Maybe monad in elisp - functional-programming

Here is my attempt to implement Maybe monad in elisp. It it function composition that breaks on first nil. However value is always 13. Where is my error?
(defun .compose-maybe (&rest funcs)
"Monad Maybe function composition with nil as Nothing."
(lambda (arg)
(if funcs
(let ((value (funcall (apply #'.compose-maybe (cdr funcs)) arg)))
(message "%s" value)
(when value (funcall (car funcs) value))))
arg))
(funcall (.compose-maybe (lambda (x) (* x 5)) (lambda (x) (+ 100 x))) 13)

Your arg falls outside of the bouds of (if funcs ...), thus the inner lambda in .compose-maybe always returns arg instead of only when funcs is nil.
(defun .compose-maybe (&rest funcs)
"Monad Maybe function composition with nil as Nothing."
(lambda (arg)
(if funcs
(let ((value (funcall (apply #'.compose-maybe (cdr funcs)) arg)))
(message "%s" value)
(when value (funcall (car funcs) value)))
arg)))

Related

Access to function arguments by their names in Common Lisp

I want to get a function argument value, using an argument name.
The following code don't works, because symbol-value working only with global variables:
(defun test1 (&key v1)
(format t "V1: ~A~%" (symbol-value (intern "V1"))))
Is there a portable way to do this in Common Lisp?
You can use a custom environment to map strings to functions:
(use-package :alexandria)
(defvar *env* nil)
(defun resolve (name &optional (env *env*))
(if-let (entry (assoc name env :test #'string=))
(cdr entry)
(error "~s not found in ~a" name env)))
(defmacro bind (bindings env &body body)
(assert (symbolp env))
(let ((env (or env '*env*)))
(loop
for (n v) in bindings
collect `(cons ,n ,v) into fresh-list
finally
(return
`(let ((,env (list* ,#fresh-list ,env)))
,#body)))))
(defmacro call (name &rest args)
`(funcall (resolve ,name) ,#args))
For example:
(bind (("a" (lambda (u) (+ 3 u)))
("b" (lambda (v) (* 5 v))))
nil
(call "a" (call "b" 10)))
Here is another version of an explicit named-binding hack. Note this isn't well (or at all) tested, and also note the performance is not going to be great.
(defun named-binding (n)
;; Get a binding by its name: this is an error outside
;; WITH-NAMED-BINDINGS
(declare (ignore n))
(error "out of scope"))
(defun (setf named-binding) (val n)
;; Set a binding by its name: this is an error outside
;; WITH-NAMED-BINDINGS
(declare (ignore val n))
(error "out of scope"))
(defmacro with-named-bindings ((&rest bindings) &body decls/forms)
;; establish a bunch of bindings (as LET) but allow access to them
;; by name
(let ((varnames (mapcar (lambda (b)
(cond
((symbolp b) b)
((and (consp b)
(= (length b) 2)
(symbolp (car b)))
(car b))
(t (error "bad binding ~S" b))))
bindings))
(decls (loop for df in decls/forms
while (and (consp df) (eql (car df) 'declare))
collect df))
(forms (loop for dft on decls/forms
for df = (first dft)
while (and (consp df) (eql (car df) 'declare))
finally (return dft)))
(btabn (make-symbol "BTAB")))
`(let (,#bindings)
,#decls
(let ((,btabn (list
,#(mapcar (lambda (v)
`(cons ',v (lambda (&optional (val nil valp))
(if valp
(setf ,v val)
,v))))
varnames))))
(flet ((named-binding (name)
(let ((found (assoc name ,btabn)))
(unless found
(error "no binding ~S" name))
(funcall (cdr found))))
((setf named-binding) (val name)
(let ((found (assoc name ,btabn)))
(unless found
(error "no binding ~S" name))
(funcall (cdr found) val))))
(declare (inline named-binding (setf named-binding)))
,#forms)))))
And now:
> (with-named-bindings ((x 1))
(setf (named-binding 'x) 2)
(named-binding 'x))
2
Even better:
(defun amusing (x y)
(with-named-bindings ((x x) (y y))
(values #'named-binding #'(setf named-binding))))
(multiple-value-bind (reader writer) (amusing 1 2)
(funcall writer 2 'x)
(funcall reader 'x))
will work.

