thevar1able/ClickHouse
1
0
Fork 0
mirror of https://github.com/ClickHouse/ClickHouse.git synced 2024-11-21 15:12:02 +00:00
Code Issues Packages Projects Releases Wiki Activity

Another 256-bit integers (strict 32 bytes) (#14229)

Browse Source
This commit is contained in:
Artem Zuikov 2020-09-04 16:33:02 +03:00 committed by GitHub
parent f8aa6cfe8a
commit 7c20aa2c62
No known key found for this signature in database
GPG Key ID: 4AEE18F83AFDEB23
35 changed files with 2383 additions and 187 deletions
Show Stats Download Patch File Download Diff File Expand all files Collapse all files

26
base/common/arithmeticOverflow.h
View File

@ -38,18 +38,18 @@ namespace common
} }
template <> template <>
inline bool addOverflow(bInt256 x, bInt256 y, bInt256 & res) inline bool addOverflow(wInt256 x, wInt256 y, wInt256 & res)
{ {
res = x + y; res = x + y;
return (y > 0 && x > std::numeric_limits<bInt256>::max() - y) || return (y > 0 && x > std::numeric_limits<wInt256>::max() - y) ||
(y < 0 && x < std::numeric_limits<bInt256>::min() - y); (y < 0 && x < std::numeric_limits<wInt256>::min() - y);
} }
template <> template <>
inline bool addOverflow(bUInt256 x, bUInt256 y, bUInt256 & res) inline bool addOverflow(wUInt256 x, wUInt256 y, wUInt256 & res)
{ {
res = x + y; res = x + y;
return x > std::numeric_limits<bUInt256>::max() - y; return x > std::numeric_limits<wUInt256>::max() - y;
} }
template <typename T> template <typename T>
@ -86,15 +86,15 @@ namespace common
} }
template <> template <>
inline bool subOverflow(bInt256 x, bInt256 y, bInt256 & res) inline bool subOverflow(wInt256 x, wInt256 y, wInt256 & res)
{ {
res = x - y; res = x - y;
return (y < 0 && x > std::numeric_limits<bInt256>::max() + y) || return (y < 0 && x > std::numeric_limits<wInt256>::max() + y) ||
(y > 0 && x < std::numeric_limits<bInt256>::min() + y); (y > 0 && x < std::numeric_limits<wInt256>::min() + y);
} }
template <> template <>
inline bool subOverflow(bUInt256 x, bUInt256 y, bUInt256 & res) inline bool subOverflow(wUInt256 x, wUInt256 y, wUInt256 & res)
{ {
res = x - y; res = x - y;
return x < y; return x < y;
@ -137,19 +137,19 @@ namespace common
} }
template <> template <>
inline bool mulOverflow(bInt256 x, bInt256 y, bInt256 & res) inline bool mulOverflow(wInt256 x, wInt256 y, wInt256 & res)
{ {
res = x * y; res = x * y;
if (!x || !y) if (!x || !y)
return false; return false;
bInt256 a = (x > 0) ? x : -x; wInt256 a = (x > 0) ? x : -x;
bInt256 b = (y > 0) ? y : -y; wInt256 b = (y > 0) ? y : -y;
return (a * b) / b != a; return (a * b) / b != a;
} }
template <> template <>
inline bool mulOverflow(bUInt256 x, bUInt256 y, bUInt256 & res) inline bool mulOverflow(wUInt256 x, wUInt256 y, wUInt256 & res)
{ {
res = x * y; res = x * y;
if (!x || !y) if (!x || !y)

40
base/common/types.h
View File

@ -6,7 +6,7 @@
#include <string> #include <string>
#include <type_traits> #include <type_traits>
#include <boost/multiprecision/cpp_int.hpp> #include <common/wide_integer.h>
using Int8 = int8_t; using Int8 = int8_t;
using Int16 = int16_t; using Int16 = int16_t;
@ -25,12 +25,11 @@ using UInt64 = uint64_t;
using Int128 = __int128; using Int128 = __int128;
/// We have to use 127 and 255 bit integers to safe a bit for a sign serialization using wInt256 = std::wide_integer<256, signed>;
//using bInt256 = boost::multiprecision::int256_t; using wUInt256 = std::wide_integer<256, unsigned>;
using bInt256 = boost::multiprecision::number<boost::multiprecision::cpp_int_backend<
255, 255, boost::multiprecision::signed_magnitude, boost::multiprecision::unchecked, void> >;
using bUInt256 = boost::multiprecision::uint256_t;
static_assert(sizeof(wInt256) == 32);
static_assert(sizeof(wUInt256) == 32);
using String = std::string; using String = std::string;
@ -44,7 +43,7 @@ struct is_signed
}; };
template <> struct is_signed<Int128> { static constexpr bool value = true; }; template <> struct is_signed<Int128> { static constexpr bool value = true; };
template <> struct is_signed<bInt256> { static constexpr bool value = true; }; template <> struct is_signed<wInt256> { static constexpr bool value = true; };
template <typename T> template <typename T>
inline constexpr bool is_signed_v = is_signed<T>::value; inline constexpr bool is_signed_v = is_signed<T>::value;
@ -55,7 +54,7 @@ struct is_unsigned
static constexpr bool value = std::is_unsigned_v<T>; static constexpr bool value = std::is_unsigned_v<T>;
}; };
template <> struct is_unsigned<bUInt256> { static constexpr bool value = true; }; template <> struct is_unsigned<wUInt256> { static constexpr bool value = true; };
template <typename T> template <typename T>
inline constexpr bool is_unsigned_v = is_unsigned<T>::value; inline constexpr bool is_unsigned_v = is_unsigned<T>::value;
@ -69,8 +68,8 @@ struct is_integer
}; };
template <> struct is_integer<Int128> { static constexpr bool value = true; }; template <> struct is_integer<Int128> { static constexpr bool value = true; };
template <> struct is_integer<bInt256> { static constexpr bool value = true; }; template <> struct is_integer<wInt256> { static constexpr bool value = true; };
template <> struct is_integer<bUInt256> { static constexpr bool value = true; }; template <> struct is_integer<wUInt256> { static constexpr bool value = true; };
template <typename T> template <typename T>
inline constexpr bool is_integer_v = is_integer<T>::value; inline constexpr bool is_integer_v = is_integer<T>::value;
@ -93,9 +92,9 @@ struct make_unsigned
typedef std::make_unsigned_t<T> type; typedef std::make_unsigned_t<T> type;
}; };
template <> struct make_unsigned<__int128> { using type = unsigned __int128; }; template <> struct make_unsigned<Int128> { using type = unsigned __int128; };
template <> struct make_unsigned<bInt256> { using type = bUInt256; }; template <> struct make_unsigned<wInt256> { using type = wUInt256; };
template <> struct make_unsigned<bUInt256> { using type = bUInt256; }; template <> struct make_unsigned<wUInt256> { using type = wUInt256; };
template <typename T> using make_unsigned_t = typename make_unsigned<T>::type; template <typename T> using make_unsigned_t = typename make_unsigned<T>::type;
@ -105,8 +104,8 @@ struct make_signed
typedef std::make_signed_t<T> type; typedef std::make_signed_t<T> type;
}; };
template <> struct make_signed<bInt256> { typedef bInt256 type; }; template <> struct make_signed<wInt256> { using type = wInt256; };
template <> struct make_signed<bUInt256> { typedef bInt256 type; }; template <> struct make_signed<wUInt256> { using type = wInt256; };
template <typename T> using make_signed_t = typename make_signed<T>::type; template <typename T> using make_signed_t = typename make_signed<T>::type;
@ -116,8 +115,8 @@ struct is_big_int
static constexpr bool value = false; static constexpr bool value = false;
}; };
template <> struct is_big_int<bUInt256> { static constexpr bool value = true; }; template <> struct is_big_int<wInt256> { static constexpr bool value = true; };
template <> struct is_big_int<bInt256> { static constexpr bool value = true; }; template <> struct is_big_int<wUInt256> { static constexpr bool value = true; };
template <typename T> template <typename T>
inline constexpr bool is_big_int_v = is_big_int<T>::value; inline constexpr bool is_big_int_v = is_big_int<T>::value;
@ -125,14 +124,11 @@ inline constexpr bool is_big_int_v = is_big_int<T>::value;
template <typename T> template <typename T>
inline std::string bigintToString(const T & x) inline std::string bigintToString(const T & x)
{ {
return x.str(); return to_string(x);
} }
template <typename To, typename From> template <typename To, typename From>
inline To bigint_cast(const From & x [[maybe_unused]]) inline To bigint_cast(const From & x [[maybe_unused]])
{ {
if constexpr ((is_big_int_v<From> && std::is_same_v<To, UInt8>) || (is_big_int_v<To> && std::is_same_v<From, UInt8>)) return static_cast<To>(x);
return static_cast<uint8_t>(x);
else
return static_cast<To>(x);
} }

