2022-10-18 12:38:48 +00:00
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#pragma once
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#include <type_traits>
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#include <Core/AccurateComparison.h>
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#include <DataTypes/DataTypesDecimal.h>
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#include <Columns/ColumnsNumber.h>
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#include <Functions/IFunction.h>
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#include <Functions/FunctionHelpers.h>
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#include <Functions/castTypeToEither.h>
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#include <IO/WriteHelpers.h>
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2022-10-28 12:31:03 +00:00
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#include <Common/logger_useful.h>
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#include <Poco/Logger.h>
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#include <Loggers/Loggers.h>
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2022-10-18 12:38:48 +00:00
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namespace DB
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{
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namespace ErrorCodes
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{
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extern const int DECIMAL_OVERFLOW;
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extern const int ILLEGAL_COLUMN;
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extern const int ILLEGAL_TYPE_OF_ARGUMENT;
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extern const int NUMBER_OF_ARGUMENTS_DOESNT_MATCH;
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2022-10-19 21:56:52 +00:00
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extern const int ILLEGAL_DIVISION;
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2022-10-18 12:38:48 +00:00
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}
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struct DecimalOpHerpers
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{
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2022-10-28 12:31:03 +00:00
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static std::vector<UInt8> multiply(const std::vector<UInt8> & num1, const std::vector<UInt8> & num2)
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2022-10-18 12:38:48 +00:00
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{
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2022-11-03 13:55:14 +00:00
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UInt16 const len1 = num1.size();
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UInt16 const len2 = num2.size();
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2022-10-18 12:38:48 +00:00
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if (len1 == 0 || len2 == 0)
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return {0};
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2022-11-12 21:27:14 +00:00
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std::vector<UInt8> result(len1 + len2, 0);
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2022-11-11 14:54:41 +00:00
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UInt16 i_n1 = 0;
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UInt16 i_n2;
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2022-10-18 12:38:48 +00:00
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2022-11-11 14:54:41 +00:00
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for (Int32 i = len1 - 1; i >= 0; --i)
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2022-10-18 12:38:48 +00:00
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{
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2022-11-03 13:55:14 +00:00
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UInt16 carry = 0;
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2022-10-18 12:38:48 +00:00
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i_n2 = 0;
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2022-11-11 14:54:41 +00:00
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for (Int32 j = len2 - 1; j >= 0; --j)
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2022-10-18 12:38:48 +00:00
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{
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2022-11-14 00:07:21 +00:00
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if (unlikely(i_n1 + i_n2 >= len1 + len2))
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2022-10-31 20:18:08 +00:00
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throw DB::Exception("Numeric overflow: result bigger that Decimal256", ErrorCodes::DECIMAL_OVERFLOW);
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2022-11-11 14:54:41 +00:00
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UInt16 sum = num1[i] * num2[j] + result[i_n1 + i_n2] + carry;
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2022-10-18 12:38:48 +00:00
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carry = sum / 10;
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result[i_n1 + i_n2] = sum % 10;
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++i_n2;
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}
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if (carry > 0)
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2022-11-14 00:07:21 +00:00
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{
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if (unlikely(i_n1 + i_n2 >= len1 + len2))
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throw DB::Exception("Numeric overflow: result bigger that Decimal256", ErrorCodes::DECIMAL_OVERFLOW);
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2022-10-18 12:38:48 +00:00
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result[i_n1 + i_n2] += carry;
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2022-11-14 00:07:21 +00:00
