static void apply_typmod(NumericVar *var, int32 typmod);
-static int32 numericvar_to_int4(NumericVar *var);
-static bool numericvar_to_int8(NumericVar *var, int64 *result);
-static void int8_to_numericvar(int64 val, NumericVar *var);
+static int32 numericvar_to_int32(NumericVar *var);
+static bool numericvar_to_int64(NumericVar *var, int64 *result);
+static void int64_to_numericvar(int64 val, NumericVar *var);
+#ifdef HAVE_INT128
+static void int128_to_numericvar(int128 val, NumericVar *var);
+#endif
static double numeric_to_double_no_overflow(Numeric num);
static double numericvar_to_double_no_overflow(NumericVar *var);
init_var(&count_var);
/* Convert 'count' to a numeric, for ease of use later */
- int8_to_numericvar((int64) count, &count_var);
+ int64_to_numericvar((int64) count, &count_var);
switch (cmp_numerics(bound1, bound2))
{
}
/* if result exceeds the range of a legal int4, we ereport here */
- result = numericvar_to_int4(&result_var);
+ result = numericvar_to_int32(&result_var);
free_var(&count_var);
free_var(&result_var);
init_var(&fact);
init_var(&result);
- int8_to_numericvar(num, &result);
+ int64_to_numericvar(num, &result);
for (num = num - 1; num > 1; num--)
{
/* this loop can take awhile, so allow it to be interrupted */
CHECK_FOR_INTERRUPTS();
- int8_to_numericvar(num, &fact);
+ int64_to_numericvar(num, &fact);
mul_var(&result, &fact, &result, 0);
}
init_var(&result);
- int8_to_numericvar((int64) val, &result);
+ int64_to_numericvar((int64) val, &result);
res = make_result(&result);
/* Convert to variable format, then convert to int4 */
init_var_from_num(num, &x);
- result = numericvar_to_int4(&x);
+ result = numericvar_to_int32(&x);
PG_RETURN_INT32(result);
}
* ereport(). The input NumericVar is *not* free'd.
*/
static int32
-numericvar_to_int4(NumericVar *var)
+numericvar_to_int32(NumericVar *var)
{
int32 result;
int64 val;
- if (!numericvar_to_int8(var, &val))
+ if (!numericvar_to_int64(var, &val))
ereport(ERROR,
(errcode(ERRCODE_NUMERIC_VALUE_OUT_OF_RANGE),
errmsg("integer out of range")));
init_var(&result);
- int8_to_numericvar(val, &result);
+ int64_to_numericvar(val, &result);
res = make_result(&result);
/* Convert to variable format and thence to int8 */
init_var_from_num(num, &x);
- if (!numericvar_to_int8(&x, &result))
+ if (!numericvar_to_int64(&x, &result))
ereport(ERROR,
(errcode(ERRCODE_NUMERIC_VALUE_OUT_OF_RANGE),
errmsg("bigint out of range")));
init_var(&result);
- int8_to_numericvar((int64) val, &result);
+ int64_to_numericvar((int64) val, &result);
res = make_result(&result);
/* Convert to variable format and thence to int8 */
init_var_from_num(num, &x);
- if (!numericvar_to_int8(&x, &val))
+ if (!numericvar_to_int64(&x, &val))
ereport(ERROR,
(errcode(ERRCODE_NUMERIC_VALUE_OUT_OF_RANGE),
errmsg("smallint out of range")));
* Actually, it's a pointer to a NumericAggState allocated in the aggregate
* context. The digit buffers for the NumericVars will be there too.
*
+ * On platforms which support 128-bit integers some aggregates instead use a
+ * 128-bit integer based transition datatype to speed up calculations.
+ *
* ----------------------------------------------------------------------
*/
/*
- * Integer data types all use Numeric accumulators to share code and
- * avoid risk of overflow. For int2 and int4 inputs, Numeric accumulation
- * is overkill for the N and sum(X) values, but definitely not overkill
- * for the sum(X*X) value. Hence, we use int2_accum and int4_accum only
- * for stddev/variance --- there are faster special-purpose accumulator
- * routines for SUM and AVG of these datatypes.
+ * Integer data types in general use Numeric accumulators to share code
+ * and avoid risk of overflow.
+ *
+ * However for performance reasons optimized special-purpose accumulator
+ * routines are used when possible.
+ *
+ * On platforms with 128-bit integer support, the 128-bit routines will be
+ * used when sum(X) or sum(X*X) fit into 128-bit.
+ *
+ * For 16 and 32 bit inputs, the N and sum(X) fit into 64-bit so the 64-bit
+ * accumulators will be used for SUM and AVG of these data types.
+ */
+
+#ifdef HAVE_INT128
+typedef struct Int128AggState
+{
+ bool calcSumX2; /* if true, calculate sumX2 */
+ int64 N; /* count of processed numbers */
+ int128 sumX; /* sum of processed numbers */
+ int128 sumX2; /* sum of squares of processed numbers */
+} Int128AggState;
+
+/*
+ * Prepare state data for a 128-bit aggregate function that needs to compute
+ * sum, count and optionally sum of squares of the input.
