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Rename roundBankers

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This commit is contained in:
hcz 2019-12-13 22:50:14 +08:00
parent 3a18d6b494
commit 6171e8b70c
6 changed files with 53 additions and 111 deletions
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2
dbms/src/Functions/FunctionsRound.cpp
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@ -7,7 +7,7 @@ namespace DB
void registerFunctionsRound(FunctionFactory & factory)
{
factory.registerFunction<FunctionRound>("round", FunctionFactory::CaseInsensitive);
factory.registerFunction<FunctionBankersRound>("bankersRound", FunctionFactory::CaseInsensitive);
factory.registerFunction<FunctionRoundBankers>("roundBankers", FunctionFactory::CaseInsensitive);
factory.registerFunction<FunctionFloor>("floor", FunctionFactory::CaseInsensitive);
factory.registerFunction<FunctionCeil>("ceil", FunctionFactory::CaseInsensitive);
factory.registerFunction<FunctionTrunc>("trunc", FunctionFactory::CaseInsensitive);

6
dbms/src/Functions/FunctionsRound.h
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@ -37,7 +37,7 @@ namespace ErrorCodes
/** Rounding Functions:
* round(x, N) - rounding to nearest (N = 0 by default). Use banker's rounding for floating point numbers.
* bankersRound(x, N) - rounding to nearest (N = 0 by default). Use banker's rounding for all numbers.
* roundBankers(x, N) - rounding to nearest (N = 0 by default). Use banker's rounding for all numbers.
* floor(x, N) is the largest number <= x (N = 0 by default).
* ceil(x, N) is the smallest number >= x (N = 0 by default).
* trunc(x, N) - is the largest by absolute value number that is not greater than x by absolute value (N = 0 by default).
@ -740,13 +740,13 @@ private:
struct NameRound { static constexpr auto name = "round"; };
struct NameBankersRound { static constexpr auto name = "bankersRound"; };
struct NameRoundBankers { static constexpr auto name = "roundBankers"; };
struct NameCeil { static constexpr auto name = "ceil"; };
struct NameFloor { static constexpr auto name = "floor"; };
struct NameTrunc { static constexpr auto name = "trunc"; };
using FunctionRound = FunctionRounding<NameRound, RoundingMode::Round, TieBreakingMode::Auto>;
using FunctionBankersRound = FunctionRounding<NameBankersRound, RoundingMode::Round, TieBreakingMode::Bankers>;
using FunctionRoundBankers = FunctionRounding<NameRoundBankers, RoundingMode::Round, TieBreakingMode::Bankers>;
using FunctionFloor = FunctionRounding<NameFloor, RoundingMode::Floor, TieBreakingMode::Auto>;
using FunctionCeil = FunctionRounding<NameCeil, RoundingMode::Ceil, TieBreakingMode::Auto>;
using FunctionTrunc = FunctionRounding<NameTrunc, RoundingMode::Trunc, TieBreakingMode::Auto>;

23
dbms/tests/performance/roundDown.xml
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@ -1,23 +0,0 @@
<test>
<type>once</type>
<stop_conditions>
<all_of>
<total_time_ms>10000</total_time_ms>
</all_of>
<any_of>
<average_speed_not_changing_for_ms>5000</average_speed_not_changing_for_ms>
<total_time_ms>20000</total_time_ms>
</any_of>
</stop_conditions>
<main_metric>
<avg_rows_per_second/>
</main_metric>
<query>SELECT count() FROM system.numbers WHERE NOT ignore(roundDuration(rand() % 65536))</query>