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}
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2022-10-18 12:38:48 +00:00
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++i_n1;
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}
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2022-11-03 13:55:14 +00:00
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Int32 i = static_cast<Int32>(result.size() - 1);
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2022-10-18 12:38:48 +00:00
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while (i >= 0 && result[i] == 0)
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2022-10-28 12:31:03 +00:00
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{
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result.pop_back();
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--i;
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}
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2022-10-18 12:38:48 +00:00
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if (i == -1)
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return {0};
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std::reverse(result.begin(), result.end());
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return result;
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}
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2022-10-28 12:31:03 +00:00
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static std::vector<UInt8> divide(const std::vector<UInt8> & number, const Int256 & divisor)
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2022-10-18 12:38:48 +00:00
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{
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2022-10-28 12:31:03 +00:00
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std::vector<UInt8> result;
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2022-11-11 20:59:03 +00:00
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const auto max_index = number.size() - 1;
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2022-10-18 12:38:48 +00:00
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2022-11-11 20:59:03 +00:00
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UInt16 idx = 0;
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2022-11-14 00:07:21 +00:00
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Int256 temp = 0;
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2022-11-11 23:07:25 +00:00
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while (temp < divisor && max_index > idx)
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2022-11-11 20:59:03 +00:00
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{
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temp = temp * 10 + number[idx];
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++idx;
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2022-11-11 20:59:03 +00:00
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}
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if (unlikely(temp == 0))
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return {0};
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2022-10-18 12:38:48 +00:00
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2022-11-14 00:07:21 +00:00
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while (max_index >= idx)
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2022-10-19 11:00:46 +00:00
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{
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2022-11-11 23:07:25 +00:00
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result.push_back(temp / divisor);
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2022-11-14 00:07:21 +00:00
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temp = (temp % divisor) * 10 + number[idx];
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++idx;
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2022-10-18 12:38:48 +00:00
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}
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2022-11-14 00:07:21 +00:00
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result.push_back(temp / divisor);
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2022-10-18 12:38:48 +00:00
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2022-10-19 11:00:46 +00:00
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return result;
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2022-10-18 12:38:48 +00:00
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}
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2022-10-28 12:31:03 +00:00
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static std::vector<UInt8> toDigits(Int256 x)
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2022-10-18 12:38:48 +00:00
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{
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std::vector<UInt8> result;
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if (x >= 10)
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2022-10-28 12:31:03 +00:00
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result = toDigits(x / 10);
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2022-10-18 12:38:48 +00:00
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result.push_back(x % 10);
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return result;
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}
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2022-10-31 20:18:08 +00:00
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static UInt256 fromDigits(const std::vector<UInt8> & digits)
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2022-10-19 11:00:46 +00:00
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{
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2022-10-18 12:38:48 +00:00
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Int256 result = 0;
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2022-10-28 12:31:03 +00:00
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Int256 scale = 0;
