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1050 lines
30 KiB
C++
1050 lines
30 KiB
C++
#pragma once
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#include <DB/Functions/FunctionsArithmetic.h>
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#include <cmath>
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#include <type_traits>
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#include <array>
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namespace DB
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{
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/** Функции округления:
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* roundToExp2 - вниз до ближайшей степени двойки;
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* roundDuration - вниз до ближайшего из: 0, 1, 10, 30, 60, 120, 180, 240, 300, 600, 1200, 1800, 3600, 7200, 18000, 36000;
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* roundAge - вниз до ближайшего из: 0, 18, 25, 35, 45.
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* round(x, N) - арифметическое округление (N = 0 по умолчанию).
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* ceil(x, N) - наименьшее число, которое не меньше x (N = 0 по умолчанию).
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* floor(x, N) - наибольшее число, которое не больше x (N = 0 по умолчанию).
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*
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* Значение параметра N:
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* - N > 0: округлять до числа с N десятичными знаками после запятой
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* - N < 0: окурглять до целого числа с N нулевыми знаками
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* - N = 0: округлять до целого числа
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*/
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template<typename A>
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struct RoundToExp2Impl
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{
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typedef A ResultType;
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static inline A apply(A x)
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{
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return x <= 0 ? static_cast<A>(0) : (static_cast<A>(1) << static_cast<UInt64>(log2(static_cast<double>(x))));
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}
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};
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template<>
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struct RoundToExp2Impl<Float32>
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{
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typedef Float32 ResultType;
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static inline Float32 apply(Float32 x)
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{
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return static_cast<Float32>(x < 1 ? 0. : pow(2., floor(log2(x))));
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}
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};
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template<>
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struct RoundToExp2Impl<Float64>
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{
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typedef Float64 ResultType;
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static inline Float64 apply(Float64 x)
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{
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return x < 1 ? 0. : pow(2., floor(log2(x)));
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}
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};
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template<typename A>
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struct RoundDurationImpl
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{
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typedef UInt16 ResultType;
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static inline ResultType apply(A x)
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{
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return x < 1 ? 0
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: (x < 10 ? 1
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: (x < 30 ? 10
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: (x < 60 ? 30
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: (x < 120 ? 60
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: (x < 180 ? 120
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: (x < 240 ? 180
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: (x < 300 ? 240
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: (x < 600 ? 300
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: (x < 1200 ? 600
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: (x < 1800 ? 1200
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: (x < 3600 ? 1800
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: (x < 7200 ? 3600
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: (x < 18000 ? 7200
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: (x < 36000 ? 18000
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: 36000))))))))))))));
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}
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};
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template<typename A>
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struct RoundAgeImpl
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{
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typedef UInt8 ResultType;
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static inline ResultType apply(A x)
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{
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return x < 1 ? 0
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: (x < 18 ? 17
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: (x < 25 ? 18
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: (x < 35 ? 25
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: (x < 45 ? 35
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: 45))));
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}
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};
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/** Быстрое вычисление остатка от деления для применения к округлению целых чисел.
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* Без проверки, потому что делитель всегда положительный.
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*/
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template<typename T, typename Enable = void>
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struct FastModulo;
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template<typename T>
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struct FastModulo<T, typename std::enable_if<std::is_integral<T>::value>::type>
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{
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private:
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template<typename InputType, typename Enable = void>
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struct Extend;
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template<typename InputType>
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struct Extend<InputType,
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typename std::enable_if<std::is_same<InputType, Int8>::value
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|| std::is_same<InputType, Int16>::value>::type>
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{
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using Type = Int64;
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};
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template<typename InputType>
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struct Extend<InputType,
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typename std::enable_if<std::is_same<InputType, UInt8>::value
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|| std::is_same<InputType, UInt16>::value>::type>
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{
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using Type = UInt64;
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};
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template<typename InputType>
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struct Extend<InputType,
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typename std::enable_if<std::is_integral<InputType>::value
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&& (sizeof(InputType) >= 4)>::type>
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{
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using Type = InputType;
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};
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using U = typename Extend<T>::Type;
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public:
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using Divisor = std::pair<size_t, typename libdivide::divider<U> >;
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static inline Divisor prepare(size_t b)
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{
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return std::make_pair(b, libdivide::divider<U>(b));
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}
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static inline T compute(T a, const Divisor & divisor)
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{
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U val = static_cast<U>(a);
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U rem = val - (val / divisor.second) * static_cast<U>(divisor.first);
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return static_cast<T>(rem);
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}
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};
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/** Этот параметр контролирует поведение функций округления.
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*/
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enum ScaleMode
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{
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PositiveScale, // округлять до числа с N десятичными знаками после запятой
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NegativeScale, // окурглять до целого числа с N нулевыми знаками
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ZeroScale, // округлять до целого числа
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NullScale // возвращать нулевое значение
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};
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/** Реализация низкоуровневых функций округления для целочисленных значений.
