, if v is a 3D vector, one can write v.z instead of v[2].
• 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.
• uninit
  Mechanisms for working with values that may not be initialized.

Structs

• ArrayStorage
  A array-based statically sized matrix data storage.
• Const
• DefaultAllocator
  An allocator based on GenericArray and VecStorage for statically-sized and dynamically-sized matrices respectively.
• 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.
• 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 Dynamic (for dimensions not known at compile-time).
• DimAdd
• DimDiv
• DimMax
• DimMin
• DimMul
• DimName
  Trait implemented exclusively by type-level integers.
• DimNameAdd
• DimNameDiv
• DimNameMax
• DimNameMin
• DimNameMul
• DimNameSub
• DimSub
• IsContiguous
  Marker trait indicating that a storage is stored contiguously in memory.
• IsDynamic
  Trait implemented by Dynamic.
• IsNotStaticOne
  Trait implemented by Dynamic and type-level integers different from U1.
• Norm
  A trait for abstract matrix norms.
• Normed
  Trait implemented by entities scan be be normalized and put in an Unit struct.
• RawStorage
  The trait shared by all matrix data storage.
• RawStorageMut
  Trait implemented by matrix data storage that can provide a mutable access to its elements.
• ReshapableStorage
  A matrix storage that can be reshaped in-place.
• Scalar
  The basic scalar type for all structures of nalgebra.
• SliceRange
  A range with a size that may be known at compile-time.
• Storage
  Trait shared by all matrix data storage that don’t contain any uninitialized elements.
• StorageMut
  Trait shared by all mutable matrix data storage that don’t contain any uninitialized elements.
• ToConst
• ToTypenum

Type Aliases

• CStride
  The column-stride of the owned data storage for a buffer of dimension (R, C).
• 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.
• MatrixCross
  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.
• 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.
• 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 R rows and C columns.
• MatrixSliceMutN
  A column-major matrix slice with D rows and columns.
• 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.
• 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.
• MatrixVecDeprecated
  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.
• OMatrix
  An owned matrix column-major matrix with R rows and C columns.
• OVector
  An owned D-dimensional column vector.
• Owned
  The owned data storage that can be allocated from S.
• OwnedUninit
  The owned data storage that can be allocated from S.
• RStride
  The row-stride of the owned data storage for a buffer of dimension (R, C).
• RowDVector
  A dynamically sized row vector.
• RowOVector
  An owned D-dimensional row vector.
• RowSVector
  A statically sized D-dimensional row vector.
• RowVector
  A matrix with one row and D columns .
• 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.
• SMatrix
  A statically sized column-major matrix with R rows and C columns.
• SMatrixSlice
  A column-major matrix slice with dimensions known at compile-time.
• SMatrixSliceMut
  A column-major matrix slice with dimensions known at compile-time.
• SVector
  A statically sized D-dimensional column vector.
• SVectorSlice
  A column vector slice with dimensions known at compile-time.
• SVectorSliceMut
  A column vector slice with dimensions known at compile-time.
• SameShapeStorage
  The data storage for the sum of two matrices with dimensions (R1, C1) and (R2, C2).
• SquareMatrix
  A square matrix.
• U0
• U1
• U2
• U3
• U4
• U5
• U6
• U7
• U8
• U9
• U10
• U11
• U12
• U13
• U14
• U15
• U16
• U17
• U18
• U19
• U20
• U21
• U22
• U23
• U24
• U25
• U26
• U27
• U28
• U29
• U30
• U31
• U32
• U33
• U34
• U35
• U36
• U37
• U38
• U39
• U40
• U41
• U42
• U43
• U44
• U45
• U46
• U47
• U48
• U49
• U50
• U51
• U52
• U53
• U54
• U55
• U56
• U57
• U58
• U59
• U60
• U61
• U62
• U63
• U64
• U65
• U66
• U67
• U68
• U69
• U70
• U71
• U72
• U73
• U74
• U75
• U76
• U77
• U78
• U79
• U80
• U81
• U82
• U83
• U84
• U85
• U86
• U87
• U88
• U89
• U90
• U91
• U92
• U93
• U94
• U95
• U96
• U97
• U98
• U99
• U100
• U101
• U102
• U103
• U104
• U105
• U106
• U107
• U108
• U109
• U110
• U111
• U112
• U113
• U114
• U115
• U116
• U117
• U118
• U119
• U120
• U121
• U122
• U123
• U124
• U125
• U126
• U127
• UninitMatrix
  An owned matrix with uninitialized data.
• UninitVector
  An owned matrix with uninitialized data.
• UnitVector1
  A stack-allocated, 1-dimensional unit vector.
• UnitVector2
  A stack-allocated, 2-dimensional unit vector.
• UnitVector3
  A stack-allocated, 3-dimensional unit vector.
• UnitVector4
  A stack-allocated, 4-dimensional unit vector.
• UnitVector5
  A stack-allocated, 5-dimensional unit vector.
• UnitVector6
  A stack-allocated, 6-dimensional unit vector.
• Vector
  A matrix with one column and D rows.
• 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.
• VectorNDeprecated
  An owned matrix column-major matrix with R rows and C columns.
• VectorSlice
  A column vector slice with dimensions known at compile-time.
• 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.
• VectorSliceMut
  A column vector slice with dimensions known at compile-time.
• 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.
• VectorSum
  The type of the result of a matrix sum.