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-rw-r--r--erts/emulator/sys/common/erl_sys_common_misc.c104
-rw-r--r--erts/emulator/test/num_bif_SUITE.erl71
-rw-r--r--erts/lib_src/common/erl_printf_format.c2
3 files changed, 119 insertions, 58 deletions
diff --git a/erts/emulator/sys/common/erl_sys_common_misc.c b/erts/emulator/sys/common/erl_sys_common_misc.c
index 79f87eb3a9..ba03a11405 100644
--- a/erts/emulator/sys/common/erl_sys_common_misc.c
+++ b/erts/emulator/sys/common/erl_sys_common_misc.c
@@ -158,59 +158,50 @@ int
sys_double_to_chars_fast(double f, char *buffer, int buffer_size, int decimals,
int compact)
{
- /* Note that some C compilers don't support "static const" propagation
- * so we use a defines */
- #define SYS_DOUBLE_RND_CONST 0.55555555555555555
+ #define SYS_DOUBLE_RND_CONST 0.5
#define FRAC_SIZE 52
#define EXP_SIZE 11
- #define EXP_MASK ((1ll << EXP_SIZE) - 1)
+ #define EXP_MASK (((Uint64)1 << EXP_SIZE) - 1)
#define MAX_DECIMALS (sizeof(cs_sys_double_pow10) \
/ sizeof(cs_sys_double_pow10[0]))
- #define FRAC_MASK ((1ll << FRAC_SIZE) - 1)
- #define FRAC_MASK2 ((1ll << (FRAC_SIZE + 1)) - 1)
- #define MAX_FLOAT (1ll << (FRAC_SIZE+1))
+ #define FRAC_MASK (((Uint64)1 << FRAC_SIZE) - 1)
+ #define FRAC_MASK2 (((Uint64)1 << (FRAC_SIZE + 1)) - 1)
+ #define MAX_FLOAT ((Uint64)1 << (FRAC_SIZE+1))
static const double cs_sys_double_pow10[] = {
- SYS_DOUBLE_RND_CONST / 1ll,
- SYS_DOUBLE_RND_CONST / 10ll,
- SYS_DOUBLE_RND_CONST / 100ll,
- SYS_DOUBLE_RND_CONST / 1000ll,
- SYS_DOUBLE_RND_CONST / 10000ll,
- SYS_DOUBLE_RND_CONST / 100000ll,
- SYS_DOUBLE_RND_CONST / 1000000ll,
- SYS_DOUBLE_RND_CONST / 10000000ll,
- SYS_DOUBLE_RND_CONST / 100000000ll,
- SYS_DOUBLE_RND_CONST / 1000000000ll,
- SYS_DOUBLE_RND_CONST / 10000000000ll,
- SYS_DOUBLE_RND_CONST / 100000000000ll,
- SYS_DOUBLE_RND_CONST / 1000000000000ll,
- SYS_DOUBLE_RND_CONST / 10000000000000ll,
- SYS_DOUBLE_RND_CONST / 100000000000000ll,
- SYS_DOUBLE_RND_CONST / 1000000000000000ll,
- SYS_DOUBLE_RND_CONST / 10000000000000000ll,
- SYS_DOUBLE_RND_CONST / 100000000000000000ll,
- SYS_DOUBLE_RND_CONST / 1000000000000000000ll
+ SYS_DOUBLE_RND_CONST / 1e0,
+ SYS_DOUBLE_RND_CONST / 1e1,
+ SYS_DOUBLE_RND_CONST / 1e2,
+ SYS_DOUBLE_RND_CONST / 1e3,
+ SYS_DOUBLE_RND_CONST / 1e4,
+ SYS_DOUBLE_RND_CONST / 1e5,
+ SYS_DOUBLE_RND_CONST / 1e6,
+ SYS_DOUBLE_RND_CONST / 1e7,
+ SYS_DOUBLE_RND_CONST / 1e8,
+ SYS_DOUBLE_RND_CONST / 1e9,
+ SYS_DOUBLE_RND_CONST / 1e10,
+ SYS_DOUBLE_RND_CONST / 1e11,
+ SYS_DOUBLE_RND_CONST / 1e12,
+ SYS_DOUBLE_RND_CONST / 1e13,
+ SYS_DOUBLE_RND_CONST / 1e14,
+ SYS_DOUBLE_RND_CONST / 1e15,
+ SYS_DOUBLE_RND_CONST / 1e16,
+ SYS_DOUBLE_RND_CONST / 1e17,
+ SYS_DOUBLE_RND_CONST / 1e18
};
- long long mantissa, int_part = 0, frac_part = 0;
- short exp;
+ Uint64 mantissa, int_part, frac_part;
+ int exp;
+ int fbits;
int max;
int neg;
double fr;
- union { long long L; double F; } x;
+ union { Uint64 L; double F; } x;
char *p = buffer;
if (decimals < 0)
return -1;
- /* Round the number to given decimal places. The number of 5's in the
- * SYS_DOUBLE_RND_CONST constant is chosen such that adding any more 5's doesn't
- * change the double precision of the number, i.e.:
- * 1> term_to_binary(0.55555555555555555, [{minor_version, 1}]).
