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493 lines
15 KiB
C++
493 lines
15 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 - сколько знаков после запятой оставить; 0 по умолчанию).
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* ceil(x, N) - наименьшее число, которое не меньше x (N - сколько знаков после запятой оставить; 0 по умолчанию).
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* floor(x, N) - наибольшее число, которое не больше x (N - сколько знаков после запятой оставить; 0 по умолчанию).
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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 < 18 ? 0
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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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/// Реализация функций округления на низком уровне.
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template<typename T, int rounding_mode>
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struct RoundingComputation
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{
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};
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template<int rounding_mode>
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struct RoundingComputation<Float32, rounding_mode>
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{
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using Data = std::array<Float32, 4>;
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using Scale = __m128;
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static inline void prepareScale(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 Data & in, const Scale & mm_scale, Data & out)
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{
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Float32 input[4] __attribute__((aligned(16))) = {in[0], in[1], in[2], in[3]};
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__m128 mm_value = _mm_load_ps(input);
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mm_value = _mm_mul_ps(mm_value, mm_scale);
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mm_value = _mm_round_ps(mm_value, rounding_mode);
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mm_value = _mm_div_ps(mm_value, mm_scale);
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Float32 res[4] __attribute__((aligned(16)));
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_mm_store_ps(res, mm_value);
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out = {res[0], res[1], res[2], res[3]};
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}
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};
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template<int rounding_mode>
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struct RoundingComputation<Float64, rounding_mode>
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{
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using Data = std::array<Float64, 2>;
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using Scale = __m128d;
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static inline void prepareScale(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 Data & in, const Scale & mm_scale, Data & out)
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{
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Float64 input[2] __attribute__((aligned(16))) = { in[0], in[1] };
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__m128d mm_value = _mm_load_pd(input);
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mm_value = _mm_mul_pd(mm_value, mm_scale);
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mm_value = _mm_round_pd(mm_value, rounding_mode);
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mm_value = _mm_div_pd(mm_value, mm_scale);
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Float64 res[2] __attribute__((aligned(16)));
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_mm_store_pd(res, mm_value);
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out = {res[0], res[1]};
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}
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};
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/// Реализация функций округления на высоком уровне.
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template<typename T, int rounding_mode, typename Enable = void>
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struct FunctionRoundingImpl
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{
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};
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/// В случае целочисленных значений не выполяется округления.
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template<typename T, int rounding_mode>
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struct FunctionRoundingImpl<T, rounding_mode, typename std::enable_if<std::is_integral<T>::value>::type>
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{
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static inline void apply(const PODArray<T> & in, size_t scale, typename ColumnVector<T>::Container_t & out)
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{
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size_t size = in.size();
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for (size_t i = 0; i < size; ++i)
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out[i] = in[i];
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}
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static inline T apply(T val, size_t scale)
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{
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return val;
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}
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};
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template<typename T, int rounding_mode>
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struct FunctionRoundingImpl<T, rounding_mode, typename std::enable_if<std::is_floating_point<T>::value>::type>
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{
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private:
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using Op = RoundingComputation<T, rounding_mode>;
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using Data = typename Op::Data;
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using Scale = typename Op::Scale;
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public:
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static inline void apply(const PODArray<T> & in, size_t scale, typename ColumnVector<T>::Container_t & out)
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{
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Scale mm_scale;
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Op::prepareScale(scale, mm_scale);
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const size_t size = in.size();
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const size_t data_size = std::tuple_size<Data>();
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size_t i;
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for (i = 0; i < (size - data_size + 1); i += data_size)
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{
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Data tmp;
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for (size_t j = 0; j < data_size; ++j)
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tmp[j] = in[i + j];
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Data res;
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Op::compute(tmp, mm_scale, res);
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for (size_t j = 0; j < data_size; ++j)
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out[i + j] = res[j];
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}
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if (i < size)
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{
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Data tmp{0};
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for (size_t j = 0; (j < data_size) && (i + j) < size; ++j)
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tmp[j] = in[i + j];
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Data res;
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Op::compute(tmp, mm_scale, res);
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for (size_t j = 0; (j < data_size) && (i + j) < size; ++j)
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out[i + j] = in[i + j];
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}
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}
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static inline T apply(T val, size_t scale)
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{
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if (val == 0)
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return val;
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else
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{
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Scale mm_scale;
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Op::prepareScale(scale, mm_scale);
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Data tmp{0};
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tmp[0] = val;
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Data res;
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Op::compute(tmp, mm_scale, res);
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return res[0];
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}
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}
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};
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template<typename T, typename U>
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struct PrecisionForType
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{
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template<typename L = T>
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static inline bool apply(const ColumnPtr & column, UInt8 & precision,
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typename std::enable_if<std::is_floating_point<L>::value>::type * = nullptr)
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{
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using ColumnType = ColumnConst<U>;
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const ColumnType * precision_col = typeid_cast<const ColumnType *>(&*column);
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if (precision_col == nullptr)
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return false;
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U val = precision_col->getData();
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if (val < 0)
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val = 0;
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else if (val >= static_cast<U>(std::numeric_limits<L>::digits10))
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val = static_cast<U>(std::numeric_limits<L>::digits10);
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precision = static_cast<UInt8>(val);
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return true;
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}
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/// Для целых чисел точность не имеет значения.
