}
}
+Datum
+int8dec(PG_FUNCTION_ARGS)
+{
+ /*
+ * When int8 is pass-by-reference, we provide this special case to avoid
+ * palloc overhead for COUNT(): when called as an aggregate, we know that
+ * the argument is modifiable local storage, so just update it in-place.
+ * (If int8 is pass-by-value, then of course this is useless as well as
+ * incorrect, so just ifdef it out.)
+ */
+#ifndef USE_FLOAT8_BYVAL /* controls int8 too */
+ if (AggCheckCallContext(fcinfo, NULL))
+ {
+ int64 *arg = (int64 *) PG_GETARG_POINTER(0);
+ int64 result;
+
+ result = *arg - 1;
+ /* Overflow check */
+ if (result > 0 && *arg < 0)
+ ereport(ERROR,
+ (errcode(ERRCODE_NUMERIC_VALUE_OUT_OF_RANGE),
+ errmsg("bigint out of range")));
+
+ *arg = result;
+ PG_RETURN_POINTER(arg);
+ }
+ else
+#endif
+ {
+ /* Not called as an aggregate, so just do it the dumb way */
+ int64 arg = PG_GETARG_INT64(0);
+ int64 result;
+
+ result = arg - 1;
+ /* Overflow check */
+ if (result > 0 && arg < 0)
+ ereport(ERROR,
+ (errcode(ERRCODE_NUMERIC_VALUE_OUT_OF_RANGE),
+ errmsg("bigint out of range")));
+
+ PG_RETURN_INT64(result);
+ }
+}
+
+
/*
- * These functions are exactly like int8inc but are used for aggregates that
- * count only non-null values. Since the functions are declared strict,
- * the null checks happen before we ever get here, and all we need do is
- * increment the state value. We could actually make these pg_proc entries
- * point right at int8inc, but then the opr_sanity regression test would
- * complain about mismatched entries for a built-in function.
+ * These functions are exactly like int8inc/int8dec but are used for
+ * aggregates that count only non-null values. Since the functions are
+ * declared strict, the null checks happen before we ever get here, and all we
+ * need do is increment the state value. We could actually make these pg_proc
+ * entries point right at int8inc/int8dec, but then the opr_sanity regression
+ * test would complain about mismatched entries for a built-in function.
*/
Datum
return int8inc(fcinfo);
}
+Datum
+int8dec_any(PG_FUNCTION_ARGS)
+{
+ return int8dec(fcinfo);
+}
+
Datum
int8larger(PG_FUNCTION_ARGS)
* Actually, it's a pointer to a NumericAggState allocated in the aggregate
* context. The digit buffers for the NumericVars will be there too.
*
- * Note that the transition functions don't bother to create a NumericAggState
- * until they see the first non-null input value; therefore, the final
- * functions will never see N == 0. (The case is represented as a NULL
- * state pointer, instead.)
- *
* ----------------------------------------------------------------------
*/
typedef struct NumericAggState
{
bool calcSumX2; /* if true, calculate sumX2 */
- bool isNaN; /* true if any processed number was NaN */
MemoryContext agg_context; /* context we're calculating in */
int64 N; /* count of processed numbers */
NumericVar sumX; /* sum of processed numbers */
NumericVar 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!) */
} NumericAggState;
/*
NumericVar X2;
MemoryContext old_context;
- /* result is NaN if any processed number is NaN */
- if (state->isNaN || NUMERIC_IS_NAN(newval))
+ /* Count NaN inputs separately from all else */
+ if (NUMERIC_IS_NAN(newval))
{
- state->isNaN = true;
+ state->NaNcount++;
return;
}
/* load processed number in short-lived context */
init_var_from_num(newval, &X);
+ /*
+ * Track the highest input dscale that we've seen, to support inverse
+ * transitions (see do_numeric_discard).
+ */
+ if (X.dscale > state->maxScale)
+ {
+ state->maxScale = X.dscale;
+ state->maxScaleCount = 1;
+ }
+ else if (X.dscale == state->maxScale)
+ state->maxScaleCount++;
+
/* if we need X^2, calculate that in short-lived context */
if (state->calcSumX2)
{
MemoryContextSwitchTo(old_context);
}
+/*
+ * Attempt to remove an input value from the aggregated state.
+ *
+ * If the value cannot be removed then the function will return false; the
+ * possible reasons for failing are described below.
+ *
+ * If we aggregate the values 1.01 and 2 then the result will be 3.01.
+ * If we are then asked to un-aggregate the 1.01 then we must fail as we
+ * won't be able to tell what the new aggregated value's dscale should be.
+ * We don't want to return 2.00 (dscale = 2), since the sum's dscale would
+ * have been zero if we'd really aggregated only 2.
+ *
+ * Note: alternatively, we could count the number of inputs with each possible
+ * dscale (up to some sane limit). Not yet clear if it's worth the trouble.
+ */
+static bool
+do_numeric_discard(NumericAggState *state, Numeric newval)
+{
+ NumericVar X;
+ NumericVar X2;
+ MemoryContext old_context;
+
+ /* Count NaN inputs separately from all else */
+ if (NUMERIC_IS_NAN(newval))
+ {
+ state->NaNcount--;
+ return true;
+ }
+
+ /* load processed number in short-lived context */
+ init_var_from_num(newval, &X);
+
+ /*
+ * state->sumX's dscale is the maximum dscale of any of the inputs.
+ * Removing the last input with that dscale would require us to recompute
+ * the maximum dscale of the *remaining* inputs, which we cannot do unless
+ * no more non-NaN inputs remain at all. So we report a failure instead,
+ * and force the aggregation to be redone from scratch.
+ */
+ if (X.dscale == state->maxScale)
+ {
+ if (state->maxScaleCount > 1 || state->maxScale == 0)
+ {
+ /*
+ * Some remaining inputs have same dscale, or dscale hasn't
+ * gotten above zero anyway
+ */
+ state->maxScaleCount--;
+ }
+ else if (state->N == 1)
+ {
+ /* No remaining non-NaN inputs at all, so reset maxScale */
+ state->maxScale = 0;
+ state->maxScaleCount = 0;
+ }
+ else
+ {
+ /* Correct new maxScale is uncertain, must fail */
+ return false;
+ }
+ }
+
+ /* if we need X^2, calculate that in short-lived context */
+ if (state->calcSumX2)
+ {
+ init_var(&X2);
+ mul_var(&X, &X, &X2, X.dscale * 2);
+ }
+
+ /* The rest of this needs to work in the aggregate context */
+ old_context = MemoryContextSwitchTo(state->agg_context);
+
+ if (state->N-- > 1)
+ {
+ /* De-accumulate sums */
+ sub_var(&(state->sumX), &X, &(state->sumX));
+
+ if (state->calcSumX2)
+ sub_var(&(state->sumX2), &X2, &(state->sumX2));
+ }
+ else
+ {
+ /* Sums will be reset by next call to do_numeric_accum */
+ Assert(state->N == 0);
+ }
+
+ MemoryContextSwitchTo(old_context);
+
+ return true;
+}
+
/*
* Generic transition function for numeric aggregates that require sumX2.
*/
state = PG_ARGISNULL(0) ? NULL : (NumericAggState *) PG_GETARG_POINTER(0);
- if (!PG_ARGISNULL(1))
- {
- /* Create the state data when we see the first non-null input. */
- if (state == NULL)
- state = makeNumericAggState(fcinfo, true);
+ /* Create the state data on the first call */
+ if (state == NULL)
+ state = makeNumericAggState(fcinfo, true);
+ if (!PG_ARGISNULL(1))
do_numeric_accum(state, PG_GETARG_NUMERIC(1));
- }
PG_RETURN_POINTER(state);
}
state = PG_ARGISNULL(0) ? NULL : (NumericAggState *) PG_GETARG_POINTER(0);
- if (!PG_ARGISNULL(1))
- {
- /* Create the state data when we see the first non-null input. */
- if (state == NULL)
- state = makeNumericAggState(fcinfo, false);
+ /* Create the state data on the first call */
+ if (state == NULL)
+ state = makeNumericAggState(fcinfo, false);
+ if (!PG_ARGISNULL(1))
do_numeric_accum(state, PG_GETARG_NUMERIC(1));
+
+ PG_RETURN_POINTER(state);
+}
+
+/*
+ * Generic inverse transition function for numeric aggregates
+ * (with or without requirement for X^2).
+ */
+Datum
+numeric_accum_inv(PG_FUNCTION_ARGS)
+{
+ NumericAggState *state;
+
+ state = PG_ARGISNULL(0) ? NULL : (NumericAggState *) PG_GETARG_POINTER(0);
+
+ /* Should not get here with no state */
+ if (state == NULL)
+ elog(ERROR, "numeric_accum_inv called with NULL state");
+
+ if (!PG_ARGISNULL(1))
+ {
+ /* If we fail to perform the inverse transition, return NULL */
+ if (!do_numeric_discard(state, PG_GETARG_NUMERIC(1)))
+ PG_RETURN_NULL();
}
PG_RETURN_POINTER(state);
}
+
/*
* Integer data types all use Numeric accumulators to share code and
* avoid risk of overflow. For int2 and int4 inputs, Numeric accumulation
state = PG_ARGISNULL(0) ? NULL : (NumericAggState *) PG_GETARG_POINTER(0);
+ /* Create the state data on the first call */
+ if (state == NULL)
+ state = makeNumericAggState(fcinfo, true);
+
if (!PG_ARGISNULL(1))
{
Numeric newval;
newval = DatumGetNumeric(DirectFunctionCall1(int2_numeric,
PG_GETARG_DATUM(1)));
-
- /* Create the state data when we see the first non-null input. */
- if (state == NULL)
- state = makeNumericAggState(fcinfo, true);
-
do_numeric_accum(state, newval);
}
state = PG_ARGISNULL(0) ? NULL : (NumericAggState *) PG_GETARG_POINTER(0);
+ /* Create the state data on the first call */
+ if (state == NULL)
+ state = makeNumericAggState(fcinfo, true);
+
if (!PG_ARGISNULL(1))
{
Numeric newval;
newval = DatumGetNumeric(DirectFunctionCall1(int4_numeric,
PG_GETARG_DATUM(1)));
-
- /* Create the state data when we see the first non-null input. */
- if (state == NULL)
- state = makeNumericAggState(fcinfo, true);
-
do_numeric_accum(state, newval);
}
state = PG_ARGISNULL(0) ? NULL : (NumericAggState *) PG_GETARG_POINTER(0);
+ /* Create the state data on the first call */
+ if (state == NULL)
+ state = makeNumericAggState(fcinfo, true);
+
if (!PG_ARGISNULL(1))
{
Numeric newval;
newval = DatumGetNumeric(DirectFunctionCall1(int8_numeric,
PG_GETARG_DATUM(1)));
-
- /* Create the state data when we see the first non-null input. */
- if (state == NULL)
- state = makeNumericAggState(fcinfo, true);
-
do_numeric_accum(state, newval);
}
state = PG_ARGISNULL(0) ? NULL : (NumericAggState *) PG_GETARG_POINTER(0);
+ /* Create the state data on the first call */
+ if (state == NULL)
+ state = makeNumericAggState(fcinfo, false);
+
if (!PG_ARGISNULL(1))
{
Numeric newval;
newval = DatumGetNumeric(DirectFunctionCall1(int8_numeric,
PG_GETARG_DATUM(1)));
+ do_numeric_accum(state, newval);
+ }
- /* Create the state data when we see the first non-null input. */
- if (state == NULL)
- state = makeNumericAggState(fcinfo, false);
+ PG_RETURN_POINTER(state);
+}
- do_numeric_accum(state, newval);
+
+/*
+ * Inverse transition functions to go with the above.
