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817 lines
28 KiB
C++
817 lines
28 KiB
C++
#pragma once
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#include <Functions/FunctionHelpers.h>
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#include <IO/WriteHelpers.h>
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#include <DataTypes/getLeastSupertype.h>
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#include <DataTypes/DataTypeArray.h>
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#include <DataTypes/DataTypesNumber.h>
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#include <DataTypes/DataTypesDecimal.h>
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#include <DataTypes/DataTypeDateTime64.h>
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#include <Columns/ColumnVector.h>
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#include <Interpreters/castColumn.h>
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#include "IFunction.h"
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#include <Common/intExp.h>
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#include <Common/assert_cast.h>
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#include <Core/Defines.h>
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#include <cmath>
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#include <type_traits>
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#include <array>
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#include <base/bit_cast.h>
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#include <base/sort.h>
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#include <algorithm>
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#ifdef __SSE4_1__
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#include <smmintrin.h>
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#else
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#include <fenv.h>
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#endif
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namespace DB
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{
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namespace ErrorCodes
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{
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extern const int NUMBER_OF_ARGUMENTS_DOESNT_MATCH;
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extern const int ILLEGAL_TYPE_OF_ARGUMENT;
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extern const int ARGUMENT_OUT_OF_BOUND;
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extern const int ILLEGAL_COLUMN;
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extern const int BAD_ARGUMENTS;
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extern const int CANNOT_SET_ROUNDING_MODE;
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}
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/** Rounding Functions:
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* round(x, N) - rounding to nearest (N = 0 by default). Use banker's rounding for floating point numbers.
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* roundBankers(x, N) - rounding to nearest (N = 0 by default). Use banker's rounding for all numbers.
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* floor(x, N) is the largest number <= x (N = 0 by default).
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* ceil(x, N) is the smallest number >= x (N = 0 by default).
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* trunc(x, N) - is the largest by absolute value number that is not greater than x by absolute value (N = 0 by default).
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*
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* The value of the parameter N (scale):
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* - N > 0: round to the number with N decimal places after the decimal point
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* - N < 0: round to an integer with N zero characters
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* - N = 0: round to an integer
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*
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* Type of the result is the type of argument.
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* For integer arguments, when passing negative scale, overflow can occur.
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* In that case, the behavior is implementation specific.
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*/
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/** This parameter controls the behavior of the rounding functions.
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*/
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enum class ScaleMode
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{
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Positive, // round to a number with N decimal places after the decimal point
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Negative, // round to an integer with N zero characters
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Zero, // round to an integer
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};
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enum class RoundingMode
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{
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#ifdef __SSE4_1__
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Round = _MM_FROUND_TO_NEAREST_INT | _MM_FROUND_NO_EXC,
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Floor = _MM_FROUND_TO_NEG_INF | _MM_FROUND_NO_EXC,
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Ceil = _MM_FROUND_TO_POS_INF | _MM_FROUND_NO_EXC,
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Trunc = _MM_FROUND_TO_ZERO | _MM_FROUND_NO_EXC,
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#else
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Round = 8, /// Values are correspond to above just in case.
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Floor = 9,
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Ceil = 10,
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Trunc = 11,
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#endif
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};
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enum class TieBreakingMode
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{
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Auto, // use banker's rounding for floating point numbers, round up otherwise
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Bankers, // use banker's rounding
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};
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/// For N, no more than the number of digits in the largest type.
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using Scale = Int16;
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/** Rounding functions for integer values.
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*/
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template <typename T, RoundingMode rounding_mode, ScaleMode scale_mode, TieBreakingMode tie_breaking_mode>
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struct IntegerRoundingComputation
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{
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static const size_t data_count = 1;
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static size_t prepare(size_t scale)
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{
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return scale;
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}
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/// Integer overflow is Ok.
