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doris/be/test/exprs/function/function_round_test.cpp
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// Licensed to the Apache Software Foundation (ASF) under one
// or more contributor license agreements. See the NOTICE file
// distributed with this work for additional information
// regarding copyright ownership. The ASF licenses this file
// to you under the Apache License, Version 2.0 (the
// "License"); you may not use this file except in compliance
// with the License. You may obtain a copy of the License at
//
// http://www.apache.org/licenses/LICENSE-2.0
//
// Unless required by applicable law or agreed to in writing,
// software distributed under the License is distributed on an
// "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
// KIND, either express or implied. See the License for the
// specific language governing permissions and limitations
// under the License.
#include <climits>
#include <cmath>
#include <cstddef>
#include <map>
#include <memory>
#include <tuple>
#include <utility>
#include <vector>
#include "core/assert_cast.h"
#include "core/block/column_numbers.h"
#include "core/column/column.h"
#include "core/column/column_const.h"
#include "core/column/column_decimal.h"
#include "core/data_type/data_type_decimal.h"
#include "core/data_type/data_type_number.h"
#include "core/types.h"
#include "exprs/function/function_test_util.h"
#include "exprs/function/round.h"
/**
This BE UT focus on enhancement of round based function, which enables them
to use column as scale argument. We test truncate/floor/ceil/round/round_bankers
together by moving test cases of function_truncate_test.cpp here.
*/
namespace doris {
// {precision, scale} -> {input, scale_arg, expectation}
using DecimalTestDataSet =
std::map<std::pair<int, int>, std::vector<std::tuple<Int128, int, Int128>>>;
// input, scale_arg, expectation
using FloatTestDataSet = std::vector<std::tuple<Float64, int, Float64>>;
using Decimal32TruncateFunction =
FunctionRounding<DecimalRoundTwoImpl<TruncateName, TYPE_DECIMAL32>, RoundingMode::Trunc,
TieBreakingMode::Auto>;
using Decimal64TruncateFunction =
FunctionRounding<DecimalRoundTwoImpl<TruncateName, TYPE_DECIMAL64>, RoundingMode::Trunc,
TieBreakingMode::Auto>;
using Decimal32FloorFunction = FunctionRounding<DecimalRoundTwoImpl<FloorName, TYPE_DECIMAL32>,
RoundingMode::Floor, TieBreakingMode::Auto>;
using Decimal64FloorFunction = FunctionRounding<DecimalRoundTwoImpl<FloorName, TYPE_DECIMAL64>,
RoundingMode::Floor, TieBreakingMode::Auto>;
using Decimal128FloorFunction = FunctionRounding<DecimalRoundTwoImpl<FloorName, TYPE_DECIMAL128I>,
RoundingMode::Floor, TieBreakingMode::Auto>;
using Decimal256FloorFunction = FunctionRounding<DecimalRoundTwoImpl<FloorName, TYPE_DECIMAL256>,
RoundingMode::Floor, TieBreakingMode::Auto>;
using Decimal32CeilFunction = FunctionRounding<DecimalRoundTwoImpl<CeilName, TYPE_DECIMAL32>,
RoundingMode::Ceil, TieBreakingMode::Auto>;
using Decimal64CeilFunction = FunctionRounding<DecimalRoundTwoImpl<CeilName, TYPE_DECIMAL64>,
RoundingMode::Ceil, TieBreakingMode::Auto>;
using Decimal128CeilFunction = FunctionRounding<DecimalRoundTwoImpl<CeilName, TYPE_DECIMAL128I>,
RoundingMode::Ceil, TieBreakingMode::Auto>;
using Decimal256CeilFunction = FunctionRounding<DecimalRoundTwoImpl<CeilName, TYPE_DECIMAL256>,
RoundingMode::Ceil, TieBreakingMode::Auto>;
using Decimal32RoundFunction = FunctionRounding<DecimalRoundTwoImpl<RoundName, TYPE_DECIMAL32>,
RoundingMode::Round, TieBreakingMode::Auto>;
using Decimal64RoundFunction = FunctionRounding<DecimalRoundTwoImpl<RoundName, TYPE_DECIMAL64>,
RoundingMode::Round, TieBreakingMode::Auto>;
using Decimal128RoundFunction = FunctionRounding<DecimalRoundTwoImpl<RoundName, TYPE_DECIMAL128I>,
RoundingMode::Round, TieBreakingMode::Auto>;
using Decimal32RoundBankersFunction =
FunctionRounding<DecimalRoundTwoImpl<RoundBankersName, TYPE_DECIMAL32>, RoundingMode::Round,
TieBreakingMode::Bankers>;
using Decimal64RoundBankersFunction =
FunctionRounding<DecimalRoundTwoImpl<RoundBankersName, TYPE_DECIMAL64>, RoundingMode::Round,
TieBreakingMode::Bankers>;
using Decimal128RoundBankersFunction =
FunctionRounding<DecimalRoundTwoImpl<RoundBankersName, TYPE_DECIMAL128I>,
RoundingMode::Round, TieBreakingMode::Bankers>;
using FloatTruncateFunction = FunctionRounding<DoubleRoundTwoImpl<TruncateName>,
RoundingMode::Trunc, TieBreakingMode::Auto>;
using FloatFloorFunction =
FunctionRounding<DoubleRoundTwoImpl<FloorName>, RoundingMode::Floor, TieBreakingMode::Auto>;
using FloatCeilFunction =
FunctionRounding<DoubleRoundTwoImpl<CeilName>, RoundingMode::Ceil, TieBreakingMode::Auto>;
using FloatRoundFunction =
FunctionRounding<DoubleRoundTwoImpl<RoundName>, RoundingMode::Round, TieBreakingMode::Auto>;
using FloatRoundBankersFunction = FunctionRounding<DoubleRoundTwoImpl<RoundBankersName>,
RoundingMode::Round, TieBreakingMode::Bankers>;
// test cases for truncate and floor function of decimal32
const static DecimalTestDataSet trunc_floor_decimal32_cases = {
{{1, 0},
{
{1, -10, 0}, {1, -9, 0}, {1, -8, 0}, {1, -7, 0}, {1, -6, 0}, {1, -5, 0},
{1, -4, 0}, {1, -3, 0}, {1, -2, 0}, {1, -1, 0}, {1, 0, 1}, {1, 1, 1},
{1, 2, 1}, {1, 3, 1}, {1, 4, 1}, {1, 5, 1}, {1, 6, 1}, {1, 7, 1},
{1, 8, 1}, {1, 9, 1}, {1, 10, 1},
}},
{{1, 1},
{
{1, -10, 0}, {1, -9, 0}, {1, -8, 0}, {1, -7, 0}, {1, -6, 0}, {1, -5, 0},
{1, -4, 0}, {1, -3, 0}, {1, -2, 0}, {1, -1, 0}, {1, 0, 0}, {1, 1, 1},
{1, 2, 1}, {1, 3, 1}, {1, 4, 1}, {1, 5, 1}, {1, 6, 1}, {1, 7, 1},
{1, 8, 1}, {1, 9, 1}, {1, 10, 1},
}},
{{2, 0},
{
{12, -4, 0},
{12, -3, 0},
{12, -2, 0},
{12, -1, 10},
{12, 0, 12},
{12, 1, 12},
{12, 2, 12},
{12, 3, 12},
{12, 4, 12},
}},
{{2, 1},
{
{12, -4, 0},
{12, -3, 0},
{12, -2, 0},
{12, -1, 0},
{12, 0, 10},
{12, 1, 12},
{12, 2, 12},
{12, 3, 12},
{12, 4, 12},
}},
{{2, 2},
{
{12, -4, 0},
{12, -3, 0},
{12, -2, 0},
{12, -1, 0},
{12, 0, 0},
{12, 1, 10},
{12, 2, 12},
{12, 3, 12},
{12, 4, 12},
}},
{{9, 0},
{
{123456789, -10, 0}, {123456789, -9, 0}, {123456789, -8, 100000000},
{123456789, -7, 120000000}, {123456789, -6, 123000000}, {123456789, -5, 123400000},
{123456789, -4, 123450000}, {123456789, -3, 123456000}, {123456789, -2, 123456700},
{123456789, -1, 123456780}, {123456789, 0, 123456789}, {123456789, 1, 123456789},
{123456789, 2, 123456789}, {123456789, 3, 123456789}, {123456789, 4, 123456789},
{123456789, 5, 123456789}, {123456789, 6, 123456789}, {123456789, 7, 123456789},
{123456789, 8, 123456789}, {123456789, 9, 123456789}, {123456789, 10, 123456789},
}},
{{9, 1},
{
{123456789, -10, 0}, {123456789, -9, 0}, {123456789, -8, 0},
{123456789, -7, 100000000}, {123456789, -6, 120000000}, {123456789, -5, 123000000},
{123456789, -4, 123400000}, {123456789, -3, 123450000}, {123456789, -2, 123456000},
