QUESTION 44

(d) What is the type of f in Part (c)? [1 mark] (e) Write a function pack as xs n that takes a list of integers and a nested list; the function should return a new nested list with the same structure as n, with integers that correspond to the integers in list xs. Note: It is acceptable for the function to fail when the number of elements differ. Example: > pack_as [1, 2, 3] (Nest [Atom 9, Nest [Atom 8, Atom 7]]); val it = Nest [Atom 1, Nest [Atom 2, Atom 3]]: nested_list [6 marks] (f ) What does the data type nested zlist correspond to? [2 marks] datatype nested_zlist = ZAtom of int | ZNest of (unit -> nested_zlist list); (g) Write the function that converts a nested zlist to a nested list.

(a) What are typical applications of RGB, HLS, and CIE L*a*b* colour spaces? Compare and contrast these spaces. [7 marks] (b) Explain the purpose of two-step transformation from linear, scene-referred colour values to the display encoded values. [7 marks]