blog-rekahsoft-ca/posts/a-new-post.markdown

---
title: A New Post
author: Collin J. Doering
date: 2013-12-18
description: An Article about nothing really
updated: 2013-12-07
tags: general, programming, linux
---

Run a manual sweep of anomalous airborne or electromagnetic readings. Radiation levels in our atmosphere have increased by 3,000 percent. Electromagnetic and subspace wave fronts approaching synchronization. What is the strength of the ship's deflector shields at maximum output? The wormhole's size and short period would make this a local phenomenon. Do you have sufficient data to compile a holographic simulation?

<!--more-->
Exceeding reaction chamber thermal limit. We have begun power-supply calibration. Force fields have been established on all turbo lifts and crawlways. Computer, run a level-two diagnostic on warp-drive systems. Antimatter containment positive. Warp drive within normal parameters. I read an ion trail characteristic of a freighter escape pod. The bomb had a molecular-decay detonator. Detecting some unusual fluctuations in subspace frequencies.

``` {.haskell .code-term .numberLines}
{-# LANGUAGE ExistentialQuantification #-}

-- File: rdm.hs
-- Date: 02/10/2010
-- Author: Collin J. Doering <rekahsoft@gmail.com>
-- Description: Random source file to experiment while learning haskell

import System.IO
import Data.List
import Data.Foldable (foldr')
import Data.Function
import System.Posix.User
import Control.Monad

nameSpam :: IO ()
nameSpam s = putStrLn $ fst $ foldr (\x (a, i) -> (take i (repeat x) ++ a, i - 1)) ("", length s) s

printTriangle :: Char -> Int -> IO ()
printTriangle c i = pTriangle c 1
  where pTriangle c j
          | j > i = return ()
          | otherwise = putStrLn (take j (repeat c)) >>
                        pTriangle c (j + 1)

printTriangle' :: Char -> Int -> IO ()
printTriangle' _ 0 = return ()
printTriangle' c i = putStrLn (take i (repeat c)) >> printTriangle' c (i - 1)

printTriangle'' :: Char -> Integer -> IO ()
printTriangle'' c n = putStrLn $ foldr' (\i a -> (take i $ repeat c) ++ "\n" ++ a) "" [1..n]

factorial :: Integer -> Integer
factorial x = if x <= 1 then 1
              else x * factorial (x - 1)

-- The factorial function using fix points
factorial' = fix (\f x -> if x <= 1 then 1 else x * f(x - 1))

factorial'' = fix (\f acc x -> if x <= 1 then acc else f (acc * x) (x - 1)) 1

factorial1 :: Integer -> Integer
factorial1 0 = 1
factorial1 xs = xs * factorial1 (xs - 1)

squareList :: [Double] -> [Double]
squareList lst = if null lst then []
                 else (square (head lst)):(squareList (tail lst))
                      where square x = x * x

squareList1 :: [Double] -> [Double]
squareList1 [] = []
squareList1 (x:xs) = (square x):(squareList1 xs)
                     where square x = x * x

squareList2 = map (\x -> x * x)

fib :: Integer -> Integer
fib 0 = 0
fib 1 = 1
fib x = fib (x-1) + fib (x-2)

-- Playing with datatypes
data Posn = Posn2D { x :: Int, y :: Int }
          | Posn3D { x :: Int, y :: Int, z :: Int }
          deriving (Show, Eq, Ord)

-- Real World Haskell Exercises
data List a = Cons a (List a)
            | Nil
              deriving (Show)

listToBIL :: List a -> [a]
listToBIL (Cons a xs) = a:(listToBIL xs)
listToBIL Nil = []

myLength :: [a] -> Integer
myLength [] = 0
myLength x = 1 + myLength (drop 1 x)

myLength1 :: [a] -> Integer
myLength1 lst = let myLength1Help [] acc = acc
                    myLength1Help (_:xs) acc = myLength1Help xs (acc + 1)
                in myLength1Help lst 0

myLength2 :: [a] -> Int
myLength2 lst = myLength2' lst 0
  where myLength2' [] a = a
        myLength2' (_:xs) a = myLength2' xs (a + 1)

meanOfList :: [Double] -> Double
meanOfList lst = meanSum lst 0 0
  where meanSum [] s l
          | l /= 0 = s / l
          | otherwise = 0
        meanSum (x:xs) s l = meanSum xs (s + x) (l + 1)

listToPalindrome :: [a] -> [a]
listToPalindrome [] = []
listToPalindrome x = x ++ reverse x

isPalindrome :: (Eq a) => [a] -> Bool
isPalindrome x
  | mod len 2 == 0 && take (div len 2) x == reverse (drop (div len 2) x) = True
  | otherwise                                                            = False
  where len = length x

foldrmap :: (a -> b) -> [a] -> [b]
foldrmap fn = foldr (\x y -> (fn x):y) []
--foldrmap fn = foldr ((:) . fn) []

foldrcopy :: [a] -> [a]
foldrcopy = foldr (:) []

foldrappend :: [a] -> [a] -> [a]
foldrappend a b = foldr (:) b a

foldrlength :: [a] -> Int
foldrlength = foldr (\x y -> y + 1) 0

foldrsum :: (Num a) => [a] -> a
foldrsum = foldr (+) 0

--myfoldr fn init lst = myFoldrHelper ...