<query>SELECT count() FROM system.numbers WHERE NOT ignore(roundDown(rand() % 65536, [0, 1, 10, 30, 60, 120, 180, 240, 300, 600, 1200, 1800, 3600, 7200, 18000, 36000]))</query>
<query>SELECT count() FROM system.numbers WHERE NOT ignore(roundAge(rand() % 100))</query>
<query>SELECT count() FROM system.numbers WHERE NOT ignore(roundDown(rand() % 100, [0, 1, 18, 25, 35, 45, 55]))</query>
<query>SELECT count() FROM system.numbers WHERE NOT ignore(roundDown(rand() % 65536, (SELECT groupArray(number) FROM numbers(65536))))</query>
</test>

35
dbms/tests/performance/roundMethods.xml
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@ -1,35 +0,0 @@
<test>
<type>once</type>
<stop_conditions>
<all_of>
<total_time_ms>10000</total_time_ms>
</all_of>
<any_of>
<average_speed_not_changing_for_ms>5000</average_speed_not_changing_for_ms>
<total_time_ms>20000</total_time_ms>
</any_of>
</stop_conditions>
<main_metric>
<avg_rows_per_second/>
</main_metric>
<query>SELECT count() FROM system.numbers WHERE NOT ignore(round(toInt64(number), -2))</query>
<query>SELECT count() FROM system.numbers WHERE NOT ignore(bankersRound(toInt64(number), -2))</query>
<query>SELECT count() FROM system.numbers WHERE NOT ignore(floor(toInt64(number), -2))</query>
<query>SELECT count() FROM system.numbers WHERE NOT ignore(ceil(toInt64(number), -2))</query>
<query>SELECT count() FROM system.numbers WHERE NOT ignore(trunc(toInt64(number), -2))</query>
<query>SELECT count() FROM system.numbers WHERE NOT ignore(round(toFloat64(number), -2))</query>
<query>SELECT count() FROM system.numbers WHERE NOT ignore(bankersRound(toFloat64(number), -2))</query>
<query>SELECT count() FROM system.numbers WHERE NOT ignore(floor(toFloat64(number), -2))</query>
<query>SELECT count() FROM system.numbers WHERE NOT ignore(ceil(toFloat64(number), -2))</query>
<query>SELECT count() FROM system.numbers WHERE NOT ignore(trunc(toFloat64(number), -2))</query>
<query>SELECT count() FROM system.numbers WHERE NOT ignore(round(toDecimal128(number, 0), -2))</query>
<query>SELECT count() FROM system.numbers WHERE NOT ignore(bankersRound(toDecimal128(number, 0), -2))</query>
<query>SELECT count() FROM system.numbers WHERE NOT ignore(floor(toDecimal128(number, 0), -2))</query>
<query>SELECT count() FROM system.numbers WHERE NOT ignore(ceil(toDecimal128(number, 0), -2))</query>
<query>SELECT count() FROM system.numbers WHERE NOT ignore(trunc(toDecimal128(number, 0), -2))</query>
</test>

68
dbms/tests/queries/0_stateless/00161_rounding_functions.sql
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@ -1,41 +1,41 @@
SELECT toUInt8(number) AS x, round(x), bankersRound(x), floor(x), ceil(x), trunc(x) FROM system.numbers LIMIT 20;
SELECT toUInt16(number) AS x, round(x), bankersRound(x), floor(x), ceil(x), trunc(x) FROM system.numbers LIMIT 20;
SELECT toUInt32(number) AS x, round(x), bankersRound(x), floor(x), ceil(x), trunc(x) FROM system.numbers LIMIT 20;
SELECT toUInt64(number) AS x, round(x), bankersRound(x), floor(x), ceil(x), trunc(x) FROM system.numbers LIMIT 20;
SELECT toInt8(number - 10) AS x, round(x), bankersRound(x), floor(x), ceil(x), trunc(x) FROM system.numbers LIMIT 20;
SELECT toInt16(number - 10) AS x, round(x), bankersRound(x), floor(x), ceil(x), trunc(x) FROM system.numbers LIMIT 20;
SELECT toInt32(number - 10) AS x, round(x), bankersRound(x), floor(x), ceil(x), trunc(x) FROM system.numbers LIMIT 20;
