Module nalgebra::base

source ·
Expand description

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

Re-exports§

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§

  • An array-based statically sized matrix data storage.
  • Euclidean norm.
  • Lp norm.
  • The most generic column-major matrix (and vector) type.
  • 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.
  • A matrix data storage for a matrix view. Only contains an internal reference to another matrix data storage.
  • A mutable matrix data storage for mutable matrix view. Only contains an internal mutable reference to another matrix data storage.

Traits§

  • A range with a size that may be known at compile-time.
  • A trait for abstract matrix norms.
  • Trait implemented by entities scan be be normalized and put in an Unit struct.
  • The basic scalar type for all structures of nalgebra.
  • SliceRangeDeprecated
    A range with a size that may be known at compile-time.

Type Aliases§

  • A dynamically sized column-major matrix.
  • DMatrixSliceDeprecated
    A column-major matrix slice dynamic numbers of rows and columns.
  • DMatrixSliceMutDeprecated
    A column-major matrix slice dynamic numbers of rows and columns.
  • An immutable column-major matrix view dynamic numbers of rows and columns.
  • A mutable column-major matrix view dynamic numbers of rows and columns.
  • A dynamically sized column vector.
  • DVectorSliceDeprecated
    A column vector slice dynamic numbers of rows and columns.
  • DVectorSliceMutDeprecated
    A column vector slice dynamic numbers of rows and columns.
  • An immutable column vector view dynamic numbers of rows and columns.
  • A mutable column vector view 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, column-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, column-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, column-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, column-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, column-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, column-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.
  • MatrixSliceDeprecated
    A matrix slice.
  • MatrixSlice1Deprecated
    A column-major 1x1 matrix slice.
  • MatrixSlice1x2Deprecated
    A column-major 1x2 matrix slice.
  • MatrixSlice1x3Deprecated
    A column-major 1x3 matrix slice.
  • MatrixSlice1x4Deprecated
    A column-major 1x4 matrix slice.
  • MatrixSlice1x5Deprecated
    A column-major 1x5 matrix slice.
  • MatrixSlice1x6Deprecated
    A column-major 1x6 matrix slice.
  • MatrixSlice1xXDeprecated
    A column-major matrix slice with 1 row and a number of columns chosen at runtime.
  • MatrixSlice2Deprecated
    A column-major 2x2 matrix slice.
  • MatrixSlice2x1Deprecated
    A column-major 2x1 matrix slice.
  • MatrixSlice2x3Deprecated
    A column-major 2x3 matrix slice.
  • MatrixSlice2x4Deprecated
    A column-major 2x4 matrix slice.
  • MatrixSlice2x5Deprecated
    A column-major 2x5 matrix slice.
  • MatrixSlice2x6Deprecated
    A column-major 2x6 matrix slice.
  • MatrixSlice2xXDeprecated
    A column-major matrix slice with 2 rows and a number of columns chosen at runtime.
  • MatrixSlice3Deprecated
    A column-major 3x3 matrix slice.
  • MatrixSlice3x1Deprecated
    A column-major 3x1 matrix slice.
  • MatrixSlice3x2Deprecated
    A column-major 3x2 matrix slice.
  • MatrixSlice3x4Deprecated
    A column-major 3x4 matrix slice.
  • MatrixSlice3x5Deprecated
    A column-major 3x5 matrix slice.
  • MatrixSlice3x6Deprecated
    A column-major 3x6 matrix slice.
  • MatrixSlice3xXDeprecated
    A column-major matrix slice with 3 rows and a number of columns chosen at runtime.
  • MatrixSlice4Deprecated
    A column-major 4x4 matrix slice.
  • MatrixSlice4x1Deprecated
    A column-major 4x1 matrix slice.
  • MatrixSlice4x2Deprecated
    A column-major 4x2 matrix slice.
  • MatrixSlice4x3Deprecated
    A column-major 4x3 matrix slice.
  • MatrixSlice4x5Deprecated
    A column-major 4x5 matrix slice.
  • MatrixSlice4x6Deprecated
    A column-major 4x6 matrix slice.
  • MatrixSlice4xXDeprecated
    A column-major matrix slice with 4 rows and a number of columns chosen at runtime.
  • MatrixSlice5Deprecated
    A column-major 5x5 matrix slice.
  • MatrixSlice5x1Deprecated
    A column-major 5x1 matrix slice.
  • MatrixSlice5x2Deprecated
    A column-major 5x2 matrix slice.
  • MatrixSlice5x3Deprecated
    A column-major 5x3 matrix slice.
  • MatrixSlice5x4Deprecated
    A column-major 5x4 matrix slice.
  • MatrixSlice5x6Deprecated
    A column-major 5x6 matrix slice.
  • MatrixSlice5xXDeprecated
    A column-major matrix slice with 5 rows and a number of columns chosen at runtime.
  • MatrixSlice6Deprecated
    A column-major 6x6 matrix slice.
  • MatrixSlice6x1Deprecated
    A column-major 6x1 matrix slice.
  • MatrixSlice6x2Deprecated
    A column-major 6x2 matrix slice.
  • MatrixSlice6x3Deprecated
    A column-major 6x3 matrix slice.