249
base/common/wide_integer.h Normal file
View File

@ -0,0 +1,249 @@
#pragma once
///////////////////////////////////////////////////////////////
// Distributed under the Boost Software License, Version 1.0.
// (See at http://www.boost.org/LICENSE_1_0.txt)
///////////////////////////////////////////////////////////////
/* Divide and multiply
*
*
* Copyright (c) 2008
* Evan Teran
*
* Permission to use, copy, modify, and distribute this software and its
* documentation for any purpose and without fee is hereby granted, provided
* that the above copyright notice appears in all copies and that both the
* copyright notice and this permission notice appear in supporting
* documentation, and that the same name not be used in advertising or
* publicity pertaining to distribution of the software without specific,
* written prior permission. We make no representations about the
* suitability this software for any purpose. It is provided "as is"
* without express or implied warranty.
*/
#include <climits> // CHAR_BIT
#include <cmath>
#include <cstdint>
#include <limits>
#include <type_traits>
namespace std
{
template <size_t Bits, typename Signed>
class wide_integer;
template <size_t Bits, typename Signed, size_t Bits2, typename Signed2>
struct common_type<wide_integer<Bits, Signed>, wide_integer<Bits2, Signed2>>;
template <size_t Bits, typename Signed, typename Arithmetic>
struct common_type<wide_integer<Bits, Signed>, Arithmetic>;
template <typename Arithmetic, size_t Bits, typename Signed>
struct common_type<Arithmetic, wide_integer<Bits, Signed>>;
template <size_t Bits, typename Signed>
class wide_integer
{
public:
using base_type = uint8_t;
using signed_base_type = int8_t;
// ctors
wide_integer() = default;
template <typename T>
constexpr wide_integer(T rhs) noexcept;
template <typename T>
constexpr wide_integer(std::initializer_list<T> il) noexcept;
// assignment
template <size_t Bits2, typename Signed2>
constexpr wide_integer<Bits, Signed> & operator=(const wide_integer<Bits2, Signed2> & rhs) noexcept;
template <typename Arithmetic>
constexpr wide_integer<Bits, Signed> & operator=(Arithmetic rhs) noexcept;
template <typename Arithmetic>
constexpr wide_integer<Bits, Signed> & operator*=(const Arithmetic & rhs);
template <typename Arithmetic>
constexpr wide_integer<Bits, Signed> & operator/=(const Arithmetic & rhs);
template <typename Arithmetic>
constexpr wide_integer<Bits, Signed> & operator+=(const Arithmetic & rhs) noexcept(is_same<Signed, unsigned>::value);
template <typename Arithmetic>
constexpr wide_integer<Bits, Signed> & operator-=(const Arithmetic & rhs) noexcept(is_same<Signed, unsigned>::value);
template <typename Integral>
constexpr wide_integer<Bits, Signed> & operator%=(const Integral & rhs);
template <typename Integral>
constexpr wide_integer<Bits, Signed> & operator&=(const Integral & rhs) noexcept;
template <typename Integral>
constexpr wide_integer<Bits, Signed> & operator|=(const Integral & rhs) noexcept;
template <typename Integral>
constexpr wide_integer<Bits, Signed> & operator^=(const Integral & rhs) noexcept;
constexpr wide_integer<Bits, Signed> & operator<<=(int n);
constexpr wide_integer<Bits, Signed> & operator>>=(int n) noexcept;
constexpr wide_integer<Bits, Signed> & operator++() noexcept(is_same<Signed, unsigned>::value);
constexpr wide_integer<Bits, Signed> operator++(int) noexcept(is_same<Signed, unsigned>::value);
constexpr wide_integer<Bits, Signed> & operator--() noexcept(is_same<Signed, unsigned>::value);
constexpr wide_integer<Bits, Signed> operator--(int) noexcept(is_same<Signed, unsigned>::value);
// observers
constexpr explicit operator bool() const noexcept;
template <class T>
using __integral_not_wide_integer_class = typename std::enable_if<std::is_arithmetic<T>::value, T>::type;
template <class T, class = __integral_not_wide_integer_class<T>>
constexpr operator T() const noexcept;
constexpr operator long double() const noexcept;
constexpr operator double() const noexcept;
constexpr operator float() const noexcept;
struct _impl;
private:
template <size_t Bits2, typename Signed2>
friend class wide_integer;
friend class numeric_limits<wide_integer<Bits, signed>>;
friend class numeric_limits<wide_integer<Bits, unsigned>>;
base_type m_arr[_impl::arr_size];
};
template <typename T>
static constexpr bool ArithmeticConcept() noexcept;
template <class T1, class T2>
using __only_arithmetic = typename std::enable_if<ArithmeticConcept<T1>() && ArithmeticConcept<T2>()>::type;
template <typename T>
static constexpr bool IntegralConcept() noexcept;
template <class T, class T2>
using __only_integer = typename std::enable_if<IntegralConcept<T>() && IntegralConcept<T2>()>::type;
// Unary operators
template <size_t Bits, typename Signed>
constexpr wide_integer<Bits, Signed> operator~(const wide_integer<Bits, Signed> & lhs) noexcept;
template <size_t Bits, typename Signed>
constexpr wide_integer<Bits, Signed> operator-(const wide_integer<Bits, Signed> & lhs) noexcept(is_same<Signed, unsigned>::value);
template <size_t Bits, typename Signed>
constexpr wide_integer<Bits, Signed> operator+(const wide_integer<Bits, Signed> & lhs) noexcept(is_same<Signed, unsigned>::value);
// Binary operators
template <size_t Bits, typename Signed, size_t Bits2, typename Signed2>
std::common_type_t<wide_integer<Bits, Signed>, wide_integer<Bits2, Signed2>> constexpr
operator*(const wide_integer<Bits, Signed> & lhs, const wide_integer<Bits2, Signed2> & rhs);
template <typename Arithmetic, typename Arithmetic2, class = __only_arithmetic<Arithmetic, Arithmetic2>>
std::common_type_t<Arithmetic, Arithmetic2> constexpr operator*(const Arithmetic & rhs, const Arithmetic2 & lhs);
template <size_t Bits, typename Signed, size_t Bits2, typename Signed2>
std::common_type_t<wide_integer<Bits, Signed>, wide_integer<Bits2, Signed2>> constexpr
operator/(const wide_integer<Bits, Signed> & lhs, const wide_integer<Bits2, Signed2> & rhs);
template <typename Arithmetic, typename Arithmetic2, class = __only_arithmetic<Arithmetic, Arithmetic2>>
std::common_type_t<Arithmetic, Arithmetic2> constexpr operator/(const Arithmetic & rhs, const Arithmetic2 & lhs);
template <size_t Bits, typename Signed, size_t Bits2, typename Signed2>
std::common_type_t<wide_integer<Bits, Signed>, wide_integer<Bits2, Signed2>> constexpr
operator+(const wide_integer<Bits, Signed> & lhs, const wide_integer<Bits2, Signed2> & rhs);
template <typename Arithmetic, typename Arithmetic2, class = __only_arithmetic<Arithmetic, Arithmetic2>>
std::common_type_t<Arithmetic, Arithmetic2> constexpr operator+(const Arithmetic & rhs, const Arithmetic2 & lhs);
template <size_t Bits, typename Signed, size_t Bits2, typename Signed2>
std::common_type_t<wide_integer<Bits, Signed>, wide_integer<Bits2, Signed2>> constexpr
operator-(const wide_integer<Bits, Signed> & lhs, const wide_integer<Bits2, Signed2> & rhs);
template <typename Arithmetic, typename Arithmetic2, class = __only_arithmetic<Arithmetic, Arithmetic2>>
std::common_type_t<Arithmetic, Arithmetic2> constexpr operator-(const Arithmetic & rhs, const Arithmetic2 & lhs);
template <size_t Bits, typename Signed, size_t Bits2, typename Signed2>
std::common_type_t<wide_integer<Bits, Signed>, wide_integer<Bits2, Signed2>> constexpr
operator%(const wide_integer<Bits, Signed> & lhs, const wide_integer<Bits2, Signed2> & rhs);
template <typename Integral, typename Integral2, class = __only_integer<Integral, Integral2>>
std::common_type_t<Integral, Integral2> constexpr operator%(const Integral & rhs, const Integral2 & lhs);
template <size_t Bits, typename Signed, size_t Bits2, typename Signed2>
std::common_type_t<wide_integer<Bits, Signed>, wide_integer<Bits2, Signed2>> constexpr
operator&(const wide_integer<Bits, Signed> & lhs, const wide_integer<Bits2, Signed2> & rhs);
template <typename Integral, typename Integral2, class = __only_integer<Integral, Integral2>>
std::common_type_t<Integral, Integral2> constexpr operator&(const Integral & rhs, const Integral2 & lhs);
template <size_t Bits, typename Signed, size_t Bits2, typename Signed2>
std::common_type_t<wide_integer<Bits, Signed>, wide_integer<Bits2, Signed2>> constexpr
operator|(const wide_integer<Bits, Signed> & lhs, const wide_integer<Bits2, Signed2> & rhs);
template <typename Integral, typename Integral2, class = __only_integer<Integral, Integral2>>
std::common_type_t<Integral, Integral2> constexpr operator|(const Integral & rhs, const Integral2 & lhs);
template <size_t Bits, typename Signed, size_t Bits2, typename Signed2>
std::common_type_t<wide_integer<Bits, Signed>, wide_integer<Bits2, Signed2>> constexpr
operator^(const wide_integer<Bits, Signed> & lhs, const wide_integer<Bits2, Signed2> & rhs);
template <typename Integral, typename Integral2, class = __only_integer<Integral, Integral2>>
std::common_type_t<Integral, Integral2> constexpr operator^(const Integral & rhs, const Integral2 & lhs);
// TODO: Integral
template <size_t Bits, typename Signed>
constexpr wide_integer<Bits, Signed> operator<<(const wide_integer<Bits, Signed> & lhs, int n) noexcept;
template <size_t Bits, typename Signed>
constexpr wide_integer<Bits, Signed> operator>>(const wide_integer<Bits, Signed> & lhs, int n) noexcept;
template <size_t Bits, typename Signed, typename Int, typename = std::enable_if_t<!std::is_same_v<Int, int>>>
constexpr wide_integer<Bits, Signed> operator<<(const wide_integer<Bits, Signed> & lhs, Int n) noexcept
{
return lhs << int(n);
}
template <size_t Bits, typename Signed, typename Int, typename = std::enable_if_t<!std::is_same_v<Int, int>>>
constexpr wide_integer<Bits, Signed> operator>>(const wide_integer<Bits, Signed> & lhs, Int n) noexcept
{
return lhs >> int(n);
}
template <size_t Bits, typename Signed, size_t Bits2, typename Signed2>
constexpr bool operator<(const wide_integer<Bits, Signed> & lhs, const wide_integer<Bits2, Signed2> & rhs);
template <typename Arithmetic, typename Arithmetic2, class = __only_arithmetic<Arithmetic, Arithmetic2>>
constexpr bool operator<(const Arithmetic & rhs, const Arithmetic2 & lhs);
template <size_t Bits, typename Signed, size_t Bits2, typename Signed2>
constexpr bool operator>(const wide_integer<Bits, Signed> & lhs, const wide_integer<Bits2, Signed2> & rhs);
template <typename Arithmetic, typename Arithmetic2, class = __only_arithmetic<Arithmetic, Arithmetic2>>
constexpr bool operator>(const Arithmetic & rhs, const Arithmetic2 & lhs);
template <size_t Bits, typename Signed, size_t Bits2, typename Signed2>
constexpr bool operator<=(const wide_integer<Bits, Signed> & lhs, const wide_integer<Bits2, Signed2> & rhs);
template <typename Arithmetic, typename Arithmetic2, class = __only_arithmetic<Arithmetic, Arithmetic2>>
constexpr bool operator<=(const Arithmetic & rhs, const Arithmetic2 & lhs);
template <size_t Bits, typename Signed, size_t Bits2, typename Signed2>
constexpr bool operator>=(const wide_integer<Bits, Signed> & lhs, const wide_integer<Bits2, Signed2> & rhs);
template <typename Arithmetic, typename Arithmetic2, class = __only_arithmetic<Arithmetic, Arithmetic2>>
constexpr bool operator>=(const Arithmetic & rhs, const Arithmetic2 & lhs);
template <size_t Bits, typename Signed, size_t Bits2, typename Signed2>
constexpr bool operator==(const wide_integer<Bits, Signed> & lhs, const wide_integer<Bits2, Signed2> & rhs);
template <typename Arithmetic, typename Arithmetic2, class = __only_arithmetic<Arithmetic, Arithmetic2>>
constexpr bool operator==(const Arithmetic & rhs, const Arithmetic2 & lhs);
template <size_t Bits, typename Signed, size_t Bits2, typename Signed2>
constexpr bool operator!=(const wide_integer<Bits, Signed> & lhs, const wide_integer<Bits2, Signed2> & rhs);
template <typename Arithmetic, typename Arithmetic2, class = __only_arithmetic<Arithmetic, Arithmetic2>>
constexpr bool operator!=(const Arithmetic & rhs, const Arithmetic2 & lhs);
template <size_t Bits, typename Signed>
std::string to_string(const wide_integer<Bits, Signed> & n);
template <size_t Bits, typename Signed>
struct hash<wide_integer<Bits, Signed>>;
}
#include "wide_integer_impl.h"

