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523 lines
19 KiB
C++
523 lines
19 KiB
C++
#pragma once
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#include <common/exp10.h>
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#include <DB/DataTypes/DataTypesNumberFixed.h>
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#include <DB/Functions/IFunction.h>
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/** Более эффективные реализации математических функций возможны при подключении отдельной библиотеки.
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* Отключено по-умолчанию из соображения совместимости лицензий.
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*/
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#define USE_VECTORIZED_FUNCTIONS 0
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namespace DB
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{
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template <typename Impl>
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class FunctionMathNullaryConstFloat64 : public IFunction
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{
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public:
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static constexpr auto name = Impl::name;
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static FunctionPtr create(const Context &) { return std::make_shared<FunctionMathNullaryConstFloat64>(); }
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private:
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String getName() const override { return name; }
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size_t getNumberOfArguments() const override { return 0; }
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DataTypePtr getReturnTypeImpl(const DataTypes & arguments) const override
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{
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return std::make_shared<DataTypeFloat64>();
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}
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void executeImpl(Block & block, const ColumnNumbers & arguments, const size_t result) override
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{
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block.getByPosition(result).column = std::make_shared<ColumnConst<Float64>>(
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block.rowsInFirstColumn(),
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Impl::value);
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}
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};
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template <typename Impl>
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class FunctionMathUnaryFloat64 : public IFunction
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{
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public:
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static constexpr auto name = Impl::name;
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static FunctionPtr create(const Context &) { return std::make_shared<FunctionMathUnaryFloat64>(); }
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static_assert(Impl::rows_per_iteration > 0, "Impl must process at least one row per iteration");
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private:
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String getName() const override { return name; }
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size_t getNumberOfArguments() const override { return 1; }
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DataTypePtr getReturnTypeImpl(const DataTypes & arguments) const override
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{
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const auto check_argument_type = [this] (const IDataType * const arg) {
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if (!typeid_cast<const DataTypeUInt8 *>(arg) &&
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!typeid_cast<const DataTypeUInt16 *>(arg) &&
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!typeid_cast<const DataTypeUInt32 *>(arg) &&
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!typeid_cast<const DataTypeUInt64 *>(arg) &&
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!typeid_cast<const DataTypeInt8 *>(arg) &&
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!typeid_cast<const DataTypeInt16 *>(arg) &&
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!typeid_cast<const DataTypeInt32 *>(arg) &&
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!typeid_cast<const DataTypeInt64 *>(arg) &&
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!typeid_cast<const DataTypeFloat32 *>(arg) &&
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!typeid_cast<const DataTypeFloat64 *>(arg))
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{
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throw Exception{
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"Illegal type " + arg->getName() + " of argument of function " + getName(),
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ErrorCodes::ILLEGAL_TYPE_OF_ARGUMENT
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};
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}
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};
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check_argument_type(arguments.front().get());
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return std::make_shared<DataTypeFloat64>();
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}
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template <typename FieldType>
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bool execute(Block & block, const IColumn * const arg, const size_t result)
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{
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if (const auto col = typeid_cast<const ColumnVector<FieldType> *>(arg))
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{
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const auto dst = std::make_shared<ColumnVector<Float64>>();
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block.getByPosition(result).column = dst;
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const auto & src_data = col->getData();
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const auto src_size = src_data.size();
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auto & dst_data = dst->getData();
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dst_data.resize(src_size);
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const auto rows_remaining = src_size % Impl::rows_per_iteration;
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const auto rows_size = src_size - rows_remaining;
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for (size_t i = 0; i < rows_size; i += Impl::rows_per_iteration)
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Impl::execute(&src_data[i], &dst_data[i]);
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if (rows_remaining != 0)
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{
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FieldType src_remaining[Impl::rows_per_iteration];
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memcpy(src_remaining, &src_data[rows_size], rows_remaining * sizeof(FieldType));
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memset(src_remaining + rows_remaining, 0, (Impl::rows_per_iteration - rows_remaining) * sizeof(FieldType));
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Float64 dst_remaining[Impl::rows_per_iteration];
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Impl::execute(src_remaining, dst_remaining);
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memcpy(&dst_data[rows_size], dst_remaining, rows_remaining * sizeof(Float64));
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}