+ */
+
+Datum
+int2_accum_inv(PG_FUNCTION_ARGS)
+{
+ NumericAggState *state;
+
+ state = PG_ARGISNULL(0) ? NULL : (NumericAggState *) PG_GETARG_POINTER(0);
+
+ /* Should not get here with no state */
+ if (state == NULL)
+ elog(ERROR, "int2_accum_inv called with NULL state");
+
+ if (!PG_ARGISNULL(1))
+ {
+ Numeric newval;
+
+ newval = DatumGetNumeric(DirectFunctionCall1(int2_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");
}
PG_RETURN_POINTER(state);
}
+Datum
+int4_accum_inv(PG_FUNCTION_ARGS)
+{
+ NumericAggState *state;
+
+ state = PG_ARGISNULL(0) ? NULL : (NumericAggState *) PG_GETARG_POINTER(0);
+
+ /* Should not get here with no state */
+ if (state == NULL)
+ elog(ERROR, "int4_accum_inv called with NULL state");
+
+ if (!PG_ARGISNULL(1))
+ {
+ Numeric newval;
+
+ newval = DatumGetNumeric(DirectFunctionCall1(int4_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");
+ }
+
+ PG_RETURN_POINTER(state);
+}
+
+Datum
+int8_accum_inv(PG_FUNCTION_ARGS)
+{
+ NumericAggState *state;
+
+ state = PG_ARGISNULL(0) ? NULL : (NumericAggState *) PG_GETARG_POINTER(0);
+
+ /* Should not get here with no state */
+ if (state == NULL)
+ elog(ERROR, "int8_accum_inv called with NULL state");
+
+ if (!PG_ARGISNULL(1))
+ {
+ 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");
+ }
+
+ PG_RETURN_POINTER(state);
+}
Datum
numeric_avg(PG_FUNCTION_ARGS)
Datum sumX_datum;
state = PG_ARGISNULL(0) ? NULL : (NumericAggState *) PG_GETARG_POINTER(0);
- if (state == NULL) /* there were no non-null inputs */
+
+ /* If there were no non-null inputs, return NULL */
+ if (state == NULL || (state->N + state->NaNcount) == 0)
PG_RETURN_NULL();
- if (state->isNaN) /* there was at least one NaN input */
+ if (state->NaNcount > 0) /* there was at least one NaN input */
PG_RETURN_NUMERIC(make_result(&const_nan));
N_datum = DirectFunctionCall1(int8_numeric, Int64GetDatum(state->N));
NumericAggState *state;
state = PG_ARGISNULL(0) ? NULL : (NumericAggState *) PG_GETARG_POINTER(0);
- if (state == NULL) /* there were no non-null inputs */
+
+ /* If there were no non-null inputs, return NULL */
+ if (state == NULL || (state->N + state->NaNcount) == 0)
PG_RETURN_NULL();
- if (state->isNaN) /* there was at least one NaN input */
+ if (state->NaNcount > 0) /* there was at least one NaN input */
PG_RETURN_NUMERIC(make_result(&const_nan));
PG_RETURN_NUMERIC(make_result(&(state->sumX)));
int rscale;
/* Deal with empty input and NaN-input cases */
- if (state == NULL)
+ if (state == NULL || (state->N + state->NaNcount) == 0)
{
*is_null = true;
return NULL;
*is_null = false;
- if (state->isNaN)
+ if (state->NaNcount > 0)
return make_result(&const_nan);
init_var(&vN);
* data value into the transition data: it doesn't know how to do the type
* conversion. The upshot is that these routines have to be marked non-strict
* and handle substitution of the first non-null input themselves.
+ *
+ * Note: these functions are used only in plain aggregation mode.
+ * In moving-aggregate mode, we use intX_avg_accum and intX_avg_accum_inv.
*/
Datum
/*
* Routines for avg(int2) and avg(int4). The transition datatype
* is a two-element int8 array, holding count and sum.
+ *
+ * These functions are also used for sum(int2) and sum(int4) when
+ * operating in moving-aggregate mode, since for correct inverse transitions
+ * we need to count the inputs.
*/
typedef struct Int8TransTypeData
PG_RETURN_ARRAYTYPE_P(transarray);
}
+Datum
+int2_avg_accum_inv(PG_FUNCTION_ARGS)
+{
+ ArrayType *transarray;
+ int16 newval = PG_GETARG_INT16(1);
+ Int8TransTypeData *transdata;
+
+ /*
+ * If we're invoked as an aggregate, we can cheat and modify our first
+ * parameter in-place to reduce palloc overhead. Otherwise we need to make
+ * a copy of it before scribbling on it.
+ */
+ if (AggCheckCallContext(fcinfo, NULL))
+ transarray = PG_GETARG_ARRAYTYPE_P(0);
+ else
+ transarray = PG_GETARG_ARRAYTYPE_P_COPY(0);
+
+ if (ARR_HASNULL(transarray) ||
+ ARR_SIZE(transarray) != ARR_OVERHEAD_NONULLS(1) + sizeof(Int8TransTypeData))
+ elog(ERROR, "expected 2-element int8 array");
+
+ transdata = (Int8TransTypeData *) ARR_DATA_PTR(transarray);
+ transdata->count--;
+ transdata->sum -= newval;
+
+ PG_RETURN_ARRAYTYPE_P(transarray);
+}
+
+Datum
+int4_avg_accum_inv(PG_FUNCTION_ARGS)
+{
+ ArrayType *transarray;
+ int32 newval = PG_GETARG_INT32(1);
+ Int8TransTypeData *transdata;
+
+ /*
+ * If we're invoked as an aggregate, we can cheat and modify our first
+ * parameter in-place to reduce palloc overhead. Otherwise we need to make
+ * a copy of it before scribbling on it.
+ */
+ if (AggCheckCallContext(fcinfo, NULL))
+ transarray = PG_GETARG_ARRAYTYPE_P(0);
+ else
+ transarray = PG_GETARG_ARRAYTYPE_P_COPY(0);
+
+ if (ARR_HASNULL(transarray) ||
+ ARR_SIZE(transarray) != ARR_OVERHEAD_NONULLS(1) + sizeof(Int8TransTypeData))
+ elog(ERROR, "expected 2-element int8 array");
+
+ transdata = (Int8TransTypeData *) ARR_DATA_PTR(transarray);
+ transdata->count--;
+ transdata->sum -= newval;
+
+ PG_RETURN_ARRAYTYPE_P(transarray);
+}
+
Datum
int8_avg(PG_FUNCTION_ARGS)
{
PG_RETURN_DATUM(DirectFunctionCall2(numeric_div, sumd, countd));
}
+/*
+ * SUM(int2) and SUM(int4) both return int8, so we can use this
+ * final function for both.
+ */
+Datum
+int2int4_sum(PG_FUNCTION_ARGS)
+{
+ ArrayType *transarray = PG_GETARG_ARRAYTYPE_P(0);
+ Int8TransTypeData *transdata;
+
+ if (ARR_HASNULL(transarray) ||
+ ARR_SIZE(transarray) != ARR_OVERHEAD_NONULLS(1) + sizeof(Int8TransTypeData))
+ elog(ERROR, "expected 2-element int8 array");
+ transdata = (Int8TransTypeData *) ARR_DATA_PTR(transarray);
+
+ /* SQL defines SUM of no values to be NULL */
+ if (transdata->count == 0)
+ PG_RETURN_NULL();
+
+ PG_RETURN_DATUM(Int64GetDatumFast(transdata->sum));
+}
+
/* ----------------------------------------------------------------------
*
(errcode(ERRCODE_DATETIME_VALUE_OUT_OF_RANGE),
errmsg("interval out of range")));
-
PG_RETURN_INTERVAL_P(result);
}
}
/*
- * interval_accum and interval_avg implement the AVG(interval) aggregate.
+ * interval_accum, interval_accum_inv, and interval_avg implement the
+ * AVG(interval) aggregate.
*
* The transition datatype for this aggregate is a 2-element array of
* intervals, where the first is the running sum and the second contains
* the number of values so far in its 'time' field. This is a bit ugly
* but it beats inventing a specialized datatype for the purpose.
+ *
+ * NOTE: The inverse transition function cannot guarantee exact results
+ * when using float8 timestamps. However, int8 timestamps are now the
+ * norm, and the probable range of values is not so wide that disastrous
+ * cancellation is likely even with float8, so we'll ignore the risk.
*/
Datum
if (ndatums != 2)
elog(ERROR, "expected 2-element interval array");
- /*
- * XXX memcpy, instead of just extracting a pointer, to work around buggy
- * array code: it won't ensure proper alignment of Interval objects on
- * machines where double requires 8-byte alignment. That should be fixed,
- * but in the meantime...
- *
- * Note: must use DatumGetPointer here, not DatumGetIntervalP, else some
- * compilers optimize into double-aligned load/store anyway.
- */
- memcpy((void *) &sumX, DatumGetPointer(transdatums[0]), sizeof(Interval));
- memcpy((void *) &N, DatumGetPointer(transdatums[1]), sizeof(Interval));
+ sumX = *(DatumGetIntervalP(transdatums[0]));
+ N = *(DatumGetIntervalP(transdatums[1]));
newsum = DatumGetIntervalP(DirectFunctionCall2(interval_pl,
IntervalPGetDatum(&sumX),
PG_RETURN_ARRAYTYPE_P(result);
}
+Datum
+interval_accum_inv(PG_FUNCTION_ARGS)
+{
+ ArrayType *transarray = PG_GETARG_ARRAYTYPE_P(0);
+ Interval *newval = PG_GETARG_INTERVAL_P(1);
+ Datum *transdatums;
+ int ndatums;
+ Interval sumX,
+ N;
+ Interval *newsum;
+ ArrayType *result;
+
+ deconstruct_array(transarray,
+ INTERVALOID, sizeof(Interval), false, 'd',
+ &transdatums, NULL, &ndatums);
+ if (ndatums != 2)
+ elog(ERROR, "expected 2-element interval array");
+
+ sumX = *(DatumGetIntervalP(transdatums[0]));
+ N = *(DatumGetIntervalP(transdatums[1]));
+
+ newsum = DatumGetIntervalP(DirectFunctionCall2(interval_mi,
+ IntervalPGetDatum(&sumX),
+ IntervalPGetDatum(newval)));
+ N.time -= 1;
+
+ transdatums[0] = IntervalPGetDatum(newsum);
+ transdatums[1] = IntervalPGetDatum(&N);
+
+ result = construct_array(transdatums, 2,
+ INTERVALOID, sizeof(Interval), false, 'd');
+
+ PG_RETURN_ARRAYTYPE_P(result);
+}
+
Datum
interval_avg(PG_FUNCTION_ARGS)
{
if (ndatums != 2)
elog(ERROR, "expected 2-element interval array");
- /*
- * XXX memcpy, instead of just extracting a pointer, to work around buggy
- * array code: it won't ensure proper alignment of Interval objects on
- * machines where double requires 8-byte alignment. That should be fixed,
- * but in the meantime...
- *
- * Note: must use DatumGetPointer here, not DatumGetIntervalP, else some
- * compilers optimize into double-aligned load/store anyway.