SELECT toInt64(number - 10) AS x, round(x), bankersRound(x), floor(x), ceil(x), trunc(x) FROM system.numbers LIMIT 20;
SELECT toFloat32(number - 10) AS x, round(x), bankersRound(x), floor(x), ceil(x), trunc(x) FROM system.numbers LIMIT 20;
SELECT toFloat64(number - 10) AS x, round(x), bankersRound(x), floor(x), ceil(x), trunc(x) FROM system.numbers LIMIT 20;
SELECT toUInt8(number) AS x, round(x), roundBankers(x), floor(x), ceil(x), trunc(x) FROM system.numbers LIMIT 20;
SELECT toUInt16(number) AS x, round(x), roundBankers(x), floor(x), ceil(x), trunc(x) FROM system.numbers LIMIT 20;
SELECT toUInt32(number) AS x, round(x), roundBankers(x), floor(x), ceil(x), trunc(x) FROM system.numbers LIMIT 20;
SELECT toUInt64(number) AS x, round(x), roundBankers(x), floor(x), ceil(x), trunc(x) FROM system.numbers LIMIT 20;
SELECT toInt8(number - 10) AS x, round(x), roundBankers(x), floor(x), ceil(x), trunc(x) FROM system.numbers LIMIT 20;
SELECT toInt16(number - 10) AS x, round(x), roundBankers(x), floor(x), ceil(x), trunc(x) FROM system.numbers LIMIT 20;
SELECT toInt32(number - 10) AS x, round(x), roundBankers(x), floor(x), ceil(x), trunc(x) FROM system.numbers LIMIT 20;
SELECT toInt64(number - 10) AS x, round(x), roundBankers(x), floor(x), ceil(x), trunc(x) FROM system.numbers LIMIT 20;
SELECT toFloat32(number - 10) AS x, round(x), roundBankers(x), floor(x), ceil(x), trunc(x) FROM system.numbers LIMIT 20;
SELECT toFloat64(number - 10) AS x, round(x), roundBankers(x), floor(x), ceil(x), trunc(x) FROM system.numbers LIMIT 20;
SELECT toFloat32((number - 10) / 10) AS x, round(x), bankersRound(x), floor(x), ceil(x), trunc(x) FROM system.numbers LIMIT 20;
SELECT toFloat64((number - 10) / 10) AS x, round(x), bankersRound(x), floor(x), ceil(x), trunc(x) FROM system.numbers LIMIT 20;
SELECT toFloat32((number - 10) / 10) AS x, round(x), roundBankers(x), floor(x), ceil(x), trunc(x) FROM system.numbers LIMIT 20;
SELECT toFloat64((number - 10) / 10) AS x, round(x), roundBankers(x), floor(x), ceil(x), trunc(x) FROM system.numbers LIMIT 20;
SELECT toFloat32((number - 10) / 10) AS x, round(x, 1), bankersRound(x, 1), floor(x, 1), ceil(x, 1), trunc(x, 1) FROM system.numbers LIMIT 20;
SELECT toFloat64((number - 10) / 10) AS x, round(x, 1), bankersRound(x, 1), floor(x, 1), ceil(x, 1), trunc(x, 1) FROM system.numbers LIMIT 20;
SELECT toFloat32((number - 10) / 10) AS x, round(x, 1), roundBankers(x, 1), floor(x, 1), ceil(x, 1), trunc(x, 1) FROM system.numbers LIMIT 20;
SELECT toFloat64((number - 10) / 10) AS x, round(x, 1), roundBankers(x, 1), floor(x, 1), ceil(x, 1), trunc(x, 1) FROM system.numbers LIMIT 20;
SELECT toUInt8(number) AS x, round(x, -1), bankersRound(x, -1), floor(x, -1), ceil(x, -1), trunc(x, -1) FROM system.numbers LIMIT 20;
SELECT toUInt16(number) AS x, round(x, -1), bankersRound(x, -1), floor(x, -1), ceil(x, -1), trunc(x, -1) FROM system.numbers LIMIT 20;
SELECT toUInt32(number) AS x, round(x, -1), bankersRound(x, -1), floor(x, -1), ceil(x, -1), trunc(x, -1) FROM system.numbers LIMIT 20;
SELECT toUInt64(number) AS x, round(x, -1), bankersRound(x, -1), floor(x, -1), ceil(x, -1), trunc(x, -1) FROM system.numbers LIMIT 20;
SELECT toInt8(number - 10) AS x, round(x, -1), bankersRound(x, -1), floor(x, -1), ceil(x, -1), trunc(x, -1) FROM system.numbers LIMIT 20;