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return true;
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}
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else if (const auto col = typeid_cast<const ColumnConst<FieldType> *>(arg))
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{
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const FieldType src[Impl::rows_per_iteration] { col->getData() };
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Float64 dst[Impl::rows_per_iteration];
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Impl::execute(src, dst);
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block.getByPosition(result).column = std::make_shared<ColumnConst<Float64>>(col->size(), dst[0]);
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return true;
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}
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return false;
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}
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void executeImpl(Block & block, const ColumnNumbers & arguments, const size_t result) override
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{
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const auto arg = block.getByPosition(arguments[0]).column.get();
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if (!execute<UInt8>(block, arg, result) &&
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!execute<UInt16>(block, arg, result) &&
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!execute<UInt32>(block, arg, result) &&
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!execute<UInt64>(block, arg, result) &&
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!execute<Int8>(block, arg, result) &&
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!execute<Int16>(block, arg, result) &&
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!execute<Int32>(block, arg, result) &&
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!execute<Int64>(block, arg, result) &&
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!execute<Float32>(block, arg, result) &&
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!execute<Float64>(block, arg, result))
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{
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throw Exception{
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"Illegal column " + arg->getName() + " of argument of function " + getName(),
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ErrorCodes::ILLEGAL_COLUMN
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};
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}
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}
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};
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template <typename Name, Float64(&Function)(Float64)>
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struct UnaryFunctionPlain
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{
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static constexpr auto name = Name::name;
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static constexpr auto rows_per_iteration = 1;
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template <typename T>
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static void execute(const T * const src, Float64 * const dst)
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{
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dst[0] = static_cast<Float64>(Function(static_cast<Float64>(src[0])));
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}
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};
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#if USE_VECTORIZED_FUNCTIONS
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template <typename Name, Vec2d(&Function)(const Vec2d &)>
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struct UnaryFunctionVectorized
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{
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static constexpr auto name = Name::name;
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static constexpr auto rows_per_iteration = 2;
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template <typename T>
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static void execute(const T * const src, Float64 * const dst)
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{
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const auto result = Function(Vec2d(src[0], src[1]));
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result.store(dst);
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}
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};
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#else
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#define UnaryFunctionVectorized UnaryFunctionPlain
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#endif
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template <typename Impl>
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class FunctionMathBinaryFloat64 : public IFunction
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{
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public:
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static constexpr auto name = Impl::name;
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static FunctionPtr create(const Context &) { return std::make_shared<FunctionMathBinaryFloat64>(); }
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static_assert(Impl::rows_per_iteration > 0, "Impl must process at least one row per iteration");
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private:
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String getName() const override { return name; }
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size_t getNumberOfArguments() const override { return 2; }
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DataTypePtr getReturnTypeImpl(const DataTypes & arguments) const override
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{
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const auto check_argument_type = [this] (const IDataType * const arg) {
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if (!typeid_cast<const DataTypeUInt8 *>(arg) &&
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!typeid_cast<const DataTypeUInt16 *>(arg) &&
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!typeid_cast<const DataTypeUInt32 *>(arg) &&
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!typeid_cast<const DataTypeUInt64 *>(arg) &&
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!typeid_cast<const DataTypeInt8 *>(arg) &&
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!typeid_cast<const DataTypeInt16 *>(arg) &&
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!typeid_cast<const DataTypeInt32 *>(arg) &&
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!typeid_cast<const DataTypeInt64 *>(arg) &&
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!typeid_cast<const DataTypeFloat32 *>(arg) &&
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!typeid_cast<const DataTypeFloat64 *>(arg))
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{
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throw Exception{
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"Illegal type " + arg->getName() + " of argument of function " + getName(),
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ErrorCodes::ILLEGAL_TYPE_OF_ARGUMENT};
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}
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};
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check_argument_type(arguments.front().get());
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check_argument_type(arguments.back().get());
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return std::make_shared<DataTypeFloat64>();
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}
