Infinities in type numeric - Mailing list pgsql-hackers
| From | Tom Lane |
|---|---|
| Subject | Infinities in type numeric |
| Date | |
| Msg-id | 606717.1591924582@sss.pgh.pa.us Whole thread Raw |
| Responses |
Re: Infinities in type numeric
Re: Infinities in type numeric Re: Infinities in type numeric Re: Infinities in type numeric |
| List | pgsql-hackers |
We had a discussion recently about how it'd be a good idea to support
infinity values in type numeric [1]. Here's a draft patch enabling
that, using the idea suggested in that thread of commandeering some
unused bits in the representation of numeric NaNs. AFAICT we've been
careful to ensure those bits are always zero, so that this will work
without creating any pg_upgrade problems.
This is just WIP, partly because I haven't touched the SGML docs
yet, but also because there are some loose ends to be resolved:
* I believe I made all the functions that correspond to POSIX-standard
functions do what POSIX says for infinite inputs. However, this does
not always match what our existing float8 functions do [2]. I'm
assuming that we'll change those functions to match POSIX; but if we
don't, this might need another look.
* I had to invent some semantics for non-standardized functions,
particularly numeric_mod, numeric_gcd, numeric_lcm. This area
could use review to be sure that I chose desirable behaviors.
* I'm only about 50% sure that I understand what the sort abbreviation
code is doing. A quick look from Peter or some other expert would be
helpful.
* It seems to me that the existing behavior of numeric_stddev_internal
is not quite right for the case of a single input value that is a NaN,
when in "sample" mode. Per the comment "Sample stddev and variance are
undefined when N <= 1", ISTM that we ought to return NULL in this case,
but actually you get a NaN because the check for "NaNcount > 0" is made
before considering that. I think that's the wrong way round --- in some
sense NULL is "less defined" than NaN, so that's what we ought to use.
Moreover, the float8 stddev code agrees: in HEAD you get
regression=# SELECT stddev_samp('nan'::float8);
stddev_samp
-------------
(1 row)
regression=# SELECT stddev_samp('nan'::numeric);
stddev_samp
-------------
NaN
(1 row)
So I think we ought to make the numeric code match the former, and have
done that here. However, the float8 code has its own issues for the
population case [3], and depending on what we do about that, this might
need further changes to agree. (There's also the question of whether to
back-patch any such bug fixes.)
* The jsonpath code is inconsistent about how it handles NaN vs Inf [4].
I'm assuming here that we'll fix that by rejecting NaNs in that code,
but if we conclude that we do need to allow non-finite double values
there, probably we need to allow Infs too.
* It seems like there might be a use-case for isfinite() and maybe
isnan() SQL functions. On the other hand, we don't have those for
float4/float8 either. These could be a follow-on addition, anyway.
I'll stick this in the queue for review.
regards, tom lane
[1] https://www.postgresql.org/message-id/27490.1590414212%40sss.pgh.pa.us
[2] https://www.postgresql.org/message-id/flat/582552.1591917752%40sss.pgh.pa.us
[3] https://www.postgresql.org/message-id/353062.1591898766%40sss.pgh.pa.us
[4] https://www.postgresql.org/message-id/flat/203949.1591879542%40sss.pgh.pa.us
diff --git a/contrib/jsonb_plperl/jsonb_plperl.c b/contrib/jsonb_plperl/jsonb_plperl.c
index ed361efbe2..b81ba54b80 100644
--- a/contrib/jsonb_plperl/jsonb_plperl.c
+++ b/contrib/jsonb_plperl/jsonb_plperl.c
@@ -227,10 +227,8 @@ SV_to_JsonbValue(SV *in, JsonbParseState **jsonb_state, bool is_elem)
/*
* jsonb doesn't allow infinity or NaN (per JSON
* specification), but the numeric type that is used for the
- * storage accepts NaN, so we have to prevent it here
- * explicitly. We don't really have to check for isinf()
- * here, as numeric doesn't allow it and it would be caught
- * later, but it makes for a nicer error message.
+ * storage accepts those, so we have to reject them here
+ * explicitly.
*/
if (isinf(nval))
ereport(ERROR,
diff --git a/contrib/jsonb_plpython/jsonb_plpython.c b/contrib/jsonb_plpython/jsonb_plpython.c
index e09308daf0..836c178770 100644
--- a/contrib/jsonb_plpython/jsonb_plpython.c
+++ b/contrib/jsonb_plpython/jsonb_plpython.c
@@ -387,14 +387,17 @@ PLyNumber_ToJsonbValue(PyObject *obj, JsonbValue *jbvNum)
pfree(str);
/*
- * jsonb doesn't allow NaN (per JSON specification), so we have to prevent
- * it here explicitly. (Infinity is also not allowed in jsonb, but
- * numeric_in above already catches that.)
+ * jsonb doesn't allow NaN or infinity (per JSON specification), so we
+ * have to reject those here explicitly.
*/
if (numeric_is_nan(num))
ereport(ERROR,
(errcode(ERRCODE_NUMERIC_VALUE_OUT_OF_RANGE),
errmsg("cannot convert NaN to jsonb")));
+ if (numeric_is_inf(num))
+ ereport(ERROR,
+ (errcode(ERRCODE_NUMERIC_VALUE_OUT_OF_RANGE),
+ errmsg("cannot convert infinity to jsonb")));
jbvNum->type = jbvNumeric;
jbvNum->val.numeric = num;
diff --git a/src/backend/utils/adt/formatting.c b/src/backend/utils/adt/formatting.c
index 16768b28c3..6626438136 100644
--- a/src/backend/utils/adt/formatting.c
+++ b/src/backend/utils/adt/formatting.c
@@ -6129,9 +6129,12 @@ numeric_to_char(PG_FUNCTION_ARGS)
/*
* numeric_out_sci() does not emit a sign for positive numbers. We
* need to add a space in this case so that positive and negative
- * numbers are aligned. We also have to do the right thing for NaN.
+ * numbers are aligned. Also must check for NaN/infinity cases, which
+ * we handle the same way as in float8_to_char.
*/
- if (strcmp(orgnum, "NaN") == 0)
+ if (strcmp(orgnum, "NaN") == 0 ||
+ strcmp(orgnum, "Infinity") == 0 ||
+ strcmp(orgnum, "-Infinity") == 0)
{
/*
* Allow 6 characters for the leading sign, the decimal point,
@@ -6346,7 +6349,7 @@ int8_to_char(PG_FUNCTION_ARGS)
/*
* numeric_out_sci() does not emit a sign for positive numbers. We
* need to add a space in this case so that positive and negative
- * numbers are aligned. We don't have to worry about NaN here.
+ * numbers are aligned. We don't have to worry about NaN/inf here.
*/
if (*orgnum != '-')
{
diff --git a/src/backend/utils/adt/numeric.c b/src/backend/utils/adt/numeric.c
index 553e261ed0..94b293d453 100644
--- a/src/backend/utils/adt/numeric.c
+++ b/src/backend/utils/adt/numeric.c
@@ -108,14 +108,13 @@ typedef int16 NumericDigit;
* If the high bits of the first word of a NumericChoice (n_header, or
* n_short.n_header, or n_long.n_sign_dscale) are NUMERIC_SHORT, then the
* numeric follows the NumericShort format; if they are NUMERIC_POS or
- * NUMERIC_NEG, it follows the NumericLong format. If they are NUMERIC_NAN,
- * it is a NaN. We currently always store a NaN using just two bytes (i.e.
- * only n_header), but previous releases used only the NumericLong format,
- * so we might find 4-byte NaNs on disk if a database has been migrated using
- * pg_upgrade. In either case, when the high bits indicate a NaN, the
- * remaining bits are never examined. Currently, we always initialize these
- * to zero, but it might be possible to use them for some other purpose in
- * the future.
+ * NUMERIC_NEG, it follows the NumericLong format. If they are NUMERIC_SPECIAL,
+ * the value is a NaN or Infinity. We currently always store SPECIAL values
+ * using just two bytes (i.e. only n_header), but previous releases used only
+ * the NumericLong format, so we might find 4-byte NaNs (though not infinities)
+ * on disk if a database has been migrated using pg_upgrade. In either case,
+ * the low-order bits of a special value's header are reserved and currently
+ * should always be set to zero.
*
* In the NumericShort format, the remaining 14 bits of the header word
* (n_short.n_header) are allocated as follows: 1 for sign (positive or
@@ -167,25 +166,47 @@ struct NumericData
#define NUMERIC_POS 0x0000
#define NUMERIC_NEG 0x4000
#define NUMERIC_SHORT 0x8000
-#define NUMERIC_NAN 0xC000
+#define NUMERIC_SPECIAL 0xC000
#define NUMERIC_FLAGBITS(n) ((n)->choice.n_header & NUMERIC_SIGN_MASK)
-#define NUMERIC_IS_NAN(n) (NUMERIC_FLAGBITS(n) == NUMERIC_NAN)
#define NUMERIC_IS_SHORT(n) (NUMERIC_FLAGBITS(n) == NUMERIC_SHORT)
+#define NUMERIC_IS_SPECIAL(n) (NUMERIC_FLAGBITS(n) == NUMERIC_SPECIAL)
#define NUMERIC_HDRSZ (VARHDRSZ + sizeof(uint16) + sizeof(int16))
#define NUMERIC_HDRSZ_SHORT (VARHDRSZ + sizeof(uint16))
/*
- * If the flag bits are NUMERIC_SHORT or NUMERIC_NAN, we want the short header;
- * otherwise, we want the long one. Instead of testing against each value, we
- * can just look at the high bit, for a slight efficiency gain.
+ * If the flag bits are NUMERIC_SHORT or NUMERIC_SPECIAL, we want the short
+ * header; otherwise, we want the long one. Instead of testing against each
+ * value, we can just look at the high bit, for a slight efficiency gain.
*/
#define NUMERIC_HEADER_IS_SHORT(n) (((n)->choice.n_header & 0x8000) != 0)
#define NUMERIC_HEADER_SIZE(n) \
(VARHDRSZ + sizeof(uint16) + \
(NUMERIC_HEADER_IS_SHORT(n) ? 0 : sizeof(int16)))
+/*
+ * Definitions for special values (NaN, positive infinity, negative infinity).
+ *
+ * The two bits after the NUMERIC_SPECIAL bits are 00 for NaN, 01 for positive
+ * infinity, 11 for negative infinity. (This makes the sign bit match where
+ * it is in a short-format value, though we make no use of that at present.)
+ * We could mask off the remaining bits before testing the active bits, but
+ * currently those bits must be zeroes, so masking would just add cycles.
+ */
+#define NUMERIC_EXT_SIGN_MASK 0xF000 /* high bits plus NaN/Inf flag bits */
+#define NUMERIC_NAN 0xC000
+#define NUMERIC_PINF 0xD000
+#define NUMERIC_NINF 0xF000
+#define NUMERIC_INF_SIGN_MASK 0x2000
+
+#define NUMERIC_EXT_FLAGBITS(n) ((n)->choice.n_header & NUMERIC_EXT_SIGN_MASK)
+#define NUMERIC_IS_NAN(n) ((n)->choice.n_header == NUMERIC_NAN)
+#define NUMERIC_IS_PINF(n) ((n)->choice.n_header == NUMERIC_PINF)
+#define NUMERIC_IS_NINF(n) ((n)->choice.n_header == NUMERIC_NINF)
+#define NUMERIC_IS_INF(n) \
+ (((n)->choice.n_header & ~NUMERIC_INF_SIGN_MASK) == NUMERIC_PINF)
+
/*
* Short format definitions.
*/
@@ -201,7 +222,13 @@ struct NumericData
#define NUMERIC_SHORT_WEIGHT_MIN (-(NUMERIC_SHORT_WEIGHT_MASK+1))
/*
- * Extract sign, display scale, weight.
+ * Extract sign, display scale, weight. These macros extract field values
+ * suitable for the NumericVar format from the Numeric (on-disk) format.
+ *
+ * Note that we don't trouble to ensure that dscale and weight read as zero
+ * for an infinity; however, that doesn't matter since we never convert
+ * "special" numerics to NumericVar form. Only the constants defined below
+ * (const_nan, etc) ever represent a non-finite value as a NumericVar.
*/
#define NUMERIC_DSCALE_MASK 0x3FFF
@@ -209,7 +236,9 @@ struct NumericData
#define NUMERIC_SIGN(n) \
(NUMERIC_IS_SHORT(n) ? \
(((n)->choice.n_short.n_header & NUMERIC_SHORT_SIGN_MASK) ? \
- NUMERIC_NEG : NUMERIC_POS) : NUMERIC_FLAGBITS(n))
+ NUMERIC_NEG : NUMERIC_POS) : \
+ (NUMERIC_IS_SPECIAL(n) ? \
+ NUMERIC_EXT_FLAGBITS(n) : NUMERIC_FLAGBITS(n)))
#define NUMERIC_DSCALE(n) (NUMERIC_HEADER_IS_SHORT((n)) ? \
((n)->choice.n_short.n_header & NUMERIC_SHORT_DSCALE_MASK) \
>> NUMERIC_SHORT_DSCALE_SHIFT \
@@ -226,7 +255,9 @@ struct NumericData
* complex.
*
* The value represented by a NumericVar is determined by the sign, weight,
- * ndigits, and digits[] array.
+ * ndigits, and digits[] array. If it is a "special" value (NaN or Inf)
+ * then only the sign field matters; ndigits should be zero, and the weight
+ * and dscale fields are ignored.
*
* Note: the first digit of a NumericVar's value is assumed to be multiplied
* by NBASE ** weight. Another way to say it is that there are weight+1
@@ -273,7 +304,7 @@ typedef struct NumericVar
{
int ndigits; /* # of digits in digits[] - can be 0! */
int weight; /* weight of first digit */
- int sign; /* NUMERIC_POS, NUMERIC_NEG, or NUMERIC_NAN */
+ int sign; /* NUMERIC_POS, _NEG, _NAN, _PINF, or _NINF */
int dscale; /* display scale */
NumericDigit *buf; /* start of palloc'd space for digits[] */
NumericDigit *digits; /* base-NBASE digits */
@@ -359,10 +390,14 @@ typedef struct NumericSumAccum
#define NumericAbbrevGetDatum(X) ((Datum) (X))
#define DatumGetNumericAbbrev(X) ((int64) (X))
#define NUMERIC_ABBREV_NAN NumericAbbrevGetDatum(PG_INT64_MIN)
+#define NUMERIC_ABBREV_PINF NumericAbbrevGetDatum(PG_INT64_MIN)
+#define NUMERIC_ABBREV_NINF NumericAbbrevGetDatum(PG_INT64_MAX)
#else
#define NumericAbbrevGetDatum(X) ((Datum) (X))
#define DatumGetNumericAbbrev(X) ((int32) (X))
#define NUMERIC_ABBREV_NAN NumericAbbrevGetDatum(PG_INT32_MIN)
+#define NUMERIC_ABBREV_PINF NumericAbbrevGetDatum(PG_INT32_MIN)
+#define NUMERIC_ABBREV_NINF NumericAbbrevGetDatum(PG_INT32_MAX)
#endif
@@ -378,6 +413,9 @@ static const NumericDigit const_one_data[1] = {1};
static const NumericVar const_one =
{1, 0, NUMERIC_POS, 0, NULL, (NumericDigit *) const_one_data};
+static const NumericVar const_minus_one =
+{1, 0, NUMERIC_NEG, 0, NULL, (NumericDigit *) const_one_data};
+
static const NumericDigit const_two_data[1] = {2};
static const NumericVar const_two =
{1, 0, NUMERIC_POS, 0, NULL, (NumericDigit *) const_two_data};
@@ -415,6 +453,12 @@ static const NumericVar const_one_point_one =
static const NumericVar const_nan =
{0, 0, NUMERIC_NAN, 0, NULL, NULL};
+static const NumericVar const_pinf =
+{0, 0, NUMERIC_PINF, 0, NULL, NULL};
+
+static const NumericVar const_ninf =
+{0, 0, NUMERIC_NINF, 0, NULL, NULL};
+
#if DEC_DIGITS == 4
static const int round_powers[4] = {0, 1000, 100, 10};
#endif
@@ -464,6 +508,7 @@ static void set_var_from_var(const NumericVar *value, NumericVar *dest);
static char *get_str_from_var(const NumericVar *var);
static char *get_str_from_var_sci(const NumericVar *var, int rscale);
+static Numeric duplicate_numeric(Numeric num);
static Numeric make_result(const NumericVar *var);
static Numeric make_result_opt_error(const NumericVar *var, bool *error);
@@ -493,6 +538,7 @@ static int cmp_var_common(const NumericDigit *var1digits, int var1ndigits,
int var1weight, int var1sign,
const NumericDigit *var2digits, int var2ndigits,
int var2weight, int var2sign);
+static bool numeric_is_integral(Numeric num);
static void add_var(const NumericVar *var1, const NumericVar *var2,
NumericVar *result);
static void sub_var(const NumericVar *var1, const NumericVar *var2,
@@ -585,23 +631,43 @@ numeric_in(PG_FUNCTION_ARGS)
}
/*
- * Check for NaN
+ * Check for NaN and infinities. We recognize the same strings allowed by
+ * float8in().
*/
if (pg_strncasecmp(cp, "NaN", 3) == 0)
{
res = make_result(&const_nan);
-
- /* Should be nothing left but spaces */
cp += 3;
- while (*cp)
- {
- if (!isspace((unsigned char) *cp))
- ereport(ERROR,
- (errcode(ERRCODE_INVALID_TEXT_REPRESENTATION),
- errmsg("invalid input syntax for type %s: \"%s\"",
- "numeric", str)));
- cp++;
- }
+ }
+ else if (pg_strncasecmp(cp, "Infinity", 8) == 0)
+ {
+ res = make_result(&const_pinf);
+ cp += 8;
+ }
+ else if (pg_strncasecmp(cp, "+Infinity", 9) == 0)
+ {
+ res = make_result(&const_pinf);
+ cp += 9;
+ }
+ else if (pg_strncasecmp(cp, "-Infinity", 9) == 0)
+ {
+ res = make_result(&const_ninf);
+ cp += 9;
+ }
+ else if (pg_strncasecmp(cp, "inf", 3) == 0)
+ {
+ res = make_result(&const_pinf);
+ cp += 3;
+ }
+ else if (pg_strncasecmp(cp, "+inf", 4) == 0)
+ {
+ res = make_result(&const_pinf);
+ cp += 4;
+ }
+ else if (pg_strncasecmp(cp, "-inf", 4) == 0)
+ {
+ res = make_result(&const_ninf);
+ cp += 4;
}
else
{
@@ -618,7 +684,7 @@ numeric_in(PG_FUNCTION_ARGS)
* We duplicate a few lines of code here because we would like to
* throw any trailing-junk syntax error before any semantic error
* resulting from apply_typmod. We can't easily fold the two cases
- * together because we mustn't apply apply_typmod to a NaN.