{123456789, -1, 123456700}, {123456789, 0, 123456780}, {123456789, 1, 123456789},
{123456789, 2, 123456789}, {123456789, 3, 123456789}, {123456789, 4, 123456789},
{123456789, 5, 123456789}, {123456789, 6, 123456789}, {123456789, 7, 123456789},
{123456789, 8, 123456789}, {123456789, 9, 123456789}, {123456789, 10, 123456789},
}},
{{9, 2},
{
{123456789, -10, 0}, {123456789, -9, 0}, {123456789, -8, 0},
{123456789, -7, 0}, {123456789, -6, 100000000}, {123456789, -5, 120000000},
{123456789, -4, 123000000}, {123456789, -3, 123400000}, {123456789, -2, 123450000},
{123456789, -1, 123456000}, {123456789, 0, 123456700}, {123456789, 1, 123456780},
{123456789, 2, 123456789}, {123456789, 3, 123456789}, {123456789, 4, 123456789},
{123456789, 5, 123456789}, {123456789, 6, 123456789}, {123456789, 7, 123456789},
{123456789, 8, 123456789}, {123456789, 9, 123456789}, {123456789, 10, 123456789},
}},
{{9, 3},
{
{123456789, -10, 0}, {123456789, -9, 0}, {123456789, -8, 0},
{123456789, -7, 0}, {123456789, -6, 0}, {123456789, -5, 100000000},
{123456789, -4, 120000000}, {123456789, -3, 123000000}, {123456789, -2, 123400000},
{123456789, -1, 123450000}, {123456789, 0, 123456000}, {123456789, 1, 123456700},
{123456789, 2, 123456780}, {123456789, 3, 123456789}, {123456789, 4, 123456789},
{123456789, 5, 123456789}, {123456789, 6, 123456789}, {123456789, 7, 123456789},
{123456789, 8, 123456789}, {123456789, 9, 123456789}, {123456789, 10, 123456789},
}},
{{9, 4},
{
{123456789, -10, 0}, {123456789, -9, 0}, {123456789, -8, 0},
{123456789, -7, 0}, {123456789, -6, 0}, {123456789, -5, 0},
{123456789, -4, 100000000}, {123456789, -3, 120000000}, {123456789, -2, 123000000},
{123456789, -1, 123400000}, {123456789, 0, 123450000}, {123456789, 1, 123456000},
{123456789, 2, 123456700}, {123456789, 3, 123456780}, {123456789, 4, 123456789},
{123456789, 5, 123456789}, {123456789, 6, 123456789}, {123456789, 7, 123456789},
{123456789, 8, 123456789}, {123456789, 9, 123456789}, {123456789, 10, 123456789},
}},
{{9, 5},
{
{123456789, -10, 0}, {123456789, -9, 0}, {123456789, -8, 0},
{123456789, -7, 0}, {123456789, -6, 0}, {123456789, -5, 0},
{123456789, -4, 0}, {123456789, -3, 100000000}, {123456789, -2, 120000000},
{123456789, -1, 123000000}, {123456789, 0, 123400000}, {123456789, 1, 123450000},
{123456789, 2, 123456000}, {123456789, 3, 123456700}, {123456789, 4, 123456780},
{123456789, 5, 123456789}, {123456789, 6, 123456789}, {123456789, 7, 123456789},
{123456789, 8, 123456789}, {123456789, 9, 123456789}, {123456789, 10, 123456789},
}},
{{9, 6},
{
{123456789, -10, 0}, {123456789, -9, 0}, {123456789, -8, 0},
{123456789, -7, 0}, {123456789, -6, 0}, {123456789, -5, 0},
{123456789, -4, 0}, {123456789, -3, 0}, {123456789, -2, 100000000},
{123456789, -1, 120000000}, {123456789, 0, 123000000}, {123456789, 1, 123400000},
{123456789, 2, 123450000}, {123456789, 3, 123456000}, {123456789, 4, 123456700},
{123456789, 5, 123456780}, {123456789, 6, 123456789}, {123456789, 7, 123456789},
{123456789, 8, 123456789}, {123456789, 9, 123456789}, {123456789, 10, 123456789},
}},
{{9, 7},
{
{123456789, -10, 0}, {123456789, -9, 0}, {123456789, -8, 0},
{123456789, -7, 0}, {123456789, -6, 0}, {123456789, -5, 0},
{123456789, -4, 0}, {123456789, -3, 0}, {123456789, -2, 0},
{123456789, -1, 100000000}, {123456789, 0, 120000000}, {123456789, 1, 123000000},
{123456789, 2, 123400000}, {123456789, 3, 123450000}, {123456789, 4, 123456000},
{123456789, 5, 123456700}, {123456789, 6, 123456780}, {123456789, 7, 123456789},
{123456789, 8, 123456789}, {123456789, 9, 123456789}, {123456789, 10, 123456789},
}},
{{9, 8},
{
{123456789, -10, 0}, {123456789, -9, 0}, {123456789, -8, 0},
{123456789, -7, 0}, {123456789, -6, 0}, {123456789, -5, 0},
{123456789, -4, 0}, {123456789, -3, 0}, {123456789, -2, 0},
{123456789, -1, 0}, {123456789, 0, 100000000}, {123456789, 1, 120000000},
{123456789, 2, 123000000}, {123456789, 3, 123400000}, {123456789, 4, 123450000},
{123456789, 5, 123456000}, {123456789, 6, 123456700}, {123456789, 7, 123456780},
{123456789, 8, 123456789}, {123456789, 9, 123456789}, {123456789, 10, 123456789},
}},
{{9, 9},
{
{123456789, -10, 0}, {123456789, -9, 0}, {123456789, -8, 0},
{123456789, -7, 0}, {123456789, -6, 0}, {123456789, -5, 0},
{123456789, -4, 0}, {123456789, -3, 0}, {123456789, -2, 0},
{123456789, -1, 0}, {123456789, 0, 0}, {123456789, 1, 100000000},
{123456789, 2, 120000000}, {123456789, 3, 123000000}, {123456789, 4, 123400000},
{123456789, 5, 123450000}, {123456789, 6, 123456000}, {123456789, 7, 123456700},
{123456789, 8, 123456780}, {123456789, 9, 123456789}, {123456789, 10, 123456789},
}}};
// test cases for truncate and floor function of decimal64
const static DecimalTestDataSet trunc_floor_decimal64_cases = {
{{10, 0},
{{1234567891, -11, 0}, {1234567891, -10, 0}, {1234567891, -9, 1000000000},
{1234567891, -8, 1200000000}, {1234567891, -7, 1230000000}, {1234567891, -6, 1234000000},
{1234567891, -5, 1234500000}, {1234567891, -4, 1234560000}, {1234567891, -3, 1234567000},
{1234567891, -2, 1234567800}, {1234567891, -1, 1234567890}, {1234567891, 0, 1234567891},
{1234567891, 1, 1234567891}, {1234567891, 2, 1234567891}, {1234567891, 3, 1234567891},
{1234567891, 4, 1234567891}, {1234567891, 5, 1234567891}, {1234567891, 6, 1234567891},
{1234567891, 7, 1234567891}, {1234567891, 8, 1234567891}, {1234567891, 9, 1234567891},
{1234567891, 10, 1234567891}, {1234567891, 11, 1234567891}}},
{{10, 1},
{{1234567891, -11, 0}, {1234567891, -10, 0}, {1234567891, -9, 0},
{1234567891, -8, 1000000000}, {1234567891, -7, 1200000000}, {1234567891, -6, 1230000000},
{1234567891, -5, 1234000000}, {1234567891, -4, 1234500000}, {1234567891, -3, 1234560000},
{1234567891, -2, 1234567000}, {1234567891, -1, 1234567800}, {1234567891, 0, 1234567890},
{1234567891, 1, 1234567891}, {1234567891, 2, 1234567891}, {1234567891, 3, 1234567891},
{1234567891, 4, 1234567891}, {1234567891, 5, 1234567891}, {1234567891, 6, 1234567891},
{1234567891, 7, 1234567891}, {1234567891, 8, 1234567891}, {1234567891, 9, 1234567891},
{1234567891, 10, 1234567891}, {1234567891, 11, 1234567891}
}},
{{10, 2},
{{1234567891, -11, 0}, {1234567891, -10, 0}, {1234567891, -9, 0},
{1234567891, -8, 0}, {1234567891, -7, 1000000000}, {1234567891, -6, 1200000000},
{1234567891, -5, 1230000000}, {1234567891, -4, 1234000000}, {1234567891, -3, 1234500000},
{1234567891, -2, 1234560000}, {1234567891, -1, 1234567000}, {1234567891, 0, 1234567800},
{1234567891, 1, 1234567890}, {1234567891, 2, 1234567891}, {1234567891, 3, 1234567891},
{1234567891, 4, 1234567891}, {1234567891, 5, 1234567891}, {1234567891, 6, 1234567891},
{1234567891, 7, 1234567891}, {1234567891, 8, 1234567891}, {1234567891, 9, 1234567891},
{1234567891, 10, 1234567891}, {1234567891, 11, 1234567891}}},
{{10, 9},
{{1234567891, -11, 0}, {1234567891, -10, 0}, {1234567891, -9, 0},