- */
- memcpy((void *) &sumX, DatumGetPointer(transdatums[0]), sizeof(Interval));
- memcpy((void *) &N, DatumGetPointer(transdatums[1]), sizeof(Interval));
+ sumX = *(DatumGetIntervalP(transdatums[0]));
+ N = *(DatumGetIntervalP(transdatums[1]));
/* SQL defines AVG of no values to be NULL */
if (N.time == 0)
return DirectFunctionCall2(interval_div,
IntervalPGetDatum(&sumX),
- Float8GetDatum(N.time));
+ Float8GetDatum((double) N.time));
}
*/
/* yyyymmddN */
-#define CATALOG_VERSION_NO 201404121
+#define CATALOG_VERSION_NO 201404122
#endif
*/
/* avg */
-DATA(insert ( 2100 n 0 int8_avg_accum numeric_avg - - - 0 2281 128 0 0 _null_ _null_ ));
-DATA(insert ( 2101 n 0 int4_avg_accum int8_avg - - - 0 1016 0 0 0 "{0,0}" _null_ ));
-DATA(insert ( 2102 n 0 int2_avg_accum int8_avg - - - 0 1016 0 0 0 "{0,0}" _null_ ));
-DATA(insert ( 2103 n 0 numeric_avg_accum numeric_avg - - - 0 2281 128 0 0 _null_ _null_ ));
-DATA(insert ( 2104 n 0 float4_accum float8_avg - - - 0 1022 0 0 0 "{0,0,0}" _null_ ));
-DATA(insert ( 2105 n 0 float8_accum float8_avg - - - 0 1022 0 0 0 "{0,0,0}" _null_ ));
-DATA(insert ( 2106 n 0 interval_accum interval_avg - - - 0 1187 0 0 0 "{0 second,0 second}" _null_ ));
+DATA(insert ( 2100 n 0 int8_avg_accum numeric_avg int8_avg_accum int8_accum_inv numeric_avg 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 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 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 0 2281 128 2281 128 _null_ _null_ ));
+DATA(insert ( 2104 n 0 float4_accum float8_avg - - - 0 1022 0 0 0 "{0,0,0}" _null_ ));
+DATA(insert ( 2105 n 0 float8_accum float8_avg - - - 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 0 1187 0 1187 0 "{0 second,0 second}" "{0 second,0 second}" ));
/* sum */
-DATA(insert ( 2107 n 0 int8_avg_accum numeric_sum - - - 0 2281 128 0 0 _null_ _null_ ));
-DATA(insert ( 2108 n 0 int4_sum - - - - 0 20 0 0 0 _null_ _null_ ));
-DATA(insert ( 2109 n 0 int2_sum - - - - 0 20 0 0 0 _null_ _null_ ));
-DATA(insert ( 2110 n 0 float4pl - - - - 0 700 0 0 0 _null_ _null_ ));
-DATA(insert ( 2111 n 0 float8pl - - - - 0 701 0 0 0 _null_ _null_ ));
-DATA(insert ( 2112 n 0 cash_pl - - - - 0 790 0 0 0 _null_ _null_ ));
-DATA(insert ( 2113 n 0 interval_pl - - - - 0 1186 0 0 0 _null_ _null_ ));
-DATA(insert ( 2114 n 0 numeric_avg_accum numeric_sum - - - 0 2281 128 0 0 _null_ _null_ ));
+DATA(insert ( 2107 n 0 int8_avg_accum numeric_sum int8_avg_accum int8_accum_inv numeric_sum 0 2281 128 2281 128 _null_ _null_ ));
+DATA(insert ( 2108 n 0 int4_sum - int4_avg_accum int4_avg_accum_inv int2int4_sum 0 20 0 1016 0 _null_ "{0,0}" ));
+DATA(insert ( 2109 n 0 int2_sum - int2_avg_accum int2_avg_accum_inv int2int4_sum 0 20 0 1016 0 _null_ "{0,0}" ));
+DATA(insert ( 2110 n 0 float4pl - - - - 0 700 0 0 0 _null_ _null_ ));
+DATA(insert ( 2111 n 0 float8pl - - - - 0 701 0 0 0 _null_ _null_ ));
+DATA(insert ( 2112 n 0 cash_pl - cash_pl cash_mi - 0 790 0 790 0 _null_ _null_ ));
+DATA(insert ( 2113 n 0 interval_pl - interval_pl interval_mi - 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 0 2281 128 2281 128 _null_ _null_ ));
/* max */
-DATA(insert ( 2115 n 0 int8larger - - - - 413 20 0 0 0 _null_ _null_ ));
-DATA(insert ( 2116 n 0 int4larger - - - - 521 23 0 0 0 _null_ _null_ ));
-DATA(insert ( 2117 n 0 int2larger - - - - 520 21 0 0 0 _null_ _null_ ));
-DATA(insert ( 2118 n 0 oidlarger - - - - 610 26 0 0 0 _null_ _null_ ));
-DATA(insert ( 2119 n 0 float4larger - - - - 623 700 0 0 0 _null_ _null_ ));
-DATA(insert ( 2120 n 0 float8larger - - - - 674 701 0 0 0 _null_ _null_ ));
-DATA(insert ( 2121 n 0 int4larger - - - - 563 702 0 0 0 _null_ _null_ ));
-DATA(insert ( 2122 n 0 date_larger - - - - 1097 1082 0 0 0 _null_ _null_ ));
-DATA(insert ( 2123 n 0 time_larger - - - - 1112 1083 0 0 0 _null_ _null_ ));
-DATA(insert ( 2124 n 0 timetz_larger - - - - 1554 1266 0 0 0 _null_ _null_ ));
-DATA(insert ( 2125 n 0 cashlarger - - - - 903 790 0 0 0 _null_ _null_ ));
-DATA(insert ( 2126 n 0 timestamp_larger - - - - 2064 1114 0 0 0 _null_ _null_ ));
-DATA(insert ( 2127 n 0 timestamptz_larger - - - - 1324 1184 0 0 0 _null_ _null_ ));
-DATA(insert ( 2128 n 0 interval_larger - - - - 1334 1186 0 0 0 _null_ _null_ ));
-DATA(insert ( 2129 n 0 text_larger - - - - 666 25 0 0 0 _null_ _null_ ));
-DATA(insert ( 2130 n 0 numeric_larger - - - - 1756 1700 0 0 0 _null_ _null_ ));
-DATA(insert ( 2050 n 0 array_larger - - - - 1073 2277 0 0 0 _null_ _null_ ));
-DATA(insert ( 2244 n 0 bpchar_larger - - - - 1060 1042 0 0 0 _null_ _null_ ));
-DATA(insert ( 2797 n 0 tidlarger - - - - 2800 27 0 0 0 _null_ _null_ ));
-DATA(insert ( 3526 n 0 enum_larger - - - - 3519 3500 0 0 0 _null_ _null_ ));
+DATA(insert ( 2115 n 0 int8larger - - - - 413 20 0 0 0 _null_ _null_ ));
+DATA(insert ( 2116 n 0 int4larger - - - - 521 23 0 0 0 _null_ _null_ ));
+DATA(insert ( 2117 n 0 int2larger - - - - 520 21 0 0 0 _null_ _null_ ));
+DATA(insert ( 2118 n 0 oidlarger - - - - 610 26 0 0 0 _null_ _null_ ));
+DATA(insert ( 2119 n 0 float4larger - - - - 623 700 0 0 0 _null_ _null_ ));
+DATA(insert ( 2120 n 0 float8larger - - - - 674 701 0 0 0 _null_ _null_ ));
+DATA(insert ( 2121 n 0 int4larger - - - - 563 702 0 0 0 _null_ _null_ ));
+DATA(insert ( 2122 n 0 date_larger - - - - 1097 1082 0 0 0 _null_ _null_ ));
+DATA(insert ( 2123 n 0 time_larger - - - - 1112 1083 0 0 0 _null_ _null_ ));
+DATA(insert ( 2124 n 0 timetz_larger - - - - 1554 1266 0 0 0 _null_ _null_ ));
+DATA(insert ( 2125 n 0 cashlarger - - - - 903 790 0 0 0 _null_ _null_ ));
+DATA(insert ( 2126 n 0 timestamp_larger - - - - 2064 1114 0 0 0 _null_ _null_ ));
+DATA(insert ( 2127 n 0 timestamptz_larger - - - - 1324 1184 0 0 0 _null_ _null_ ));
+DATA(insert ( 2128 n 0 interval_larger - - - - 1334 1186 0 0 0 _null_ _null_ ));
+DATA(insert ( 2129 n 0 text_larger - - - - 666 25 0 0 0 _null_ _null_ ));
+DATA(insert ( 2130 n 0 numeric_larger - - - - 1756 1700 0 0 0 _null_ _null_ ));
+DATA(insert ( 2050 n 0 array_larger - - - - 1073 2277 0 0 0 _null_ _null_ ));
+DATA(insert ( 2244 n 0 bpchar_larger - - - - 1060 1042 0 0 0 _null_ _null_ ));
+DATA(insert ( 2797 n 0 tidlarger - - - - 2800 27 0 0 0 _null_ _null_ ));
+DATA(insert ( 3526 n 0 enum_larger - - - - 3519 3500 0 0 0 _null_ _null_ ));
/* min */
-DATA(insert ( 2131 n 0 int8smaller - - - - 412 20 0 0 0 _null_ _null_ ));
-DATA(insert ( 2132 n 0 int4smaller - - - - 97 23 0 0 0 _null_ _null_ ));
-DATA(insert ( 2133 n 0 int2smaller - - - - 95 21 0 0 0 _null_ _null_ ));
-DATA(insert ( 2134 n 0 oidsmaller - - - - 609 26 0 0 0 _null_ _null_ ));
-DATA(insert ( 2135 n 0 float4smaller - - - - 622 700 0 0 0 _null_ _null_ ));
-DATA(insert ( 2136 n 0 float8smaller - - - - 672 701 0 0 0 _null_ _null_ ));
-DATA(insert ( 2137 n 0 int4smaller - - - - 562 702 0 0 0 _null_ _null_ ));
-DATA(insert ( 2138 n 0 date_smaller - - - - 1095 1082 0 0 0 _null_ _null_ ));
-DATA(insert ( 2139 n 0 time_smaller - - - - 1110 1083 0 0 0 _null_ _null_ ));
-DATA(insert ( 2140 n 0 timetz_smaller - - - - 1552 1266 0 0 0 _null_ _null_ ));
-DATA(insert ( 2141 n 0 cashsmaller - - - - 902 790 0 0 0 _null_ _null_ ));
-DATA(insert ( 2142 n 0 timestamp_smaller - - - - 2062 1114 0 0 0 _null_ _null_ ));
-DATA(insert ( 2143 n 0 timestamptz_smaller - - - - 1322 1184 0 0 0 _null_ _null_ ));
-DATA(insert ( 2144 n 0 interval_smaller - - - - 1332 1186 0 0 0 _null_ _null_ ));
-DATA(insert ( 2145 n 0 text_smaller - - - - 664 25 0 0 0 _null_ _null_ ));
-DATA(insert ( 2146 n 0 numeric_smaller - - - - 1754 1700 0 0 0 _null_ _null_ ));
-DATA(insert ( 2051 n 0 array_smaller - - - - 1072 2277 0 0 0 _null_ _null_ ));
-DATA(insert ( 2245 n 0 bpchar_smaller - - - - 1058 1042 0 0 0 _null_ _null_ ));
-DATA(insert ( 2798 n 0 tidsmaller - - - - 2799 27 0 0 0 _null_ _null_ ));
-DATA(insert ( 3527 n 0 enum_smaller - - - - 3518 3500 0 0 0 _null_ _null_ ));
+DATA(insert ( 2131 n 0 int8smaller - - - - 412 20 0 0 0 _null_ _null_ ));
+DATA(insert ( 2132 n 0 int4smaller - - - - 97 23 0 0 0 _null_ _null_ ));
+DATA(insert ( 2133 n 0 int2smaller - - - - 95 21 0 0 0 _null_ _null_ ));
+DATA(insert ( 2134 n 0 oidsmaller - - - - 609 26 0 0 0 _null_ _null_ ));
+DATA(insert ( 2135 n 0 float4smaller - - - - 622 700 0 0 0 _null_ _null_ ));
+DATA(insert ( 2136 n 0 float8smaller - - - - 672 701 0 0 0 _null_ _null_ ));
+DATA(insert ( 2137 n 0 int4smaller - - - - 562 702 0 0 0 _null_ _null_ ));
+DATA(insert ( 2138 n 0 date_smaller - - - - 1095 1082 0 0 0 _null_ _null_ ));
+DATA(insert ( 2139 n 0 time_smaller - - - - 1110 1083 0 0 0 _null_ _null_ ));
+DATA(insert ( 2140 n 0 timetz_smaller - - - - 1552 1266 0 0 0 _null_ _null_ ));
+DATA(insert ( 2141 n 0 cashsmaller - - - - 902 790 0 0 0 _null_ _null_ ));
+DATA(insert ( 2142 n 0 timestamp_smaller - - - - 2062 1114 0 0 0 _null_ _null_ ));
+DATA(insert ( 2143 n 0 timestamptz_smaller - - - - 1322 1184 0 0 0 _null_ _null_ ));
+DATA(insert ( 2144 n 0 interval_smaller - - - - 1332 1186 0 0 0 _null_ _null_ ));
+DATA(insert ( 2145 n 0 text_smaller - - - - 664 25 0 0 0 _null_ _null_ ));