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static ALWAYS_INLINE_NO_SANITIZE_UNDEFINED T computeImpl(T x, T scale)
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{
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switch (rounding_mode)
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{
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case RoundingMode::Trunc:
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{
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return x / scale * scale;
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}
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case RoundingMode::Floor:
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{
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if (x < 0)
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x -= scale - 1;
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return x / scale * scale;
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}
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case RoundingMode::Ceil:
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{
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if (x >= 0)
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x += scale - 1;
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return x / scale * scale;
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}
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case RoundingMode::Round:
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{
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if (x < 0)
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x -= scale;
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switch (tie_breaking_mode)
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{
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case TieBreakingMode::Auto:
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x = (x + scale / 2) / scale * scale;
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break;
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case TieBreakingMode::Bankers:
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{
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T quotient = (x + scale / 2) / scale;
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if (quotient * scale == x + scale / 2)
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// round half to even
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x = ((quotient + (x < 0)) & ~1) * scale;
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else
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// round the others as usual
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x = quotient * scale;
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break;
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}
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}
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return x;
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}
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}
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__builtin_unreachable();
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}
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static ALWAYS_INLINE T compute(T x, T scale)
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{
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switch (scale_mode)
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{
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case ScaleMode::Zero:
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case ScaleMode::Positive:
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return x;
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case ScaleMode::Negative:
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return computeImpl(x, scale);
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}
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__builtin_unreachable();
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}
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static ALWAYS_INLINE void compute(const T * __restrict in, size_t scale, T * __restrict out)
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{
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if constexpr (sizeof(T) <= sizeof(scale) && scale_mode == ScaleMode::Negative)
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{
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if (scale > size_t(std::numeric_limits<T>::max()))
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{
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*out = 0;
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return;
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}
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}
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*out = compute(*in, scale);
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}
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};
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#ifdef __SSE4_1__
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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 ScalarType = Float32;
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using VectorType = __m128;
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static const size_t data_count = 4;
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static VectorType load(const ScalarType * in) { return _mm_loadu_ps(in); }
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static VectorType load1(const ScalarType in) { return _mm_load1_ps(&in); }
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static void store(ScalarType * out, VectorType val) { _mm_storeu_ps(out, val);}
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static VectorType multiply(VectorType val, VectorType scale) { return _mm_mul_ps(val, scale); }
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static VectorType divide(VectorType val, VectorType scale) { return _mm_div_ps(val, scale); }
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template <RoundingMode mode> static VectorType apply(VectorType val) { return _mm_round_ps(val, int(mode)); }
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static VectorType prepare(size_t scale)
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{
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return load1(scale);
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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 ScalarType = Float64;
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using VectorType = __m128d;
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static const size_t data_count = 2;
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static VectorType load(const ScalarType * in) { return _mm_loadu_pd(in); }
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static VectorType load1(const ScalarType in) { return _mm_load1_pd(&in); }
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static void store(ScalarType * out, VectorType val) { _mm_storeu_pd(out, val);}
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static VectorType multiply(VectorType val, VectorType scale) { return _mm_mul_pd(val, scale); }
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static VectorType divide(VectorType val, VectorType scale) { return _mm_div_pd(val, scale); }
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template <RoundingMode mode> static VectorType apply(VectorType val) { return _mm_round_pd(val, int(mode)); }
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static VectorType prepare(size_t scale)
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{
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return load1(scale);
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}
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};
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#else
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/// Implementation for ARM. Not vectorized.
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inline float roundWithMode(float x, RoundingMode mode)
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{
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switch (mode)
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{
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case RoundingMode::Round: return nearbyintf(x);
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case RoundingMode::Floor: return floorf(x);
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case RoundingMode::Ceil: return ceilf(x);
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case RoundingMode::Trunc: return truncf(x);
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}
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__builtin_unreachable();
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}
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inline double roundWithMode(double x, RoundingMode mode)
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{
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switch (mode)
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{
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case RoundingMode::Round: return nearbyint(x);
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case RoundingMode::Floor: return floor(x);
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case RoundingMode::Ceil: return ceil(x);
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case RoundingMode::Trunc: return trunc(x);
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}
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__builtin_unreachable();
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}
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template <typename T>
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class BaseFloatRoundingComputation
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{
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public:
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using ScalarType = T;
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using VectorType = T;
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static const size_t data_count = 1;
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static VectorType load(const ScalarType * in) { return *in; }
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static VectorType load1(const ScalarType in) { return in; }
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static VectorType store(ScalarType * out, ScalarType val) { return *out = val;}
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static VectorType multiply(VectorType val, VectorType scale) { return val * scale; }
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static VectorType divide(VectorType val, VectorType scale) { return val / scale; }
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template <RoundingMode mode> static VectorType apply(VectorType val) { return roundWithMode(val, mode); }
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static VectorType prepare(size_t scale)
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{
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return load1(scale);
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}
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};
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#endif
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/** Implementation of low-level round-off functions for floating-point values.