{1234567891, -8, 0}, {1234567891, -7, 0}, {1234567891, -6, 0},
{1234567891, -5, 0}, {1234567891, -4, 0}, {1234567891, -3, 0},
{1234567891, -2, 0}, {1234567891, -1, 0}, {1234567891, 0, 1000000000},
{1234567891, 1, 1200000000}, {1234567891, 2, 1230000000}, {1234567891, 3, 1234000000},
{1234567891, 4, 1234500000}, {1234567891, 5, 1234560000}, {1234567891, 6, 1234567000},
{1234567891, 7, 1234567800}, {1234567891, 8, 1234567890}, {1234567891, 9, 1234567891},
{1234567891, 10, 1234567891}, {1234567891, 11, 1234567891}}},
{{18, 0},
{{123456789123456789, -19, 0},
{123456789123456789, -18, 0},
{123456789123456789, -17, 100000000000000000},
{123456789123456789, -16, 120000000000000000},
{123456789123456789, -15, 123000000000000000},
{123456789123456789, -14, 123400000000000000},
{123456789123456789, -13, 123450000000000000},
{123456789123456789, -12, 123456000000000000},
{123456789123456789, -11, 123456700000000000},
{123456789123456789, -10, 123456780000000000},
{123456789123456789, -9, 123456789000000000},
{123456789123456789, -8, 123456789100000000},
{123456789123456789, -7, 123456789120000000},
{123456789123456789, -6, 123456789123000000},
{123456789123456789, -5, 123456789123400000},
{123456789123456789, -4, 123456789123450000},
{123456789123456789, -3, 123456789123456000},
{123456789123456789, -2, 123456789123456700},
{123456789123456789, -1, 123456789123456780},
{123456789123456789, 0, 123456789123456789},
{123456789123456789, 1, 123456789123456789},
{123456789123456789, 2, 123456789123456789},
{123456789123456789, 3, 123456789123456789},
{123456789123456789, 4, 123456789123456789},
{123456789123456789, 5, 123456789123456789},
{123456789123456789, 6, 123456789123456789},
{123456789123456789, 7, 123456789123456789},
{123456789123456789, 8, 123456789123456789},
{123456789123456789, 18, 123456789123456789}}},
{{18, 18},
{{123456789123456789, -1, 0},
{123456789123456789, 0, 0},
{123456789123456789, 1, 100000000000000000},
{123456789123456789, 2, 120000000000000000},
{123456789123456789, 3, 123000000000000000},
{123456789123456789, 4, 123400000000000000},
{123456789123456789, 5, 123450000000000000},
{123456789123456789, 6, 123456000000000000},
{123456789123456789, 7, 123456700000000000},
{123456789123456789, 8, 123456780000000000},
{123456789123456789, 9, 123456789000000000},
{123456789123456789, 10, 123456789100000000},
{123456789123456789, 11, 123456789120000000},
{123456789123456789, 12, 123456789123000000},
{123456789123456789, 13, 123456789123400000},
{123456789123456789, 14, 123456789123450000},
{123456789123456789, 15, 123456789123456000},
{123456789123456789, 16, 123456789123456700},
{123456789123456789, 17, 123456789123456780},
{123456789123456789, 18, 123456789123456789},
{123456789123456789, 19, 123456789123456789},
{123456789123456789, 20, 123456789123456789},
{123456789123456789, 21, 123456789123456789},
{123456789123456789, 22, 123456789123456789},
{123456789123456789, 23, 123456789123456789},
{123456789123456789, 24, 123456789123456789},
{123456789123456789, 25, 123456789123456789},
{123456789123456789, 26, 123456789123456789}}}};
// test cases for ceil function of decimal32
const static DecimalTestDataSet ceil_decimal32_cases = {
{{1, 0},
{
{1, -10, 0}, {1, -9, 1000000000}, {1, -8, 100000000}, {1, -7, 10000000},
{1, -6, 1000000}, {1, -5, 100000}, {1, -4, 10000}, {1, -3, 1000},
{1, -2, 100}, {1, -1, 10}, {1, 0, 1}, {1, 1, 1},
{1, 2, 1}, {1, 3, 1}, {1, 4, 1}, {1, 5, 1},
{1, 6, 1}, {1, 7, 1}, {1, 8, 1}, {1, 9, 1},
{1, 10, 1},
}},
{{1, 1},
{
{1, -10, 0}, {1, -9, 0}, {1, -8, 1000000000}, {1, -7, 100000000},
{1, -6, 10000000}, {1, -5, 1000000}, {1, -4, 100000}, {1, -3, 10000},
{1, -2, 1000}, {1, -1, 100}, {1, 0, 10}, {1, 1, 1},
{1, 2, 1}, {1, 3, 1}, {1, 4, 1}, {1, 5, 1},
{1, 6, 1}, {1, 7, 1}, {1, 8, 1}, {1, 9, 1},
{1, 10, 1},
}},
{{2, 0},
{
{12, -4, 10000},
{12, -3, 1000},
{12, -2, 100},
{12, -1, 20},
{12, 0, 12},
{12, 1, 12},
{12, 2, 12},
{12, 3, 12},
{12, 4, 12},
}},
{{2, 1},
{
{12, -4, 100000},
{12, -3, 10000},
{12, -2, 1000},
{12, -1, 100},
{12, 0, 20},
{12, 1, 12},
{12, 2, 12},
{12, 3, 12},
{12, 4, 12},
}},
{{2, 2},
{
{12, -4, 1000000},
{12, -3, 100000},
{12, -2, 10000},
{12, -1, 1000},
{12, 0, 100},
{12, 1, 20},
{12, 2, 12},
{12, 3, 12},
{12, 4, 12},
}},
{{9, 0},
{
{123456789, -10, 0}, {123456789, -9, 1000000000},
{123456789, -8, 200000000}, {123456789, -7, 130000000},
{123456789, -6, 124000000}, {123456789, -5, 123500000},
{123456789, -4, 123460000}, {123456789, -3, 123457000},
{123456789, -2, 123456800}, {123456789, -1, 123456790},
{123456789, 0, 123456789}, {123456789, 1, 123456789},
{123456789, 2, 123456789}, {123456789, 3, 123456789},
{123456789, 4, 123456789}, {123456789, 5, 123456789},
{123456789, 6, 123456789}, {123456789, 7, 123456789},
{123456789, 8, 123456789}, {123456789, 9, 123456789},
{123456789, 10, 123456789},
}},
{{9, 1},
{
{123456789, -10, 0}, {123456789, -9, 0},
{123456789, -8, 1000000000}, {123456789, -7, 200000000},
{123456789, -6, 130000000}, {123456789, -5, 124000000},
{123456789, -4, 123500000}, {123456789, -3, 123460000},
{123456789, -2, 123457000}, {123456789, -1, 123456800},
{123456789, 0, 123456790}, {123456789, 1, 123456789},
{123456789, 2, 123456789}, {123456789, 3, 123456789},
{123456789, 4, 123456789}, {123456789, 5, 123456789},
{123456789, 6, 123456789}, {123456789, 7, 123456789},
{123456789, 8, 123456789}, {123456789, 9, 123456789},
{123456789, 10, 123456789},
}},
{{9, 2},
{
{123456789, -10, 0}, {123456789, -9, 0},
{123456789, -8, 0}, {123456789, -7, 1000000000},
{123456789, -6, 200000000}, {123456789, -5, 130000000},
{123456789, -4, 124000000}, {123456789, -3, 123500000},
{123456789, -2, 123460000}, {123456789, -1, 123457000},
{123456789, 0, 123456800}, {123456789, 1, 123456790},
{123456789, 2, 123456789}, {123456789, 3, 123456789},
{123456789, 4, 123456789}, {123456789, 5, 123456789},
{123456789, 6, 123456789}, {123456789, 7, 123456789},
{123456789, 8, 123456789}, {123456789, 9, 123456789},
{123456789, 10, 123456789},
}},
{{9, 3},
{
{123456789, -10, 0}, {123456789, -9, 0},
{123456789, -8, 0}, {123456789, -7, 0},
{123456789, -6, 1000000000}, {123456789, -5, 200000000},
{123456789, -4, 130000000}, {123456789, -3, 124000000},
{123456789, -2, 123500000}, {123456789, -1, 123460000},
{123456789, 0, 123457000}, {123456789, 1, 123456800},
{123456789, 2, 123456790}, {123456789, 3, 123456789},
{123456789, 4, 123456789}, {123456789, 5, 123456789},
{123456789, 6, 123456789}, {123456789, 7, 123456789},
{123456789, 8, 123456789}, {123456789, 9, 123456789},
{123456789, 10, 123456789},
}},
{{9, 4},
{
{123456789, -10, 0}, {123456789, -9, 0},
{123456789, -8, 0}, {123456789, -7, 0},
{123456789, -6, 0}, {123456789, -5, 1000000000},
{123456789, -4, 200000000}, {123456789, -3, 130000000},
{123456789, -2, 124000000}, {123456789, -1, 123500000},