SELECT toInt16(number - 10) AS x, round(x, -1), bankersRound(x, -1), floor(x, -1), ceil(x, -1), trunc(x, -1) FROM system.numbers LIMIT 20;
SELECT toInt32(number - 10) AS x, round(x, -1), bankersRound(x, -1), floor(x, -1), ceil(x, -1), trunc(x, -1) FROM system.numbers LIMIT 20;
SELECT toInt64(number - 10) AS x, round(x, -1), bankersRound(x, -1), floor(x, -1), ceil(x, -1), trunc(x, -1) FROM system.numbers LIMIT 20;
SELECT toFloat32(number - 10) AS x, round(x, -1), bankersRound(x, -1), floor(x, -1), ceil(x, -1), trunc(x, -1) FROM system.numbers LIMIT 20;
SELECT toFloat64(number - 10) AS x, round(x, -1), bankersRound(x, -1), floor(x, -1), ceil(x, -1), trunc(x, -1) FROM system.numbers LIMIT 20;
SELECT toUInt8(number) AS x, round(x, -1), roundBankers(x, -1), floor(x, -1), ceil(x, -1), trunc(x, -1) FROM system.numbers LIMIT 20;
SELECT toUInt16(number) AS x, round(x, -1), roundBankers(x, -1), floor(x, -1), ceil(x, -1), trunc(x, -1) FROM system.numbers LIMIT 20;
SELECT toUInt32(number) AS x, round(x, -1), roundBankers(x, -1), floor(x, -1), ceil(x, -1), trunc(x, -1) FROM system.numbers LIMIT 20;
SELECT toUInt64(number) AS x, round(x, -1), roundBankers(x, -1), floor(x, -1), ceil(x, -1), trunc(x, -1) FROM system.numbers LIMIT 20;
SELECT toInt8(number - 10) AS x, round(x, -1), roundBankers(x, -1), floor(x, -1), ceil(x, -1), trunc(x, -1) FROM system.numbers LIMIT 20;
SELECT toInt16(number - 10) AS x, round(x, -1), roundBankers(x, -1), floor(x, -1), ceil(x, -1), trunc(x, -1) FROM system.numbers LIMIT 20;
SELECT toInt32(number - 10) AS x, round(x, -1), roundBankers(x, -1), floor(x, -1), ceil(x, -1), trunc(x, -1) FROM system.numbers LIMIT 20;
SELECT toInt64(number - 10) AS x, round(x, -1), roundBankers(x, -1), floor(x, -1), ceil(x, -1), trunc(x, -1) FROM system.numbers LIMIT 20;
SELECT toFloat32(number - 10) AS x, round(x, -1), roundBankers(x, -1), floor(x, -1), ceil(x, -1), trunc(x, -1) FROM system.numbers LIMIT 20;
SELECT toFloat64(number - 10) AS x, round(x, -1), roundBankers(x, -1), floor(x, -1), ceil(x, -1), trunc(x, -1) FROM system.numbers LIMIT 20;
SELECT toUInt8(number) AS x, round(x, -2), bankersRound(x, -2), floor(x, -2), ceil(x, -2), trunc(x, -2) FROM system.numbers LIMIT 20;
SELECT toUInt16(number) AS x, round(x, -2), bankersRound(x, -2), floor(x, -2), ceil(x, -2), trunc(x, -2) FROM system.numbers LIMIT 20;
SELECT toUInt32(number) AS x, round(x, -2), bankersRound(x, -2), floor(x, -2), ceil(x, -2), trunc(x, -2) FROM system.numbers LIMIT 20;
SELECT toUInt64(number) AS x, round(x, -2), bankersRound(x, -2), floor(x, -2), ceil(x, -2), trunc(x, -2) FROM system.numbers LIMIT 20;
SELECT toInt8(number - 10) AS x, round(x, -2), bankersRound(x, -2), floor(x, -2), ceil(x, -2), trunc(x, -2) FROM system.numbers LIMIT 20;
SELECT toInt16(number - 10) AS x, round(x, -2), bankersRound(x, -2), floor(x, -2), ceil(x, -2), trunc(x, -2) FROM system.numbers LIMIT 20;
SELECT toInt32(number - 10) AS x, round(x, -2), bankersRound(x, -2), floor(x, -2), ceil(x, -2), trunc(x, -2) FROM system.numbers LIMIT 20;
SELECT toInt64(number - 10) AS x, round(x, -2), bankersRound(x, -2), floor(x, -2), ceil(x, -2), trunc(x, -2) FROM system.numbers LIMIT 20;
SELECT toFloat32(number - 10) AS x, round(x, -2), bankersRound(x, -2), floor(x, -2), ceil(x, -2), trunc(x, -2) FROM system.numbers LIMIT 20;
SELECT toFloat64(number - 10) AS x, round(x, -2), bankersRound(x, -2), floor(x, -2), ceil(x, -2), trunc(x, -2) FROM system.numbers LIMIT 20;