1301
base/common/wide_integer_impl.h Normal file
View File

File diff suppressed because it is too large Load Diff

2
src/Columns/ColumnDecimal.h
View File

@ -126,7 +126,7 @@ public:
bool isNumeric() const override { return false; } bool isNumeric() const override { return false; }
bool canBeInsideNullable() const override { return true; } bool canBeInsideNullable() const override { return true; }
bool isFixedAndContiguous() const override { return is_POD; } bool isFixedAndContiguous() const override { return true; }
size_t sizeOfValueIfFixed() const override { return sizeof(T); } size_t sizeOfValueIfFixed() const override { return sizeof(T); }
size_t size() const override { return data.size(); } size_t size() const override { return data.size(); }

17
src/Columns/ColumnVector.h
View File

@ -12,11 +12,6 @@
namespace DB namespace DB
{ {
namespace ErrorCodes
{
extern const int NOT_IMPLEMENTED;
}
/** Stuff for comparing numbers. /** Stuff for comparing numbers.
* Integer values are compared as usual. * Integer values are compared as usual.
* Floating-point numbers are compared this way that NaNs always end up at the end * Floating-point numbers are compared this way that NaNs always end up at the end
@ -298,23 +293,17 @@ public:
void gather(ColumnGathererStream & gatherer_stream) override; void gather(ColumnGathererStream & gatherer_stream) override;
bool canBeInsideNullable() const override { return true; } bool canBeInsideNullable() const override { return true; }
bool isFixedAndContiguous() const override { return is_POD; } bool isFixedAndContiguous() const override { return true; }
size_t sizeOfValueIfFixed() const override { return sizeof(T); } size_t sizeOfValueIfFixed() const override { return sizeof(T); }
StringRef getRawData() const override StringRef getRawData() const override
{ {
if constexpr (is_POD) return StringRef(reinterpret_cast<const char*>(data.data()), byteSize());
return StringRef(reinterpret_cast<const char*>(data.data()), byteSize());
else
throw Exception("getRawData() is not implemented for big integers", ErrorCodes::NOT_IMPLEMENTED);
} }
StringRef getDataAt(size_t n) const override StringRef getDataAt(size_t n) const override
{ {
if constexpr (is_POD) return StringRef(reinterpret_cast<const char *>(&data[n]), sizeof(data[n]));
return StringRef(reinterpret_cast<const char *>(&data[n]), sizeof(data[n]));
else
throw Exception("getDataAt() is not implemented for big integers", ErrorCodes::NOT_IMPLEMENTED);
} }
bool structureEquals(const IColumn & rhs) const override bool structureEquals(const IColumn & rhs) const override

10
src/Common/HashTable/Hash.h
View File

@ -1,6 +1,7 @@
#pragma once #pragma once
#include <Core/Types.h> #include <Core/Types.h>
#include <Core/BigInt.h>
#include <Common/UInt128.h> #include <Common/UInt128.h>
#include <common/unaligned.h> #include <common/unaligned.h>
@ -89,8 +90,7 @@ template <typename T>
inline typename std::enable_if<is_big_int_v<T>, DB::UInt64>::type inline typename std::enable_if<is_big_int_v<T>, DB::UInt64>::type
intHashCRC32(const T & x, DB::UInt64 updated_value) intHashCRC32(const T & x, DB::UInt64 updated_value)
{ {
std::vector<UInt64> parts; std::vector<UInt64> parts = DB::BigInt<T>::toIntArray(x);
export_bits(x, std::back_inserter(parts), sizeof(UInt64), false);
for (const auto & part : parts) for (const auto & part : parts)
updated_value = intHashCRC32(part, updated_value); updated_value = intHashCRC32(part, updated_value);
@ -199,7 +199,7 @@ inline size_t DefaultHash64(std::enable_if_t<(sizeof(T) > sizeof(UInt64)), T> ke
{ {
return intHash64(key.low ^ key.high); return intHash64(key.low ^ key.high);
} }
else if constexpr (std::is_same_v<T, bInt256> || std::is_same_v<T, bUInt256>) else if constexpr (is_big_int_v<T> && sizeof(T) == 32)
{ {
return intHash64(static_cast<UInt64>(key) ^ return intHash64(static_cast<UInt64>(key) ^
static_cast<UInt64>(key >> 64) ^ static_cast<UInt64>(key >> 64) ^
@ -256,7 +256,7 @@ inline size_t hashCRC32(std::enable_if_t<(sizeof(T) > sizeof(UInt64)), T> key)
{ {
return intHashCRC32(key.low ^ key.high); return intHashCRC32(key.low ^ key.high);
} }
else if constexpr (std::is_same_v<T, bInt256> || std::is_same_v<T, bUInt256>) else if constexpr (is_big_int_v<T> && sizeof(T) == 32)
{ {
return intHashCRC32(static_cast<UInt64>(key) ^ return intHashCRC32(static_cast<UInt64>(key) ^
static_cast<UInt64>(key >> 64) ^ static_cast<UInt64>(key >> 64) ^
@ -358,7 +358,7 @@ struct IntHash32
{ {
return intHash32<salt>(key.low ^ key.high); return intHash32<salt>(key.low ^ key.high);
} }
else if constexpr (std::is_same_v<T, bInt256> || std::is_same_v<T, bUInt256>) else if constexpr (is_big_int_v<T> && sizeof(T) == 32)
{ {
return intHash32<salt>(static_cast<UInt64>(key) ^ return intHash32<salt>(static_cast<UInt64>(key) ^
static_cast<UInt64>(key >> 64) ^ static_cast<UInt64>(key >> 64) ^

