working

demo.modal

@@ -0,0 +1,141 @@
+<> (-- ?x) ()
+-- ( little endian binary integers )
+
+-- ( constants )
+<> zero ((0 nil))
+<> one ((1 nil))
+<> two ((0 (1 nil)))
+<> three ((1 (1 nil)))
+<> ten ((0 (1 (0 (1 nil)))))
+
+-- ( decimal digit to binary )
+<> (binary 0) ((0 nil))
+<> (binary 1) ((1 nil))
+<> (binary 2) ((0 (1 nil)))
+<> (binary 3) ((1 (1 nil)))
+<> (binary 4) ((0 (0 (1 nil))))
+<> (binary 5) ((1 (0 (1 nil))))
+<> (binary 6) ((0 (1 (1 nil))))
+<> (binary 7) ((1 (1 (1 nil))))
+<> (binary 8) ((0 (0 (0 (1 nil)))))
+<> (binary 9) ((1 (0 (0 (1 nil)))))
+
+-- ( binary to decimal digit )
+<> (decimal (0 nil)) (0)
+<> (decimal (1 nil)) (1)
+<> (decimal (0 (1 nil))) (2)
+<> (decimal (1 (1 nil))) (3)
+<> (decimal (0 (0 (1 nil)))) (4)
+<> (decimal (1 (0 (1 nil)))) (5)
+<> (decimal (0 (1 (1 nil)))) (6)
+<> (decimal (1 (1 (1 nil)))) (7)
+<> (decimal (0 (0 (0 (1 nil))))) (8)
+<> (decimal (1 (0 (0 (1 nil))))) (9)
+
+-- create nil-terminated list
+<> (nilify (?h)) ((?h nil))
+<> (nilify (?h ?t)) ((?h nilify ?t))
+
+-- reverse nil-terminated list
+<> (reverse ?x) (reverse' nil ?x)
+<> (reverse' ?a nil) (?a)
+<> (reverse' ?a (?h ?t)) (reverse' (?h ?a) ?t)
+
+-- ( normalize, remove trailing zeros )
+-- ( currently zero is (0 nil) though arguably it could be nil )
+-- ( that change would require auditing our rules )
+<> (normalize (?h ?t)) ((?h normalize' nil ?t))
+<> (normalize' ?s nil) (nil)
+<> (normalize' ?s (0 ?t)) (normalize' (0 ?s) ?t)
+<> (normalize' nil (1 ?t)) ((1 normalize' nil ?t))
+<> (normalize' (0 ?s) (1 ?t)) ((0 normalize' ?s (1 ?t)))
+
+-- ( to integer )
+<> ((int ?*)) (sum f (one) g reverse nilify (?*))
+<> (g nil) (nil)
+<> (g (?h ?t)) ((binary ?h g ?t))
+<> (f (?u) nil) (nil) 
+<> (f (?u) (?h ?t)) ((mul ?h ?u f (mul ?u ten) ?t))
+
+-- ( to string: TODO, need division for this one )
+
+-- ( comparison operartions )
+<> (cmp ?x ?y) (cmpc eq ?x ?y)
+<> (cmpc ?e nil nil) (?e)
+<> (cmpc ?e (1 ?x) nil) (gt)
+<> (cmpc ?e (0 ?x) nil) (cmpc ?e ?x nil)
+<> (cmpc ?e nil (1 ?y)) (lt)
+<> (cmpc ?e nil (0 ?y)) (cmpc ?e nil ?y)
+<> (cmpc ?e (0 ?x) (0 ?y)) (cmpc ?e ?x ?y)
+<> (cmpc ?e (1 ?x) (0 ?y)) (cmpc gt ?x ?y)