myMap :: (a -> b) -> [a] -> [b]
myMap f xs = [f x | x <- xs]

myMap1 :: (a -> b) -> [a] -> [b]
myMap1 _ [] = []
myMap1 f (x:xs) = f x : myMap1 f xs

mapWithFilter :: (a -> b) -> (a -> Bool) -> [a] -> [b]
mapWithFilter f p xs = [f x | x <- xs, p x]

mapWithFilter1 :: (a -> b) -> (a -> Bool) -> [a] -> [b]
mapWithFilter1 _ _ [] = []
mapWithFilter1 f p (x:xs)
  | p x = f x : mapWithFilter1 f p xs
  | otherwise = mapWithFilter1 f p xs

mapWithFilter2 :: (a -> b) -> (a -> Bool) -> [a] -> [b]
mapWithFilter2 f p = map f . filter p

-- A neat little closure
myFlip :: (a -> b -> c) -> b -> a -> c
myFlip f = \a b -> f b a

compose :: (a -> b) -> (c -> a) -> (c -> b)
compose f g = \x -> f(g(x))

disemvowel :: String -> String
disemvowel = unwords . filter p . words
  where p = flip elem "AaEeIiOoUu" . head

-- questions from http://www.haskell.org/haskellwiki/Hitchhikers_guide_to_Haskell
greeter = do
  putStrLn "Hello there! May i ask your name?"
  name <- getLine
  if name == "no"
    then putStrLn "Well, sorry i asked..goodbye!"
    else putStrLn ("Well hello there " ++ name ++ ", it's nice to meet you!")

-- The above greeter "de-sugared"
greeter2 :: IO ()
greeter2 = putStrLn "Hello there! May i ask your name?"
           >> getLine
           >>= \name -> if name == "no"
                        then putStrLn "Well, sorry i asked..goodbye!"
                        else putStrLn ("Well hello there " ++ name ++ ", it's nice to meet you!")

safeHead :: [a] -> Maybe a
safeHead [] = Nothing
safeHead (x:xs) = Just x

myTail :: [a] -> [a]
myTail [] = []
myTail (_:xs) = xs

-- Old version..why not make it for all monads?
-- myLiftM :: (a -> b) -> IO a -> IO b
-- myLiftM f a = a >>= \x -> return (f x)

{-  Here is a generic version of myLiftM, which has the same behavior as liftM. 
    Though the standard library chose to use do notation rather then the monadic
    bind function (>>=), they are actually the same once the do notation is
    de-sugared. Finally, notice the only thing that got changed here was the type
    signature.
-}
myLiftM :: Monad m => (a -> b) -> m a -> m b
myLiftM f a = a >>= \x -> return (f x)

--nthDigit :: Integer -> Integer -> Integer
--nthDigit n i = floor(10 * (f - floor(f)))
--  where f = n/10^(i+1)

-- Implementation of a Maybe like type
data Perhaps a = PNone
               | PJust a
               deriving (Eq,Ord,Show)

instance Functor Perhaps where
  fmap _ PNone = PNone
  fmap f (PJust x) = PJust (f x)

instance Monad Perhaps where
  (PJust a) >>= f = f a
  PNone >>= _ = PNone
  
  return a = PJust a

instance MonadPlus Perhaps where
  mzero = PNone
  
  mplus (PJust a) _ = PJust a
  mplus PNone (PJust a) = PJust a
  mplus _ _ = PNone

-- Simple Binary Tree type
data Tree a = Empty
            | Node a (Tree a) (Tree a)
            deriving (Show, Eq)

instance Ord m => Ord (Tree m) where
  _ >= Empty = True
  (Node a _ _) >= (Node b _ _) = a >= b
  _ >= _ = False
  
  _ <= Empty = True
  (Node a _ _) <= (Node b _ _) = a <= b
  _ <= _ = False

leaf :: a -> Tree a
leaf x = Node x Empty Empty

balanced :: Ord a => Tree a -> Bool
balanced Empty = True
balanced nd@(Node _ ls rs) = nd >= ls && nd <= rs && balanced ls && balanced rs

depth :: Tree a -> Int
depth Empty = 0
depth (Node _ ls rs) = 1 + max (depth ls) (depth rs)

-- A parser type
type Parser a = String -> [(a,String)]

-- Questions from Book "Programming in Haskell"
-- Excercises 5.8

-- Given an even list returns a pair of its halves
halve :: [a] -> ([a],[a])
halve xs
  | length xs `mod` 2 == 0 = (take halfLen xs, drop halfLen xs)
  | otherwise              = ([],[])
  where halfLen = (length xs `div` 2)
        
safeTailA :: [a] -> [a]
safeTailA xs = if null xs then [] else tail xs

safeTailB :: [a] -> [a]
safeTailB xs
  | null xs = []
  | otherwise = tail xs

