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Ingy döt Net 2023-07-01 11:58:00 -04:00
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Task/Matrix-multiplication/Idris/matrix-multiplication.idris Normal file
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import Data.Vect
Matrix : Nat -> Nat -> Type -> Type
Matrix m n t = Vect m (Vect n t)
multiply : Num t => Matrix m1 n t -> Matrix n m2 t -> Matrix m1 m2 t
multiply a b = multiply' a (transpose b)
where
dot : Num t => Vect n t -> Vect n t -> t
dot v1 v2 = sum $ map (\(s1, s2) => (s1 * s2)) (zip v1 v2)
multiply' : Num t => Matrix m1 n t -> Matrix m2 n t -> Matrix m1 m2 t
multiply' (a::as) b = map (dot a) b :: multiply' as b
multiply' [] _ = []