151 lines
5.5 KiB
Haskell
151 lines
5.5 KiB
Haskell
import Problems ( myLast, lastTwo, kth, myLength, rev, isPalindrome, flatten, NestedList(..), compress, pack, encode )
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--import Primes ( aspGetNextPrime, aspIsPrime, aspPrimes )
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import Data.Numbers.Primes ( isPrime, primes, primeFactors )
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import Math ( mandlebrot )
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-- Unit testing
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main :: IO()
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main = do
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testMisc
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testProblems
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testPrimes
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mandlebrot
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testMisc :: IO()
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testMisc = do
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putStrLn ("A ranged list from 1 to 1 is " ++ show (range 1 1))
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putStrLn ("A ranged list from -2 to 7 is " ++ show (range (-2) 7))
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putStrLn ("A ranged list from 7 to -2 is " ++ show (range 7 (-2)))
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let tab = [2,1,10,6,3,8,1,1,6,3] :: [Int]
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putStrLn ("The initial list is " ++ show tab)
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putStrLn ("The unique list is " ++ show (nub tab))
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putStrLn ("Is the initial list in ascending order ? " ++ show (isAsc tab))
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putStrLn ("Is 1..10 in ascending order ? " ++ show (isAsc (range 1 10)))
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putStrLn ("Is 10..1 in ascending order ? " ++ show (isAsc (range 10 1)))
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putStrLn ("Is 3 is the list ? : " ++ show (isInList 3 tab))
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putStrLn ("Is 4 is the list ? : " ++ show (isInList 4 tab))
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putStrLn ("Is 5 is the list ? : " ++ show (isInList 5 tab))
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putStrLn ("Is 10 is the list ? : " ++ show (isInList 10 tab))
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putStrLn ("The sorted list is " ++ show (sortList tab))
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putStrLn ("The reverse sorted list is " ++ show (revSortList tab))
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putStrLn ("FizzBuzz 50 " ++ show (fizzBuzz [0..50]))
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putStrLn ("Fionacci 10 " ++ show (fibonacci 10))
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putStrLn ("FionacciList 10 " ++ show (fibonnaciSequence 10))
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testProblems:: IO()
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testProblems = do
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let assert :: (Eq a) => (Show a) => String -> a -> a -> String
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assert n r e = "Problem " ++ n ++ (if r == e then " Success" else " Failed, expected " ++ show e ++ " but got " ++ show r)
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putStrLn (assert "1a" (myLast [1, 2, 3, 4]) (Just 4))
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putStrLn (assert "1b" (myLast ([] :: [Bool])) Nothing)
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putStrLn (assert "1c" (myLast ['x', 'y', 'z']) (Just 'z'))
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putStrLn (assert "2a" (lastTwo ['a', 'b', 'c', 'd']) (Just ('c', 'd')))
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putStrLn (assert "2b" (lastTwo ['a']) Nothing)
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putStrLn (assert "3a" (kth ['a', 'b', 'c', 'd', 'e'] 2) (Just 'c'))
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putStrLn (assert "3b" (kth ['a'] 2) Nothing)
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putStrLn (assert "4a" (myLength ['a', 'b', 'c']) 3)
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putStrLn (assert "4b" (myLength []) 0)
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putStrLn (assert "4c" (myLength "Hello, world!") 13)
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putStrLn (assert "5 " (rev ['a', 'b', 'c']) ['c', 'b', 'a'])
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putStrLn (assert "6a" (isPalindrome ['x', 'a', 'm', 'a', 'x']) True)
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putStrLn (assert "6b" (isPalindrome ['a', 'b']) False)
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putStrLn (assert "7a" (flatten (Elem 5)) [5])
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putStrLn (assert "7b" (flatten (List [Elem 1, List [Elem 2, List [Elem 3, Elem 4], Elem 5]])) [1, 2, 3, 4, 5])
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putStrLn (assert "7c" (flatten (List [])) ([] :: [Int]))
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putStrLn (assert "8 " (compress "aaabccaadeeee") "abcade")
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putStrLn (assert "9 " (pack ['a', 'a', 'a', 'a', 'b', 'c', 'c', 'a', 'a', 'd', 'e', 'e', 'e', 'e']) ["aaaa", "b", "cc", "aa", "d", "eeee"])
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--putStrLn (assert "10" (encode "aaabccaadeeee") [(4, 'a'),(1, 'b'),(2, 'c'),(2, 'a'),(1, 'd'),(4, 'e')])
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testPrimes:: IO()
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testPrimes = do
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putStrLn ("Is 2 prime ? " ++ show (isPrime 2))