  • MatrixSlice6x4Deprecated
    A column-major 6x4 matrix slice.
  • MatrixSlice6x5Deprecated
    A column-major 6x5 matrix slice.
  • MatrixSlice6xXDeprecated
    A column-major matrix slice with 6 rows and a number of columns chosen at runtime.
  • MatrixSliceMutDeprecated
    A mutable matrix slice.
  • MatrixSliceMut1Deprecated
    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.
  • MatrixSliceMut2Deprecated
    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.
  • MatrixSliceMut3Deprecated
    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.
  • MatrixSliceMut4Deprecated
    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.
  • MatrixSliceMut5Deprecated
    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.
  • MatrixSliceMut6Deprecated
    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.
  • MatrixSliceMutNDeprecated
    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.
  • MatrixSliceXx1Deprecated
    A column-major matrix slice with a number of rows chosen at runtime and 1 column.
  • MatrixSliceXx2Deprecated
    A column-major matrix slice with a number of rows chosen at runtime and 2 columns.
  • MatrixSliceXx3Deprecated
    A column-major matrix slice with a number of rows chosen at runtime and 3 columns.
  • MatrixSliceXx4Deprecated
    A column-major matrix slice with a number of rows chosen at runtime and 4 columns.
  • MatrixSliceXx5Deprecated
    A column-major matrix slice with a number of rows chosen at runtime and 5 columns.
  • MatrixSliceXx6Deprecated
    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 matrix view.
  • An immutable column-major 1x1 matrix view.
  • An immutable column-major 1x2 matrix view.
  • An immutable column-major 1x3 matrix view.
  • An immutable column-major 1x4 matrix view.
  • An immutable column-major 1x5 matrix view.
  • An immutable column-major 1x6 matrix view.
  • An immutable column-major matrix view with 1 row and a number of columns chosen at runtime.
  • An immutable column-major 2x2 matrix view.
  • An immutable column-major 2x1 matrix view.
  • An immutable column-major 2x3 matrix view.
  • An immutable column-major 2x4 matrix view.
  • An immutable column-major 2x5 matrix view.
  • An immutable column-major 2x6 matrix view.
  • An immutable column-major matrix view with 2 rows and a number of columns chosen at runtime.
  • An immutable column-major 3x3 matrix view.
  • An immutable column-major 3x1 matrix view.
  • An immutable column-major 3x2 matrix view.
  • An immutable column-major 3x4 matrix view.
  • An immutable column-major 3x5 matrix view.
  • An immutable column-major 3x6 matrix view.
  • An immutable column-major matrix view with 3 rows and a number of columns chosen at runtime.
  • An immutable column-major 4x4 matrix view.
  • An immutable column-major 4x1 matrix view.
  • An immutable column-major 4x2 matrix view.
  • An immutable column-major 4x3 matrix view.
  • An immutable column-major 4x5 matrix view.
  • An immutable column-major 4x6 matrix view.
  • An immutable column-major matrix view with 4 rows and a number of columns chosen at runtime.
  • An immutable column-major 5x5 matrix view.
  • An immutable column-major 5x1 matrix view.
  • An immutable column-major 5x2 matrix view.
  • An immutable column-major 5x3 matrix view.
  • An immutable column-major 5x4 matrix view.
  • An immutable column-major 5x6 matrix view.
  • An immutable column-major matrix view with 5 rows and a number of columns chosen at runtime.
  • An immutable column-major 6x6 matrix view.
  • An immutable column-major 6x1 matrix view.
  • An immutable column-major 6x2 matrix view.
  • An immutable column-major 6x3 matrix view.
  • An immutable column-major 6x4 matrix view.
  • An immutable column-major 6x5 matrix view.
  • An immutable column-major matrix view with 6 rows and a number of columns chosen at runtime.
  • A mutable matrix view.
  • A mutable column-major 1x1 matrix view.
  • A mutable column-major 1x2 matrix view.
  • A mutable column-major 1x3 matrix view.
  • A mutable column-major 1x4 matrix view.
  • A mutable column-major 1x5 matrix view.
  • A mutable column-major 1x6 matrix view.
  • A mutable column-major matrix view with 1 row and a number of columns chosen at runtime.
  • A mutable column-major 2x2 matrix view.
  • A mutable column-major 2x1 matrix view.
  • A mutable column-major 2x3 matrix view.
  • A mutable column-major 2x4 matrix view.
  • A mutable column-major 2x5 matrix view.
  • A mutable column-major 2x6 matrix view.
  • A mutable column-major matrix view with 2 rows and a number of columns chosen at runtime.
  • A mutable column-major 3x3 matrix view.
  • A mutable column-major 3x1 matrix view.
  • A mutable column-major 3x2 matrix view.
  • A mutable column-major 3x4 matrix view.
  • A mutable column-major 3x5 matrix view.
  • A mutable column-major 3x6 matrix view.
  • A mutable column-major matrix view with 3 rows and a number of columns chosen at runtime.