+ */
+static Int128AggState *
+makeInt128AggState(FunctionCallInfo fcinfo, bool calcSumX2)
+{
+ Int128AggState *state;
+ MemoryContext agg_context;
+ MemoryContext old_context;
+
+ if (!AggCheckCallContext(fcinfo, &agg_context))
+ elog(ERROR, "aggregate function called in non-aggregate context");
+
+ old_context = MemoryContextSwitchTo(agg_context);
+
+ state = (Int128AggState *) palloc0(sizeof(Int128AggState));
+ state->calcSumX2 = calcSumX2;
+
+ MemoryContextSwitchTo(old_context);
+
+ return state;
+}
+
+/*
+ * Accumulate a new input value for 128-bit aggregate functions.
+ */
+static void
+do_int128_accum(Int128AggState *state, int128 newval)
+{
+ if (state->calcSumX2)
+ state->sumX2 += newval * newval;
+
+ state->sumX += newval;
+ state->N++;
+}
+
+/*
+ * Remove an input value from the aggregated state.
*/
+static void
+do_int128_discard(Int128AggState *state, int128 newval)
+{
+ if (state->calcSumX2)
+ state->sumX2 -= newval * newval;
+
+ state->sumX -= newval;
+ state->N--;
+}
+
+typedef Int128AggState PolyNumAggState;
+#define makePolyNumAggState makeInt128AggState
+#else
+typedef NumericAggState PolyNumAggState;
+#define makePolyNumAggState makeNumericAggState
+#endif
Datum
int2_accum(PG_FUNCTION_ARGS)
{
- NumericAggState *state;
+ PolyNumAggState *state;
- state = PG_ARGISNULL(0) ? NULL : (NumericAggState *) PG_GETARG_POINTER(0);
+ state = PG_ARGISNULL(0) ? NULL : (PolyNumAggState *) PG_GETARG_POINTER(0);
/* Create the state data on the first call */
if (state == NULL)
- state = makeNumericAggState(fcinfo, true);
+ state = makePolyNumAggState(fcinfo, true);
if (!PG_ARGISNULL(1))
{
+#ifdef HAVE_INT128
+ do_int128_accum(state, (int128) PG_GETARG_INT32(1));
+#else
Numeric newval;
newval = DatumGetNumeric(DirectFunctionCall1(int2_numeric,
PG_GETARG_DATUM(1)));
do_numeric_accum(state, newval);
+#endif
}
PG_RETURN_POINTER(state);
Datum
int4_accum(PG_FUNCTION_ARGS)
{
- NumericAggState *state;
+ PolyNumAggState *state;
- state = PG_ARGISNULL(0) ? NULL : (NumericAggState *) PG_GETARG_POINTER(0);
+ state = PG_ARGISNULL(0) ? NULL : (PolyNumAggState *) PG_GETARG_POINTER(0);
/* Create the state data on the first call */
if (state == NULL)
- state = makeNumericAggState(fcinfo, true);
+ state = makePolyNumAggState(fcinfo, true);
if (!PG_ARGISNULL(1))
{
+#ifdef HAVE_INT128
+ do_int128_accum(state, (int128) PG_GETARG_INT32(1));
+#else
Numeric newval;
newval = DatumGetNumeric(DirectFunctionCall1(int4_numeric,
PG_GETARG_DATUM(1)));
do_numeric_accum(state, newval);
+#endif
}
PG_RETURN_POINTER(state);
Datum
int8_avg_accum(PG_FUNCTION_ARGS)
{
- NumericAggState *state;
+ PolyNumAggState *state;
- state = PG_ARGISNULL(0) ? NULL : (NumericAggState *) PG_GETARG_POINTER(0);
+ state = PG_ARGISNULL(0) ? NULL : (PolyNumAggState *) PG_GETARG_POINTER(0);
/* Create the state data on the first call */
if (state == NULL)
- state = makeNumericAggState(fcinfo, false);
+ state = makePolyNumAggState(fcinfo, false);
if (!PG_ARGISNULL(1))
{
+#ifdef HAVE_INT128
+ do_int128_accum(state, (int128) PG_GETARG_INT64(1));
+#else
Numeric newval;
newval = DatumGetNumeric(DirectFunctionCall1(int8_numeric,
PG_GETARG_DATUM(1)));
do_numeric_accum(state, newval);
+#endif
}
PG_RETURN_POINTER(state);
Datum
int2_accum_inv(PG_FUNCTION_ARGS)
{
