Due to popular demand, I have finally succumbed and written a

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samples/calculator.m:
	Due to popular demand, I have finally succumbed and written a
	"nicer" version of this.
This commit is contained in:
Fergus Henderson
1996-03-01 13:25:56 +00:00
parent d8c7b37aea
commit b67c6e6ee1

View File

@@ -1,17 +1,15 @@
% A simpler calculator - parses and evaluates integer expressions.
% Elegant, but not efficient - backtracking causes exponential performance :-(.
% (Try this on the input "((((((((((((1))))))))))))".)
% For an example of a more efficient parser, see ../library/parser.m.
% For an example of a parser with better error handling, see parser.m in
% the Mercury library source code.
% This calculator also misparses "1 - 2 - 3" as "1 - (2 - 3)".
% (Fixing that bug is left as an exercise for the reader...)
% Author: fjh.
:- module calculator.
:- interface.
:- import_module io.
:- pred main(io__state::di, io__state::uo) is cc_multi.
:- pred main(io__state::di, io__state::uo) is det.
:- implementation.
:- import_module list, char, int, string.
@@ -23,14 +21,6 @@
; times(expr, expr)
; div(expr, expr).
:- pred evalexpr(expr::in, int::out) is det.
evalexpr(number(NUM), NUM).
evalexpr(plus(X,Y), Z) :- Z is A + B, evalexpr(X,A), evalexpr(Y,B).
evalexpr(minus(X,Y), Z) :- Z is A - B, evalexpr(X,A), evalexpr(Y,B).
evalexpr(times(X,Y), Z) :- Z is A * B, evalexpr(X,A), evalexpr(Y,B).
evalexpr(div(X,Y), Z) :- Z is A // B, evalexpr(X,A), evalexpr(Y,B).
main -->
io__read_line(Res),
( { Res = error(_) },
@@ -39,38 +29,74 @@ main -->
io__write_string("EOF\n")
; { Res = ok(Line) },
( { fullexpr(X,Line,[]) } ->
{ evalexpr(X,NUM) },
io__write_int(NUM),
{ evalexpr(X, Num) },
io__write_int(Num),
io__write_string("\n")
;
io__write_string("Syntax error\n")
),
main % recursively call itself for the next line(s)
main % recursively call ourself for the next line(s)
).
:- pred fullexpr( expr::out, list(char)::in, list(char)::out) is nondet.
:- pred expr( expr::out, list(char)::in, list(char)::out) is nondet.
:- pred factor( expr::out, list(char)::in, list(char)::out) is nondet.
:- pred term( expr::out, list(char)::in, list(char)::out) is nondet.
:- pred const(list(char)::out, list(char)::in, list(char)::out) is nondet.
:- pred digit(char::out, list(char)::in, list(char)::out) is semidet.
:- pred evalexpr(expr::in, int::out) is det.
evalexpr(number(Num), Num).
evalexpr(plus(X,Y), Z) :- evalexpr(X,A), evalexpr(Y,B), Z is A + B.
evalexpr(minus(X,Y), Z) :- evalexpr(X,A), evalexpr(Y,B), Z is A - B.
evalexpr(times(X,Y), Z) :- evalexpr(X,A), evalexpr(Y,B), Z is A * B.
evalexpr(div(X,Y), Z) :- evalexpr(X,A), evalexpr(Y,B), Z is A // B.
fullexpr(X) --> expr(X), ['\n'].
% Simple recursive-descent parser.
expr(X) --> factor(X).
expr(plus(X,Y)) --> factor(X), ['+'], expr(Y).
expr(minus(X,Y)) --> factor(X), ['-'], expr(Y).
:- pred fullexpr(expr::out, list(char)::in, list(char)::out) is semidet.
fullexpr(X) -->
expr(X),
['\n'].
factor(X) --> term(X).
factor(times(X,Y)) --> term(X), ['*'], factor(Y).
factor(div(X,Y)) --> term(X), ['/'], factor(Y).
:- pred expr(expr::out, list(char)::in, list(char)::out) is semidet.
expr(Expr) -->
factor(Factor),
expr2(Factor, Expr).
term(number(N)) --> const(L),
{ string__from_char_list(L,S) },
{ string__to_int(S,N) } .
term(X) --> ['('], expr(X), [')'].
:- pred expr2(expr::in, expr::out, list(char)::in, list(char)::out) is semidet.
expr2(Factor, Expr) -->
( ['+'] -> factor(Factor2), expr2(plus( Factor, Factor2), Expr)
; ['-'] -> factor(Factor2), expr2(minus(Factor, Factor2), Expr)
; { Expr = Factor }
).
const([Char]) --> digit(Char).
const([Char|L]) --> digit(Char), const(L).
:- pred factor(expr::out, list(char)::in, list(char)::out) is semidet.
factor(Factor) -->
term(Term),
factor2(Term, Factor).
digit(Char) --> [Char], { char__is_digit(Char) }.
:- pred factor2(expr::in, expr::out, list(char)::in, list(char)::out)
is semidet.
factor2(Term, Factor) -->
( ['*'] -> term(Term2), factor2(times(Term,Term2), Factor)
; ['/'] -> term(Term2), factor2(div( Term,Term2), Factor)
; { Factor = Term }
).
:- pred term(expr::out, list(char)::in, list(char)::out) is semidet.
term(Term) -->
( const(Const) ->
{ string__from_char_list(Const, ConstString) },
{ string__to_int(ConstString, Num) },
{ Term = number(Num) }
;
['('], expr(Term), [')']
).
:- pred const(list(char)::out, list(char)::in, list(char)::out) is semidet.
const([Digit|Rest]) -->
digit(Digit),
( const(Const) ->
{ Rest = Const }
;
{ Rest = [] }
).
:- pred digit(char::out, list(char)::in, list(char)::out) is semidet.
digit(Char) -->
[Char],
{ char__is_digit(Char) }.