+DATA(insert ( 2146 n 0 numeric_smaller - - - - 1754 1700 0 0 0 _null_ _null_ ));
+DATA(insert ( 2051 n 0 array_smaller - - - - 1072 2277 0 0 0 _null_ _null_ ));
+DATA(insert ( 2245 n 0 bpchar_smaller - - - - 1058 1042 0 0 0 _null_ _null_ ));
+DATA(insert ( 2798 n 0 tidsmaller - - - - 2799 27 0 0 0 _null_ _null_ ));
+DATA(insert ( 3527 n 0 enum_smaller - - - - 3518 3500 0 0 0 _null_ _null_ ));
/* count */
-DATA(insert ( 2147 n 0 int8inc_any - - - - 0 20 0 0 0 "0" _null_ ));
-DATA(insert ( 2803 n 0 int8inc - - - - 0 20 0 0 0 "0" _null_ ));
+DATA(insert ( 2147 n 0 int8inc_any - int8inc_any int8dec_any - 0 20 0 20 0 "0" "0" ));
+DATA(insert ( 2803 n 0 int8inc - int8inc int8dec - 0 20 0 20 0 "0" "0" ));
/* var_pop */
-DATA(insert ( 2718 n 0 int8_accum numeric_var_pop - - - 0 2281 128 0 0 _null_ _null_ ));
-DATA(insert ( 2719 n 0 int4_accum numeric_var_pop - - - 0 2281 128 0 0 _null_ _null_ ));
-DATA(insert ( 2720 n 0 int2_accum numeric_var_pop - - - 0 2281 128 0 0 _null_ _null_ ));
-DATA(insert ( 2721 n 0 float4_accum float8_var_pop - - - 0 1022 0 0 0 "{0,0,0}" _null_ ));
-DATA(insert ( 2722 n 0 float8_accum float8_var_pop - - - 0 1022 0 0 0 "{0,0,0}" _null_ ));
-DATA(insert ( 2723 n 0 numeric_accum numeric_var_pop - - - 0 2281 128 0 0 _null_ _null_ ));
+DATA(insert ( 2718 n 0 int8_accum numeric_var_pop int8_accum int8_accum_inv numeric_var_pop 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 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 0 2281 128 2281 128 _null_ _null_ ));
+DATA(insert ( 2721 n 0 float4_accum float8_var_pop - - - 0 1022 0 0 0 "{0,0,0}" _null_ ));
+DATA(insert ( 2722 n 0 float8_accum float8_var_pop - - - 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 0 2281 128 2281 128 _null_ _null_ ));
/* var_samp */
-DATA(insert ( 2641 n 0 int8_accum numeric_var_samp - - - 0 2281 128 0 0 _null_ _null_ ));
-DATA(insert ( 2642 n 0 int4_accum numeric_var_samp - - - 0 2281 128 0 0 _null_ _null_ ));
-DATA(insert ( 2643 n 0 int2_accum numeric_var_samp - - - 0 2281 128 0 0 _null_ _null_ ));
-DATA(insert ( 2644 n 0 float4_accum float8_var_samp - - - 0 1022 0 0 0 "{0,0,0}" _null_ ));
-DATA(insert ( 2645 n 0 float8_accum float8_var_samp - - - 0 1022 0 0 0 "{0,0,0}" _null_ ));
-DATA(insert ( 2646 n 0 numeric_accum numeric_var_samp - - - 0 2281 128 0 0 _null_ _null_ ));
+DATA(insert ( 2641 n 0 int8_accum numeric_var_samp int8_accum int8_accum_inv numeric_var_samp 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 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 0 2281 128 2281 128 _null_ _null_ ));
+DATA(insert ( 2644 n 0 float4_accum float8_var_samp - - - 0 1022 0 0 0 "{0,0,0}" _null_ ));
+DATA(insert ( 2645 n 0 float8_accum float8_var_samp - - - 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 0 2281 128 2281 128 _null_ _null_ ));
/* variance: historical Postgres syntax for var_samp */
-DATA(insert ( 2148 n 0 int8_accum numeric_var_samp - - - 0 2281 128 0 0 _null_ _null_ ));
-DATA(insert ( 2149 n 0 int4_accum numeric_var_samp - - - 0 2281 128 0 0 _null_ _null_ ));
-DATA(insert ( 2150 n 0 int2_accum numeric_var_samp - - - 0 2281 128 0 0 _null_ _null_ ));
-DATA(insert ( 2151 n 0 float4_accum float8_var_samp - - - 0 1022 0 0 0 "{0,0,0}" _null_ ));
-DATA(insert ( 2152 n 0 float8_accum float8_var_samp - - - 0 1022 0 0 0 "{0,0,0}" _null_ ));
-DATA(insert ( 2153 n 0 numeric_accum numeric_var_samp - - - 0 2281 128 0 0 _null_ _null_ ));
+DATA(insert ( 2148 n 0 int8_accum numeric_var_samp int8_accum int8_accum_inv numeric_var_samp 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 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 0 2281 128 2281 128 _null_ _null_ ));
+DATA(insert ( 2151 n 0 float4_accum float8_var_samp - - - 0 1022 0 0 0 "{0,0,0}" _null_ ));
+DATA(insert ( 2152 n 0 float8_accum float8_var_samp - - - 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 0 2281 128 2281 128 _null_ _null_ ));
/* stddev_pop */
-DATA(insert ( 2724 n 0 int8_accum numeric_stddev_pop - - - 0 2281 128 0 0 _null_ _null_ ));
-DATA(insert ( 2725 n 0 int4_accum numeric_stddev_pop - - - 0 2281 128 0 0 _null_ _null_ ));
-DATA(insert ( 2726 n 0 int2_accum numeric_stddev_pop - - - 0 2281 128 0 0 _null_ _null_ ));
-DATA(insert ( 2727 n 0 float4_accum float8_stddev_pop - - - 0 1022 0 0 0 "{0,0,0}" _null_ ));
-DATA(insert ( 2728 n 0 float8_accum float8_stddev_pop - - - 0 1022 0 0 0 "{0,0,0}" _null_ ));
-DATA(insert ( 2729 n 0 numeric_accum numeric_stddev_pop - - - 0 2281 128 0 0 _null_ _null_ ));
+DATA(insert ( 2724 n 0 int8_accum numeric_stddev_pop int8_accum int8_accum_inv numeric_stddev_pop 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 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 0 2281 128 2281 128 _null_ _null_ ));
+DATA(insert ( 2727 n 0 float4_accum float8_stddev_pop - - - 0 1022 0 0 0 "{0,0,0}" _null_ ));
+DATA(insert ( 2728 n 0 float8_accum float8_stddev_pop - - - 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 0 2281 128 2281 128 _null_ _null_ ));
/* stddev_samp */
-DATA(insert ( 2712 n 0 int8_accum numeric_stddev_samp - - - 0 2281 128 0 0 _null_ _null_ ));
-DATA(insert ( 2713 n 0 int4_accum numeric_stddev_samp - - - 0 2281 128 0 0 _null_ _null_ ));
-DATA(insert ( 2714 n 0 int2_accum numeric_stddev_samp - - - 0 2281 128 0 0 _null_ _null_ ));
-DATA(insert ( 2715 n 0 float4_accum float8_stddev_samp - - - 0 1022 0 0 0 "{0,0,0}" _null_ ));
-DATA(insert ( 2716 n 0 float8_accum float8_stddev_samp - - - 0 1022 0 0 0 "{0,0,0}" _null_ ));
-DATA(insert ( 2717 n 0 numeric_accum numeric_stddev_samp - - - 0 2281 128 0 0 _null_ _null_ ));
+DATA(insert ( 2712 n 0 int8_accum numeric_stddev_samp int8_accum int8_accum_inv numeric_stddev_samp 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 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 0 2281 128 2281 128 _null_ _null_ ));
+DATA(insert ( 2715 n 0 float4_accum float8_stddev_samp - - - 0 1022 0 0 0 "{0,0,0}" _null_ ));
+DATA(insert ( 2716 n 0 float8_accum float8_stddev_samp - - - 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 0 2281 128 2281 128 _null_ _null_ ));
/* stddev: historical Postgres syntax for stddev_samp */
-DATA(insert ( 2154 n 0 int8_accum numeric_stddev_samp - - - 0 2281 128 0 0 _null_ _null_ ));
-DATA(insert ( 2155 n 0 int4_accum numeric_stddev_samp - - - 0 2281 128 0 0 _null_ _null_ ));
-DATA(insert ( 2156 n 0 int2_accum numeric_stddev_samp - - - 0 2281 128 0 0 _null_ _null_ ));
-DATA(insert ( 2157 n 0 float4_accum float8_stddev_samp - - - 0 1022 0 0 0 "{0,0,0}" _null_ ));
-DATA(insert ( 2158 n 0 float8_accum float8_stddev_samp - - - 0 1022 0 0 0 "{0,0,0}" _null_ ));
-DATA(insert ( 2159 n 0 numeric_accum numeric_stddev_samp - - - 0 2281 128 0 0 _null_ _null_ ));
+DATA(insert ( 2154 n 0 int8_accum numeric_stddev_samp int8_accum int8_accum_inv numeric_stddev_samp 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 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 0 2281 128 2281 128 _null_ _null_ ));
+DATA(insert ( 2157 n 0 float4_accum float8_stddev_samp - - - 0 1022 0 0 0 "{0,0,0}" _null_ ));
+DATA(insert ( 2158 n 0 float8_accum float8_stddev_samp - - - 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 0 2281 128 2281 128 _null_ _null_ ));
/* SQL2003 binary regression aggregates */
-DATA(insert ( 2818 n 0 int8inc_float8_float8 - - - - 0 20 0 0 0 "0" _null_ ));
-DATA(insert ( 2819 n 0 float8_regr_accum float8_regr_sxx - - - 0 1022 0 0 0 "{0,0,0,0,0,0}" _null_ ));
-DATA(insert ( 2820 n 0 float8_regr_accum float8_regr_syy - - - 0 1022 0 0 0 "{0,0,0,0,0,0}" _null_ ));
-DATA(insert ( 2821 n 0 float8_regr_accum float8_regr_sxy - - - 0 1022 0 0 0 "{0,0,0,0,0,0}" _null_ ));
-DATA(insert ( 2822 n 0 float8_regr_accum float8_regr_avgx - - - 0 1022 0 0 0 "{0,0,0,0,0,0}" _null_ ));
-DATA(insert ( 2823 n 0 float8_regr_accum float8_regr_avgy - - - 0 1022 0 0 0 "{0,0,0,0,0,0}" _null_ ));
-DATA(insert ( 2824 n 0 float8_regr_accum float8_regr_r2 - - - 0 1022 0 0 0 "{0,0,0,0,0,0}" _null_ ));
-DATA(insert ( 2825 n 0 float8_regr_accum float8_regr_slope - - - 0 1022 0 0 0 "{0,0,0,0,0,0}" _null_ ));
-DATA(insert ( 2826 n 0 float8_regr_accum float8_regr_intercept - - - 0 1022 0 0 0 "{0,0,0,0,0,0}" _null_ ));
-DATA(insert ( 2827 n 0 float8_regr_accum float8_covar_pop - - - 0 1022 0 0 0 "{0,0,0,0,0,0}" _null_ ));
-DATA(insert ( 2828 n 0 float8_regr_accum float8_covar_samp - - - 0 1022 0 0 0 "{0,0,0,0,0,0}" _null_ ));
-DATA(insert ( 2829 n 0 float8_regr_accum float8_corr - - - 0 1022 0 0 0 "{0,0,0,0,0,0}" _null_ ));
+DATA(insert ( 2818 n 0 int8inc_float8_float8 - - - - 0 20 0 0 0 "0" _null_ ));
+DATA(insert ( 2819 n 0 float8_regr_accum float8_regr_sxx - - - 0 1022 0 0 0 "{0,0,0,0,0,0}" _null_ ));
+DATA(insert ( 2820 n 0 float8_regr_accum float8_regr_syy - - - 0 1022 0 0 0 "{0,0,0,0,0,0}" _null_ ));
+DATA(insert ( 2821 n 0 float8_regr_accum float8_regr_sxy - - - 0 1022 0 0 0 "{0,0,0,0,0,0}" _null_ ));
+DATA(insert ( 2822 n 0 float8_regr_accum float8_regr_avgx - - - 0 1022 0 0 0 "{0,0,0,0,0,0}" _null_ ));
