Module bevy_rapier2d::prelude::nalgebra::base[][src]

Expand description

[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.

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
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.

Scalar

The basic scalar type for all structures of nalgebra.

SliceRange

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

ToConst
ToTypenum

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.

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.

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.

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
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.