SELECT toUInt8(number) AS x, round(x, -2), roundBankers(x, -2), floor(x, -2), ceil(x, -2), trunc(x, -2) FROM system.numbers LIMIT 20;
SELECT toUInt16(number) AS x, round(x, -2), roundBankers(x, -2), floor(x, -2), ceil(x, -2), trunc(x, -2) FROM system.numbers LIMIT 20;
SELECT toUInt32(number) AS x, round(x, -2), roundBankers(x, -2), floor(x, -2), ceil(x, -2), trunc(x, -2) FROM system.numbers LIMIT 20;
SELECT toUInt64(number) AS x, round(x, -2), roundBankers(x, -2), floor(x, -2), ceil(x, -2), trunc(x, -2) FROM system.numbers LIMIT 20;
SELECT toInt8(number - 10) AS x, round(x, -2), roundBankers(x, -2), floor(x, -2), ceil(x, -2), trunc(x, -2) FROM system.numbers LIMIT 20;
SELECT toInt16(number - 10) AS x, round(x, -2), roundBankers(x, -2), floor(x, -2), ceil(x, -2), trunc(x, -2) FROM system.numbers LIMIT 20;
SELECT toInt32(number - 10) AS x, round(x, -2), roundBankers(x, -2), floor(x, -2), ceil(x, -2), trunc(x, -2) FROM system.numbers LIMIT 20;
SELECT toInt64(number - 10) AS x, round(x, -2), roundBankers(x, -2), floor(x, -2), ceil(x, -2), trunc(x, -2) FROM system.numbers LIMIT 20;
SELECT toFloat32(number - 10) AS x, round(x, -2), roundBankers(x, -2), floor(x, -2), ceil(x, -2), trunc(x, -2) FROM system.numbers LIMIT 20;
SELECT toFloat64(number - 10) AS x, round(x, -2), roundBankers(x, -2), floor(x, -2), ceil(x, -2), trunc(x, -2) FROM system.numbers LIMIT 20;
SELECT 123456789 AS x, floor(x, -1), floor(x, -2), floor(x, -3), floor(x, -4), floor(x, -5), floor(x, -6), floor(x, -7), floor(x, -8), floor(x, -9), floor(x, -10);
SELECT 12345.6789 AS x, floor(x, -1), floor(x, -2), floor(x, -3), floor(x, -4), floor(x, -5), floor(x, 1), floor(x, 2), floor(x, 3), floor(x, 4), floor(x, 5);

30
dbms/tests/queries/0_stateless/00700_decimal_round.sql
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@ -1,80 +1,80 @@
SELECT toDecimal32(12345.6789, 4) AS x, round(x), round(x, 1), round(x, 2), round(x, 3), round(x, 4), round(x, 5);
SELECT toDecimal32(12345.6789, 4) AS x, bankersRound(x), bankersRound(x, 1), bankersRound(x, 2), bankersRound(x, 3), bankersRound(x, 4), bankersRound(x, 5);
SELECT toDecimal32(12345.6789, 4) AS x, roundBankers(x), roundBankers(x, 1), roundBankers(x, 2), roundBankers(x, 3), roundBankers(x, 4), roundBankers(x, 5);
SELECT toDecimal32(12345.6789, 4) AS x, ceil(x), ceil(x, 1), ceil(x, 2), ceil(x, 3), ceil(x, 4), ceil(x, 5);
SELECT toDecimal32(12345.6789, 4) AS x, floor(x), floor(x, 1), floor(x, 2), floor(x, 3), floor(x, 4), floor(x, 5);
SELECT toDecimal32(12345.6789, 4) AS x, trunc(x), trunc(x, 1), trunc(x, 2), trunc(x, 3), trunc(x, 4), trunc(x, 5);
SELECT toDecimal32(-12345.6789, 4) AS x, round(x), round(x, 1), round(x, 2), round(x, 3), round(x, 4), round(x, 5);
SELECT toDecimal32(-12345.6789, 4) AS x, bankersRound(x), bankersRound(x, 1), bankersRound(x, 2), bankersRound(x, 3), bankersRound(x, 4), bankersRound(x, 5);
SELECT toDecimal32(-12345.6789, 4) AS x, roundBankers(x), roundBankers(x, 1), roundBankers(x, 2), roundBankers(x, 3), roundBankers(x, 4), roundBankers(x, 5);
SELECT toDecimal32(-12345.6789, 4) AS x, ceil(x), ceil(x, 1), ceil(x, 2), ceil(x, 3), ceil(x, 4), ceil(x, 5);
SELECT toDecimal32(-12345.6789, 4) AS x, floor(x), floor(x, 1), floor(x, 2), floor(x, 3), floor(x, 4), floor(x, 5);