safeTailC :: [a] -> [a]
safeTailC [] = []
safeTailC (x:xs) = xs

-- Did a version using the Maybe type for entertainment
safeTail :: [a] -> Maybe [a]
safeTail [] = Nothing
safeTail (x:xs) = Just xs

myReplicate :: Int -> a -> [a]
myReplicate i e = [x | _ <- [1..i], x <- [e]]

pythagoreans :: Int -> [(Int,Int,Int)]
pythagoreans i = [(x,y,z) | x <- [1..i], y <- [1..i], z <- [1..i], x^2 + y^2 == z^2]

scalarProduct :: [Int] -> [Int] -> Int
scalarProduct xs ys = sum [x * y | (x,y) <- zip xs ys]

-- Excercise 7.8
toPowerOf :: Int -> Int -> Int
x `toPowerOf` 0 = 1
x `toPowerOf` n = x * (x `toPowerOf` (n-1))

myAnd :: [Bool] -> Bool
myAnd [] = True
myAnd (x:xs)
  | x = myAnd xs
  | otherwise = False

myAndFoldr :: [Bool] -> Bool
myAndFoldr = foldr (&&) True

myConcat :: [[a]] -> [a]
myConcat [] = []
myConcat (x:xs) = x ++ myConcat xs

myReplicateR :: Int -> a -> [a]
myReplicateR 0 _ = []
myReplicateR n e = e : myReplicateR (n-1) e

nthElem :: [a] -> Int -> a
nthElem (x:xs) 0 = x
nthElem (x:xs) n = nthElem xs (n-1)
nthElem [] _ = undefined

nthElemSafe :: [a] -> Int -> Maybe a
nthElemSafe (x:xs) 0 = Just x
nthElemSafe (x:xs) n = nthElemSafe xs (n-1)
nthElemSafe [] _ = Nothing

myElem :: Eq a => a -> [a] -> Bool
myElem _ [] = False
myElem e (x:xs)
  | e == x = True
  | otherwise = myElem e xs

merge :: Ord a => [a] -> [a] -> [a]
merge [] [] = []
merge [] ys = ys
merge xs [] = xs
merge (x:xs) (y:ys)
  | x < y = x:merge xs (y:ys)
  | x == y = x:y:merge xs ys
  | otherwise = y:merge (x:xs) ys

msort :: Ord a => [a] -> [a]
msort [] = []
msort [x] = [x]
msort xs = merge (msort (take halflen xs)) (msort (drop halflen xs))
  where halflen = length xs `div` 2

-- Other random functions

increasing :: Ord a => [a] -> Bool
increasing [] = False
increasing (x:xs) = inc xs x True
  where inc [] _ bl = True
        inc (_:_) _ False = False
        inc (x:xs) a True = inc xs x (a < x)

-- Could implement the error handling for the empty list case below
-- using Maybe instead of error resulting in a type:
-- mymax :: Ord a => [a] -> Maybe a
mymax :: Ord a => [a] -> a
mymax [] = error "A empty list has no maximum"
mymax (x:xs) = aux xs x
  where aux [] y = y
        aux (x:xs) y
          | x > y = aux xs x
          | otherwise = aux xs y

-- A seemingly nicer implementation of mymax above
mymax2 :: Ord a => [a] -> Maybe a
mymax2 [] = Nothing
mymax2 (x:xs) = Just $ foldr' lrgr x xs
  where lrgr a b
          | a > b = a
          | otherwise = b

flatten :: [[a]] -> [a]
flatten [] = []
flatten (x:xs) = x ++ flatten xs

-- Note: the definition below is the same as: flatten' = foldr (++) []
flatten' :: [[a]] -> [a]
flatten' xss = flat xss []
  where flat [] acc = acc
        flat (y:ys) acc = let nacc = acc ++ y
                          in nacc `seq` flat ys nacc

-- Implementation of the square root function using fixed points *doesn't work*
sqrt' x = fix (\f y -> if ((y * y) - x) / x <= 0.0001 then y else y / x) x

-- Learning from https://en.wikibooks.org/wiki/Haskell/Existentially_quantified_types
data ShowBox = forall s. Show s => SB s

instance Show ShowBox where
  show (SB a) = show a

type HList = [ShowBox]

heterogeniusList :: HList
heterogeniusList = [SB 1, SB ['a'..'c'], SB 'd', SB 3]

-- How do i pattern match on (SB a) when a would be a list of depth n
-- Is it possible to restrict ShowBox to only hold non-list values?
-- flattenHList :: HList -> HList
-- flattenHList [] = []
-- flattenHList (x:xs) = 

-- Questions from the haskell wiki
-- url: http://www.haskell.org/haskellwiki/99_questions/1_to_10

-- 1
myLast :: [a] -> a
myLast lst = lst !! (len - 1)
	where len = length lst

myLast2 :: [a] -> a
myLast2 [] = error "No last element!"
myLast2 (x:[]) = x
myLast2 (x:xs) = myLast2 xs

-- Blank main function (can test things here)
main :: IO ()
main =  undefined
```