4
src/Common/SipHash.h
View File

@ -148,7 +148,7 @@ public:
} }
template <typename T> template <typename T>
std::enable_if_t<is_big_int_v<T>, void> update(const T & x) std::enable_if_t<is_big_int_v<T> && !std::has_unique_object_representations_v<T>, void> update(const T & x)
{ {
update(DB::BigInt<T>::serialize(x)); update(DB::BigInt<T>::serialize(x));
} }
@ -213,7 +213,7 @@ std::enable_if_t<std::has_unique_object_representations_v<T>, UInt64> sipHash64(
} }
template <typename T> template <typename T>
std::enable_if_t<(std::is_floating_point_v<T> || is_big_int_v<T>), UInt64> sipHash64(const T & x) std::enable_if_t<(std::is_floating_point_v<T> || (is_big_int_v<T> && !std::has_unique_object_representations_v<T>)), UInt64> sipHash64(const T & x)
{ {
SipHash hash; SipHash hash;
hash.update(x); hash.update(x);

5
src/Common/UInt128.h
View File

@ -67,6 +67,11 @@ struct UInt128
bool inline operator <= (const Int128 rhs) const { return *this <= UInt128(rhs, rhs >> 64) && rhs >= 0; } bool inline operator <= (const Int128 rhs) const { return *this <= UInt128(rhs, rhs >> 64) && rhs >= 0; }
bool inline operator < (const Int128 rhs) const { return *this < UInt128(rhs, rhs >> 64) && rhs >= 0; } bool inline operator < (const Int128 rhs) const { return *this < UInt128(rhs, rhs >> 64) && rhs >= 0; }
bool inline operator > (const Int256 rhs) const { return (rhs < 0) || ((Int256(high) << 64) + low) > rhs; }
bool inline operator > (const UInt256 rhs) const { return ((UInt256(high) << 64) + low) > rhs; }
bool inline operator < (const Int256 rhs) const { return (rhs >= 0) && ((Int256(high) << 64) + low) < rhs; }
bool inline operator < (const UInt256 rhs) const { return ((UInt256(high) << 64) + low) < rhs; }
template <typename T> bool inline operator== (const T rhs) const { return *this == UInt128(rhs); } template <typename T> bool inline operator== (const T rhs) const { return *this == UInt128(rhs); }
template <typename T> bool inline operator!= (const T rhs) const { return *this != UInt128(rhs); } template <typename T> bool inline operator!= (const T rhs) const { return *this != UInt128(rhs); }
template <typename T> bool inline operator>= (const T rhs) const { return *this >= UInt128(rhs); } template <typename T> bool inline operator>= (const T rhs) const { return *this >= UInt128(rhs); }

4
src/Common/intExp.h
View File

@ -138,9 +138,9 @@ constexpr inline Int128 exp10_i128(int x)
} }
inline bInt256 exp10_i256(int x) inline wInt256 exp10_i256(int x)
{ {
using Int256 = bInt256; using Int256 = wInt256;
static constexpr Int256 i10e18{1000000000000000000ll}; static constexpr Int256 i10e18{1000000000000000000ll};
static const Int256 values[] = { static const Int256 values[] = {
static_cast<Int256>(1ll), static_cast<Int256>(1ll),

69
src/Core/BigInt.h
View File

@ -7,46 +7,15 @@ namespace DB
{ {
template <typename T> template <typename T>
struct BigIntPayload struct BigInt
{ {
static_assert(!is_big_int_v<T>); static_assert(sizeof(T) == 32);
static constexpr size_t size = 0;
};
template <> struct BigIntPayload<bUInt256> { static constexpr size_t size = 32; };
template <> struct BigIntPayload<bInt256>
{
using UnsingedType = bUInt256;
static constexpr size_t size = 32; static constexpr size_t size = 32;
};
template <typename T>
struct BigInt : BigIntPayload<T>
{
using BigIntPayload<T>::size;
static constexpr size_t lastBit()
{
return size * 8 - 1;
}
static StringRef serialize(const T & x, char * pos) static StringRef serialize(const T & x, char * pos)
{ {
if constexpr (is_signed_v<T>) //unalignedStore<T>(pos, x);
{ memcpy(pos, &x, size);
using UnsignedT = typename BigIntPayload<T>::UnsingedType;
if (x < 0)
{
UnsignedT unsigned_x = UnsignedT{0} - static_cast<UnsignedT>(-x);
export_bits(unsigned_x, pos, 8, false);
}
else
export_bits(x, pos, 8, false);
}
else
export_bits(x, pos, 8, false);
return StringRef(pos, size); return StringRef(pos, size);
} }
@ -59,24 +28,20 @@ struct BigInt : BigIntPayload<T>
static T deserialize(const char * pos) static T deserialize(const char * pos)
{ {
if constexpr (is_signed_v<T>) //return unalignedLoad<T>(pos);
{ T res;
using UnsignedT = typename BigIntPayload<T>::UnsingedType; memcpy(&res, pos, size);
return res;
}
UnsignedT unsigned_x; static std::vector<UInt64> toIntArray(const T & x)
import_bits(unsigned_x, pos, pos + size, false); {
std::vector<UInt64> parts(4, 0);
bool is_negative = bit_test(unsigned_x, lastBit()); parts[0] = UInt64(x);
if (is_negative) parts[1] = UInt64(x >> 64);
unsigned_x = UnsignedT{0} - unsigned_x; parts[2] = UInt64(x >> 128);
return static_cast<T>(unsigned_x); parts[4] = UInt64(x >> 192);
} return parts;
else
{
T x;
import_bits(x, pos, pos + size, false);
return x;
}
} }
}; };

12
src/Core/DecimalComparison.h
View File

@ -226,25 +226,25 @@ private:
static NO_INLINE UInt8 apply(A a, B b, CompareInt scale [[maybe_unused]]) static NO_INLINE UInt8 apply(A a, B b, CompareInt scale [[maybe_unused]])
{ {
CompareInt x; CompareInt x;
if constexpr (is_big_int_v<CompareInt> && IsDecimalNumber<A>) if constexpr (IsDecimalNumber<A>)
x = a.value; x = a.value;
else else
x = bigint_cast<CompareInt>(a); x = a;
CompareInt y; CompareInt y;
if constexpr (is_big_int_v<CompareInt> && IsDecimalNumber<B>) if constexpr (IsDecimalNumber<B>)
y = b.value; y = b.value;
else else
y = bigint_cast<CompareInt>(b); y = b;
if constexpr (_check_overflow) if constexpr (_check_overflow)
{ {
bool overflow = false; bool overflow = false;
if constexpr (sizeof(A) > sizeof(CompareInt)) if constexpr (sizeof(A) > sizeof(CompareInt))
overflow |= (A(x) != a); overflow |= (bigint_cast<A>(x) != a);
if constexpr (sizeof(B) > sizeof(CompareInt)) if constexpr (sizeof(B) > sizeof(CompareInt))
overflow |= (B(y) != b); overflow |= (bigint_cast<B>(y) != b);
if constexpr (is_unsigned_v<A>) if constexpr (is_unsigned_v<A>)
overflow |= (x < 0); overflow |= (x < 0);
if constexpr (is_unsigned_v<B>) if constexpr (is_unsigned_v<B>)

4
src/Core/Types.h
View File

@ -58,14 +58,14 @@ using UInt8 = ::UInt8;
using UInt16 = ::UInt16; using UInt16 = ::UInt16;
using UInt32 = ::UInt32; using UInt32 = ::UInt32;
using UInt64 = ::UInt64; using UInt64 = ::UInt64;
using UInt256 = ::bUInt256; using UInt256 = ::wUInt256;
using Int8 = ::Int8; using Int8 = ::Int8;
using Int16 = ::Int16; using Int16 = ::Int16;
using Int32 = ::Int32; using Int32 = ::Int32;
using Int64 = ::Int64; using Int64 = ::Int64;
using Int128 = ::Int128; using Int128 = ::Int128;
using Int256 = ::bInt256; using Int256 = ::wInt256;
using Float32 = float; using Float32 = float;
using Float64 = double; using Float64 = double;