SELECT toDecimal32(-12345.6789, 4) AS x, trunc(x), trunc(x, 1), trunc(x, 2), trunc(x, 3), trunc(x, 4), trunc(x, 5);
SELECT toDecimal32(12345.6789, 4) AS x, round(x, -1), round(x, -2), round(x, -3), round(x, -4), round(x, -5);
SELECT toDecimal32(12345.6789, 4) AS x, bankersRound(x, -1), bankersRound(x, -2), bankersRound(x, -3), bankersRound(x, -4), bankersRound(x, -5);
SELECT toDecimal32(12345.6789, 4) AS x, roundBankers(x, -1), roundBankers(x, -2), roundBankers(x, -3), roundBankers(x, -4), roundBankers(x, -5);
SELECT toDecimal32(12345.6789, 4) AS x, ceil(x, -1), ceil(x, -2), ceil(x, -3), ceil(x, -4), ceil(x, -5);
SELECT toDecimal32(12345.6789, 4) AS x, floor(x, -1), floor(x, -2), floor(x, -3), floor(x, -4), floor(x, -5);
SELECT toDecimal32(12345.6789, 4) AS x, trunc(x, -1), trunc(x, -2), trunc(x, -3), trunc(x, -4), trunc(x, -5);
SELECT toDecimal32(-12345.6789, 4) AS x, round(x, -1), round(x, -2), round(x, -3), round(x, -4), round(x, -5);
SELECT toDecimal32(-12345.6789, 4) AS x, bankersRound(x, -1), bankersRound(x, -2), bankersRound(x, -3), bankersRound(x, -4), bankersRound(x, -5);
SELECT toDecimal32(-12345.6789, 4) AS x, roundBankers(x, -1), roundBankers(x, -2), roundBankers(x, -3), roundBankers(x, -4), roundBankers(x, -5);
SELECT toDecimal32(-12345.6789, 4) AS x, ceil(x, -1), ceil(x, -2), ceil(x, -3), ceil(x, -4), ceil(x, -5);
SELECT toDecimal32(-12345.6789, 4) AS x, floor(x, -1), floor(x, -2), floor(x, -3), floor(x, -4), floor(x, -5);
SELECT toDecimal32(-12345.6789, 4) AS x, trunc(x, -1), trunc(x, -2), trunc(x, -3), trunc(x, -4), trunc(x, -5);
SELECT toDecimal64(12345.6789, 4) AS x, round(x), round(x, 1), round(x, 2), round(x, 3), round(x, 4), round(x, 5);
SELECT toDecimal64(12345.6789, 4) AS x, bankersRound(x), bankersRound(x, 1), bankersRound(x, 2), bankersRound(x, 3), bankersRound(x, 4), bankersRound(x, 5);
SELECT toDecimal64(12345.6789, 4) AS x, roundBankers(x), roundBankers(x, 1), roundBankers(x, 2), roundBankers(x, 3), roundBankers(x, 4), roundBankers(x, 5);
SELECT toDecimal64(12345.6789, 4) AS x, ceil(x), ceil(x, 1), ceil(x, 2), ceil(x, 3), ceil(x, 4), ceil(x, 5);
SELECT toDecimal64(12345.6789, 4) AS x, floor(x), floor(x, 1), floor(x, 2), floor(x, 3), floor(x, 4), floor(x, 5);
SELECT toDecimal64(12345.6789, 4) AS x, trunc(x), trunc(x, 1), trunc(x, 2), trunc(x, 3), trunc(x, 4), trunc(x, 5);
SELECT toDecimal64(-12345.6789, 4) AS x, round(x), round(x, 1), round(x, 2), round(x, 3), round(x, 4), round(x, 5);
SELECT toDecimal64(-12345.6789, 4) AS x, bankersRound(x), bankersRound(x, 1), bankersRound(x, 2), bankersRound(x, 3), bankersRound(x, 4), bankersRound(x, 5);
SELECT toDecimal64(-12345.6789, 4) AS x, roundBankers(x), roundBankers(x, 1), roundBankers(x, 2), roundBankers(x, 3), roundBankers(x, 4), roundBankers(x, 5);
SELECT toDecimal64(-12345.6789, 4) AS x, ceil(x), ceil(x, 1), ceil(x, 2), ceil(x, 3), ceil(x, 4), ceil(x, 5);
SELECT toDecimal64(-12345.6789, 4) AS x, floor(x), floor(x, 1), floor(x, 2), floor(x, 3), floor(x, 4), floor(x, 5);
SELECT toDecimal64(-12345.6789, 4) AS x, trunc(x), trunc(x, 1), trunc(x, 2), trunc(x, 3), trunc(x, 4), trunc(x, 5);
SELECT toDecimal64(12345.6789, 4) AS x, round(x, -1), round(x, -2), round(x, -3), round(x, -4), round(x, -5);
SELECT toDecimal64(12345.6789, 4) AS x, bankersRound(x, -1), bankersRound(x, -2), bankersRound(x, -3), bankersRound(x, -4), bankersRound(x, -5);