Simple OO style programming with Common Lisp

I am trying to make a 'pseudo OO system':
(defun bank-account ()
(let ((balance))
(labels ((init (x)
(setf balance x))
(increment (x)
(setf balance (+ balance x)))
(get-balance ()
balance))
(lambda (func)
(case func (init #'init)
(increment #'increment)
(get-balance #'get-balance))))))
(defparameter bank-account-object (bank-account))
(funcall (funcall bank-account-object 'init) 42)
(funcall (funcall bank-account-object 'increment) 10)
(funcall (funcall bank-account-object 'get-balance))
Q: are there better ways to accomplish the same without using CLOS, defstruct, or defmacro?
The problem that I see with this is that it is closed for extension, and I see no simple way to add extensibility.
Minor nitpick: that's not a bank-system but a bank-account. When you think about that further, it seems to me that the interesting part about this example domain has not been touched: double accounting, i. e. ensuring the null-sum invariant.
There are two sayings: a closure is a poor man's object, and an object is a poor man's closure. I have the feeling that you are more in the realm of the former here. However, it might be a good learning experience to think about this—as long as you don't put it into production somewhere…
;; The "class"
(defun create-bank-account ()
(let ((balance))
(labels ((init (x)
(setf balance x))
(increment (x)
(setf balance (+ balance x)))
(get-balance ()
balance))
(lambda (func)
(case func (init #'init)
(increment #'increment)
(get-balance #'get-balance))))))
;; The "methods"
(defun init-balance (object amount)
(funcall (funcall object 'init) amount))
(defun increment-balance (object amount)
(funcall (funcall object 'increment) amount))
(defun get-balance (object)
(funcall (funcall object 'get-balance)))
;; Example usage
(defparameter bank-account (create-bank-account))
(init-balance bank-account 42) ; => 42
(increment-balance bank-account 10) ; => 52
(get-balance bank-account) ; => 52
As mentioned in other answers, the resulting object might be hard to extend. That could be a feature, but one possible way to improve on it is to let it be redefined dynamically. You can even switch from classes to protoypes.
(ql:quickload :optima)
(defpackage :obj (:use :cl :optima))
(in-package :obj)
(defun make-object (&optional prototype)
(let ((properties (make-hash-table :test #'eq))
(self))
(flet ((resolve (key)
(or (gethash key properties)
(and prototype (funcall prototype :get key)))))
(setf self
(lambda (&rest args)
(optima:ematch args
((list :get :prototype) prototype)
((list :get key) (resolve key))
((list :set :prototype p)
(cerror "Continue" "Changing prototype object, are you sure?")
(setf prototype p))
((list :set key value)
(if value
(setf (gethash key properties) value)
(remhash key properties)))
((list :invoke method args)
(let ((resolved (resolve method)))
(if resolved
(apply resolved self args)
(funcall (or (resolve :no-such-method)
(error "No such method: ~a in ~a"
method
self))
self
method))))))))))
Some helper symbols:
;; call built-in command
(defmacro $ (obj method &rest args)
`(funcall ,obj ,method ,#args))
;; access property
(declaim (inline # (setf #)))
(defun # (o k) ($ o :get k))
(defun (setf #) (v o k) ($ o :set k v))
;; invoke method
(defun % (o m &rest a)
($ o :invoke m a))
A simple test
(let ((a (make-object)))
;; set name property
(setf (# a :name) "a")
;; inherit
(let ((b (make-object a)))
(print (list (# b :name)
;; shadow name property
(setf (# b :name) "b")
(# a :name)))
;; define a method
(setf (# a :foo) (lambda (self) (print "FOO")))
;; invoke it
(% a :foo)))
Bank account
(defun create-bank-account (&optional parent)
(let ((account (make-object parent)))
(prog1 account
(setf (# account :init)
(lambda (self x)
(setf (# self :balance) x)))
(setf (# account :increment)
(lambda (self increment)
(incf (# self :balance) increment))))))
(let ((account (create-bank-account)))
(% account :init 0)
(% account :increment 100)
(# account :balance))
100

