From ad8d2471a750841d192757675b9c14cb70fc67ea Mon Sep 17 00:00:00 2001 From: Michael Zhang Date: Mon, 25 Jan 2021 09:52:24 -0600 Subject: [PATCH] initiial --- haskell-book.hs | 130 ++++++++++++++++++++++++++++++++++++++++++++++++ minimal-elf | Bin 0 -> 24 bytes 2 files changed, 130 insertions(+) create mode 100644 haskell-book.hs create mode 100755 minimal-elf diff --git a/haskell-book.hs b/haskell-book.hs new file mode 100644 index 0000000..67d63fd --- /dev/null +++ b/haskell-book.hs @@ -0,0 +1,130 @@ +{-# LANGUAGE NoImplicitPrelude #-} + +import Prelude hiding (map, filter, foldl, foldr, takeWhile) +import Debug.Trace + +-- Base + +map :: (a -> b) -> [a] -> [b] +map f [] = [] +map f (x : xs) = f x : map f xs + +filter :: (a -> Bool) -> [a] -> [a] +filter f [] = [] +filter f (x : xs) = if f x then x : filter f xs else filter f xs + +foldl :: (b -> a -> b) -> b -> [a] -> b +foldl f e [] = e +foldl f e (x : xs) = foldl f (f e x) xs + +foldr :: (a -> b -> b) -> b -> [a] -> b +foldr f e [] = e +foldr f e (x : xs) = f x (foldr f e xs) + +inserts :: a -> [a] -> [[a]] +inserts x [] = [[x]] +inserts x (y : ys) = (x : y : ys) : map (y :) (inserts x ys) + +perms1 :: [a] -> [[a]] +perms1 [] = [[]] +perms1 (x : xs) = [zs | ys <- perms1 xs, zs <- inserts x ys] + +-- Exercise 1.2 + +uncons :: [a] -> Maybe (a, [a]) +uncons [] = Nothing +uncons (hd : tl) = Just (hd, tl) + +-- Exercise 1.3 + +wrap :: a -> [a] +wrap x = [x] + +unwrap :: [a] -> a +unwrap [x] = x + +single :: [a] -> Bool +single [x] = True +single _ = False + +-- Exercise 1.4 + +reverse :: [a] -> [a] +reverse = foldl (\a x -> x : a) [] + +-- Exercise 1.5 + +map2 :: (a -> b) -> [a] -> [b] +map2 f = foldr (\x a -> f x : a) [] + +filter2 :: (a -> Bool) -> [a] -> [a] +filter2 f = foldr (\x a -> if f x then x : a else a) [] + +-- Exercise 1.6 + +composed :: (a -> b -> b) -> (a -> Bool) -> b -> [a] -> b +composed f p e = foldr f e . filter p + +composed2 :: (a -> b -> b) -> (a -> Bool) -> b -> [a] -> b +composed2 f p = foldr (\x a -> if p x then f x a else a) + +-- Exercise 1.7 + +takeWhile :: (a -> Bool) -> [a] -> [a] +takeWhile f = foldr (\x a -> if f x then x : a else []) [] + +-- Exercise 1.8 + +dropWhileEnd :: Eq a => (a -> Bool) -> [a] -> [a] +dropWhileEnd f = foldr (\x a -> if f x && a == [] then [] else x : a) [] + +-- Exercise 1.9 +-- This implementation is insanely slow because both `init` and `last` are O(n) + +-- Exercise 1.10 +-- e is the identity, op is associative + +-- Exercise 1.11 + +integer :: [Int] -> Int +integer = foldl (\a x -> 10 * a + x) 0 + +fraction :: [Int] -> Double +fraction = (/ 10) . foldr (\x a -> fromIntegral x + a / 10) 0 + +-- Exercise 1.12 +-- Fuck this + +-- Exercise 1.13 + +apply :: Int -> (a -> a) -> a -> a +apply 0 f x = x +apply n f x = apply (n - 1) f (f x) + +-- Exercise 1.14 + +-- inserts2 :: Show a => a -> [a] -> [[a]] +inserts2 n = foldr (\x (a, b) -> (trace ("{"++show a++","++show b++"}") (x : a), b)) ([], []) + +-- 1 [2,3,4] +-- +-- 1:2:3:4 +-- map (2:) (inserts 1 [3,4]) +-- 2: 1:3:4 +-- 2: map (3:) (inserts 1 [4]) +-- 2:3: 1:4 +-- 2:3: map (4:) (inserts 1 []) +-- 2:3:4: 1 + +-- Exercise 1.15 + +remove :: Eq a => a -> [a] -> [a] +remove x ys = filter (/= x) ys + +perms3 :: Eq a => [a] -> [[a]] +perms3 [] = [[]] +perms3 xs = [x : ys | x <- xs, ys <- perms3 (remove x xs)] + +-- Exercise 1.16 + + diff --git a/minimal-elf b/minimal-elf new file mode 100755 index 0000000000000000000000000000000000000000..655d96efe90eabb96bf31ddf7072cd111360688b GIT binary patch literal 24 Wcmb<-^>JfjWMqH=W(GS35Dx$#Rso#= literal 0 HcmV?d00001