SELECT toDecimal64(12345.6789, 4) AS x, roundBankers(x, -1), roundBankers(x, -2), roundBankers(x, -3), roundBankers(x, -4), roundBankers(x, -5);
SELECT toDecimal64(12345.6789, 4) AS x, ceil(x, -1), ceil(x, -2), ceil(x, -3), ceil(x, -4), ceil(x, -5);
SELECT toDecimal64(12345.6789, 4) AS x, floor(x, -1), floor(x, -2), floor(x, -3), floor(x, -4), floor(x, -5);
SELECT toDecimal64(12345.6789, 4) AS x, trunc(x, -1), trunc(x, -2), trunc(x, -3), trunc(x, -4), trunc(x, -5);
SELECT toDecimal64(-12345.6789, 4) AS x, round(x, -1), round(x, -2), round(x, -3), round(x, -4), round(x, -5);
SELECT toDecimal64(-12345.6789, 4) AS x, bankersRound(x, -1), bankersRound(x, -2), bankersRound(x, -3), bankersRound(x, -4), bankersRound(x, -5);
SELECT toDecimal64(-12345.6789, 4) AS x, roundBankers(x, -1), roundBankers(x, -2), roundBankers(x, -3), roundBankers(x, -4), roundBankers(x, -5);
SELECT toDecimal64(-12345.6789, 4) AS x, ceil(x, -1), ceil(x, -2), ceil(x, -3), ceil(x, -4), ceil(x, -5);
SELECT toDecimal64(-12345.6789, 4) AS x, floor(x, -1), floor(x, -2), floor(x, -3), floor(x, -4), floor(x, -5);
SELECT toDecimal64(-12345.6789, 4) AS x, trunc(x, -1), trunc(x, -2), trunc(x, -3), trunc(x, -4), trunc(x, -5);
SELECT toDecimal128(12345.6789, 4) AS x, round(x), round(x, 1), round(x, 2), round(x, 3), round(x, 4), round(x, 5);
SELECT toDecimal128(12345.6789, 4) AS x, bankersRound(x), bankersRound(x, 1), bankersRound(x, 2), bankersRound(x, 3), bankersRound(x, 4), bankersRound(x, 5);
SELECT toDecimal128(12345.6789, 4) AS x, roundBankers(x), roundBankers(x, 1), roundBankers(x, 2), roundBankers(x, 3), roundBankers(x, 4), roundBankers(x, 5);
SELECT toDecimal128(12345.6789, 4) AS x, ceil(x), ceil(x, 1), ceil(x, 2), ceil(x, 3), ceil(x, 4), ceil(x, 5);
SELECT toDecimal128(12345.6789, 4) AS x, floor(x), floor(x, 1), floor(x, 2), floor(x, 3), floor(x, 4), floor(x, 5);
SELECT toDecimal128(12345.6789, 4) AS x, trunc(x), trunc(x, 1), trunc(x, 2), trunc(x, 3), trunc(x, 4), trunc(x, 5);
SELECT toDecimal128(-12345.6789, 4) AS x, round(x), round(x, 1), round(x, 2), round(x, 3), round(x, 4), round(x, 5);
SELECT toDecimal128(-12345.6789, 4) AS x, bankersRound(x), bankersRound(x, 1), bankersRound(x, 2), bankersRound(x, 3), bankersRound(x, 4), bankersRound(x, 5);
SELECT toDecimal128(-12345.6789, 4) AS x, roundBankers(x), roundBankers(x, 1), roundBankers(x, 2), roundBankers(x, 3), roundBankers(x, 4), roundBankers(x, 5);
SELECT toDecimal128(-12345.6789, 4) AS x, ceil(x), ceil(x, 1), ceil(x, 2), ceil(x, 3), ceil(x, 4), ceil(x, 5);
SELECT toDecimal128(-12345.6789, 4) AS x, floor(x), floor(x, 1), floor(x, 2), floor(x, 3), floor(x, 4), floor(x, 5);
SELECT toDecimal128(-12345.6789, 4) AS x, trunc(x), trunc(x, 1), trunc(x, 2), trunc(x, 3), trunc(x, 4), trunc(x, 5);
SELECT toDecimal128(12345.6789, 4) AS x, round(x, -1), round(x, -2), round(x, -3), round(x, -4), round(x, -5);
SELECT toDecimal128(12345.6789, 4) AS x, bankersRound(x, -1), bankersRound(x, -2), bankersRound(x, -3), bankersRound(x, -4), bankersRound(x, -5);
SELECT toDecimal128(12345.6789, 4) AS x, roundBankers(x, -1), roundBankers(x, -2), roundBankers(x, -3), roundBankers(x, -4), roundBankers(x, -5);
SELECT toDecimal128(12345.6789, 4) AS x, ceil(x, -1), ceil(x, -2), ceil(x, -3), ceil(x, -4), ceil(x, -5);
SELECT toDecimal128(12345.6789, 4) AS x, floor(x, -1), floor(x, -2), floor(x, -3), floor(x, -4), floor(x, -5);
