(define (nil? x) "Checks if the argument is nil." (= x nil))

(define (number? x) "Checks if the argument is a number." (= (type x) :number))

(define (symbol? x) "Checks if the argument is a symbol." (= (type x) :symbol))

(define (keyword? x) "Checks if the argument is a keyword." (= (type x) :keyword))

(define (pair? x) "Checks if the argument is a pair." (= (type x) :pair))

(define (string? x) "Checks if the argument is a string." (= (type x) :string))

(define (lambda? x) "Checks if the argument is a function." (= (type x) :dynamic-function))

(define (special-lambda? x) "Checks if the argument is a macro." (= (type x) :dynamic-macro))

(define (built-n-function? x) "Checks if the argument is a built-in function." (= (type x) :built-in-function))

(define (apply fun seq) "Applies the funciton to the sequence, as in calls the function with
ithe sequence as arguemens." (eval (pair fun seq)))

(define (end seq) "Returns the last pair in the sqeuence." (if (or (nil? seq) (not (pair? (rest seq)))) seq (end (rest seq))))

(define (last seq) "Returns the (first) of the last (pair) of the given sequence." (first (end seq)))

(define (extend seq elem) "Extends a list with the given element, by putting it in
the (rest) of the last element of the sequence." (if (pair? seq) (prog (define e (end seq)) (mutate e (pair (first e) elem)) seq) elem))

(define (append seq elem) "Appends an element to a sequence, by extendeing the list
with (pair elem nil)." (extend seq (pair elem nil)))

(define (length seq) "Returns the length of the given sequence." (if (nil? seq) 0.000000 (+ 1.000000 (length (rest seq)))))

(define (increment val) "Adds one to the argument." (+ val 1.000000))

(define (decrement val) "Subtracts one from the argument." (- val 1.000000))

(define (range :keys from :defaults-to 0.000000 to) "Returns a sequence of numbers starting with the number defined
by the key 'from' and ends with the number defined in 'to'." (if (< from to) ([C-function] (pair from (range :from (+ 1.000000 from) :to to))) nil))

(define (range-while :keys from :defaults-to 0.000000 to) "Returns a sequence of numbers starting with the number defined
by the key 'from' and ends with the number defined in 'to'." (define result (list (copy from))) (define head result) (mutate from (increment from)) (while (< from to) (prog (mutate head (pair (first head) (pair (copy from) nil))) (define head (rest head)) (mutate from (increment from)))) result)

(define (map fun seq) "Takes a function and a sequence as arguments and returns a new
sequence which contains the results of using the first sequences
elemens as argument to that function." (if (nil? seq) seq (pair (fun (first seq)) (map fun (rest seq)))))

(define (reduce fun seq) "Takes a function and a sequence as arguments and applies the
function to the argument sequence. This only works correctly if
the given function accepts a variable amount of parameters. If
your funciton is limited to two arguments, use `reduce-binary'
instead." (apply fun seq))

(define (reduce-binary fun seq) "Takes a function and a sequence as arguments and applies the
function to the argument sequence. reduce-binary applies the
arguments `pair-wise' which means it works with binary functions
as compared to `reduce'." (if (nil? (rest seq)) (first seq) (fun (first seq) (reduce-binary fun (rest seq)))))

(define (filter fun seq) "Takes a function and a sequence as arguments and applies the
function to every value in the sequence. If the result of that
funciton application returns a truthy value, the original value is
added to a list, which in the end is returned." (if seq ([C-function] (if (fun (first seq)) (pair (first seq) (filter fun (rest seq))) (filter fun (rest seq)))) nil))

(define (zip l1 l2) (if (and (nil? l1) (nil? l2)) nil (pair (list (first l1) (first l2)) (zip (rest l1) (rest l2)))))

(define (printf :keys sep :defaults-to " " end :defaults-to "
" :rest args) "A wrapper for the built-in (print) that accepts a variable number
of arguments and also provides keywords for specifying the printed
separators between the arguments and what should be printed after the
las argument." (define printf-quoted (special-lambda (:keys @sep @end :rest @args) (if (nil? @args) (prog (print (eval @end)) nil) (prog (print (first @args)) (if (nil? (rest @args)) nil ([C-function] (print (eval @sep)))) (eval (pair printf-quoted (extend (list :@sep (eval @sep) :@end (eval @end)) (rest @args)))))))) (eval (pair printf-quoted (extend (list :@sep (eval sep) :@end (eval end)) args))))