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2022-10-20 10:55:18 +00:00
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for (auto i = digits.rbegin(); i != digits.rend(); ++i)
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2022-10-19 11:00:46 +00:00
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{
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2022-10-28 12:31:03 +00:00
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result += DecimalUtils::scaleMultiplier<Decimal256>(scale) * (*i);
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++scale;
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2022-10-18 12:38:48 +00:00
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}
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return result;
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}
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};
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struct DivideDecimalsImpl
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{
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static constexpr auto name = "divideDecimal";
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template <typename FirstType, typename SecondType>
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static inline NO_SANITIZE_UNDEFINED Decimal256
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execute(FirstType a, SecondType b, UInt16 scale_a, UInt16 scale_b, UInt16 result_scale)
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{
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2022-10-19 21:56:52 +00:00
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if (b.value == 0)
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throw DB::Exception("Division by zero", ErrorCodes::ILLEGAL_DIVISION);
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if (a.value == 0)
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return Decimal256(0);
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2022-10-18 12:38:48 +00:00
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Int8 sign_a = a.value < 0 ? -1 : 1;
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Int8 sign_b = b.value < 0 ? -1 : 1;
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2022-10-19 21:56:52 +00:00
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2022-10-31 20:18:08 +00:00
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std::vector<UInt8> a_digits = DecimalOpHerpers::toDigits(a.value * sign_a);
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2022-10-18 12:38:48 +00:00
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2022-10-31 20:18:08 +00:00
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while (scale_a < scale_b + result_scale)
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{
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2022-10-18 12:38:48 +00:00
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a_digits.push_back(0);
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2022-10-28 12:31:03 +00:00
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++scale_a;
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2022-10-18 12:38:48 +00:00
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}
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2022-11-14 14:52:17 +00:00
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while (scale_a > scale_b + result_scale && !a_digits.empty())
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2022-10-19 21:56:52 +00:00
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{
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2022-11-14 09:27:31 +00:00
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a_digits.pop_back();
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2022-10-28 12:31:03 +00:00
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--scale_a;
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2022-10-19 21:56:52 +00:00
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}
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2022-11-14 09:27:31 +00:00
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if (a_digits.empty())
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return Decimal256(0);
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std::vector<UInt8> divided = DecimalOpHerpers::divide(a_digits, b.value * sign_b);
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2022-10-18 12:38:48 +00:00
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if (divided.size() > 76)
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2022-10-19 21:56:52 +00:00
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throw DB::Exception("Numeric overflow: result bigger that Decimal256", ErrorCodes::DECIMAL_OVERFLOW);
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2022-10-18 12:38:48 +00:00
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return Decimal256(sign_a * sign_b * DecimalOpHerpers::fromDigits(divided));
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}
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};
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2022-10-19 11:00:46 +00:00
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2022-10-18 12:38:48 +00:00
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struct MultiplyDecimalsImpl
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{
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static constexpr auto name = "multiplyDecimal";
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template <typename FirstType, typename SecondType>
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static inline NO_SANITIZE_UNDEFINED Decimal256
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execute(FirstType a, SecondType b, UInt16 scale_a, UInt16 scale_b, UInt16 result_scale)
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{
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2022-10-31 20:18:08 +00:00
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if (a.value == 0 || b.value == 0)
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return Decimal256(0);
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2022-10-18 12:38:48 +00:00