{123456789, 0, 123460000}, {123456789, 1, 123457000},
{123456789, 2, 123456800}, {123456789, 3, 123456790},
{123456789, 4, 123456789}, {123456789, 5, 123456789},
{123456789, 6, 123456789}, {123456789, 7, 123456789},
{123456789, 8, 123456789}, {123456789, 9, 123456789},
{123456789, 10, 123456789},
}},
{{9, 5},
{
{123456789, -10, 0}, {123456789, -9, 0},
{123456789, -8, 0}, {123456789, -7, 0},
{123456789, -6, 0}, {123456789, -5, 0},
{123456789, -4, 1000000000}, {123456789, -3, 200000000},
{123456789, -2, 130000000}, {123456789, -1, 124000000},
{123456789, 0, 123500000}, {123456789, 1, 123460000},
{123456789, 2, 123457000}, {123456789, 3, 123456800},
{123456789, 4, 123456790}, {123456789, 5, 123456789},
{123456789, 6, 123456789}, {123456789, 7, 123456789},
{123456789, 8, 123456789}, {123456789, 9, 123456789},
{123456789, 10, 123456789},
}},
{{9, 6},
{
{123456789, -10, 0}, {123456789, -9, 0},
{123456789, -8, 0}, {123456789, -7, 0},
{123456789, -6, 0}, {123456789, -5, 0},
{123456789, -4, 0}, {123456789, -3, 1000000000},
{123456789, -2, 200000000}, {123456789, -1, 130000000},
{123456789, 0, 124000000}, {123456789, 1, 123500000},
{123456789, 2, 123460000}, {123456789, 3, 123457000},
{123456789, 4, 123456800}, {123456789, 5, 123456790},
{123456789, 6, 123456789}, {123456789, 7, 123456789},
{123456789, 8, 123456789}, {123456789, 9, 123456789},
{123456789, 10, 123456789},
}},
{{9, 7},
{
{123456789, -10, 0}, {123456789, -9, 0}, {123456789, -8, 0},
{123456789, -7, 0}, {123456789, -6, 0}, {123456789, -5, 0},
{123456789, -4, 0}, {123456789, -3, 0}, {123456789, -2, 1000000000},
{123456789, -1, 200000000}, {123456789, 0, 130000000}, {123456789, 1, 124000000},
{123456789, 2, 123500000}, {123456789, 3, 123460000}, {123456789, 4, 123457000},
{123456789, 5, 123456800}, {123456789, 6, 123456790}, {123456789, 7, 123456789},
{123456789, 8, 123456789}, {123456789, 9, 123456789}, {123456789, 10, 123456789},
}},
{{9, 8},
{
{123456789, -10, 0}, {123456789, -9, 0}, {123456789, -8, 0},
{123456789, -7, 0}, {123456789, -6, 0}, {123456789, -5, 0},
{123456789, -4, 0}, {123456789, -3, 0}, {123456789, -2, 0},
{123456789, -1, 1000000000}, {123456789, 0, 200000000}, {123456789, 1, 130000000},
{123456789, 2, 124000000}, {123456789, 3, 123500000}, {123456789, 4, 123460000},
{123456789, 5, 123457000}, {123456789, 6, 123456800}, {123456789, 7, 123456790},
{123456789, 8, 123456789}, {123456789, 9, 123456789}, {123456789, 10, 123456789},
}},
{{9, 9},
{
{123456789, -10, 0}, {123456789, -9, 0}, {123456789, -8, 0},
{123456789, -7, 0}, {123456789, -6, 0}, {123456789, -5, 0},
{123456789, -4, 0}, {123456789, -3, 0}, {123456789, -2, 0},
{123456789, -1, 0}, {123456789, 0, 1000000000}, {123456789, 1, 200000000},
{123456789, 2, 130000000}, {123456789, 3, 124000000}, {123456789, 4, 123500000},
{123456789, 5, 123460000}, {123456789, 6, 123457000}, {123456789, 7, 123456800},
{123456789, 8, 123456790}, {123456789, 9, 123456789}, {123456789, 10, 123456789},
}}};
// test cases for ceil function of decimal64
const static DecimalTestDataSet ceil_decimal64_cases = {
{{10, 0}, {{1234567891, -11, 100000000000}, {1234567891, -10, 10000000000},
{1234567891, -9, 2000000000}, {1234567891, -8, 1300000000},
{1234567891, -7, 1240000000}, {1234567891, -6, 1235000000},
{1234567891, -5, 1234600000}, {1234567891, -4, 1234570000},
{1234567891, -3, 1234568000}, {1234567891, -2, 1234567900},
{1234567891, -1, 1234567900}, {1234567891, 0, 1234567891},
{1234567891, 1, 1234567891}, {1234567891, 2, 1234567891},
{1234567891, 3, 1234567891}, {1234567891, 4, 1234567891},
{1234567891, 5, 1234567891}, {1234567891, 6, 1234567891},
{1234567891, 7, 1234567891}, {1234567891, 8, 1234567891},
{1234567891, 9, 1234567891}, {1234567891, 10, 1234567891},
{1234567891, 11, 1234567891}}},
{{10, 1}, {{1234567891, -11, 1000000000000}, {1234567891, -10, 100000000000},
{1234567891, -9, 10000000000}, {1234567891, -8, 2000000000},
{1234567891, -7, 1300000000}, {1234567891, -6, 1240000000},
{1234567891, -5, 1235000000}, {1234567891, -4, 1234600000},
{1234567891, -3, 1234570000}, {1234567891, -2, 1234568000},
{1234567891, -1, 1234567900}, {1234567891, 0, 1234567900},
{1234567891, 1, 1234567891}, {1234567891, 2, 1234567891},
{1234567891, 3, 1234567891}, {1234567891, 4, 1234567891},
{1234567891, 5, 1234567891}, {1234567891, 6, 1234567891},
{1234567891, 7, 1234567891}, {1234567891, 8, 1234567891},
{1234567891, 9, 1234567891}, {1234567891, 10, 1234567891},
{1234567891, 11, 1234567891}}},
{{10, 2}, {{1234567891, -11, 10000000000000}, {1234567891, -10, 1000000000000},
{1234567891, -9, 100000000000}, {1234567891, -8, 10000000000},
{1234567891, -7, 2000000000}, {1234567891, -6, 1300000000},
{1234567891, -5, 1240000000}, {1234567891, -4, 1235000000},
{1234567891, -3, 1234600000}, {1234567891, -2, 1234570000},
{1234567891, -1, 1234568000}, {1234567891, 0, 1234567900},
{1234567891, 1, 1234567900}, {1234567891, 2, 1234567891},
{1234567891, 3, 1234567891}, {1234567891, 4, 1234567891},
{1234567891, 5, 1234567891}, {1234567891, 6, 1234567891},
{1234567891, 7, 1234567891}, {1234567891, 8, 1234567891},
{1234567891, 9, 1234567891}, {1234567891, 10, 1234567891},
{1234567891, 11, 1234567891}}},
{{10, 9},
{{1234567891, -11, 0},
{1234567891, -10, 0},
{1234567891, -9, 1000000000000000000},
{1234567891, -8, 100000000000000000},
{1234567891, -7, 10000000000000000},
{1234567891, -6, 1000000000000000},
{1234567891, -5, 100000000000000},
{1234567891, -4, 10000000000000},
{1234567891, -3, 1000000000000},
{1234567891, -2, 100000000000},
{1234567891, -1, 10000000000},
{1234567891, 0, 2000000000},
{1234567891, 1, 1300000000},
{1234567891, 2, 1240000000},
{1234567891, 3, 1235000000},
{1234567891, 4, 1234600000},
{1234567891, 5, 1234570000},
{1234567891, 6, 1234568000},
{1234567891, 7, 1234567900},
{1234567891, 8, 1234567900},
{1234567891, 9, 1234567891},
{1234567891, 10, 1234567891},
{1234567891, 11, 1234567891}}},
{{18, 0},
{{123456789123456789, -19, 0},
{123456789123456789, -18, 1000000000000000000},
{123456789123456789, -17, 200000000000000000},
{123456789123456789, -16, 130000000000000000},
{123456789123456789, -15, 124000000000000000},
{123456789123456789, -14, 123500000000000000},
{123456789123456789, -13, 123460000000000000},
{123456789123456789, -12, 123457000000000000},
{123456789123456789, -11, 123456800000000000},
{123456789123456789, -10, 123456790000000000},
{123456789123456789, -9, 123456790000000000},
{123456789123456789, -8, 123456789200000000},
{123456789123456789, -7, 123456789130000000},
{123456789123456789, -6, 123456789124000000},
{123456789123456789, -5, 123456789123500000},
{123456789123456789, -4, 123456789123460000},
{123456789123456789, -3, 123456789123457000},
{123456789123456789, -2, 123456789123456800},
{123456789123456789, -1, 123456789123456790},
{123456789123456789, 0, 123456789123456789},
