FP Laboratory 3

Usage of lists

Find out the results of the following operations:

[3,2,1] > [2,1,0]  
[3,2,1] > [2,10,100]  
[3,4,2] > [3,4]  
[3,4,2] > [2,4]  
[3,4,2] == [3,4,2]

Simple functions working with list

Implement following functions:

• Create a function that computes length of a list.

length' :: [a] -> Int

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

• Create a function that sums the list of integers.

sumIt :: [Int] -> Int

sumIt :: [Int] -> Int
sumIt []  = 0
sumIt (x:xs) = x + sumIt xs

• Create a function that returns the first element in the list.

getHead :: [a] -> a

getHead :: [a] -> a
getHead (x:_) = x

• Create a function that returns the last element in the list.

getLast :: [a] -> a

getLast :: [a] -> a
getLast (x:xs) | length xs == 0 = x
               | otherwise = getLast xs

• Create a function that checks if an element is a member of the list.

isElement :: Eq a => a -> [a] -> Bool

• Create a function that returns the list without the first element.

getTail :: [a] -> [a]

• Create a function that returns the list without the last element.

getInit :: [a] -> [a]

• Create a function that merge two lists into one list.

combine :: [a] -> [a] -> [a]

• Create a function that finds the maximum in the list of integers.

max' :: [Int] -> Int

• Create a function that reverse a list.

reverse' :: [a] -> [a]

• Create a function that product scalar multiplication if two vectors.

scalar :: [Int] -> [Int] -> Int