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*/
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template <typename T, RoundingMode rounding_mode, ScaleMode scale_mode>
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class FloatRoundingComputation : public BaseFloatRoundingComputation<T>
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{
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using Base = BaseFloatRoundingComputation<T>;
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public:
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static inline void compute(const T * __restrict in, const typename Base::VectorType & scale, T * __restrict out)
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{
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auto val = Base::load(in);
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if (scale_mode == ScaleMode::Positive)
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val = Base::multiply(val, scale);
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else if (scale_mode == ScaleMode::Negative)
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val = Base::divide(val, scale);
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val = Base::template apply<rounding_mode>(val);
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if (scale_mode == ScaleMode::Positive)
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val = Base::divide(val, scale);
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else if (scale_mode == ScaleMode::Negative)
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val = Base::multiply(val, scale);
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Base::store(out, val);
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}
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};
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/** Implementing high-level rounding functions.
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*/
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template <typename T, RoundingMode rounding_mode, ScaleMode scale_mode>
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struct FloatRoundingImpl
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{
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private:
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static_assert(!is_decimal<T>);
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using Op = FloatRoundingComputation<T, rounding_mode, scale_mode>;
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using Data = std::array<T, Op::data_count>;
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using ColumnType = ColumnVector<T>;
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using Container = typename ColumnType::Container;
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public:
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static NO_INLINE void apply(const Container & in, size_t scale, Container & out)
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{
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auto mm_scale = Op::prepare(scale);
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const size_t data_count = std::tuple_size<Data>();
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const T* end_in = in.data() + in.size();
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const T* limit = in.data() + in.size() / data_count * data_count;
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const T* __restrict p_in = in.data();
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T* __restrict p_out = out.data();
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while (p_in < limit)
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{
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Op::compute(p_in, mm_scale, p_out);
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p_in += data_count;
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p_out += data_count;
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}
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if (p_in < end_in)
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{
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Data tmp_src{{}};
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Data tmp_dst;
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size_t tail_size_bytes = (end_in - p_in) * sizeof(*p_in);
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memcpy(&tmp_src, p_in, tail_size_bytes);
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Op::compute(reinterpret_cast<T *>(&tmp_src), mm_scale, reinterpret_cast<T *>(&tmp_dst));
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memcpy(p_out, &tmp_dst, tail_size_bytes);
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}
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}
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};
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template <typename T, RoundingMode rounding_mode, ScaleMode scale_mode, TieBreakingMode tie_breaking_mode>
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struct IntegerRoundingImpl
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{
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private:
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using Op = IntegerRoundingComputation<T, rounding_mode, scale_mode, tie_breaking_mode>;
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using Container = typename ColumnVector<T>::Container;
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public:
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template <size_t scale>
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static NO_INLINE void applyImpl(const Container & in, Container & out)
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{
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const T * end_in = in.data() + in.size();
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const T * __restrict p_in = in.data();
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T * __restrict p_out = out.data();
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while (p_in < end_in)
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{
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Op::compute(p_in, scale, p_out);
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++p_in;
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++p_out;
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}
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}
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static NO_INLINE void apply(const Container & in, size_t scale, Container & out)
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{
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/// Manual function cloning for compiler to generate integer division by constant.