  • A mutable column-major 4x4 matrix view.
  • A mutable column-major 4x1 matrix view.
  • A mutable column-major 4x2 matrix view.
  • A mutable column-major 4x3 matrix view.
  • A mutable column-major 4x5 matrix view.
  • A mutable column-major 4x6 matrix view.
  • A mutable column-major matrix view with 4 rows and a number of columns chosen at runtime.
  • A mutable column-major 5x5 matrix view.
  • A mutable column-major 5x1 matrix view.
  • A mutable column-major 5x2 matrix view.
  • A mutable column-major 5x3 matrix view.
  • A mutable column-major 5x4 matrix view.
  • A mutable column-major 5x6 matrix view.
  • A mutable column-major matrix view with 5 rows and a number of columns chosen at runtime.
  • A mutable column-major 6x6 matrix view.
  • A mutable column-major 6x1 matrix view.
  • A mutable column-major 6x2 matrix view.
  • A mutable column-major 6x3 matrix view.
  • A mutable column-major 6x4 matrix view.
  • A mutable column-major 6x5 matrix view.
  • A mutable column-major matrix view with 6 rows and a number of columns chosen at runtime.
  • A mutable column-major matrix view with a number of rows chosen at runtime and 1 column.
  • A mutable column-major matrix view with a number of rows chosen at runtime and 2 columns.
  • A mutable column-major matrix view with a number of rows chosen at runtime and 3 columns.
  • A mutable column-major matrix view with a number of rows chosen at runtime and 4 columns.
  • A mutable column-major matrix view with a number of rows chosen at runtime and 5 columns.
  • A mutable column-major matrix view with a number of rows chosen at runtime and 6 columns.
  • An immutable column-major matrix view with a number of rows chosen at runtime and 1 column.
  • An immutable column-major matrix view with a number of rows chosen at runtime and 2 columns.
  • An immutable column-major matrix view with a number of rows chosen at runtime and 3 columns.
  • An immutable column-major matrix view with a number of rows chosen at runtime and 4 columns.
  • An immutable column-major matrix view with a number of rows chosen at runtime and 5 columns.
  • An immutable column-major matrix view with a number of rows chosen at runtime and 6 columns.
  • 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.
  • 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.
  • SMatrixSliceDeprecated
    A column-major matrix slice with dimensions known at compile-time.
  • SMatrixSliceMutDeprecated
    A column-major matrix slice with dimensions known at compile-time.
  • An immutable column-major matrix view with dimensions known at compile-time.
  • A mutable column-major matrix view with dimensions known at compile-time.
  • A statically sized D-dimensional column vector.
  • SVectorSliceDeprecated
    A column vector slice with dimensions known at compile-time.
  • SVectorSliceMutDeprecated
    A column vector slice with dimensions known at compile-time.
  • An immutable column vector view with dimensions known at compile-time.
  • A mutable column vector view with dimensions known at compile-time.
  • SliceStorageDeprecated
    A matrix data storage for a matrix view. Only contains an internal reference to another matrix data storage.
  • SliceStorageMutDeprecated
    A mutable matrix data storage for mutable matrix view. Only contains an internal mutable reference to another matrix data storage.
  • 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.
  • VectorSliceDeprecated
    A column vector slice with dimensions known at compile-time.
  • VectorSlice1Deprecated
    A 1D column vector slice.
  • VectorSlice2Deprecated
    A 2D column vector slice.
  • VectorSlice3Deprecated
    A 3D column vector slice.
  • VectorSlice4Deprecated
    A 4D column vector slice.
  • VectorSlice5Deprecated
    A 5D column vector slice.
  • VectorSlice6Deprecated
    A 6D column vector slice.
  • VectorSliceMutDeprecated
    A column vector slice with dimensions known at compile-time.
  • VectorSliceMut1Deprecated
    A 1D column vector slice.
  • VectorSliceMut2Deprecated
    A 2D column vector slice.
  • VectorSliceMut3Deprecated
    A 3D column vector slice.
  • VectorSliceMut4Deprecated
    A 4D column vector slice.
  • VectorSliceMut5Deprecated
    A 5D column vector slice.
  • VectorSliceMut6Deprecated
    A 6D column vector slice.
  • The type of the result of a matrix sum.
  • An immutable column vector view with dimensions known at compile-time.
  • An immutable 1D column vector view.
  • An immutable 2D column vector view.
  • An immutable 3D column vector view.
  • An immutable 4D column vector view.
  • An immutable 5D column vector view.
  • An immutable 6D column vector view.
  • A mutable column vector view with dimensions known at compile-time.
  • A mutable 1D column vector view.
  • A mutable 2D column vector view.
  • A mutable 3D column vector view.
  • A mutable 4D column vector view.
  • A mutable 5D column vector view.
  • A mutable 6D column vector view.