+<> (cmpc ?e (0 ?x) (1 ?y)) (cmpc lt ?x ?y)
+<> (cmpc ?e (1 ?x) (1 ?y)) (cmpc ?e ?x ?y)
+
+-- ( addition )
+<> (add ?x ?y) (addc 0 ?x ?y)
+<> (addc 0 nil nil) (nil)
+<> (addc 1 nil nil) ((1 nil))
+<> (addc ?c ?x nil) (addc ?c ?x (0 nil))
+<> (addc ?c nil ?y) (addc ?c (0 nil) ?y)
+<> (addc 0 (0 ?x) (0 ?y)) ((0 addc 0 ?x ?y))
+<> (addc 0 (0 ?x) (1 ?y)) ((1 addc 0 ?x ?y))
+<> (addc 0 (1 ?x) (0 ?y)) ((1 addc 0 ?x ?y))
+<> (addc 0 (1 ?x) (1 ?y)) ((0 addc 1 ?x ?y))
+<> (addc 1 (0 ?x) (0 ?y)) ((1 addc 0 ?x ?y))
+<> (addc 1 (0 ?x) (1 ?y)) ((0 addc 1 ?x ?y))
+<> (addc 1 (1 ?x) (0 ?y)) ((0 addc 1 ?x ?y))
+<> (addc 1 (1 ?x) (1 ?y)) ((1 addc 1 ?x ?y))
+
+-- ( summation )
+<> (sum nil) ((0 nil))
+<> (sum (?a nil)) (?a)
+<> (sum (?a (?b ?c))) (sum (add ?a ?b ?c))
+
+-- ( multiplication )
+<> (mul ?x ?y) (mulc nil ?x ?y)
+<> (mulc ?t nil ?y) (sum ?t)
+<> (mulc ?t (0 ?x) ?y) (mulc ?t ?x (0 ?y))
+<> (mulc ?t (1 ?x) ?y) (mulc (?y ?t) ?x (0 ?y))
+
+-- ( subtraction )
+<> (sub ?x ?y) (normalize subc 0 ?x ?y)
+<> (subc 0 nil nil) (nil)
+<> (subc 1 nil nil) (#err)
+<> (subc 0 ?x nil) (?x)
+<> (subc 1 ?x nil) (subc 1 ?x (0 nil))
+<> (subc ?c nil ?y) (subc ?c (0 nil) ?y)
+<> (subc 0 (0 ?x) (0 ?y)) ((0 subc 0 ?x ?y))
+<> (subc 0 (0 ?x) (1 ?y)) ((1 subc 1 ?x ?y))
+<> (subc 0 (1 ?x) (0 ?y)) ((1 subc 0 ?x ?y))
+<> (subc 0 (1 ?x) (1 ?y)) ((0 subc 0 ?x ?y))
+<> (subc 1 (0 ?x) (0 ?y)) ((1 subc 1 ?x ?y))
+<> (subc 1 (0 ?x) (1 ?y)) ((0 subc 1 ?x ?y))
+<> (subc 1 (1 ?x) (0 ?y)) ((0 subc 0 ?x ?y))
+<> (subc 1 (1 ?x) (1 ?y)) ((1 subc 1 ?x ?y))
+
+-- ( dec )
+<> (dec (0 nil)) (#err)
+<> (dec ?x) (normalize dec' ?x)
+<> (dec' (0 ?t)) ((1 dec' ?t))
+<> (dec' (1 ?t)) ((0 ?t))
+
+-- ( left shift; lshift x b means x<<b )
+<> (lshift ?x (0 nil)) (?x)
+<> (lshift ?x (1 nil)) ((0 ?x))
+<> (lshift ?x (?h (?a ?b))) (lshift (0 ?x) dec (?h (?a ?b)))
+
+-- ( constants )
+<> (a) ((1 (1 nil)))
+<> (b) ((0 (1 nil)))
+<> (c) ((1 (1 (1 nil))))
+<> (d) (int 135)
+<> (e) (int 1913)
+-- ( <> (f) (int 4294967295) )
+
+-- ( cmp c c )
+-- ( add a b )
+-- ( sum (a (b (c nil))) )
+-- ( mul a c )
+
+-- ( add d e )
+-- ( lshift (int 3) (int 1) )