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switch (scale)
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{
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case 1ULL: return applyImpl<1ULL>(in, out);
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case 10ULL: return applyImpl<10ULL>(in, out);
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case 100ULL: return applyImpl<100ULL>(in, out);
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case 1000ULL: return applyImpl<1000ULL>(in, out);
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case 10000ULL: return applyImpl<10000ULL>(in, out);
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case 100000ULL: return applyImpl<100000ULL>(in, out);
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case 1000000ULL: return applyImpl<1000000ULL>(in, out);
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case 10000000ULL: return applyImpl<10000000ULL>(in, out);
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case 100000000ULL: return applyImpl<100000000ULL>(in, out);
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case 1000000000ULL: return applyImpl<1000000000ULL>(in, out);
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case 10000000000ULL: return applyImpl<10000000000ULL>(in, out);
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case 100000000000ULL: return applyImpl<100000000000ULL>(in, out);
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case 1000000000000ULL: return applyImpl<1000000000000ULL>(in, out);
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case 10000000000000ULL: return applyImpl<10000000000000ULL>(in, out);
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case 100000000000000ULL: return applyImpl<100000000000000ULL>(in, out);
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case 1000000000000000ULL: return applyImpl<1000000000000000ULL>(in, out);
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case 10000000000000000ULL: return applyImpl<10000000000000000ULL>(in, out);
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case 100000000000000000ULL: return applyImpl<100000000000000000ULL>(in, out);
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case 1000000000000000000ULL: return applyImpl<1000000000000000000ULL>(in, out);
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case 10000000000000000000ULL: return applyImpl<10000000000000000000ULL>(in, out);
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default:
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throw Exception("Unexpected 'scale' parameter passed to function",
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ErrorCodes::BAD_ARGUMENTS);
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}
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}
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};
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template <is_decimal T, RoundingMode rounding_mode, TieBreakingMode tie_breaking_mode>
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class DecimalRoundingImpl
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{
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private:
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using NativeType = typename T::NativeType;
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using Op = IntegerRoundingComputation<NativeType, rounding_mode, ScaleMode::Negative, tie_breaking_mode>;
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using Container = typename ColumnDecimal<T>::Container;
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public:
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static NO_INLINE void apply(const Container & in, UInt32 in_scale, Container & out, Scale scale_arg)
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{
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scale_arg = in_scale - scale_arg;
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if (scale_arg > 0)
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{
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size_t scale = intExp10(scale_arg);
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const NativeType * __restrict p_in = reinterpret_cast<const NativeType *>(in.data());
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const NativeType * end_in = reinterpret_cast<const NativeType *>(in.data()) + in.size();
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NativeType * __restrict p_out = reinterpret_cast<NativeType *>(out.data());
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while (p_in < end_in)
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{
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Op::compute(p_in, scale, p_out);
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++p_in;
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++p_out;
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}
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}
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else
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{
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memcpy(out.data(), in.data(), in.size() * sizeof(T));
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}
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}
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};
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/** Select the appropriate processing algorithm depending on the scale.
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*/
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template <typename T, RoundingMode rounding_mode, TieBreakingMode tie_breaking_mode>
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struct Dispatcher
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{
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template <ScaleMode scale_mode>
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using FunctionRoundingImpl = std::conditional_t<std::is_floating_point_v<T>,
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FloatRoundingImpl<T, rounding_mode, scale_mode>,
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IntegerRoundingImpl<T, rounding_mode, scale_mode, tie_breaking_mode>>;
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static ColumnPtr apply(const IColumn * col_general, Scale scale_arg)
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{
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const auto * const col = checkAndGetColumn<ColumnVector<T>>(col_general);
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auto col_res = ColumnVector<T>::create();
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typename ColumnVector<T>::Container & vec_res = col_res->getData();
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vec_res.resize(col->getData().size());
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if (!vec_res.empty())
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{
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if (scale_arg == 0)
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{
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size_t scale = 1;
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FunctionRoundingImpl<ScaleMode::Zero>::apply(col->getData(), scale, vec_res);
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}
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else if (scale_arg > 0)
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{
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size_t scale = intExp10(scale_arg);
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FunctionRoundingImpl<ScaleMode::Positive>::apply(col->getData(), scale, vec_res);
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}
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else
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{
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size_t scale = intExp10(-scale_arg);
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FunctionRoundingImpl<ScaleMode::Negative>::apply(col->getData(), scale, vec_res);
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}
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}
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return col_res;
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}
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};
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template <is_decimal T, RoundingMode rounding_mode, TieBreakingMode tie_breaking_mode>
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struct Dispatcher<T, rounding_mode, tie_breaking_mode>
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{
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public:
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static ColumnPtr apply(const IColumn * col_general, Scale scale_arg)
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{
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const auto * const col = checkAndGetColumn<ColumnDecimal<T>>(col_general);
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const typename ColumnDecimal<T>::Container & vec_src = col->getData();
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auto col_res = ColumnDecimal<T>::create(vec_src.size(), col->getScale());
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auto & vec_res = col_res->getData();
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if (!vec_res.empty())
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DecimalRoundingImpl<T, rounding_mode, tie_breaking_mode>::apply(col->getData(), col->getScale(), vec_res, scale_arg);
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return col_res;
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}
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};
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/** A template for functions that round the value of an input parameter of type
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* (U)Int8/16/32/64, Float32/64 or Decimal32/64/128, and accept an additional optional parameter (default is 0).