{123456789123456789, 1, 123456789123456789},
{123456789123456789, 2, 123456789123456789},
{123456789123456789, 3, 123456789123456789},
{123456789123456789, 4, 123456789123456789},
{123456789123456789, 5, 123456789123456789},
{123456789123456789, 6, 123456789123456789},
{123456789123456789, 7, 123456789123456789},
{123456789123456789, 8, 123456789123456789},
{123456789123456789, 18, 123456789123456789}}},
{{18, 18},
{{123456789123456789, -1, 0},
{123456789123456789, 0, 1000000000000000000},
{123456789123456789, 1, 200000000000000000},
{123456789123456789, 2, 130000000000000000},
{123456789123456789, 3, 124000000000000000},
{123456789123456789, 4, 123500000000000000},
{123456789123456789, 5, 123460000000000000},
{123456789123456789, 6, 123457000000000000},
{123456789123456789, 7, 123456800000000000},
{123456789123456789, 8, 123456790000000000},
{123456789123456789, 9, 123456790000000000},
{123456789123456789, 10, 123456789200000000},
{123456789123456789, 11, 123456789130000000},
{123456789123456789, 12, 123456789124000000},
{123456789123456789, 13, 123456789123500000},
{123456789123456789, 14, 123456789123460000},
{123456789123456789, 15, 123456789123457000},
{123456789123456789, 16, 123456789123456800},
{123456789123456789, 17, 123456789123456790},
{123456789123456789, 18, 123456789123456789},
{123456789123456789, 19, 123456789123456789},
{123456789123456789, 20, 123456789123456789},
{123456789123456789, 21, 123456789123456789},
{123456789123456789, 22, 123456789123456789},
{123456789123456789, 23, 123456789123456789},
{123456789123456789, 24, 123456789123456789},
{123456789123456789, 25, 123456789123456789},
{123456789123456789, 26, 123456789123456789}}}};
// test cases for round and round_bankers function of decimal32
const static DecimalTestDataSet round_decimal32_cases = {
{{1, 0},
{
{1, -10, 0}, {1, -9, 0}, {1, -8, 0}, {1, -7, 0}, {1, -6, 0}, {1, -5, 0},
{1, -4, 0}, {1, -3, 0}, {1, -2, 0}, {1, -1, 0}, {1, 0, 1}, {1, 1, 1},
{1, 2, 1}, {1, 3, 1}, {1, 4, 1}, {1, 5, 1}, {1, 6, 1}, {1, 7, 1},
{1, 8, 1}, {1, 9, 1}, {1, 10, 1},
}},
{{1, 1},
{
{1, -10, 0}, {1, -9, 0}, {1, -8, 0}, {1, -7, 0}, {1, -6, 0}, {1, -5, 0},
{1, -4, 0}, {1, -3, 0}, {1, -2, 0}, {1, -1, 0}, {1, 0, 0}, {1, 1, 1},
{1, 2, 1}, {1, 3, 1}, {1, 4, 1}, {1, 5, 1}, {1, 6, 1}, {1, 7, 1},
{1, 8, 1}, {1, 9, 1}, {1, 10, 1},
}},
{{2, 0},
{
{12, -4, 0},
{12, -3, 0},
{12, -2, 0},
{12, -1, 10},
{12, 0, 12},
{12, 1, 12},
{12, 2, 12},
{12, 3, 12},
{12, 4, 12},
}},
{{2, 1},
{
{12, -4, 0},
{12, -3, 0},
{12, -2, 0},
{12, -1, 0},
{12, 0, 10},
{12, 1, 12},
{12, 2, 12},
{12, 3, 12},
{12, 4, 12},
}},
{{2, 2},
{
{12, -4, 0},
{12, -3, 0},
{12, -2, 0},
{12, -1, 0},
{12, 0, 0},
{12, 1, 10},
{12, 2, 12},
{12, 3, 12},
{12, 4, 12},
}},
{{9, 0},
{
{123456789, -10, 0}, {123456789, -9, 0}, {123456789, -8, 100000000},
{123456789, -7, 120000000}, {123456789, -6, 123000000}, {123456789, -5, 123500000},
{123456789, -4, 123460000}, {123456789, -3, 123457000}, {123456789, -2, 123456800},
{123456789, -1, 123456790}, {123456789, 0, 123456789}, {123456789, 1, 123456789},
{123456789, 2, 123456789}, {123456789, 3, 123456789}, {123456789, 4, 123456789},
{123456789, 5, 123456789}, {123456789, 6, 123456789}, {123456789, 7, 123456789},
{123456789, 8, 123456789}, {123456789, 9, 123456789}, {123456789, 10, 123456789},
}},
{{9, 1},
{
{123456789, -10, 0}, {123456789, -9, 0}, {123456789, -8, 0},
{123456789, -7, 100000000}, {123456789, -6, 120000000}, {123456789, -5, 123000000},
{123456789, -4, 123500000}, {123456789, -3, 123460000}, {123456789, -2, 123457000},
{123456789, -1, 123456800}, {123456789, 0, 123456790}, {123456789, 1, 123456789},
{123456789, 2, 123456789}, {123456789, 3, 123456789}, {123456789, 4, 123456789},
{123456789, 5, 123456789}, {123456789, 6, 123456789}, {123456789, 7, 123456789},
{123456789, 8, 123456789}, {123456789, 9, 123456789}, {123456789, 10, 123456789},
}},
{{9, 2},
{
{123456789, -10, 0}, {123456789, -9, 0}, {123456789, -8, 0},
{123456789, -7, 0}, {123456789, -6, 100000000}, {123456789, -5, 120000000},
{123456789, -4, 123000000}, {123456789, -3, 123500000}, {123456789, -2, 123460000},
{123456789, -1, 123457000}, {123456789, 0, 123456800}, {123456789, 1, 123456790},
{123456789, 2, 123456789}, {123456789, 3, 123456789}, {123456789, 4, 123456789},
{123456789, 5, 123456789}, {123456789, 6, 123456789}, {123456789, 7, 123456789},
{123456789, 8, 123456789}, {123456789, 9, 123456789}, {123456789, 10, 123456789},
}},
{{9, 3},
{
{123456789, -10, 0}, {123456789, -9, 0}, {123456789, -8, 0},
{123456789, -7, 0}, {123456789, -6, 0}, {123456789, -5, 100000000},
{123456789, -4, 120000000}, {123456789, -3, 123000000}, {123456789, -2, 123500000},
{123456789, -1, 123460000}, {123456789, 0, 123457000}, {123456789, 1, 123456800},
{123456789, 2, 123456790}, {123456789, 3, 123456789}, {123456789, 4, 123456789},
{123456789, 5, 123456789}, {123456789, 6, 123456789}, {123456789, 7, 123456789},
{123456789, 8, 123456789}, {123456789, 9, 123456789}, {123456789, 10, 123456789},
}},
{{9, 4},
{
{123456789, -10, 0}, {123456789, -9, 0}, {123456789, -8, 0},
{123456789, -7, 0}, {123456789, -6, 0}, {123456789, -5, 0},
{123456789, -4, 100000000}, {123456789, -3, 120000000}, {123456789, -2, 123000000},
{123456789, -1, 123500000}, {123456789, 0, 123460000}, {123456789, 1, 123457000},
{123456789, 2, 123456800}, {123456789, 3, 123456790}, {123456789, 4, 123456789},
{123456789, 5, 123456789}, {123456789, 6, 123456789}, {123456789, 7, 123456789},
{123456789, 8, 123456789}, {123456789, 9, 123456789}, {123456789, 10, 123456789},
}},
{{9, 5},
{
{123456789, -10, 0}, {123456789, -9, 0}, {123456789, -8, 0},
{123456789, -7, 0}, {123456789, -6, 0}, {123456789, -5, 0},
{123456789, -4, 0}, {123456789, -3, 100000000}, {123456789, -2, 120000000},
{123456789, -1, 123000000}, {123456789, 0, 123500000}, {123456789, 1, 123460000},
{123456789, 2, 123457000}, {123456789, 3, 123456800}, {123456789, 4, 123456790},
{123456789, 5, 123456789}, {123456789, 6, 123456789}, {123456789, 7, 123456789},
{123456789, 8, 123456789}, {123456789, 9, 123456789}, {123456789, 10, 123456789},
}},
{{9, 6},
{
{123456789, -10, 0}, {123456789, -9, 0}, {123456789, -8, 0},
{123456789, -7, 0}, {123456789, -6, 0}, {123456789, -5, 0},
{123456789, -4, 0}, {123456789, -3, 0}, {123456789, -2, 100000000},
{123456789, -1, 120000000}, {123456789, 0, 123000000}, {123456789, 1, 123500000},
{123456789, 2, 123460000}, {123456789, 3, 123457000}, {123456789, 4, 123456800},
{123456789, 5, 123456790}, {123456789, 6, 123456789}, {123456789, 7, 123456789},
{123456789, 8, 123456789}, {123456789, 9, 123456789}, {123456789, 10, 123456789},
}},
{{9, 7},
{
{123456789, -10, 0}, {123456789, -9, 0}, {123456789, -8, 0},
{123456789, -7, 0}, {123456789, -6, 0}, {123456789, -5, 0},
{123456789, -4, 0}, {123456789, -3, 0}, {123456789, -2, 0},