+ * together because we mustn't apply apply_typmod to a NaN/Inf.
*/
while (*cp)
{
@@ -634,6 +700,19 @@ numeric_in(PG_FUNCTION_ARGS)
res = make_result(&value);
free_var(&value);
+
+ PG_RETURN_NUMERIC(res);
+ }
+
+ /* Should be nothing left but spaces */
+ while (*cp)
+ {
+ if (!isspace((unsigned char) *cp))
+ ereport(ERROR,
+ (errcode(ERRCODE_INVALID_TEXT_REPRESENTATION),
+ errmsg("invalid input syntax for type %s: \"%s\"",
+ "numeric", str)));
+ cp++;
}
PG_RETURN_NUMERIC(res);
@@ -653,10 +732,17 @@ numeric_out(PG_FUNCTION_ARGS)
char *str;
/*
- * Handle NaN
+ * Handle NaN and infinities
*/
- if (NUMERIC_IS_NAN(num))
- PG_RETURN_CSTRING(pstrdup("NaN"));
+ if (NUMERIC_IS_SPECIAL(num))
+ {
+ if (NUMERIC_IS_PINF(num))
+ PG_RETURN_CSTRING(pstrdup("Infinity"));
+ else if (NUMERIC_IS_NINF(num))
+ PG_RETURN_CSTRING(pstrdup("-Infinity"));
+ else
+ PG_RETURN_CSTRING(pstrdup("NaN"));
+ }
/*
* Get the number in the variable format.
@@ -679,6 +765,17 @@ numeric_is_nan(Numeric num)
return NUMERIC_IS_NAN(num);
}
+/*
+ * numeric_is_inf() -
+ *
+ * Is Numeric value an infinity?
+ */
+bool
+numeric_is_inf(Numeric num)
+{
+ return NUMERIC_IS_INF(num);
+}
+
/*
* numeric_maximum_size() -
*
@@ -730,10 +827,17 @@ numeric_out_sci(Numeric num, int scale)
char *str;
/*
- * Handle NaN
+ * Handle NaN and infinities
*/
- if (NUMERIC_IS_NAN(num))
- return pstrdup("NaN");
+ if (NUMERIC_IS_SPECIAL(num))
+ {
+ if (NUMERIC_IS_PINF(num))
+ return pstrdup("Infinity");
+ else if (NUMERIC_IS_NINF(num))
+ return pstrdup("-Infinity");
+ else
+ return pstrdup("NaN");
+ }
init_var_from_num(num, &x);
@@ -758,10 +862,17 @@ numeric_normalize(Numeric num)
int last;
/*
- * Handle NaN
+ * Handle NaN and infinities
*/
- if (NUMERIC_IS_NAN(num))
- return pstrdup("NaN");
+ if (NUMERIC_IS_SPECIAL(num))
+ {
+ if (NUMERIC_IS_PINF(num))
+ return pstrdup("Infinity");
+ else if (NUMERIC_IS_NINF(num))
+ return pstrdup("-Infinity");
+ else
+ return pstrdup("NaN");
+ }
init_var_from_num(num, &x);
@@ -821,7 +932,9 @@ numeric_recv(PG_FUNCTION_ARGS)
value.sign = (uint16) pq_getmsgint(buf, sizeof(uint16));
if (!(value.sign == NUMERIC_POS ||
value.sign == NUMERIC_NEG ||
- value.sign == NUMERIC_NAN))
+ value.sign == NUMERIC_NAN ||
+ value.sign == NUMERIC_PINF ||
+ value.sign == NUMERIC_NINF))
ereport(ERROR,
(errcode(ERRCODE_INVALID_BINARY_REPRESENTATION),
errmsg("invalid sign in external \"numeric\" value")));
@@ -847,11 +960,17 @@ numeric_recv(PG_FUNCTION_ARGS)
* If the given dscale would hide any digits, truncate those digits away.
* We could alternatively throw an error, but that would take a bunch of
* extra code (about as much as trunc_var involves), and it might cause
- * client compatibility issues.
+ * client compatibility issues. Be careful not to apply trunc_var to
+ * special values, as it could do the wrong thing; we don't need it
+ * anyway, since make_result will ignore all but the sign field.
*/
- trunc_var(&value, value.dscale);
+ if (value.sign == NUMERIC_POS ||
+ value.sign == NUMERIC_NEG)
+ {
+ trunc_var(&value, value.dscale);
- apply_typmod(&value, typmod);
+ apply_typmod(&value, typmod);
+ }
res = make_result(&value);
free_var(&value);
@@ -959,21 +1078,18 @@ numeric (PG_FUNCTION_ARGS)
NumericVar var;
/*
- * Handle NaN
+ * Handle NaN and infinities. Note that we allow these to be stored
+ * regardless of the precision limit; perhaps that should be restricted?
*/
- if (NUMERIC_IS_NAN(num))
- PG_RETURN_NUMERIC(make_result(&const_nan));
+ if (NUMERIC_IS_SPECIAL(num))
+ PG_RETURN_NUMERIC(duplicate_numeric(num));
/*
* If the value isn't a valid type modifier, simply return a copy of the
* input value
*/
if (typmod < (int32) (VARHDRSZ))
- {
- new = (Numeric) palloc(VARSIZE(num));
- memcpy(new, num, VARSIZE(num));
- PG_RETURN_NUMERIC(new);
- }
+ PG_RETURN_NUMERIC(duplicate_numeric(num));
/*
* Get the precision and scale out of the typmod value
@@ -995,8 +1111,7 @@ numeric (PG_FUNCTION_ARGS)
&& (NUMERIC_CAN_BE_SHORT(scale, NUMERIC_WEIGHT(num))
|| !NUMERIC_IS_SHORT(num)))
{
- new = (Numeric) palloc(VARSIZE(num));
- memcpy(new, num, VARSIZE(num));
+ new = duplicate_numeric(num);
if (NUMERIC_IS_SHORT(num))
new->choice.n_short.n_header =
(num->choice.n_short.n_header & ~NUMERIC_SHORT_DSCALE_MASK)
@@ -1097,21 +1212,20 @@ numeric_abs(PG_FUNCTION_ARGS)
Numeric num = PG_GETARG_NUMERIC(0);
Numeric res;
- /*
- * Handle NaN
- */
- if (NUMERIC_IS_NAN(num))
- PG_RETURN_NUMERIC(make_result(&const_nan));
-
/*
* Do it the easy way directly on the packed format
*/
- res = (Numeric) palloc(VARSIZE(num));
- memcpy(res, num, VARSIZE(num));
+ res = duplicate_numeric(num);
if (NUMERIC_IS_SHORT(num))
res->choice.n_short.n_header =
num->choice.n_short.n_header & ~NUMERIC_SHORT_SIGN_MASK;
+ else if (NUMERIC_IS_SPECIAL(num))
+ {
+ /* This changes -Inf to Inf, and doesn't affect NaN */
+ res->choice.n_short.n_header =
+ num->choice.n_short.n_header & ~NUMERIC_INF_SIGN_MASK;
+ }
else
res->choice.n_long.n_sign_dscale = NUMERIC_POS | NUMERIC_DSCALE(num);
@@ -1125,24 +1239,25 @@ numeric_uminus(PG_FUNCTION_ARGS)
Numeric num = PG_GETARG_NUMERIC(0);
Numeric res;
- /*
- * Handle NaN
- */
- if (NUMERIC_IS_NAN(num))
- PG_RETURN_NUMERIC(make_result(&const_nan));
-
/*
* Do it the easy way directly on the packed format
*/
- res = (Numeric) palloc(VARSIZE(num));
- memcpy(res, num, VARSIZE(num));
+ res = duplicate_numeric(num);
+
+ if (NUMERIC_IS_SPECIAL(num))
+ {
+ /* Flip the sign, if it's Inf or -Inf */
+ if (!NUMERIC_IS_NAN(num))
+ res->choice.n_short.n_header =
+ num->choice.n_short.n_header ^ NUMERIC_INF_SIGN_MASK;
+ }
/*
* The packed format is known to be totally zero digit trimmed always. So
- * we can identify a ZERO by the fact that there are no digits at all. Do
- * nothing to a zero.
+ * once we've eliminated specials, we can identify a zero by the fact that
+ * there are no digits at all. Do nothing to a zero.
*/
- if (NUMERIC_NDIGITS(num) != 0)
+ else if (NUMERIC_NDIGITS(num) != 0)
{
/* Else, flip the sign */
if (NUMERIC_IS_SHORT(num))
@@ -1164,12 +1279,42 @@ Datum
numeric_uplus(PG_FUNCTION_ARGS)
{
Numeric num = PG_GETARG_NUMERIC(0);
- Numeric res;
- res = (Numeric) palloc(VARSIZE(num));
- memcpy(res, num, VARSIZE(num));
+ PG_RETURN_NUMERIC(duplicate_numeric(num));
+}
- PG_RETURN_NUMERIC(res);
+
+/*
+ * numeric_sign_internal() -
+ *
+ * Returns -1 if the argument is less than 0, 0 if the argument is equal
+ * to 0, and 1 if the argument is greater than zero. Caller must have
+ * taken care of the NaN case, but we can handle infinities here.
+ */
+static int
+numeric_sign_internal(Numeric num)
+{
+ if (NUMERIC_IS_SPECIAL(num))
+ {
+ Assert(!NUMERIC_IS_NAN(num));
+ /* Must be Inf or -Inf */
+ if (NUMERIC_IS_PINF(num))
+ return 1;
+ else
+ return -1;
+ }
+
+ /*
+ * The packed format is known to be totally zero digit trimmed always. So
+ * once we've eliminated specials, we can identify a zero by the fact that
+ * there are no digits at all.
+ */
+ else if (NUMERIC_NDIGITS(num) == 0)
+ return 0;
+ else if (NUMERIC_SIGN(num) == NUMERIC_NEG)
+ return -1;
+ else
+ return 1;
}
/*
@@ -1182,37 +1327,25 @@ Datum
numeric_sign(PG_FUNCTION_ARGS)
{
Numeric num = PG_GETARG_NUMERIC(0);
- Numeric res;
- NumericVar result;
/*
- * Handle NaN
+ * Handle NaN (infinities can be handled normally)
*/
if (NUMERIC_IS_NAN(num))
PG_RETURN_NUMERIC(make_result(&const_nan));
- init_var(&result);
-
- /*
- * The packed format is known to be totally zero digit trimmed always. So
- * we can identify a ZERO by the fact that there are no digits at all.
- */
- if (NUMERIC_NDIGITS(num) == 0)
- set_var_from_var(&const_zero, &result);
- else
+ switch (numeric_sign_internal(num))
{
- /*
- * And if there are some, we return a copy of ONE with the sign of our
- * argument
- */
- set_var_from_var(&const_one, &result);
- result.sign = NUMERIC_SIGN(num);
+ case 0:
+ PG_RETURN_NUMERIC(make_result(&const_zero));
+ case 1:
+ PG_RETURN_NUMERIC(make_result(&const_one));
+ case -1:
+ PG_RETURN_NUMERIC(make_result(&const_minus_one));
}
- res = make_result(&result);
- free_var(&result);
-
- PG_RETURN_NUMERIC(res);
+ Assert(false);
+ return (Datum) 0;
}
@@ -1232,10 +1365,10 @@ numeric_round(PG_FUNCTION_ARGS)
NumericVar arg;
/*
- * Handle NaN
+ * Handle NaN and infinities
*/
- if (NUMERIC_IS_NAN(num))
- PG_RETURN_NUMERIC(make_result(&const_nan));
+ if (NUMERIC_IS_SPECIAL(num))
+ PG_RETURN_NUMERIC(duplicate_numeric(num));
/*
* Limit the scale value to avoid possible overflow in calculations
@@ -1281,10 +1414,10 @@ numeric_trunc(PG_FUNCTION_ARGS)
NumericVar arg;
/*
- * Handle NaN
+ * Handle NaN and infinities
*/
- if (NUMERIC_IS_NAN(num))
- PG_RETURN_NUMERIC(make_result(&const_nan));
+ if (NUMERIC_IS_SPECIAL(num))
+ PG_RETURN_NUMERIC(duplicate_numeric(num));
/*
* Limit the scale value to avoid possible overflow in calculations
@@ -1326,8 +1459,11 @@ numeric_ceil(PG_FUNCTION_ARGS)
Numeric res;
NumericVar result;
- if (NUMERIC_IS_NAN(num))
- PG_RETURN_NUMERIC(make_result(&const_nan));
+ /*
+ * Handle NaN and infinities
+ */
+ if (NUMERIC_IS_SPECIAL(num))
+ PG_RETURN_NUMERIC(duplicate_numeric(num));
init_var_from_num(num, &result);
ceil_var(&result, &result);
@@ -1351,8 +1487,11 @@ numeric_floor(PG_FUNCTION_ARGS)
Numeric res;
NumericVar result;
- if (NUMERIC_IS_NAN(num))
- PG_RETURN_NUMERIC(make_result(&const_nan));
+ /*
+ * Handle NaN and infinities
+ */
+ if (NUMERIC_IS_SPECIAL(num))
+ PG_RETURN_NUMERIC(duplicate_numeric(num));
init_var_from_num(num, &result);
floor_var(&result, &result);
@@ -1388,26 +1527,46 @@ generate_series_step_numeric(PG_FUNCTION_ARGS)
Numeric stop_num = PG_GETARG_NUMERIC(1);
NumericVar steploc = const_one;
- /* handle NaN in start and stop values */
- if (NUMERIC_IS_NAN(start_num))
- ereport(ERROR,
- (errcode(ERRCODE_INVALID_PARAMETER_VALUE),
- errmsg("start value cannot be NaN")));
-
- if (NUMERIC_IS_NAN(stop_num))
- ereport(ERROR,
- (errcode(ERRCODE_INVALID_PARAMETER_VALUE),
- errmsg("stop value cannot be NaN")));
+ /* Reject NaN and infinities in start and stop values */
+ if (NUMERIC_IS_SPECIAL(start_num))
+ {
+ if (NUMERIC_IS_NAN(start_num))
+ ereport(ERROR,
+ (errcode(ERRCODE_INVALID_PARAMETER_VALUE),
+ errmsg("start value cannot be NaN")));
+ else
+ ereport(ERROR,
+ (errcode(ERRCODE_INVALID_PARAMETER_VALUE),
+ errmsg("start value cannot be infinity")));
+ }
+ if (NUMERIC_IS_SPECIAL(stop_num))
+ {
+ if (NUMERIC_IS_NAN(stop_num))
+ ereport(ERROR,
+ (errcode(ERRCODE_INVALID_PARAMETER_VALUE),
+ errmsg("stop value cannot be NaN")));
+ else
+ ereport(ERROR,
+ (errcode(ERRCODE_INVALID_PARAMETER_VALUE),
+ errmsg("stop value cannot be infinity")));
+ }
/* see if we were given an explicit step size */
if (PG_NARGS() == 3)
{
Numeric step_num = PG_GETARG_NUMERIC(2);
- if (NUMERIC_IS_NAN(step_num))
- ereport(ERROR,
- (errcode(ERRCODE_INVALID_PARAMETER_VALUE),
- errmsg("step size cannot be NaN")));
+ if (NUMERIC_IS_SPECIAL(step_num))
+ {
+ if (NUMERIC_IS_NAN(step_num))
+ ereport(ERROR,
+ (errcode(ERRCODE_INVALID_PARAMETER_VALUE),
+ errmsg("step size cannot be NaN")));
+ else
+ ereport(ERROR,
+ (errcode(ERRCODE_INVALID_PARAMETER_VALUE),
+ errmsg("step size cannot be infinity")));
+ }
init_var_from_num(step_num, &steploc);
@@ -1508,12 +1667,21 @@ width_bucket_numeric(PG_FUNCTION_ARGS)
(errcode(ERRCODE_INVALID_ARGUMENT_FOR_WIDTH_BUCKET_FUNCTION),
errmsg("count must be greater than zero")));
- if (NUMERIC_IS_NAN(operand) ||
- NUMERIC_IS_NAN(bound1) ||
- NUMERIC_IS_NAN(bound2))
- ereport(ERROR,
- (errcode(ERRCODE_INVALID_ARGUMENT_FOR_WIDTH_BUCKET_FUNCTION),
- errmsg("operand, lower bound, and upper bound cannot be NaN")));
+ if (NUMERIC_IS_SPECIAL(operand) ||
+ NUMERIC_IS_SPECIAL(bound1) ||
+ NUMERIC_IS_SPECIAL(bound2))
+ {
+ if (NUMERIC_IS_NAN(operand) ||
+ NUMERIC_IS_NAN(bound1) ||
+ NUMERIC_IS_NAN(bound2))
+ ereport(ERROR,
+ (errcode(ERRCODE_INVALID_ARGUMENT_FOR_WIDTH_BUCKET_FUNCTION),
+ errmsg("operand, lower bound, and upper bound cannot be NaN")));
+ else
+ ereport(ERROR,
+ (errcode(ERRCODE_INVALID_ARGUMENT_FOR_WIDTH_BUCKET_FUNCTION),
+ errmsg("operand, lower bound, and upper bound cannot be infinity")));
+ }
init_var(&result_var);
init_var(&count_var);
@@ -1717,9 +1885,14 @@ numeric_abbrev_convert(Datum original_datum, SortSupport ssup)
else
value = (Numeric) original_varatt;
- if (NUMERIC_IS_NAN(value))
+ if (NUMERIC_IS_SPECIAL(value))
{
- result = NUMERIC_ABBREV_NAN;
+ if (NUMERIC_IS_PINF(value))
+ result = NUMERIC_ABBREV_PINF;
+ else if (NUMERIC_IS_NINF(value))
+ result = NUMERIC_ABBREV_NINF;
+ else
+ result = NUMERIC_ABBREV_NAN;
}
else
{
@@ -1845,7 +2018,7 @@ numeric_cmp_abbrev(Datum x, Datum y, SortSupport ssup)
{
/*
* NOTE WELL: this is intentionally backwards, because the abbreviation is
- * negated relative to the original value, to handle NaN.