+DATA(insert ( 2823 n 0 float8_regr_accum float8_regr_avgy - - - 0 1022 0 0 0 "{0,0,0,0,0,0}" _null_ ));
+DATA(insert ( 2824 n 0 float8_regr_accum float8_regr_r2 - - - 0 1022 0 0 0 "{0,0,0,0,0,0}" _null_ ));
+DATA(insert ( 2825 n 0 float8_regr_accum float8_regr_slope - - - 0 1022 0 0 0 "{0,0,0,0,0,0}" _null_ ));
+DATA(insert ( 2826 n 0 float8_regr_accum float8_regr_intercept - - - 0 1022 0 0 0 "{0,0,0,0,0,0}" _null_ ));
+DATA(insert ( 2827 n 0 float8_regr_accum float8_covar_pop - - - 0 1022 0 0 0 "{0,0,0,0,0,0}" _null_ ));
+DATA(insert ( 2828 n 0 float8_regr_accum float8_covar_samp - - - 0 1022 0 0 0 "{0,0,0,0,0,0}" _null_ ));
+DATA(insert ( 2829 n 0 float8_regr_accum float8_corr - - - 0 1022 0 0 0 "{0,0,0,0,0,0}" _null_ ));
/* boolean-and and boolean-or */
-DATA(insert ( 2517 n 0 booland_statefunc - - - - 58 16 0 0 0 _null_ _null_ ));
-DATA(insert ( 2518 n 0 boolor_statefunc - - - - 59 16 0 0 0 _null_ _null_ ));
-DATA(insert ( 2519 n 0 booland_statefunc - - - - 58 16 0 0 0 _null_ _null_ ));
+DATA(insert ( 2517 n 0 booland_statefunc - - - - 58 16 0 0 0 _null_ _null_ ));
+DATA(insert ( 2518 n 0 boolor_statefunc - - - - 59 16 0 0 0 _null_ _null_ ));
+DATA(insert ( 2519 n 0 booland_statefunc - - - - 58 16 0 0 0 _null_ _null_ ));
/* bitwise integer */
-DATA(insert ( 2236 n 0 int2and - - - - 0 21 0 0 0 _null_ _null_ ));
-DATA(insert ( 2237 n 0 int2or - - - - 0 21 0 0 0 _null_ _null_ ));
-DATA(insert ( 2238 n 0 int4and - - - - 0 23 0 0 0 _null_ _null_ ));
-DATA(insert ( 2239 n 0 int4or - - - - 0 23 0 0 0 _null_ _null_ ));
-DATA(insert ( 2240 n 0 int8and - - - - 0 20 0 0 0 _null_ _null_ ));
-DATA(insert ( 2241 n 0 int8or - - - - 0 20 0 0 0 _null_ _null_ ));
-DATA(insert ( 2242 n 0 bitand - - - - 0 1560 0 0 0 _null_ _null_ ));
-DATA(insert ( 2243 n 0 bitor - - - - 0 1560 0 0 0 _null_ _null_ ));
+DATA(insert ( 2236 n 0 int2and - - - - 0 21 0 0 0 _null_ _null_ ));
+DATA(insert ( 2237 n 0 int2or - - - - 0 21 0 0 0 _null_ _null_ ));
+DATA(insert ( 2238 n 0 int4and - - - - 0 23 0 0 0 _null_ _null_ ));
+DATA(insert ( 2239 n 0 int4or - - - - 0 23 0 0 0 _null_ _null_ ));
+DATA(insert ( 2240 n 0 int8and - - - - 0 20 0 0 0 _null_ _null_ ));
+DATA(insert ( 2241 n 0 int8or - - - - 0 20 0 0 0 _null_ _null_ ));
+DATA(insert ( 2242 n 0 bitand - - - - 0 1560 0 0 0 _null_ _null_ ));
+DATA(insert ( 2243 n 0 bitor - - - - 0 1560 0 0 0 _null_ _null_ ));
/* xml */
-DATA(insert ( 2901 n 0 xmlconcat2 - - - - 0 142 0 0 0 _null_ _null_ ));
+DATA(insert ( 2901 n 0 xmlconcat2 - - - - 0 142 0 0 0 _null_ _null_ ));
/* array */
-DATA(insert ( 2335 n 0 array_agg_transfn array_agg_finalfn - - - 0 2281 0 0 0 _null_ _null_ ));
+DATA(insert ( 2335 n 0 array_agg_transfn array_agg_finalfn - - - 0 2281 0 0 0 _null_ _null_ ));
/* text */
-DATA(insert ( 3538 n 0 string_agg_transfn string_agg_finalfn - - - 0 2281 0 0 0 _null_ _null_ ));
+DATA(insert ( 3538 n 0 string_agg_transfn string_agg_finalfn - - - 0 2281 0 0 0 _null_ _null_ ));
/* bytea */
-DATA(insert ( 3545 n 0 bytea_string_agg_transfn bytea_string_agg_finalfn - - - 0 2281 0 0 0 _null_ _null_ ));
+DATA(insert ( 3545 n 0 bytea_string_agg_transfn bytea_string_agg_finalfn - - - 0 2281 0 0 0 _null_ _null_ ));
/* json */
-DATA(insert ( 3175 n 0 json_agg_transfn json_agg_finalfn - - - 0 2281 0 0 0 _null_ _null_ ));
-DATA(insert ( 3197 n 0 json_object_agg_transfn json_object_agg_finalfn - - - 0 2281 0 0 0 _null_ _null_ ));
+DATA(insert ( 3175 n 0 json_agg_transfn json_agg_finalfn - - - 0 2281 0 0 0 _null_ _null_ ));
+DATA(insert ( 3197 n 0 json_object_agg_transfn json_object_agg_finalfn - - - 0 2281 0 0 0 _null_ _null_ ));
/* ordered-set and hypothetical-set aggregates */
-DATA(insert ( 3972 o 1 ordered_set_transition percentile_disc_final - - - 0 2281 0 0 0 _null_ _null_ ));
-DATA(insert ( 3974 o 1 ordered_set_transition percentile_cont_float8_final - - - 0 2281 0 0 0 _null_ _null_ ));
-DATA(insert ( 3976 o 1 ordered_set_transition percentile_cont_interval_final - - - 0 2281 0 0 0 _null_ _null_ ));
-DATA(insert ( 3978 o 1 ordered_set_transition percentile_disc_multi_final - - - 0 2281 0 0 0 _null_ _null_ ));
-DATA(insert ( 3980 o 1 ordered_set_transition percentile_cont_float8_multi_final - - - 0 2281 0 0 0 _null_ _null_ ));
-DATA(insert ( 3982 o 1 ordered_set_transition percentile_cont_interval_multi_final - - - 0 2281 0 0 0 _null_ _null_ ));
-DATA(insert ( 3984 o 0 ordered_set_transition mode_final - - - 0 2281 0 0 0 _null_ _null_ ));
-DATA(insert ( 3986 h 1 ordered_set_transition_multi rank_final - - - 0 2281 0 0 0 _null_ _null_ ));
-DATA(insert ( 3988 h 1 ordered_set_transition_multi percent_rank_final - - - 0 2281 0 0 0 _null_ _null_ ));
-DATA(insert ( 3990 h 1 ordered_set_transition_multi cume_dist_final - - - 0 2281 0 0 0 _null_ _null_ ));
-DATA(insert ( 3992 h 1 ordered_set_transition_multi dense_rank_final - - - 0 2281 0 0 0 _null_ _null_ ));
+DATA(insert ( 3972 o 1 ordered_set_transition percentile_disc_final - - - 0 2281 0 0 0 _null_ _null_ ));
+DATA(insert ( 3974 o 1 ordered_set_transition percentile_cont_float8_final - - - 0 2281 0 0 0 _null_ _null_ ));
+DATA(insert ( 3976 o 1 ordered_set_transition percentile_cont_interval_final - - - 0 2281 0 0 0 _null_ _null_ ));
+DATA(insert ( 3978 o 1 ordered_set_transition percentile_disc_multi_final - - - 0 2281 0 0 0 _null_ _null_ ));
+DATA(insert ( 3980 o 1 ordered_set_transition percentile_cont_float8_multi_final - - - 0 2281 0 0 0 _null_ _null_ ));
+DATA(insert ( 3982 o 1 ordered_set_transition percentile_cont_interval_multi_final - - - 0 2281 0 0 0 _null_ _null_ ));
+DATA(insert ( 3984 o 0 ordered_set_transition mode_final - - - 0 2281 0 0 0 _null_ _null_ ));
+DATA(insert ( 3986 h 1 ordered_set_transition_multi rank_final - - - 0 2281 0 0 0 _null_ _null_ ));
+DATA(insert ( 3988 h 1 ordered_set_transition_multi percent_rank_final - - - 0 2281 0 0 0 _null_ _null_ ));
+DATA(insert ( 3990 h 1 ordered_set_transition_multi cume_dist_final - - - 0 2281 0 0 0 _null_ _null_ ));
+DATA(insert ( 3992 h 1 ordered_set_transition_multi dense_rank_final - - - 0 2281 0 0 0 _null_ _null_ ));
/*
DATA(insert OID = 1219 ( int8inc PGNSP PGUID 12 1 0 0 0 f f f f t f i 1 0 20 "20" _null_ _null_ _null_ _null_ int8inc _null_ _null_ _null_ ));
DESCR("increment");
+DATA(insert OID = 3546 ( int8dec PGNSP PGUID 12 1 0 0 0 f f f f t f i 1 0 20 "20" _null_ _null_ _null_ _null_ int8dec _null_ _null_ _null_ ));
+DESCR("decrement");
DATA(insert OID = 2804 ( int8inc_any PGNSP PGUID 12 1 0 0 0 f f f f t f i 2 0 20 "20 2276" _null_ _null_ _null_ _null_ int8inc_any _null_ _null_ _null_ ));
DESCR("increment, ignores second argument");
+DATA(insert OID = 3547 ( int8dec_any PGNSP PGUID 12 1 0 0 0 f f f f t f i 2 0 20 "20 2276" _null_ _null_ _null_ _null_ int8dec_any _null_ _null_ _null_ ));
+DESCR("decrement, ignores second argument");
DATA(insert OID = 1230 ( int8abs PGNSP PGUID 12 1 0 0 0 f f f f t f i 1 0 20 "20" _null_ _null_ _null_ _null_ int8abs _null_ _null_ _null_ ));
DATA(insert OID = 1236 ( int8larger PGNSP PGUID 12 1 0 0 0 f f f f t f i 2 0 20 "20 20" _null_ _null_ _null_ _null_ int8larger _null_ _null_ _null_ ));
DESCR("aggregate transition function");
DATA(insert OID = 2858 ( numeric_avg_accum PGNSP PGUID 12 1 0 0 0 f f f f f f i 2 0 2281 "2281 1700" _null_ _null_ _null_ _null_ numeric_avg_accum _null_ _null_ _null_ ));
DESCR("aggregate transition function");
+DATA(insert OID = 3548 ( numeric_accum_inv PGNSP PGUID 12 1 0 0 0 f f f f f f i 2 0 2281 "2281 1700" _null_ _null_ _null_ _null_ numeric_accum_inv _null_ _null_ _null_ ));
+DESCR("aggregate transition function");
DATA(insert OID = 1834 ( int2_accum PGNSP PGUID 12 1 0 0 0 f f f f f f i 2 0 2281 "2281 21" _null_ _null_ _null_ _null_ int2_accum _null_ _null_ _null_ ));
DESCR("aggregate transition function");
DATA(insert OID = 1835 ( int4_accum PGNSP PGUID 12 1 0 0 0 f f f f f f i 2 0 2281 "2281 23" _null_ _null_ _null_ _null_ int4_accum _null_ _null_ _null_ ));
DESCR("aggregate transition function");
DATA(insert OID = 2746 ( int8_avg_accum PGNSP PGUID 12 1 0 0 0 f f f f f f i 2 0 2281 "2281 20" _null_ _null_ _null_ _null_ int8_avg_accum _null_ _null_ _null_ ));
DESCR("aggregate transition function");
+DATA(insert OID = 3567 ( int2_accum_inv PGNSP PGUID 12 1 0 0 0 f f f f f f i 2 0 2281 "2281 21" _null_ _null_ _null_ _null_ int2_accum_inv _null_ _null_ _null_ ));
+DESCR("aggregate transition function");
+DATA(insert OID = 3568 ( int4_accum_inv PGNSP PGUID 12 1 0 0 0 f f f f f f i 2 0 2281 "2281 23" _null_ _null_ _null_ _null_ int4_accum_inv _null_ _null_ _null_ ));
+DESCR("aggregate transition function");
+DATA(insert OID = 3569 ( int8_accum_inv PGNSP PGUID 12 1 0 0 0 f f f f f f i 2 0 2281 "2281 20" _null_ _null_ _null_ _null_ int8_accum_inv _null_ _null_ _null_ ));
+DESCR("aggregate transition function");
DATA(insert OID = 3178 ( numeric_sum PGNSP PGUID 12 1 0 0 0 f f f f f f i 1 0 1700 "2281" _null_ _null_ _null_ _null_ numeric_sum _null_ _null_ _null_ ));