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template<typename L = T>
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static inline bool apply(const ColumnPtr & column, UInt8 & precision,
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typename std::enable_if<std::is_integral<L>::value>::type * = nullptr)
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{
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using ColumnType = ColumnConst<U>;
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const ColumnType * precision_col = typeid_cast<const ColumnType *>(&*column);
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if (precision_col == nullptr)
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return false;
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precision = 0;
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return true;
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}
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};
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/// Следующий код генерирует во время сборки таблицу степеней числа 10.
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namespace
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{
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/// Отдельные степени числа 10.
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template<size_t N>
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struct PowerOf10
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{
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static const size_t value = 10 * PowerOf10<N - 1>::value;
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};
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template<>
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struct PowerOf10<0>
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{
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static const size_t value = 1;
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};
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}
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/// Объявление и определение контейнера содержащего таблицу степеней числа 10.
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template<size_t... TArgs>
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struct TableContainer
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{
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static const std::array<size_t, sizeof...(TArgs)> values;
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};
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template<size_t... TArgs>
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const std::array<size_t, sizeof...(TArgs)> TableContainer<TArgs...>::values = { TArgs... };
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/// Генератор первых N степеней.
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template<size_t N, size_t... TArgs>
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struct FillArrayImpl
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{
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using result = typename FillArrayImpl<N - 1, PowerOf10<N>::value, TArgs...>::result;
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};
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template<size_t... TArgs>
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struct FillArrayImpl<0, TArgs...>
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{
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using result = TableContainer<PowerOf10<0>::value, TArgs...>;
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};
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template<size_t N>
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struct FillArray
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{
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using result = typename FillArrayImpl<N - 1>::result;
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};
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/** Шаблон для функций, которые вычисляют приближенное значение входного параметра
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* типа (U)Int8/16/32/64 или Float32/64 и принимают дополнительный необязятельный
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* параметр указывающий сколько знаков после запятой оставить (по умолчанию - 0).
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* Op - функция (round/floor/ceil)
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*/
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template<typename Name, int rounding_mode>
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class FunctionRounding : public IFunction
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{
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public:
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static constexpr auto name = Name::name;
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static IFunction * create(const Context & context) { return new FunctionRounding; }
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private:
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using PowersOf10 = FillArray<std::numeric_limits<Float64>::digits10 + 1>::result;
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private:
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template<typename T>
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bool checkType(const IDataType * type) const
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{
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return typeid_cast<const T *>(type) != nullptr;
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}
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template<typename T>
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bool executeForType(Block & block, const ColumnNumbers & arguments, size_t result)
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{
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if (ColumnVector<T> * col = typeid_cast<ColumnVector<T> *>(&*block.getByPosition(arguments[0]).column))
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{
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UInt8 precision = 0;
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if (arguments.size() == 2)
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precision = getPrecision<T>(block.getByPosition(arguments[1]).column);
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ColumnVector<T> * col_res = new ColumnVector<T>;
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block.getByPosition(result).column = col_res;
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typename ColumnVector<T>::Container_t & vec_res = col_res->getData();
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vec_res.resize(col->getData().size());
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FunctionRoundingImpl<T, rounding_mode>::apply(col->getData(), PowersOf10::values[precision], vec_res);
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return true;
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}
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else if (ColumnConst<T> * col = typeid_cast<ColumnConst<T> *>(&*block.getByPosition(arguments[0]).column))
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{
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UInt8 precision = 0;
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if (arguments.size() == 2)
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precision = getPrecision<T>(block.getByPosition(arguments[1]).column);
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T res = FunctionRoundingImpl<T, rounding_mode>::apply(col->getData(), PowersOf10::values[precision]);
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ColumnConst<T> * col_res = new ColumnConst<T>(col->size(), res);
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block.getByPosition(result).column = col_res;
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return true;
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}
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return false;
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}
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/// В зависимости от входного параметра, определить какая нужна точность
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/// для результата.