30
src/DataTypes/NumberTraits.h
View File

@ -28,21 +28,13 @@ constexpr size_t min(size_t x, size_t y)
return x < y ? x : y; return x < y ? x : y;
} }
/// @note There's no auto scale to larger big integer, only for integral ones.
/// It's cause of (U)Int64 backward compatibilty and very big performance penalties.
constexpr size_t nextSize(size_t size) constexpr size_t nextSize(size_t size)
{ {
return min(size * 2, 8); if (size < 8)
} return size * 2;
return size;
template <bool is_signed>
constexpr size_t nextSize2(size_t size)
{
// old way for built-in integers
if (size <= 8) return nextSize(size);
if constexpr (is_signed)
return size <= 32 ? 32 : 48;
else
return size <= 32 ? 16 : 48;
} }
template <bool is_signed, bool is_floating, size_t size> template <bool is_signed, bool is_floating, size_t size>
@ -55,9 +47,8 @@ template <> struct Construct<false, false, 1> { using Type = UInt8; };
template <> struct Construct<false, false, 2> { using Type = UInt16; }; template <> struct Construct<false, false, 2> { using Type = UInt16; };
template <> struct Construct<false, false, 4> { using Type = UInt32; }; template <> struct Construct<false, false, 4> { using Type = UInt32; };
template <> struct Construct<false, false, 8> { using Type = UInt64; }; template <> struct Construct<false, false, 8> { using Type = UInt64; };
template <> struct Construct<false, false, 16> { using Type = UInt256; }; template <> struct Construct<false, false, 16> { using Type = UInt256; }; /// TODO: we cannot use our UInt128 here
template <> struct Construct<false, false, 32> { using Type = UInt256; }; template <> struct Construct<false, false, 32> { using Type = UInt256; };
template <> struct Construct<false, false, 48> { using Type = UInt256; };
template <> struct Construct<false, true, 1> { using Type = Float32; }; template <> struct Construct<false, true, 1> { using Type = Float32; };
template <> struct Construct<false, true, 2> { using Type = Float32; }; template <> struct Construct<false, true, 2> { using Type = Float32; };
template <> struct Construct<false, true, 4> { using Type = Float32; }; template <> struct Construct<false, true, 4> { using Type = Float32; };
@ -67,8 +58,7 @@ template <> struct Construct<true, false, 2> { using Type = Int16; };
template <> struct Construct<true, false, 4> { using Type = Int32; }; template <> struct Construct<true, false, 4> { using Type = Int32; };
template <> struct Construct<true, false, 8> { using Type = Int64; }; template <> struct Construct<true, false, 8> { using Type = Int64; };
template <> struct Construct<true, false, 16> { using Type = Int128; }; template <> struct Construct<true, false, 16> { using Type = Int128; };
template <> struct Construct<true, false, 32> { using Type = Int128; }; template <> struct Construct<true, false, 32> { using Type = Int256; };
template <> struct Construct<true, false, 48> { using Type = Int256; };
template <> struct Construct<true, true, 1> { using Type = Float32; }; template <> struct Construct<true, true, 1> { using Type = Float32; };
template <> struct Construct<true, true, 2> { using Type = Float32; }; template <> struct Construct<true, true, 2> { using Type = Float32; };
template <> struct Construct<true, true, 4> { using Type = Float32; }; template <> struct Construct<true, true, 4> { using Type = Float32; };
@ -86,7 +76,7 @@ template <typename A, typename B> struct ResultOfAdditionMultiplication
using Type = typename Construct< using Type = typename Construct<
is_signed_v<A> || is_signed_v<B>, is_signed_v<A> || is_signed_v<B>,
std::is_floating_point_v<A> || std::is_floating_point_v<B>, std::is_floating_point_v<A> || std::is_floating_point_v<B>,
nextSize2< is_signed_v<A> || is_signed_v<B> >(max(sizeof(A), sizeof(B)))>::Type; nextSize(max(sizeof(A), sizeof(B)))>::Type;
}; };
template <typename A, typename B> struct ResultOfSubtraction template <typename A, typename B> struct ResultOfSubtraction
@ -94,7 +84,7 @@ template <typename A, typename B> struct ResultOfSubtraction
using Type = typename Construct< using Type = typename Construct<
true, true,
std::is_floating_point_v<A> || std::is_floating_point_v<B>, std::is_floating_point_v<A> || std::is_floating_point_v<B>,
nextSize2< is_signed_v<A> || is_signed_v<B> >(max(sizeof(A), sizeof(B)))>::Type; nextSize(max(sizeof(A), sizeof(B)))>::Type;
}; };
/** When dividing, you always get a floating-point number. /** When dividing, you always get a floating-point number.
@ -127,7 +117,7 @@ template <typename A> struct ResultOfNegate
using Type = typename Construct< using Type = typename Construct<
true, true,
std::is_floating_point_v<A>, std::is_floating_point_v<A>,
is_signed_v<A> ? sizeof(A) : nextSize2<true>(sizeof(A))>::Type; is_signed_v<A> ? sizeof(A) : nextSize(sizeof(A))>::Type;
}; };
template <typename A> struct ResultOfAbs template <typename A> struct ResultOfAbs

10
src/Functions/DivisionUtils.h
View File

@ -81,8 +81,10 @@ struct DivideIntegralImpl
/// NOTE: overflow is still possible when dividing large signed number to large unsigned number or vice-versa. But it's less harmful. /// NOTE: overflow is still possible when dividing large signed number to large unsigned number or vice-versa. But it's less harmful.
if constexpr (is_integer_v<A> && is_integer_v<B> && (is_signed_v<A> || is_signed_v<B>)) if constexpr (is_integer_v<A> && is_integer_v<B> && (is_signed_v<A> || is_signed_v<B>))
{ {
return checkedDivision(make_signed_t<CastA>(a), using SignedCastA = make_signed_t<CastA>;
sizeof(A) > sizeof(B) ? make_signed_t<A>(CastB(b)) : make_signed_t<CastB>(b)); using SignedCastB = std::conditional_t<sizeof(A) <= sizeof(B), make_signed_t<CastB>, SignedCastA>;
return bigint_cast<Result>(checkedDivision(bigint_cast<SignedCastA>(a), bigint_cast<SignedCastB>(b)));
} }
else else
return bigint_cast<Result>(checkedDivision(CastA(a), CastB(b))); return bigint_cast<Result>(checkedDivision(CastA(a), CastB(b)));
@ -108,7 +110,7 @@ struct ModuloImpl
if constexpr (std::is_floating_point_v<ResultType>) if constexpr (std::is_floating_point_v<ResultType>)
{ {
/// This computation is similar to `fmod` but the latter is not inlined and has 40 times worse performance. /// This computation is similar to `fmod` but the latter is not inlined and has 40 times worse performance.
return ResultType(a) - trunc(ResultType(a) / ResultType(b)) * ResultType(b); return bigint_cast<ResultType>(a) - trunc(bigint_cast<ResultType>(a) / bigint_cast<ResultType>(b)) * bigint_cast<ResultType>(b);
} }
else else
{ {
@ -125,7 +127,7 @@ struct ModuloImpl
if constexpr (is_big_int_v<IntegerBType> && sizeof(IntegerAType) <= sizeof(IntegerBType)) if constexpr (is_big_int_v<IntegerBType> && sizeof(IntegerAType) <= sizeof(IntegerBType))
return bigint_cast<Result>(bigint_cast<CastB>(int_a) % int_b); return bigint_cast<Result>(bigint_cast<CastB>(int_a) % int_b);
else else
return bigint_cast<Result>(int_a % int_b); return bigint_cast<Result>(int_a % bigint_cast<CastA>(int_b));
} }
else else
return IntegerAType(a) % IntegerBType(b); return IntegerAType(a) % IntegerBType(b);

18
src/Functions/FunctionBinaryArithmetic.h
View File

@ -361,12 +361,8 @@ private:
return apply(a.value, b); return apply(a.value, b);
else if constexpr (IsDecimalNumber<U>) else if constexpr (IsDecimalNumber<U>)
return apply(a, b.value); return apply(a, b.value);
else if constexpr (std::is_same_v<T, UInt8>)
return apply(UInt16(a), b);
else if constexpr (std::is_same_v<U, UInt8>)
return apply(a, UInt16(b));
else else
return applyNative(static_cast<NativeResultType>(a), static_cast<NativeResultType>(b)); return applyNative(bigint_cast<NativeResultType>(a), bigint_cast<NativeResultType>(b));
} }
else else
return applyNative(a, b); return applyNative(a, b);
@ -381,12 +377,8 @@ private:
return applyScaled<scale_left>(a.value, b, scale); return applyScaled<scale_left>(a.value, b, scale);
else if constexpr (IsDecimalNumber<U>) else if constexpr (IsDecimalNumber<U>)
return applyScaled<scale_left>(a, b.value, scale); return applyScaled<scale_left>(a, b.value, scale);
else if constexpr (std::is_same_v<T, UInt8>)
return applyScaled<scale_left>(UInt16(a), b, scale);
else if constexpr (std::is_same_v<U, UInt8>)
return applyScaled<scale_left>(a, UInt16(b), scale);
else else
return applyNativeScaled<scale_left>(static_cast<NativeResultType>(a), static_cast<NativeResultType>(b), scale); return applyNativeScaled<scale_left>(bigint_cast<NativeResultType>(a), bigint_cast<NativeResultType>(b), scale);
} }
else else
return applyNativeScaled<scale_left>(a, b, scale); return applyNativeScaled<scale_left>(a, b, scale);
@ -401,12 +393,8 @@ private:
return applyScaledDiv(a.value, b, scale); return applyScaledDiv(a.value, b, scale);
else if constexpr (IsDecimalNumber<U>) else if constexpr (IsDecimalNumber<U>)
return applyScaledDiv(a, b.value, scale); return applyScaledDiv(a, b.value, scale);
else if constexpr (std::is_same_v<T, UInt8>)
return applyScaledDiv(UInt16(a), b, scale);
else if constexpr (std::is_same_v<U, UInt8>)
return applyScaledDiv(a, UInt16(b), scale);
else else
return applyNativeScaledDiv(static_cast<NativeResultType>(a), static_cast<NativeResultType>(b), scale); return applyNativeScaledDiv(bigint_cast<NativeResultType>(a), bigint_cast<NativeResultType>(b), scale);
} }
else else
return applyNativeScaledDiv(a, b, scale); return applyNativeScaledDiv(a, b, scale);

