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Ingy döt Net 2023-07-01 11:58:00 -04:00
parent 7387c8f97b
commit cb5bb5e222
199093 changed files with 3378972 additions and 0 deletions

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(defmacro alambda (parms &body body)
`(labels ((self ,parms ,@body))
#'self))

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(defun fib (n)
(assert (>= n 0) nil "'~a' is a negative number" n)
(funcall
(alambda (n)
(if (>= 1 n)
n
(+ (self (- n 1)) (self (- n 2)))))
n))

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(defun fib (number)
"Fibonacci sequence function."
(if (< number 0)
(error "Error. The number entered: ~A is negative" number)
(labels ((fib (n a b)
(if (= n 0)
a
(fib (- n 1) b (+ a b)))))
(fib number 0 1))))

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(defun fib (number)
"Fibonacci sequence function."
(if (< number 0)
(error "Error. The number entered: ~A is negative" number)
(recursive ((n number) (a 0) (b 1))
(if (= n 0)
a
(recurse (- n 1) b (+ a b))))))

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(defmacro recursive ((&rest parm-init-pairs) &body body)
(let ((hidden-name (gensym "RECURSIVE-")))
`(macrolet ((recurse (&rest args) `(,',hidden-name ,@args)))
(labels ((,hidden-name (,@(mapcar #'first parm-init-pairs)) ,@body))
(,hidden-name ,@(mapcar #'second parm-init-pairs))))))

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(setf (symbol-function '!) (symbol-function 'funcall)
(symbol-function '!!) (symbol-function 'apply))
(defmacro ? (args &body body)
`(lambda ,args ,@body))
(defstruct combinator
(name nil :type symbol)
(function nil :type function))
(defmethod print-object ((combinator combinator) stream)
(print-unreadable-object (combinator stream :type t)
(format stream "~A" (combinator-name combinator))))
(defconstant +y-combinator+
(make-combinator
:name 'y-combinator
:function (? (f) (! (? (g) (! g g))
(? (g) (! f (? (&rest a)
(!! (! g g) a))))))))
(defconstant +z-combinator+
(make-combinator
:name 'z-combinator
:function (? (f) (! (? (g) (! f (? (x) (! (! g g) x))))
(? (g) (! f (? (x) (! (! g g) x))))))))
(defparameter *default-combinator* +y-combinator+)
(defmacro with-y-combinator (&body body)
`(let ((*default-combinator* +y-combinator+))
,@body))
(defmacro with-z-combinator (&body body)
`(let ((*default-combinator* +z-combinator+))
,@body))
(defun x-call (x-function &rest args)
(apply (funcall (combinator-function *default-combinator*) x-function) args))
(defmacro x-function ((name &rest args) &body body)
`(lambda (,name)
(lambda ,args
(macrolet ((,name (&rest args)
`(funcall ,',name ,@args)))
,@body))))
(defmacro x-defun (name args &body body)
`(defun ,name ,args
(x-call (x-function (,name ,@args) ,@body) ,@args)))
;;;; examples
(x-defun factorial (n)
(if (zerop n)
1
(* n (factorial (1- n)))))
(x-defun fib (n)
(case n
(0 0)
(1 1)
(otherwise (+ (fib (- n 1))
(fib (- n 2))))))