Learn how to use first-class and higher-order functions:

• First-class functions
• Anonymous functions
• Map (including andmap and ormap)
• Filter
• Fold

You will again use DrRacket, which you should have downloaded and installed for the previous labs.

For this lab, you will need to reimplement the following functions from the previous lab using Racket's higher-order functions map (including andmap and ormap), filter, or foldr. You may not use functions that take or return indices, such as index-of or list-ref:

• convertFC
• check-temps1
• check-temps
• convert
• duple
• average
• eliminate-larger

You must write these using higher-order functions rather than implementing the recursion yourself. As with the previous lab, you may not use set!.

In addition, you will need to implement the following function:

• curry2

(define (curry2 func) ...)

where func is a two-parameter function and the result is a curried version of that two-parameter function.

You may not use any built-in curry functions to implement this.

Hint: You don't need to know what the function passed in actually does. All you need to know is that it requires two parameters, and once you have those parameters you use the function.

You again do not need to bulletproof the code to enforce proper inputs. Your code only needs to return correct values given correct inputs.

You may also use other higher-order functions such as andmap, ormap, etc., but these are not required These short-circuit the map-and-fold process rather than performing all of the mapping and then folding the results. You will find that trying to pass the and and or operators to higher-order functions won't work because they are special forms and not just ordinary functions.

• Look at the pattern or recursion used for each problem in the previous assignment and then choose a suitable higher-order function for that.
• Remember:
  • If you want to do something to each element of a list one-by-one and return a list of the results, use map.
  • If you want to test each element of a list using a true/false predicate and get a list of those that pass the test, use filter. (If you want to see if any or all of the elements in the list pass the test, look at ormap and andmap, respectively. You can also see if any passed the test by checking whether the result of filter is an empty list.)
  • If you want to recurse through the list and at each level do something to the first thing in the list and the already-recursed-through rest of the list, use foldr. (This is quite general, and you can even use it instead of map or filter, but you might find the other two easier in many cases. But some will require using foldr.)
• When using foldr, the trick is to figure out what to use for the folding operator. Remember that when called it will receive two parameters: the first thing in the list and the already folded rest of the list. (There's a bit of a leap of faith here, just like recursion.) Then think about what it is you want to do with those two pieces of data. Be careful with your selection of the base for the folding as well and use what you would return for the empty list.
• If your recursive implementation of some of these involved a helper function that also recursed through some list (or sublist), consider using two higher-order functions, one for each recursive function that you wrote earlier.