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*/
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template<typename T, int rounding_mode, ScaleMode scale_mode, typename Enable = void>
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struct IntegerRoundingComputation;
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template<typename T, int rounding_mode, ScaleMode scale_mode>
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struct IntegerRoundingComputation<T, rounding_mode, scale_mode,
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typename std::enable_if<std::is_integral<T>::value
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&& ((scale_mode == PositiveScale) || (scale_mode == ZeroScale))>::type>
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{
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using Divisor = int;
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static inline Divisor prepare(size_t scale)
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{
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return 0;
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}
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static inline T compute(T in, const Divisor & scale)
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{
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return in;
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}
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};
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template<typename T>
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struct IntegerRoundingComputation<T, _MM_FROUND_NINT, NegativeScale,
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typename std::enable_if<std::is_integral<T>::value>::type>
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{
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using Op = FastModulo<T>;
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using Divisor = typename Op::Divisor;
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static inline Divisor prepare(size_t scale)
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{
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return Op::prepare(scale);
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}
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static inline T compute(T in, const Divisor & scale)
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{
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T factor = (in < 0) ? -1 : 1;
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in *= factor;
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T rem = Op::compute(in, scale);
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in -= rem;
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T res;
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if ((2 * rem) < static_cast<T>(scale.first))
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res = in;
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else
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res = in + scale.first;
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return factor * res;
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}
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};
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template<typename T>
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struct IntegerRoundingComputation<T, _MM_FROUND_CEIL, NegativeScale,
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typename std::enable_if<std::is_integral<T>::value>::type>
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{
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using Op = FastModulo<T>;
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using Divisor = typename Op::Divisor;
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static inline Divisor prepare(size_t scale)
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{
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return Op::prepare(scale);
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}
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static inline T compute(T in, const Divisor & scale)
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{
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T factor = (in < 0) ? -1 : 1;
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in *= factor;
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T rem = Op::compute(in, scale);
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T res = in - rem + scale.first;
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return factor * res;
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}
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};
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template<typename T>
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struct IntegerRoundingComputation<T, _MM_FROUND_FLOOR, NegativeScale,
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typename std::enable_if<std::is_integral<T>::value>::type>
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{
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using Op = FastModulo<T>;
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using Divisor = typename Op::Divisor;
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static inline Divisor prepare(size_t scale)
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{
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return Op::prepare(scale);
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}
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static inline T compute(T in, const Divisor & scale)
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{
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T factor = (in < 0) ? -1 : 1;
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in *= factor;
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T rem = Op::compute(in, scale);
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T res = in - rem;
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return factor * res;
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}
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};
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template<typename T>
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class BaseFloatRoundingComputation;
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template<>
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class BaseFloatRoundingComputation<Float32>
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{
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public:
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using Scale = __m128;
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static const size_t data_count = 4;
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protected:
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/// Предотвратить появление отрицательных нолей определённых в стандарте IEEE-754.
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static inline void normalize(__m128 & val, const __m128 & mask)
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{
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__m128 mask1 = _mm_cmpeq_ps(val, getZero());
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__m128 mask2 = _mm_and_ps(mask, mask1);
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mask2 = _mm_cmpeq_ps(mask2, getZero());
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mask2 = _mm_min_ps(mask2, getTwo());
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mask2 = _mm_sub_ps(mask2, getOne());
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val = _mm_mul_ps(val, mask2);
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}
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static inline const __m128 & getZero()
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{
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static const __m128 zero = _mm_set1_ps(0.0);
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return zero;
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}
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static inline const __m128 & getOne()
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{
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static const __m128 one = _mm_set1_ps(1.0);
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return one;
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}
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static inline const __m128 & getTwo()
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{
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static const __m128 two = _mm_set1_ps(2.0);
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return two;
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}
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};
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template<>
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class BaseFloatRoundingComputation<Float64>
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{
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public:
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using Scale = __m128d;
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static const size_t data_count = 2;
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protected:
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/// Предотвратить появление отрицательных нолей определённых в стандарте IEEE-754.
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static inline void normalize(__m128d & val, const __m128d & mask)
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{
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__m128d mask1 = _mm_cmpeq_pd(val, getZero());
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__m128d mask2 = _mm_and_pd(mask, mask1);
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mask2 = _mm_cmpeq_pd(mask2, getZero());
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mask2 = _mm_min_pd(mask2, getTwo());
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mask2 = _mm_sub_pd(mask2, getOne());
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val = _mm_mul_pd(val, mask2);
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}
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static inline const __m128d & getZero()
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{
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static const __m128d zero = _mm_set1_pd(0.0);
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return zero;
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}
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static inline const __m128d & getOne()
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{
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static const __m128d one = _mm_set1_pd(1.0);
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return one;
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}
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static inline const __m128d & getTwo()
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{
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static const __m128d two = _mm_set1_pd(2.0);
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return two;
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}
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};
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/** Реализация низкоуровневых функций округления для значений с плавающей точкой.