SELECT toDecimal128(12345.6789, 4) AS x, trunc(x, -1), trunc(x, -2), trunc(x, -3), trunc(x, -4), trunc(x, -5);
SELECT toDecimal128(-12345.6789, 4) AS x, round(x, -1), round(x, -2), round(x, -3), round(x, -4), round(x, -5);
SELECT toDecimal128(-12345.6789, 4) AS x, bankersRound(x, -1), bankersRound(x, -2), bankersRound(x, -3), bankersRound(x, -4), bankersRound(x, -5);
SELECT toDecimal128(-12345.6789, 4) AS x, roundBankers(x, -1), roundBankers(x, -2), roundBankers(x, -3), roundBankers(x, -4), roundBankers(x, -5);
SELECT toDecimal128(-12345.6789, 4) AS x, ceil(x, -1), ceil(x, -2), ceil(x, -3), ceil(x, -4), ceil(x, -5);
SELECT toDecimal128(-12345.6789, 4) AS x, floor(x, -1), floor(x, -2), floor(x, -3), floor(x, -4), floor(x, -5);
SELECT toDecimal128(-12345.6789, 4) AS x, trunc(x, -1), trunc(x, -2), trunc(x, -3), trunc(x, -4), trunc(x, -5);
SELECT toDecimal64(123456789.123456789, 9) AS x, -x AS y, round(x), round(y), round(x, 5), round(y, 5), round(x, -5), round(y, -5);
SELECT toDecimal64(123456789.123456789, 9) AS x, -x AS y, bankersRound(x), bankersRound(y), bankersRound(x, 5), bankersRound(y, 5), bankersRound(x, -5), bankersRound(y, -5);
SELECT toDecimal64(123456789.123456789, 9) AS x, -x AS y, roundBankers(x), roundBankers(y), roundBankers(x, 5), roundBankers(y, 5), roundBankers(x, -5), roundBankers(y, -5);
SELECT toDecimal64(123456789.123456789, 9) AS x, -x AS y, ceil(x), ceil(y), ceil(x, 5), ceil(y, 5), ceil(x, -5), ceil(y, -5);
SELECT toDecimal64(123456789.123456789, 9) AS x, -x AS y, floor(x), floor(y), floor(x, 5), floor(y, 5), floor(x, -5), floor(y, -5);
SELECT toDecimal64(123456789.123456789, 9) AS x, -x AS y, trunc(x), trunc(y), trunc(x, 5), trunc(y, 5), trunc(x, -5), trunc(y, -5);
SELECT toDecimal128(12345678901234567890123456789.123456789, 9) AS x, -x AS y, round(x), round(y), round(x, 3), round(y, 3);
SELECT toDecimal128(12345678901234567890123456789.123456789, 9) AS x, -x AS y, bankersRound(x), bankersRound(y), bankersRound(x, 3), bankersRound(y, 3);
SELECT toDecimal128(12345678901234567890123456789.123456789, 9) AS x, -x AS y, roundBankers(x), roundBankers(y), roundBankers(x, 3), roundBankers(y, 3);
SELECT toDecimal128(12345678901234567890123456789.123456789, 9) AS x, -x AS y, ceil(x), ceil(y), ceil(x, 3), ceil(y, 3);
SELECT toDecimal128(12345678901234567890123456789.123456789, 9) AS x, -x AS y, floor(x), floor(y), floor(x, 3), floor(y, 3);
SELECT toDecimal128(12345678901234567890123456789.123456789, 9) AS x, -x AS y, trunc(x), trunc(y), trunc(x, 3), trunc(y, 3);
SELECT toDecimal128(12345678901234567890123456789.123456789, 9) AS x, -x AS y, round(x), round(y), round(x, -3), round(y, -3);
SELECT toDecimal128(12345678901234567890123456789.123456789, 9) AS x, -x AS y, bankersRound(x), bankersRound(y), bankersRound(x, -3), bankersRound(y, -3);
SELECT toDecimal128(12345678901234567890123456789.123456789, 9) AS x, -x AS y, roundBankers(x), roundBankers(y), roundBankers(x, -3), roundBankers(y, -3);
SELECT toDecimal128(12345678901234567890123456789.123456789, 9) AS x, -x AS y, ceil(x), ceil(y), ceil(x, -3), ceil(y, -3);
SELECT toDecimal128(12345678901234567890123456789.123456789, 9) AS x, -x AS y, floor(x), floor(y), floor(x, -3), floor(y, -3);
SELECT toDecimal128(12345678901234567890123456789.123456789, 9) AS x, -x AS y, trunc(x), trunc(y), trunc(x, -3), trunc(y, -3);