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Int8 sign_a = a.value < 0 ? -1 : 1;
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Int8 sign_b = b.value < 0 ? -1 : 1;
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2022-10-28 12:31:03 +00:00
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std::vector<UInt8> a_digits = DecimalOpHerpers::toDigits(a.value * sign_a);
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std::vector<UInt8> b_digits = DecimalOpHerpers::toDigits(b.value * sign_b);
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2022-10-18 12:38:48 +00:00
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2022-10-31 20:18:08 +00:00
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std::vector<UInt8> multiplied = DecimalOpHerpers::multiply(a_digits, b_digits);
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2022-10-19 21:56:52 +00:00
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2022-10-31 20:18:08 +00:00
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UInt16 product_scale = scale_a + scale_b;
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while (product_scale < result_scale)
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2022-10-19 21:56:52 +00:00
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{
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2022-10-31 20:18:08 +00:00
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multiplied.push_back(0);
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++product_scale;
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2022-10-19 21:56:52 +00:00
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}
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2022-11-14 14:52:17 +00:00
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while (product_scale > result_scale&& !multiplied.empty())
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2022-10-19 21:56:52 +00:00
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{
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2022-10-31 20:18:08 +00:00
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multiplied.pop_back();
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--product_scale;
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2022-10-19 21:56:52 +00:00
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}
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2022-10-18 12:38:48 +00:00
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2022-11-14 14:52:17 +00:00
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if (multiplied.empty())
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return Decimal256(0);
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2022-10-31 20:18:08 +00:00
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if (multiplied.size() > 76)
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throw DB::Exception("Numeric overflow: result bigger that Decimal256", ErrorCodes::DECIMAL_OVERFLOW);
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2022-10-18 12:38:48 +00:00
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return Decimal256(sign_a * sign_b * DecimalOpHerpers::fromDigits(multiplied));
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}
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};
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template <typename ResultType, typename Transform>
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struct Processor
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{
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const Transform transform;
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explicit Processor(Transform transform_)
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: transform(std::move(transform_))
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{}
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template <typename FirstArgVectorType, typename SecondArgType>
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void NO_INLINE
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vectorConstant(const FirstArgVectorType & vec_first, const SecondArgType second_value,
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PaddedPODArray<typename ResultType::FieldType> & vec_to, UInt16 scale_a, UInt16 scale_b, UInt16 result_scale) const
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{
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size_t size = vec_first.size();
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vec_to.resize(size);
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for (size_t i = 0; i < size; ++i)
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vec_to[i] = transform.execute(vec_first[i], second_value, scale_a, scale_b, result_scale);
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}
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template <typename FirstArgVectorType, typename SecondArgVectorType>
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void NO_INLINE NO_SANITIZE_UNDEFINED
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vectorVector(const FirstArgVectorType & vec_first, const SecondArgVectorType & vec_second,
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PaddedPODArray<typename ResultType::FieldType> & vec_to, UInt16 scale_a, UInt16 scale_b, UInt16 result_scale) const
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{
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size_t size = vec_first.size();
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vec_to.resize(size);
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for (size_t i = 0; i < size; ++i)
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vec_to[i] = transform.execute(vec_first[i], vec_second[i], scale_a, scale_b, result_scale);
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}
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template <typename FirstArgType, typename SecondArgVectorType>
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void NO_INLINE NO_SANITIZE_UNDEFINED
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constantVector(const FirstArgType & first_value, const SecondArgVectorType & vec_second,
