/
test-hard-core-lattice.ss
104 lines (94 loc) · 5.5 KB
/
test-hard-core-lattice.ss
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
#!r6rs
(import (only (scheme-tools) pretty-print symbol-maker)
(scheme-tools srfi-compat :69)
(scheme-tools srfi-compat :1)
(scheme-tools math)
(scheme-tools bin)
(unweave smt-search)
(unweave external labeling)
(unweave type-inference)
(unweave invariant-inference))
(define expr2
(quote (letrec ([list-map (lambda (f xs)
(if (null? xs) '()
(cons (f (car xs))
(list-map f (cdr xs)))))]
[all (lambda (p xs) (if (null? xs) #t (and (p (car xs)) (all p (cdr xs)))))]
[conjunction (lambda (bs) (if (null? bs) #t (and (car bs) (conjunction (cdr bs)))))]
[consec2 (lambda (xs) (if (null? (cdr xs)) '()
(cons (cons (car xs) (cons (car (cdr xs)) '()))
(consec2 (cdr xs)))))]
[my-repeat (lambda (n f) (if (= 0 n) '() (cons (f) (my-repeat (- n 1) f))))]
[sample-site (lambda () (xrp 1 1 1 0 1))]
[grid (my-repeat 5 (lambda () (my-repeat 5 (lambda () (sample-site)))))]
[row-non-eq (lambda (row) (all (lambda (s1s2) (not (= (car s1s2) (car (cdr s1s2))))) (consec2 row)))]
[rows-noneq (lambda (gr) (all (lambda (row) (row-non-eq row)) gr))]
[cols-noneq (lambda (rows)
(if (null? (car rows))
#t
(and (row-non-eq (list-map (lambda (r) (car r)) rows))
(letrec ([other-rows (list-map (lambda (c) (cdr c)) rows)])
(cols-noneq other-rows)))))])
(assert grid (lambda (g) (and (rows-noneq g) (cols-noneq g)))))))
(define transformed-expr (anf (label-transform expr2)))
(pretty-print transformed-expr)
(define inferred-types
(infer-types transformed-expr
`((+ . (-> Int (-> Int Int)))
(- . (-> Int (-> Int Int)))
(* . (-> Int (-> Int Int)))
(= . (-> Int (-> Int Bool)))
(and . (-> Bool (-> Bool Bool)))
(not . (-> Bool Bool))
(equal? . (-> a (-> a Bool)))
(> . (-> Int (-> Int Bool)))
(< . (-> Int (-> Int Bool)))
(cons . (-> a (-> (Lst a) (Lst a))))
(() . (Lst a))
(car . (-> (Lst a) a))
(cdr . (-> (Lst a) (Lst a)))
(null? . (-> (Lst a) Bool))
(flip . (-> () Bool)))))
(pretty-print transformed-expr)
(pretty-print inferred-types)
(define inferred-invariants
(infer-invariants transformed-expr (cadr inferred-types)
'((unit . (: (rf (V unit) true) unit ()))
(flip . (-> () (: (rf (V Bool) (or (= true V) (= false V))) Bool ())))
(car . (-> (: (rf (V (Lst a)) true) (Lst a) xs) (: (rf (V a) (= V (car xs))) a ())))
(cdr . (-> (: (rf (V (Lst a)) true) (Lst a) xs) (: (rf (V (Lst a)) (= V (cdr xs))) (Lst a) ())))
(null? . (-> (: (rf (V (Lst a)) true) (Lst a) x)
(: (rf (V Bool) (= V (= nil x))) Bool ())))
(not . (-> (: (rf (V Bool) true) Bool x)
(: (rf (V Bool) (= V (not x))) Bool ())))
(and . (-> (: (rf (V Bool) true) Bool x)
(-> (: (rf (V Bool) true) Bool y)
(: (rf (V Bool) (= V (and x y))) Bool ()))))
(cons . (-> (: (rf (V a) true) a x)
(-> (: (rf (V (Lst a)) true) (Lst a) y)
(: (rf (V (Lst a)) (= V (cons x y))) (Lst a) ()))))
(equal? . (-> (: (rf (V a) true) a x)
(-> (: (rf (V a) true) a y)
(: (rf (V Bool) (= V (= x y))) Bool ()))))
(() . (: (rf (V (Lst a)) true) (Lst a) ()))
(+ . (-> (: (rf (V Int) true) Int x)
(-> (: (rf (V Int) true) Int y)
(: (rf (V Int) (= V (+ x y))) Int ()))))
(- . (-> (: (rf (V Int) true) Int x)
(-> (: (rf (V Int) true) Int y)
(: (rf (V Int) (= V (- x y))) Int ()))))
(* . (-> (: (rf (V Int) true) Int x)
(-> (: (rf (V Int) true) Int y)
(: (rf (V Int) (= V (* x y))) Int ()))))
(= . (-> (: (rf (V Int) true) Int x)
(-> (: (rf (V Int) true) Int y)
(: (rf (V Bool) (= V (= x y))) Bool ()))))
(> . (-> (: (rf (V Int) true) Int x)
(-> (: (rf (V Int) true) Int y)
(: (rf (V Bool) (= V (> x y))) Bool ()))))
(< . (-> (: (rf (V Int) true) Int x)
(-> (: (rf (V Int) true) Int y)
(: (rf (V Bool) (= V (< x y))) Bool ())))))))
(pretty-print inferred-invariants)
(define label->invariant-map (caddr inferred-invariants))
(pretty-print (smt-calc-prob 20 transformed-expr (cadr inferred-types) label->invariant-map))