-- Binary search in Haskell
-- Precondition: the list is sorted in ascending order
-- Postcondition: the function returns the index of the target element if found, or Nothing otherwise
-- Invariant: the search space is always within the bounds of the list
-- Variant: the search space decreases by half at each recursive call
-- Internal state: the lower and upper bounds of the search space
binarySearch :: Ord a => [a] -> a -> Maybe Int
binarySearch xs x = go xs x 0 (length xs - 1)
where
go xs x lo hi
| lo > hi = Nothing -- base case: search space is empty
| x == midElem = Just mid -- base case: target element is found
| x < midElem = go xs x lo (mid - 1) -- recursive case: search in the left half
| otherwise = go xs x (mid + 1) hi -- recursive case: search in the right half
where
mid = lo + (hi - lo) `div` 2 -- calculate the middle index using a safer formula to avoid overflow
midElem = xs !! mid -- get the middle element
-- Print results using putStrLn
main :: IO ()
main = do
let xs = [1, 3, 5, 7, 9] -- a sorted list of integers
let x = 5 -- a target element to search for
let result = binarySearch xs x -- call the binary search function
case result of -- pattern match on the result
Nothing -> putStrLn "Element not found" -- print a message if Nothing is returned
Just i -> putStrLn $ "Element found at index " ++ show i -- print a message with the index if Just i is returned
Write, Run & Share Haskell code online using OneCompiler's Haskell online compiler for free. It's one of the robust, feature-rich online compilers for Haskell language, running the latest Haskell version 8.6. Getting started with the OneCompiler's Haskell editor is easy and fast. The editor shows sample boilerplate code when you choose language as Haskell and start coding.
OneCompiler's Haskell online editor supports stdin and users can give inputs to programs using the STDIN textbox under the I/O tab. Following is a sample Haskell program which takes name as input and prints hello message with your name.
main = do
name <- getLine
putStrLn ("Hello " ++ name ++ ", Happy learning!")
Haskell is purely a functional programming language which was introduced in 1990's.
| Data-type | Description |
|---|---|
| Numbers | Haskell is intelligent to identify numbers without specifying data type |
| Characters | Haskell is intelligent to identify characters and strings without specifying data type |
| Tuple | To declare multiple values in a single data type. Tuples are represented in single paranthesis. For example (10, 20, 'apple') |
| Boolean | To represent boolean values, true or false |
| List | To declare same type of values in a single data type. Lists are represented in square braces.For example [1, 2, 3] or `['a','b','c','d'] |
When ever you want to perform a set of operations based on a condition or set of conditions, then If-Else/ Nested-If-Else are used.
main = do
let age = 21
if age > 18
then putStrLn "Adult"
else putStrLn "child"
Function is a sub-routine which contains set of statements. Usually functions are written when multiple calls are required to same set of statements which increases re-usuability and modularity. Functions play an important role in Haskell, since it is a purely functional language.
multiply :: Integer -> Integer -> Integer --declaration of a function
multiply x1 x2 = x1 * x2 --definition of a function
main = do
putStrLn "Multiplication value is:"
print(multiply 10 5) --calling a function