{123456789, -1, 100000000}, {123456789, 0, 120000000}, {123456789, 1, 123000000},
{123456789, 2, 123500000}, {123456789, 3, 123460000}, {123456789, 4, 123457000},
{123456789, 5, 123456800}, {123456789, 6, 123456790}, {123456789, 7, 123456789},
{123456789, 8, 123456789}, {123456789, 9, 123456789}, {123456789, 10, 123456789},
}},
{{9, 8},
{
{123456789, -10, 0}, {123456789, -9, 0}, {123456789, -8, 0},
{123456789, -7, 0}, {123456789, -6, 0}, {123456789, -5, 0},
{123456789, -4, 0}, {123456789, -3, 0}, {123456789, -2, 0},
{123456789, -1, 0}, {123456789, 0, 100000000}, {123456789, 1, 120000000},
{123456789, 2, 123000000}, {123456789, 3, 123500000}, {123456789, 4, 123460000},
{123456789, 5, 123457000}, {123456789, 6, 123456800}, {123456789, 7, 123456790},
{123456789, 8, 123456789}, {123456789, 9, 123456789}, {123456789, 10, 123456789},
}},
{{9, 9},
{
{123456789, -10, 0}, {123456789, -9, 0}, {123456789, -8, 0},
{123456789, -7, 0}, {123456789, -6, 0}, {123456789, -5, 0},
{123456789, -4, 0}, {123456789, -3, 0}, {123456789, -2, 0},
{123456789, -1, 0}, {123456789, 0, 0}, {123456789, 1, 100000000},
{123456789, 2, 120000000}, {123456789, 3, 123000000}, {123456789, 4, 123500000},
{123456789, 5, 123460000}, {123456789, 6, 123457000}, {123456789, 7, 123456800},
{123456789, 8, 123456790}, {123456789, 9, 123456789}, {123456789, 10, 123456789},
}}};
// test cases for round and round_bankers function of decimal64
const static DecimalTestDataSet round_decimal64_cases = {
{{10, 0},
{{1234567891, -11, 0}, {1234567891, -10, 0}, {1234567891, -9, 1000000000},
{1234567891, -8, 1200000000}, {1234567891, -7, 1230000000}, {1234567891, -6, 1235000000},
{1234567891, -5, 1234600000}, {1234567891, -4, 1234570000}, {1234567891, -3, 1234568000},
{1234567891, -2, 1234567900}, {1234567891, -1, 1234567890}, {1234567891, 0, 1234567891},
{1234567891, 1, 1234567891}, {1234567891, 2, 1234567891}, {1234567891, 3, 1234567891},
{1234567891, 4, 1234567891}, {1234567891, 5, 1234567891}, {1234567891, 6, 1234567891},
{1234567891, 7, 1234567891}, {1234567891, 8, 1234567891}, {1234567891, 9, 1234567891},
{1234567891, 10, 1234567891}, {1234567891, 11, 1234567891}}},
{{10, 1},
{{1234567891, -11, 0}, {1234567891, -10, 0}, {1234567891, -9, 0},
{1234567891, -8, 1000000000}, {1234567891, -7, 1200000000}, {1234567891, -6, 1230000000},
{1234567891, -5, 1235000000}, {1234567891, -4, 1234600000}, {1234567891, -3, 1234570000},
{1234567891, -2, 1234568000}, {1234567891, -1, 1234567900}, {1234567891, 0, 1234567890},
{1234567891, 1, 1234567891}, {1234567891, 2, 1234567891}, {1234567891, 3, 1234567891},
{1234567891, 4, 1234567891}, {1234567891, 5, 1234567891}, {1234567891, 6, 1234567891},
{1234567891, 7, 1234567891}, {1234567891, 8, 1234567891}, {1234567891, 9, 1234567891},
{1234567891, 10, 1234567891}, {1234567891, 11, 1234567891}
}},
{{10, 2},
{{1234567891, -11, 0}, {1234567891, -10, 0}, {1234567891, -9, 0},
{1234567891, -8, 0}, {1234567891, -7, 1000000000}, {1234567891, -6, 1200000000},
{1234567891, -5, 1230000000}, {1234567891, -4, 1235000000}, {1234567891, -3, 1234600000},
{1234567891, -2, 1234570000}, {1234567891, -1, 1234568000}, {1234567891, 0, 1234567900},
{1234567891, 1, 1234567890}, {1234567891, 2, 1234567891}, {1234567891, 3, 1234567891},
{1234567891, 4, 1234567891}, {1234567891, 5, 1234567891}, {1234567891, 6, 1234567891},
{1234567891, 7, 1234567891}, {1234567891, 8, 1234567891}, {1234567891, 9, 1234567891},
{1234567891, 10, 1234567891}, {1234567891, 11, 1234567891}}},
{{10, 9},
{{1234567891, -11, 0}, {1234567891, -10, 0}, {1234567891, -9, 0},
{1234567891, -8, 0}, {1234567891, -7, 0}, {1234567891, -6, 0},
{1234567891, -5, 0}, {1234567891, -4, 0}, {1234567891, -3, 0},
{1234567891, -2, 0}, {1234567891, -1, 0}, {1234567891, 0, 1000000000},
{1234567891, 1, 1200000000}, {1234567891, 2, 1230000000}, {1234567891, 3, 1235000000},
{1234567891, 4, 1234600000}, {1234567891, 5, 1234570000}, {1234567891, 6, 1234568000},
{1234567891, 7, 1234567900}, {1234567891, 8, 1234567890}, {1234567891, 9, 1234567891},
{1234567891, 10, 1234567891}, {1234567891, 11, 1234567891}}},
{{18, 0},
{{123456789123456789, -19, 0},
{123456789123456789, -18, 0},
{123456789123456789, -17, 100000000000000000},
{123456789123456789, -16, 120000000000000000},
{123456789123456789, -15, 123000000000000000},
{123456789123456789, -14, 123500000000000000},
{123456789123456789, -13, 123460000000000000},
{123456789123456789, -12, 123457000000000000},
{123456789123456789, -11, 123456800000000000},
{123456789123456789, -10, 123456790000000000},
{123456789123456789, -9, 123456789000000000},
{123456789123456789, -8, 123456789100000000},
{123456789123456789, -7, 123456789120000000},
{123456789123456789, -6, 123456789123000000},
{123456789123456789, -5, 123456789123500000},
{123456789123456789, -4, 123456789123460000},
{123456789123456789, -3, 123456789123457000},
{123456789123456789, -2, 123456789123456800},
{123456789123456789, -1, 123456789123456790},
{123456789123456789, 0, 123456789123456789},
{123456789123456789, 1, 123456789123456789},
{123456789123456789, 2, 123456789123456789},
{123456789123456789, 3, 123456789123456789},
{123456789123456789, 4, 123456789123456789},
{123456789123456789, 5, 123456789123456789},
{123456789123456789, 6, 123456789123456789},
{123456789123456789, 7, 123456789123456789},
{123456789123456789, 8, 123456789123456789},
{123456789123456789, 18, 123456789123456789}}},
{{18, 18},
{{123456789123456789, -1, 0},
{123456789123456789, 0, 0},
{123456789123456789, 1, 100000000000000000},
{123456789123456789, 2, 120000000000000000},
{123456789123456789, 3, 123000000000000000},
{123456789123456789, 4, 123500000000000000},
{123456789123456789, 5, 123460000000000000},
{123456789123456789, 6, 123457000000000000},
{123456789123456789, 7, 123456800000000000},
{123456789123456789, 8, 123456790000000000},
{123456789123456789, 9, 123456789000000000},
{123456789123456789, 10, 123456789100000000},
{123456789123456789, 11, 123456789120000000},
{123456789123456789, 12, 123456789123000000},
{123456789123456789, 13, 123456789123500000},
{123456789123456789, 14, 123456789123460000},
{123456789123456789, 15, 123456789123457000},
{123456789123456789, 16, 123456789123456800},
{123456789123456789, 17, 123456789123456790},
{123456789123456789, 18, 123456789123456789},
{123456789123456789, 19, 123456789123456789},
{123456789123456789, 20, 123456789123456789},
{123456789123456789, 21, 123456789123456789},
{123456789123456789, 22, 123456789123456789},
{123456789123456789, 23, 123456789123456789},
{123456789123456789, 24, 123456789123456789},
{123456789123456789, 25, 123456789123456789},
{123456789123456789, 26, 123456789123456789}}}};
// test cases for truncate function of float32
FloatTestDataSet trunc_float32_cases = {
{10.0, 1, 10.0}, {10.0, 0, 10.0}, {-124.3867, -2, -100}, {123.123456, 4, 123.123400}};