- NumericAggState *state;
+ PolyNumAggState *state;
- state = PG_ARGISNULL(0) ? NULL : (NumericAggState *) PG_GETARG_POINTER(0);
+ state = PG_ARGISNULL(0) ? NULL : (PolyNumAggState *) PG_GETARG_POINTER(0);
/* Should not get here with no state */
if (state == NULL)
if (!PG_ARGISNULL(1))
{
+#ifdef HAVE_INT128
+ do_int128_discard(state, (int128) PG_GETARG_INT16(1));
+#else
Numeric newval;
newval = DatumGetNumeric(DirectFunctionCall1(int2_numeric,
/* Should never fail, all inputs have dscale 0 */
if (!do_numeric_discard(state, newval))
elog(ERROR, "do_numeric_discard failed unexpectedly");
+#endif
}
PG_RETURN_POINTER(state);
Datum
int4_accum_inv(PG_FUNCTION_ARGS)
{
- NumericAggState *state;
+ PolyNumAggState *state;
- state = PG_ARGISNULL(0) ? NULL : (NumericAggState *) PG_GETARG_POINTER(0);
+ state = PG_ARGISNULL(0) ? NULL : (PolyNumAggState *) PG_GETARG_POINTER(0);
/* Should not get here with no state */
if (state == NULL)
if (!PG_ARGISNULL(1))
{
+#ifdef HAVE_INT128
+ do_int128_discard(state, (int128) PG_GETARG_INT32(1));
+#else
Numeric newval;
newval = DatumGetNumeric(DirectFunctionCall1(int4_numeric,
/* Should never fail, all inputs have dscale 0 */
if (!do_numeric_discard(state, newval))
elog(ERROR, "do_numeric_discard failed unexpectedly");
+#endif
}
PG_RETURN_POINTER(state);
PG_RETURN_POINTER(state);
}
+Datum
+int8_avg_accum_inv(PG_FUNCTION_ARGS)
+{
+ PolyNumAggState *state;
+
+ state = PG_ARGISNULL(0) ? NULL : (PolyNumAggState *) PG_GETARG_POINTER(0);
+
+ /* Should not get here with no state */
+ if (state == NULL)
+ elog(ERROR, "int8_avg_accum_inv called with NULL state");
+
+ if (!PG_ARGISNULL(1))
+ {
+#ifdef HAVE_INT128
+ do_int128_discard(state, (int128) PG_GETARG_INT64(1));
+#else
+ Numeric newval;
+
+ newval = DatumGetNumeric(DirectFunctionCall1(int8_numeric,
+ PG_GETARG_DATUM(1)));
+
+ /* Should never fail, all inputs have dscale 0 */
+ if (!do_numeric_discard(state, newval))
+ elog(ERROR, "do_numeric_discard failed unexpectedly");
+#endif
+ }
+
+ PG_RETURN_POINTER(state);
+}
+
+Datum
+numeric_poly_sum(PG_FUNCTION_ARGS)
+{
+#ifdef HAVE_INT128
+ PolyNumAggState *state;
+ Numeric res;
+ NumericVar result;
+
+ state = PG_ARGISNULL(0) ? NULL : (PolyNumAggState *) PG_GETARG_POINTER(0);
+
+ /* If there were no non-null inputs, return NULL */
+ if (state == NULL || state->N == 0)
+ PG_RETURN_NULL();
+
+ init_var(&result);
+
+ int128_to_numericvar(state->sumX, &result);
+
+ res = make_result(&result);
+
+ free_var(&result);
+
+ PG_RETURN_NUMERIC(res);
+#else
+ return numeric_sum(fcinfo);
+#endif
+}
+
+Datum
+numeric_poly_avg(PG_FUNCTION_ARGS)
+{
+#ifdef HAVE_INT128
+ PolyNumAggState *state;
+ NumericVar result;
+ Datum countd, sumd;
+
+ state = PG_ARGISNULL(0) ? NULL : (PolyNumAggState *) PG_GETARG_POINTER(0);
+
+ /* If there were no non-null inputs, return NULL */
+ if (state == NULL || state->N == 0)
+ PG_RETURN_NULL();
+
+ init_var(&result);
+
+ int128_to_numericvar(state->sumX, &result);
+
+ countd = DirectFunctionCall1(int8_numeric,
+ Int64GetDatumFast(state->N));
+ sumd = NumericGetDatum(make_result(&result));
+
+ free_var(&result);
+
+ PG_RETURN_DATUM(DirectFunctionCall2(numeric_div, sumd, countd));
+#else
+ return numeric_avg(fcinfo);
+#endif
+}
+
Datum
numeric_avg(PG_FUNCTION_ARGS)
{
