Need a custom red black tree data structure coded in Erlang with array like functions.

I need a custom red black tree data structure coded in Erlang with array like functions. Functions: new(comparator function), returns a newly created custom rb tree that uses the comparator function passed in for comparisons get(index), returns the tuple of key and value at index get_kv_range(index1 inclusive, index2 noninclusive), returns list of key value tuples from index1 inclusive to either index2 noninclusive or until the end of the tree, whichever comes first get_keys_range(index1 inclusive, index2 noninclusive), returns list of keys from index1 inclusive to either index2 noninclusive or until the end of the tree, whichever comes first get_values_range(index1 inclusive, index2 noninclusive), returns list of values from index1 inclusive to either index2 noninclusive or until the end of the tree, whichever comes first get(key), returns value of key insert(key, value) delete(key) contains(key), true or false if key exists in tree size(), returns number of keys in tree index must be zero based. all functions must be log(n) complexity