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*/
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template<typename T, int rounding_mode, ScaleMode scale_mode>
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class FloatRoundingComputation;
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template<int rounding_mode>
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class FloatRoundingComputation<Float32, rounding_mode, PositiveScale>
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: public BaseFloatRoundingComputation<Float32>
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{
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public:
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static inline void prepare(size_t scale, Scale & mm_scale)
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{
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Float32 fscale = static_cast<Float32>(scale);
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mm_scale = _mm_load1_ps(&fscale);
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}
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static inline void compute(const Float32 * __restrict in, const Scale & scale, Float32 * __restrict out)
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{
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__m128 val = _mm_loadu_ps(in);
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__m128 mask = _mm_cmplt_ps(val, getZero());
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/// Алгоритм округления.
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val = _mm_mul_ps(val, scale);
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val = _mm_round_ps(val, rounding_mode);
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val = _mm_div_ps(val, scale);
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normalize(val, mask);
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_mm_storeu_ps(out, val);
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}
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};
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template<int rounding_mode>
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class FloatRoundingComputation<Float32, rounding_mode, NegativeScale>
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: public BaseFloatRoundingComputation<Float32>
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{
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public:
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static inline void prepare(size_t scale, Scale & mm_scale)
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{
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Float32 fscale = static_cast<Float32>(scale);
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mm_scale = _mm_load1_ps(&fscale);
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}
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static inline void compute(const Float32 * __restrict in, const Scale & scale, Float32 * __restrict out)
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{
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__m128 val = _mm_loadu_ps(in);
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__m128 mask = _mm_cmplt_ps(val, getZero());
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/// Превратить отрицательные значения в положительные.
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__m128 factor = _mm_cmpge_ps(val, getZero());
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factor = _mm_min_ps(factor, getTwo());
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factor = _mm_sub_ps(factor, getOne());
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val = _mm_mul_ps(val, factor);
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/// Алгоритм округления.
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val = _mm_div_ps(val, scale);
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__m128 res = _mm_cmpge_ps(val, getOneTenth());
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val = _mm_round_ps(val, rounding_mode);
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val = _mm_mul_ps(val, scale);
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val = _mm_and_ps(val, res);
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/// Вернуть настоящие знаки всех значений.
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val = _mm_mul_ps(val, factor);
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normalize(val, mask);
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_mm_storeu_ps(out, val);
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}
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private:
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static inline const __m128 & getOneTenth()
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{
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static const __m128 one_tenth = _mm_set1_ps(0.1);
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return one_tenth;
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}
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};
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template<int rounding_mode>
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class FloatRoundingComputation<Float32, rounding_mode, ZeroScale>
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: public BaseFloatRoundingComputation<Float32>
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{
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public:
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static inline void prepare(size_t scale, Scale & mm_scale)
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{
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}
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static inline void compute(const Float32 * __restrict in, const Scale & scale, Float32 * __restrict out)
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{
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__m128 val = _mm_loadu_ps(in);
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__m128 mask = _mm_cmplt_ps(val, getZero());
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val = _mm_round_ps(val, rounding_mode);
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normalize(val, mask);
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_mm_storeu_ps(out, val);
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}
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};
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template<int rounding_mode>
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class FloatRoundingComputation<Float64, rounding_mode, PositiveScale>
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: public BaseFloatRoundingComputation<Float64>
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{
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public:
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static inline void prepare(size_t scale, Scale & mm_scale)
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{
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Float64 fscale = static_cast<Float64>(scale);
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mm_scale = _mm_load1_pd(&fscale);
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}
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static inline void compute(const Float64 * __restrict in, const Scale & scale, Float64 * __restrict out)
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{
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__m128d val = _mm_loadu_pd(in);
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__m128d mask = _mm_cmplt_pd(val, getZero());
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/// Алгоритм округления.
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val = _mm_mul_pd(val, scale);
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val = _mm_round_pd(val, rounding_mode);
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val = _mm_div_pd(val, scale);
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normalize(val, mask);
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_mm_storeu_pd(out, val);
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}
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};
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template<int rounding_mode>
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class FloatRoundingComputation<Float64, rounding_mode, NegativeScale>
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: public BaseFloatRoundingComputation<Float64>
|
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{
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public:
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static inline void prepare(size_t scale, Scale & mm_scale)
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{
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Float64 fscale = static_cast<Float64>(scale);
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mm_scale = _mm_load1_pd(&fscale);
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}
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static inline void compute(const Float64 * __restrict in, const Scale & scale, Float64 * __restrict out)
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{
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__m128d val = _mm_loadu_pd(in);
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__m128d mask = _mm_cmplt_pd(val, getZero());
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/// Превратить отрицательные значения в положительные.
|
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__m128d factor = _mm_cmpge_pd(val, getZero());
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factor = _mm_min_pd(factor, getTwo());
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factor = _mm_sub_pd(factor, getOne());
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val = _mm_mul_pd(val, factor);
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/// Алгоритм округления.