init_var(&vsumX);
init_var(&vsumX2);
- int8_to_numericvar(state->N, &vN);
+ int64_to_numericvar(state->N, &vN);
set_var_from_var(&(state->sumX), &vsumX);
set_var_from_var(&(state->sumX2), &vsumX2);
PG_RETURN_NUMERIC(res);
}
+#ifdef HAVE_INT128
+static Numeric
+numeric_poly_stddev_internal(Int128AggState *state,
+ bool variance, bool sample,
+ bool *is_null)
+{
+ NumericAggState numstate;
+ Numeric res;
+
+ init_var(&numstate.sumX);
+ init_var(&numstate.sumX2);
+ numstate.NaNcount = 0;
+ numstate.agg_context = NULL;
+
+ if (state)
+ {
+ numstate.N = state->N;
+ int128_to_numericvar(state->sumX, &numstate.sumX);
+ int128_to_numericvar(state->sumX2, &numstate.sumX2);
+ }
+ else
+ {
+ numstate.N = 0;
+ }
+
+ res = numeric_stddev_internal(&numstate, variance, sample, is_null);
+
+ free_var(&numstate.sumX);
+ free_var(&numstate.sumX2);
+
+ return res;
+}
+#endif
+
+Datum
+numeric_poly_var_samp(PG_FUNCTION_ARGS)
+{
+#ifdef HAVE_INT128
+ PolyNumAggState *state;
+ Numeric res;
+ bool is_null;
+
+ state = PG_ARGISNULL(0) ? NULL : (PolyNumAggState *) PG_GETARG_POINTER(0);
+
+ res = numeric_poly_stddev_internal(state, true, true, &is_null);
+
+ if (is_null)
+ PG_RETURN_NULL();
+ else
+ PG_RETURN_NUMERIC(res);
+#else
+ return numeric_var_samp(fcinfo);
+#endif
+}
+
+Datum
+numeric_poly_stddev_samp(PG_FUNCTION_ARGS)
+{
+#ifdef HAVE_INT128
+ PolyNumAggState *state;
+ Numeric res;
+ bool is_null;
+
+ state = PG_ARGISNULL(0) ? NULL : (PolyNumAggState *) PG_GETARG_POINTER(0);
+
+ res = numeric_poly_stddev_internal(state, false, true, &is_null);
+
+ if (is_null)
+ PG_RETURN_NULL();
+ else
+ PG_RETURN_NUMERIC(res);
+#else
+ return numeric_stddev_samp(fcinfo);
+#endif
+}
+
+Datum
+numeric_poly_var_pop(PG_FUNCTION_ARGS)
+{
+#ifdef HAVE_INT128
+ PolyNumAggState *state;
+ Numeric res;
+ bool is_null;
+
+ state = PG_ARGISNULL(0) ? NULL : (PolyNumAggState *) PG_GETARG_POINTER(0);
+
+ res = numeric_poly_stddev_internal(state, true, false, &is_null);
+
+ if (is_null)
+ PG_RETURN_NULL();
+ else
+ PG_RETURN_NUMERIC(res);
+#else
+ return numeric_var_pop(fcinfo);
+#endif
+}
+
+Datum
+numeric_poly_stddev_pop(PG_FUNCTION_ARGS)
+{
+#ifdef HAVE_INT128
+ PolyNumAggState *state;
+ Numeric res;
+ bool is_null;
+
+ state = PG_ARGISNULL(0) ? NULL : (PolyNumAggState *) PG_GETARG_POINTER(0);
+
+ res = numeric_poly_stddev_internal(state, false, false, &is_null);
+
+ if (is_null)
+ PG_RETURN_NULL();
+ else
+ PG_RETURN_NUMERIC(res);
+#else
+ return numeric_stddev_pop(fcinfo);
+#endif
+}
+
/*
* SUM transition functions for integer datatypes.
*
* If overflow, return FALSE (no error is raised). Return TRUE if okay.
*/
static bool
-numericvar_to_int8(NumericVar *var, int64 *result)
+numericvar_to_int64(NumericVar *var, int64 *result)
{
NumericDigit *digits;
int ndigits;
* Convert int8 value to numeric.
*/
static void
-int8_to_numericvar(int64 val, NumericVar *var)
+int64_to_numericvar(int64 val, NumericVar *var)
{
uint64 uval,
newuval;
NumericDigit *ptr;
int ndigits;
- /* int8 can require at most 19 decimal digits; add one for safety */
+ /* int64 can require at most 19 decimal digits; add one for safety */
alloc_var(var, 20 / DEC_DIGITS);
if (val < 0)
{
var->weight = ndigits - 1;
}
+#ifdef HAVE_INT128
+/*
+ * Convert 128 bit integer to numeric.
