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_contains_ : {A : Set} → List A → (A → Bool) → Bool | |
[] contains _ = false | |
(x :: xs) contains p = (p x) || (xs contains p) |
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_:+_ : {A : Set} → {n : ℕ} → A → Vec A n → Vec A (succ n) | |
a :+ [] = a :: [] | |
a :+ (x :: xs) = x :: (a :+ xs) |
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zipop : {A : Set} → {n : ℕ} → Vec A n → Vec A n → (A → A → A) → Vec A n | |
zipop [] [] _ = [] | |
zipop (x :: xs) (y :: ys) op = (op x y) :: (zipop xs ys op) |
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countdown : (n : ℕ) → Vec ℕ (succ n) | |
countdown zero = zero :: [] | |
countdown (succ m) = (succ m) :: (countdown m) |
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data Vec (A : Set) : ℕ → Set where | |
[] : Vec A zero | |
_::_ : {n : ℕ} → A → Vec A n → Vec A (succ n) |
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_flatMap_ : {A B : Set} → List A → (A → List B) → List B | |
[] flatMap _ = [] | |
(a :: xs) flatMap f = (f a) ++ (xs flatMap f) |
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_map_ : {A B : Set} → List A → (A → B) → List B | |
[] map _ = [] | |
(a :: xs) map f = (f a) :: (xs map f) | |
twothreefour : List ℕ | |
twothreefour = onetwothree map succ |
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_++_ : {A : Set} → List A → List A → List A | |
[] ++ l = l | |
(a :: xs) ++ l = a :: (xs ++ l) | |
reverse : {A : Set} → List A → List A | |
reverse [] = [] | |
reverse (a :: l) = (reverse l) ++ (a :: []) |
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length : {A : Set} → List A → ℕ | |
length [] = zero | |
length (a :: l) = succ (length l) |
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length₀ : (A : Set) → List A → ℕ | |
length₀ _ [] = zero | |
length₀ A (a :: l) = succ (length₀ A l) |