Searching for an element within lists of lists without MAPCAR

I attempted a question of making a program that replaces all instances of an element A within a list L with T and unlike elements with NIL. The bet is to not use mapcar.
Here is what I did earlier. I am storing all T and NIL in a new list POS then returning POS.
(defun SRC (A L)
(defun _SRC (A L POS)
(COND ((NOT (EQUAL (CAR L) NIL))
(_SRC A (CDR L) (APPEND POS (LIST (EQUAL A (CAR L))))))
((EQUAL (CAR L) NIL)
(APPEND POS (LIST (EQUAL A NIL))))
(T POS)))
(CDR (_SRC A L (LIST NIL))))
Current behaviour:
The program is working nicely, except when searching for NIL itself, but that special case is not of concern here.
Few example runs of my code:-
(SRC 'g '(a g g o t g))
> (nil t t nil nil t)
When searching for NIL in a list:-
(SRC nil '(t a t nil nil))
> (nil nil nil t)
In this singular case our program ends on finding the first NIL in the list, for other searches, the program works fine. So I tried adding the ability of searching within lists of lists.
My updated code for searching within lists of lists without mapcar:
(defun SRC (A L)
(defun _SRC (A L POS)
(COND ((LISTP (CAR L))
(APPEND POS (LIST (SRC A (CAR L)))))
((NOT (EQUAL (CAR L) NIL))
(_SRC A (CDR L) (APPEND POS (LIST (EQUAL A (CAR L))))))
((EQUAL (CAR L) NIL)
(APPEND POS (LIST (EQUAL A NIL))))
(T POS)))
(CDR (_SRC A L (LIST NIL))))
Now, the output that I expect from this code is as follows:
(SRC 'e '(a b e c (e g e) h t e))
> (nil nil t nil (t nil t) nil nil t)
Instead my code runs forever, causing stack overflow, and I could not figure out anything with callstacks or backtracking.
Unreadable code due to lack of indentation.
Your code is unreadable, because your code is not indented.
(defun SRC (A L)
(defun _SRC (A L POS)
(COND ((NOT (EQUAL (CAR L) NIL)) (_SRC A (CDR L) (APPEND POS (LIST (EQUAL A (CAR L))))))
((EQUAL (CAR L) NIL) (APPEND POS (LIST (EQUAL A NIL))))
(T POS)))
(CDR (_SRC A L (LIST NIL))))
Let's indent your code.
(defun SRC (A L)
(defun _SRC (A L POS)
(COND ((NOT (EQUAL (CAR L) NIL))
(_SRC A (CDR L) (APPEND POS (LIST (EQUAL A (CAR L))))))
((EQUAL (CAR L) NIL)
(APPEND POS (LIST (EQUAL A NIL))))
(T POS)))
(CDR (_SRC A L (LIST NIL))))
Style and basic mistakes
Basic mistakes or programming style problems:
defun should not be nested. defun is not for defining local functions. defun should only be used for global functions. Use flet or labels for local functions.
use first and rest instead of car and cdr
use speaking variables
use lowercase
Don't start with nested functions
I would start without nested functions.
(defun _src (element list pos)
(cond ((not (equal (first list) nil))
(_src a (rest list) (append pos (list (equal element (car list))))))
((equal (first list) nil)
(append pos (list (equal element nil))))
(t pos)))
(defun src (element list)
(cdr (_src element list (list nil))))
Simplify recursion
But then you can greatly simplify it using the usual recursive pattern:
(defun mark% (element list result)
(if (null list)
result ; empty list -> return result
(mark% element ; mark the rest of the list
(rest list)
(cons (equal element (first list)) ; equal for the first element?
result))))
(defun mark (element list)
"return a list with boolean values if element is found in the list"
(reverse (mark% element list nil))) : needs to reverse the result
Note
Generally don't program recursive functions like that, since Lisp actually already offers MAP and MAPCAR - those provide the mapping functionality in one place and it is not needed to bake the recursive mapping into each function of your own.
Preferably use higher level iteration facilities like LOOP:
CL-USER 13 > (loop for e in '(a b a b)
collect (equal 'a e))
(T NIL T NIL)
Nested lists
You can adapt the above function to nested lists by adding a case testing for the first element being a list and then doing something in that case...
(defun mark% (element list result)
(cond ((null list)
result)
((consp (first list))
(mark% element
(rest list)
(cons (mark element (first list))
result)))
(t
(mark% element
(rest list)
(cons (equal element (first list))
result)))))
Debugging
Use trace and/or step to see what your code is doing.

I working through little lisper. The function lat? checks whether all elements of list are atoms or not