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val = _mm_div_pd(val, scale);
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__m128d res = _mm_cmpge_pd(val, getOneTenth());
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val = _mm_round_pd(val, rounding_mode);
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val = _mm_mul_pd(val, scale);
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val = _mm_and_pd(val, res);
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/// Вернуть настоящие знаки всех значений.
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val = _mm_mul_pd(val, factor);
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normalize(val, mask);
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_mm_storeu_pd(out, val);
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}
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private:
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static inline const __m128d & getOneTenth()
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{
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static const __m128d one_tenth = _mm_set1_pd(0.1);
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return one_tenth;
|
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}
|
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};
|
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|
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template<int rounding_mode>
|
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class FloatRoundingComputation<Float64, rounding_mode, ZeroScale>
|
||
: public BaseFloatRoundingComputation<Float64>
|
||
{
|
||
public:
|
||
static inline void prepare(size_t scale, Scale & mm_scale)
|
||
{
|
||
}
|
||
|
||
static inline void compute(const Float64 * __restrict in, const Scale & scale, Float64 * __restrict out)
|
||
{
|
||
__m128d val = _mm_loadu_pd(in);
|
||
__m128d mask = _mm_cmplt_pd(val, getZero());
|
||
|
||
val = _mm_round_pd(val, rounding_mode);
|
||
|
||
normalize(val, mask);
|
||
_mm_storeu_pd(out, val);
|
||
}
|
||
};
|
||
|
||
/** Реализация высокоуровневых функций округления.
|
||
*/
|
||
template<typename T, int rounding_mode, ScaleMode scale_mode, typename Enable = void>
|
||
struct FunctionRoundingImpl;
|
||
|
||
/** Реализация высокоуровневых функций округления для целочисленных значений.
|
||
*/
|
||
template<typename T, int rounding_mode, ScaleMode scale_mode>
|
||
struct FunctionRoundingImpl<T, rounding_mode, scale_mode,
|
||
typename std::enable_if<std::is_integral<T>::value && (scale_mode != NullScale)>::type>
|
||
{
|
||
private:
|
||
using Op = IntegerRoundingComputation<T, rounding_mode, scale_mode>;
|
||
|
||
public:
|
||
static inline void apply(const PODArray<T> & in, size_t scale, typename ColumnVector<T>::Container_t & out)
|
||
{
|
||
auto divisor = Op::prepare(scale);
|
||
|
||
const T* begin_in = &in[0];
|
||
const T* end_in = begin_in + in.size();
|
||
|
||
T* __restrict p_out = &out[0];
|
||
for (const T* __restrict p_in = begin_in; p_in != end_in; ++p_in)
|
||
{
|
||
*p_out = Op::compute(*p_in, divisor);
|
||
++p_out;
|
||
}
|
||
}
|
||
|
||
static inline T apply(T val, size_t scale)
|
||
{
|
||
auto divisor = Op::prepare(scale);
|
||
return Op::compute(val, divisor);
|
||
}
|
||
};
|
||
|
||
/** Реализация высокоуровневых функций округления для значений с плавающей точкой.
