COSC 341/342  HW 1017  FALL 2017  More Haskell Exercises

Distributed 10/17/2017      Due: 10/24/2017

All code should be in a single file.  You will need to submit code 
AND screen shot of it working.

The currying black boxes will be hand-written on separate paper. 

Give the solutions in numerical order.

1. f a b = a ^ b

1. A. Show the blackbox and arrow description of the currying.

1. B. Explicitly give partially applied definitions for

      f 2 3

2. g a b c = a ^ b / c

   2. A. Show the blackbox and arrow description of the currying.
   2. B. Explicitly give partially applied definitions for

         g 2 3 4

3. disc a b c =
     b ^ 2 - 4 * a * c
  
   3. A. Show the blackbox and arrow description of the currying.
   
  3. B. Explicitly give partially applied definitions for 
  
        disc 1 2 1

4. A. Give a function that uses list comprehension to implement the
map function. Your function is named map'

4. B. Demonstrate your map' works on
map' (3:) [ [], [2, 4], [1, 2, 3, 4] ]
map' (++ "!") ["abc", "XYZ"]

5. A. Give a function using list comprehension and predicates to implement
the filter function. Your function is named filter'

5. B. Demonstrate your filter' works on
filter' (>3) [4, 2, 5, 1, 7]
filter' (`elem` ['a'..'z']) "What Planet Is THIS?"