+ */
+static void
+int128_to_numericvar(int128 val, NumericVar *var)
+{
+ uint128 uval,
+ newuval;
+ NumericDigit *ptr;
+ int ndigits;
+
+ /* int128 can require at most 39 decimal digits; add one for safety */
+ alloc_var(var, 40 / DEC_DIGITS);
+ if (val < 0)
+ {
+ var->sign = NUMERIC_NEG;
+ uval = -val;
+ }
+ else
+ {
+ var->sign = NUMERIC_POS;
+ uval = val;
+ }
+ var->dscale = 0;
+ if (val == 0)
+ {
+ var->ndigits = 0;
+ var->weight = 0;
+ return;
+ }
+ ptr = var->digits + var->ndigits;
+ ndigits = 0;
+ do
+ {
+ ptr--;
+ ndigits++;
+ newuval = uval / NBASE;
+ *ptr = uval - newuval * NBASE;
+ uval = newuval;
+ } while (uval);
+ var->digits = ptr;
+ var->ndigits = ndigits;
+ var->weight = ndigits - 1;
+}
+#endif
+
/*
* Convert numeric to float8; if out of range, return +/- HUGE_VAL
*/
/* exact integer, but does it fit in int? */
int64 expval64;
- if (numericvar_to_int8(exp, &expval64))
+ if (numericvar_to_int64(exp, &expval64))
{
int expval = (int) expval64;
*/
/* avg */
-DATA(insert ( 2100 n 0 int8_avg_accum numeric_avg int8_avg_accum int8_accum_inv numeric_avg f f 0 2281 128 2281 128 _null_ _null_ ));
-DATA(insert ( 2101 n 0 int4_avg_accum int8_avg int4_avg_accum int4_avg_accum_inv int8_avg f f 0 1016 0 1016 0 "{0,0}" "{0,0}" ));
-DATA(insert ( 2102 n 0 int2_avg_accum int8_avg int2_avg_accum int2_avg_accum_inv int8_avg f f 0 1016 0 1016 0 "{0,0}" "{0,0}" ));
-DATA(insert ( 2103 n 0 numeric_avg_accum numeric_avg numeric_avg_accum numeric_accum_inv numeric_avg f f 0 2281 128 2281 128 _null_ _null_ ));
-DATA(insert ( 2104 n 0 float4_accum float8_avg - - - f f 0 1022 0 0 0 "{0,0,0}" _null_ ));
-DATA(insert ( 2105 n 0 float8_accum float8_avg - - - f f 0 1022 0 0 0 "{0,0,0}" _null_ ));
-DATA(insert ( 2106 n 0 interval_accum interval_avg interval_accum interval_accum_inv interval_avg f f 0 1187 0 1187 0 "{0 second,0 second}" "{0 second,0 second}" ));
+DATA(insert ( 2100 n 0 int8_avg_accum numeric_poly_avg int8_avg_accum int8_avg_accum_inv numeric_poly_avg f f 0 2281 48 2281 48 _null_ _null_ ));
+DATA(insert ( 2101 n 0 int4_avg_accum int8_avg int4_avg_accum int4_avg_accum_inv int8_avg f f 0 1016 0 1016 0 "{0,0}" "{0,0}" ));
+DATA(insert ( 2102 n 0 int2_avg_accum int8_avg int2_avg_accum int2_avg_accum_inv int8_avg f f 0 1016 0 1016 0 "{0,0}" "{0,0}" ));
+DATA(insert ( 2103 n 0 numeric_avg_accum numeric_avg numeric_avg_accum numeric_accum_inv numeric_avg f f 0 2281 128 2281 128 _null_ _null_ ));
+DATA(insert ( 2104 n 0 float4_accum float8_avg - - - f f 0 1022 0 0 0 "{0,0,0}" _null_ ));
+DATA(insert ( 2105 n 0 float8_accum float8_avg - - - f f 0 1022 0 0 0 "{0,0,0}" _null_ ));
+DATA(insert ( 2106 n 0 interval_accum interval_avg interval_accum interval_accum_inv interval_avg f f 0 1187 0 1187 0 "{0 second,0 second}" "{0 second,0 second}" ));
/* sum */
-DATA(insert ( 2107 n 0 int8_avg_accum numeric_sum int8_avg_accum int8_accum_inv numeric_sum f f 0 2281 128 2281 128 _null_ _null_ ));
-DATA(insert ( 2108 n 0 int4_sum - int4_avg_accum int4_avg_accum_inv int2int4_sum f f 0 20 0 1016 0 _null_ "{0,0}" ));
-DATA(insert ( 2109 n 0 int2_sum - int2_avg_accum int2_avg_accum_inv int2int4_sum f f 0 20 0 1016 0 _null_ "{0,0}" ));
-DATA(insert ( 2110 n 0 float4pl - - - - f f 0 700 0 0 0 _null_ _null_ ));
-DATA(insert ( 2111 n 0 float8pl - - - - f f 0 701 0 0 0 _null_ _null_ ));
-DATA(insert ( 2112 n 0 cash_pl - cash_pl cash_mi - f f 0 790 0 790 0 _null_ _null_ ));
-DATA(insert ( 2113 n 0 interval_pl - interval_pl interval_mi - f f 0 1186 0 1186 0 _null_ _null_ ));