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template <typename LeftType, typename RightType>
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bool executeRight(Block & block, const size_t result, const ColumnConst<LeftType> * const left_arg,
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const IColumn * const right_arg)
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{
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if (const auto right_arg_typed = typeid_cast<const ColumnVector<RightType> *>(right_arg))
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{
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const auto dst = std::make_shared<ColumnVector<Float64>>();
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block.getByPosition(result).column = dst;
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LeftType left_src_data[Impl::rows_per_iteration];
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std::fill(std::begin(left_src_data), std::end(left_src_data), left_arg->getData());
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const auto & right_src_data = right_arg_typed->getData();
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const auto src_size = right_src_data.size();
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auto & dst_data = dst->getData();
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dst_data.resize(src_size);
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const auto rows_remaining = src_size % Impl::rows_per_iteration;
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const auto rows_size = src_size - rows_remaining;
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for (size_t i = 0; i < rows_size; i += Impl::rows_per_iteration)
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Impl::execute(left_src_data, &right_src_data[i], &dst_data[i]);
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if (rows_remaining != 0)
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{
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RightType right_src_remaining[Impl::rows_per_iteration];
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memcpy(right_src_remaining, &right_src_data[rows_size], rows_remaining * sizeof(RightType));
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memset(right_src_remaining + rows_remaining, 0, (Impl::rows_per_iteration - rows_remaining) * sizeof(RightType));
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Float64 dst_remaining[Impl::rows_per_iteration];
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Impl::execute(left_src_data, right_src_remaining, dst_remaining);
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memcpy(&dst_data[rows_size], dst_remaining, rows_remaining * sizeof(Float64));
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}
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return true;
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}
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else if (const auto right_arg_typed = typeid_cast<const ColumnConst<RightType> *>(right_arg))
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{
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const LeftType left_src[Impl::rows_per_iteration] { left_arg->getData() };
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const RightType right_src[Impl::rows_per_iteration] { right_arg_typed->getData() };
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Float64 dst[Impl::rows_per_iteration];
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Impl::execute(left_src, right_src, dst);
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block.getByPosition(result).column = std::make_shared<ColumnConst<Float64>>(left_arg->size(), dst[0]);
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return true;
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}
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return false;
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}
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template <typename LeftType, typename RightType>
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bool executeRight(Block & block, const size_t result, const ColumnVector<LeftType> * const left_arg,
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const IColumn * const right_arg)
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{
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if (const auto right_arg_typed = typeid_cast<const ColumnVector<RightType> *>(right_arg))
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{
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const auto dst = std::make_shared<ColumnVector<Float64>>();
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block.getByPosition(result).column = dst;
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const auto & left_src_data = left_arg->getData();
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const auto & right_src_data = right_arg_typed->getData();
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const auto src_size = left_src_data.size();
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auto & dst_data = dst->getData();
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dst_data.resize(src_size);
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const auto rows_remaining = src_size % Impl::rows_per_iteration;
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const auto rows_size = src_size - rows_remaining;
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for (size_t i = 0; i < rows_size; i += Impl::rows_per_iteration)
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Impl::execute(&left_src_data[i], &right_src_data[i], &dst_data[i]);
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if (rows_remaining != 0)
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{
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LeftType left_src_remaining[Impl::rows_per_iteration];
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memcpy(left_src_remaining, &left_src_data[rows_size], rows_remaining * sizeof(LeftType));
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memset(left_src_remaining + rows_remaining, 0, (Impl::rows_per_iteration - rows_remaining) * sizeof(LeftType));
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RightType right_src_remaining[Impl::rows_per_iteration];
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memcpy(right_src_remaining, &right_src_data[rows_size], rows_remaining * sizeof(RightType));
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memset(right_src_remaining + rows_remaining, 0, (Impl::rows_per_iteration - rows_remaining) * sizeof(RightType));
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Float64 dst_remaining[Impl::rows_per_iteration];
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Impl::execute(left_src_remaining, right_src_remaining, dst_remaining);
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memcpy(&dst_data[rows_size], dst_remaining, rows_remaining * sizeof(Float64));
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}
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return true;
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}
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else if (const auto right_arg_typed = typeid_cast<const ColumnConst<RightType> *>(right_arg))
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{
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const auto dst = std::make_shared<ColumnVector<Float64>>();
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block.getByPosition(result).column = dst;
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const auto & left_src_data = left_arg->getData();
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RightType right_src_data[Impl::rows_per_iteration];
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std::fill(std::begin(right_src_data), std::end(right_src_data), right_arg_typed->getData());