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*/
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template <typename Name, RoundingMode rounding_mode, TieBreakingMode tie_breaking_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 FunctionPtr create(ContextPtr) { return std::make_shared<FunctionRounding>(); }
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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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bool isVariadic() const override { return true; }
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size_t getNumberOfArguments() const override { return 0; }
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bool isSuitableForShortCircuitArgumentsExecution(const DataTypesWithConstInfo & /*arguments*/) const override { return false; }
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/// Get result types by argument types. If the function does not apply to these arguments, throw an exception.
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DataTypePtr getReturnTypeImpl(const DataTypes & arguments) const override
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{
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if ((arguments.empty()) || (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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for (const auto & type : arguments)
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if (!isNumber(type))
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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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static Scale getScaleArg(const ColumnsWithTypeAndName & arguments)
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{
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if (arguments.size() == 2)
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{
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const IColumn & scale_column = *arguments[1].column;
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if (!isColumnConst(scale_column))
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throw Exception("Scale argument for rounding functions must be constant", ErrorCodes::ILLEGAL_COLUMN);
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Field scale_field = assert_cast<const ColumnConst &>(scale_column).getField();
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if (scale_field.getType() != Field::Types::UInt64
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&& scale_field.getType() != Field::Types::Int64)
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throw Exception("Scale argument for rounding functions must have integer type", ErrorCodes::ILLEGAL_COLUMN);
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Int64 scale64 = scale_field.get<Int64>();
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if (scale64 > std::numeric_limits<Scale>::max()
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|| scale64 < std::numeric_limits<Scale>::min())
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throw Exception("Scale argument for rounding function is too large", ErrorCodes::ARGUMENT_OUT_OF_BOUND);
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return scale64;
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}
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return 0;
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}
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bool useDefaultImplementationForConstants() const override { return true; }
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ColumnNumbers getArgumentsThatAreAlwaysConstant() const override { return {1}; }
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ColumnPtr executeImpl(const ColumnsWithTypeAndName & arguments, const DataTypePtr &, size_t /*input_rows_count*/) const override
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{
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const ColumnWithTypeAndName & column = arguments[0];
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Scale scale_arg = getScaleArg(arguments);
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ColumnPtr res;
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auto call = [&](const auto & types) -> bool
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{
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using Types = std::decay_t<decltype(types)>;
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using DataType = typename Types::LeftType;
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if constexpr (IsDataTypeNumber<DataType> || IsDataTypeDecimal<DataType>)
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{
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using FieldType = typename DataType::FieldType;
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res = Dispatcher<FieldType, rounding_mode, tie_breaking_mode>::apply(column.column.get(), scale_arg);
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return true;
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}
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return false;
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};
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#if !defined(__SSE4_1__)
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/// In case of "nearbyint" function is used, we should ensure the expected rounding mode for the Banker's rounding.
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/// Actually it is by default. But we will set it just in case.
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if constexpr (rounding_mode == RoundingMode::Round)
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if (0 != fesetround(FE_TONEAREST))
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throw Exception("Cannot set floating point rounding mode", ErrorCodes::CANNOT_SET_ROUNDING_MODE);
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#endif
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if (!callOnIndexAndDataType<void>(column.type->getTypeId(), call))
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{
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throw Exception("Illegal column " + column.name + " of argument of function " + getName(),
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ErrorCodes::ILLEGAL_COLUMN);
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}
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return res;
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}
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bool hasInformationAboutMonotonicity() const override
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{
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return true;
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}
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Monotonicity getMonotonicityForRange(const IDataType &, const Field &, const Field &) const override
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{
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return { .is_monotonic = true, .is_always_monotonic = true };
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}
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};
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/** Rounds down to a number within explicitly specified array.
