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%{
open Ast
%}

/* tokens */
/**********/

%token BOOL
%token INT
%token REAL
%token PROBE
%token TRUE
%token THEN
%token FALSE
%token IF
%token ELSE
%token NOT
%token AND
%token OR
%token MOD
%token CONST
%token NODE
%token RETURNS
%token VAR
%token LET
%token TEL
%token PRE
%token ASSUME
%token GUARANTEE

%token LPAREN
%token RPAREN
%token LCURLY
%token RCURLY
%token STAR
%token PLUS
%token MINUS
%token EXCLAIM
%token DIVIDE
%token PERCENT
%token LESS
%token GREATER
%token LESS_EQUAL
%token GREATER_EQUAL
%token EQUAL_EQUAL
%token DIFF
%token AND_AND
%token BAR_BAR
%token SEMICOLON
%token COLON
%token COMMA
%token EQUAL
%token ARROW

%token <string> IDENT
%token <string> INTVAL

%token EOF

/* priorities of binary operators (lowest to highest) */
%left ARROW
%left OR
%left AND
%left EQUAL DIFF
%left LESS GREATER LESS_EQUAL GREATER_EQUAL
%left PLUS MINUS
%left STAR DIVIDE MOD


/* entry-points */
/****************/

%start<Ast.toplevel list> file


%%


/* toplevel */
/************/

file: t=list(toplevel) EOF { t }

toplevel:
| d=ext(const_decl)           { AST_const_decl d }
| d=ext(node_decl)       { AST_node_decl d }


/* expressions */
/***************/

primary_expr:
| LPAREN e=expr RPAREN     { e }
| e=ext(IDENT)                    { AST_identifier e }
| e=ext(INTVAL)                   { AST_int_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 }
| o=unary_op e=ext(unary_expr)     { AST_unary (o, e) }

%inline unary_op:
| PLUS          { AST_UPLUS }
| MINUS         { AST_UMINUS }
| NOT           { AST_NOT }
| PRE           { AST_PRE }


binary_expr:
| e=unary_expr                                        { e }
| e=ext(binary_expr) o=binary_op f=ext(binary_expr)   { AST_binary (o, e, f) }

%inline binary_op:
| STAR           { AST_MUL }
| DIVIDE         { AST_DIV }
| MOD            { AST_MOD }
| PLUS           { AST_PLUS }
| MINUS          { AST_MINUS }
| LESS           { AST_LT }
| GREATER        { AST_GT }
| LESS_EQUAL     { AST_LE }
| GREATER_EQUAL  { AST_GE }
| EQUAL          { AST_EQ}
| DIFF           { AST_NE }
| AND            { AST_AND }
| OR             { AST_OR }
| ARROW          { AST_ARROW }

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 }

lvalue:
| i=IDENT   { i }


/* equations */
/****************/

eqn:
| i=ext(lvalue) 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 }

dbody:
| e=ext(eqn) SEMICOLON
    { [e] }
| LET l=nonempty_list(terminated(ext(eqn), SEMICOLON)) TEL
    { l }

/* declarations */

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=ext(IDENT) COLON t=typ EQUAL e=ext(expr) SEMICOLON
    { (i, t, 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;
    } }


/* utilities */
/*************/

/* adds extent information to rule */
%inline ext(X): 
| x=X { x, ($startpos, $endpos) }


%%