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const auto src_size = left_src_data.size();
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auto & dst_data = dst->getData();
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dst_data.resize(src_size);
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const auto rows_remaining = src_size % Impl::rows_per_iteration;
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const auto rows_size = src_size - rows_remaining;
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for (size_t i = 0; i < rows_size; i += Impl::rows_per_iteration)
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Impl::execute(&left_src_data[i], right_src_data, &dst_data[i]);
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if (rows_remaining != 0)
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{
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LeftType left_src_remaining[Impl::rows_per_iteration];
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memcpy(left_src_remaining, &left_src_data[rows_size], rows_remaining * sizeof(LeftType));
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memset(left_src_remaining + rows_remaining, 0, (Impl::rows_per_iteration - rows_remaining) * sizeof(LeftType));
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Float64 dst_remaining[Impl::rows_per_iteration];
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Impl::execute(left_src_remaining, right_src_data, dst_remaining);
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memcpy(&dst_data[rows_size], dst_remaining, rows_remaining * sizeof(Float64));
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}
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return true;
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}
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return false;
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}
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template <typename LeftType, template <typename> class LeftColumnType>
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bool executeLeftImpl(Block & block, const ColumnNumbers & arguments, const size_t result,
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const IColumn * const left_arg)
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{
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if (const auto left_arg_typed = typeid_cast<const LeftColumnType<LeftType> *>(left_arg))
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{
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const auto right_arg = block.getByPosition(arguments[1]).column.get();
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if (executeRight<LeftType, UInt8>(block, result, left_arg_typed, right_arg) ||
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executeRight<LeftType, UInt16>(block, result, left_arg_typed, right_arg) ||
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executeRight<LeftType, UInt32>(block, result, left_arg_typed, right_arg) ||
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executeRight<LeftType, UInt64>(block, result, left_arg_typed, right_arg) ||
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executeRight<LeftType, Int8>(block, result, left_arg_typed, right_arg) ||
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executeRight<LeftType, Int16>(block, result, left_arg_typed, right_arg) ||
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executeRight<LeftType, Int32>(block, result, left_arg_typed, right_arg) ||
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executeRight<LeftType, Int64>(block, result, left_arg_typed, right_arg) ||
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executeRight<LeftType, Float32>(block, result, left_arg_typed, right_arg) ||
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executeRight<LeftType, Float64>(block, result, left_arg_typed, right_arg))
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{
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return true;
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}
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else
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{
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throw Exception{
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"Illegal column " + block.getByPosition(arguments[1]).column->getName() +
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" of second argument of function " + getName(),
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ErrorCodes::ILLEGAL_COLUMN
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};
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}
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}
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return false;
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}
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template <typename LeftType>
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bool executeLeft(Block & block, const ColumnNumbers & arguments, const size_t result,
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const IColumn * const left_arg)
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{
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if (executeLeftImpl<LeftType, ColumnVector>(block, arguments, result, left_arg) ||
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executeLeftImpl<LeftType, ColumnConst>(block, arguments, result, left_arg))
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return true;
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return false;
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}
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void executeImpl(Block & block, const ColumnNumbers & arguments, const size_t result) override
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{
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const auto left_arg = block.getByPosition(arguments[0]).column.get();
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if (!executeLeft<UInt8>(block, arguments, result, left_arg) &&
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!executeLeft<UInt16>(block, arguments, result, left_arg) &&
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!executeLeft<UInt32>(block, arguments, result, left_arg) &&
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!executeLeft<UInt64>(block, arguments, result, left_arg) &&
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!executeLeft<Int8>(block, arguments, result, left_arg) &&
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!executeLeft<Int16>(block, arguments, result, left_arg) &&
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!executeLeft<Int32>(block, arguments, result, left_arg) &&
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!executeLeft<Int64>(block, arguments, result, left_arg) &&
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!executeLeft<Float32>(block, arguments, result, left_arg) &&
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!executeLeft<Float64>(block, arguments, result, left_arg))
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{
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throw Exception{
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"Illegal column " + left_arg->getName() + " of argument of function " + getName(),
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ErrorCodes::ILLEGAL_COLUMN
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};
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}
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}
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};
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template <typename Name, Float64(&Function)(Float64, Float64)>
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struct BinaryFunctionPlain
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{
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static constexpr auto name = Name::name;