- * <<131,70,63,225,199,28,113,199,28,114>>
- * 2> term_to_binary(0.5555555555555555555, [{minor_version, 1}]).
- * <<131,70,63,225,199,28,113,199,28,114>>
- */
if (f >= 0) {
neg = 0;
fr = decimals < MAX_DECIMALS ? (f + cs_sys_double_pow10[decimals]) : f;
@@ -241,7 +232,7 @@ sys_double_to_chars_fast(double f, char *buffer, int buffer_size, int decimals,
}
exp -= EXP_MASK >> 1;
- mantissa |= (1ll << FRAC_SIZE);
+ mantissa |= ((Uint64)1 << FRAC_SIZE);
/* Don't bother with optimizing too large numbers or too large precision */
if (x.F > MAX_FLOAT || decimals >= MAX_DECIMALS) {
@@ -256,11 +247,16 @@ sys_double_to_chars_fast(double f, char *buffer, int buffer_size, int decimals,
return p - buffer;
} else if (exp >= FRAC_SIZE) {
int_part = mantissa << (exp - FRAC_SIZE);
+ frac_part = 0;
+ fbits = FRAC_SIZE; /* not important as frac_part==0 */
} else if (exp >= 0) {
- int_part = mantissa >> (FRAC_SIZE - exp);
- frac_part = (mantissa << (exp + 1)) & FRAC_MASK2;
+ fbits = FRAC_SIZE - exp;
+ int_part = mantissa >> fbits;
+ frac_part = mantissa & (((Uint64)1 << fbits) -1);
} else /* if (exp < 0) */ {
- frac_part = (mantissa & FRAC_MASK2) >> -(exp + 1);
+ int_part = 0;
+ frac_part = mantissa;
+ fbits = FRAC_SIZE - exp;
}
if (!int_part) {
@@ -270,9 +266,8 @@ sys_double_to_chars_fast(double f, char *buffer, int buffer_size, int decimals,
} else {
int ret, i, n;
while (int_part != 0) {
- long long j = int_part / 10;
- *p++ = (char)(int_part - ((j << 3) + (j << 1)) + '0');
- int_part = j;
+ *p++ = (char)((int_part % 10) + '0');
+ int_part /= 10;
}
if (neg)
*p++ = '-';
@@ -298,11 +293,22 @@ sys_double_to_chars_fast(double f, char *buffer, int buffer_size, int decimals,
max = decimals;
for (i = 0; i < max; i++) {
- /* frac_part *= 10; */
- frac_part = (frac_part << 3) + (frac_part << 1);
-
- *p++ = (char)((frac_part >> (FRAC_SIZE + 1)) + '0');
- frac_part &= FRAC_MASK2;
+ if (frac_part > (ERTS_UINT64_MAX/5)) {
+ frac_part >>= 3;
+ fbits -= 3;
+ }
+
+ /* Multiply by 10 (5*2) to extract decimal digit as integer part */
+ frac_part *= 5;
+ fbits--;
+
+ if (fbits >= 64) {
+ *p++ = '0';
+ }
+ else {
+ *p++ = (char)((frac_part >> fbits) + '0');
+ frac_part &= ((Uint64)1 << fbits) - 1;
+ }
}
/* Delete trailing zeroes */
diff --git a/erts/emulator/test/num_bif_SUITE.erl b/erts/emulator/test/num_bif_SUITE.erl
index ac1a667185..d950179882 100644
--- a/erts/emulator/test/num_bif_SUITE.erl
+++ b/erts/emulator/test/num_bif_SUITE.erl
@@ -118,6 +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),
@@ -167,8 +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]),
@@ -184,6 +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) ->
@@ -197,6 +201,49 @@ 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}]),
+ 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).
+
+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) ->
@@ -331,18 +378,26 @@ t_trunc_and_friends(_Config) ->
-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) ->
- F0 = rand:uniform() * math:pow(10, 50*rand:normal()),
- F = case rand:uniform() of
- U when U < 0.5 -> -F0;
- _ -> F0
- end,
- _ = trunc_and_friends(F),
+ _ = trunc_and_friends(rand_float()),
t_trunc_and_friends_rand(N-1).
trunc_and_friends(F) ->
diff --git a/erts/lib_src/common/erl_printf_format.c b/erts/lib_src/common/erl_printf_format.c
index 3daa066fd3..3302083288 100644
--- a/erts/lib_src/common/erl_printf_format.c
+++ b/erts/lib_src/common/erl_printf_format.c
@@ -331,7 +331,7 @@ static int fmt_double(fmtfn_t fn,void*arg,double val,
char *bufp = sbuf;
double dexp;
int exp;
- size_t max_size = 1;
+ size_t max_size = 2; /* including possible sign */
int size;
int new_fmt = fmt;
int fpe_was_unmasked;
generated by cgit v1.2.3 (git 2.25.1) at 2024-11-22 06:17:03 +0000