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PaddedPODArray<typename ResultType::FieldType> & vec_to, UInt16 scale_a, UInt16 scale_b, UInt16 result_scale) const
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{
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size_t size = vec_second.size();
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vec_to.resize(size);
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for (size_t i = 0; i < size; ++i)
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vec_to[i] = transform.execute(first_value, vec_second[i], scale_a, scale_b, result_scale);
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}
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};
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template <typename FirstArgType, typename SecondArgType, typename ResultType, typename Transform>
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struct DecimalArithmeticsImpl
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{
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static ColumnPtr execute(Transform transform, const ColumnsWithTypeAndName & arguments, const DataTypePtr & result_type)
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{
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using FirstArgValueType = typename FirstArgType::FieldType;
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using FirstArgColumnType = typename FirstArgType::ColumnType;
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using SecondArgValueType = typename SecondArgType::FieldType;
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using SecondArgColumnType = typename SecondArgType::ColumnType;
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using ResultColumnType = typename ResultType::ColumnType;
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UInt16 scale_a = getDecimalScale(*arguments[0].type);
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UInt16 scale_b = getDecimalScale(*arguments[1].type);
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UInt16 result_scale = getDecimalScale(*result_type->getPtr());
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auto op = Processor<ResultType, Transform>{std::move(transform)};
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auto result_col = result_type->createColumn();
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auto col_to = assert_cast<ResultColumnType *>(result_col.get());
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const auto * first_col = checkAndGetColumn<FirstArgColumnType>(arguments[0].column.get());
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const auto * second_col = checkAndGetColumn<SecondArgColumnType>(arguments[1].column.get());
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const auto * first_col_const = typeid_cast<const ColumnConst *>(arguments[0].column.get());
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const auto * second_col_const = typeid_cast<const ColumnConst *>(arguments[1].column.get());
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if (first_col)
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{
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if (second_col_const)
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|
|
|
op.vectorConstant(first_col->getData(), second_col_const->template getValue<SecondArgValueType>(), col_to->getData(), scale_a, scale_b, result_scale);
|
|
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|
else
|
|
|
|
op.vectorVector(first_col->getData(), second_col->getData(), col_to->getData(), scale_a, scale_b, result_scale);
|
|
|
|
}
|
|
|
|
else if (first_col_const)
|
|
|
|
{
|
|
|
|
op.constantVector(first_col_const->template getValue<FirstArgValueType>(), second_col->getData(), col_to->getData(), scale_a, scale_b, result_scale);
|
|
|
|
}
|
|
|
|
else
|
|
|
|
{
|
|
|
|
throw Exception(ErrorCodes::ILLEGAL_COLUMN, "Illegal column {} of first argument of function {}",
|
|
|
|
arguments[0].column->getName(), Transform::name);
|
|
|
|
}
|
|
|
|
|
|
|
|
return result_col;
|
|
|
|
}
|
|
|
|
};
|
|
|
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|
|
|
|
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|
template <typename Transform>
|
|
|
|
class FunctionsDecimalArithmetics : public IFunction
|
|
|
|
{
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|
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|
public:
|
|
|
|
static constexpr auto name = Transform::name;
|
|
|
|
static FunctionPtr create(ContextPtr) { return std::make_shared<FunctionsDecimalArithmetics>(); }
|
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|
|
|
|
|
|
String getName() const override
|
|
|
|
{
|
|
|
|
return name;
|
|
|
|
}
|
|
|
|
|
|
|
|
bool isVariadic() const override { return true; }
|
|
|
|
size_t getNumberOfArguments() const override { return 0; }
|
|
|
|
bool isSuitableForShortCircuitArgumentsExecution(const DataTypesWithConstInfo & /*arguments*/) const override { return false; }
|
|
|
|
|
|
|
|
DataTypePtr getReturnTypeImpl(const ColumnsWithTypeAndName & arguments) const override
|
|
|
|
{
|
2022-10-19 11:00:46 +00:00
|
|
|
if (arguments.size() != 2 && arguments.size() != 3)
|
2022-10-18 12:38:48 +00:00
|
|
|
throw Exception("Number of arguments for function " + getName() + " does not match: 2 or 3 expected",
|
|
|
|
ErrorCodes::NUMBER_OF_ARGUMENTS_DOESNT_MATCH);
|
|
|
|
|
|
|
|
if (!isDecimal(arguments[0].type) || !isDecimal(arguments[1].type))
|
|
|
|
throw Exception("Arguments for " + getName() + " function must be Decimal", ErrorCodes::ILLEGAL_TYPE_OF_ARGUMENT);
|
|
|
|
|
2022-11-13 20:07:52 +00:00
|
|
|
UInt8 scale = std::max(getDecimalScale(*arguments[0].type->getPtr()), getDecimalScale(*arguments[1].type->getPtr()));
|
|
|
|
|
2022-11-13 10:34:33 +00:00
|
|
|
if (arguments.size() == 3)
|
|
|
|
{
|
|
|
|
WhichDataType which_scale(arguments[2].type.get());
|
2022-11-13 20:07:52 +00:00
|
|
|
|
|
|
|
if (!which_scale.isUInt8())
|
2022-11-13 10:34:33 +00:00
|
|
|
throw Exception(
|
|
|
|
