%---------------------------------------------------------------------------% % vim: ts=4 sw=4 et ft=mercury %---------------------------------------------------------------------------% :- module specified. :- interface. :- import_module io. :- pred main(io::di, io::uo) is cc_multi. :- implementation. :- import_module benchmarking. :- import_module int. :- import_module list. :- import_module require. :- import_module pair. main(!IO) :- perform_trials(aplp_vs_vplp, [1, 4], 14, 3, 0, 0, !IO), perform_trials(apli_vs_vpli, [1, 4], 14, 3, 0, 0, !IO), perform_trials(vvll_vs_vpll, [4, 4, 4], 444, 30, 0, 0, !IO). :- type trial_type ---> aplp_vs_vplp ; apli_vs_vpli ; vvll_vs_vpll. :- pred perform_trials(trial_type::in, list(int)::in, int::in, int::in, int::in, int::in, io::di, io::uo) is cc_multi. perform_trials(TrialType, ListN, IntN, Incr, NumDouble0, NumTrials0, !IO) :- trial(TrialType, ListN, IntN, Time, MTime, !IO), % io.write(TrialType, !IO), % io.write_string(" ", !IO), % io.write(IntN, !IO), % io.write_string(": ", !IO), % io.write_int(Time, !IO), % io.write_string("ms vs ", !IO), % io.write_int(MTime, !IO), % io.write_string("ms\n", !IO), ( if MTime > 10, Time > MTime * 2 then NumDouble = NumDouble0 + 1 else NumDouble = 0 ), ( if ( Time > 10 * MTime, MTime > 0 % "should be slower" version takes ten times as long ; Time > 100, % "should be slower" version takes at least 100 ms MTime < 1 % while "should be faster" version takes at most 1 ms ; NumDouble >= 10 % The "should be faster" version has been at least % double the speed of the "should be slower" version % for the last ten trials. ) then io.write(TrialType, !IO), io.write_string(": tabling works\n", !IO) else if ( Time > 10000 % "should be slower" takes at least 10 seconds ; NumTrials0 > 1000 ) then io.write(TrialType, !IO), io.write_string(": tabling does not appear to work\n", !IO) else % We couldn't get a measurable result with N, % and it looks like we can afford a bigger trial perform_trials(TrialType, add_digits(ListN, num_to_digits(Incr)), IntN + Incr, Incr, NumDouble, NumTrials0 + 1, !IO) ). :- pred trial(trial_type::in, list(int)::in, int::in, int::out, int::out, io::di, io::uo) is cc_multi. trial(TrialType, ListN, IntN, Time, MTime, !IO) :- ( TrialType = aplp_vs_vplp, benchmark_det(ap_lp_fib_test, ListN - [42], Res, 1, Time), benchmark_det(vp_lp_fib_test, ListN - [42], MRes, 1, MTime) ; TrialType = apli_vs_vpli, benchmark_det(ap_li_fib_test, ListN - IntN, Res, 1, Time), benchmark_det(vp_li_fib_test, ListN - IntN, MRes, 1, MTime) ; TrialType = vvll_vs_vpll, table_reset_for_vv_ll_fib_3(!IO), table_reset_for_vp_ll_fib_3(!IO), benchmark_det(vv_ll_fib_test, ListN - ListN, Res, 1, Time), benchmark_det(vp_ll_fib_test, ListN - ListN, MRes, 1, MTime) ), require(unify(Res, MRes), "tabling produces wrong answer"). %---------------------------------------------------------------------------% :- pred ap_lp_fib_test(pair(list(int), T)::in, list(int)::out) is det. ap_lp_fib_test(N - Dummy, F) :- ap_lp_fib(N, Dummy, F). :- pred vp_lp_fib_test(pair(list(int), T)::in, list(int)::out) is det. vp_lp_fib_test(N - Dummy, F) :- vp_lp_fib(N, Dummy, F). :- pred ap_li_fib_test(pair(list(int), int)::in, list(int)::out) is det. ap_li_fib_test(N - CopyN, F) :- ap_li_fib(N, CopyN, F). :- pred vp_li_fib_test(pair(list(int), int)::in, list(int)::out) is det. vp_li_fib_test(N - CopyN, F) :- vp_li_fib(N, CopyN, F). :- pred vp_ll_fib_test(pair(list(int), list(int))::in, list(int)::out) is det. vp_ll_fib_test(N - CopyN, F) :- vp_ll_fib(N, CopyN, F). :- pred vv_ll_fib_test(pair(list(int), list(int))::in, list(int)::out) is det. vv_ll_fib_test(N - CopyN, F) :- vv_ll_fib(N, CopyN, F). %---------------------------------------------------------------------------% :- pred ap_lp_fib(list(int)::in, T::in, list(int)::out) is det. :- pragma