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
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
|
%{
open Ast
%}
%token BOOL INT REAL
%token PROBE
%token TRUE FALSE
%token IF THEN ELSE
%token NOT AND OR
%token MOD
%token CONST NODE RETURNS
%token VAR LET TEL
%token PRE
%token ASSUME GUARANTEE
%token LPAREN RPAREN
%token LCURLY RCURLY
%token STAR PLUS MINUS DIVIDE
%token LESS GREATER LESS_EQUAL GREATER_EQUAL
%token DIFF EQUAL
%token SEMICOLON COLON COMMA
%token ARROW
%token <string> IDENT
%token <string> INTVAL
%token <string> REALVAL
%token EOF
(* Lowest priorities first *)
%left ARROW
%left OR
%left AND
%left EQUAL DIFF
%left LESS GREATER LESS_EQUAL GREATER_EQUAL
%left PLUS MINUS
%left STAR DIVIDE MOD
(* Root token *)
%start<Ast.toplevel list> file
%%
file:
| t=list(toplevel) EOF { t }
toplevel:
| d=ext(const_decl) { AST_const_decl d }
| d=ext(node_decl) { AST_node_decl d }
primary_expr:
| LPAREN e=expr RPAREN { e }
| e=ext(IDENT) { AST_identifier e }
| e=ext(INTVAL) { AST_int_const e }
| e=ext(REALVAL) { AST_real_const e }
| TRUE { AST_bool_const true }
| FALSE { AST_bool_const false }
| e=ext(IDENT) LPAREN l=separated_list(COMMA,ext(expr)) RPAREN
{ AST_instance (e, l) }
unary_expr:
| e=primary_expr { e }
| NOT e=ext(unary_expr) { AST_not(e) }
| PRE e=ext(unary_expr) { AST_pre(e) }
| o=unary_op e=ext(unary_expr) { AST_unary (o, e) }
%inline unary_op:
| PLUS { AST_UPLUS }
| MINUS { AST_UMINUS }
binary_expr:
| e=unary_expr { e }
| e=ext(binary_expr) ARROW f=ext(binary_expr) { AST_arrow(e, f) }
| e=ext(binary_expr) o=binary_op f=ext(binary_expr) { AST_binary (o, e, f) }
| e=ext(binary_expr) o=binary_rel f=ext(binary_expr) { AST_binary_rel (o, e, f) }
| e=ext(binary_expr) o=binary_bool f=ext(binary_expr) { AST_binary_bool (o, e, f) }
%inline binary_op:
| STAR { AST_MUL }
| DIVIDE { AST_DIV }
| MOD { AST_MOD }
| PLUS { AST_PLUS }
| MINUS { AST_MINUS }
%inline binary_rel:
| LESS { AST_LT }
| GREATER { AST_GT }
| LESS_EQUAL { AST_LE }
| GREATER_EQUAL { AST_GE }
| EQUAL { AST_EQ}
| DIFF { AST_NE }
%inline binary_bool:
| AND { AST_AND }
| OR { AST_OR }
if_expr:
| IF c=ext(expr) THEN t=ext(expr) ELSE e=ext(expr) { AST_if(c, t, e) }
| e=binary_expr { e }
expr:
| e=if_expr { e }
(* Equations (can be asserts, automata, ...) *)
eqn:
| i=ext(IDENT) EQUAL e=ext(expr) { AST_assign(i, e) }
| ASSUME i=ext(IDENT) COLON e=ext(expr) { AST_assume(i, e) }
| GUARANTEE i=ext(IDENT) COLON e=ext(expr) { AST_guarantee(i, e) }
typ:
| INT { AST_TINT }
| BOOL { AST_TBOOL }
| REAL { AST_TREAL }
(* Declarations *)
dbody:
| e=ext(eqn) SEMICOLON { [e] }
| LET l=nonempty_list(terminated(ext(eqn), SEMICOLON)) TEL
{ l }
var:
| p=boption(PROBE) i=ext(IDENT) { (p, i) }
vari:
| vn=separated_list(COMMA, var) COLON t=typ
{ List.map (fun (p, i) -> (p, i, t)) vn }
vars:
| v=separated_list(SEMICOLON, vari)
{ List.flatten v }
const_decl:
| CONST i=IDENT COLON t=typ EQUAL e=ext(expr) SEMICOLON
{ {
name = i;
typ = t;
value = e;
} }
var_decl:
| VAR l=nonempty_list(terminated(vari, SEMICOLON))
{ List.flatten l }
node_decl:
| NODE id=IDENT LPAREN v=vars RPAREN
RETURNS LPAREN rv=vars RPAREN
e = dbody
{ { name = id;
args = v;
ret = rv;
var = [];
body = e;
} }
| NODE id=IDENT LPAREN v=vars RPAREN
RETURNS LPAREN rv=vars RPAREN
lv=var_decl
LET b=nonempty_list(terminated(ext(eqn), SEMICOLON)) TEL
{ { name = id;
args = v;
ret = rv;
var = lv;
body = b;
} }
(* Utility : add extent information *)
%inline ext(X):
| x=X { x, ($startpos, $endpos) }
%%
|
