diff options
Diffstat (limited to 'erts/emulator/test/num_bif_SUITE.erl')
-rw-r--r-- | erts/emulator/test/num_bif_SUITE.erl | 183 |
1 files changed, 161 insertions, 22 deletions
diff --git a/erts/emulator/test/num_bif_SUITE.erl b/erts/emulator/test/num_bif_SUITE.erl index f31e73c85b..290bb61fc8 100644 --- a/erts/emulator/test/num_bif_SUITE.erl +++ b/erts/emulator/test/num_bif_SUITE.erl @@ -32,6 +32,8 @@ %% list_to_integer/1 %% round/1 %% trunc/1 +%% floor/1 +%% ceil/1 %% integer_to_binary/1 %% integer_to_binary/2 %% binary_to_integer/1 @@ -41,7 +43,7 @@ t_float_to_string/1, t_integer_to_string/1, t_string_to_integer/1, t_list_to_integer_edge_cases/1, t_string_to_float_safe/1, t_string_to_float_risky/1, - t_round/1, t_trunc/1 + t_round/1, t_trunc_and_friends/1 ]). suite() -> [{ct_hooks,[ts_install_cth]}]. @@ -49,7 +51,7 @@ suite() -> [{ct_hooks,[ts_install_cth]}]. all() -> [t_abs, t_float, t_float_to_string, t_integer_to_string, {group, t_string_to_float}, t_string_to_integer, t_round, - t_trunc, t_list_to_integer_edge_cases]. + t_trunc_and_friends, t_list_to_integer_edge_cases]. groups() -> [{t_string_to_float, [], @@ -106,7 +108,7 @@ t_float(Config) when is_list(Config) -> 4294967305.0 = float(id(4294967305)), -4294967305.0 = float(id(-4294967305)), - %% Extremly big bignums. + %% Extremely big bignums. Big = id(list_to_integer(id(lists:duplicate(2000, $1)))), {'EXIT', {badarg, _}} = (catch float(Big)), @@ -116,6 +118,7 @@ t_float(Config) when is_list(Config) -> %% Tests float_to_list/1, float_to_list/2, float_to_binary/1, float_to_binary/2 t_float_to_string(Config) when is_list(Config) -> + rand_seed(), test_fts("0.00000000000000000000e+00", 0.0), test_fts("2.50000000000000000000e+01", 25.0), test_fts("2.50000000000000000000e+00", 2.5), @@ -143,7 +146,7 @@ t_float_to_string(Config) when is_list(Config) -> 123456789012345678.0, [{decimals, 237}])), {'EXIT', {badarg, _}} = (catch float_to_binary( 123456789012345678.0, [{decimals, 237}])), - test_fts("1." ++ string:copies("0", 249) ++ "e+00", + test_fts("1." ++ lists:duplicate(249, $0) ++ "e+00", 1.0, [{scientific, 249}, compact]), X1 = float_to_list(1.0), @@ -165,8 +168,8 @@ t_float_to_string(Config) when is_list(Config) -> test_fts("1.12300",1.123, [{decimals, 5}]), test_fts("1.123",1.123, [{decimals, 5}, compact]), test_fts("1.1234",1.1234,[{decimals, 6}, compact]), - test_fts("1.01",1.005, [{decimals, 2}]), - test_fts("-1.01",-1.005,[{decimals, 2}]), + test_fts("1.00",1.005, [{decimals, 2}]), %% 1.005 is really 1.0049999999... + test_fts("-1.00",-1.005,[{decimals, 2}]), test_fts("0.999",0.999, [{decimals, 3}]), test_fts("-0.999",-0.999,[{decimals, 3}]), test_fts("1.0",0.999, [{decimals, 2}, compact]), @@ -182,6 +185,9 @@ t_float_to_string(Config) when is_list(Config) -> test_fts("123000000000000000000.0",1.23e20, [{decimals, 10}, compact]), test_fts("1.2300000000e+20",1.23e20, [{scientific, 10}, compact]), test_fts("1.23000000000000000000e+20",1.23e20, []), + + fts_rand_float_decimals(1000), + ok. test_fts(Expect, Float) -> @@ -195,6 +201,83 @@ test_fts(Expect, Float, Args) -> BinExpect = float_to_binary(Float,Args). +rand_float_reasonable() -> + F = rand_float(), + case abs(F) > 1.0e238 of + true -> rand_float_reasonable(); + false -> F + end. + +fts_rand_float_decimals(0) -> ok; +fts_rand_float_decimals(N) -> + [begin + F0 = rand_float_reasonable(), + L0 = float_to_list(F0, [{decimals, D}]), + case conform_with_io_lib_format_os(F0,D) of + false -> ok; + true -> + IOL = lists:flatten(io_lib:format("~.*f", [D, F0])), + true = case L0 =:= IOL of + true -> true; + false -> + io:format("F0 = ~w ~w\n", [F0, <<F0/float>>]), + io:format("decimals = ~w\n", [D]), + io:format("float_to_list = ~s\n", [L0]), + io:format("io_lib:format = ~s\n", [IOL]), + false + end + end, + L1 = case D of + 0 -> L0 ++ ".0"; + _ -> L0 + end, + F1 = list_to_float(L1), + Diff = abs(F0-F1), + MaxDiff = max_diff_decimals(F0, D), + ok = case Diff =< MaxDiff of + true -> ok; + false -> + io:format("F0 = ~w ~w\n", [F0, <<F0/float>>]), + io:format("L1 = ~s\n", [L1]), + io:format("F1 = ~w ~w\n", [F1, <<F1/float>>]), + io:format("Diff = ~w, MaxDiff = ~w\n", [Diff, MaxDiff]), + error + end + end + || D <- lists:seq(0,15)], + + fts_rand_float_decimals(N-1). + +conform_with_io_lib_format_os(F, D) -> + case os:type() of + {win32,_} -> + %% io_lib:format("~.