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* If the value is less than the minimal bound - returns the minimal bound.
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*/
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class FunctionRoundDown : public IFunction
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{
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public:
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static constexpr auto name = "roundDown";
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static FunctionPtr create(ContextPtr) { return std::make_shared<FunctionRoundDown>(); }
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String getName() const override { return name; }
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bool isVariadic() const override { return false; }
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size_t getNumberOfArguments() const override { return 2; }
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bool useDefaultImplementationForConstants() const override { return true; }
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ColumnNumbers getArgumentsThatAreAlwaysConstant() const override { return {1}; }
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bool isSuitableForShortCircuitArgumentsExecution(const DataTypesWithConstInfo & /*arguments*/) const override { return false; }
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|
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DataTypePtr getReturnTypeImpl(const DataTypes & arguments) const override
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|
{
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const DataTypePtr & type_x = arguments[0];
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if (!isNumber(type_x))
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|
throw Exception{"Unsupported type " + type_x->getName()
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+ " of first argument of function " + getName()
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+ ", must be numeric type.", ErrorCodes::ILLEGAL_TYPE_OF_ARGUMENT};
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|
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const DataTypeArray * type_arr = checkAndGetDataType<DataTypeArray>(arguments[1].get());
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|
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if (!type_arr)
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throw Exception{"Second argument of function " + getName()
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+ ", must be array of boundaries to round to.", ErrorCodes::ILLEGAL_TYPE_OF_ARGUMENT};
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const auto type_arr_nested = type_arr->getNestedType();
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|
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|
if (!isNumber(type_arr_nested))
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|
{
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|
throw Exception{"Elements of array of second argument of function " + getName()
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|
+ " must be numeric type.", ErrorCodes::ILLEGAL_TYPE_OF_ARGUMENT};
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}
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return getLeastSupertype(DataTypes{type_x, type_arr_nested});
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}
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ColumnPtr executeImpl(const ColumnsWithTypeAndName & arguments, const DataTypePtr & result_type, size_t) const override
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|
{
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auto in_column = arguments[0].column;
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const auto & in_type = arguments[0].type;
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auto array_column = arguments[1].column;
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const auto & array_type = arguments[1].type;
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const auto & return_type = result_type;
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auto column_result = return_type->createColumn();
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auto * out = column_result.get();
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if (!in_type->equals(*return_type))
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in_column = castColumn(arguments[0], return_type);
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if (!array_type->equals(*return_type))
|
|
array_column = castColumn(arguments[1], std::make_shared<DataTypeArray>(return_type));
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const auto * in = in_column.get();
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auto boundaries = typeid_cast<const ColumnConst &>(*array_column).getValue<Array>();
