in haskell i

- - The Haskell Prelude has a lot of useful built-in functions related - to numbers and lists. In Part 2 of this lab, you will catalog many . - of these functions. . Below is the definition of a new color type (also called an - "enumeration type"). You will be using this, when you can, in - experimenting with the functions and operators below. data Color = Red Orange | Yellow | Green | Blue | Violet deriving (Show, Eq, ord, Enum) . For each of the Prelude functions listed below, give its type, . - describe briefly in your own words what the function does, answer - any questions specified, and give several examples of its use, . - including examples involving the color type, if appropriate (note - that Color, by the deriving clause, is an Eq, Ord, and Enum type). - - Include as many examples as necessary to illustration all of the - features of the function. Put your answers inside {} comments. - I've done the first one for you (note that " : " is my ghci prompt). - succ, pred {= succ :: Enum a a > a pred :: Enum aa>a For any Enum type, succ gives the next element of the type after the given one, and pred gives the previous. Asking for the succ of the last element of the type, or the pred of the first element of the type results in an error. :succ5 6 :succd ' 'e' : succ False True : succ True Exception: Prelude. Enum. Bool. succ: bad argument : succ Orange Yellow : succ Violet Exception: succ\{Color\}: tried to take 'succ' of last tag in enumeratic CallStack (from HascallStack): error, called at lab1.hs:18:31 in main:Main : pred 6 5 : pred ' e ' d ' : pred True False : pred False *** Exception: Prelude. Enum. Bool.pred: bad argument : pred Orange Red : pred Red *** Exception: pred\{Color\}: tried to take 'pred' of first tag in enumeration Callstack (from HasCallStack): error, called at lab1.hs:18:31 in main:Main 3 - - toEnum, fromEnum, enumFrom, enumFromThen, enumFromTo, enumFromThenTo - As one of your examples, try (toEnum 3) : Color ==,/= - quot, div (Q: what is the difference? Hint: negative numbers) - rem, mod (Q: what is the difference? Hint: negative numbers) - quotRem, divMod &&, - compare . - max, min . - concat - const - cycle - drop, take - e elem - even - - fst - gcd - - head .. id - - init - last - lcm - - length - - null - odd - repeat - replicate - - reverse - - snd - splitAt - - zip - The rest of these are higher-order, i.e., they take functions as - arguments. This means that you'll need to "construct" functions to - provide as arguments if you want to test them. - all, any - break - dropwhile, takewhile - filter - iterate - map - span