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template<typename T>
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UInt8 getPrecision(const ColumnPtr & column)
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{
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UInt8 precision = 0;
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if (!( PrecisionForType<T, UInt8>::apply(column, precision)
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|| PrecisionForType<T, UInt16>::apply(column, precision)
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|| PrecisionForType<T, UInt16>::apply(column, precision)
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|| PrecisionForType<T, UInt32>::apply(column, precision)
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|| PrecisionForType<T, UInt64>::apply(column, precision)
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|| PrecisionForType<T, Int8>::apply(column, precision)
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|| PrecisionForType<T, Int16>::apply(column, precision)
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|| PrecisionForType<T, Int32>::apply(column, precision)
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|| PrecisionForType<T, Int64>::apply(column, precision)))
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{
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throw Exception("Illegal column " + column->getName()
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+ " of second ('precision') argument of function " + getName(),
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ErrorCodes::ILLEGAL_COLUMN);
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}
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return precision;
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}
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public:
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/// Получить имя функции.
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String getName() const override
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{
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return name;
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}
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/// Получить типы результата по типам аргументов. Если функция неприменима для данных аргументов - кинуть исключение.
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DataTypePtr getReturnType(const DataTypes & arguments) const override
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{
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if ((arguments.size() < 1) || (arguments.size() > 2))
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throw Exception("Number of arguments for function " + getName() + " doesn't match: passed "
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+ toString(arguments.size()) + ", should be 1 or 2.",
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ErrorCodes::NUMBER_OF_ARGUMENTS_DOESNT_MATCH);
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if (arguments.size() == 2)
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{
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const IDataType * type = &*arguments[1];
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if (!( checkType<DataTypeUInt8>(type)
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|| checkType<DataTypeUInt16>(type)
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|| checkType<DataTypeUInt32>(type)
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|| checkType<DataTypeUInt64>(type)
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|| checkType<DataTypeInt8>(type)
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|| checkType<DataTypeInt16>(type)
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|| checkType<DataTypeInt32>(type)
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|| checkType<DataTypeInt64>(type)))
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{
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throw Exception("Illegal type in second 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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const IDataType * type = &*arguments[0];
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if (!type->behavesAsNumber())
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throw Exception("Illegal type " + arguments[0]->getName() + " of argument of function " + getName(),
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ErrorCodes::ILLEGAL_TYPE_OF_ARGUMENT);
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return arguments[0];
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}
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/// Выполнить функцию над блоком.
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void execute(Block & block, const ColumnNumbers & arguments, size_t result) override
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{
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if (!( executeForType<UInt8>(block, arguments, result)
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|| executeForType<UInt16>(block, arguments, result)
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|| executeForType<UInt32>(block, arguments, result)
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|| executeForType<UInt64>(block, arguments, result)
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|| executeForType<Int8>(block, arguments, result)
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|| executeForType<Int16>(block, arguments, result)
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|| executeForType<Int32>(block, arguments, result)
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|| executeForType<Int64>(block, arguments, result)
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|| executeForType<Float32>(block, arguments, result)
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|| executeForType<Float64>(block, arguments, result)))
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{
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throw Exception("Illegal column " + block.getByPosition(arguments[0]).column->getName()
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+ " 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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struct NameRoundToExp2 { static constexpr auto name = "roundToExp2"; };
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struct NameRoundDuration { static constexpr auto name = "roundDuration"; };
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struct NameRoundAge { static constexpr auto name = "roundAge"; };
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struct NameRound { static constexpr auto name = "round"; };
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struct NameCeil { static constexpr auto name = "ceil"; };
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struct NameFloor { static constexpr auto name = "floor"; };
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typedef FunctionUnaryArithmetic<RoundToExp2Impl, NameRoundToExp2> FunctionRoundToExp2;
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typedef FunctionUnaryArithmetic<RoundDurationImpl, NameRoundDuration> FunctionRoundDuration;
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typedef FunctionUnaryArithmetic<RoundAgeImpl, NameRoundAge> FunctionRoundAge;
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typedef FunctionRounding<NameRound, _MM_FROUND_NINT> FunctionRound;
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typedef FunctionRounding<NameCeil, _MM_FROUND_CEIL> FunctionCeil;
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typedef FunctionRounding<NameFloor, _MM_FROUND_FLOOR> FunctionFloor;
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}
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