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|
size_t num_boundaries = boundaries.size();
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|
if (!num_boundaries)
|
|
throw Exception("Empty array is illegal for boundaries in " + getName() + " function", ErrorCodes::BAD_ARGUMENTS);
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if (!executeNum<UInt8>(in, out, boundaries)
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&& !executeNum<UInt16>(in, out, boundaries)
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&& !executeNum<UInt32>(in, out, boundaries)
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&& !executeNum<UInt64>(in, out, boundaries)
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&& !executeNum<Int8>(in, out, boundaries)
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&& !executeNum<Int16>(in, out, boundaries)
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&& !executeNum<Int32>(in, out, boundaries)
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|
&& !executeNum<Int64>(in, out, boundaries)
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|
&& !executeNum<Float32>(in, out, boundaries)
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|
&& !executeNum<Float64>(in, out, boundaries)
|
|
&& !executeDecimal<Decimal32>(in, out, boundaries)
|
|
&& !executeDecimal<Decimal64>(in, out, boundaries)
|
|
&& !executeDecimal<Decimal128>(in, out, boundaries))
|
|
{
|
|
throw Exception{"Illegal column " + in->getName() + " of first argument of function " + getName(), ErrorCodes::ILLEGAL_COLUMN};
|
|
}
|
|
|
|
return column_result;
|
|
}
|
|
|
|
private:
|
|
template <typename T>
|
|
bool executeNum(const IColumn * in_untyped, IColumn * out_untyped, const Array & boundaries) const
|
|
{
|
|
const auto in = checkAndGetColumn<ColumnVector<T>>(in_untyped);
|
|
auto out = typeid_cast<ColumnVector<T> *>(out_untyped);
|
|
if (!in || !out)
|
|
return false;
|
|
|
|
executeImplNumToNum(in->getData(), out->getData(), boundaries);
|
|
return true;
|
|
}
|
|
|
|
template <typename T>
|
|
bool executeDecimal(const IColumn * in_untyped, IColumn * out_untyped, const Array & boundaries) const
|
|
{
|
|
const auto in = checkAndGetColumn<ColumnDecimal<T>>(in_untyped);
|
|
auto out = typeid_cast<ColumnDecimal<T> *>(out_untyped);
|
|
if (!in || !out)
|
|
return false;
|
|
|
|
executeImplNumToNum(in->getData(), out->getData(), boundaries);
|
|
return true;
|
|
}
|
|
|
|
template <typename Container>
|
|
void NO_INLINE executeImplNumToNum(const Container & src, Container & dst, const Array & boundaries) const
|
|
{
|
|
using ValueType = typename Container::value_type;
|
|
std::vector<ValueType> boundary_values(boundaries.size());
|
|
for (size_t i = 0; i < boundaries.size(); ++i)
|
|
boundary_values[i] = boundaries[i].get<ValueType>();
|
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|
|
::sort(boundary_values.begin(), boundary_values.end());
|
|
boundary_values.erase(std::unique(boundary_values.begin(), boundary_values.end()), boundary_values.end());
|
|
|
|
size_t size = src.size();
|
|
dst.resize(size);
|
|
|
|
if (boundary_values.size() < 32) /// Just a guess
|
|
{
|
|
/// Linear search with value on previous iteration as a hint.
|
|
/// Not optimal if the size of list is large and distribution of values is uniform random.
|
|
|
|
auto begin = boundary_values.begin();
|
|
auto end = boundary_values.end();
|
|
auto it = begin + (end - begin) / 2;
|
|
|
|
for (size_t i = 0; i < size; ++i)
|
|
{
|
|
auto value = src[i];
|
|
|
|
if (*it < value)
|
|
{
|
|
while (it != end && *it <= value)
|
|
++it;
|
|
if (it != begin)
|
|
--it;
|
|
}
|
|
else
|
|
{
|
|
while (*it > value && it != begin)
|
|
--it;
|
|
}
|
|
|
|
dst[i] = *it;
|
|
}
|
|
}
|
|
else
|
|
{
|
|
for (size_t i = 0; i < size; ++i)
|
|
{
|
|
auto it = std::upper_bound(boundary_values.begin(), boundary_values.end(), src[i]);
|
|
if (it == boundary_values.end())
|
|
{
|
|
dst[i] = boundary_values.back();
|
|
}
|
|
else if (it == boundary_values.begin())
|
|
{
|
|
dst[i] = boundary_values.front();
|
|
}
|
|
else
|
|
{
|
|
dst[i] = *(it - 1);
|
|
}
|
|
}
|
|
}
|
|
}
|
|
};
|
|
|
|
|
|
struct NameRound { static constexpr auto name = "round"; };
|
|
struct NameRoundBankers { static constexpr auto name = "roundBankers"; };
|
|
struct NameCeil { static constexpr auto name = "ceil"; };
|
|
struct NameFloor { static constexpr auto name = "floor"; };
|
|
struct NameTrunc { static constexpr auto name = "trunc"; };
|
|
|
|
using FunctionRound = FunctionRounding<NameRound, RoundingMode::Round, TieBreakingMode::Auto>;
|
|
using FunctionRoundBankers = FunctionRounding<NameRoundBankers, RoundingMode::Round, TieBreakingMode::Bankers>;
|
|
using FunctionFloor = FunctionRounding<NameFloor, RoundingMode::Floor, TieBreakingMode::Auto>;
|
|
using FunctionCeil = FunctionRounding<NameCeil, RoundingMode::Ceil, TieBreakingMode::Auto>;
|
|
using FunctionTrunc = FunctionRounding<NameTrunc, RoundingMode::Trunc, TieBreakingMode::Auto>;
|
|
|
|
}
|