CSci 1301: Problem Set 11 (Tail-recursion)

Due: Thursday, December 9th at 11:59pm by e-mail.

As always, please include a contract, a purpose, examples, and tests for each function.

Problem 1 (8 points)

Define tail-recursive functions to

In comments briefly explain what makes your functions tail-recursive. The functions may take extra parameters (compared to their non-tail-recursive versions).

Problem 2 (5 points): a tail-recursive implementation of map

Write map-tail: a tail-recursive version of map. map-tail takes a list, a function applicable to list elements, and an accumulator list (i.e. the list of results). Just as a regular map, it returns a list of results of applying the function to each element of the list.

Define a function map1 that takes a list and a function and calls map-tail with the list, the function, and the initial value of the accumulator list. map1 should work exactly as the pre-defined map. Test your function to make sure that this is the case.

This is how map is implemented in Scheme/Racket.


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