+ * negated relative to the original value, to handle NaN/infinity cases.
*/
if (DatumGetNumericAbbrev(x) < DatumGetNumericAbbrev(y))
return 1;
@@ -2148,20 +2321,42 @@ cmp_numerics(Numeric num1, Numeric num2)
int result;
/*
- * We consider all NANs to be equal and larger than any non-NAN. This is
- * somewhat arbitrary; the important thing is to have a consistent sort
- * order.
+ * We consider all NANs to be equal and larger than any non-NAN (including
+ * Infinity). This is somewhat arbitrary; the important thing is to have
+ * a consistent sort order.
*/
- if (NUMERIC_IS_NAN(num1))
+ if (NUMERIC_IS_SPECIAL(num1))
{
- if (NUMERIC_IS_NAN(num2))
- result = 0; /* NAN = NAN */
- else
- result = 1; /* NAN > non-NAN */
+ if (NUMERIC_IS_NAN(num1))
+ {
+ if (NUMERIC_IS_NAN(num2))
+ result = 0; /* NAN = NAN */
+ else
+ result = 1; /* NAN > non-NAN */
+ }
+ else if (NUMERIC_IS_PINF(num1))
+ {
+ if (NUMERIC_IS_NAN(num2))
+ result = -1; /* PINF < NAN */
+ else if (NUMERIC_IS_PINF(num2))
+ result = 0; /* PINF = PINF */
+ else
+ result = 1; /* PINF > anything else */
+ }
+ else /* num1 must be NINF */
+ {
+ if (NUMERIC_IS_NINF(num2))
+ result = 0; /* NINF = NINF */
+ else
+ result = -1; /* NINF < anything else */
+ }
}
- else if (NUMERIC_IS_NAN(num2))
+ else if (NUMERIC_IS_SPECIAL(num2))
{
- result = -1; /* non-NAN < NAN */
+ if (NUMERIC_IS_NINF(num2))
+ result = 1; /* normal > NINF */
+ else
+ result = -1; /* normal < NAN or PINF */
}
else
{
@@ -2188,10 +2383,12 @@ in_range_numeric_numeric(PG_FUNCTION_ARGS)
bool result;
/*
- * Reject negative or NaN offset. Negative is per spec, and NaN is
- * because appropriate semantics for that seem non-obvious.
+ * Reject negative (including -Inf) or NaN offset. Negative is per spec,
+ * and NaN is because appropriate semantics for that seem non-obvious.
*/
- if (NUMERIC_IS_NAN(offset) || NUMERIC_SIGN(offset) == NUMERIC_NEG)
+ if (NUMERIC_IS_NAN(offset) ||
+ NUMERIC_IS_NINF(offset) ||
+ NUMERIC_SIGN(offset) == NUMERIC_NEG)
ereport(ERROR,
(errcode(ERRCODE_INVALID_PRECEDING_OR_FOLLOWING_SIZE),
errmsg("invalid preceding or following size in window function")));
@@ -2212,6 +2409,45 @@ in_range_numeric_numeric(PG_FUNCTION_ARGS)
{
result = less; /* non-NAN < NAN */
}
+
+ /*
+ * Deal with infinite offset (necessarily +Inf, at this point). Infinite
+ * val and/or base cannot affect the conclusion.
+ */
+ else if (NUMERIC_IS_SPECIAL(offset))
+ {
+ Assert(NUMERIC_IS_PINF(offset));
+ result = (sub ? !less : less);
+ }
+
+ /*
+ * Deal with cases where val and/or base is infinite. The offset, being
+ * now known finite, cannot affect the conclusion.
+ */
+ else if (NUMERIC_IS_SPECIAL(val))
+ {
+ if (NUMERIC_IS_PINF(val))
+ {
+ if (NUMERIC_IS_PINF(base))
+ result = true; /* PINF = PINF */
+ else
+ result = !less; /* PINF > any other non-NAN */
+ }
+ else /* val must be NINF */
+ {
+ if (NUMERIC_IS_NINF(base))
+ result = true; /* NINF = NINF */
+ else
+ result = less; /* NINF < anything else */
+ }
+ }
+ else if (NUMERIC_IS_SPECIAL(base))
+ {
+ if (NUMERIC_IS_NINF(base))
+ result = !less; /* normal > NINF */
+ else
+ result = less; /* normal < PINF */
+ }
else
{
/*
@@ -2262,8 +2498,8 @@ hash_numeric(PG_FUNCTION_ARGS)
int hash_len;
NumericDigit *digits;
- /* If it's NaN, don't try to hash the rest of the fields */
- if (NUMERIC_IS_NAN(key))
+ /* If it's NaN or infinity, don't try to hash the rest of the fields */
+ if (NUMERIC_IS_SPECIAL(key))
PG_RETURN_UINT32(0);
weight = NUMERIC_WEIGHT(key);
@@ -2343,7 +2579,8 @@ hash_numeric_extended(PG_FUNCTION_ARGS)
int hash_len;
NumericDigit *digits;
- if (NUMERIC_IS_NAN(key))
+ /* If it's NaN or infinity, don't try to hash the rest of the fields */
+ if (NUMERIC_IS_SPECIAL(key))
PG_RETURN_UINT64(seed);
weight = NUMERIC_WEIGHT(key);
@@ -2427,10 +2664,32 @@ numeric_add_opt_error(Numeric num1, Numeric num2, bool *have_error)
Numeric res;
/*
- * Handle NaN
+ * Handle NaN and infinities
*/
- if (NUMERIC_IS_NAN(num1) || NUMERIC_IS_NAN(num2))
- return make_result(&const_nan);
+ if (NUMERIC_IS_SPECIAL(num1) || NUMERIC_IS_SPECIAL(num2))
+ {
+ if (NUMERIC_IS_NAN(num1) || NUMERIC_IS_NAN(num2))
+ return make_result(&const_nan);
+ if (NUMERIC_IS_PINF(num1))
+ {
+ if (NUMERIC_IS_NINF(num2))
+ return make_result(&const_nan); /* Inf + -Inf */
+ else
+ return make_result(&const_pinf);
+ }
+ if (NUMERIC_IS_NINF(num1))
+ {
+ if (NUMERIC_IS_PINF(num2))
+ return make_result(&const_nan); /* -Inf + Inf */
+ else
+ return make_result(&const_ninf);
+ }
+ /* by here, num1 must be finite, so num2 is not */
+ if (NUMERIC_IS_PINF(num2))
+ return make_result(&const_pinf);
+ Assert(NUMERIC_IS_NINF(num2));
+ return make_result(&const_ninf);
+ }
/*
* Unpack the values, let add_var() compute the result and return it.
@@ -2483,10 +2742,32 @@ numeric_sub_opt_error(Numeric num1, Numeric num2, bool *have_error)
Numeric res;
/*
- * Handle NaN
+ * Handle NaN and infinities
*/
- if (NUMERIC_IS_NAN(num1) || NUMERIC_IS_NAN(num2))
- return make_result(&const_nan);
+ if (NUMERIC_IS_SPECIAL(num1) || NUMERIC_IS_SPECIAL(num2))
+ {
+ if (NUMERIC_IS_NAN(num1) || NUMERIC_IS_NAN(num2))
+ return make_result(&const_nan);
+ if (NUMERIC_IS_PINF(num1))
+ {
+ if (NUMERIC_IS_PINF(num2))
+ return make_result(&const_nan); /* Inf - Inf */
+ else
+ return make_result(&const_pinf);
+ }
+ if (NUMERIC_IS_NINF(num1))
+ {
+ if (NUMERIC_IS_NINF(num2))
+ return make_result(&const_nan); /* -Inf - -Inf */
+ else
+ return make_result(&const_ninf);
+ }
+ /* by here, num1 must be finite, so num2 is not */
+ if (NUMERIC_IS_PINF(num2))
+ return make_result(&const_ninf);
+ Assert(NUMERIC_IS_NINF(num2));
+ return make_result(&const_pinf);
+ }
/*
* Unpack the values, let sub_var() compute the result and return it.
@@ -2539,10 +2820,64 @@ numeric_mul_opt_error(Numeric num1, Numeric num2, bool *have_error)
Numeric res;
/*
- * Handle NaN
+ * Handle NaN and infinities
*/
- if (NUMERIC_IS_NAN(num1) || NUMERIC_IS_NAN(num2))
- return make_result(&const_nan);
+ if (NUMERIC_IS_SPECIAL(num1) || NUMERIC_IS_SPECIAL(num2))
+ {
+ if (NUMERIC_IS_NAN(num1) || NUMERIC_IS_NAN(num2))
+ return make_result(&const_nan);
+ if (NUMERIC_IS_PINF(num1))
+ {
+ switch (numeric_sign_internal(num2))
+ {
+ case 0:
+ return make_result(&const_nan); /* Inf * 0 */
+ case 1:
+ return make_result(&const_pinf);
+ case -1:
+ return make_result(&const_ninf);
+ }
+ Assert(false);
+ }
+ if (NUMERIC_IS_NINF(num1))
+ {
+ switch (numeric_sign_internal(num2))
+ {
+ case 0:
+ return make_result(&const_nan); /* -Inf * 0 */
+ case 1:
+ return make_result(&const_ninf);
+ case -1:
+ return make_result(&const_pinf);
+ }
+ Assert(false);
+ }
+ /* by here, num1 must be finite, so num2 is not */
+ if (NUMERIC_IS_PINF(num2))
+ {
+ switch (numeric_sign_internal(num1))
+ {
+ case 0:
+ return make_result(&const_nan); /* 0 * Inf */
+ case 1:
+ return make_result(&const_pinf);
+ case -1:
+ return make_result(&const_ninf);
+ }
+ Assert(false);
+ }
+ Assert(NUMERIC_IS_NINF(num2));
+ switch (numeric_sign_internal(num1))
+ {
+ case 0:
+ return make_result(&const_nan); /* 0 * -Inf */
+ case 1:
+ return make_result(&const_ninf);
+ case -1:
+ return make_result(&const_pinf);
+ }
+ Assert(false);
+ }
/*
* Unpack the values, let mul_var() compute the result and return it.
@@ -2603,10 +2938,67 @@ numeric_div_opt_error(Numeric num1, Numeric num2, bool *have_error)
*have_error = false;
/*
- * Handle NaN
+ * Handle NaN and infinities
*/
- if (NUMERIC_IS_NAN(num1) || NUMERIC_IS_NAN(num2))
- return make_result(&const_nan);
+ if (NUMERIC_IS_SPECIAL(num1) || NUMERIC_IS_SPECIAL(num2))
+ {
+ if (NUMERIC_IS_NAN(num1) || NUMERIC_IS_NAN(num2))
+ return make_result(&const_nan);
+ if (NUMERIC_IS_PINF(num1))
+ {
+ if (NUMERIC_IS_SPECIAL(num2))
+ return make_result(&const_nan); /* Inf / [-]Inf */
+ switch (numeric_sign_internal(num2))
+ {
+ case 0:
+ if (have_error)
+ {
+ *have_error = true;
+ return NULL;
+ }
+ ereport(ERROR,
+ (errcode(ERRCODE_DIVISION_BY_ZERO),
+ errmsg("division by zero")));
+ break;
+ case 1:
+ return make_result(&const_pinf);
+ case -1:
+ return make_result(&const_ninf);
+ }
+ Assert(false);
+ }
+ if (NUMERIC_IS_NINF(num1))
+ {
+ if (NUMERIC_IS_SPECIAL(num2))
+ return make_result(&const_nan); /* -Inf / [-]Inf */
+ switch (numeric_sign_internal(num2))
+ {
+ case 0:
+ if (have_error)
+ {
+ *have_error = true;
+ return NULL;
+ }
+ ereport(ERROR,
+ (errcode(ERRCODE_DIVISION_BY_ZERO),
+ errmsg("division by zero")));
+ break;
+ case 1:
+ return make_result(&const_ninf);
+ case -1:
+ return make_result(&const_pinf);
+ }
+ Assert(false);
+ }
+ /* by here, num1 must be finite, so num2 is not */
+
+ /*
+ * POSIX would have us return zero or minus zero if num1 is zero, and
+ * otherwise throw an underflow error. But the numeric type doesn't
+ * really do underflow, so let's just return zero.
+ */
+ return make_result(&const_zero);
+ }
/*
* Unpack the arguments
@@ -2658,11 +3050,58 @@ numeric_div_trunc(PG_FUNCTION_ARGS)
NumericVar result;
Numeric res;
- /*
- * Handle NaN
- */
- if (NUMERIC_IS_NAN(num1) || NUMERIC_IS_NAN(num2))
- PG_RETURN_NUMERIC(make_result(&const_nan));
+ /*
+ * Handle NaN and infinities
+ */
+ if (NUMERIC_IS_SPECIAL(num1) || NUMERIC_IS_SPECIAL(num2))
+ {
+ if (NUMERIC_IS_NAN(num1) || NUMERIC_IS_NAN(num2))
+ PG_RETURN_NUMERIC(make_result(&const_nan));
+ if (NUMERIC_IS_PINF(num1))
+ {
+ if (NUMERIC_IS_SPECIAL(num2))
+ PG_RETURN_NUMERIC(make_result(&const_nan)); /* Inf / [-]Inf */
+ switch (numeric_sign_internal(num2))
+ {
+ case 0:
+ ereport(ERROR,
+ (errcode(ERRCODE_DIVISION_BY_ZERO),
+ errmsg("division by zero")));
+ break;
+ case 1:
+ PG_RETURN_NUMERIC(make_result(&const_pinf));
+ case -1:
+ PG_RETURN_NUMERIC(make_result(&const_ninf));
+ }
+ Assert(false);
+ }
+ if (NUMERIC_IS_NINF(num1))
+ {
+ if (NUMERIC_IS_SPECIAL(num2))
+ PG_RETURN_NUMERIC(make_result(&const_nan)); /* -Inf / [-]Inf */
+ switch (numeric_sign_internal(num2))
+ {
+ case 0:
+ ereport(ERROR,
+ (errcode(ERRCODE_DIVISION_BY_ZERO),
+ errmsg("division by zero")));
+ break;
+ case 1:
+ PG_RETURN_NUMERIC(make_result(&const_ninf));
+ case -1:
+ PG_RETURN_NUMERIC(make_result(&const_pinf));
+ }
+ Assert(false);
+ }
+ /* by here, num1 must be finite, so num2 is not */
+
+ /*
+ * POSIX would have us return zero or minus zero if num1 is zero, and
+ * otherwise throw an underflow error. But the numeric type doesn't
+ * really do underflow, so let's just return zero.
+ */
+ PG_RETURN_NUMERIC(make_result(&const_zero));
+ }
/*
* Unpack the arguments
@@ -2721,8 +3160,32 @@ numeric_mod_opt_error(Numeric num1, Numeric num2, bool *have_error)
if (have_error)
*have_error = false;
- if (NUMERIC_IS_NAN(num1) || NUMERIC_IS_NAN(num2))
- return make_result(&const_nan);
+ /*
+ * Handle NaN and infinities
+ */
+ if (NUMERIC_IS_SPECIAL(num1) || NUMERIC_IS_SPECIAL(num2))
+ {
+ if (NUMERIC_IS_NAN(num1) || NUMERIC_IS_NAN(num2))
+ return make_result(&const_nan);
+ if (NUMERIC_IS_INF(num1))
+ {
+ if (numeric_sign_internal(num2) == 0)
+ {
+ if (have_error)
+ {
+ *have_error = true;
+ return NULL;
+ }
+ ereport(ERROR,
+ (errcode(ERRCODE_DIVISION_BY_ZERO),
+ errmsg("division by zero")));
+ }
+ /* Inf % any nonzero = NaN */
+ return make_result(&const_nan);
+ }
+ /* num2 must be [-]Inf; result is num1 regardless of sign of num2 */
+ return duplicate_numeric(num1);
+ }
init_var_from_num(num1, &arg1);
init_var_from_num(num2, &arg2);
@@ -2761,10 +3224,10 @@ numeric_inc(PG_FUNCTION_ARGS)
Numeric res;
/*
- * Handle NaN
+ * Handle NaN and infinities
*/
- if (NUMERIC_IS_NAN(num))
- PG_RETURN_NUMERIC(make_result(&const_nan));
+ if (NUMERIC_IS_SPECIAL(num))
+ PG_RETURN_NUMERIC(duplicate_numeric(num));
/*
* Compute the result and return it
@@ -2848,10 +3311,30 @@ numeric_gcd(PG_FUNCTION_ARGS)
Numeric res;
/*
- * Handle NaN
+ * Handle NaN and infinities
*/
- if (NUMERIC_IS_NAN(num1) || NUMERIC_IS_NAN(num2))
- PG_RETURN_NUMERIC(make_result(&const_nan));
+ if (NUMERIC_IS_SPECIAL(num1) || NUMERIC_IS_SPECIAL(num2))
+ {
+ if (NUMERIC_IS_NAN(num1) || NUMERIC_IS_NAN(num2))
+ PG_RETURN_NUMERIC(make_result(&const_nan));
+ /*----------
+ * We have these cases involving infinities:
+ * gcd([-]Inf, 0) = Inf
+ * gcd([-]Inf, [-]Inf) = Inf
+ * gcd([-]Inf, x) = abs(x) for any finite nonzero x
+ *----------
+ */
+ if (NUMERIC_IS_INF(num1))
+ {
+ if (numeric_sign_internal(num2) == 0)
+ PG_RETURN_NUMERIC(make_result(&const_pinf));
+ return DirectFunctionCall1(numeric_abs, NumericGetDatum(num2));
+ }
+ Assert(NUMERIC_IS_INF(num2));
+ if (numeric_sign_internal(num1) == 0)
+ PG_RETURN_NUMERIC(make_result(&const_pinf));
+ return DirectFunctionCall1(numeric_abs, NumericGetDatum(num1));
+ }
/*
* Unpack the arguments
@@ -2890,10 +3373,23 @@ numeric_lcm(PG_FUNCTION_ARGS)
Numeric res;
/*
- * Handle NaN
+ * Handle NaN and infinities
*/
- if (NUMERIC_IS_NAN(num1) || NUMERIC_IS_NAN(num2))
- PG_RETURN_NUMERIC(make_result(&const_nan));
+ if (NUMERIC_IS_SPECIAL(num1) || NUMERIC_IS_SPECIAL(num2))
+ {
+ if (NUMERIC_IS_NAN(num1) || NUMERIC_IS_NAN(num2))
+ PG_RETURN_NUMERIC(make_result(&const_nan));
+
+ /*
+ * The lcm for any case involving an infinity is +Inf ... except when
+ * the other argument is zero.
