COSC 341/342 WINTER 2015

Haskell mini project

Distributed 3/3/2015   Due 3/12/2015

(1) For the following built-in Haskell functions (and operators), complete this table
(for preference, use chapter 1 of the Haskell book, however any source of information
is acceptable).
I have filled in the first and third rows,

function    prefix/	   # parameters	    parameter types          example                 description
             infix
----------------------------------------------------------------------------------------------------------
&&           infix        2             Boolean, Boolean         x>5 && True               logical AND

not

succ        prefix        1               enumerable types       succ 'a'               succeeding element
                                         e.g., char, int
`div`

++
:
!!

..

<=

<-

|

head
tail
init
last
length
reverse
take
drop

elem
`elem`

sum

fst
snd
zip


(2) Using list comprehension and filtering as much as possible, write and
demonstrate functions that do the following. You can (and, whenever reasonable 
you should) use more than one function for each solution.  

You can use your own choice of names for functions, however each solution must
be clearly commented, e.g.,    --  Solution 2.e  --

2.a. Obtain the list of numbers that are the squares of integers in a list of 
numbers.

2.b. Obtain the list of numbers that are the square root of the integers in a 
list of integers; the resulting list contains only the integer valued square 
roots. For the list [ 0 .. 16 ], the correct result is [0, 1, 2, 3, 4]

2.c. Obtain the string by removing all vowels ['a', 'e', 'i', 'o', 'u') from a 
given string.

2.d. For a 6-sided die, obtain all the ways you can get a 7 from the sum of 
two dice.
The correct answer is [ [1,6], [6,1], [2,5], [5,2], [3,4], [4,3] ]

2.e. Give a list of unique names (Example: 
["fluffy", "killer", "pooky", "skippy", "spot", "baron"] ), 
a list of unique transitive verbs (example: ["loves", "kicks", "bites", "feeds"] ),
return a list (length 3) of triples (3-tuples) of form (name, verb, name), where
the first name is different from the last name. E.g., for the lists above, 
a correct answer is: 
[ ("fluffy", "loves", "killer"), ("pooky", "feeds", "fluffy"), 
  ("baron", "feeds", "spot") ]