memo(ap_lp_fib(in, in, out), [allow_reset, statistics, specified([addr, promise_implied, addr])]). ap_lp_fib(N, Dummy, F) :- RawN = digits_to_num(N), ( if RawN < 2 then F = num_to_digits(1) else One = num_to_digits(1), Two = num_to_digits(2), ap_lp_fib(subtract_digits(N, One), Dummy, F1), ap_lp_fib(subtract_digits(N, Two), Dummy, F2), F = add_digits(F1, F2) ). :- pred vp_lp_fib(list(int)::in, T::in, list(int)::out) is det. :- pragma memo(vp_lp_fib/3, [allow_reset, statistics, specified([value, implied, output])]). vp_lp_fib(N, Dummy, F) :- RawN = digits_to_num(N), ( if RawN < 2 then F = num_to_digits(1) else One = num_to_digits(1), Two = num_to_digits(2), vp_lp_fib(subtract_digits(N, One), Dummy, F1), vp_lp_fib(subtract_digits(N, Two), Dummy, F2), F = add_digits(F1, F2) ). :- pred ap_li_fib(list(int)::in, int::in, list(int)::out) is det. :- pragma memo(ap_li_fib(in, in, out), [allow_reset, statistics, specified([addr, promise_implied])]). ap_li_fib(N, CopyN, F) :- RawN = digits_to_num(N), ( if RawN < 2 then ( if RawN = CopyN then F = num_to_digits(1) else error("ap_li_fib") ) else One = num_to_digits(1), Two = num_to_digits(2), ap_li_fib(subtract_digits(N, One), RawN - 1, F1), ap_li_fib(subtract_digits(N, Two), RawN - 2, F2), F = add_digits(F1, F2) ). :- pred vp_li_fib(list(int)::in, int::in, list(int)::out) is det. :- pragma memo(vp_li_fib/3, [allow_reset, statistics, specified([value, promise_implied, output])]). vp_li_fib(N, CopyN, F) :- RawN = digits_to_num(N), ( if RawN < 2 then ( if RawN = CopyN then F = num_to_digits(1) else error("vp_li_fib") ) else One = num_to_digits(1), Two = num_to_digits(2), vp_li_fib(subtract_digits(N, One), CopyN - 1, F1), vp_li_fib(subtract_digits(N, Two), CopyN - 2, F2), F = add_digits(F1, F2) ). :- pred vp_ll_fib(list(int)::in, list(int)::in, list(int)::out) is det. :- pragma memo(vp_ll_fib/3, [allow_reset, statistics, specified([output, value, promise_implied])]). vp_ll_fib(N, CopyN, F) :- RawN = digits_to_num(N), ( if RawN < 2 then ( if RawN = digits_to_num(CopyN) then F = num_to_digits(1) else error("vp_ll_fib") ) else One = num_to_digits(1), Two = num_to_digits(2), vp_ll_fib(subtract_digits(N, One), subtract_digits(N, One), F1), vp_ll_fib(subtract_digits(N, Two), subtract_digits(N, Two), F2), F = add_digits(F1, F2) ). :- pred vv_ll_fib(list(int)::in, list(int)::in, list(int)::out) is det. :- pragma memo(vv_ll_fib/3, [allow_reset, statistics, specified([value, value, output, output])]). vv_ll_fib(N, CopyN, F) :- RawN = digits_to_num(N), ( if RawN < 2 then ( if RawN = digits_to_num(CopyN) then F = num_to_digits(1) else error("vv_ll_fib") ) else One = num_to_digits(1), Two = num_to_digits(2), vv_ll_fib(subtract_digits(N, One), subtract_digits(N, One), F1), vv_ll_fib(subtract_digits(N, Two), subtract_digits(N, Two), F2), F = add_digits(F1, F2) ). %---------------------------------------------------------------------------% :- func add_digits(list(int), list(int)) = list(int). add_digits(S1, S2) = num_to_digits(digits_to_num(S1) + digits_to_num(S2)). :- func mul_digits(list(int), list(int)) = list(int). mul_digits(S1, S2) = num_to_digits(digits_to_num(S1) * digits_to_num(S2)). :- func subtract_digits(list(int), list(int)) = list(int). subtract_digits(S1, S2) = num_to_digits(digits_to_num(S1) - digits_to_num(S2)). :- func digits_to_num(list(int)) = int. digits_to_num(Digits) = Num :- list.reverse(Digits, RevDigits), Num = digits_to_num_2(RevDigits). :- func digits_to_num_2(list(int)) = int. :- pragma memo(digits_to_num_2/1, [specified([addr, output], hidden_arg_addr, hidden_arg_addr)]). digits_to_num_2([]) = 0. digits_to_num_2([Last | Rest]) = 10 * digits_to_num_2(Rest) + Last. :- func num_to_digits(int) = list(int). :- pragma memo(num_to_digits/1, [specified([value, output], voodoo)]). num_to_digits(Int) = Digits :- ( if Int < 10 then Digits = [Int] else Last = Int mod 10, Rest = Int // 10, list.append(num_to_digits(Rest), [Last], Digits) ).