+ */
+ if (numeric_sign_internal(num1) == 0 ||
+ numeric_sign_internal(num2) == 0)
+ PG_RETURN_NUMERIC(make_result(&const_zero));
+ else
+ PG_RETURN_NUMERIC(make_result(&const_pinf));
+ }
/*
* Unpack the arguments
@@ -2997,10 +3493,18 @@ numeric_sqrt(PG_FUNCTION_ARGS)
int rscale;
/*
- * Handle NaN
+ * Handle NaN and infinities
*/
- if (NUMERIC_IS_NAN(num))
- PG_RETURN_NUMERIC(make_result(&const_nan));
+ if (NUMERIC_IS_SPECIAL(num))
+ {
+ /* error should match that in sqrt_var() */
+ if (NUMERIC_IS_NINF(num))
+ ereport(ERROR,
+ (errcode(ERRCODE_INVALID_ARGUMENT_FOR_POWER_FUNCTION),
+ errmsg("cannot take square root of a negative number")));
+ /* For NAN or PINF, just duplicate the input */
+ PG_RETURN_NUMERIC(duplicate_numeric(num));
+ }
/*
* Unpack the argument and determine the result scale. We choose a scale
@@ -3048,10 +3552,16 @@ numeric_exp(PG_FUNCTION_ARGS)
double val;
/*
- * Handle NaN
+ * Handle NaN and infinities
*/
- if (NUMERIC_IS_NAN(num))
- PG_RETURN_NUMERIC(make_result(&const_nan));
+ if (NUMERIC_IS_SPECIAL(num))
+ {
+ /* Per POSIX, exp(-Inf) is zero */
+ if (NUMERIC_IS_NINF(num))
+ PG_RETURN_NUMERIC(make_result(&const_zero));
+ /* For NAN or PINF, just duplicate the input */
+ PG_RETURN_NUMERIC(duplicate_numeric(num));
+ }
/*
* Unpack the argument and determine the result scale. We choose a scale
@@ -3109,10 +3619,17 @@ numeric_ln(PG_FUNCTION_ARGS)
int rscale;
/*
- * Handle NaN
+ * Handle NaN and infinities
*/
- if (NUMERIC_IS_NAN(num))
- PG_RETURN_NUMERIC(make_result(&const_nan));
+ if (NUMERIC_IS_SPECIAL(num))
+ {
+ if (NUMERIC_IS_NINF(num))
+ ereport(ERROR,
+ (errcode(ERRCODE_INVALID_ARGUMENT_FOR_LOG),
+ errmsg("cannot take logarithm of a negative number")));
+ /* For NAN or PINF, just duplicate the input */
+ PG_RETURN_NUMERIC(duplicate_numeric(num));
+ }
init_var_from_num(num, &arg);
init_var(&result);
@@ -3151,10 +3668,39 @@ numeric_log(PG_FUNCTION_ARGS)
NumericVar result;
/*
- * Handle NaN
+ * Handle NaN and infinities
*/
- if (NUMERIC_IS_NAN(num1) || NUMERIC_IS_NAN(num2))
- PG_RETURN_NUMERIC(make_result(&const_nan));
+ if (NUMERIC_IS_SPECIAL(num1) || NUMERIC_IS_SPECIAL(num2))
+ {
+ int sign1,
+ sign2;
+
+ if (NUMERIC_IS_NAN(num1) || NUMERIC_IS_NAN(num2))
+ PG_RETURN_NUMERIC(make_result(&const_nan));
+ /* fail on negative inputs including -Inf, as log_var would */
+ sign1 = numeric_sign_internal(num1);
+ sign2 = numeric_sign_internal(num2);
+ if (sign1 < 0 || sign2 < 0)
+ ereport(ERROR,
+ (errcode(ERRCODE_INVALID_ARGUMENT_FOR_LOG),
+ errmsg("cannot take logarithm of a negative number")));
+ /* fail on zero inputs, as log_var would */
+ if (sign1 == 0 || sign2 == 0)
+ ereport(ERROR,
+ (errcode(ERRCODE_INVALID_ARGUMENT_FOR_LOG),
+ errmsg("cannot take logarithm of zero")));
+ if (NUMERIC_IS_PINF(num1))
+ {
+ /* log(Inf, Inf) reduces to Inf/Inf, so it's NaN */
+ if (NUMERIC_IS_PINF(num2))
+ PG_RETURN_NUMERIC(make_result(&const_nan));
+ /* log(Inf, finite-positive) is zero (we don't throw underflow) */
+ PG_RETURN_NUMERIC(make_result(&const_zero));
+ }
+ Assert(NUMERIC_IS_PINF(num2));
+ /* log(finite-positive, Inf) is Inf */
+ PG_RETURN_NUMERIC(make_result(&const_pinf));
+ }
/*
* Initialize things
@@ -3180,7 +3726,7 @@ numeric_log(PG_FUNCTION_ARGS)
/*
* numeric_power() -
*
- * Raise b to the power of x
+ * Raise x to the power of y
*/
Datum
numeric_power(PG_FUNCTION_ARGS)
@@ -3190,60 +3736,170 @@ numeric_power(PG_FUNCTION_ARGS)
Numeric res;
NumericVar arg1;
NumericVar arg2;
- NumericVar arg2_trunc;
NumericVar result;
+ int sign1,
+ sign2;
/*
- * Handle NaN cases. We follow the POSIX spec for pow(3), which says that
- * NaN ^ 0 = 1, and 1 ^ NaN = 1, while all other cases with NaN inputs
- * yield NaN (with no error).
+ * Handle NaN and infinities
*/
- if (NUMERIC_IS_NAN(num1))
+ if (NUMERIC_IS_SPECIAL(num1) || NUMERIC_IS_SPECIAL(num2))
{
- if (!NUMERIC_IS_NAN(num2))
+ /*
+ * We follow the POSIX spec for pow(3), which says that NaN ^ 0 = 1,
+ * and 1 ^ NaN = 1, while all other cases with NaN inputs yield NaN
+ * (with no error).
+ */
+ if (NUMERIC_IS_NAN(num1))
+ {
+ if (!NUMERIC_IS_SPECIAL(num2))
+ {
+ init_var_from_num(num2, &arg2);
+ if (cmp_var(&arg2, &const_zero) == 0)
+ PG_RETURN_NUMERIC(make_result(&const_one));
+ }
+ PG_RETURN_NUMERIC(make_result(&const_nan));
+ }
+ if (NUMERIC_IS_NAN(num2))
+ {
+ if (!NUMERIC_IS_SPECIAL(num1))
+ {
+ init_var_from_num(num1, &arg1);
+ if (cmp_var(&arg1, &const_one) == 0)
+ PG_RETURN_NUMERIC(make_result(&const_one));
+ }
+ PG_RETURN_NUMERIC(make_result(&const_nan));
+ }
+ /* At least one input is infinite, but error rules still apply */
+ sign1 = numeric_sign_internal(num1);
+ sign2 = numeric_sign_internal(num2);
+ if (sign1 == 0 && sign2 < 0)
+ ereport(ERROR,
+ (errcode(ERRCODE_INVALID_ARGUMENT_FOR_POWER_FUNCTION),
+ errmsg("zero raised to a negative power is undefined")));
+ if (sign1 < 0 && !numeric_is_integral(num2))
+ ereport(ERROR,
+ (errcode(ERRCODE_INVALID_ARGUMENT_FOR_POWER_FUNCTION),
+ errmsg("a negative number raised to a non-integer power yields a complex result")));
+
+ /*
+ * POSIX gives this series of rules for pow(3) with infinite inputs:
+ *
+ * For any value of y, if x is +1, 1.0 shall be returned.
+ */
+ if (!NUMERIC_IS_SPECIAL(num1))
{
- init_var_from_num(num2, &arg2);
- if (cmp_var(&arg2, &const_zero) == 0)
+ init_var_from_num(num1, &arg1);
+ if (cmp_var(&arg1, &const_one) == 0)
PG_RETURN_NUMERIC(make_result(&const_one));
}
- PG_RETURN_NUMERIC(make_result(&const_nan));
- }
- if (NUMERIC_IS_NAN(num2))
- {
- init_var_from_num(num1, &arg1);
- if (cmp_var(&arg1, &const_one) == 0)
+
+ /*
+ * For any value of x, if y is [-]0, 1.0 shall be returned.
+ */
+ if (sign2 == 0)
PG_RETURN_NUMERIC(make_result(&const_one));
- PG_RETURN_NUMERIC(make_result(&const_nan));
- }
- /*
- * Initialize things
- */
- init_var(&arg2_trunc);
- init_var(&result);
- init_var_from_num(num1, &arg1);
- init_var_from_num(num2, &arg2);
+ /*
+ * For any odd integer value of y > 0, if x is [-]0, [-]0 shall be
+ * returned. For y > 0 and not an odd integer, if x is [-]0, +0 shall
+ * be returned. (Since we don't deal in minus zero, we need not
+ * distinguish these two cases.)
+ */
+ if (sign1 == 0 && sign2 > 0)
+ PG_RETURN_NUMERIC(make_result(&const_zero));
+
+ /*
+ * If x is -1, and y is [-]Inf, 1.0 shall be returned.
+ *
+ * For |x| < 1, if y is -Inf, +Inf shall be returned.
+ *
+ * For |x| > 1, if y is -Inf, +0 shall be returned.
+ *
+ * For |x| < 1, if y is +Inf, +0 shall be returned.
+ *
+ * For |x| > 1, if y is +Inf, +Inf shall be returned.
+ */
+ if (NUMERIC_IS_INF(num2))
+ {
+ bool abs_x_gt_one;
+
+ if (NUMERIC_IS_SPECIAL(num1))
+ abs_x_gt_one = true; /* x is either Inf or -Inf */
+ else
+ {
+ init_var_from_num(num1, &arg1);
+ if (cmp_var(&arg1, &const_minus_one) == 0)
+ PG_RETURN_NUMERIC(make_result(&const_one));
+ arg1.sign = NUMERIC_POS; /* now arg1 = abs(x) */
+ abs_x_gt_one = (cmp_var(&arg1, &const_one) > 0);
+ }
+ if (abs_x_gt_one == (sign2 > 0))
+ PG_RETURN_NUMERIC(make_result(&const_pinf));
+ else
+ PG_RETURN_NUMERIC(make_result(&const_zero));
+ }
+
+ /*
+ * For y < 0, if x is +Inf, +0 shall be returned.
+ *
+ * For y > 0, if x is +Inf, +Inf shall be returned.
+ */
+ if (NUMERIC_IS_PINF(num1))
+ {
+ if (sign2 > 0)
+ PG_RETURN_NUMERIC(make_result(&const_pinf));
+ else
+ PG_RETURN_NUMERIC(make_result(&const_zero));
+ }
+
+ Assert(NUMERIC_IS_NINF(num1));
+
+ /*
+ * For y an odd integer < 0, if x is -Inf, -0 shall be returned. For
+ * y < 0 and not an odd integer, if x is -Inf, +0 shall be returned.
+ * (Again, we need not distinguish these two cases.)
+ */
+ if (sign2 < 0)
+ PG_RETURN_NUMERIC(make_result(&const_zero));
- set_var_from_var(&arg2, &arg2_trunc);
- trunc_var(&arg2_trunc, 0);
+ /*
+ * For y an odd integer > 0, if x is -Inf, -Inf shall be returned. For
+ * y > 0 and not an odd integer, if x is -Inf, +Inf shall be returned.
+ */
+ init_var_from_num(num2, &arg2);
+ if (arg2.ndigits > 0 && arg2.ndigits == arg2.weight + 1 &&
+ (arg2.digits[arg2.ndigits - 1] & 1))
+ PG_RETURN_NUMERIC(make_result(&const_ninf));
+ else
+ PG_RETURN_NUMERIC(make_result(&const_pinf));
+ }
/*
* The SQL spec requires that we emit a particular SQLSTATE error code for
* certain error conditions. Specifically, we don't return a
* divide-by-zero error code for 0 ^ -1.
*/
- if (cmp_var(&arg1, &const_zero) == 0 &&
- cmp_var(&arg2, &const_zero) < 0)
+ sign1 = numeric_sign_internal(num1);
+ sign2 = numeric_sign_internal(num2);
+
+ if (sign1 == 0 && sign2 < 0)
ereport(ERROR,
(errcode(ERRCODE_INVALID_ARGUMENT_FOR_POWER_FUNCTION),
errmsg("zero raised to a negative power is undefined")));
- if (cmp_var(&arg1, &const_zero) < 0 &&
- cmp_var(&arg2, &arg2_trunc) != 0)
+ if (sign1 < 0 && !numeric_is_integral(num2))
ereport(ERROR,
(errcode(ERRCODE_INVALID_ARGUMENT_FOR_POWER_FUNCTION),
errmsg("a negative number raised to a non-integer power yields a complex result")));
+ /*
+ * Initialize things
+ */
+ init_var(&result);
+ init_var_from_num(num1, &arg1);
+ init_var_from_num(num2, &arg2);
+
/*
* Call power_var() to compute and return the result; note it handles
* scale selection itself.
@@ -3253,7 +3909,6 @@ numeric_power(PG_FUNCTION_ARGS)
res = make_result(&result);
free_var(&result);
- free_var(&arg2_trunc);
PG_RETURN_NUMERIC(res);
}
@@ -3268,7 +3923,7 @@ numeric_scale(PG_FUNCTION_ARGS)
{
Numeric num = PG_GETARG_NUMERIC(0);
- if (NUMERIC_IS_NAN(num))
+ if (NUMERIC_IS_SPECIAL(num))
PG_RETURN_NULL();
PG_RETURN_INT32(NUMERIC_DSCALE(num));
@@ -3335,7 +3990,7 @@ numeric_min_scale(PG_FUNCTION_ARGS)
NumericVar arg;
int min_scale;
- if (NUMERIC_IS_NAN(num))
+ if (NUMERIC_IS_SPECIAL(num))
PG_RETURN_NULL();
init_var_from_num(num, &arg);
@@ -3355,8 +4010,8 @@ numeric_trim_scale(PG_FUNCTION_ARGS)
Numeric res;
NumericVar result;
- if (NUMERIC_IS_NAN(num))
- PG_RETURN_NUMERIC(make_result(&const_nan));
+ if (NUMERIC_IS_SPECIAL(num))
+ PG_RETURN_NUMERIC(duplicate_numeric(num));
init_var_from_num(num, &result);
result.dscale = get_min_scale(&result);
@@ -3403,7 +4058,7 @@ numeric_int4_opt_error(Numeric num, bool *have_error)
*have_error = false;
/* XXX would it be better to return NULL? */
- if (NUMERIC_IS_NAN(num))
+ if (NUMERIC_IS_SPECIAL(num))
{
if (have_error)
{
@@ -3412,9 +4067,14 @@ numeric_int4_opt_error(Numeric num, bool *have_error)
}
else
{
- ereport(ERROR,
- (errcode(ERRCODE_FEATURE_NOT_SUPPORTED),
- errmsg("cannot convert NaN to integer")));
+ if (NUMERIC_IS_NAN(num))
+ ereport(ERROR,
+ (errcode(ERRCODE_FEATURE_NOT_SUPPORTED),
+ errmsg("cannot convert NaN to integer")));
+ else
+ ereport(ERROR,
+ (errcode(ERRCODE_FEATURE_NOT_SUPPORTED),
+ errmsg("cannot convert infinity to integer")));
}
}
@@ -3494,10 +4154,17 @@ numeric_int8(PG_FUNCTION_ARGS)
int64 result;
/* XXX would it be better to return NULL? */
- if (NUMERIC_IS_NAN(num))
- ereport(ERROR,
- (errcode(ERRCODE_FEATURE_NOT_SUPPORTED),
- errmsg("cannot convert NaN to bigint")));
+ if (NUMERIC_IS_SPECIAL(num))
+ {
+ if (NUMERIC_IS_NAN(num))
+ ereport(ERROR,
+ (errcode(ERRCODE_FEATURE_NOT_SUPPORTED),
+ errmsg("cannot convert NaN to bigint")));
+ else
+ ereport(ERROR,
+ (errcode(ERRCODE_FEATURE_NOT_SUPPORTED),
+ errmsg("cannot convert infinity to bigint")));
+ }
/* Convert to variable format and thence to int8 */
init_var_from_num(num, &x);
@@ -3539,10 +4206,17 @@ numeric_int2(PG_FUNCTION_ARGS)
int16 result;
/* XXX would it be better to return NULL? */
- if (NUMERIC_IS_NAN(num))
- ereport(ERROR,
- (errcode(ERRCODE_FEATURE_NOT_SUPPORTED),
- errmsg("cannot convert NaN to smallint")));
+ if (NUMERIC_IS_SPECIAL(num))
+ {
+ if (NUMERIC_IS_NAN(num))
+ ereport(ERROR,
+ (errcode(ERRCODE_FEATURE_NOT_SUPPORTED),
+ errmsg("cannot convert NaN to smallint")));
+ else
+ ereport(ERROR,
+ (errcode(ERRCODE_FEATURE_NOT_SUPPORTED),
+ errmsg("cannot convert infinity to smallint")));
+ }
/* Convert to variable format and thence to int8 */
init_var_from_num(num, &x);
@@ -3577,9 +4251,12 @@ float8_numeric(PG_FUNCTION_ARGS)
PG_RETURN_NUMERIC(make_result(&const_nan));
if (isinf(val))
- ereport(ERROR,
- (errcode(ERRCODE_FEATURE_NOT_SUPPORTED),
- errmsg("cannot convert infinity to numeric")));
+ {
+ if (val < 0)
+ PG_RETURN_NUMERIC(make_result(&const_ninf));
+ else
+ PG_RETURN_NUMERIC(make_result(&const_pinf));
+ }
snprintf(buf, sizeof(buf), "%.*g", DBL_DIG, val);
@@ -3603,8 +4280,15 @@ numeric_float8(PG_FUNCTION_ARGS)
char *tmp;
Datum result;
- if (NUMERIC_IS_NAN(num))
- PG_RETURN_FLOAT8(get_float8_nan());
+ if (NUMERIC_IS_SPECIAL(num))
+ {
+ if (NUMERIC_IS_PINF(num))
+ PG_RETURN_FLOAT8(get_float8_infinity());
+ else if (NUMERIC_IS_NINF(num))
+ PG_RETURN_FLOAT8(-get_float8_infinity());
+ else
+ PG_RETURN_FLOAT8(get_float8_nan());
+ }
tmp = DatumGetCString(DirectFunctionCall1(numeric_out,
NumericGetDatum(num)));
@@ -3628,6 +4312,7 @@ numeric_float8_no_overflow(PG_FUNCTION_ARGS)
Numeric num = PG_GETARG_NUMERIC(0);
double val;
+ /* numeric_to_double_no_overflow will handle infinities */
if (NUMERIC_IS_NAN(num))
PG_RETURN_FLOAT8(get_float8_nan());
@@ -3648,9 +4333,12 @@ float4_numeric(PG_FUNCTION_ARGS)
PG_RETURN_NUMERIC(make_result(&const_nan));
if (isinf(val))
- ereport(ERROR,
- (errcode(ERRCODE_FEATURE_NOT_SUPPORTED),
- errmsg("cannot convert infinity to numeric")));
+ {
+ if (val < 0)
+ PG_RETURN_NUMERIC(make_result(&const_ninf));
+ else
+ PG_RETURN_NUMERIC(make_result(&const_pinf));
+ }
snprintf(buf, sizeof(buf), "%.*g", FLT_DIG, val);
@@ -3674,8 +4362,15 @@ numeric_float4(PG_FUNCTION_ARGS)
char *tmp;
Datum result;
- if (NUMERIC_IS_NAN(num))
- PG_RETURN_FLOAT4(get_float4_nan());
+ if (NUMERIC_IS_SPECIAL(num))
+ {
+ if (NUMERIC_IS_PINF(num))
+ PG_RETURN_FLOAT4(get_float4_infinity());
+ else if (NUMERIC_IS_NINF(num))
+ PG_RETURN_FLOAT4(-get_float4_infinity());
+ else
+ PG_RETURN_FLOAT4(get_float4_nan());
+ }
tmp = DatumGetCString(DirectFunctionCall1(numeric_out,
NumericGetDatum(num)));
@@ -3711,9 +4406,15 @@ typedef struct NumericAggState
NumericSumAccum sumX2; /* sum of squares of processed numbers */
int maxScale; /* maximum scale seen so far */
int64 maxScaleCount; /* number of values seen with maximum scale */
- int64 NaNcount; /* count of NaN values (not included in N!) */
+ /* These counts are *not* included in N! Use NA_TOTAL_COUNT() as needed */
+ int64 NaNcount; /* count of NaN values */
+ int64 pInfcount; /* count of +Inf values */
+ int64 nInfcount; /* count of -Inf values */
} NumericAggState;
+#define NA_TOTAL_COUNT(na) \
+ ((na)->N + (na)->NaNcount + (na)->pInfcount + (na)->nInfcount)
+
/*
* Prepare state data for a numeric aggregate function that needs to compute
* sum, count and optionally sum of squares of the input.