|
||
*/
|
||
template<typename T, int rounding_mode, ScaleMode scale_mode>
|
||
struct FunctionRoundingImpl<T, rounding_mode, scale_mode,
|
||
typename std::enable_if<std::is_floating_point<T>::value && (scale_mode != NullScale)>::type>
|
||
{
|
||
private:
|
||
using Op = FloatRoundingComputation<T, rounding_mode, scale_mode>;
|
||
using Data = std::array<T, Op::data_count>;
|
||
using Scale = typename Op::Scale;
|
||
|
||
public:
|
||
static inline void apply(const PODArray<T> & in, size_t scale, typename ColumnVector<T>::Container_t & out)
|
||
{
|
||
Scale mm_scale;
|
||
Op::prepare(scale, mm_scale);
|
||
|
||
const size_t data_count = std::tuple_size<Data>();
|
||
|
||
const T* begin_in = &in[0];
|
||
const T* end_in = begin_in + in.size();
|
||
|
||
T* begin_out = &out[0];
|
||
const T* end_out = begin_out + out.size();
|
||
|
||
const T* limit = end_in - (data_count - 1);
|
||
|
||
const T* __restrict p_in = begin_in;
|
||
T* __restrict p_out = begin_out;
|
||
for (; p_in < limit; p_in += data_count)
|
||
{
|
||
Op::compute(p_in, mm_scale, p_out);
|
||
p_out += data_count;
|
||
}
|
||
|
||
if (p_in < end_in)
|
||
{
|
||
Data tmp{0};
|
||
T* begin_tmp = &tmp[0];
|
||
const T* end_tmp = begin_tmp + data_count;
|
||
|
||
for (T* __restrict p_tmp = begin_tmp; (p_tmp != end_tmp) && (p_in != end_in); ++p_tmp)
|
||
{
|
||
*p_tmp = *p_in;
|
||
++p_in;
|
||
}
|
||
|
||
Data res;
|
||
const T* begin_res = &res[0];
|
||
const T* end_res = begin_res + data_count;
|
||
|
||
Op::compute(reinterpret_cast<T *>(&tmp), mm_scale, reinterpret_cast<T *>(&res));
|
||
|
||
for (const T* __restrict p_res = begin_res; (p_res != end_res) && (p_out != end_out); ++p_res)
|
||
{
|
||
*p_out = *p_res;
|
||
++p_out;
|
||
}
|
||
}
|
||
}
|
||
|
||
static inline T apply(T val, size_t scale)
|
||
{
|
||
if (val == 0)
|
||
return val;
|
||
else
|
||
{
|
||
Scale mm_scale;
|
||
Op::prepare(scale, mm_scale);
|
||
|
||
Data tmp{0};
|
||
tmp[0] = val;
|
||
|
||
Data res;
|
||
Op::compute(reinterpret_cast<T *>(&tmp), mm_scale, reinterpret_cast<T *>(&res));
|
||
return res[0];
|
||
}
|
||
}
|
||
};
|
||
|
||
/** Реализация высокоуровневых функций округления в том случае, когда возвращается нулевое значение.
|
||
*/
|
||
template<typename T, int rounding_mode, ScaleMode scale_mode>
|
||
struct FunctionRoundingImpl<T, rounding_mode, scale_mode,
|
||
typename std::enable_if<scale_mode == NullScale>::type>
|
||
{
|
||
public:
|
||
static inline void apply(const PODArray<T> & in, size_t scale, typename ColumnVector<T>::Container_t & out)
|
||
{
|
||
::memset(reinterpret_cast<T *>(&out[0]), 0, in.size() * sizeof(T));
|
||
}
|
||
|
||
static inline T apply(T val, size_t scale)
|
||
{
|
||
return 0;
|
||
}
|
||
};
|
||
|
||
/// Следующий код генерирует во время сборки таблицу степеней числа 10.
|
||
|
||
namespace
|
||
{
|
||
/// Отдельные степени числа 10.
|
||
|
||
template<size_t N>
|
||
struct PowerOf10
|
||
{
|
||
static const size_t value = 10 * PowerOf10<N - 1>::value;
|
||
};
|
||
|
||
template<>
|
||
struct PowerOf10<0>
|
||
{
|
||
static const size_t value = 1;
|
||
};
|
||
}
|
||
|
||
/// Объявление и определение контейнера содержащего таблицу степеней числа 10.
|
||
|
||
template<size_t... TArgs>
|
||
struct TableContainer
|
||
{
|
||
static const std::array<size_t, sizeof...(TArgs)> values;
|
||
};
|
||
|
||
template<size_t... TArgs>
|
||
const std::array<size_t, sizeof...(TArgs)> TableContainer<TArgs...>::values = { TArgs... };
|
||
|
||
/// Генератор первых N степеней.
|
||
|
||
template<size_t N, size_t... TArgs>
|
||
struct FillArrayImpl
|
||
{
|
||
using result = typename FillArrayImpl<N - 1, PowerOf10<N>::value, TArgs...>::result;
|
||
};
|
||
|
||
template<size_t... TArgs>
|
||
struct FillArrayImpl<0, TArgs...>
|
||
{
|
||
using result = TableContainer<PowerOf10<0>::value, TArgs...>;
|
||
};
|
||
|
||
template<size_t N>
|
||
struct FillArray
|
||
{
|
||
using result = typename FillArrayImpl<N - 1>::result;
|
||
};
|
||
|
||
/** Этот шаблон определяет точность, которую используют функции round/ceil/floor,
|
||
* затем преобразовывает её в значение, которое можно использовать в операциях
|
||
* умножения и деления. Поэтому оно называется масштабом.
