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Introduction to Lisp (zceu)
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Igor Wiedler
November 20, 2013
Programming
380
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Introduction to Lisp (zceu)
Igor Wiedler
November 20, 2013
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Transcript
Introduction to
@igorwesome
(
John McCarthy
None
f o r g e t everything y o
u k n o w
(+ 1 2)
(+ 1 2) l i s t
(+ 1 2) symbol
(+ 1 2) number
(+ 1 2) number
(+ 1 2) a p p l i c a
t i o n
(+ 1 2) function
(+ 1 2) arguments
3
None
cons
car
first
cdr
rest
(a . b)
a b
(a . nil)
a
(a . (b . (c . nil)))
a b c
(a b c)
[:a :b :c]
(first [:a :b :c]) !
(first [:a :b :c]) ! :a
a b c
(rest [:a :b :c]) !
(rest [:a :b :c]) ! [:b :c]
a b c
(cons :a [:b :c]) !
(cons :a [:b :c]) ! [:a :b :c]
a b c
(+ 2 3 5 7 11 13)
(/ (+ (- b) (math.sqrt (- (math.expt b 2) (*
4 a c)))) (* 2 a)) ! (/ (- (- b) (math.sqrt (- (math.expt b 2) (* 4 a c)))) (* 2 a))
5 3.14 "fubar" variable :keyword
(fn [x] x)
(fn [x] x) arguments
(fn [x] x) body
(def answer 42)
(def hello (fn [name] (str "Hello " name)))
(defn hello [name] (str "Hello " name))
(hello "ZCEU")
(defn member? [x coll] (cond (empty? coll) false :else (or
(= (first coll) x) (member? x (rest coll)))))
(defn member? [x coll] (cond (empty? coll) false :else (or
(= (first coll) x) (member? x (rest coll)))))
(defn member? [x coll] (cond (empty? coll) false :else (or
(= (first coll) x) (member? x (rest coll)))))
(defn member? [x coll] (cond (empty? coll) false :else (or
(= (first coll) x) (member? x (rest coll)))))
(defn member? [x coll] (cond (empty? coll) false :else (or
(= (first coll) x) (member? x (rest coll)))))
(defn member? [x coll] (cond (empty? coll) false :else (or
(= (first coll) x) (member? x (rest coll)))))
(defn member? [x coll] (cond (empty? coll) false :else (or
(= (first coll) x) (member? x (rest coll)))))
(member? :c [:a :b :c :d])
(defn member? [x coll] (cond (empty? coll) false :else (or
(= (first coll) x) (member? x (rest coll))))) ! (member? :c [:a :b :c :d])
(defn member? [x coll] (cond (empty? coll) false :else (or
(= (first coll) x) (member? x (rest coll))))) ! (member? :c [:a :b :c :d])
(defn member? [x coll] (cond (empty? coll) false :else (or
(= (first coll) x) (member? x (rest coll))))) ! (member? :c [:a :b :c :d])
(defn member? [x coll] (cond (empty? coll) false :else (or
(= (first coll) x) (member? x (rest coll))))) ! (member? :c [:a :b :c :d])
(defn member? [x coll] (cond (empty? coll) false :else (or
(= (first coll) x) (member? x (rest coll))))) ! (member? :c [:a :b :c :d]) (member? :c [:b :c :d])
(defn member? [x coll] (cond (empty? coll) false :else (or
(= (first coll) x) (member? x (rest coll))))) ! (member? :c [:a :b :c :d]) (member? :c [:b :c :d])
(defn member? [x coll] (cond (empty? coll) false :else (or
(= (first coll) x) (member? x (rest coll))))) ! (member? :c [:a :b :c :d]) (member? :c [:b :c :d])
(defn member? [x coll] (cond (empty? coll) false :else (or
(= (first coll) x) (member? x (rest coll))))) ! (member? :c [:a :b :c :d]) (member? :c [:b :c :d])
(defn member? [x coll] (cond (empty? coll) false :else (or
(= (first coll) x) (member? x (rest coll))))) ! (member? :c [:a :b :c :d]) (member? :c [:b :c :d]) (member? :c [:c :d])
(defn member? [x coll] (cond (empty? coll) false :else (or
(= (first coll) x) (member? x (rest coll))))) ! (member? :c [:a :b :c :d]) (member? :c [:b :c :d]) (member? :c [:c :d])
(defn member? [x coll] (cond (empty? coll) false :else (or
(= (first coll) x) (member? x (rest coll))))) ! (member? :c [:a :b :c :d]) (member? :c [:b :c :d]) (member? :c [:c :d])
(defn member? [x coll] (cond (empty? coll) false :else (or
(= (first coll) x) (member? x (rest coll))))) ! (member? :c [:a :b :c :d]) (member? :c [:b :c :d]) (member? :c [:c :d]) => true
(defn member? [x coll] (cond (empty? coll) false :else (or
(= (first coll) x) (member? x (rest coll))))) ! (member? :c [:a :b :c :d]) (member? :c [:b :c :d]) => true
(defn member? [x coll] (cond (empty? coll) false :else (or
(= (first coll) x) (member? x (rest coll))))) ! (member? :c [:a :b :c :d]) => true
true
Collections
Filter
0 1 2 3 4 even?