@@ -3765,10 +4466,15 @@ do_numeric_accum(NumericAggState *state, Numeric newval)
NumericVar X2;
MemoryContext old_context;
- /* Count NaN inputs separately from all else */
- if (NUMERIC_IS_NAN(newval))
+ /* Count NaN/infinity inputs separately from all else */
+ if (NUMERIC_IS_SPECIAL(newval))
{
- state->NaNcount++;
+ if (NUMERIC_IS_PINF(newval))
+ state->pInfcount++;
+ else if (NUMERIC_IS_NINF(newval))
+ state->nInfcount++;
+ else
+ state->NaNcount++;
return;
}
@@ -3830,10 +4536,15 @@ do_numeric_discard(NumericAggState *state, Numeric newval)
NumericVar X2;
MemoryContext old_context;
- /* Count NaN inputs separately from all else */
- if (NUMERIC_IS_NAN(newval))
+ /* Count NaN/infinity inputs separately from all else */
+ if (NUMERIC_IS_SPECIAL(newval))
{
- state->NaNcount--;
+ if (NUMERIC_IS_PINF(newval))
+ state->pInfcount--;
+ else if (NUMERIC_IS_NINF(newval))
+ state->nInfcount--;
+ else
+ state->NaNcount--;
return true;
}
@@ -3956,6 +4667,8 @@ numeric_combine(PG_FUNCTION_ARGS)
state1 = makeNumericAggStateCurrentContext(true);
state1->N = state2->N;
state1->NaNcount = state2->NaNcount;
+ state1->pInfcount = state2->pInfcount;
+ state1->nInfcount = state2->nInfcount;
state1->maxScale = state2->maxScale;
state1->maxScaleCount = state2->maxScaleCount;
@@ -3969,6 +4682,8 @@ numeric_combine(PG_FUNCTION_ARGS)
state1->N += state2->N;
state1->NaNcount += state2->NaNcount;
+ state1->pInfcount += state2->pInfcount;
+ state1->nInfcount += state2->nInfcount;
if (state2->N > 0)
{
@@ -4044,6 +4759,8 @@ numeric_avg_combine(PG_FUNCTION_ARGS)
state1 = makeNumericAggStateCurrentContext(false);
state1->N = state2->N;
state1->NaNcount = state2->NaNcount;
+ state1->pInfcount = state2->pInfcount;
+ state1->nInfcount = state2->nInfcount;
state1->maxScale = state2->maxScale;
state1->maxScaleCount = state2->maxScaleCount;
@@ -4056,6 +4773,8 @@ numeric_avg_combine(PG_FUNCTION_ARGS)
state1->N += state2->N;
state1->NaNcount += state2->NaNcount;
+ state1->pInfcount += state2->pInfcount;
+ state1->nInfcount += state2->nInfcount;
if (state2->N > 0)
{
@@ -4134,6 +4853,12 @@ numeric_avg_serialize(PG_FUNCTION_ARGS)
/* NaNcount */
pq_sendint64(&buf, state->NaNcount);
+ /* pInfcount */
+ pq_sendint64(&buf, state->pInfcount);
+
+ /* nInfcount */
+ pq_sendint64(&buf, state->nInfcount);
+
result = pq_endtypsend(&buf);
PG_RETURN_BYTEA_P(result);
@@ -4188,6 +4913,12 @@ numeric_avg_deserialize(PG_FUNCTION_ARGS)
/* NaNcount */
result->NaNcount = pq_getmsgint64(&buf);
+ /* pInfcount */
+ result->pInfcount = pq_getmsgint64(&buf);
+
+ /* nInfcount */
+ result->nInfcount = pq_getmsgint64(&buf);
+
pq_getmsgend(&buf);
pfree(buf.data);
@@ -4256,6 +4987,12 @@ numeric_serialize(PG_FUNCTION_ARGS)
/* NaNcount */
pq_sendint64(&buf, state->NaNcount);
+ /* pInfcount */
+ pq_sendint64(&buf, state->pInfcount);
+
+ /* nInfcount */
+ pq_sendint64(&buf, state->nInfcount);
+
result = pq_endtypsend(&buf);
PG_RETURN_BYTEA_P(result);
@@ -4319,6 +5056,12 @@ numeric_deserialize(PG_FUNCTION_ARGS)
/* NaNcount */
result->NaNcount = pq_getmsgint64(&buf);
+ /* pInfcount */
+ result->pInfcount = pq_getmsgint64(&buf);
+
+ /* nInfcount */
+ result->nInfcount = pq_getmsgint64(&buf);
+
pq_getmsgend(&buf);
pfree(buf.data);
@@ -5111,12 +5854,20 @@ numeric_avg(PG_FUNCTION_ARGS)
state = PG_ARGISNULL(0) ? NULL : (NumericAggState *) PG_GETARG_POINTER(0);
/* If there were no non-null inputs, return NULL */
- if (state == NULL || (state->N + state->NaNcount) == 0)
+ if (state == NULL || NA_TOTAL_COUNT(state) == 0)
PG_RETURN_NULL();
if (state->NaNcount > 0) /* there was at least one NaN input */
PG_RETURN_NUMERIC(make_result(&const_nan));
+ /* adding plus and minus infinities gives NaN */
+ if (state->pInfcount > 0 && state->nInfcount > 0)
+ PG_RETURN_NUMERIC(make_result(&const_nan));
+ if (state->pInfcount > 0)
+ PG_RETURN_NUMERIC(make_result(&const_pinf));
+ if (state->nInfcount > 0)
+ PG_RETURN_NUMERIC(make_result(&const_ninf));
+
N_datum = DirectFunctionCall1(int8_numeric, Int64GetDatum(state->N));
init_var(&sumX_var);
@@ -5137,12 +5888,20 @@ numeric_sum(PG_FUNCTION_ARGS)
state = PG_ARGISNULL(0) ? NULL : (NumericAggState *) PG_GETARG_POINTER(0);
/* If there were no non-null inputs, return NULL */
- if (state == NULL || (state->N + state->NaNcount) == 0)
+ if (state == NULL || NA_TOTAL_COUNT(state) == 0)
PG_RETURN_NULL();
if (state->NaNcount > 0) /* there was at least one NaN input */
PG_RETURN_NUMERIC(make_result(&const_nan));
+ /* adding plus and minus infinities gives NaN */
+ if (state->pInfcount > 0 && state->nInfcount > 0)
+ PG_RETURN_NUMERIC(make_result(&const_nan));
+ if (state->pInfcount > 0)
+ PG_RETURN_NUMERIC(make_result(&const_pinf));
+ if (state->nInfcount > 0)
+ PG_RETURN_NUMERIC(make_result(&const_ninf));
+
init_var(&sumX_var);
accum_sum_final(&state->sumX, &sumX_var);
result = make_result(&sumX_var);
@@ -5172,21 +5931,36 @@ numeric_stddev_internal(NumericAggState *state,
vsumX,
vsumX2,
vNminus1;
- const NumericVar *comp;
+ int64 totCount;
int rscale;
- /* Deal with empty input and NaN-input cases */
- if (state == NULL || (state->N + state->NaNcount) == 0)
+ /*
+ * Sample stddev and variance are undefined when N <= 1; population stddev
+ * is undefined when N == 0. Return NULL in either case (note that NaNs
+ * and infinities count as normal inputs for this purpose).
+ */
+ if (state == NULL || (totCount = NA_TOTAL_COUNT(state)) == 0)
+ {
+ *is_null = true;
+ return NULL;
+ }
+
+ if (sample && totCount <= 1)
{
*is_null = true;
return NULL;
}
+ /*
+ * Deal with NaN and infinity cases. By analogy to the behavior of the
+ * float8 functions, any infinity input produces NaN output.
+ */
*is_null = false;
- if (state->NaNcount > 0)
+ if (state->NaNcount > 0 || state->pInfcount > 0 || state->nInfcount > 0)
return make_result(&const_nan);
+ /* OK, normal calculation applies */
init_var(&vN);
init_var(&vsumX);
init_var(&vsumX2);
@@ -5195,21 +5969,6 @@ numeric_stddev_internal(NumericAggState *state,
accum_sum_final(&(state->sumX), &vsumX);
accum_sum_final(&(state->sumX2), &vsumX2);
- /*
- * Sample stddev and variance are undefined when N <= 1; population stddev
- * is undefined when N == 0. Return NULL in either case.
- */
- if (sample)
- comp = &const_one;
- else
- comp = &const_zero;
-
- if (cmp_var(&vN, comp) <= 0)
- {
- *is_null = true;
- return NULL;
- }
-
init_var(&vNminus1);
sub_var(&vN, &const_one, &vNminus1);
@@ -5841,6 +6600,12 @@ dump_numeric(const char *str, Numeric num)
case NUMERIC_NAN:
printf("NaN");
break;
+ case NUMERIC_PINF:
+ printf("Infinity");
+ break;
+ case NUMERIC_NINF:
+ printf("-Infinity");
+ break;
default:
printf("SIGN=0x%x", NUMERIC_SIGN(num));
break;
@@ -5872,6 +6637,12 @@ dump_var(const char *str, NumericVar *var)
case NUMERIC_NAN:
printf("NaN");
break;
+ case NUMERIC_PINF:
+ printf("Infinity");
+ break;
+ case NUMERIC_NINF:
+ printf("-Infinity");
+ break;
default:
printf("SIGN=0x%x", var->sign);
break;
@@ -6426,6 +7197,19 @@ get_str_from_var_sci(const NumericVar *var, int rscale)
}
+/*
+ * duplicate_numeric() - copy a packed-format Numeric
+ */
+static Numeric
+duplicate_numeric(Numeric num)
+{
+ Numeric res;
+
+ res = (Numeric) palloc(VARSIZE(num));
+ memcpy(res, num, VARSIZE(num));
+ return res;
+}
+
/*
* make_result_opt_error() -
*
@@ -6447,12 +7231,22 @@ make_result_opt_error(const NumericVar *var, bool *have_error)
if (have_error)
*have_error = false;
- if (sign == NUMERIC_NAN)
+ if ((sign & NUMERIC_SIGN_MASK) == NUMERIC_SPECIAL)
{
+ /*
+ * Verify valid special value. This could be just an Assert, perhaps,
+ * but it seems worthwhile to expend a few cycles to ensure that we
+ * never write any nonzero reserved bits to disk.
+ */
+ if (!(sign == NUMERIC_NAN ||
+ sign == NUMERIC_PINF ||
+ sign == NUMERIC_NINF))
+ elog(ERROR, "invalid numeric sign value 0x%x", sign);
+
result = (Numeric) palloc(NUMERIC_HDRSZ_SHORT);
SET_VARSIZE(result, NUMERIC_HDRSZ_SHORT);
- result->choice.n_header = NUMERIC_NAN;
+ result->choice.n_header = sign;
/* the header word is all we need */
dump_numeric("make_result()", result);
@@ -6861,6 +7655,9 @@ int128_to_numericvar(int128 val, NumericVar *var)
/*
* Convert numeric to float8; if out of range, return +/- HUGE_VAL
+ *
+ * Note the caller must already have dealt with NaN, but we can
+ * handle infinities here.
*/
static double
numeric_to_double_no_overflow(Numeric num)
@@ -6869,6 +7666,15 @@ numeric_to_double_no_overflow(Numeric num)
double val;
char *endptr;
+ if (NUMERIC_IS_SPECIAL(num))
+ {
+ Assert(!NUMERIC_IS_NAN(num));
+ if (NUMERIC_IS_PINF(num))
+ return HUGE_VAL;
+ else
+ return -HUGE_VAL;
+ }
+
tmp = DatumGetCString(DirectFunctionCall1(numeric_out,
NumericGetDatum(num)));
@@ -6972,6 +7778,28 @@ cmp_var_common(const NumericDigit *var1digits, int var1ndigits,
var1digits, var1ndigits, var1weight);
}
+/*
+ * Test whether a Numeric value is integral
+ */
+static bool
+numeric_is_integral(Numeric num)
+{
+ NumericVar arg;
+
+ /* Reject NaN, but infinities are considered integral */
+ if (NUMERIC_IS_SPECIAL(num))
+ {
+ if (NUMERIC_IS_NAN(num))
+ return false;
+ return true;
+ }
+
+ /* Integral if there are no digits to the right of the decimal point */
+ init_var_from_num(num, &arg);
+
+ return (arg.ndigits == 0 || arg.ndigits <= arg.weight + 1);
+}
+
/*
* add_var() -
diff --git a/src/include/utils/numeric.h b/src/include/utils/numeric.h
index 0604cb65ed..0b7d4ba3c4 100644
--- a/src/include/utils/numeric.h
+++ b/src/include/utils/numeric.h
@@ -57,6 +57,7 @@ typedef struct NumericData *Numeric;
* Utility functions in numeric.c
*/
extern bool numeric_is_nan(Numeric num);
+extern bool numeric_is_inf(Numeric num);
int32 numeric_maximum_size(int32 typmod);
extern char *numeric_out_sci(Numeric num, int scale);
extern char *numeric_normalize(Numeric num);
diff --git a/src/test/regress/expected/aggregates.out b/src/test/regress/expected/aggregates.out
index d659013e41..ea6f6f1e22 100644
--- a/src/test/regress/expected/aggregates.out
+++ b/src/test/regress/expected/aggregates.out
@@ -201,32 +201,74 @@ select avg('NaN'::numeric) from generate_series(1,3);
(1 row)
-- verify correct results for infinite inputs
-SELECT avg(x::float8), var_pop(x::float8)
+SELECT sum(x::float8), avg(x::float8), var_pop(x::float8)
FROM (VALUES ('1'), ('infinity')) v(x);
- avg | var_pop
-----------+---------
- Infinity | NaN
+ sum | avg | var_pop
+----------+----------+---------
+ Infinity | Infinity | NaN
(1 row)
-SELECT avg(x::float8), var_pop(x::float8)
+SELECT sum(x::float8), avg(x::float8), var_pop(x::float8)
FROM (VALUES ('infinity'), ('1')) v(x);
- avg | var_pop
-----------+---------
- Infinity | NaN
+ sum | avg | var_pop
+----------+----------+---------
+ Infinity | Infinity | NaN
(1 row)
-SELECT avg(x::float8), var_pop(x::float8)
+SELECT sum(x::float8), avg(x::float8), var_pop(x::float8)
FROM (VALUES ('infinity'), ('infinity')) v(x);
- avg | var_pop
-----------+---------
- Infinity | NaN
+ sum | avg | var_pop
+----------+----------+---------
+ Infinity | Infinity | NaN
(1 row)
-SELECT avg(x::float8), var_pop(x::float8)
+SELECT sum(x::float8), avg(x::float8), var_pop(x::float8)
+FROM (VALUES ('-infinity'), ('infinity')) v(x);
+ sum | avg | var_pop
+-----+-----+---------
+ NaN | NaN | NaN
+(1 row)
+
+SELECT sum(x::float8), avg(x::float8), var_pop(x::float8)
+FROM (VALUES ('-infinity'), ('-infinity')) v(x);
+ sum | avg | var_pop
+-----------+-----------+---------
+ -Infinity | -Infinity | NaN
+(1 row)
+
+SELECT sum(x::numeric), avg(x::numeric), var_pop(x::numeric)
+FROM (VALUES ('1'), ('infinity')) v(x);
+ sum | avg | var_pop
+----------+----------+---------
+ Infinity | Infinity | NaN
+(1 row)
+
+SELECT sum(x::numeric), avg(x::numeric), var_pop(x::numeric)
+FROM (VALUES ('infinity'), ('1')) v(x);
+ sum | avg | var_pop
+----------+----------+---------
+ Infinity | Infinity | NaN
+(1 row)
+
+SELECT sum(x::numeric), avg(x::numeric), var_pop(x::numeric)
+FROM (VALUES ('infinity'), ('infinity')) v(x);
+ sum | avg | var_pop
+----------+----------+---------
+ Infinity | Infinity | NaN
+(1 row)
+
+SELECT sum(x::numeric), avg(x::numeric), var_pop(x::numeric)
FROM (VALUES ('-infinity'), ('infinity')) v(x);
- avg | var_pop
------+---------
- NaN | NaN
+ sum | avg | var_pop
+-----+-----+---------
+ NaN | NaN | NaN
+(1 row)
+
+SELECT sum(x::numeric), avg(x::numeric), var_pop(x::numeric)
+FROM (VALUES ('-infinity'), ('-infinity')) v(x);
+ sum | avg | var_pop
+-----------+-----------+---------
+ -Infinity | -Infinity | NaN
(1 row)
-- test accuracy with a large input offset
diff --git a/src/test/regress/expected/numeric.out b/src/test/regress/expected/numeric.out
index c7fe63d037..2b97ff5a21 100644
--- a/src/test/regress/expected/numeric.out
+++ b/src/test/regress/expected/numeric.out
@@ -660,6 +660,429 @@ SELECT t1.id1, t1.result, t2.expected
-----+--------+----------
(0 rows)
+-- ******************************
+-- * Check behavior with Inf and NaN inputs. It's easiest to handle these
+-- * separately from the num_data framework used above, because some input
+-- * combinations will throw errors.