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static constexpr auto rows_per_iteration = 1;
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template <typename T1, typename T2>
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static void execute(const T1 * const src_left, const T2 * const src_right, Float64 * const dst)
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{
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dst[0] = static_cast<Float64>(Function(static_cast<Float64>(src_left[0]), static_cast<Float64>(src_right[0])));
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}
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};
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#if USE_VECTORIZED_FUNCTIONS
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template <typename Name, Vec2d(&Function)(const Vec2d &, const Vec2d &)>
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struct BinaryFunctionVectorized
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{
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static constexpr auto name = Name::name;
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static constexpr auto rows_per_iteration = 2;
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template <typename T1, typename T2>
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static void execute(const T1 * const src_left, const T2 * const src_right, Float64 * const dst)
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{
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const auto result = Function(Vec2d(src_left[0], src_left[1]), Vec2d(src_right[0], src_right[1]));
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result.store(dst);
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}
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};
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#else
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#define BinaryFunctionVectorized BinaryFunctionPlain
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#endif
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struct EImpl
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{
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static constexpr auto name = "e";
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static const double value; /// См. .cpp
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};
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struct PiImpl
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{
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static constexpr auto name = "pi";
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static const double value;
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};
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struct ExpName { static constexpr auto name = "exp"; };
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struct LogName { static constexpr auto name = "log"; };
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struct Exp2Name { static constexpr auto name = "exp2"; };
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struct Log2Name { static constexpr auto name = "log2"; };
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struct Exp10Name { static constexpr auto name = "exp10"; };
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struct Log10Name { static constexpr auto name = "log10"; };
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struct SqrtName { static constexpr auto name = "sqrt"; };
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struct CbrtName { static constexpr auto name = "cbrt"; };
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struct SinName { static constexpr auto name = "sin"; };
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struct CosName { static constexpr auto name = "cos"; };
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struct TanName { static constexpr auto name = "tan"; };
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struct AsinName { static constexpr auto name = "asin"; };
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struct AcosName { static constexpr auto name = "acos"; };
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struct AtanName { static constexpr auto name = "atan"; };
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struct ErfName { static constexpr auto name = "erf"; };
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struct ErfcName { static constexpr auto name = "erfc"; };
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struct LGammaName { static constexpr auto name = "lgamma"; };
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struct TGammaName { static constexpr auto name = "tgamma"; };
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struct PowName { static constexpr auto name = "pow"; };
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using FunctionE = FunctionMathNullaryConstFloat64<EImpl>;
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using FunctionPi = FunctionMathNullaryConstFloat64<PiImpl>;
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using FunctionExp = FunctionMathUnaryFloat64<UnaryFunctionVectorized<ExpName, exp>>;
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using FunctionLog = FunctionMathUnaryFloat64<UnaryFunctionVectorized<LogName, log>>;
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using FunctionExp2 = FunctionMathUnaryFloat64<UnaryFunctionVectorized<Exp2Name, exp2>>;
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using FunctionLog2 = FunctionMathUnaryFloat64<UnaryFunctionVectorized<Log2Name, log2>>;
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using FunctionExp10 = FunctionMathUnaryFloat64<UnaryFunctionVectorized<Exp10Name, exp10>>;
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using FunctionLog10 = FunctionMathUnaryFloat64<UnaryFunctionVectorized<Log10Name, log10>>;
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using FunctionSqrt = FunctionMathUnaryFloat64<UnaryFunctionVectorized<SqrtName, sqrt>>;
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|
|
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using FunctionCbrt = FunctionMathUnaryFloat64<UnaryFunctionVectorized<CbrtName,
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|
#if USE_VECTORIZED_FUNCTIONS
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Power_rational<1, 3>::pow
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#else
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cbrt
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|
#endif
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>>;
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|
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using FunctionSin = FunctionMathUnaryFloat64<UnaryFunctionVectorized<SinName, sin>>;
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|
using FunctionCos = FunctionMathUnaryFloat64<UnaryFunctionVectorized<CosName, cos>>;
|
|
using FunctionTan = FunctionMathUnaryFloat64<UnaryFunctionVectorized<TanName, tan>>;
|
|
using FunctionAsin = FunctionMathUnaryFloat64<UnaryFunctionVectorized<AsinName, asin>>;
|
|
using FunctionAcos = FunctionMathUnaryFloat64<UnaryFunctionVectorized<AcosName, acos>>;
|
|
using FunctionAtan = FunctionMathUnaryFloat64<UnaryFunctionVectorized<AtanName, atan>>;
|
|
using FunctionErf = FunctionMathUnaryFloat64<UnaryFunctionPlain<ErfName, std::erf>>;
|
|
using FunctionErfc = FunctionMathUnaryFloat64<UnaryFunctionPlain<ErfcName, std::erfc>>;
|
|
using FunctionLGamma = FunctionMathUnaryFloat64<UnaryFunctionPlain<LGammaName, std::lgamma>>;
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|
using FunctionTGamma = FunctionMathUnaryFloat64<UnaryFunctionPlain<TGammaName, std::tgamma>>;
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|
using FunctionPow = FunctionMathBinaryFloat64<BinaryFunctionVectorized<PowName, pow>>;
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|
|
|
}
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