// test cases for truncate function of float64
FloatTestDataSet trunc_float64_cases = {{10.0, 1, 10.0},
{10.0, 0, 10.0},
{-124.3867, -2, -100},
{123.123456, 1, 123.100000},
{123456789.123456, 4, 123456789.123400}};
// test cases for floor function of float32
FloatTestDataSet floor_float32_cases = {
{10.1234, 1, 10.1}, {10.3, 0, 10.0}, {-124.3867, -2, -200}, {123.123456, 4, 123.123400}};
// test cases for floor function of float64
FloatTestDataSet floor_float64_cases = {{10.1234, 1, 10.1},
{10.3, 0, 10.0},
{-124.3867, -2, -200},
{123.123456, 4, 123.123400},
{123456789.123456, 5, 123456789.123450}};
// test cases for ceil function of float32
FloatTestDataSet ceil_float32_cases = {
{10.1234, 1, 10.2}, {10.3, 0, 11}, {-124.3867, -2, -100}, {123.123456, 4, 123.123500}};
// test cases for ceil function of float64
FloatTestDataSet ceil_float64_cases = {{10.1234, 1, 10.2},
{10.3, 0, 11},
{-124.3867, -2, -100},
{123.123456, 4, 123.123500},
{123456789.123456, 4, 123456789.123500}};
// test cases for round function of float32
FloatTestDataSet round_float32_cases = {{2.5, 0, 3.0},
{10.1234, 1, 10.1},
{10.3, 0, 10},
{-124.3867, -2, -100},
{123.123456, 4, 123.123500}};
// test cases for round function of float64
FloatTestDataSet round_float64_cases = {{2.5, 0, 3.0},
{10.1234, 1, 10.1},
{10.3, 0, 10},
{-124.3867, -2, -100},
{123.123456, 4, 123.123500},
{123456789.123456, 4, 123456789.123500}};
// test cases for round_bankers function of float32
FloatTestDataSet round_bankers_float32_cases = {{2.5, 0, 2.0},
{10.1234, 1, 10.1},
{10.3, 0, 10},
{-124.3867, -2, -100},
{123.123456, 4, 123.123500}};
// test cases for round_bankers function of float64
FloatTestDataSet round_bankers_float64_cases = {{2.5, 0, 2.0},
{10.1234, 1, 10.1},
{10.3, 0, 10},
{-124.3867, -2, -100},
{123.123456, 4, 123.123500},
{123456789.123456, 4, 123456789.123500}};
template <typename FuncType, typename DecimalType>
static void decimal_checker(const DecimalTestDataSet& round_test_cases, bool decimal_col_is_const) {
static_assert(IsDecimalNumber<DecimalType>);
auto func = std::dynamic_pointer_cast<FuncType>(FuncType::create());
FunctionContext* context = nullptr;
for (const auto& test_case : round_test_cases) {
Block block;
size_t res_idx = 2;
ColumnNumbers arguments = {0, 1, 2};
const int precision = test_case.first.first;
const int scale = test_case.first.second;
const size_t input_rows_count = test_case.second.size();
auto col_general = ColumnDecimal<DecimalType::PType>::create(input_rows_count, scale);
auto col_scale = ColumnInt32::create();
auto col_res_expected = ColumnDecimal<DecimalType::PType>::create(input_rows_count, scale);
size_t rid = 0;
for (const auto& test_date : test_case.second) {
auto input = std::get<0>(test_date);
auto scale_arg = std::get<1>(test_date);
auto expectation = std::get<2>(test_date);
col_general->get_element(rid) = DecimalType(input);
col_scale->insert(Field::create_field<TYPE_INT>(scale_arg));
col_res_expected->get_element(rid) = DecimalType(expectation);
rid++;
}
if (decimal_col_is_const) {
block.insert({ColumnConst::create(col_general->clone_resized(1), 1),
std::make_shared<DataTypeDecimal<DecimalType::PType>>(precision, scale),
"col_general_const"});
} else {
block.insert({col_general->clone(),
std::make_shared<DataTypeDecimal<DecimalType::PType>>(precision, scale),
"col_general"});
}
block.insert({col_scale->clone(), std::make_shared<DataTypeInt32>(), "col_scale"});
block.insert({nullptr,
std::make_shared<DataTypeDecimal<DecimalType::PType>>(precision, scale),
"col_res"});
auto status = func->execute_impl(context, block, arguments, res_idx, input_rows_count);
auto col_res = assert_cast<const ColumnDecimal<DecimalType::PType>&>(
*(block.get_by_position(res_idx).column));
EXPECT_TRUE(status.ok());
for (size_t i = 0; i < input_rows_count; ++i) {
auto res = col_res.get_element(i);
auto res_expected = col_res_expected->get_element(i);
EXPECT_EQ(res, res_expected)
<< "function " << func->get_name() << " decimal_type "
<< type_to_string(DecimalType::PType) << " precision " << precision
<< " input_scale " << scale << " input " << col_general->get_element(i)
<< " scale_arg " << col_scale->get_element(i) << " decimal_col_is_const "
<< decimal_col_is_const << " res " << res << " res_expected " << res_expected;
}
}
}
template <typename FuncType, typename DecimalType>
static void check_decimal_rounding(typename DecimalType::NativeType input, int input_precision,
int input_scale, int scale_arg, int result_precision,
int result_scale, typename DecimalType::NativeType expected,
bool decimal_col_is_const, bool scale_col_is_const) {
auto func = std::dynamic_pointer_cast<FuncType>(FuncType::create());
auto col_general = ColumnDecimal<DecimalType::PType>::create(1, input_scale);
col_general->get_element(0) = DecimalType(input);
auto col_scale = ColumnInt32::create();
col_scale->insert(Field::create_field<TYPE_INT>(scale_arg));
Block block;
auto input_type =
std::make_shared<DataTypeDecimal<DecimalType::PType>>(input_precision, input_scale);
if (decimal_col_is_const) {
block.insert({ColumnConst::create(std::move(col_general), 1), std::move(input_type),
"col_general"});
} else {
block.insert({std::move(col_general), std::move(input_type), "col_general"});
}
if (scale_col_is_const) {
block.insert({ColumnConst::create(std::move(col_scale), 1),
std::make_shared<DataTypeInt32>(), "col_scale"});
} else {
block.insert({std::move(col_scale), std::make_shared<DataTypeInt32>(), "col_scale"});
}
block.insert(
{nullptr,
std::make_shared<DataTypeDecimal<DecimalType::PType>>(result_precision, result_scale),
"col_res"});
const ColumnNumbers arguments = {0, 1};
ASSERT_TRUE(func->execute_impl(nullptr, block, arguments, 2, 1).ok());
const auto& result =
assert_cast<const ColumnDecimal<DecimalType::PType>&>(*block.get_by_position(2).column);
EXPECT_EQ(result.get_element(0).value, expected);
}
template <typename FuncType, PrimitiveType FloatPType>
static void float_checker(const FloatTestDataSet& round_test_cases, bool float_col_is_const) {
using FloatType = typename PrimitiveTypeTraits<FloatPType>::CppType;
static_assert(IsNumber<FloatType>);
auto func = std::dynamic_pointer_cast<FuncType>(FuncType::create());
FunctionContext* context = nullptr;
for (const auto& test_case : round_test_cases) {
auto col_general = ColumnVector<FloatPType>::create(1);
auto col_scale = ColumnInt32::create();
auto col_res_expected = ColumnVector<FloatPType>::create(1);
size_t rid = 0;
Block block;
size_t res_idx = 2;
ColumnNumbers arguments = {0, 1, 2};
auto input = std::get<0>(test_case);
auto scale_arg = std::get<1>(test_case);
auto expectation = std::get<2>(test_case);
col_general->get_element(rid) = FloatType(input);
col_scale->insert(Field::create_field<TYPE_INT>(scale_arg));