+-- ******************************
+WITH v(x) AS
+ (VALUES('0'::numeric),('1'),('-1'),('4.2'),('inf'),('-inf'),('nan'))
+SELECT x1, x2,
+ x1 + x2 AS sum,
+ x1 - x2 AS diff,
+ x1 * x2 AS prod
+FROM v AS v1(x1), v AS v2(x2);
+ x1 | x2 | sum | diff | prod
+-----------+-----------+-----------+-----------+-----------
+ 0 | 0 | 0 | 0 | 0
+ 0 | 1 | 1 | -1 | 0
+ 0 | -1 | -1 | 1 | 0
+ 0 | 4.2 | 4.2 | -4.2 | 0.0
+ 0 | Infinity | Infinity | -Infinity | NaN
+ 0 | -Infinity | -Infinity | Infinity | NaN
+ 0 | NaN | NaN | NaN | NaN
+ 1 | 0 | 1 | 1 | 0
+ 1 | 1 | 2 | 0 | 1
+ 1 | -1 | 0 | 2 | -1
+ 1 | 4.2 | 5.2 | -3.2 | 4.2
+ 1 | Infinity | Infinity | -Infinity | Infinity
+ 1 | -Infinity | -Infinity | Infinity | -Infinity
+ 1 | NaN | NaN | NaN | NaN
+ -1 | 0 | -1 | -1 | 0
+ -1 | 1 | 0 | -2 | -1
+ -1 | -1 | -2 | 0 | 1
+ -1 | 4.2 | 3.2 | -5.2 | -4.2
+ -1 | Infinity | Infinity | -Infinity | -Infinity
+ -1 | -Infinity | -Infinity | Infinity | Infinity
+ -1 | NaN | NaN | NaN | NaN
+ 4.2 | 0 | 4.2 | 4.2 | 0.0
+ 4.2 | 1 | 5.2 | 3.2 | 4.2
+ 4.2 | -1 | 3.2 | 5.2 | -4.2
+ 4.2 | 4.2 | 8.4 | 0.0 | 17.64
+ 4.2 | Infinity | Infinity | -Infinity | Infinity
+ 4.2 | -Infinity | -Infinity | Infinity | -Infinity
+ 4.2 | NaN | NaN | NaN | NaN
+ Infinity | 0 | Infinity | Infinity | NaN
+ Infinity | 1 | Infinity | Infinity | Infinity
+ Infinity | -1 | Infinity | Infinity | -Infinity
+ Infinity | 4.2 | Infinity | Infinity | Infinity
+ Infinity | Infinity | Infinity | NaN | Infinity
+ Infinity | -Infinity | NaN | Infinity | -Infinity
+ Infinity | NaN | NaN | NaN | NaN
+ -Infinity | 0 | -Infinity | -Infinity | NaN
+ -Infinity | 1 | -Infinity | -Infinity | -Infinity
+ -Infinity | -1 | -Infinity | -Infinity | Infinity
+ -Infinity | 4.2 | -Infinity | -Infinity | -Infinity
+ -Infinity | Infinity | NaN | -Infinity | -Infinity
+ -Infinity | -Infinity | -Infinity | NaN | Infinity
+ -Infinity | NaN | NaN | NaN | NaN
+ NaN | 0 | NaN | NaN | NaN
+ NaN | 1 | NaN | NaN | NaN
+ NaN | -1 | NaN | NaN | NaN
+ NaN | 4.2 | NaN | NaN | NaN
+ NaN | Infinity | NaN | NaN | NaN
+ NaN | -Infinity | NaN | NaN | NaN
+ NaN | NaN | NaN | NaN | NaN
+(49 rows)
+
+WITH v(x) AS
+ (VALUES('0'::numeric),('1'),('-1'),('4.2'),('inf'),('-inf'),('nan'))
+SELECT x1, x2,
+ x1 / x2 AS quot,
+ x1 % x2 AS mod,
+ div(x1, x2) AS div
+FROM v AS v1(x1), v AS v2(x2) WHERE x2 != 0;
+ x1 | x2 | quot | mod | div
+-----------+-----------+-------------------------+------+-----------
+ 0 | 1 | 0.00000000000000000000 | 0 | 0
+ 1 | 1 | 1.00000000000000000000 | 0 | 1
+ -1 | 1 | -1.00000000000000000000 | 0 | -1
+ 4.2 | 1 | 4.2000000000000000 | 0.2 | 4
+ Infinity | 1 | Infinity | NaN | Infinity
+ -Infinity | 1 | -Infinity | NaN | -Infinity
+ NaN | 1 | NaN | NaN | NaN
+ 0 | -1 | 0.00000000000000000000 | 0 | 0
+ 1 | -1 | -1.00000000000000000000 | 0 | -1
+ -1 | -1 | 1.00000000000000000000 | 0 | 1
+ 4.2 | -1 | -4.2000000000000000 | 0.2 | -4
+ Infinity | -1 | -Infinity | NaN | -Infinity
+ -Infinity | -1 | Infinity | NaN | Infinity
+ NaN | -1 | NaN | NaN | NaN
+ 0 | 4.2 | 0.00000000000000000000 | 0.0 | 0
+ 1 | 4.2 | 0.23809523809523809524 | 1.0 | 0
+ -1 | 4.2 | -0.23809523809523809524 | -1.0 | 0
+ 4.2 | 4.2 | 1.00000000000000000000 | 0.0 | 1
+ Infinity | 4.2 | Infinity | NaN | Infinity
+ -Infinity | 4.2 | -Infinity | NaN | -Infinity
+ NaN | 4.2 | NaN | NaN | NaN
+ 0 | Infinity | 0 | 0 | 0
+ 1 | Infinity | 0 | 1 | 0
+ -1 | Infinity | 0 | -1 | 0
+ 4.2 | Infinity | 0 | 4.2 | 0
+ Infinity | Infinity | NaN | NaN | NaN
+ -Infinity | Infinity | NaN | NaN | NaN
+ NaN | Infinity | NaN | NaN | NaN
+ 0 | -Infinity | 0 | 0 | 0
+ 1 | -Infinity | 0 | 1 | 0
+ -1 | -Infinity | 0 | -1 | 0
+ 4.2 | -Infinity | 0 | 4.2 | 0
+ Infinity | -Infinity | NaN | NaN | NaN
+ -Infinity | -Infinity | NaN | NaN | NaN
+ NaN | -Infinity | NaN | NaN | NaN
+ 0 | NaN | NaN | NaN | NaN
+ 1 | NaN | NaN | NaN | NaN
+ -1 | NaN | NaN | NaN | NaN
+ 4.2 | NaN | NaN | NaN | NaN
+ Infinity | NaN | NaN | NaN | NaN
+ -Infinity | NaN | NaN | NaN | NaN
+ NaN | NaN | NaN | NaN | NaN
+(42 rows)
+
+SELECT 'inf'::numeric / '0';
+ERROR: division by zero
+SELECT '-inf'::numeric / '0';
+ERROR: division by zero
+SELECT 'nan'::numeric / '0';
+ ?column?
+----------
+ NaN
+(1 row)
+
+SELECT '0'::numeric / '0';
+ERROR: division by zero
+SELECT 'inf'::numeric % '0';
+ERROR: division by zero
+SELECT '-inf'::numeric % '0';
+ERROR: division by zero
+SELECT 'nan'::numeric % '0';
+ ?column?
+----------
+ NaN
+(1 row)
+
+SELECT '0'::numeric % '0';
+ERROR: division by zero
+SELECT div('inf'::numeric, '0');
+ERROR: division by zero
+SELECT div('-inf'::numeric, '0');
+ERROR: division by zero
+SELECT div('nan'::numeric, '0');
+ div
+-----
+ NaN
+(1 row)
+
+SELECT div('0'::numeric, '0');
+ERROR: division by zero
+WITH v(x) AS
+ (VALUES('0'::numeric),('1'),('-1'),('4.2'),('-7.777'),('inf'),('-inf'),('nan'))
+SELECT x, -x as minusx, abs(x), floor(x), ceil(x), sign(x), numeric_inc(x) as inc
+FROM v;
+ x | minusx | abs | floor | ceil | sign | inc
+-----------+-----------+----------+-----------+-----------+------+-----------
+ 0 | 0 | 0 | 0 | 0 | 0 | 1
+ 1 | -1 | 1 | 1 | 1 | 1 | 2
+ -1 | 1 | 1 | -1 | -1 | -1 | 0
+ 4.2 | -4.2 | 4.2 | 4 | 5 | 1 | 5.2
+ -7.777 | 7.777 | 7.777 | -8 | -7 | -1 | -6.777
+ Infinity | -Infinity | Infinity | Infinity | Infinity | 1 | Infinity
+ -Infinity | Infinity | Infinity | -Infinity | -Infinity | -1 | -Infinity
+ NaN | NaN | NaN | NaN | NaN | NaN | NaN
+(8 rows)
+
+WITH v(x) AS
+ (VALUES('0'::numeric),('1'),('-1'),('4.2'),('-7.777'),('inf'),('-inf'),('nan'))
+SELECT x, round(x), round(x,1) as round1, trunc(x), trunc(x,1) as trunc1
+FROM v;
+ x | round | round1 | trunc | trunc1
+-----------+-----------+-----------+-----------+-----------
+ 0 | 0 | 0.0 | 0 | 0.0
+ 1 | 1 | 1.0 | 1 | 1.0
+ -1 | -1 | -1.0 | -1 | -1.0
+ 4.2 | 4 | 4.2 | 4 | 4.2
+ -7.777 | -8 | -7.8 | -7 | -7.7
+ Infinity | Infinity | Infinity | Infinity | Infinity
+ -Infinity | -Infinity | -Infinity | -Infinity | -Infinity
+ NaN | NaN | NaN | NaN | NaN
+(8 rows)
+
+WITH v(x) AS
+ (VALUES('0'::numeric),('1'),('-1'),('4.2'),('-7.777'),
+ ('inf'),('-inf'),('nan'),
+ ('inf'),('-inf'),('nan'))
+SELECT x
+FROM v ORDER BY x;
+ x
+-----------
+ -Infinity
+ -Infinity
+ -7.777
+ -1
+ 0
+ 1
+ 4.2
+ Infinity
+ Infinity
+ NaN
+ NaN
+(11 rows)
+
+WITH v(x) AS
+ (VALUES('0'::numeric),('1'),('4.2'),('inf'),('nan'))
+SELECT x, sqrt(x)
+FROM v;
+ x | sqrt
+----------+-------------------
+ 0 | 0.000000000000000
+ 1 | 1.000000000000000
+ 4.2 | 2.049390153191920
+ Infinity | Infinity
+ NaN | NaN
+(5 rows)
+
+SELECT sqrt('-1'::numeric);
+ERROR: cannot take square root of a negative number
+SELECT sqrt('-inf'::numeric);
+ERROR: cannot take square root of a negative number
+WITH v(x) AS
+ (VALUES('1'::numeric),('4.2'),('inf'),('nan'))
+SELECT x,
+ log(x),
+ log10(x),
+ ln(x)
+FROM v;
+ x | log | log10 | ln
+----------+--------------------+--------------------+--------------------
+ 1 | 0.0000000000000000 | 0.0000000000000000 | 0.0000000000000000
+ 4.2 | 0.6232492903979005 | 0.6232492903979005 | 1.4350845252893226
+ Infinity | Infinity | Infinity | Infinity
+ NaN | NaN | NaN | NaN
+(4 rows)
+
+SELECT ln('0'::numeric);
+ERROR: cannot take logarithm of zero
+SELECT ln('-1'::numeric);
+ERROR: cannot take logarithm of a negative number
+SELECT ln('-inf'::numeric);
+ERROR: cannot take logarithm of a negative number
+WITH v(x) AS
+ (VALUES('2'::numeric),('4.2'),('inf'),('nan'))
+SELECT x1, x2,
+ log(x1, x2)
+FROM v AS v1(x1), v AS v2(x2);
+ x1 | x2 | log
+----------+----------+--------------------
+ 2 | 2 | 1.0000000000000000
+ 2 | 4.2 | 2.0703893278913979
+ 2 | Infinity | Infinity
+ 2 | NaN | NaN
+ 4.2 | 2 | 0.4830009440873890
+ 4.2 | 4.2 | 1.0000000000000000
+ 4.2 | Infinity | Infinity
+ 4.2 | NaN | NaN
+ Infinity | 2 | 0
+ Infinity | 4.2 | 0
+ Infinity | Infinity | NaN
+ Infinity | NaN | NaN
+ NaN | 2 | NaN
+ NaN | 4.2 | NaN
+ NaN | Infinity | NaN
+ NaN | NaN | NaN
+(16 rows)
+
+SELECT log('0'::numeric, '10');
+ERROR: cannot take logarithm of zero
+SELECT log('10'::numeric, '0');
+ERROR: cannot take logarithm of zero
+SELECT log('-inf'::numeric, '10');
+ERROR: cannot take logarithm of a negative number
+SELECT log('10'::numeric, '-inf');
+ERROR: cannot take logarithm of a negative number
+SELECT log('inf'::numeric, '0');
+ERROR: cannot take logarithm of zero
+SELECT log('inf'::numeric, '-inf');
+ERROR: cannot take logarithm of a negative number
+SELECT log('-inf'::numeric, 'inf');
+ERROR: cannot take logarithm of a negative number
+WITH v(x) AS
+ (VALUES('0'::numeric),('1'),('2'),('4.2'),('inf'),('nan'))
+SELECT x1, x2,
+ power(x1, x2)
+FROM v AS v1(x1), v AS v2(x2) WHERE x1 != 0 OR x2 >= 0;
+ x1 | x2 | power
+----------+----------+---------------------
+ 0 | 0 | 1.0000000000000000
+ 0 | 1 | 0.0000000000000000
+ 0 | 2 | 0.0000000000000000
+ 0 | 4.2 | 0.0000000000000000
+ 0 | Infinity | 0
+ 0 | NaN | NaN
+ 1 | 0 | 1.0000000000000000
+ 1 | 1 | 1.0000000000000000
+ 1 | 2 | 1.0000000000000000
+ 1 | 4.2 | 1.0000000000000000
+ 1 | Infinity | 1
+ 1 | NaN | 1
+ 2 | 0 | 1.0000000000000000
+ 2 | 1 | 2.0000000000000000
+ 2 | 2 | 4.0000000000000000
+ 2 | 4.2 | 18.379173679952560
+ 2 | Infinity | Infinity
+ 2 | NaN | NaN
+ 4.2 | 0 | 1.0000000000000000
+ 4.2 | 1 | 4.2000000000000000
+ 4.2 | 2 | 17.6400000000000000
+ 4.2 | 4.2 | 414.61691860129675
+ 4.2 | Infinity | Infinity
+ 4.2 | NaN | NaN
+ Infinity | 0 | 1
+ Infinity | 1 | Infinity
+ Infinity | 2 | Infinity
+ Infinity | 4.2 | Infinity
+ Infinity | Infinity | Infinity
+ Infinity | NaN | NaN
+ NaN | 0 | 1
+ NaN | 1 | NaN
+ NaN | 2 | NaN
+ NaN | 4.2 | NaN
+ NaN | Infinity | NaN
+ NaN | NaN | NaN
+(36 rows)
+
+SELECT power('0'::numeric, '-1');
+ERROR: zero raised to a negative power is undefined
+SELECT power('0'::numeric, '-inf');
+ERROR: zero raised to a negative power is undefined
+SELECT power('-1'::numeric, 'inf');
+ power
+-------
+ 1
+(1 row)
+
+SELECT power('-2'::numeric, '3');
+ power
+---------------------
+ -8.0000000000000000
+(1 row)
+
+SELECT power('-2'::numeric, '3.3');
+ERROR: a negative number raised to a non-integer power yields a complex result
+SELECT power('-2'::numeric, '-1');
+ power
+---------------------
+ -0.5000000000000000
+(1 row)
+
+SELECT power('-2'::numeric, '-1.5');
+ERROR: a negative number raised to a non-integer power yields a complex result
+SELECT power('-2'::numeric, 'inf');
+ power
+----------
+ Infinity
+(1 row)
+
+SELECT power('-2'::numeric, '-inf');
+ power
+-------
+ 0
+(1 row)
+
+SELECT power('inf'::numeric, '-2');
+ power
+-------
+ 0
+(1 row)
+
+SELECT power('inf'::numeric, '-inf');
+ power
+-------
+ 0
+(1 row)
+
+SELECT power('-inf'::numeric, '2');
+ power
+----------
+ Infinity
+(1 row)
+
+SELECT power('-inf'::numeric, '3');
+ power
+-----------
+ -Infinity
+(1 row)
+
+SELECT power('-inf'::numeric, '4.5');
+ERROR: a negative number raised to a non-integer power yields a complex result
+SELECT power('-inf'::numeric, '-2');
+ power
+-------
+ 0
+(1 row)
+
+SELECT power('-inf'::numeric, '-3');
+ power
+-------
+ 0
+(1 row)
+
+SELECT power('-inf'::numeric, '0');
+ power
+-------
+ 1
+(1 row)
+
+SELECT power('-inf'::numeric, 'inf');
+ power
+----------
+ Infinity
+(1 row)
+
+SELECT power('-inf'::numeric, '-inf');
+ power
+-------
+ 0
+(1 row)
+
-- ******************************
-- * miscellaneous checks for things that have been broken in the past...