4
src/Functions/GatherUtils/Algorithms.h
View File

@ -558,7 +558,7 @@ bool sliceEqualElements(const NumericArraySlice<T> & first [[maybe_unused]],
{ {
/// TODO: Decimal scale /// TODO: Decimal scale
if constexpr (IsDecimalNumber<T> && IsDecimalNumber<U>) if constexpr (IsDecimalNumber<T> && IsDecimalNumber<U>)
return accurate::equalsOp(typename T::NativeType(first.data[first_ind]), typename U::NativeType(second.data[second_ind])); return accurate::equalsOp(first.data[first_ind].value, second.data[second_ind].value);
else if constexpr (IsDecimalNumber<T> || IsDecimalNumber<U>) else if constexpr (IsDecimalNumber<T> || IsDecimalNumber<U>)
return false; return false;
else else
@ -588,7 +588,7 @@ bool insliceEqualElements(const NumericArraySlice<T> & first [[maybe_unused]],
size_t second_ind [[maybe_unused]]) size_t second_ind [[maybe_unused]])
{ {
if constexpr (IsDecimalNumber<T>) if constexpr (IsDecimalNumber<T>)
return accurate::equalsOp(typename T::NativeType(first.data[first_ind]), typename T::NativeType(first.data[second_ind])); return accurate::equalsOp(first.data[first_ind].value, first.data[second_ind].value);
else else
return accurate::equalsOp(first.data[first_ind], first.data[second_ind]); return accurate::equalsOp(first.data[first_ind], first.data[second_ind]);
} }

7
src/Functions/abs.cpp
View File

@ -16,11 +16,10 @@ struct AbsImpl
{ {
if constexpr (IsDecimalNumber<A>) if constexpr (IsDecimalNumber<A>)
return a < A(0) ? A(-a) : a; return a < A(0) ? A(-a) : a;
else if constexpr (is_big_int_v<A>) else if constexpr (is_big_int_v<A> && is_signed_v<A>)
// from boost/multiprecision/number.hpp return (a < 0) ? -a : a;
return static_cast<ResultType>(abs(a));
else if constexpr (is_integer_v<A> && is_signed_v<A>) else if constexpr (is_integer_v<A> && is_signed_v<A>)
return a < 0 ? static_cast<ResultType>(~a) + 1 : a; return a < 0 ? static_cast<ResultType>(~a) + 1 : static_cast<ResultType>(a);
else if constexpr (is_integer_v<A> && is_unsigned_v<A>) else if constexpr (is_integer_v<A> && is_unsigned_v<A>)
return static_cast<ResultType>(a); return static_cast<ResultType>(a);
else if constexpr (std::is_floating_point_v<A>) else if constexpr (std::is_floating_point_v<A>)

2
src/Functions/bitRotateLeft.cpp
View File

@ -18,7 +18,7 @@ struct BitRotateLeftImpl
template <typename Result = ResultType> template <typename Result = ResultType>
static inline NO_SANITIZE_UNDEFINED Result apply(A a [[maybe_unused]], B b [[maybe_unused]]) static inline NO_SANITIZE_UNDEFINED Result apply(A a [[maybe_unused]], B b [[maybe_unused]])
{ {
if constexpr (is_big_int_v<ResultType>) if constexpr (is_big_int_v<A> || is_big_int_v<B>)
throw Exception("Bit rotate is not implemented for big integers", ErrorCodes::NOT_IMPLEMENTED); throw Exception("Bit rotate is not implemented for big integers", ErrorCodes::NOT_IMPLEMENTED);
else else
return (static_cast<Result>(a) << static_cast<Result>(b)) return (static_cast<Result>(a) << static_cast<Result>(b))

2
src/Functions/bitRotateRight.cpp
View File

@ -18,7 +18,7 @@ struct BitRotateRightImpl
template <typename Result = ResultType> template <typename Result = ResultType>
static inline NO_SANITIZE_UNDEFINED Result apply(A a [[maybe_unused]], B b [[maybe_unused]]) static inline NO_SANITIZE_UNDEFINED Result apply(A a [[maybe_unused]], B b [[maybe_unused]])
{ {
if constexpr (is_big_int_v<ResultType>) if constexpr (is_big_int_v<A> || is_big_int_v<B>)
throw Exception("Bit rotate is not implemented for big integers", ErrorCodes::NOT_IMPLEMENTED); throw Exception("Bit rotate is not implemented for big integers", ErrorCodes::NOT_IMPLEMENTED);
else else
return (static_cast<Result>(a) >> static_cast<Result>(b)) return (static_cast<Result>(a) >> static_cast<Result>(b))

4
src/Functions/bitShiftLeft.cpp
View File

@ -19,9 +19,9 @@ struct BitShiftLeftImpl
static inline NO_SANITIZE_UNDEFINED Result apply(A a [[maybe_unused]], B b [[maybe_unused]]) static inline NO_SANITIZE_UNDEFINED Result apply(A a [[maybe_unused]], B b [[maybe_unused]])
{ {
if constexpr (is_big_int_v<B>) if constexpr (is_big_int_v<B>)
throw Exception("BitShiftLeftImpl is not implemented for big integers as second argument", ErrorCodes::NOT_IMPLEMENTED); throw Exception("BitShiftLeft is not implemented for big integers as second argument", ErrorCodes::NOT_IMPLEMENTED);
else if constexpr (is_big_int_v<A>) else if constexpr (is_big_int_v<A>)
return static_cast<Result>(a) << bigint_cast<UInt32>(b); return bigint_cast<Result>(a) << bigint_cast<UInt32>(b);
else else
return static_cast<Result>(a) << static_cast<Result>(b); return static_cast<Result>(a) << static_cast<Result>(b);
} }

4
src/Functions/bitShiftRight.cpp
View File

@ -19,9 +19,9 @@ struct BitShiftRightImpl
static inline NO_SANITIZE_UNDEFINED Result apply(A a [[maybe_unused]], B b [[maybe_unused]]) static inline NO_SANITIZE_UNDEFINED Result apply(A a [[maybe_unused]], B b [[maybe_unused]])
{ {
if constexpr (is_big_int_v<B>) if constexpr (is_big_int_v<B>)
throw Exception("BitRotate is not implemented for big integers as second argument", ErrorCodes::NOT_IMPLEMENTED); throw Exception("BitShiftRight is not implemented for big integers as second argument", ErrorCodes::NOT_IMPLEMENTED);
else if constexpr (is_big_int_v<A>) else if constexpr (is_big_int_v<A>)
return static_cast<Result>(a) >> bigint_cast<UInt32>(b); return bigint_cast<Result>(a) >> bigint_cast<UInt32>(b);
else else
return static_cast<Result>(a) >> static_cast<Result>(b); return static_cast<Result>(a) >> static_cast<Result>(b);
} }

4
src/Functions/bitTest.cpp
View File

@ -19,10 +19,8 @@ struct BitTestImpl
template <typename Result = ResultType> template <typename Result = ResultType>
NO_SANITIZE_UNDEFINED static inline Result apply(A a [[maybe_unused]], B b [[maybe_unused]]) NO_SANITIZE_UNDEFINED static inline Result apply(A a [[maybe_unused]], B b [[maybe_unused]])
{ {
if constexpr (is_big_int_v<B>) if constexpr (is_big_int_v<A> || is_big_int_v<B>)
throw Exception("bitTest is not implemented for big integers as second argument", ErrorCodes::NOT_IMPLEMENTED); throw Exception("bitTest is not implemented for big integers as second argument", ErrorCodes::NOT_IMPLEMENTED);
else if constexpr (is_big_int_v<A>)
return bit_test(a, static_cast<UInt32>(b));
else else
return (typename NumberTraits::ToInteger<A>::Type(a) >> typename NumberTraits::ToInteger<B>::Type(b)) & 1; return (typename NumberTraits::ToInteger<A>::Type(a) >> typename NumberTraits::ToInteger<B>::Type(b)) & 1;
} }

2
src/Functions/gcd.cpp
View File

@ -20,7 +20,7 @@ struct GCDImpl
template <typename Result = ResultType> template <typename Result = ResultType>
static inline Result apply([[maybe_unused]] A a, [[maybe_unused]] B b) static inline Result apply([[maybe_unused]] A a, [[maybe_unused]] B b)
{ {
if constexpr (is_big_int_v<A> || is_big_int_v<B>) if constexpr (is_big_int_v<A> || is_big_int_v<B> || is_big_int_v<Result>)
throw Exception("GCD is not implemented for big integers", ErrorCodes::NOT_IMPLEMENTED); throw Exception("GCD is not implemented for big integers", ErrorCodes::NOT_IMPLEMENTED);
else else
{ {

4
src/Functions/lcm.cpp
View File

@ -40,14 +40,14 @@ struct LCMImpl
static const constexpr bool allow_fixed_string = false; static const constexpr bool allow_fixed_string = false;
template <typename Result = ResultType> template <typename Result = ResultType>
static inline std::enable_if_t<is_big_int_v<A> || is_big_int_v<B>, Result> static inline std::enable_if_t<is_big_int_v<A> || is_big_int_v<B> || is_big_int_v<Result>, Result>
apply([[maybe_unused]] A a, [[maybe_unused]] B b) apply([[maybe_unused]] A a, [[maybe_unused]] B b)
{ {
throw Exception("LCM is not implemented for big integers", ErrorCodes::NOT_IMPLEMENTED); throw Exception("LCM is not implemented for big integers", ErrorCodes::NOT_IMPLEMENTED);
} }
template <typename Result = ResultType> template <typename Result = ResultType>
static inline std::enable_if_t<!is_big_int_v<A> && !is_big_int_v<B>, Result> static inline std::enable_if_t<!is_big_int_v<A> && !is_big_int_v<B> && !is_big_int_v<Result>, Result>
apply([[maybe_unused]] A a, [[maybe_unused]] B b) apply([[maybe_unused]] A a, [[maybe_unused]] B b)
{ {
throwIfDivisionLeadsToFPE(typename NumberTraits::ToInteger<A>::Type(a), typename NumberTraits::ToInteger<B>::Type(b)); throwIfDivisionLeadsToFPE(typename NumberTraits::ToInteger<A>::Type(a), typename NumberTraits::ToInteger<B>::Type(b));

