FP Laboratory 3

Simple functions working with list

Implement following functions:

• Create a function that computes length of a list.

length :: [a] -> Int

• Create a function that sums the list of integers.

sumIt :: [Int] -> Int

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

getHead :: [a] -> a

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

getLast :: [a] -> a

• 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 reverse a list.

reverse :: [a] -> [a]

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

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

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

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

• Create a function that find the smallest element in the list. Consider input restrictions.

minimum :: [a] -> a -- Is this right?

• Find all prime divisors of a given number.

divisors :: a -> [a]