DESCR("aggregate final function");
DATA(insert OID = 1837 ( numeric_avg PGNSP PGUID 12 1 0 0 0 f f f f f f i 1 0 1700 "2281" _null_ _null_ _null_ _null_ numeric_avg _null_ _null_ _null_ ));
DESCR("aggregate transition function");
DATA(insert OID = 1843 ( interval_accum PGNSP PGUID 12 1 0 0 0 f f f f t f i 2 0 1187 "1187 1186" _null_ _null_ _null_ _null_ interval_accum _null_ _null_ _null_ ));
DESCR("aggregate transition function");
+DATA(insert OID = 3549 ( interval_accum_inv PGNSP PGUID 12 1 0 0 0 f f f f t f i 2 0 1187 "1187 1186" _null_ _null_ _null_ _null_ interval_accum_inv _null_ _null_ _null_ ));
+DESCR("aggregate transition function");
DATA(insert OID = 1844 ( interval_avg PGNSP PGUID 12 1 0 0 0 f f f f t f i 1 0 1186 "1187" _null_ _null_ _null_ _null_ interval_avg _null_ _null_ _null_ ));
DESCR("aggregate final function");
DATA(insert OID = 1962 ( int2_avg_accum PGNSP PGUID 12 1 0 0 0 f f f f t f i 2 0 1016 "1016 21" _null_ _null_ _null_ _null_ int2_avg_accum _null_ _null_ _null_ ));
DESCR("aggregate transition function");
DATA(insert OID = 1963 ( int4_avg_accum PGNSP PGUID 12 1 0 0 0 f f f f t f i 2 0 1016 "1016 23" _null_ _null_ _null_ _null_ int4_avg_accum _null_ _null_ _null_ ));
DESCR("aggregate transition function");
+DATA(insert OID = 3570 ( int2_avg_accum_inv PGNSP PGUID 12 1 0 0 0 f f f f t f i 2 0 1016 "1016 21" _null_ _null_ _null_ _null_ int2_avg_accum_inv _null_ _null_ _null_ ));
+DESCR("aggregate transition function");
+DATA(insert OID = 3571 ( int4_avg_accum_inv PGNSP PGUID 12 1 0 0 0 f f f f t f i 2 0 1016 "1016 23" _null_ _null_ _null_ _null_ int4_avg_accum_inv _null_ _null_ _null_ ));
+DESCR("aggregate transition function");
DATA(insert OID = 1964 ( int8_avg PGNSP PGUID 12 1 0 0 0 f f f f t f i 1 0 1700 "1016" _null_ _null_ _null_ _null_ int8_avg _null_ _null_ _null_ ));
DESCR("aggregate final function");
+DATA(insert OID = 3572 ( int2int4_sum PGNSP PGUID 12 1 0 0 0 f f f f t f i 1 0 20 "1016" _null_ _null_ _null_ _null_ int2int4_sum _null_ _null_ _null_ ));
+DESCR("aggregate final function");
DATA(insert OID = 2805 ( int8inc_float8_float8 PGNSP PGUID 12 1 0 0 0 f f f f t f i 3 0 20 "20 701 701" _null_ _null_ _null_ _null_ int8inc_float8_float8 _null_ _null_ _null_ ));
DESCR("aggregate transition function");
DATA(insert OID = 2806 ( float8_regr_accum PGNSP PGUID 12 1 0 0 0 f f f f t f i 3 0 1022 "1022 701 701" _null_ _null_ _null_ _null_ float8_regr_accum _null_ _null_ _null_ ));
extern Datum numeric_float4(PG_FUNCTION_ARGS);
extern Datum numeric_accum(PG_FUNCTION_ARGS);
extern Datum numeric_avg_accum(PG_FUNCTION_ARGS);
+extern Datum numeric_accum_inv(PG_FUNCTION_ARGS);
extern Datum int2_accum(PG_FUNCTION_ARGS);
extern Datum int4_accum(PG_FUNCTION_ARGS);
extern Datum int8_accum(PG_FUNCTION_ARGS);
+extern Datum int2_accum_inv(PG_FUNCTION_ARGS);
+extern Datum int4_accum_inv(PG_FUNCTION_ARGS);
+extern Datum int8_accum_inv(PG_FUNCTION_ARGS);
extern Datum int8_avg_accum(PG_FUNCTION_ARGS);
extern Datum numeric_avg(PG_FUNCTION_ARGS);
extern Datum numeric_sum(PG_FUNCTION_ARGS);
extern Datum int8_sum(PG_FUNCTION_ARGS);
extern Datum int2_avg_accum(PG_FUNCTION_ARGS);
extern Datum int4_avg_accum(PG_FUNCTION_ARGS);
+extern Datum int2_avg_accum_inv(PG_FUNCTION_ARGS);
+extern Datum int4_avg_accum_inv(PG_FUNCTION_ARGS);
extern Datum int8_avg(PG_FUNCTION_ARGS);
+extern Datum int2int4_sum(PG_FUNCTION_ARGS);
extern Datum width_bucket_numeric(PG_FUNCTION_ARGS);
extern Datum hash_numeric(PG_FUNCTION_ARGS);
extern Datum int8abs(PG_FUNCTION_ARGS);
extern Datum int8mod(PG_FUNCTION_ARGS);
extern Datum int8inc(PG_FUNCTION_ARGS);
+extern Datum int8dec(PG_FUNCTION_ARGS);
extern Datum int8inc_any(PG_FUNCTION_ARGS);
extern Datum int8inc_float8_float8(PG_FUNCTION_ARGS);
+extern Datum int8dec_any(PG_FUNCTION_ARGS);
extern Datum int8larger(PG_FUNCTION_ARGS);
extern Datum int8smaller(PG_FUNCTION_ARGS);
extern Datum mul_d_interval(PG_FUNCTION_ARGS);
extern Datum interval_div(PG_FUNCTION_ARGS);
extern Datum interval_accum(PG_FUNCTION_ARGS);
+extern Datum interval_accum_inv(PG_FUNCTION_ARGS);
extern Datum interval_avg(PG_FUNCTION_ARGS);
extern Datum timestamp_mi(PG_FUNCTION_ARGS);
----------+---------+-----+---------
(0 rows)
--- transfn and mtransfn should have same strictness setting.
-SELECT a.aggfnoid::oid, p.proname, ptr.oid, ptr.proname, mptr.oid, mptr.proname
-FROM pg_aggregate AS a, pg_proc AS p, pg_proc AS ptr, pg_proc AS mptr
+-- mtransfn and minvtransfn should have same strictness setting.
+SELECT a.aggfnoid::oid, p.proname, ptr.oid, ptr.proname, iptr.oid, iptr.proname
+FROM pg_aggregate AS a, pg_proc AS p, pg_proc AS ptr, pg_proc AS iptr
WHERE a.aggfnoid = p.oid AND
- a.aggtransfn = ptr.oid AND
- a.aggmtransfn = mptr.oid AND
- ptr.proisstrict != mptr.proisstrict;
+ a.aggmtransfn = ptr.oid AND
+ a.aggminvtransfn = iptr.oid AND
+ ptr.proisstrict != iptr.proisstrict;
aggfnoid | proname | oid | proname | oid | proname
----------+---------+-----+---------+-----+---------
(0 rows)
t | t | t
(1 row)
+--
+-- Test various built-in aggregates that have moving-aggregate support
+--
+-- test inverse transition functions handle NULLs properly
+SELECT i,AVG(v::bigint) OVER (ORDER BY i ROWS BETWEEN CURRENT ROW AND UNBOUNDED FOLLOWING)
+ FROM (VALUES(1,1),(2,2),(3,NULL),(4,NULL)) t(i,v);
+ i | avg
+---+--------------------
+ 1 | 1.5000000000000000
+ 2 | 2.0000000000000000
+ 3 |
+ 4 |
+(4 rows)
+
+SELECT i,AVG(v::int) OVER (ORDER BY i ROWS BETWEEN CURRENT ROW AND UNBOUNDED FOLLOWING)
+ FROM (VALUES(1,1),(2,2),(3,NULL),(4,NULL)) t(i,v);
+ i | avg
+---+--------------------
+ 1 | 1.5000000000000000
+ 2 | 2.0000000000000000
+ 3 |
+ 4 |
+(4 rows)
+
+SELECT i,AVG(v::smallint) OVER (ORDER BY i ROWS BETWEEN CURRENT ROW AND UNBOUNDED FOLLOWING)
+ FROM (VALUES(1,1),(2,2),(3,NULL),(4,NULL)) t(i,v);
+ i | avg
+---+--------------------
+ 1 | 1.5000000000000000
+ 2 | 2.0000000000000000
+ 3 |
+ 4 |
+(4 rows)
+
+SELECT i,AVG(v::numeric) OVER (ORDER BY i ROWS BETWEEN CURRENT ROW AND UNBOUNDED FOLLOWING)
+ FROM (VALUES(1,1.5),(2,2.5),(3,NULL),(4,NULL)) t(i,v);
+ i | avg
+---+--------------------
+ 1 | 2.0000000000000000
+ 2 | 2.5000000000000000
+ 3 |
+ 4 |
+(4 rows)
+
+SELECT i,AVG(v::interval) OVER (ORDER BY i ROWS BETWEEN CURRENT ROW AND UNBOUNDED FOLLOWING)
+ FROM (VALUES(1,'1 sec'),(2,'2 sec'),(3,NULL),(4,NULL)) t(i,v);
+ i | avg
+---+------------
+ 1 | @ 1.5 secs
+ 2 | @ 2 secs
+ 3 |
+ 4 |
+(4 rows)
+
+SELECT i,SUM(v::smallint) OVER (ORDER BY i ROWS BETWEEN CURRENT ROW AND UNBOUNDED FOLLOWING)
+ FROM (VALUES(1,1),(2,2),(3,NULL),(4,NULL)) t(i,v);
+ i | sum
+---+-----
+ 1 | 3
+ 2 | 2
+ 3 |
+ 4 |
+(4 rows)
+
+SELECT i,SUM(v::int) OVER (ORDER BY i ROWS BETWEEN CURRENT ROW AND UNBOUNDED FOLLOWING)
+ FROM (VALUES(1,1),(2,2),(3,NULL),(4,NULL)) t(i,v);
+ i | sum
+---+-----
+ 1 | 3
+ 2 | 2
+ 3 |
+ 4 |
+(4 rows)
+
+SELECT i,SUM(v::bigint) OVER (ORDER BY i ROWS BETWEEN CURRENT ROW AND UNBOUNDED FOLLOWING)
+ FROM (VALUES(1,1),(2,2),(3,NULL),(4,NULL)) t(i,v);
+ i | sum
+---+-----
+ 1 | 3
+ 2 | 2
+ 3 |
+ 4 |
+(4 rows)
+
+SELECT i,SUM(v::money) OVER (ORDER BY i ROWS BETWEEN CURRENT ROW AND UNBOUNDED FOLLOWING)
+ FROM (VALUES(1,'1.10'),(2,'2.20'),(3,NULL),(4,NULL)) t(i,v);
+ i | sum
+---+-------
+ 1 | $3.30
+ 2 | $2.20
+ 3 |
+ 4 |
+(4 rows)
+
+SELECT i,SUM(v::interval) OVER (ORDER BY i ROWS BETWEEN CURRENT ROW AND UNBOUNDED FOLLOWING)
+ FROM (VALUES(1,'1 sec'),(2,'2 sec'),(3,NULL),(4,NULL)) t(i,v);
+ i | sum
+---+----------
+ 1 | @ 3 secs
+ 2 | @ 2 secs
+ 3 |
+ 4 |
+(4 rows)
+
+SELECT i,SUM(v::numeric) OVER (ORDER BY i ROWS BETWEEN CURRENT ROW AND UNBOUNDED FOLLOWING)
+ FROM (VALUES(1,1.1),(2,2.2),(3,NULL),(4,NULL)) t(i,v);
+ i | sum
+---+-----
+ 1 | 3.3
+ 2 | 2.2
+ 3 |
+ 4 |
+(4 rows)
+
+SELECT SUM(n::numeric) OVER (ORDER BY i ROWS BETWEEN CURRENT ROW AND UNBOUNDED FOLLOWING)
+ FROM (VALUES(1,1.01),(2,2),(3,3)) v(i,n);
+ sum
+------
+ 6.01
+ 5
+ 3
+(3 rows)
+
+SELECT i,COUNT(v) OVER (ORDER BY i ROWS BETWEEN CURRENT ROW AND UNBOUNDED FOLLOWING)
+ FROM (VALUES(1,1),(2,2),(3,NULL),(4,NULL)) t(i,v);
+ i | count
+---+-------
+ 1 | 2
+ 2 | 1
+ 3 | 0
+ 4 | 0
+(4 rows)
+
+SELECT i,COUNT(*) OVER (ORDER BY i ROWS BETWEEN CURRENT ROW AND UNBOUNDED FOLLOWING)
+ FROM (VALUES(1,1),(2,2),(3,NULL),(4,NULL)) t(i,v);
+ i | count
+---+-------
+ 1 | 4
+ 2 | 3
+ 3 | 2
+ 4 | 1
+(4 rows)
+
+SELECT VAR_POP(n::bigint) OVER (ORDER BY i ROWS BETWEEN CURRENT ROW AND UNBOUNDED FOLLOWING)
+ FROM (VALUES(1,600),(2,470),(3,170),(4,430),(5,300)) r(i,n);
+ var_pop
+-----------------------
+ 21704.000000000000
+ 13868.750000000000
+ 11266.666666666667
+ 4225.0000000000000000
+ 0
+(5 rows)
+
+SELECT VAR_POP(n::int) OVER (ORDER BY i ROWS BETWEEN CURRENT ROW AND UNBOUNDED FOLLOWING)
+ FROM (VALUES(1,600),(2,470),(3,170),(4,430),(5,300)) r(i,n);
+ var_pop
+-----------------------
+ 21704.000000000000
+ 13868.750000000000
+ 11266.666666666667
+ 4225.0000000000000000
+ 0
+(5 rows)
+
+SELECT VAR_POP(n::smallint) OVER (ORDER BY i ROWS BETWEEN CURRENT ROW AND UNBOUNDED FOLLOWING)