-- ******************************
@@ -716,9 +1139,35 @@ SELECT 'NaN'::float8::numeric;
(1 row)
SELECT 'Infinity'::float8::numeric;
-ERROR: cannot convert infinity to numeric
+ numeric
+----------
+ Infinity
+(1 row)
+
SELECT '-Infinity'::float8::numeric;
-ERROR: cannot convert infinity to numeric
+ numeric
+-----------
+ -Infinity
+(1 row)
+
+SELECT 'NaN'::numeric::float8;
+ float8
+--------
+ NaN
+(1 row)
+
+SELECT 'Infinity'::numeric::float8;
+ float8
+----------
+ Infinity
+(1 row)
+
+SELECT '-Infinity'::numeric::float8;
+ float8
+-----------
+ -Infinity
+(1 row)
+
SELECT 'NaN'::float4::numeric;
numeric
---------
@@ -726,9 +1175,59 @@ SELECT 'NaN'::float4::numeric;
(1 row)
SELECT 'Infinity'::float4::numeric;
-ERROR: cannot convert infinity to numeric
+ numeric
+----------
+ Infinity
+(1 row)
+
SELECT '-Infinity'::float4::numeric;
-ERROR: cannot convert infinity to numeric
+ numeric
+-----------
+ -Infinity
+(1 row)
+
+SELECT 'NaN'::numeric::float4;
+ float4
+--------
+ NaN
+(1 row)
+
+SELECT 'Infinity'::numeric::float4;
+ float4
+----------
+ Infinity
+(1 row)
+
+SELECT '-Infinity'::numeric::float4;
+ float4
+-----------
+ -Infinity
+(1 row)
+
+SELECT '42'::int2::numeric;
+ numeric
+---------
+ 42
+(1 row)
+
+SELECT 'NaN'::numeric::int2;
+ERROR: cannot convert NaN to smallint
+SELECT 'Infinity'::numeric::int2;
+ERROR: cannot convert infinity to smallint
+SELECT '-Infinity'::numeric::int2;
+ERROR: cannot convert infinity to smallint
+SELECT 'NaN'::numeric::int4;
+ERROR: cannot convert NaN to integer
+SELECT 'Infinity'::numeric::int4;
+ERROR: cannot convert infinity to integer
+SELECT '-Infinity'::numeric::int4;
+ERROR: cannot convert infinity to integer
+SELECT 'NaN'::numeric::int8;
+ERROR: cannot convert NaN to bigint
+SELECT 'Infinity'::numeric::int8;
+ERROR: cannot convert infinity to bigint
+SELECT '-Infinity'::numeric::int8;
+ERROR: cannot convert infinity to bigint
-- Simple check that ceil(), floor(), and round() work correctly
CREATE TABLE ceil_floor_round (a numeric);
INSERT INTO ceil_floor_round VALUES ('-5.5');
@@ -794,6 +1293,12 @@ SELECT width_bucket('NaN', 3.0, 4.0, 888);
ERROR: operand, lower bound, and upper bound cannot be NaN
SELECT width_bucket(0::float8, 'NaN', 4.0::float8, 888);
ERROR: operand, lower bound, and upper bound cannot be NaN
+SELECT width_bucket('inf', 3.0, 4.0, 888);
+ERROR: operand, lower bound, and upper bound cannot be infinity
+SELECT width_bucket(2.0, 3.0, '-inf', 888);
+ERROR: operand, lower bound, and upper bound cannot be infinity
+SELECT width_bucket(0::float8, '-inf', 4.0::float8, 888);
+ERROR: lower and upper bounds must be finite
-- normal operation
CREATE TABLE width_bucket_test (operand_num numeric, operand_f8 float8);
COPY width_bucket_test (operand_num) FROM stdin;
@@ -1199,6 +1704,60 @@ SELECT '' AS to_char_23, to_char(val, '9.999EEEE') FROM num_data;
| -2.493e+07
(10 rows)
+WITH v(val) AS
+ (VALUES('0'::numeric),('-4.2'),('4.2e9'),('1.2e-5'),('inf'),('-inf'),('nan'))
+SELECT val,
+ to_char(val, '9.999EEEE') as numeric,
+ to_char(val::float8, '9.999EEEE') as float8,
+ to_char(val::float4, '9.999EEEE') as float4
+FROM v;
+ val | numeric | float8 | float4
+------------+------------+------------+------------
+ 0 | 0.000e+00 | 0.000e+00 | 0.000e+00
+ -4.2 | -4.200e+00 | -4.200e+00 | -4.200e+00
+ 4200000000 | 4.200e+09 | 4.200e+09 | 4.200e+09
+ 0.000012 | 1.200e-05 | 1.200e-05 | 1.200e-05
+ Infinity | #.####### | #.####### | #.#######
+ -Infinity | #.####### | #.####### | #.#######
+ NaN | #.####### | #.####### | #.#######
+(7 rows)
+
+WITH v(val) AS
+ (VALUES('0'::numeric),('-4.2'),('4.2e9'),('1.2e-5'),('inf'),('-inf'),('nan'))
+SELECT val,
+ to_char(val, 'MI9999999999.99') as numeric,
+ to_char(val::float8, 'MI9999999999.99') as float8,
+ to_char(val::float4, 'MI9999999999.99') as float4
+FROM v;
+ val | numeric | float8 | float4
+------------+----------------+----------------+----------------
+ 0 | .00 | .00 | .00
+ -4.2 | - 4.20 | - 4.20 | - 4.20
+ 4200000000 | 4200000000.00 | 4200000000.00 | 4200000000
+ 0.000012 | .00 | .00 | .00
+ Infinity | Infinity | Infinity | Infinity
+ -Infinity | - Infinity | - Infinity | - Infinity
+ NaN | NaN | NaN | NaN
+(7 rows)
+
+WITH v(val) AS
+ (VALUES('0'::numeric),('-4.2'),('4.2e9'),('1.2e-5'),('inf'),('-inf'),('nan'))
+SELECT val,
+ to_char(val, 'MI99.99') as numeric,
+ to_char(val::float8, 'MI99.99') as float8,
+ to_char(val::float4, 'MI99.99') as float4
+FROM v;
+ val | numeric | float8 | float4
+------------+---------+--------+--------
+ 0 | .00 | .00 | .00
+ -4.2 | - 4.20 | - 4.20 | - 4.20
+ 4200000000 | ##.## | ##.## | ##.
+ 0.000012 | .00 | .00 | .00
+ Infinity | ##.## | ##.## | ##.
+ -Infinity | -##.## | -##.## | -##.
+ NaN | ##.## | ##.## | ##.##
+(7 rows)
+
SELECT '' AS to_char_24, to_char('100'::numeric, 'FM999.9');
to_char_24 | to_char
------------+---------
@@ -1426,6 +1985,12 @@ INSERT INTO num_input_test(n1) VALUES ('555.50');
INSERT INTO num_input_test(n1) VALUES ('-555.50');
INSERT INTO num_input_test(n1) VALUES ('NaN ');
INSERT INTO num_input_test(n1) VALUES (' nan');
+INSERT INTO num_input_test(n1) VALUES (' inf ');
+INSERT INTO num_input_test(n1) VALUES (' +inf ');
+INSERT INTO num_input_test(n1) VALUES (' -inf ');
+INSERT INTO num_input_test(n1) VALUES (' Infinity ');
+INSERT INTO num_input_test(n1) VALUES (' +inFinity ');
+INSERT INTO num_input_test(n1) VALUES (' -INFINITY ');
-- bad inputs
INSERT INTO num_input_test(n1) VALUES (' ');
ERROR: invalid input syntax for type numeric: " "
@@ -1459,17 +2024,27 @@ INSERT INTO num_input_test(n1) VALUES (' N aN ');
ERROR: invalid input syntax for type numeric: " N aN "
LINE 1: INSERT INTO num_input_test(n1) VALUES (' N aN ');
^
+INSERT INTO num_input_test(n1) VALUES ('+ infinity');
+ERROR: invalid input syntax for type numeric: "+ infinity"
+LINE 1: INSERT INTO num_input_test(n1) VALUES ('+ infinity');
+ ^
SELECT * FROM num_input_test;
- n1
----------
- 123
- 3245874
- -93853
- 555.50
- -555.50
- NaN
- NaN
-(7 rows)
+ n1
+-----------
+ 123
+ 3245874
+ -93853
+ 555.50
+ -555.50
+ NaN
+ NaN
+ Infinity
+ Infinity
+ -Infinity
+ Infinity
+ Infinity
+ -Infinity
+(13 rows)
--
-- Test some corner cases for multiplication
@@ -1805,6 +2380,24 @@ select exp(1.0::numeric(71,70));
2.7182818284590452353602874713526624977572470936999595749669676277240766
(1 row)
+select exp('nan'::numeric);
+ exp
+-----
+ NaN
+(1 row)
+
+select exp('inf'::numeric);
+ exp
+----------
+ Infinity
+(1 row)
+
+select exp('-inf'::numeric);
+ exp
+-----
+ 0
+(1 row)
+
-- cases that used to generate inaccurate results
select exp(32.999);
exp
@@ -1876,6 +2469,12 @@ select * from generate_series('nan'::numeric, 100::numeric, 10::numeric);
ERROR: start value cannot be NaN
select * from generate_series(0::numeric, 'nan'::numeric, 10::numeric);
ERROR: stop value cannot be NaN
+select * from generate_series('inf'::numeric, 'inf'::numeric, 10::numeric);
+ERROR: start value cannot be infinity
+select * from generate_series(0::numeric, 'inf'::numeric, 10::numeric);
+ERROR: stop value cannot be infinity
+select * from generate_series(0::numeric, '42'::numeric, '-inf'::numeric);
+ERROR: step size cannot be infinity
-- Checks maximum, output is truncated
select (i / (10::numeric ^ 131071))::numeric(1,0)
from generate_series(6 * (10::numeric ^ 131071),
@@ -2081,6 +2680,12 @@ select scale(numeric 'NaN');
(1 row)
+select scale(numeric 'inf');
+ scale
+-------
+
+(1 row)
+
select scale(NULL::numeric);
scale
-------
@@ -2138,6 +2743,12 @@ select min_scale(numeric 'NaN') is NULL; -- should be true
t
(1 row)
+select min_scale(numeric 'inf') is NULL; -- should be true
+ ?column?
+----------
+ t
+(1 row)
+
select min_scale(0); -- no digits
min_scale
-----------
@@ -2207,6 +2818,12 @@ select trim_scale(numeric 'NaN');
NaN
(1 row)
+select trim_scale(numeric 'inf');
+ trim_scale
+------------
+ Infinity
+(1 row)
+
select trim_scale(1.120);
trim_scale
------------
@@ -2280,16 +2897,23 @@ FROM (VALUES (0::numeric, 0::numeric),
(0::numeric, 46375::numeric),
(433125::numeric, 46375::numeric),
(43312.5::numeric, 4637.5::numeric),
- (4331.250::numeric, 463.75000::numeric)) AS v(a, b);
- a | b | gcd | gcd | gcd | gcd
-----------+-----------+---------+---------+---------+---------
- 0 | 0 | 0 | 0 | 0 | 0
- 0 | NaN | NaN | NaN | NaN | NaN
- 0 | 46375 | 46375 | 46375 | 46375 | 46375
- 433125 | 46375 | 875 | 875 | 875 | 875
- 43312.5 | 4637.5 | 87.5 | 87.5 | 87.5 | 87.5
- 4331.250 | 463.75000 | 8.75000 | 8.75000 | 8.75000 | 8.75000
-(6 rows)
+ (4331.250::numeric, 463.75000::numeric),
+ ('inf', '0'),
+ ('inf', '42'),
+ ('inf', 'inf')
+ ) AS v(a, b);
+ a | b | gcd | gcd | gcd | gcd
+----------+-----------+----------+----------+----------+----------
+ 0 | 0 | 0 | 0 | 0 | 0
+ 0 | NaN | NaN | NaN | NaN | NaN
+ 0 | 46375 | 46375 | 46375 | 46375 | 46375
+ 433125 | 46375 | 875 | 875 | 875 | 875
+ 43312.5 | 4637.5 | 87.5 | 87.5 | 87.5 | 87.5
+ 4331.250 | 463.75000 | 8.75000 | 8.75000 | 8.75000 | 8.75000
+ Infinity | 0 | Infinity | Infinity | Infinity | Infinity
+ Infinity | 42 | 42 | 42 | 42 | 42
+ Infinity | Infinity | Infinity | Infinity | Infinity | Infinity
+(9 rows)
--
-- Tests for LCM()
@@ -2301,7 +2925,11 @@ FROM (VALUES (0::numeric, 0::numeric),
(13272::numeric, 13272::numeric),
(423282::numeric, 13272::numeric),
(42328.2::numeric, 1327.2::numeric),
- (4232.820::numeric, 132.72000::numeric)) AS v(a, b);
+ (4232.820::numeric, 132.72000::numeric),
+ ('inf', '0'),
+ ('inf', '42'),
+ ('inf', 'inf')
+ ) AS v(a, b);
a | b | lcm | lcm | lcm | lcm
----------+-----------+--------------+--------------+--------------+--------------
0 | 0 | 0 | 0 | 0 | 0
@@ -2311,7 +2939,10 @@ FROM (VALUES (0::numeric, 0::numeric),
423282 | 13272 | 11851896 | 11851896 | 11851896 | 11851896
42328.2 | 1327.2 | 1185189.6 | 1185189.6 | 1185189.6 | 1185189.6
4232.820 | 132.72000 | 118518.96000 | 118518.96000 | 118518.96000 | 118518.96000
-(7 rows)
+ Infinity | 0 | 0 | 0 | 0 | 0
+ Infinity | 42 | Infinity | Infinity | Infinity | Infinity
+ Infinity | Infinity | Infinity | Infinity | Infinity | Infinity
+(10 rows)
SELECT lcm(9999 * (10::numeric)^131068 + (10::numeric^131068 - 1), 2); -- overflow
ERROR: value overflows numeric format
diff --git a/src/test/regress/expected/window.out b/src/test/regress/expected/window.out
index d5fd4045f9..2512852a94 100644
--- a/src/test/regress/expected/window.out
+++ b/src/test/regress/expected/window.out
@@ -1872,7 +1872,7 @@ create temp table numerics(
f_numeric numeric
);
insert into numerics values
-(0, '-infinity', '-infinity', '-1000'), -- numeric type lacks infinities
+(0, '-infinity', '-infinity', '-infinity'),
(1, -3, -3, -3),
(2, -1, -1, -1),
(3, 0, 0, 0),
@@ -1880,7 +1880,7 @@ insert into numerics values
(5, 1.12, 1.12, 1.12),
(6, 2, 2, 2),
(7, 100, 100, 100),
-(8, 'infinity', 'infinity', '1000'),
+(8, 'infinity', 'infinity', 'infinity'),
(9, 'NaN', 'NaN', 'NaN');
select id, f_float4, first_value(id) over w, last_value(id) over w
from numerics
@@ -2006,7 +2006,7 @@ window w as (order by f_numeric range between
1 preceding and 1 following);
id | f_numeric | first_value | last_value
----+-----------+-------------+------------
- 0 | -1000 | 0 | 0
+ 0 | -Infinity | 0 | 0
1 | -3 | 1 | 1
2 | -1 | 2 | 3
3 | 0 | 2 | 3
@@ -2014,7 +2014,7 @@ window w as (order by f_numeric range between
5 | 1.12 | 4 | 6
6 | 2 | 4 | 6
7 | 100 | 7 | 7
- 8 | 1000 | 8 | 8
+ 8 | Infinity | 8 | 8
9 | NaN | 9 | 9
(10 rows)
@@ -2024,7 +2024,7 @@ window w as (order by f_numeric range between
1 preceding and 1.1::numeric following);
id | f_numeric | first_value | last_value
----+-----------+-------------+------------
- 0 | -1000 | 0 | 0
+ 0 | -Infinity | 0 | 0
1 | -3 | 1 | 1
2 | -1 | 2 | 3
3 | 0 | 2 | 4
@@ -2032,7 +2032,7 @@ window w as (order by f_numeric range between
5 | 1.12 | 4 | 6
6 | 2 | 4 | 6
7 | 100 | 7 | 7
- 8 | 1000 | 8 | 8
+ 8 | Infinity | 8 | 8
9 | NaN | 9 | 9
(10 rows)
@@ -2044,6 +2044,24 @@ ERROR: RANGE with offset PRECEDING/FOLLOWING is not supported for column type n
LINE 4: 1 preceding and 1.1::float8 following);
^
HINT: Cast the offset value to an appropriate type.