(defun lat
(lambda (l)
(cond ((null l) t)
((atom (car l))(lat (cdr l))
(t nil))))
The function takes a list as an argument. It is a recursive function that checks every element in the list. Whether it is atom or not. If every element is an atom, then it returns true else false.
Following is the error displayed
While compiling LAT :
Bad lambda list : (LAMBDA (L)
(COND ((NULL L) T) ((ATOM # #)) (T NIL)))
[Condition of type CCL::COMPILE-TIME-PROGRAM-ERROR]
Just like Hal Abelson called Scheme "lisp" in the SICP videos this book does the same, however the language in the book is a predecessor to Scheme and not Common Lisp. When you see:
(define name
(lambda (arg ...)
body ...)
This is the same as this in CL:
(defun name (arg ...)
body ...)
The reason is that in Scheme it's the same namespace for operator as well as operand bindings. A lisp-2 like Common Lisp can split it up like this:
(setf (fdefinition 'name)
(lambda (arg ...)
body ...))
This probably won't happen since you can always use defun, but in the event you return a function from a function you can do this or you must rely on funcall or apply to use the returned value:
;; This is a function that creates a function
(defun get-counter (from step)
(lambda ()
(let ((tmp from))
(incf from step)
tmp)))
When using this you might want to bind it globally:
(setf (fdefinition 'evens) (get-counter 0 2))
(evens) ; ==> 0
(evens) ; ==> 2
Or in functions you get it bound to normal variables and need to funcall or apply:
(defparameter *odds* (get-counter 1 2))
(funcall *odds*)
; ==> 1
Which one do you prefer?
(list (funcall *odds*) (evens))
; ==> (3 4)
The ? in lat? inidicated predicate and in CL a p in the end does the same. Your function latp is suppose to return nil or t so it should not return a function at all. Thus:
(defun latp (list)
(cond ((null list) t)
((atom (car list)) (latp (cdr list)))
(t nil)))
This of course is the same as:
(defun latp (list)
(or (null list)
(and (atom (car list))
(latp (cdr list)))))
Unlike Scheme using the name list as the argument does not affect the function call to list.

How do I apply a list of functions to a single variable?

I want to write a function/macro
(defun apply-funcs (functions value) ...)
so that calling (apply-funcs (list #'f #'g #'h) x) will do the equivalent of (h (g (f x))). How can this be accomplished?
Looks like you want to reduce a list of functions over a value.
CL-USER> (defun apply-funcs (functions value)
(reduce (lambda (memo fn) (funcall fn memo))
functions :initial-value value))
CL-USER> (apply-funcs
(list (lambda (n) (+ 3 n))
(lambda (n) (- n 2))
(lambda (n) (* 2 n)))
6)
14
CL-USER>
You may know reduce as fold from other languages. I'm using funcall instead of apply because of what you've said you want above ((apply-funcs (list #'f #'g #'h) x) => (h (g (f x)))). You'd use apply if x were a list of values, each element of which you wanted to bind to a separate argument. For instance, if you wanted to do something like
(apply-funcs
(list (lambda (a b c)
(list (+ a c) (+ b c)))
(lambda (d e)
(+ d e)))
(list 1 2 3))
then you'd need apply rather than funcall in the definition of apply-funcs.
Depending on the situation, you might also take the macro route;
(defmacro ->> (value &body functions)
(reduce
(lambda (memo fn) `(funcall ,fn ,memo))
functions :initial-value value))
which will do essentially the same thing.
CL-USER> (->> 6
(lambda (n) (+ 3 n))
(lambda (n) (- n 2))
(lambda (n) (* 2 n)))
14
CL-USER> (macroexpand
'(->> 6
(lambda (n) (+ 3 n))
(lambda (n) (- n 2))
(lambda (n) (* 2 n))))
(FUNCALL (LAMBDA (N) (* 2 N))
(FUNCALL (LAMBDA (N) (- N 2))
(FUNCALL (LAMBDA (N) (+ 3 N)) 6)))
T
(defun apply-funcs (functions value)
(loop for f in functions
for result = (funcall f value) then (funcall f result)
finally (return result)))
From the Alexandria library comes the compose (and multiple-value-compose) function, including a compiler macro for compose. What you're describing seems analogous to
(funcall (alexandria:compose #'h #'g #'f) x)
such that
(defun apply-funcs (functions value)
(funcall (apply #'compose (reverse functions)) value))
would do what you intend — although I suspect that calling compose directly might be more effective for your purposes, depending on the context.
The library functions are:
(defun compose (function &rest more-functions)
"Returns a function composed of FUNCTION and MORE-FUNCTIONS that applies its
arguments to to each in turn, starting from the rightmost of MORE-FUNCTIONS,
and then calling the next one with the primary value of the last."
(declare (optimize (speed 3) (safety 1) (debug 1)))
(reduce (lambda (f g)
(let ((f (ensure-function f))
(g (ensure-function g)))
(lambda (&rest arguments)
(declare (dynamic-extent arguments))
(funcall f (apply g arguments)))))
more-functions
:initial-value function))
(define-compiler-macro compose (function &rest more-functions)
(labels ((compose-1 (funs)
(if (cdr funs)
`(funcall ,(car funs) ,(compose-1 (cdr funs)))
`(apply ,(car funs) arguments))))
(let* ((args (cons function more-functions))
(funs (make-gensym-list (length args) "COMPOSE")))
`(let ,(loop for f in funs for arg in args
collect `(,f (ensure-function ,arg)))
(declare (optimize (speed 3) (safety 1) (debug 1)))
(lambda (&rest arguments)
(declare (dynamic-extent arguments))
,(compose-1 funs))))))

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