10
src/Functions/roundToExp2.cpp
View File

@ -6,6 +6,11 @@
namespace DB namespace DB
{ {
namespace ErrorCodes
{
extern const int NOT_IMPLEMENTED;
}
template <typename T> template <typename T>
inline std::enable_if_t<std::is_integral_v<T> && (sizeof(T) <= sizeof(UInt32)), T> inline std::enable_if_t<std::is_integral_v<T> && (sizeof(T) <= sizeof(UInt32)), T>
roundDownToPowerOfTwo(T x) roundDownToPowerOfTwo(T x)
@ -48,10 +53,9 @@ roundDownToPowerOfTwo(T x)
template <typename T> template <typename T>
inline std::enable_if_t<is_big_int_v<T>, T> inline std::enable_if_t<is_big_int_v<T>, T>
roundDownToPowerOfTwo(T x) roundDownToPowerOfTwo(T)
{ {
// extention from boost/multiprecision/number.hpp throw Exception("roundToExp2() for big integers is not implemented", ErrorCodes::NOT_IMPLEMENTED);
return T(1) << msb(x);
} }
/** For integer data types: /** For integer data types:

1
src/IO/WriteHelpers.h
View File

@ -831,6 +831,7 @@ template <> inline void writeText<bool>(const bool & x, WriteBuffer & buf) { wri
inline void writeText(const char * x, WriteBuffer & buf) { writeEscapedString(x, strlen(x), buf); } inline void writeText(const char * x, WriteBuffer & buf) { writeEscapedString(x, strlen(x), buf); }
inline void writeText(const char * x, size_t size, WriteBuffer & buf) { writeEscapedString(x, size, buf); } inline void writeText(const char * x, size_t size, WriteBuffer & buf) { writeEscapedString(x, size, buf); }
inline void writeText(const DayNum & x, WriteBuffer & buf) { writeDateText(LocalDate(x), buf); }
inline void writeText(const LocalDate & x, WriteBuffer & buf) { writeDateText(x, buf); } inline void writeText(const LocalDate & x, WriteBuffer & buf) { writeDateText(x, buf); }
inline void writeText(const LocalDateTime & x, WriteBuffer & buf) { writeDateTimeText(x, buf); } inline void writeText(const LocalDateTime & x, WriteBuffer & buf) { writeDateTimeText(x, buf); }
inline void writeText(const UUID & x, WriteBuffer & buf) { writeUUIDText(x, buf); } inline void writeText(const UUID & x, WriteBuffer & buf) { writeUUIDText(x, buf); }

4
src/IO/readDecimalText.h
View File

@ -160,7 +160,7 @@ inline void readDecimalText(ReadBuffer & buf, T & x, uint32_t precision, uint32_
" Expected to read decimal with scale {} and precision {}"; " Expected to read decimal with scale {} and precision {}";
if constexpr (is_big_int_v<typename T::NativeType>) if constexpr (is_big_int_v<typename T::NativeType>)
throw Exception(fmt::format(pattern, digits, x.value.str(), exponent, scale, precision), ErrorCodes::ARGUMENT_OUT_OF_BOUND); throw Exception(fmt::format(pattern, digits, bigintToString(x.value), exponent, scale, precision), ErrorCodes::ARGUMENT_OUT_OF_BOUND);
else else
throw Exception(fmt::format(pattern, digits, x, exponent, scale, precision), ErrorCodes::ARGUMENT_OUT_OF_BOUND); throw Exception(fmt::format(pattern, digits, x, exponent, scale, precision), ErrorCodes::ARGUMENT_OUT_OF_BOUND);
} }
@ -180,7 +180,7 @@ inline void readDecimalText(ReadBuffer & buf, T & x, uint32_t precision, uint32_
{ {
/// Too many digits after point. Just cut off excessive digits. /// Too many digits after point. Just cut off excessive digits.
auto divisor = intExp10OfSize<typename T::NativeType>(divisor_exp); auto divisor = intExp10OfSize<typename T::NativeType>(divisor_exp);
assert(divisor > T(0)); /// This is for Clang Static Analyzer. It is not smart enough to infer it automatically. assert(divisor > 0); /// This is for Clang Static Analyzer. It is not smart enough to infer it automatically.
x.value /= divisor; x.value /= divisor;
scale = 0; scale = 0;
return; return;

4
src/Interpreters/Aggregator.cpp
View File

@ -362,7 +362,9 @@ AggregatedDataVariants::Type Aggregator::chooseAggregationMethod()
return AggregatedDataVariants::Type::key64; return AggregatedDataVariants::Type::key64;
if (size_of_field == 16) if (size_of_field == 16)
return AggregatedDataVariants::Type::keys128; return AggregatedDataVariants::Type::keys128;
throw Exception("Logical error: numeric column has sizeOfField not in 1, 2, 4, 8, 16.", ErrorCodes::LOGICAL_ERROR); if (size_of_field == 32)
return AggregatedDataVariants::Type::keys256;
throw Exception("Logical error: numeric column has sizeOfField not in 1, 2, 4, 8, 16, 32.", ErrorCodes::LOGICAL_ERROR);
} }
/// If all keys fits in N bits, will use hash table with all keys packed (placed contiguously) to single N-bit key. /// If all keys fits in N bits, will use hash table with all keys packed (placed contiguously) to single N-bit key.

4
src/Interpreters/HashJoin.cpp
View File

@ -221,7 +221,9 @@ HashJoin::Type HashJoin::chooseMethod(const ColumnRawPtrs & key_columns, Sizes &
return Type::key64; return Type::key64;
if (size_of_field == 16) if (size_of_field == 16)
return Type::keys128; return Type::keys128;
throw Exception("Logical error: numeric column has sizeOfField not in 1, 2, 4, 8, 16.", ErrorCodes::LOGICAL_ERROR); if (size_of_field == 32)
return Type::keys256;
throw Exception("Logical error: numeric column has sizeOfField not in 1, 2, 4, 8, 16, 32.", ErrorCodes::LOGICAL_ERROR);
} }
/// If the keys fit in N bits, we will use a hash table for N-bit-packed keys /// If the keys fit in N bits, we will use a hash table for N-bit-packed keys

9
src/Interpreters/SetVariants.cpp
View File

@ -110,9 +110,8 @@ typename SetVariantsTemplate<Variant>::Type SetVariantsTemplate<Variant>::choose
size_t size_of_field = nested_key_columns[0]->sizeOfValueIfFixed(); size_t size_of_field = nested_key_columns[0]->sizeOfValueIfFixed();
if ((size_of_field == 1) || (size_of_field == 2) || (size_of_field == 4) || (size_of_field == 8)) if ((size_of_field == 1) || (size_of_field == 2) || (size_of_field == 4) || (size_of_field == 8))
return Type::nullable_keys128; return Type::nullable_keys128;
else
throw Exception{"Logical error: numeric column has sizeOfField not in 1, 2, 4, 8.", /// Pass to more generic method
ErrorCodes::LOGICAL_ERROR};
} }
if (all_fixed) if (all_fixed)
@ -145,7 +144,9 @@ typename SetVariantsTemplate<Variant>::Type SetVariantsTemplate<Variant>::choose
return Type::key64; return Type::key64;
if (size_of_field == 16) if (size_of_field == 16)
return Type::keys128; return Type::keys128;
throw Exception("Logical error: numeric column has sizeOfField not in 1, 2, 4, 8, 16.", ErrorCodes::LOGICAL_ERROR); if (size_of_field == 32)
return Type::keys256;
throw Exception("Logical error: numeric column has sizeOfField not in 1, 2, 4, 8, 16, 32.", ErrorCodes::LOGICAL_ERROR);
} }
/// If the keys fit in N bits, we will use a hash table for N-bit-packed keys /// If the keys fit in N bits, we will use a hash table for N-bit-packed keys

638
tests/queries/0_stateless/01440_big_int_shift.reference Normal file
View File