-DATA(insert ( 2114 n 0 numeric_avg_accum numeric_sum numeric_avg_accum numeric_accum_inv numeric_sum f f 0 2281 128 2281 128 _null_ _null_ ));
+DATA(insert ( 2107 n 0 int8_avg_accum numeric_poly_sum int8_avg_accum int8_avg_accum_inv numeric_poly_sum f f 0 2281 48 2281 48 _null_ _null_ ));
+DATA(insert ( 2108 n 0 int4_sum - int4_avg_accum int4_avg_accum_inv int2int4_sum f f 0 20 0 1016 0 _null_ "{0,0}" ));
+DATA(insert ( 2109 n 0 int2_sum - int2_avg_accum int2_avg_accum_inv int2int4_sum f f 0 20 0 1016 0 _null_ "{0,0}" ));
+DATA(insert ( 2110 n 0 float4pl - - - - f f 0 700 0 0 0 _null_ _null_ ));
+DATA(insert ( 2111 n 0 float8pl - - - - f f 0 701 0 0 0 _null_ _null_ ));
+DATA(insert ( 2112 n 0 cash_pl - cash_pl cash_mi - f f 0 790 0 790 0 _null_ _null_ ));
+DATA(insert ( 2113 n 0 interval_pl - interval_pl interval_mi - f f 0 1186 0 1186 0 _null_ _null_ ));
+DATA(insert ( 2114 n 0 numeric_avg_accum numeric_sum numeric_avg_accum numeric_accum_inv numeric_sum f f 0 2281 128 2281 128 _null_ _null_ ));
/* max */
DATA(insert ( 2115 n 0 int8larger - - - - f f 413 20 0 0 0 _null_ _null_ ));
DATA(insert ( 2803 n 0 int8inc - int8inc int8dec - f f 0 20 0 20 0 "0" "0" ));
/* var_pop */
-DATA(insert ( 2718 n 0 int8_accum numeric_var_pop int8_accum int8_accum_inv numeric_var_pop f f 0 2281 128 2281 128 _null_ _null_ ));
-DATA(insert ( 2719 n 0 int4_accum numeric_var_pop int4_accum int4_accum_inv numeric_var_pop f f 0 2281 128 2281 128 _null_ _null_ ));
-DATA(insert ( 2720 n 0 int2_accum numeric_var_pop int2_accum int2_accum_inv numeric_var_pop f f 0 2281 128 2281 128 _null_ _null_ ));
-DATA(insert ( 2721 n 0 float4_accum float8_var_pop - - - f f 0 1022 0 0 0 "{0,0,0}" _null_ ));
-DATA(insert ( 2722 n 0 float8_accum float8_var_pop - - - f f 0 1022 0 0 0 "{0,0,0}" _null_ ));
-DATA(insert ( 2723 n 0 numeric_accum numeric_var_pop numeric_accum numeric_accum_inv numeric_var_pop f f 0 2281 128 2281 128 _null_ _null_ ));
+DATA(insert ( 2718 n 0 int8_accum numeric_var_pop int8_accum int8_accum_inv numeric_var_pop f f 0 2281 128 2281 128 _null_ _null_ ));
+DATA(insert ( 2719 n 0 int4_accum numeric_poly_var_pop int4_accum int4_accum_inv numeric_poly_var_pop f f 0 2281 48 2281 48 _null_ _null_ ));
+DATA(insert ( 2720 n 0 int2_accum numeric_poly_var_pop int2_accum int2_accum_inv numeric_poly_var_pop f f 0 2281 48 2281 48 _null_ _null_ ));
+DATA(insert ( 2721 n 0 float4_accum float8_var_pop - - - f f 0 1022 0 0 0 "{0,0,0}" _null_ ));
+DATA(insert ( 2722 n 0 float8_accum float8_var_pop - - - f f 0 1022 0 0 0 "{0,0,0}" _null_ ));
+DATA(insert ( 2723 n 0 numeric_accum numeric_var_pop numeric_accum numeric_accum_inv numeric_var_pop f f 0 2281 128 2281 128 _null_ _null_ ));
/* var_samp */
-DATA(insert ( 2641 n 0 int8_accum numeric_var_samp int8_accum int8_accum_inv numeric_var_samp f f 0 2281 128 2281 128 _null_ _null_ ));
-DATA(insert ( 2642 n 0 int4_accum numeric_var_samp int4_accum int4_accum_inv numeric_var_samp f f 0 2281 128 2281 128 _null_ _null_ ));
-DATA(insert ( 2643 n 0 int2_accum numeric_var_samp int2_accum int2_accum_inv numeric_var_samp f f 0 2281 128 2281 128 _null_ _null_ ));
-DATA(insert ( 2644 n 0 float4_accum float8_var_samp - - - f f 0 1022 0 0 0 "{0,0,0}" _null_ ));
-DATA(insert ( 2645 n 0 float8_accum float8_var_samp - - - f f 0 1022 0 0 0 "{0,0,0}" _null_ ));
-DATA(insert ( 2646 n 0 numeric_accum numeric_var_samp numeric_accum numeric_accum_inv numeric_var_samp f f 0 2281 128 2281 128 _null_ _null_ ));
+DATA(insert ( 2641 n 0 int8_accum numeric_var_samp int8_accum int8_accum_inv numeric_var_samp f f 0 2281 128 2281 128 _null_ _null_ ));
