Implement basic list operations.
In functional languages list operations like
reduce are very common. Implement a series of basic list operations,
without using existing functions.
The precise number and names of the operations to be implemented will be track dependent to avoid conflicts with existing names, but the general operations you will implement include:
append(given two lists, add all items in the second list to the end of the first list);
concatenate(given a series of lists, combine all items in all lists into one flattened list);
filter(given a predicate and a list, return the list of all items for which
length(given a list, return the total number of items within it);
map(given a function and a list, return the list of the results of applying
function(item)on all items);
foldl(given a function, a list, and initial accumulator, fold (reduce) each item into the accumulator from the left using
foldr(given a function, a list, and an initial accumulator, fold (reduce) each item into the accumulator from the right using
reverse(given a list, return a list with all the original items, but in reversed order);