This is a list of recursive racket functions of varying complexities. The functions avoid using built-in helper functions such as member, element, filter, etc.
Below are examples of uses of the functions and short descriptions on their implementation.
A racket function that duplicates the functionality of map from the standard library. It takes a fuction and a homogenous list of elements of the same data type compatible with the function. It then outputs a new list of the original elements after the procedure has been applied to each.
Takes a procedure that executes a Boolean test on an atomic value and a list of elements as arguments. It will return a list of two sublists based on the return value.
A racket function that duplicates the functionality of flatten from the standard library.
It takes a list containing zero or more sublists as an argument. Each sublist may have an arbitrary level of nesting. The function will return a single list of all items from all nested levels with no sublist.
Takes two lists as arguments and returns a single list of the combined pairs. If one input is longer, then the extra elements of the longer list are ignored.
Takes two arguments, a list of numbers and a single number(the threshhold). It returns a new list that has the same numbers as the input, but with all elements greater than the threshhold number removed.
Takes a list and an expression, which may be atomic or a list. It will return true if the element is a member of the list and false if it does not.
Takes two arguments, a comparison function and a list. It will return a boolean to indicate whether the list os sorted according to the comparison function given.
A racket function that duplicates the functionality of list-ref from the standard library.
It takes a list and an integer. The function will return the list element at the integer number (first position in index is 0).
Takes an integer as an argument and returns a function that indicates whether its integer argument is evenly divisibly by the first.
Takes a function as an argument and passes the number 9 to it.