"Illegal type " + arguments[2].type->getName() + " of third argument of function " + getName()
|
2022-11-13 20:07:52 +00:00
|
|
|
+ ". Should be constant UInt8 from range[0, 76]",
|
2022-11-13 10:34:33 +00:00
|
|
|
ErrorCodes::ILLEGAL_TYPE_OF_ARGUMENT);
|
2022-10-18 12:38:48 +00:00
|
|
|
|
2022-11-13 20:07:52 +00:00
|
|
|
const ColumnConst * scale_column = checkAndGetColumnConst<ColumnUInt8>(arguments[2].column.get());
|
|
|
|
|
|
|
|
if (!scale_column)
|
|
|
|
throw Exception(
|
|
|
|
"Illegal column of third argument of function " + getName() + ". Should be constant UInt8",
|
|
|
|
ErrorCodes::ILLEGAL_COLUMN);
|
|
|
|
|
|
|
|
scale = scale_column->getValue<UInt8>();
|
|
|
|
}
|
2022-10-18 12:38:48 +00:00
|
|
|
|
|
|
|
/**
|
|
|
|
At compile time, result is unknown. We only know the Scale (number of fractional digits) at runtime.
|
|
|
|
Also nothing is known about size of whole part.
|
|
|
|
As in simple division/multiplication for decimals, we scale the result up, but is is explicit here and no downscale is performed.
|
|
|
|
It guarantees that result will have given scale and it can also be MANUALLY converted to other decimal types later.
|
|
|
|
**/
|
2022-11-11 22:52:36 +00:00
|
|
|
if (scale > DecimalUtils::max_precision<Decimal256>)
|
|
|
|
throw Exception("Illegal value of third argument of function " + this->getName() + ": must be integer in range [0, 76]",
|
|
|
|
ErrorCodes::ILLEGAL_TYPE_OF_ARGUMENT);
|
2022-10-18 12:38:48 +00:00
|
|
|
|
2022-11-11 22:52:36 +00:00
|
|
|
return std::make_shared<DataTypeDecimal256>(DecimalUtils::max_precision<Decimal256>, scale);
|
2022-10-18 12:38:48 +00:00
|
|
|
}
|
|
|
|
|
|
|
|
bool useDefaultImplementationForConstants() const override { return true; }
|
|
|
|
ColumnNumbers getArgumentsThatAreAlwaysConstant() const override { return {2}; }
|
|
|
|
|
|
|
|
ColumnPtr executeImpl(const ColumnsWithTypeAndName & arguments, const DataTypePtr & result_type, size_t /*input_rows_count*/) const override
|
|
|
|
{
|
|
|
|
return resolveOverload(arguments, result_type);
|
|
|
|
}
|
|
|
|
|
|
|
|
private:
|
|
|
|
//long resolver to call proper templated func
|
|
|
|
ColumnPtr resolveOverload(const ColumnsWithTypeAndName & arguments, const DataTypePtr & result_type) const
|
|
|
|
{
|
|
|
|
WhichDataType which_divident(arguments[0].type.get());
|
|
|
|
WhichDataType which_divisor(arguments[1].type.get());
|
|
|
|
if (which_divident.isDecimal32())
|
|
|
|
{
|
|
|
|
using DividentType = DataTypeDecimal32;
|
|
|
|
if (which_divisor.isDecimal32())
|
|
|
|
return DecimalArithmeticsImpl<DividentType, DataTypeDecimal32, DataTypeDecimal256, Transform>::execute(Transform{}, arguments, result_type);
|
|
|
|
else if (which_divisor.isDecimal64())
|
|
|
|
return DecimalArithmeticsImpl<DividentType, DataTypeDecimal64, DataTypeDecimal256, Transform>::execute(Transform{}, arguments, result_type);
|
|
|
|
else if (which_divisor.isDecimal128())
|
|
|
|
return DecimalArithmeticsImpl<DividentType, DataTypeDecimal128, DataTypeDecimal256, Transform>::execute(Transform{}, arguments, result_type);
|
|
|
|
else if (which_divisor.isDecimal256())
|
|
|
|
return DecimalArithmeticsImpl<DividentType, DataTypeDecimal256, DataTypeDecimal256, Transform>::execute(Transform{}, arguments, result_type);
|
|
|
|
}
|
|
|
|
|
|
|
|
else if (which_divident.isDecimal64())
|
|
|
|
{
|
|
|
|
using DividentType = DataTypeDecimal64;
|
|
|
|
if (which_divisor.isDecimal32())
|
|
|
|
return DecimalArithmeticsImpl<DividentType, DataTypeDecimal32, DataTypeDecimal256, Transform>::execute(Transform{}, arguments, result_type);
|
|
|
|
else if (which_divisor.isDecimal64())
|
|
|
|
return DecimalArithmeticsImpl<DividentType, DataTypeDecimal64, DataTypeDecimal256, Transform>::execute(Transform{}, arguments, result_type);
|
|
|
|
else if (which_divisor.isDecimal128())
|
|
|
|
return DecimalArithmeticsImpl<DividentType, DataTypeDecimal128, DataTypeDecimal256, Transform>::execute(Transform{}, arguments, result_type);
|
|
|
|
else if (which_divisor.isDecimal256())
|
|
|
|
return DecimalArithmeticsImpl<DividentType, DataTypeDecimal256, DataTypeDecimal256, Transform>::execute(Transform{}, arguments, result_type);
|
|
|
|
|
|
|
|
}
|
|
|
|
|
|
|
|
else if (which_divident.isDecimal128())
|
|
|
|
{
|
|
|
|
using DividentType = DataTypeDecimal128;
|
|
|
|
if (which_divisor.isDecimal32())
|
|
|
|
return DecimalArithmeticsImpl<DividentType, DataTypeDecimal32, DataTypeDecimal256, Transform>::execute(Transform{}, arguments, result_type);
|
|
|
|
else if (which_divisor.isDecimal64())
|
|
|
|
return DecimalArithmeticsImpl<DividentType, DataTypeDecimal64, DataTypeDecimal256, Transform>::execute(Transform{}, arguments, result_type);
|
|
|
|
else if (which_divisor.isDecimal128())
|
|
|
|
return DecimalArithmeticsImpl<DividentType, DataTypeDecimal128, DataTypeDecimal256, Transform>::execute(Transform{}, arguments, result_type);
|
|
|
|
else if (which_divisor.isDecimal256())
|
|
|
|
return DecimalArithmeticsImpl<DividentType, DataTypeDecimal256, DataTypeDecimal256, Transform>::execute(Transform{}, arguments, result_type);
|
|
|
|
|
|
|
|
}
|
|
|
|
|
|
|
|
else if (which_divident.isDecimal256())
|
|
|
|
{
|
|
|
|
using DividentType = DataTypeDecimal256;
|
|
|
|
if (which_divisor.isDecimal32())
|
|
|
|
return DecimalArithmeticsImpl<DividentType, DataTypeDecimal32, DataTypeDecimal256, Transform>::execute(Transform{}, arguments, result_type);
|
|
|
|
else if (which_divisor.isDecimal64())
|
|
|
|
return DecimalArithmeticsImpl<DividentType, DataTypeDecimal64, DataTypeDecimal256, Transform>::execute(Transform{}, arguments, result_type);
|
|
|
|
else if (which_divisor.isDecimal128())
|
|
|
|
return DecimalArithmeticsImpl<DividentType, DataTypeDecimal128, DataTypeDecimal256, Transform>::execute(Transform{}, arguments, result_type);
|
|
|
|
else if (which_divisor.isDecimal256())
|
|
|
|
return DecimalArithmeticsImpl<DividentType, DataTypeDecimal256, DataTypeDecimal256, Transform>::execute(Transform{}, arguments, result_type);
|
|
|
|
|
|
|
|
}
|
|
|
|
|
2022-10-28 12:31:03 +00:00
|
|
|
// the compiler is happy now
|
2022-10-18 12:38:48 +00:00
|
|
|
return nullptr;
|
|
|
|
}
|
|
|
|
};
|
|
|
|
|
|
|
|
}
|
|
|
|
|