+DATA(insert ( 2642 n 0 int4_accum numeric_poly_var_samp int4_accum int4_accum_inv numeric_poly_var_samp f f 0 2281 48 2281 48 _null_ _null_ ));
+DATA(insert ( 2643 n 0 int2_accum numeric_poly_var_samp int2_accum int2_accum_inv numeric_poly_var_samp f f 0 2281 48 2281 48 _null_ _null_ ));
+DATA(insert ( 2644 n 0 float4_accum float8_var_samp - - - f f 0 1022 0 0 0 "{0,0,0}" _null_ ));
+DATA(insert ( 2645 n 0 float8_accum float8_var_samp - - - f f 0 1022 0 0 0 "{0,0,0}" _null_ ));
+DATA(insert ( 2646 n 0 numeric_accum numeric_var_samp numeric_accum numeric_accum_inv numeric_var_samp f f 0 2281 128 2281 128 _null_ _null_ ));
/* variance: historical Postgres syntax for var_samp */
-DATA(insert ( 2148 n 0 int8_accum numeric_var_samp int8_accum int8_accum_inv numeric_var_samp f f 0 2281 128 2281 128 _null_ _null_ ));
-DATA(insert ( 2149 n 0 int4_accum numeric_var_samp int4_accum int4_accum_inv numeric_var_samp f f 0 2281 128 2281 128 _null_ _null_ ));
-DATA(insert ( 2150 n 0 int2_accum numeric_var_samp int2_accum int2_accum_inv numeric_var_samp f f 0 2281 128 2281 128 _null_ _null_ ));
-DATA(insert ( 2151 n 0 float4_accum float8_var_samp - - - f f 0 1022 0 0 0 "{0,0,0}" _null_ ));
-DATA(insert ( 2152 n 0 float8_accum float8_var_samp - - - f f 0 1022 0 0 0 "{0,0,0}" _null_ ));
-DATA(insert ( 2153 n 0 numeric_accum numeric_var_samp numeric_accum numeric_accum_inv numeric_var_samp f f 0 2281 128 2281 128 _null_ _null_ ));
+DATA(insert ( 2148 n 0 int8_accum numeric_var_samp int8_accum int8_accum_inv numeric_var_samp f f 0 2281 128 2281 128 _null_ _null_ ));
+DATA(insert ( 2149 n 0 int4_accum numeric_poly_var_samp int4_accum int4_accum_inv numeric_poly_var_samp f f 0 2281 48 2281 48 _null_ _null_ ));
+DATA(insert ( 2150 n 0 int2_accum numeric_poly_var_samp int2_accum int2_accum_inv numeric_poly_var_samp f f 0 2281 48 2281 48 _null_ _null_ ));
+DATA(insert ( 2151 n 0 float4_accum float8_var_samp - - - f f 0 1022 0 0 0 "{0,0,0}" _null_ ));
+DATA(insert ( 2152 n 0 float8_accum float8_var_samp - - - f f 0 1022 0 0 0 "{0,0,0}" _null_ ));
+DATA(insert ( 2153 n 0 numeric_accum numeric_var_samp numeric_accum numeric_accum_inv numeric_var_samp f f 0 2281 128 2281 128 _null_ _null_ ));
/* stddev_pop */
-DATA(insert ( 2724 n 0 int8_accum numeric_stddev_pop int8_accum int8_accum_inv numeric_stddev_pop f f 0 2281 128 2281 128 _null_ _null_ ));
-DATA(insert ( 2725 n 0 int4_accum numeric_stddev_pop int4_accum int4_accum_inv numeric_stddev_pop f f 0 2281 128 2281 128 _null_ _null_ ));
-DATA(insert ( 2726 n 0 int2_accum numeric_stddev_pop int2_accum int2_accum_inv numeric_stddev_pop f f 0 2281 128 2281 128 _null_ _null_ ));
-DATA(insert ( 2727 n 0 float4_accum float8_stddev_pop - - - f f 0 1022 0 0 0 "{0,0,0}" _null_ ));
-DATA(insert ( 2728 n 0 float8_accum float8_stddev_pop - - - f f 0 1022 0 0 0 "{0,0,0}" _null_ ));
-DATA(insert ( 2729 n 0 numeric_accum numeric_stddev_pop numeric_accum numeric_accum_inv numeric_stddev_pop f f 0 2281 128 2281 128 _null_ _null_ ));
+DATA(insert ( 2724 n 0 int8_accum numeric_stddev_pop int8_accum int8_accum_inv numeric_stddev_pop f f 0 2281 128 2281 128 _null_ _null_ ));
+DATA(insert ( 2725 n 0 int4_accum numeric_poly_stddev_pop int4_accum int4_accum_inv numeric_poly_stddev_pop f f 0 2281 48 2281 48 _null_ _null_ ));
+DATA(insert ( 2726 n 0 int2_accum numeric_poly_stddev_pop int2_accum int2_accum_inv numeric_poly_stddev_pop f f 0 2281 48 2281 48 _null_ _null_ ));
+DATA(insert ( 2727 n 0 float4_accum float8_stddev_pop - - - f f 0 1022 0 0 0 "{0,0,0}" _null_ ));