col_res_expected->get_element(rid) = FloatType(expectation);
rid++;
if (float_col_is_const) {
block.insert({ColumnConst::create(col_general->clone_resized(1), 1),
std::make_shared<DataTypeNumber<FloatPType>>(), "col_general_const"});
} else {
block.insert({col_general->clone(), std::make_shared<DataTypeNumber<FloatPType>>(),
"col_general"});
}
block.insert({col_scale->clone(), std::make_shared<DataTypeInt32>(), "col_scale"});
block.insert({nullptr, std::make_shared<DataTypeNumber<FloatPType>>(), "col_res"});
auto status = func->execute_impl(context, block, arguments, res_idx, 1);
auto col_res = assert_cast<const ColumnVector<FloatPType>&>(
*(block.get_by_position(res_idx).column));
EXPECT_TRUE(status.ok());
auto res = col_res.get_element(0);
auto res_expected = col_res_expected->get_element(0);
EXPECT_EQ(res, res_expected)
<< "function " << func->get_name() << " float_type " << type_to_string(FloatPType)
<< " input " << col_general->get_element(0) << " scale_arg "
<< col_scale->get_element(0) << " float_col_is_const " << float_col_is_const
<< " res " << res << " res_expected " << res_expected;
}
}
/// tests for func(Column, Column) with decimal input
TEST(RoundFunctionTest, normal_decimal) {
decimal_checker<Decimal32TruncateFunction, Decimal32>(trunc_floor_decimal32_cases, false);
decimal_checker<Decimal64TruncateFunction, Decimal64>(trunc_floor_decimal64_cases, false);
decimal_checker<Decimal32FloorFunction, Decimal32>(trunc_floor_decimal32_cases, false);
decimal_checker<Decimal64FloorFunction, Decimal64>(trunc_floor_decimal64_cases, false);
decimal_checker<Decimal32CeilFunction, Decimal32>(ceil_decimal32_cases, false);
decimal_checker<Decimal64CeilFunction, Decimal64>(ceil_decimal64_cases, false);
decimal_checker<Decimal32RoundFunction, Decimal32>(round_decimal32_cases, false);
decimal_checker<Decimal64RoundFunction, Decimal64>(round_decimal64_cases, false);
decimal_checker<Decimal32RoundBankersFunction, Decimal32>(round_decimal32_cases, false);
decimal_checker<Decimal64RoundBankersFunction, Decimal64>(round_decimal64_cases, false);
}
/// tests for func(ColumnConst, Column) with decimal input
TEST(RoundFunctionTest, normal_decimal_const) {
decimal_checker<Decimal32TruncateFunction, Decimal32>(trunc_floor_decimal32_cases, true);
decimal_checker<Decimal64TruncateFunction, Decimal64>(trunc_floor_decimal64_cases, true);
decimal_checker<Decimal32FloorFunction, Decimal32>(trunc_floor_decimal32_cases, true);
decimal_checker<Decimal64FloorFunction, Decimal64>(trunc_floor_decimal64_cases, true);
decimal_checker<Decimal32CeilFunction, Decimal32>(ceil_decimal32_cases, true);
decimal_checker<Decimal64CeilFunction, Decimal64>(ceil_decimal64_cases, true);
decimal_checker<Decimal32RoundFunction, Decimal32>(round_decimal32_cases, true);
decimal_checker<Decimal64RoundFunction, Decimal64>(round_decimal64_cases, true);
decimal_checker<Decimal32RoundBankersFunction, Decimal32>(round_decimal32_cases, true);
decimal_checker<Decimal64RoundBankersFunction, Decimal64>(round_decimal64_cases, true);
}
TEST(RoundFunctionTest, decimal_scale_boundaries) {
check_decimal_rounding<Decimal32CeilFunction, Decimal32>(1, 9, 9, -1, 9, 0, 10, false, true);
check_decimal_rounding<Decimal32FloorFunction, Decimal32>(-1, 9, 9, -1, 9, 0, -10, false, true);
const Int128 scale20 = common::exp10_i128(20);
check_decimal_rounding<Decimal128CeilFunction, Decimal128V3>(scale20 + scale20 / 2, 38, 20, 0,
38, 20, scale20 * 2, false, false);
check_decimal_rounding<Decimal128FloorFunction, Decimal128V3>(scale20 + scale20 / 2, 38, 20, 0,
38, 20, scale20, false, false);
check_decimal_rounding<Decimal128CeilFunction, Decimal128V3>(scale20 + scale20 / 2, 38, 20, 0,
38, 20, scale20 * 2, true, false);
check_decimal_rounding<Decimal128FloorFunction, Decimal128V3>(scale20 + scale20 / 2, 38, 20, 0,
38, 20, scale20, true, false);
const Int128 decimal128_fraction = common::exp10_i128(37) * 9;
check_decimal_rounding<Decimal128CeilFunction, Decimal128V3>(decimal128_fraction, 38, 38, 0, 38,
0, 1, false, true);
check_decimal_rounding<Decimal128FloorFunction, Decimal128V3>(-decimal128_fraction, 38, 38, 0,
38, 0, -1, false, true);
const Int128 decimal128_half = common::exp10_i128(37) * 5;
check_decimal_rounding<Decimal128RoundFunction, Decimal128V3>(decimal128_half, 38, 38, 0, 38, 0,
1, false, true);
check_decimal_rounding<Decimal128RoundFunction, Decimal128V3>(-decimal128_half, 38, 38, 0, 38,
0, -1, false, true);
check_decimal_rounding<Decimal128RoundBankersFunction, Decimal128V3>(decimal128_half, 38, 38, 0,
38, 0, 0, false, true);
check_decimal_rounding<Decimal128RoundBankersFunction, Decimal128V3>(-decimal128_half, 38, 38,
0, 38, 0, 0, false, true);
const wide::Int256 decimal256_fraction = common::exp10_i256(75) * 9;
check_decimal_rounding<Decimal256CeilFunction, Decimal256>(decimal256_fraction, 76, 76, 0, 76,
0, 1, false, true);
check_decimal_rounding<Decimal256FloorFunction, Decimal256>(-decimal256_fraction, 76, 76, 0, 76,
0, -1, false, true);
}
/// tests for func(Column, Column) with float input
TEST(RoundFunctionTest, normal_float) {
float_checker<FloatTruncateFunction, TYPE_FLOAT>(trunc_float32_cases, false);
float_checker<FloatTruncateFunction, TYPE_DOUBLE>(trunc_float64_cases, false);
float_checker<FloatFloorFunction, TYPE_FLOAT>(floor_float32_cases, false);
float_checker<FloatFloorFunction, TYPE_DOUBLE>(floor_float64_cases, false);
float_checker<FloatCeilFunction, TYPE_FLOAT>(ceil_float32_cases, false);
float_checker<FloatCeilFunction, TYPE_DOUBLE>(ceil_float64_cases, false);
float_checker<FloatRoundFunction, TYPE_FLOAT>(round_float32_cases, false);
float_checker<FloatRoundFunction, TYPE_DOUBLE>(round_float64_cases, false);
float_checker<FloatRoundBankersFunction, TYPE_FLOAT>(round_bankers_float32_cases, false);
float_checker<FloatRoundBankersFunction, TYPE_DOUBLE>(round_bankers_float64_cases, false);
}
/// tests for func(ColumnConst, Column) with float input
TEST(RoundFunctionTest, normal_float_const) {
float_checker<FloatTruncateFunction, TYPE_FLOAT>(trunc_float32_cases, true);
float_checker<FloatTruncateFunction, TYPE_DOUBLE>(trunc_float64_cases, true);
float_checker<FloatFloorFunction, TYPE_FLOAT>(floor_float32_cases, true);
float_checker<FloatFloorFunction, TYPE_DOUBLE>(floor_float64_cases, true);
float_checker<FloatCeilFunction, TYPE_FLOAT>(ceil_float32_cases, true);
float_checker<FloatCeilFunction, TYPE_DOUBLE>(ceil_float64_cases, true);
float_checker<FloatRoundFunction, TYPE_FLOAT>(round_float32_cases, true);
float_checker<FloatRoundFunction, TYPE_DOUBLE>(round_float64_cases, true);
float_checker<FloatRoundBankersFunction, TYPE_FLOAT>(round_bankers_float32_cases, true);
float_checker<FloatRoundBankersFunction, TYPE_DOUBLE>(round_bankers_float64_cases, true);
}
} // namespace doris
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