0 1 2 3 4 even? 0
0 1 2 3 4 even? 0
0 1 2 3 4 even? 0 2
0 1 2 3 4 even? 0 2
0 1 2 3 4 even? 0 2 4
(filter even? [0 1 2 3 4])
Map
0 1 2 3 4 #(+ 5 %)
0 1 2 3 4 #(+ 5 %) 5
0 1 2 3 4 #(+ 5 %) 5 6
0 1 2 3 4 #(+ 5 %) 5 7
6
0 1 2 3 4 #(+ 5 %) 5 7
6 8
0 1 2 3 4 #(+ 5 %) 5 7
9 6 8
(map #(+ 5 %) [0 1 2 3 4])
Reduce
3 6 7 9 + 0 running total
3 6 7 9 + 0 3 running total
3 6 7 9 + 0 9 3 running total
3 6 7 9 + 0 9 3 16 running
total
3 6 7 9 + 0 9 25 3 16
running total
3 6 7 9 + 0 9 25 3 16
running total
(reduce + 0 [3 6 7 9])
0 1 2 3 4 even? 0 2 4 #(+
5 %) 5 7 9 + 5 12 21
Macros
(foo bar baz)
"(+ 1 2)" Reader + 1 2 + 1 2
Eval 3 Compile-time Runtime x 0 y 1 z 2
"(a 1 2)" Reader a 1 2 Compile-time Macro b
5 6 a 1 2
(defn id [x] x) => (def id (clojure.core/fn ([x] x)))
(-> [:foo :bar :baz] reverse first name string/reverse) (string/reverse (name
(first (reverse [:foo :bar :baz])))) =>
(defmacro unless [pred a b] `(if (not ~pred) ~a ~b))
(unless foo x y) => (if (not foo) x y)
unless ($foo) => if (!$foo)
class Foo ($bar) { } ! => ! class Foo
{ private $bar; function __construct($bar) { $this->bar = $bar; } }
($x): $x => fn ($x) { return $x; } =>
function ($x) { return $x; }
Backporting?
['foo', 'bar', 'baz'] => array('foo', 'bar', 'baz')
return function () { return $this->baz(); }; => $that =
$this; return function () use ($that) { return $that->baz(); };
5.5 5.4 5.3 5.2 FI ...
Y-Combinator
(defn Y [le] ((fn [f] (f f)) (fn [f] (le
#((f f) %)))))
(defn fac [f] (fn [x] (if (zero? x) 1 (*
x (f (dec x))))))
((Y fac) 5)
((Y ) 5) (fn [f] (fn [x] (if (zero? x)
1 (* x (f (dec x))))))
(( ) 5) (fn [f] (fn [x] (if (zero? x)
1 (* x (f (dec x)))))) (fn [le] ((fn [f] (f f)) (fn [f] (le #((f f) %)))))
Lambda Calculus
0: (fn [f] identity) 1: (fn [f] f) 2: (fn
[f] #(f (f %))) 3: (fn [f] #(f (f (f %))))
((n inc) 0)
(( inc) 0) (fn [f] identity)
( 0) identity
0
(( inc) 0) (fn [f] f)
( 0) inc
1
(( inc) 0) (fn [f] #(f (f %)))
( 0) #(inc (inc %))
2
(defn INC [n] (fn [p] (fn [x] (p ((n p)
x))))) ! ! (defn DEC [n] (fn [f] (fn [x] (((n (fn [g] (fn [h] (h (g f))))) (fn [y] x)) (fn [y] y))))) ! ! (defn ADD [m] (fn [n] ((n INC) m))) ! ! (defn MUL [m] (fn [n] ((n (ADD m)) ZERO)))
Meta-circular evaluator
• = • fn • cond • cons • first
• rest • quote
(defun null. (x) (eq x '())) ! (defun and. (x
y) (cond (x (cond (y 't) ('t '()))) ('t '()))) ! (defun not. (x) (cond (x '()) ('t 't))) ! (defun append. (x y) (cond ((null. x) y) ('t (cons (car x) (append. (cdr x) y))))) ! (defun list. (x y) (cons x (cons y '()))) ! (defun pair. (x y) (cond ((and. (null. x) (null. y)) '()) ((and. (not. (atom x)) (not. (atom y))) (cons (list. (car x) (car y)) (pair. (cdr x) (cdr y)))))) ! (defun assoc. (x y) (cond ((eq (caar y) x) (cadar y)) ('t (assoc. x (cdr y))))) (defun eval. (e a) (cond ((atom e) (assoc. e a)) ((atom (car e)) (cond ((eq (car e) 'quote) (cadr e)) ((eq (car e) 'atom) (atom (eval. (cadr e) a))) ((eq (car e) 'eq) (eq (eval. (cadr e) a) (eval. (caddr e) a))) ((eq (car e) 'car) (car (eval. (cadr e) a))) ((eq (car e) 'cdr) (cdr (eval. (cadr e) a))) ((eq (car e) 'cons) (cons (eval. (cadr e) a) (eval. (caddr e) a))) ((eq (car e) 'cond) (evcon. (cdr e) a)) ('t (eval. (cons (assoc. (car e) a) (cdr e)) a)))) ((eq (caar e) 'label) (eval. (cons (caddar e) (cdr e)) (cons (list. (cadar e) (car e)) a))) ((eq (caar e) 'lambda) (eval. (caddar e) (append. (pair. (cadar e) (evlis. (cdr e) a)) a))))) ! (defun evcon. (c a) (cond ((eval. (caar c) a) (eval. (cadar c) a)) ('t (evcon. (cdr c) a)))) (defun evlis. (m a) (cond ((null. m) '()) ('t (cons (eval. (car m) a) (evlis. (cdr m) a)))))
62 LOC
PHPPHP: 6208 LOC github.com/ircmaxell/PHPPHP
PHPPHP: 6208 LOC github.com/ircmaxell/PHPPHP (parser +6169 LOC)
)
None
None
None
None
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