+DATA(insert ( 2728 n 0 float8_accum float8_stddev_pop - - - f f 0 1022 0 0 0 "{0,0,0}" _null_ ));
+DATA(insert ( 2729 n 0 numeric_accum numeric_stddev_pop numeric_accum numeric_accum_inv numeric_stddev_pop f f 0 2281 128 2281 128 _null_ _null_ ));
/* stddev_samp */
-DATA(insert ( 2712 n 0 int8_accum numeric_stddev_samp int8_accum int8_accum_inv numeric_stddev_samp f f 0 2281 128 2281 128 _null_ _null_ ));
-DATA(insert ( 2713 n 0 int4_accum numeric_stddev_samp int4_accum int4_accum_inv numeric_stddev_samp f f 0 2281 128 2281 128 _null_ _null_ ));
-DATA(insert ( 2714 n 0 int2_accum numeric_stddev_samp int2_accum int2_accum_inv numeric_stddev_samp f f 0 2281 128 2281 128 _null_ _null_ ));
-DATA(insert ( 2715 n 0 float4_accum float8_stddev_samp - - - f f 0 1022 0 0 0 "{0,0,0}" _null_ ));
-DATA(insert ( 2716 n 0 float8_accum float8_stddev_samp - - - f f 0 1022 0 0 0 "{0,0,0}" _null_ ));
-DATA(insert ( 2717 n 0 numeric_accum numeric_stddev_samp numeric_accum numeric_accum_inv numeric_stddev_samp f f 0 2281 128 2281 128 _null_ _null_ ));
+DATA(insert ( 2712 n 0 int8_accum numeric_stddev_samp int8_accum int8_accum_inv numeric_stddev_samp f f 0 2281 128 2281 128 _null_ _null_ ));
+DATA(insert ( 2713 n 0 int4_accum numeric_poly_stddev_samp int4_accum int4_accum_inv numeric_poly_stddev_samp f f 0 2281 48 2281 48 _null_ _null_ ));
+DATA(insert ( 2714 n 0 int2_accum numeric_poly_stddev_samp int2_accum int2_accum_inv numeric_poly_stddev_samp f f 0 2281 48 2281 48 _null_ _null_ ));
+DATA(insert ( 2715 n 0 float4_accum float8_stddev_samp - - - f f 0 1022 0 0 0 "{0,0,0}" _null_ ));
+DATA(insert ( 2716 n 0 float8_accum float8_stddev_samp - - - f f 0 1022 0 0 0 "{0,0,0}" _null_ ));
+DATA(insert ( 2717 n 0 numeric_accum numeric_stddev_samp numeric_accum numeric_accum_inv numeric_stddev_samp f f 0 2281 128 2281 128 _null_ _null_ ));
/* stddev: historical Postgres syntax for stddev_samp */
-DATA(insert ( 2154 n 0 int8_accum numeric_stddev_samp int8_accum int8_accum_inv numeric_stddev_samp f f 0 2281 128 2281 128 _null_ _null_ ));
-DATA(insert ( 2155 n 0 int4_accum numeric_stddev_samp int4_accum int4_accum_inv numeric_stddev_samp f f 0 2281 128 2281 128 _null_ _null_ ));
-DATA(insert ( 2156 n 0 int2_accum numeric_stddev_samp int2_accum int2_accum_inv numeric_stddev_samp f f 0 2281 128 2281 128 _null_ _null_ ));
-DATA(insert ( 2157 n 0 float4_accum float8_stddev_samp - - - f f 0 1022 0 0 0 "{0,0,0}" _null_ ));
-DATA(insert ( 2158 n 0 float8_accum float8_stddev_samp - - - f f 0 1022 0 0 0 "{0,0,0}" _null_ ));
-DATA(insert ( 2159 n 0 numeric_accum numeric_stddev_samp numeric_accum numeric_accum_inv numeric_stddev_samp f f 0 2281 128 2281 128 _null_ _null_ ));
+DATA(insert ( 2154 n 0 int8_accum numeric_stddev_samp int8_accum int8_accum_inv numeric_stddev_samp f f 0 2281 128 2281 128 _null_ _null_ ));
+DATA(insert ( 2155 n 0 int4_accum numeric_poly_stddev_samp int4_accum int4_accum_inv numeric_poly_stddev_samp f f 0 2281 48 2281 48 _null_ _null_ ));
+DATA(insert ( 2156 n 0 int2_accum numeric_poly_stddev_samp int2_accum int2_accum_inv numeric_poly_stddev_samp f f 0 2281 48 2281 48 _null_ _null_ ));
+DATA(insert ( 2157 n 0 float4_accum float8_stddev_samp - - - f f 0 1022 0 0 0 "{0,0,0}" _null_ ));
+DATA(insert ( 2158 n 0 float8_accum float8_stddev_samp - - - f f 0 1022 0 0 0 "{0,0,0}" _null_ ));
+DATA(insert ( 2159 n 0 numeric_accum numeric_stddev_samp numeric_accum numeric_accum_inv numeric_stddev_samp f f 0 2281 128 2281 128 _null_ _null_ ));
/* SQL2003 binary regression aggregates */
DATA(insert ( 2818 n 0 int8inc_float8_float8 - - - - f f 0 20 0 0 0 "0" _null_ ));