|
||
*/
|
||
template<typename T, typename U, typename Enable = void>
|
||
struct ScaleForRightType;
|
||
|
||
template<typename T, typename U>
|
||
struct ScaleForRightType<T, U,
|
||
typename std::enable_if<
|
||
std::is_floating_point<T>::value
|
||
&& std::is_signed<U>::value>::type>
|
||
{
|
||
static inline bool apply(const ColumnPtr & column, ScaleMode & scale_mode, size_t & scale)
|
||
{
|
||
using PowersOf10 = typename FillArray<std::numeric_limits<T>::digits10 + 1>::result;
|
||
using ColumnType = ColumnConst<U>;
|
||
|
||
const ColumnType * precision_col = typeid_cast<const ColumnType *>(&*column);
|
||
if (precision_col == nullptr)
|
||
return false;
|
||
|
||
U val = precision_col->getData();
|
||
if (val < 0)
|
||
{
|
||
if (val < -static_cast<U>(std::numeric_limits<T>::digits10))
|
||
{
|
||
scale_mode = NullScale;
|
||
scale = 1;
|
||
}
|
||
else
|
||
{
|
||
scale_mode = NegativeScale;
|
||
scale = PowersOf10::values[-val];
|
||
}
|
||
}
|
||
else if (val == 0)
|
||
{
|
||
scale_mode = ZeroScale;
|
||
scale = 1;
|
||
}
|
||
else
|
||
{
|
||
scale_mode = PositiveScale;
|
||
if (val > std::numeric_limits<T>::digits10)
|
||
val = static_cast<U>(std::numeric_limits<T>::digits10);
|
||
scale = PowersOf10::values[val];
|
||
}
|
||
|
||
return true;
|
||
}
|
||
};
|
||
|
||
template<typename T, typename U>
|
||
struct ScaleForRightType<T, U,
|
||
typename std::enable_if<
|
||
std::is_floating_point<T>::value
|
||
&& std::is_unsigned<U>::value>::type>
|
||
{
|
||
static inline bool apply(const ColumnPtr & column, ScaleMode & scale_mode, size_t & scale)
|
||
{
|
||
using PowersOf10 = typename FillArray<std::numeric_limits<T>::digits10 + 1>::result;
|
||
using ColumnType = ColumnConst<U>;
|
||
|
||
const ColumnType * precision_col = typeid_cast<const ColumnType *>(&*column);
|
||
if (precision_col == nullptr)
|
||
return false;
|
||
|
||
U val = precision_col->getData();
|
||
if (val == 0)
|
||
{
|
||
scale_mode = ZeroScale;
|
||
scale = 1;
|
||
}
|
||
else
|
||
{
|
||
scale_mode = PositiveScale;
|
||
if (val > static_cast<U>(std::numeric_limits<T>::digits10))
|
||
val = static_cast<U>(std::numeric_limits<T>::digits10);
|
||
scale = PowersOf10::values[val];
|
||
}
|
||
|
||
return true;
|
||
}
|
||
};
|
||
|
||
template<typename T, typename U>
|
||
struct ScaleForRightType<T, U,
|
||
typename std::enable_if<
|
||
std::is_integral<T>::value
|
||
&& std::is_signed<U>::value>::type>
|
||
{
|
||
static inline bool apply(const ColumnPtr & column, ScaleMode & scale_mode, size_t & scale)
|
||
{
|
||
using PowersOf10 = typename FillArray<std::numeric_limits<T>::digits10 + 1>::result;
|
||
using ColumnType = ColumnConst<U>;
|
||
|
||
const ColumnType * precision_col = typeid_cast<const ColumnType *>(&*column);
|
||
if (precision_col == nullptr)
|
||
return false;
|
||
|
||
U val = precision_col->getData();
|
||
if (val < 0)
|
||
{
|
||
if (val < -std::numeric_limits<T>::digits10)
|
||
{
|
||
scale_mode = NullScale;
|
||
scale = 1;
|
||
}
|
||
else
|
||
{
|
||
scale_mode = NegativeScale;
|
||
scale = PowersOf10::values[-val];
|
||
}
|
||
}
|
||
else
|
||
{
|
||
scale_mode = ZeroScale;
|
||
scale = 1;
|
||
}
|
||
|
||
return true;
|
||
}
|
||
};
|
||
|
||
template<typename T, typename U>
|
||
struct ScaleForRightType<T, U,
|
||
typename std::enable_if<
|
||
std::is_integral<T>::value
|
||
&& std::is_unsigned<U>::value>::type>
|
||
{
|
||
static inline bool apply(const ColumnPtr & column, ScaleMode & scale_mode, size_t & scale)
|
||
{
|
||
using ColumnType = ColumnConst<U>;
|
||
|
||
const ColumnType * precision_col = typeid_cast<const ColumnType *>(&*column);
|
||
if (precision_col == nullptr)
|
||
return false;
|
||
|
||
scale_mode = ZeroScale;
|
||
scale = 1;
|
||
|
||
return true;
|
||
}
|
||
};
|
||
|
||
/** Превратить параметр точности в масштаб.