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putStrLn ("Is 15 prime ? " ++ show (isPrime 15))
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putStrLn ("Is 17 prime ? " ++ show (isPrime 17))
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--putStrLn ("ASP : Is 2 prime ? " ++ show (aspIsPrime 2))
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--putStrLn ("ASP : Is 15 prime ? " ++ show (aspIsPrime 15))
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--putStrLn ("ASP : Is 17 prime ? " ++ show (aspIsPrime 17))
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putStrLn ("primeFactors 15 " ++ show (primeFactors 15))
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putStrLn ("primeFactors 45154 " ++ show (primeFactors 45154))
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--putStrLn ("ASP : primeFactors 15 " ++ show (aspPrimeFactors 15))
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--putStrLn ("ASP : primeFactors 45154 " ++ show (aspPrimeFactors 45154))
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putStrLn ("primes : " ++ show (take 15 primes))
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--putStrLn ("ASP : primes : " ++ show (take 15 aspPrimes))
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-- Sorting a given list
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sortList :: [Int] -> [Int]
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sortList [] = []
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sortList (x:xs) = sortList ys ++ [x] ++ sortList zs
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where
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ys = [a | a <- xs, a < x]
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zs = [a | a <- xs, a >= x]
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-- Reverse sorting a given list
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revSortList :: [Int] -> [Int]
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revSortList [] = []
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revSortList (x:xs) = revSortList ys ++ [x] ++ revSortList zs
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where
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ys = [a | a <- xs, a >= x]
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zs = [a | a <- xs, a < x]
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-- Is a certain element in a given list ?
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isInList :: (Eq a) => a -> [a] -> Bool
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isInList _ [] = False
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isInList e (x:xs) = (e == x) || isInList e xs
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-- Create a list between from a to b
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range :: Int -> Int -> [Int]
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range a b
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| a == b = [b]
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| a > b = rev (range b a)
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| otherwise = [a..b]
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-- Remove all duplicates from a given list
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nub :: (Eq a) => [a] -> [a]
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nub [] = []
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-- Remove duplicates after (tail recursion)
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nub (x:xs) = x : nub [a | a <- xs, a /= x]
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-- Remove duplicates before (no tail recursion)
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--nub (x:xs) = if x `elem` xs then nub xs else x : nub xs
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-- Is a given list in an ascending order ?
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isAsc :: (Ord t) => [t] -> Bool
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isAsc [] = True
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isAsc [x] = True
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isAsc (x:y:xs) = (x <= y) && isAsc (y:xs)
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-- FizzBuzz
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fizzBuzz :: [Int] -> [[Char]]
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fizzBuzz [] = []
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fizzBuzz (x:xs) = isFizzBuzz x : fizzBuzz xs
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where
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isFizzBuzz :: Int -> [Char]
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isFizzBuzz x
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| mod x 15 == 0 = "FizzBuzz"
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| mod x 5 == 0 = "Buzz"
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| mod x 3 == 0 = "Fizz"
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| otherwise = show x
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-- Fibonnaci number at indice n
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fibonacci :: Int -> Int
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fibonacci 0 = 0
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fibonacci 1 = 1
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fibonacci n = fibonacci (n - 1) + fibonacci (n - 2)
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-- Fibonnaci sequence until indice n
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fibonnaciSequence :: Int -> [Int]
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fibonnaciSequence 0 = [0]
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fibonnaciSequence 1 = [1]
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fibonnaciSequence n = fibonnaciSequence (n - 1) ++ [fibonacci n]
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