+ FROM (VALUES(1,600),(2,470),(3,170),(4,430),(5,300)) r(i,n);
+ var_pop
+-----------------------
+ 21704.000000000000
+ 13868.750000000000
+ 11266.666666666667
+ 4225.0000000000000000
+ 0
+(5 rows)
+
+SELECT VAR_POP(n::numeric) OVER (ORDER BY i ROWS BETWEEN CURRENT ROW AND UNBOUNDED FOLLOWING)
+ FROM (VALUES(1,600),(2,470),(3,170),(4,430),(5,300)) r(i,n);
+ var_pop
+-----------------------
+ 21704.000000000000
+ 13868.750000000000
+ 11266.666666666667
+ 4225.0000000000000000
+ 0
+(5 rows)
+
+SELECT VAR_SAMP(n::bigint) OVER (ORDER BY i ROWS BETWEEN CURRENT ROW AND UNBOUNDED FOLLOWING)
+ FROM (VALUES(1,600),(2,470),(3,170),(4,430),(5,300)) r(i,n);
+ var_samp
+-----------------------
+ 27130.000000000000
+ 18491.666666666667
+ 16900.000000000000
+ 8450.0000000000000000
+
+(5 rows)
+
+SELECT VAR_SAMP(n::int) OVER (ORDER BY i ROWS BETWEEN CURRENT ROW AND UNBOUNDED FOLLOWING)
+ FROM (VALUES(1,600),(2,470),(3,170),(4,430),(5,300)) r(i,n);
+ var_samp
+-----------------------
+ 27130.000000000000
+ 18491.666666666667
+ 16900.000000000000
+ 8450.0000000000000000
+
+(5 rows)
+
+SELECT VAR_SAMP(n::smallint) OVER (ORDER BY i ROWS BETWEEN CURRENT ROW AND UNBOUNDED FOLLOWING)
+ FROM (VALUES(1,600),(2,470),(3,170),(4,430),(5,300)) r(i,n);
+ var_samp
+-----------------------
+ 27130.000000000000
+ 18491.666666666667
+ 16900.000000000000
+ 8450.0000000000000000
+
+(5 rows)
+
+SELECT VAR_SAMP(n::numeric) OVER (ORDER BY i ROWS BETWEEN CURRENT ROW AND UNBOUNDED FOLLOWING)
+ FROM (VALUES(1,600),(2,470),(3,170),(4,430),(5,300)) r(i,n);
+ var_samp
+-----------------------
+ 27130.000000000000
+ 18491.666666666667
+ 16900.000000000000
+ 8450.0000000000000000
+
+(5 rows)
+
+SELECT VARIANCE(n::bigint) OVER (ORDER BY i ROWS BETWEEN CURRENT ROW AND UNBOUNDED FOLLOWING)
+ FROM (VALUES(1,600),(2,470),(3,170),(4,430),(5,300)) r(i,n);
+ variance
+-----------------------
+ 27130.000000000000
+ 18491.666666666667
+ 16900.000000000000
+ 8450.0000000000000000
+
+(5 rows)
+
+SELECT VARIANCE(n::int) OVER (ORDER BY i ROWS BETWEEN CURRENT ROW AND UNBOUNDED FOLLOWING)
+ FROM (VALUES(1,600),(2,470),(3,170),(4,430),(5,300)) r(i,n);
+ variance
+-----------------------
+ 27130.000000000000
+ 18491.666666666667
+ 16900.000000000000
+ 8450.0000000000000000
+
+(5 rows)
+
+SELECT VARIANCE(n::smallint) OVER (ORDER BY i ROWS BETWEEN CURRENT ROW AND UNBOUNDED FOLLOWING)
+ FROM (VALUES(1,600),(2,470),(3,170),(4,430),(5,300)) r(i,n);
+ variance
+-----------------------
+ 27130.000000000000
+ 18491.666666666667
+ 16900.000000000000
+ 8450.0000000000000000
+
+(5 rows)
+
+SELECT VARIANCE(n::numeric) OVER (ORDER BY i ROWS BETWEEN CURRENT ROW AND UNBOUNDED FOLLOWING)
+ FROM (VALUES(1,600),(2,470),(3,170),(4,430),(5,300)) r(i,n);
+ variance
+-----------------------
+ 27130.000000000000
+ 18491.666666666667
+ 16900.000000000000
+ 8450.0000000000000000
+
+(5 rows)
+
+SELECT STDDEV_POP(n::bigint) OVER (ORDER BY i ROWS BETWEEN CURRENT ROW AND UNBOUNDED FOLLOWING)
+ FROM (VALUES(1,NULL),(2,600),(3,470),(4,170),(5,430),(6,300)) r(i,n);
+ stddev_pop
+---------------------
+ 147.322774885623
+ 147.322774885623
+ 117.765657133139
+ 106.144555520604
+ 65.0000000000000000
+ 0
+(6 rows)
+
+SELECT STDDEV_POP(n::int) OVER (ORDER BY i ROWS BETWEEN CURRENT ROW AND UNBOUNDED FOLLOWING)
+ FROM (VALUES(1,NULL),(2,600),(3,470),(4,170),(5,430),(6,300)) r(i,n);
+ stddev_pop
+---------------------
+ 147.322774885623
+ 147.322774885623
+ 117.765657133139
+ 106.144555520604
+ 65.0000000000000000
+ 0
+(6 rows)
+
+SELECT STDDEV_POP(n::smallint) OVER (ORDER BY i ROWS BETWEEN CURRENT ROW AND UNBOUNDED FOLLOWING)
+ FROM (VALUES(1,NULL),(2,600),(3,470),(4,170),(5,430),(6,300)) r(i,n);
+ stddev_pop
+---------------------
+ 147.322774885623
+ 147.322774885623
+ 117.765657133139
+ 106.144555520604
+ 65.0000000000000000
+ 0
+(6 rows)
+
+SELECT STDDEV_POP(n::numeric) OVER (ORDER BY i ROWS BETWEEN CURRENT ROW AND UNBOUNDED FOLLOWING)
+ FROM (VALUES(1,NULL),(2,600),(3,470),(4,170),(5,430),(6,300)) r(i,n);
+ stddev_pop
+---------------------
+ 147.322774885623
+ 147.322774885623
+ 117.765657133139
+ 106.144555520604
+ 65.0000000000000000
+ 0
+(6 rows)
+
+SELECT STDDEV_SAMP(n::bigint) OVER (ORDER BY i ROWS BETWEEN CURRENT ROW AND UNBOUNDED FOLLOWING)
+ FROM (VALUES(1,NULL),(2,600),(3,470),(4,170),(5,430),(6,300)) r(i,n);
+ stddev_samp
+---------------------
+ 164.711869639076
+ 164.711869639076
+ 135.984067694222
+ 130.000000000000
+ 91.9238815542511782
+
+(6 rows)
+
+SELECT STDDEV_SAMP(n::int) OVER (ORDER BY i ROWS BETWEEN CURRENT ROW AND UNBOUNDED FOLLOWING)
+ FROM (VALUES(1,NULL),(2,600),(3,470),(4,170),(5,430),(6,300)) r(i,n);
+ stddev_samp
+---------------------
+ 164.711869639076
+ 164.711869639076
+ 135.984067694222
+ 130.000000000000
+ 91.9238815542511782
+
+(6 rows)
+
+SELECT STDDEV_SAMP(n::smallint) OVER (ORDER BY i ROWS BETWEEN CURRENT ROW AND UNBOUNDED FOLLOWING)
+ FROM (VALUES(1,NULL),(2,600),(3,470),(4,170),(5,430),(6,300)) r(i,n);
+ stddev_samp
+---------------------
+ 164.711869639076
+ 164.711869639076
+ 135.984067694222
+ 130.000000000000
+ 91.9238815542511782
+
+(6 rows)
+
+SELECT STDDEV_SAMP(n::numeric) OVER (ORDER BY i ROWS BETWEEN CURRENT ROW AND UNBOUNDED FOLLOWING)
+ FROM (VALUES(1,NULL),(2,600),(3,470),(4,170),(5,430),(6,300)) r(i,n);
+ stddev_samp
+---------------------
+ 164.711869639076
+ 164.711869639076
+ 135.984067694222
+ 130.000000000000
+ 91.9238815542511782
+
+(6 rows)
+
+SELECT STDDEV(n::bigint) OVER (ORDER BY i ROWS BETWEEN CURRENT ROW AND UNBOUNDED FOLLOWING)
+ FROM (VALUES(0,NULL),(1,600),(2,470),(3,170),(4,430),(5,300)) r(i,n);
+ stddev
+---------------------
+ 164.711869639076
+ 164.711869639076
+ 135.984067694222
+ 130.000000000000
+ 91.9238815542511782
+
+(6 rows)
+
+SELECT STDDEV(n::int) OVER (ORDER BY i ROWS BETWEEN CURRENT ROW AND UNBOUNDED FOLLOWING)
+ FROM (VALUES(0,NULL),(1,600),(2,470),(3,170),(4,430),(5,300)) r(i,n);
+ stddev
+---------------------
+ 164.711869639076
+ 164.711869639076
+ 135.984067694222
+ 130.000000000000
+ 91.9238815542511782
+
+(6 rows)
+
+SELECT STDDEV(n::smallint) OVER (ORDER BY i ROWS BETWEEN CURRENT ROW AND UNBOUNDED FOLLOWING)
+ FROM (VALUES(0,NULL),(1,600),(2,470),(3,170),(4,430),(5,300)) r(i,n);
+ stddev
+---------------------
+ 164.711869639076
+ 164.711869639076
+ 135.984067694222
+ 130.000000000000
+ 91.9238815542511782
+
+(6 rows)
+
+SELECT STDDEV(n::numeric) OVER (ORDER BY i ROWS BETWEEN CURRENT ROW AND UNBOUNDED FOLLOWING)
+ FROM (VALUES(0,NULL),(1,600),(2,470),(3,170),(4,430),(5,300)) r(i,n);
+ stddev
+---------------------
+ 164.711869639076
+ 164.711869639076
+ 135.984067694222
+ 130.000000000000
+ 91.9238815542511782
+
+(6 rows)
+
+-- test that inverse transition functions work with various frame options
+SELECT i,SUM(v::int) OVER (ORDER BY i ROWS BETWEEN CURRENT ROW AND CURRENT ROW)
+ FROM (VALUES(1,1),(2,2),(3,NULL),(4,NULL)) t(i,v);
+ i | sum
+---+-----
+ 1 | 1
+ 2 | 2
+ 3 |
+ 4 |
+(4 rows)
+
+SELECT i,SUM(v::int) OVER (ORDER BY i ROWS BETWEEN CURRENT ROW AND 1 FOLLOWING)
+ FROM (VALUES(1,1),(2,2),(3,NULL),(4,NULL)) t(i,v);
+ i | sum
+---+-----
+ 1 | 3
+ 2 | 2
+ 3 |
+ 4 |
+(4 rows)
+
+SELECT i,SUM(v::int) OVER (ORDER BY i ROWS BETWEEN 1 PRECEDING AND 1 FOLLOWING)
+ FROM (VALUES(1,1),(2,2),(3,3),(4,4)) t(i,v);
+ i | sum
+---+-----
+ 1 | 3
+ 2 | 6
+ 3 | 9
+ 4 | 7
+(4 rows)
+
+-- ensure aggregate over numeric properly recovers from NaN values
+SELECT a, b,
+ SUM(b) OVER(ORDER BY A ROWS BETWEEN 1 PRECEDING AND CURRENT ROW)
+FROM (VALUES(1,1::numeric),(2,2),(3,'NaN'),(4,3),(5,4)) t(a,b);
+ a | b | sum
+---+-----+-----
+ 1 | 1 | 1
+ 2 | 2 | 3
+ 3 | NaN | NaN
+ 4 | 3 | NaN
+ 5 | 4 | 7
+(5 rows)
+
+-- It might be tempting for someone to add an inverse trans function for
+-- float and double precision. This should not be done as it can give incorrect
+-- results. This test should fail if anyone ever does this without thinking too
+-- hard about it.
+SELECT to_char(SUM(n::float8) OVER (ORDER BY i ROWS BETWEEN CURRENT ROW AND 1 FOLLOWING),'999999999999999999999D9')
+ FROM (VALUES(1,1e20),(2,1)) n(i,n);
+ to_char
+--------------------------
+ 100000000000000000000
+ 1.0
+(2 rows)
+
a.aggminitval IS NULL AND
NOT binary_coercible(p.proargtypes[0], a.aggmtranstype);
--- transfn and mtransfn should have same strictness setting.
+-- mtransfn and minvtransfn should have same strictness setting.
-SELECT a.aggfnoid::oid, p.proname, ptr.oid, ptr.proname, mptr.oid, mptr.proname
-FROM pg_aggregate AS a, pg_proc AS p, pg_proc AS ptr, pg_proc AS mptr
+SELECT a.aggfnoid::oid, p.proname, ptr.oid, ptr.proname, iptr.oid, iptr.proname
+FROM pg_aggregate AS a, pg_proc AS p, pg_proc AS ptr, pg_proc AS iptr
WHERE a.aggfnoid = p.oid AND
- a.aggtransfn = ptr.oid AND
- a.aggmtransfn = mptr.oid AND
- ptr.proisstrict != mptr.proisstrict;
+ a.aggmtransfn = ptr.oid AND
+ a.aggminvtransfn = iptr.oid AND
+ ptr.proisstrict != iptr.proisstrict;
-- Cross-check aggsortop (if present) against pg_operator.
