HCube.Utility

Common utility functions, simple linear algebra.

Documentation

squareRoot :: Int -> Maybe Int

Returns square root of argument if argument is a perfect square.

(|*|) :: Matrix -> Vec -> Vec

Multiple a matrix on the left side of a vector.

(|**|) :: Matrix -> Matrix -> Matrix

Multiple two matrices.

multMatrix :: Numb -> Matrix -> Matrix

Multiple a matrix by a scalar.

cofactors :: Matrix -> Matrix

The cofactor of a matrix.

transposeM :: Matrix -> Matrix

Transpose of a matrix.

inverse :: Matrix -> Matrix

Inverse of a matrix.

showM :: Matrix -> String

Display a matrix.

doM :: Monad m => (a -> Bool) -> (a -> m a) -> a -> m a

(~>) :: Monad m => m a -> (a -> b -> m b) -> b -> m b

(~|) :: Monad m => (a -> m b) -> a -> m a

(<*) :: Monad m => m a -> m b -> m a

concatMapM :: Monad m => (a -> m [b]) -> [a] -> m [b]

listToMaybe :: [a] -> Maybe a

maybeRead :: String -> Maybe Int

A safe form of read.

spanFaces :: (Enum a, Num a, Ord b) => (Side -> Side -> b) -> [(a, b)]

Applies a function on the domain of Side x Side.

sides :: [Side]

List of the sides.

vecs :: [Vec]

List of the vectors.

multVec :: Numb -> Vec -> Vec

Multiple a vector by a scalar.

mapVec :: (Vec -> Vec -> a) -> [Vec] -> a

Convert a function with two vector arguments to one accepting a list of vectors.

det :: Matrix -> Int

The determinate of a matrix.

vecDet :: Vec -> Vec -> Vec -> Int

Calculate the determinate of a matrix constructed by three column vectors.

matrixMult :: Matrix -> Int -> Matrix

Multiple a matrix by a scalar.

cross :: Vec -> Vec -> Vec

The cross product of two vectors.

minus :: Vec -> Vec

Vector multipled by scalar -1.

vcomp :: Vec -> Int

Vectors we are interested in only have one non zero component.

vpos :: Vec -> Int

Position of non-zero vector component.

dot :: Vec -> Vec -> Numb

The dot product of two vectors.

gateMinus :: Numb -> Vec -> Vec

modMinus :: Numb -> Numb -> Vec -> Vec

modNot :: Numb -> Numb -> Numb