|
||
*/
|
||
template<typename T>
|
||
struct ScaleForLeftType
|
||
{
|
||
static inline void apply(const ColumnPtr & column, ScaleMode & scale_mode, size_t & scale)
|
||
{
|
||
if (!( ScaleForRightType<T, UInt8>::apply(column, scale_mode, scale)
|
||
|| ScaleForRightType<T, UInt16>::apply(column, scale_mode, scale)
|
||
|| ScaleForRightType<T, UInt16>::apply(column, scale_mode, scale)
|
||
|| ScaleForRightType<T, UInt32>::apply(column, scale_mode, scale)
|
||
|| ScaleForRightType<T, UInt64>::apply(column, scale_mode, scale)
|
||
|| ScaleForRightType<T, Int8>::apply(column, scale_mode, scale)
|
||
|| ScaleForRightType<T, Int16>::apply(column, scale_mode, scale)
|
||
|| ScaleForRightType<T, Int32>::apply(column, scale_mode, scale)
|
||
|| ScaleForRightType<T, Int64>::apply(column, scale_mode, scale)
|
||
|| ScaleForRightType<T, Float32>::apply(column, scale_mode, scale)
|
||
|| ScaleForRightType<T, Float64>::apply(column, scale_mode, scale)))
|
||
{
|
||
throw Exception("Internal error", ErrorCodes::LOGICAL_ERROR);
|
||
}
|
||
}
|
||
};
|
||
|
||
/** Главный шаблон применяющий функцию округления к значению или столбцу.
|
||
*/
|
||
template<typename T, int rounding_mode, ScaleMode scale_mode>
|
||
struct Cruncher
|
||
{
|
||
using Op = FunctionRoundingImpl<T, rounding_mode, scale_mode>;
|
||
|
||
static inline void apply(Block & block, ColumnVector<T> * col, const ColumnNumbers & arguments, size_t result, size_t scale)
|
||
{
|
||
ColumnVector<T> * col_res = new ColumnVector<T>;
|
||
block.getByPosition(result).column = col_res;
|
||
|
||
typename ColumnVector<T>::Container_t & vec_res = col_res->getData();
|
||
vec_res.resize(col->getData().size());
|
||
|
||
Op::apply(col->getData(), scale, vec_res);
|
||
}
|
||
|
||
static inline void apply(Block & block, ColumnConst<T> * col, const ColumnNumbers & arguments, size_t result, size_t scale)
|
||
{
|
||
T res = Op::apply(col->getData(), scale);
|
||
ColumnConst<T> * col_res = new ColumnConst<T>(col->size(), res);
|
||
block.getByPosition(result).column = col_res;
|
||
}
|
||
};
|
||
|
||
/** Выбрать подходящий алгоритм обработки в зависимости от масштаба.
|
||
*/
|
||
template<typename T, template<typename> class U, int rounding_mode>
|
||
struct Dispatcher
|
||
{
|
||
static inline void apply(Block & block, U<T> * col, const ColumnNumbers & arguments, size_t result)
|
||
{
|
||
ScaleMode scale_mode;
|
||
size_t scale;
|
||
|
||
if (arguments.size() == 2)
|
||
ScaleForLeftType<T>::apply(block.getByPosition(arguments[1]).column, scale_mode, scale);
|
||
else
|
||
{
|
||
scale_mode = ZeroScale;
|
||
scale = 1;
|
||
}
|
||
|
||
if (scale_mode == PositiveScale)
|
||
Cruncher<T, rounding_mode, PositiveScale>::apply(block, col, arguments, result, scale);
|
||
else if (scale_mode == ZeroScale)
|
||
Cruncher<T, rounding_mode, ZeroScale>::apply(block, col, arguments, result, scale);
|
||
else if (scale_mode == NegativeScale)
|
||
Cruncher<T, rounding_mode, NegativeScale>::apply(block, col, arguments, result, scale);
|
||
else if (scale_mode == NullScale)
|
||
Cruncher<T, rounding_mode, NullScale>::apply(block, col, arguments, result, scale);
|
||
else
|
||
throw Exception("Illegal operation", ErrorCodes::LOGICAL_ERROR);
|
||
}
|
||
};
|
||
|
||
/** Шаблон для функций, которые округляют значение входного параметра типа
|
||
* (U)Int8/16/32/64 или Float32/64, и принимают дополнительный необязятельный
|
||
* параметр (по умолчанию - 0).
|
||
*/
|
||
template<typename Name, int rounding_mode>
|
||
class FunctionRounding : public IFunction
|
||
{
|
||
public:
|
||
static constexpr auto name = Name::name;
|
||
static IFunction * create(const Context & context) { return new FunctionRounding; }
|
||
|
||
private:
|
||
template<typename T>
|
||
bool checkType(const IDataType * type) const
|
||
{
|
||
return typeid_cast<const T *>(type) != nullptr;
|
||
}
|
||
|
||
template<typename T>
|
||
bool executeForType(Block & block, const ColumnNumbers & arguments, size_t result)
|
||
{
|
||
if (ColumnVector<T> * col = typeid_cast<ColumnVector<T> *>(&*block.getByPosition(arguments[0]).column))
|
||
{
|
||
Dispatcher<T, ColumnVector, rounding_mode>::apply(block, col, arguments, result);
|
||
return true;
|
||
}
|
||
else if (ColumnConst<T> * col = typeid_cast<ColumnConst<T> *>(&*block.getByPosition(arguments[0]).column))
|
||
{
|
||
Dispatcher<T, ColumnConst, rounding_mode>::apply(block, col, arguments, result);
|
||
return true;
|
||
}
|
||
else
|
||
return false;
|
||
}
|
||
|
||
public:
|
||
/// Получить имя функции.