-- We expect to find entries for bool_and, bool_or, every, max, and min.
WINDOW fwd AS (
ORDER BY vs.i ROWS BETWEEN CURRENT ROW AND UNBOUNDED FOLLOWING
);
+
+--
+-- Test various built-in aggregates that have moving-aggregate support
+--
+
+-- test inverse transition functions handle NULLs properly
+SELECT i,AVG(v::bigint) OVER (ORDER BY i ROWS BETWEEN CURRENT ROW AND UNBOUNDED FOLLOWING)
+ FROM (VALUES(1,1),(2,2),(3,NULL),(4,NULL)) t(i,v);
+
+SELECT i,AVG(v::int) OVER (ORDER BY i ROWS BETWEEN CURRENT ROW AND UNBOUNDED FOLLOWING)
+ FROM (VALUES(1,1),(2,2),(3,NULL),(4,NULL)) t(i,v);
+
+SELECT i,AVG(v::smallint) OVER (ORDER BY i ROWS BETWEEN CURRENT ROW AND UNBOUNDED FOLLOWING)
+ FROM (VALUES(1,1),(2,2),(3,NULL),(4,NULL)) t(i,v);
+
+SELECT i,AVG(v::numeric) OVER (ORDER BY i ROWS BETWEEN CURRENT ROW AND UNBOUNDED FOLLOWING)
+ FROM (VALUES(1,1.5),(2,2.5),(3,NULL),(4,NULL)) t(i,v);
+
+SELECT i,AVG(v::interval) OVER (ORDER BY i ROWS BETWEEN CURRENT ROW AND UNBOUNDED FOLLOWING)
+ FROM (VALUES(1,'1 sec'),(2,'2 sec'),(3,NULL),(4,NULL)) t(i,v);
+
+SELECT i,SUM(v::smallint) OVER (ORDER BY i ROWS BETWEEN CURRENT ROW AND UNBOUNDED FOLLOWING)
+ FROM (VALUES(1,1),(2,2),(3,NULL),(4,NULL)) t(i,v);
+
+SELECT i,SUM(v::int) OVER (ORDER BY i ROWS BETWEEN CURRENT ROW AND UNBOUNDED FOLLOWING)
+ FROM (VALUES(1,1),(2,2),(3,NULL),(4,NULL)) t(i,v);
+
+SELECT i,SUM(v::bigint) OVER (ORDER BY i ROWS BETWEEN CURRENT ROW AND UNBOUNDED FOLLOWING)
+ FROM (VALUES(1,1),(2,2),(3,NULL),(4,NULL)) t(i,v);
+
+SELECT i,SUM(v::money) OVER (ORDER BY i ROWS BETWEEN CURRENT ROW AND UNBOUNDED FOLLOWING)
+ FROM (VALUES(1,'1.10'),(2,'2.20'),(3,NULL),(4,NULL)) t(i,v);
+
+SELECT i,SUM(v::interval) OVER (ORDER BY i ROWS BETWEEN CURRENT ROW AND UNBOUNDED FOLLOWING)
+ FROM (VALUES(1,'1 sec'),(2,'2 sec'),(3,NULL),(4,NULL)) t(i,v);
+
+SELECT i,SUM(v::numeric) OVER (ORDER BY i ROWS BETWEEN CURRENT ROW AND UNBOUNDED FOLLOWING)
+ FROM (VALUES(1,1.1),(2,2.2),(3,NULL),(4,NULL)) t(i,v);
+
+SELECT SUM(n::numeric) OVER (ORDER BY i ROWS BETWEEN CURRENT ROW AND UNBOUNDED FOLLOWING)
+ FROM (VALUES(1,1.01),(2,2),(3,3)) v(i,n);
+
+SELECT i,COUNT(v) OVER (ORDER BY i ROWS BETWEEN CURRENT ROW AND UNBOUNDED FOLLOWING)
+ FROM (VALUES(1,1),(2,2),(3,NULL),(4,NULL)) t(i,v);
+
+SELECT i,COUNT(*) OVER (ORDER BY i ROWS BETWEEN CURRENT ROW AND UNBOUNDED FOLLOWING)
+ FROM (VALUES(1,1),(2,2),(3,NULL),(4,NULL)) t(i,v);
+
+SELECT VAR_POP(n::bigint) OVER (ORDER BY i ROWS BETWEEN CURRENT ROW AND UNBOUNDED FOLLOWING)
+ FROM (VALUES(1,600),(2,470),(3,170),(4,430),(5,300)) r(i,n);
+
+SELECT VAR_POP(n::int) OVER (ORDER BY i ROWS BETWEEN CURRENT ROW AND UNBOUNDED FOLLOWING)
+ FROM (VALUES(1,600),(2,470),(3,170),(4,430),(5,300)) r(i,n);
+
+SELECT VAR_POP(n::smallint) OVER (ORDER BY i ROWS BETWEEN CURRENT ROW AND UNBOUNDED FOLLOWING)
+ FROM (VALUES(1,600),(2,470),(3,170),(4,430),(5,300)) r(i,n);
+
+SELECT VAR_POP(n::numeric) OVER (ORDER BY i ROWS BETWEEN CURRENT ROW AND UNBOUNDED FOLLOWING)
+ FROM (VALUES(1,600),(2,470),(3,170),(4,430),(5,300)) r(i,n);
+
+SELECT VAR_SAMP(n::bigint) OVER (ORDER BY i ROWS BETWEEN CURRENT ROW AND UNBOUNDED FOLLOWING)
+ FROM (VALUES(1,600),(2,470),(3,170),(4,430),(5,300)) r(i,n);
+
+SELECT VAR_SAMP(n::int) OVER (ORDER BY i ROWS BETWEEN CURRENT ROW AND UNBOUNDED FOLLOWING)
+ FROM (VALUES(1,600),(2,470),(3,170),(4,430),(5,300)) r(i,n);
+
+SELECT VAR_SAMP(n::smallint) OVER (ORDER BY i ROWS BETWEEN CURRENT ROW AND UNBOUNDED FOLLOWING)
+ FROM (VALUES(1,600),(2,470),(3,170),(4,430),(5,300)) r(i,n);
+
+SELECT VAR_SAMP(n::numeric) OVER (ORDER BY i ROWS BETWEEN CURRENT ROW AND UNBOUNDED FOLLOWING)
+ FROM (VALUES(1,600),(2,470),(3,170),(4,430),(5,300)) r(i,n);
+
+SELECT VARIANCE(n::bigint) OVER (ORDER BY i ROWS BETWEEN CURRENT ROW AND UNBOUNDED FOLLOWING)
+ FROM (VALUES(1,600),(2,470),(3,170),(4,430),(5,300)) r(i,n);
+
+SELECT VARIANCE(n::int) OVER (ORDER BY i ROWS BETWEEN CURRENT ROW AND UNBOUNDED FOLLOWING)
+ FROM (VALUES(1,600),(2,470),(3,170),(4,430),(5,300)) r(i,n);
+
+SELECT VARIANCE(n::smallint) OVER (ORDER BY i ROWS BETWEEN CURRENT ROW AND UNBOUNDED FOLLOWING)
+ FROM (VALUES(1,600),(2,470),(3,170),(4,430),(5,300)) r(i,n);
+
+SELECT VARIANCE(n::numeric) OVER (ORDER BY i ROWS BETWEEN CURRENT ROW AND UNBOUNDED FOLLOWING)
+ FROM (VALUES(1,600),(2,470),(3,170),(4,430),(5,300)) r(i,n);
+
+SELECT STDDEV_POP(n::bigint) OVER (ORDER BY i ROWS BETWEEN CURRENT ROW AND UNBOUNDED FOLLOWING)
+ FROM (VALUES(1,NULL),(2,600),(3,470),(4,170),(5,430),(6,300)) r(i,n);
+
+SELECT STDDEV_POP(n::int) OVER (ORDER BY i ROWS BETWEEN CURRENT ROW AND UNBOUNDED FOLLOWING)
+ FROM (VALUES(1,NULL),(2,600),(3,470),(4,170),(5,430),(6,300)) r(i,n);
+
+SELECT STDDEV_POP(n::smallint) OVER (ORDER BY i ROWS BETWEEN CURRENT ROW AND UNBOUNDED FOLLOWING)
+ FROM (VALUES(1,NULL),(2,600),(3,470),(4,170),(5,430),(6,300)) r(i,n);
+
+SELECT STDDEV_POP(n::numeric) OVER (ORDER BY i ROWS BETWEEN CURRENT ROW AND UNBOUNDED FOLLOWING)
+ FROM (VALUES(1,NULL),(2,600),(3,470),(4,170),(5,430),(6,300)) r(i,n);
+
+SELECT STDDEV_SAMP(n::bigint) OVER (ORDER BY i ROWS BETWEEN CURRENT ROW AND UNBOUNDED FOLLOWING)
+ FROM (VALUES(1,NULL),(2,600),(3,470),(4,170),(5,430),(6,300)) r(i,n);
+
+SELECT STDDEV_SAMP(n::int) OVER (ORDER BY i ROWS BETWEEN CURRENT ROW AND UNBOUNDED FOLLOWING)
+ FROM (VALUES(1,NULL),(2,600),(3,470),(4,170),(5,430),(6,300)) r(i,n);
+
+SELECT STDDEV_SAMP(n::smallint) OVER (ORDER BY i ROWS BETWEEN CURRENT ROW AND UNBOUNDED FOLLOWING)
+ FROM (VALUES(1,NULL),(2,600),(3,470),(4,170),(5,430),(6,300)) r(i,n);
+
+SELECT STDDEV_SAMP(n::numeric) OVER (ORDER BY i ROWS BETWEEN CURRENT ROW AND UNBOUNDED FOLLOWING)
+ FROM (VALUES(1,NULL),(2,600),(3,470),(4,170),(5,430),(6,300)) r(i,n);
+
+SELECT STDDEV(n::bigint) OVER (ORDER BY i ROWS BETWEEN CURRENT ROW AND UNBOUNDED FOLLOWING)
+ FROM (VALUES(0,NULL),(1,600),(2,470),(3,170),(4,430),(5,300)) r(i,n);
+
+SELECT STDDEV(n::int) OVER (ORDER BY i ROWS BETWEEN CURRENT ROW AND UNBOUNDED FOLLOWING)
+ FROM (VALUES(0,NULL),(1,600),(2,470),(3,170),(4,430),(5,300)) r(i,n);
+
+SELECT STDDEV(n::smallint) OVER (ORDER BY i ROWS BETWEEN CURRENT ROW AND UNBOUNDED FOLLOWING)
+ FROM (VALUES(0,NULL),(1,600),(2,470),(3,170),(4,430),(5,300)) r(i,n);
+
+SELECT STDDEV(n::numeric) OVER (ORDER BY i ROWS BETWEEN CURRENT ROW AND UNBOUNDED FOLLOWING)
+ FROM (VALUES(0,NULL),(1,600),(2,470),(3,170),(4,430),(5,300)) r(i,n);
+
+-- test that inverse transition functions work with various frame options
+SELECT i,SUM(v::int) OVER (ORDER BY i ROWS BETWEEN CURRENT ROW AND CURRENT ROW)
+ FROM (VALUES(1,1),(2,2),(3,NULL),(4,NULL)) t(i,v);
+
+SELECT i,SUM(v::int) OVER (ORDER BY i ROWS BETWEEN CURRENT ROW AND 1 FOLLOWING)
+ FROM (VALUES(1,1),(2,2),(3,NULL),(4,NULL)) t(i,v);
+
+SELECT i,SUM(v::int) OVER (ORDER BY i ROWS BETWEEN 1 PRECEDING AND 1 FOLLOWING)
+ FROM (VALUES(1,1),(2,2),(3,3),(4,4)) t(i,v);
+
+-- ensure aggregate over numeric properly recovers from NaN values
+SELECT a, b,
+ SUM(b) OVER(ORDER BY A ROWS BETWEEN 1 PRECEDING AND CURRENT ROW)
+FROM (VALUES(1,1::numeric),(2,2),(3,'NaN'),(4,3),(5,4)) t(a,b);
+
+-- It might be tempting for someone to add an inverse trans function for
+-- float and double precision. This should not be done as it can give incorrect
+-- results. This test should fail if anyone ever does this without thinking too
+-- hard about it.
+SELECT to_char(SUM(n::float8) OVER (ORDER BY i ROWS BETWEEN CURRENT ROW AND 1 FOLLOWING),'999999999999999999999D9')
+ FROM (VALUES(1,1e20),(2,1)) n(i,n);
projects / postgresql / commitdiff