+select id, f_numeric, first_value(id) over w, last_value(id) over w
+from numerics
+window w as (order by f_numeric range between
+ 'inf' preceding and 'inf' following);
+ id | f_numeric | first_value | last_value
+----+-----------+-------------+------------
+ 0 | -Infinity | 0 | 8
+ 1 | -3 | 0 | 8
+ 2 | -1 | 0 | 8
+ 3 | 0 | 0 | 8
+ 4 | 1.1 | 0 | 8
+ 5 | 1.12 | 0 | 8
+ 6 | 2 | 0 | 8
+ 7 | 100 | 0 | 8
+ 8 | Infinity | 0 | 8
+ 9 | NaN | 9 | 9
+(10 rows)
+
select id, f_numeric, first_value(id) over w, last_value(id) over w
from numerics
window w as (order by f_numeric range between
diff --git a/src/test/regress/sql/aggregates.sql b/src/test/regress/sql/aggregates.sql
index 2a066f5a3a..f02ec6ab05 100644
--- a/src/test/regress/sql/aggregates.sql
+++ b/src/test/regress/sql/aggregates.sql
@@ -55,14 +55,26 @@ select sum('NaN'::numeric) from generate_series(1,3);
select avg('NaN'::numeric) from generate_series(1,3);
-- verify correct results for infinite inputs
-SELECT avg(x::float8), var_pop(x::float8)
+SELECT sum(x::float8), avg(x::float8), var_pop(x::float8)
FROM (VALUES ('1'), ('infinity')) v(x);
-SELECT avg(x::float8), var_pop(x::float8)
+SELECT sum(x::float8), avg(x::float8), var_pop(x::float8)
FROM (VALUES ('infinity'), ('1')) v(x);
-SELECT avg(x::float8), var_pop(x::float8)
+SELECT sum(x::float8), avg(x::float8), var_pop(x::float8)
FROM (VALUES ('infinity'), ('infinity')) v(x);
-SELECT avg(x::float8), var_pop(x::float8)
+SELECT sum(x::float8), avg(x::float8), var_pop(x::float8)
+FROM (VALUES ('-infinity'), ('infinity')) v(x);
+SELECT sum(x::float8), avg(x::float8), var_pop(x::float8)
+FROM (VALUES ('-infinity'), ('-infinity')) v(x);
+SELECT sum(x::numeric), avg(x::numeric), var_pop(x::numeric)
+FROM (VALUES ('1'), ('infinity')) v(x);
+SELECT sum(x::numeric), avg(x::numeric), var_pop(x::numeric)
+FROM (VALUES ('infinity'), ('1')) v(x);
+SELECT sum(x::numeric), avg(x::numeric), var_pop(x::numeric)
+FROM (VALUES ('infinity'), ('infinity')) v(x);
+SELECT sum(x::numeric), avg(x::numeric), var_pop(x::numeric)
FROM (VALUES ('-infinity'), ('infinity')) v(x);
+SELECT sum(x::numeric), avg(x::numeric), var_pop(x::numeric)
+FROM (VALUES ('-infinity'), ('-infinity')) v(x);
-- test accuracy with a large input offset
SELECT avg(x::float8), var_pop(x::float8)
diff --git a/src/test/regress/sql/numeric.sql b/src/test/regress/sql/numeric.sql
index 41475a9a24..530d17aa91 100644
--- a/src/test/regress/sql/numeric.sql
+++ b/src/test/regress/sql/numeric.sql
@@ -634,6 +634,118 @@ SELECT t1.id1, t1.result, t2.expected
WHERE t1.id1 = t2.id
AND t1.result != t2.expected;
+-- ******************************
+-- * Check behavior with Inf and NaN inputs. It's easiest to handle these
+-- * separately from the num_data framework used above, because some input
+-- * combinations will throw errors.
+-- ******************************
+
+WITH v(x) AS
+ (VALUES('0'::numeric),('1'),('-1'),('4.2'),('inf'),('-inf'),('nan'))
+SELECT x1, x2,
+ x1 + x2 AS sum,
+ x1 - x2 AS diff,
+ x1 * x2 AS prod
+FROM v AS v1(x1), v AS v2(x2);
+
+WITH v(x) AS
+ (VALUES('0'::numeric),('1'),('-1'),('4.2'),('inf'),('-inf'),('nan'))
+SELECT x1, x2,
+ x1 / x2 AS quot,
+ x1 % x2 AS mod,
+ div(x1, x2) AS div
+FROM v AS v1(x1), v AS v2(x2) WHERE x2 != 0;
+
+SELECT 'inf'::numeric / '0';
+SELECT '-inf'::numeric / '0';
+SELECT 'nan'::numeric / '0';
+SELECT '0'::numeric / '0';
+SELECT 'inf'::numeric % '0';
+SELECT '-inf'::numeric % '0';
+SELECT 'nan'::numeric % '0';
+SELECT '0'::numeric % '0';
+SELECT div('inf'::numeric, '0');
+SELECT div('-inf'::numeric, '0');
+SELECT div('nan'::numeric, '0');
+SELECT div('0'::numeric, '0');
+
+WITH v(x) AS
+ (VALUES('0'::numeric),('1'),('-1'),('4.2'),('-7.777'),('inf'),('-inf'),('nan'))
+SELECT x, -x as minusx, abs(x), floor(x), ceil(x), sign(x), numeric_inc(x) as inc
+FROM v;
+
+WITH v(x) AS
+ (VALUES('0'::numeric),('1'),('-1'),('4.2'),('-7.777'),('inf'),('-inf'),('nan'))
+SELECT x, round(x), round(x,1) as round1, trunc(x), trunc(x,1) as trunc1
+FROM v;
+
+WITH v(x) AS
+ (VALUES('0'::numeric),('1'),('-1'),('4.2'),('-7.777'),
+ ('inf'),('-inf'),('nan'),
+ ('inf'),('-inf'),('nan'))
+SELECT x
+FROM v ORDER BY x;
+
+WITH v(x) AS
+ (VALUES('0'::numeric),('1'),('4.2'),('inf'),('nan'))
+SELECT x, sqrt(x)
+FROM v;
+
+SELECT sqrt('-1'::numeric);
+SELECT sqrt('-inf'::numeric);
+
+WITH v(x) AS
+ (VALUES('1'::numeric),('4.2'),('inf'),('nan'))
+SELECT x,
+ log(x),
+ log10(x),
+ ln(x)
+FROM v;
+
+SELECT ln('0'::numeric);
+SELECT ln('-1'::numeric);
+SELECT ln('-inf'::numeric);
+
+WITH v(x) AS
+ (VALUES('2'::numeric),('4.2'),('inf'),('nan'))
+SELECT x1, x2,
+ log(x1, x2)
+FROM v AS v1(x1), v AS v2(x2);
+
+SELECT log('0'::numeric, '10');
+SELECT log('10'::numeric, '0');
+SELECT log('-inf'::numeric, '10');
+SELECT log('10'::numeric, '-inf');
+SELECT log('inf'::numeric, '0');
+SELECT log('inf'::numeric, '-inf');
+SELECT log('-inf'::numeric, 'inf');
+
+WITH v(x) AS
+ (VALUES('0'::numeric),('1'),('2'),('4.2'),('inf'),('nan'))
+SELECT x1, x2,
+ power(x1, x2)
+FROM v AS v1(x1), v AS v2(x2) WHERE x1 != 0 OR x2 >= 0;
+
+SELECT power('0'::numeric, '-1');
+SELECT power('0'::numeric, '-inf');
+SELECT power('-1'::numeric, 'inf');
+SELECT power('-2'::numeric, '3');
+SELECT power('-2'::numeric, '3.3');
+SELECT power('-2'::numeric, '-1');
+SELECT power('-2'::numeric, '-1.5');
+SELECT power('-2'::numeric, 'inf');
+SELECT power('-2'::numeric, '-inf');
+SELECT power('inf'::numeric, '-2');
+SELECT power('inf'::numeric, '-inf');
+SELECT power('-inf'::numeric, '2');
+SELECT power('-inf'::numeric, '3');
+SELECT power('-inf'::numeric, '4.5');
+SELECT power('-inf'::numeric, '-2');
+SELECT power('-inf'::numeric, '-3');
+SELECT power('-inf'::numeric, '0');
+SELECT power('-inf'::numeric, 'inf');
+SELECT power('-inf'::numeric, '-inf');
+
-- ******************************
-- * miscellaneous checks for things that have been broken in the past...
-- ******************************
@@ -659,9 +771,25 @@ DROP TABLE fract_only;
SELECT 'NaN'::float8::numeric;
SELECT 'Infinity'::float8::numeric;
SELECT '-Infinity'::float8::numeric;
+SELECT 'NaN'::numeric::float8;
+SELECT 'Infinity'::numeric::float8;
+SELECT '-Infinity'::numeric::float8;
SELECT 'NaN'::float4::numeric;
SELECT 'Infinity'::float4::numeric;
SELECT '-Infinity'::float4::numeric;
+SELECT 'NaN'::numeric::float4;
+SELECT 'Infinity'::numeric::float4;
+SELECT '-Infinity'::numeric::float4;
+SELECT '42'::int2::numeric;
+SELECT 'NaN'::numeric::int2;
+SELECT 'Infinity'::numeric::int2;
+SELECT '-Infinity'::numeric::int2;
+SELECT 'NaN'::numeric::int4;
+SELECT 'Infinity'::numeric::int4;
+SELECT '-Infinity'::numeric::int4;
+SELECT 'NaN'::numeric::int8;
+SELECT 'Infinity'::numeric::int8;
+SELECT '-Infinity'::numeric::int8;
-- Simple check that ceil(), floor(), and round() work correctly
CREATE TABLE ceil_floor_round (a numeric);
@@ -697,6 +825,9 @@ SELECT width_bucket(5.0::float8, 3.0::float8, 4.0::float8, -5);
SELECT width_bucket(3.5::float8, 3.0::float8, 3.0::float8, 888);
SELECT width_bucket('NaN', 3.0, 4.0, 888);
SELECT width_bucket(0::float8, 'NaN', 4.0::float8, 888);
+SELECT width_bucket('inf', 3.0, 4.0, 888);
+SELECT width_bucket(2.0, 3.0, '-inf', 888);
+SELECT width_bucket(0::float8, '-inf', 4.0::float8, 888);
-- normal operation
CREATE TABLE width_bucket_test (operand_num numeric, operand_f8 float8);
@@ -782,6 +913,30 @@ SELECT '' AS to_char_21, to_char(val, '999999SG9999999999') FROM num_data;
SELECT '' AS to_char_22, to_char(val, 'FM9999999999999999.999999999999999') FROM num_data;
SELECT '' AS to_char_23, to_char(val, '9.999EEEE') FROM num_data;
+WITH v(val) AS
+ (VALUES('0'::numeric),('-4.2'),('4.2e9'),('1.2e-5'),('inf'),('-inf'),('nan'))
+SELECT val,
+ to_char(val, '9.999EEEE') as numeric,
+ to_char(val::float8, '9.999EEEE') as float8,
+ to_char(val::float4, '9.999EEEE') as float4
+FROM v;
+
+WITH v(val) AS
+ (VALUES('0'::numeric),('-4.2'),('4.2e9'),('1.2e-5'),('inf'),('-inf'),('nan'))
+SELECT val,
+ to_char(val, 'MI9999999999.99') as numeric,
+ to_char(val::float8, 'MI9999999999.99') as float8,
+ to_char(val::float4, 'MI9999999999.99') as float4
+FROM v;
+
+WITH v(val) AS
+ (VALUES('0'::numeric),('-4.2'),('4.2e9'),('1.2e-5'),('inf'),('-inf'),('nan'))
+SELECT val,
+ to_char(val, 'MI99.99') as numeric,
+ to_char(val::float8, 'MI99.99') as float8,
+ to_char(val::float4, 'MI99.99') as float4
+FROM v;
+
SELECT '' AS to_char_24, to_char('100'::numeric, 'FM999.9');
SELECT '' AS to_char_25, to_char('100'::numeric, 'FM999.');
SELECT '' AS to_char_26, to_char('100'::numeric, 'FM999');
@@ -839,6 +994,12 @@ INSERT INTO num_input_test(n1) VALUES ('555.50');
INSERT INTO num_input_test(n1) VALUES ('-555.50');
INSERT INTO num_input_test(n1) VALUES ('NaN ');
INSERT INTO num_input_test(n1) VALUES (' nan');
+INSERT INTO num_input_test(n1) VALUES (' inf ');
+INSERT INTO num_input_test(n1) VALUES (' +inf ');
+INSERT INTO num_input_test(n1) VALUES (' -inf ');
+INSERT INTO num_input_test(n1) VALUES (' Infinity ');
+INSERT INTO num_input_test(n1) VALUES (' +inFinity ');
+INSERT INTO num_input_test(n1) VALUES (' -INFINITY ');
-- bad inputs
INSERT INTO num_input_test(n1) VALUES (' ');
@@ -849,6 +1010,7 @@ INSERT INTO num_input_test(n1) VALUES ('5 . 0');
INSERT INTO num_input_test(n1) VALUES ('5. 0 ');
INSERT INTO num_input_test(n1) VALUES ('');
INSERT INTO num_input_test(n1) VALUES (' N aN ');
+INSERT INTO num_input_test(n1) VALUES ('+ infinity');
SELECT * FROM num_input_test;
@@ -952,6 +1114,9 @@ select 1.234 ^ 5678;
select exp(0.0);
select exp(1.0);
select exp(1.0::numeric(71,70));
+select exp('nan'::numeric);
+select exp('inf'::numeric);
+select exp('-inf'::numeric);
-- cases that used to generate inaccurate results
select exp(32.999);
@@ -973,6 +1138,9 @@ select * from generate_series(-100::numeric, 100::numeric, 0::numeric);
select * from generate_series(-100::numeric, 100::numeric, 'nan'::numeric);
select * from generate_series('nan'::numeric, 100::numeric, 10::numeric);
select * from generate_series(0::numeric, 'nan'::numeric, 10::numeric);
+select * from generate_series('inf'::numeric, 'inf'::numeric, 10::numeric);
+select * from generate_series(0::numeric, 'inf'::numeric, 10::numeric);
+select * from generate_series(0::numeric, '42'::numeric, '-inf'::numeric);
-- Checks maximum, output is truncated
select (i / (10::numeric ^ 131071))::numeric(1,0)
from generate_series(6 * (10::numeric ^ 131071),
@@ -1040,6 +1208,7 @@ select log(3.1954752e47, 9.4792021e-73);
--
select scale(numeric 'NaN');
+select scale(numeric 'inf');
select scale(NULL::numeric);
select scale(1.12);
select scale(0);
@@ -1054,6 +1223,7 @@ select scale(-13.000000000000000);
--
select min_scale(numeric 'NaN') is NULL; -- should be true
+select min_scale(numeric 'inf') is NULL; -- should be true
select min_scale(0); -- no digits
select min_scale(0.00); -- no digits again
select min_scale(1.0); -- no scale
@@ -1070,6 +1240,7 @@ select min_scale(1e100); -- very big number
--
select trim_scale(numeric 'NaN');
+select trim_scale(numeric 'inf');
select trim_scale(1.120);
select trim_scale(0);
select trim_scale(0.00);
@@ -1096,7 +1267,11 @@ FROM (VALUES (0::numeric, 0::numeric),
(0::numeric, 46375::numeric),
(433125::numeric, 46375::numeric),
(43312.5::numeric, 4637.5::numeric),
- (4331.250::numeric, 463.75000::numeric)) AS v(a, b);
+ (4331.250::numeric, 463.75000::numeric),
+ ('inf', '0'),
+ ('inf', '42'),
+ ('inf', 'inf')
+ ) AS v(a, b);
--
-- Tests for LCM()
@@ -1108,6 +1283,10 @@ FROM (VALUES (0::numeric, 0::numeric),
(13272::numeric, 13272::numeric),
(423282::numeric, 13272::numeric),
(42328.2::numeric, 1327.2::numeric),
- (4232.820::numeric, 132.72000::numeric)) AS v(a, b);
+ (4232.820::numeric, 132.72000::numeric),
+ ('inf', '0'),
+ ('inf', '42'),
+ ('inf', 'inf')
+ ) AS v(a, b);
SELECT lcm(9999 * (10::numeric)^131068 + (10::numeric^131068 - 1), 2); -- overflow
diff --git a/src/test/regress/sql/window.sql b/src/test/regress/sql/window.sql
index fe273aa31e..b4e7f6d8c6 100644
--- a/src/test/regress/sql/window.sql
+++ b/src/test/regress/sql/window.sql
@@ -499,7 +499,7 @@ create temp table numerics(
);
insert into numerics values
-(0, '-infinity', '-infinity', '-1000'), -- numeric type lacks infinities
+(0, '-infinity', '-infinity', '-infinity'),
(1, -3, -3, -3),
(2, -1, -1, -1),
(3, 0, 0, 0),
@@ -507,7 +507,7 @@ insert into numerics values
(5, 1.12, 1.12, 1.12),
(6, 2, 2, 2),
(7, 100, 100, 100),
-(8, 'infinity', 'infinity', '1000'),
+(8, 'infinity', 'infinity', 'infinity'),
(9, 'NaN', 'NaN', 'NaN');
select id, f_float4, first_value(id) over w, last_value(id) over w
@@ -558,6 +558,10 @@ window w as (order by f_numeric range between
1 preceding and 1.1::float8 following); -- currently unsupported
select id, f_numeric, first_value(id) over w, last_value(id) over w
from numerics
+window w as (order by f_numeric range between
+ 'inf' preceding and 'inf' following);
+select id, f_numeric, first_value(id) over w, last_value(id) over w
+from numerics
window w as (order by f_numeric range between
1.1 preceding and 'NaN' following); -- error, NaN disallowed
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