|
||
String getName() const override
|
||
{
|
||
return name;
|
||
}
|
||
|
||
/// Получить типы результата по типам аргументов. Если функция неприменима для данных аргументов - кинуть исключение.
|
||
DataTypePtr getReturnType(const DataTypes & arguments) const override
|
||
{
|
||
if ((arguments.size() < 1) || (arguments.size() > 2))
|
||
throw Exception("Number of arguments for function " + getName() + " doesn't match: passed "
|
||
+ toString(arguments.size()) + ", should be 1 or 2.",
|
||
ErrorCodes::NUMBER_OF_ARGUMENTS_DOESNT_MATCH);
|
||
|
||
if (arguments.size() == 2)
|
||
{
|
||
const IDataType * type = &*arguments[1];
|
||
if (!( checkType<DataTypeUInt8>(type)
|
||
|| checkType<DataTypeUInt16>(type)
|
||
|| checkType<DataTypeUInt32>(type)
|
||
|| checkType<DataTypeUInt64>(type)
|
||
|| checkType<DataTypeInt8>(type)
|
||
|| checkType<DataTypeInt16>(type)
|
||
|| checkType<DataTypeInt32>(type)
|
||
|| checkType<DataTypeInt64>(type)
|
||
|| checkType<DataTypeFloat32>(type)
|
||
|| checkType<DataTypeFloat64>(type)))
|
||
{
|
||
throw Exception("Illegal type in second argument of function " + getName(),
|
||
ErrorCodes::ILLEGAL_TYPE_OF_ARGUMENT);
|
||
}
|
||
}
|
||
|
||
const IDataType * type = &*arguments[0];
|
||
if (!type->behavesAsNumber())
|
||
throw Exception("Illegal type " + arguments[0]->getName() + " of argument of function " + getName(),
|
||
ErrorCodes::ILLEGAL_TYPE_OF_ARGUMENT);
|
||
|
||
return arguments[0];
|
||
}
|
||
|
||
/// Выполнить функцию над блоком.
|
||
void execute(Block & block, const ColumnNumbers & arguments, size_t result) override
|
||
{
|
||
if (!( executeForType<UInt8>(block, arguments, result)
|
||
|| executeForType<UInt16>(block, arguments, result)
|
||
|| executeForType<UInt32>(block, arguments, result)
|
||
|| executeForType<UInt64>(block, arguments, result)
|
||
|| executeForType<Int8>(block, arguments, result)
|
||
|| executeForType<Int16>(block, arguments, result)
|
||
|| executeForType<Int32>(block, arguments, result)
|
||
|| executeForType<Int64>(block, arguments, result)
|
||
|| executeForType<Float32>(block, arguments, result)
|
||
|| executeForType<Float64>(block, arguments, result)))
|
||
{
|
||
throw Exception("Illegal column " + block.getByPosition(arguments[0]).column->getName()
|
||
+ " of argument of function " + getName(),
|
||
ErrorCodes::ILLEGAL_COLUMN);
|
||
}
|
||
}
|
||
};
|
||
|
||
struct NameRoundToExp2 { static constexpr auto name = "roundToExp2"; };
|
||
struct NameRoundDuration { static constexpr auto name = "roundDuration"; };
|
||
struct NameRoundAge { static constexpr auto name = "roundAge"; };
|
||
struct NameRound { static constexpr auto name = "round"; };
|
||
struct NameCeil { static constexpr auto name = "ceil"; };
|
||
struct NameFloor { static constexpr auto name = "floor"; };
|
||
|
||
typedef FunctionUnaryArithmetic<RoundToExp2Impl, NameRoundToExp2> FunctionRoundToExp2;
|
||
typedef FunctionUnaryArithmetic<RoundDurationImpl, NameRoundDuration> FunctionRoundDuration;
|
||
typedef FunctionUnaryArithmetic<RoundAgeImpl, NameRoundAge> FunctionRoundAge;
|
||
typedef FunctionRounding<NameRound, _MM_FROUND_NINT> FunctionRound;
|
||
typedef FunctionRounding<NameCeil, _MM_FROUND_CEIL> FunctionCeil;
|
||
typedef FunctionRounding<NameFloor, _MM_FROUND_FLOOR> FunctionFloor;
|
||
}
|