| Safe Haskell | None |
|---|---|
| Language | Haskell2010 |
Goal.Core.Vector.Boxed
Description
Vectors and Matrices with statically-typed dimensions based on boxed vectors.
Synopsis
- doubleton :: x -> x -> Vector 2 x
- range :: (KnownNat n, Fractional x) => x -> x -> Vector n x
- breakStream :: forall n a. KnownNat n => [a] -> [Vector n a]
- breakEvery :: (KnownNat n, KnownNat k) => Vector (n * k) a -> Vector n (Vector k a)
- toPair :: Vector 2 x -> (x, x)
- concat :: KnownNat n => Vector m (Vector n x) -> Vector (m * n) x
- type Matrix = Matrix Vector
- nRows :: forall m n a. KnownNat m => Matrix m n a -> Int
- nColumns :: forall m n a. KnownNat n => Matrix m n a -> Int
- fromRows :: KnownNat n => Vector m (Vector n x) -> Matrix m n x
- fromColumns :: (KnownNat n, KnownNat m) => Vector n (Vector m x) -> Matrix m n x
- matrixIdentity :: (KnownNat n, Num a) => Matrix n n a
- outerProduct :: (KnownNat m, KnownNat n, Num x) => Vector m x -> Vector n x -> Matrix m n x
- diagonalConcat :: (KnownNat n, KnownNat m, KnownNat o, KnownNat p, Num a) => Matrix n m a -> Matrix o p a -> Matrix (n + o) (m + p) a
- toRows :: (KnownNat m, KnownNat n) => Matrix m n x -> Vector m (Vector n x)
- toColumns :: (KnownNat m, KnownNat n) => Matrix m n x -> Vector n (Vector m x)
- columnVector :: Vector n a -> Matrix n 1 a
- rowVector :: Vector n a -> Matrix 1 n a
- dotProduct :: Num x => Vector n x -> Vector n x -> x
- matrixVectorMultiply :: (KnownNat m, KnownNat n, Num x) => Matrix m n x -> Vector n x -> Vector m x
- matrixMatrixMultiply :: forall m n o a. (KnownNat m, KnownNat n, KnownNat o, Num a) => Matrix m n a -> Matrix n o a -> Matrix m o a
- inverse :: forall a n. (Fractional a, Ord a, KnownNat n) => Matrix n n a -> Maybe (Matrix n n a)
- transpose :: (KnownNat m, KnownNat n, Num x) => Matrix m n x -> Matrix n m x
Vector
Construction
range :: (KnownNat n, Fractional x) => x -> x -> Vector n x Source #
Partition of an interval.
breakStream :: forall n a. KnownNat n => [a] -> [Vector n a] Source #
Cycles a list of elements and breaks it up into an infinite list of Vectors.
breakEvery :: (KnownNat n, KnownNat k) => Vector (n * k) a -> Vector n (Vector k a) Source #
Breaks a Vector into a Vector of Vectors.
Deconstruction
concat :: KnownNat n => Vector m (Vector n x) -> Vector (m * n) x Source #
Flatten a Vector of Vectors.
Matrix
nColumns :: forall m n a. KnownNat n => Matrix m n a -> Int Source #
The number of columns in the Matrix.
Construction
fromRows :: KnownNat n => Vector m (Vector n x) -> Matrix m n x Source #
Create a Matrix from a Vector of row Vectors.
fromColumns :: (KnownNat n, KnownNat m) => Vector n (Vector m x) -> Matrix m n x Source #
Create a Matrix from a Vector of column Vectors.
outerProduct :: (KnownNat m, KnownNat n, Num x) => Vector m x -> Vector n x -> Matrix m n x Source #
Pure implementation of the outer product.
diagonalConcat :: (KnownNat n, KnownNat m, KnownNat o, KnownNat p, Num a) => Matrix n m a -> Matrix o p a -> Matrix (n + o) (m + p) a Source #
Diagonally concatenate two matrices, padding the gaps with zeroes (pure implementation).
Deconstruction
toRows :: (KnownNat m, KnownNat n) => Matrix m n x -> Vector m (Vector n x) Source #
Convert a Matrix into a Vector of Vectors of rows.
toColumns :: (KnownNat m, KnownNat n) => Matrix m n x -> Vector n (Vector m x) Source #
Convert a Matrix into a Vector of Vectors of columns.
Manipulation
columnVector :: Vector n a -> Matrix n 1 a Source #
Turn a Vector into a single column Matrix.
BLAS
dotProduct :: Num x => Vector n x -> Vector n x -> x Source #
Pure implementation of the dot product.
matrixVectorMultiply :: (KnownNat m, KnownNat n, Num x) => Matrix m n x -> Vector n x -> Vector m x Source #
Pure Matrix x Vector multiplication.
matrixMatrixMultiply :: forall m n o a. (KnownNat m, KnownNat n, KnownNat o, Num a) => Matrix m n a -> Matrix n o a -> Matrix m o a Source #