*f") buggy on windows? OTP-15010 + false; + _ -> + conform_with_io_lib_format(F, D) + end. + +conform_with_io_lib_format(_, 0) -> + %% io_lib:format("~.*f") does not support zero decimals + false; +conform_with_io_lib_format(_, D) when D > 10 -> + %% Seems float_to_list gets it slightly wrong sometimes for many decimals + false; +conform_with_io_lib_format(F, D) -> + %% io_lib:format prints '0' for input bits beyond mantissa precision + %% float_to_list treats those unknown input bits as if they were zeros. + math:log2(abs(F) * math:pow(10,D)) < 54. + +max_diff_decimals(F, D) -> + IntBits = floor(math:log2(abs(F))) + 1, + FracBits = (52 - IntBits), + Log10_2 = 0.3010299956639812, % math:log10(2) + MaxDec = floor(FracBits * Log10_2), + + Resolution = math:pow(2, IntBits - 53), + + (math:pow(10, -min(D,MaxDec)) / 2) + Resolution. + %% Tests list_to_float/1. t_string_to_float_safe(Config) when is_list(Config) -> @@ -298,30 +381,86 @@ t_round(Config) when is_list(Config) -> -6209607916799025 = round(id(-6209607916799025.0)), ok. -t_trunc(Config) when is_list(Config) -> - 0 = trunc(id(0.0)), - 5 = trunc(id(5.3333)), - -10 = trunc(id(-10.978987)), +%% Test trunc/1, floor/1, ceil/1, and round/1. +t_trunc_and_friends(_Config) -> + MinusZero = 0.0 / (-1.0), + 0 = trunc_and_friends(MinusZero), + 0 = trunc_and_friends(0.0), + 5 = trunc_and_friends(5.3333), + -10 = trunc_and_friends(-10.978987), - % The largest smallnum, converted to float (OTP-3722): + %% The largest smallnum, converted to float (OTP-3722): X = id((1 bsl 27) - 1), - F = id(X + 0.0), + F = X + 0.0, io:format("X = ~p/~w/~w, F = ~p/~w/~w, trunc(F) = ~p/~w/~w~n", [X, X, binary_to_list(term_to_binary(X)), F, F, binary_to_list(term_to_binary(F)), - trunc(F), trunc(F), binary_to_list(term_to_binary(trunc(F)))]), - X = trunc(F), - X = trunc(F+1)-1, - X = trunc(F-1)+1, - X = -trunc(-F), - X = -trunc(-F-1)-1, - X = -trunc(-F+1)+1, + trunc_and_friends(F), + trunc_and_friends(F), + binary_to_list(term_to_binary(trunc_and_friends(F)))]), + X = trunc_and_friends(F), + X = trunc_and_friends(F+1)-1, + X = trunc_and_friends(F-1)+1, + X = -trunc_and_friends(-F), + X = -trunc_and_friends(-F-1)-1, + X = -trunc_and_friends(-F+1)+1, %% Bignums. - 4294967305 = trunc(id(4294967305.7)), - -4294967305 = trunc(id(-4294967305.7)), + 4294967305 = trunc_and_friends(4294967305.7), + -4294967305 = trunc_and_friends(-4294967305.7), + 18446744073709551616 = trunc_and_friends(float(1 bsl 64)), + -18446744073709551616 = trunc_and_friends(-float(1 bsl 64)), + + %% Random. + rand_seed(), + t_trunc_and_friends_rand(100), + ok. + +rand_seed() -> + rand:seed(exrop), + io:format("\n*** rand:export_seed() = ~w\n\n", [rand:export_seed()]), ok. +rand_float() -> + F0 = rand:uniform() * math:pow(10, 50*rand:normal()), + case rand:uniform() of + U when U < 0.5 -> -F0; + _ -> F0 + end. + +t_trunc_and_friends_rand(0) -> + ok; +t_trunc_and_friends_rand(N) -> + _ = trunc_and_friends(rand_float()), + t_trunc_and_friends_rand(N-1). + +trunc_and_friends(F) -> + Trunc = trunc(F), + Floor = floor(F), + Ceil = ceil(F), + Round = round(F), + + Trunc = trunc(Trunc), + Floor = floor(Floor), + Ceil = ceil(Ceil), + Round = round(Round), + + Trunc = trunc(float(Trunc)), + Floor = floor(float(Floor)), + Ceil = ceil(float(Ceil)), + Round = round(float(Round)), + + true = Floor =< Trunc andalso Trunc =< Ceil, + true = Ceil - Floor =< 1, + true = Round =:= Floor orelse Round =:= Ceil, + + if + F < 0 -> + Trunc = Ceil; + true -> + Trunc = Floor + end, + Trunc. %% Tests integer_to_binary/1. @@ -441,7 +580,7 @@ t_string_to_integer(Config) when is_list(Config) -> list_to_binary(Value),Base)), {'EXIT', {badarg, _}} = (catch erlang:list_to_integer(Value,Base)) - end,[{" 1",1},{" 1",37},{"2",2},{"C",11}, + end,[{" 1",1},{" 1",37},{"2",2},{"B",11},{"b",11},{":", 16}, {"1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111z",16}, {"1z111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111",16}, {"111z11111111",16}]), |