@ -0,0 +1,638 @@
1 1 Int128 Int128
2 1 Int128 Int128
4 1 Int128 Int128
8 1 Int128 Int128
16 1 Int128 Int128
32 1 Int128 Int128
64 1 Int128 Int128
128 1 Int128 Int128
256 1 Int128 Int128
512 1 Int128 Int128
1024 1 Int128 Int128
2048 1 Int128 Int128
4096 1 Int128 Int128
8192 1 Int128 Int128
16384 1 Int128 Int128
32768 1 Int128 Int128
65536 1 Int128 Int128
131072 1 Int128 Int128
262144 1 Int128 Int128
524288 1 Int128 Int128
1048576 1 Int128 Int128
2097152 1 Int128 Int128
4194304 1 Int128 Int128
8388608 1 Int128 Int128
16777216 1 Int128 Int128
33554432 1 Int128 Int128
67108864 1 Int128 Int128
134217728 1 Int128 Int128
268435456 1 Int128 Int128
536870912 1 Int128 Int128
1073741824 1 Int128 Int128
2147483648 1 Int128 Int128
4294967296 1 Int128 Int128
8589934592 1 Int128 Int128
17179869184 1 Int128 Int128
34359738368 1 Int128 Int128
68719476736 1 Int128 Int128
137438953472 1 Int128 Int128
274877906944 1 Int128 Int128
549755813888 1 Int128 Int128
1099511627776 1 Int128 Int128
2199023255552 1 Int128 Int128
4398046511104 1 Int128 Int128
8796093022208 1 Int128 Int128
17592186044416 1 Int128 Int128
35184372088832 1 Int128 Int128
70368744177664 1 Int128 Int128
140737488355328 1 Int128 Int128
281474976710656 1 Int128 Int128
562949953421312 1 Int128 Int128
1125899906842624 1 Int128 Int128
2251799813685248 1 Int128 Int128
4503599627370496 1 Int128 Int128
9007199254740992 1 Int128 Int128
18014398509481984 1 Int128 Int128
36028797018963968 1 Int128 Int128
72057594037927936 1 Int128 Int128
144115188075855872 1 Int128 Int128
288230376151711744 1 Int128 Int128
576460752303423488 1 Int128 Int128
1152921504606846976 1 Int128 Int128
2305843009213693952 1 Int128 Int128
4611686018427387904 1 Int128 Int128
9223372036854775808 1 Int128 Int128
18446744073709551616 1 Int128 Int128
36893488147419103232 1 Int128 Int128
73786976294838206464 1 Int128 Int128
147573952589676412928 1 Int128 Int128
295147905179352825856 1 Int128 Int128
590295810358705651712 1 Int128 Int128
1180591620717411303424 1 Int128 Int128
2361183241434822606848 1 Int128 Int128
4722366482869645213696 1 Int128 Int128
9444732965739290427392 1 Int128 Int128
18889465931478580854784 1 Int128 Int128
37778931862957161709568 1 Int128 Int128
75557863725914323419136 1 Int128 Int128
151115727451828646838272 1 Int128 Int128
302231454903657293676544 1 Int128 Int128
604462909807314587353088 1 Int128 Int128
1208925819614629174706176 1 Int128 Int128
2417851639229258349412352 1 Int128 Int128
4835703278458516698824704 1 Int128 Int128
9671406556917033397649408 1 Int128 Int128
19342813113834066795298816 1 Int128 Int128
38685626227668133590597632 1 Int128 Int128
77371252455336267181195264 1 Int128 Int128
154742504910672534362390528 1 Int128 Int128
309485009821345068724781056 1 Int128 Int128
618970019642690137449562112 1 Int128 Int128
1237940039285380274899124224 1 Int128 Int128
2475880078570760549798248448 1 Int128 Int128
4951760157141521099596496896 1 Int128 Int128
9903520314283042199192993792 1 Int128 Int128
19807040628566084398385987584 1 Int128 Int128
39614081257132168796771975168 1 Int128 Int128
79228162514264337593543950336 1 Int128 Int128
158456325028528675187087900672 1 Int128 Int128
316912650057057350374175801344 1 Int128 Int128
633825300114114700748351602688 1 Int128 Int128
1267650600228229401496703205376 1 Int128 Int128
2535301200456458802993406410752 1 Int128 Int128
5070602400912917605986812821504 1 Int128 Int128
10141204801825835211973625643008 1 Int128 Int128
20282409603651670423947251286016 1 Int128 Int128
40564819207303340847894502572032 1 Int128 Int128
81129638414606681695789005144064 1 Int128 Int128
162259276829213363391578010288128 1 Int128 Int128
324518553658426726783156020576256 1 Int128 Int128
649037107316853453566312041152512 1 Int128 Int128
1298074214633706907132624082305024 1 Int128 Int128
2596148429267413814265248164610048 1 Int128 Int128
5192296858534827628530496329220096 1 Int128 Int128
10384593717069655257060992658440192 1 Int128 Int128
20769187434139310514121985316880384 1 Int128 Int128
41538374868278621028243970633760768 1 Int128 Int128
83076749736557242056487941267521536 1 Int128 Int128
166153499473114484112975882535043072 1 Int128 Int128
332306998946228968225951765070086144 1 Int128 Int128
664613997892457936451903530140172288 1 Int128 Int128
1329227995784915872903807060280344576 1 Int128 Int128
2658455991569831745807614120560689152 1 Int128 Int128
5316911983139663491615228241121378304 1 Int128 Int128
10633823966279326983230456482242756608 1 Int128 Int128
21267647932558653966460912964485513216 1 Int128 Int128
42535295865117307932921825928971026432 1 Int128 Int128
85070591730234615865843651857942052864 1 Int128 Int128
1 1 Int256 Int256
2 1 Int256 Int256
4 1 Int256 Int256
8 1 Int256 Int256
16 1 Int256 Int256
32 1 Int256 Int256
64 1 Int256 Int256
128 1 Int256 Int256
256 1 Int256 Int256
512 1 Int256 Int256
1024 1 Int256 Int256
2048 1 Int256 Int256
4096 1 Int256 Int256
8192 1 Int256 Int256
16384 1 Int256 Int256
32768 1 Int256 Int256
65536 1 Int256 Int256
131072 1 Int256 Int256
262144 1 Int256 Int256
524288 1 Int256 Int256
1048576 1 Int256 Int256
2097152 1 Int256 Int256
4194304 1 Int256 Int256
8388608 1 Int256 Int256
16777216 1 Int256 Int256
33554432 1 Int256 Int256
67108864 1 Int256 Int256
134217728 1 Int256 Int256
268435456 1 Int256 Int256
536870912 1 Int256 Int256
1073741824 1 Int256 Int256
2147483648 1 Int256 Int256
4294967296 1 Int256 Int256
8589934592 1 Int256 Int256
17179869184 1 Int256 Int256
34359738368 1 Int256 Int256
68719476736 1 Int256 Int256
137438953472 1 Int256 Int256
274877906944 1 Int256 Int256
549755813888 1 Int256 Int256
1099511627776 1 Int256 Int256
2199023255552 1 Int256 Int256
4398046511104 1 Int256 Int256
8796093022208 1 Int256 Int256
17592186044416 1 Int256 Int256
35184372088832 1 Int256 Int256
70368744177664 1 Int256 Int256
140737488355328 1 Int256 Int256
281474976710656 1 Int256 Int256
562949953421312 1 Int256 Int256
1125899906842624 1 Int256 Int256
2251799813685248 1 Int256 Int256
4503599627370496 1 Int256 Int256
9007199254740992 1 Int256 Int256
18014398509481984 1 Int256 Int256
36028797018963968 1 Int256 Int256
72057594037927936 1 Int256 Int256
144115188075855872 1 Int256 Int256
288230376151711744 1 Int256 Int256
576460752303423488 1 Int256 Int256
1152921504606846976 1 Int256 Int256
2305843009213693952 1 Int256 Int256
4611686018427387904 1 Int256 Int256
9223372036854775808 1 Int256 Int256
18446744073709551616 1 Int256 Int256
36893488147419103232 1 Int256 Int256
73786976294838206464 1 Int256 Int256
147573952589676412928 1 Int256 Int256
295147905179352825856 1 Int256 Int256
590295810358705651712 1 Int256 Int256
1180591620717411303424 1 Int256 Int256
2361183241434822606848 1 Int256 Int256
4722366482869645213696 1 Int256 Int256
9444732965739290427392 1 Int256 Int256
18889465931478580854784 1 Int256 Int256
37778931862957161709568 1 Int256 Int256
75557863725914323419136 1 Int256 Int256
151115727451828646838272 1 Int256 Int256
302231454903657293676544 1 Int256 Int256
604462909807314587353088 1 Int256 Int256
1208925819614629174706176 1 Int256 Int256
2417851639229258349412352 1 Int256 Int256
4835703278458516698824704 1 Int256 Int256
9671406556917033397649408 1 Int256 Int256
19342813113834066795298816 1 Int256 Int256
38685626227668133590597632 1 Int256 Int256
77371252455336267181195264 1 Int256 Int256
154742504910672534362390528 1 Int256 Int256
309485009821345068724781056 1 Int256 Int256
618970019642690137449562112 1 Int256 Int256
1237940039285380274899124224 1 Int256 Int256
2475880078570760549798248448 1 Int256 Int256
4951760157141521099596496896 1 Int256 Int256
9903520314283042199192993792 1 Int256 Int256
19807040628566084398385987584 1 Int256 Int256
39614081257132168796771975168 1 Int256 Int256
79228162514264337593543950336 1 Int256 Int256
158456325028528675187087900672 1 Int256 Int256
316912650057057350374175801344 1 Int256 Int256
633825300114114700748351602688 1 Int256 Int256
1267650600228229401496703205376 1 Int256 Int256
2535301200456458802993406410752 1 Int256 Int256
5070602400912917605986812821504 1 Int256 Int256
10141204801825835211973625643008 1 Int256 Int256
20282409603651670423947251286016 1 Int256 Int256
40564819207303340847894502572032 1 Int256 Int256
81129638414606681695789005144064 1 Int256 Int256
162259276829213363391578010288128 1 Int256 Int256
324518553658426726783156020576256 1 Int256 Int256
649037107316853453566312041152512 1 Int256 Int256
1298074214633706907132624082305024 1 Int256 Int256
2596148429267413814265248164610048 1 Int256 Int256
5192296858534827628530496329220096 1 Int256 Int256
10384593717069655257060992658440192 1 Int256 Int256
20769187434139310514121985316880384 1 Int256 Int256
41538374868278621028243970633760768 1 Int256 Int256
83076749736557242056487941267521536 1 Int256 Int256
166153499473114484112975882535043072 1 Int256 Int256
332306998946228968225951765070086144 1 Int256 Int256
664613997892457936451903530140172288 1 Int256 Int256
1329227995784915872903807060280344576 1 Int256 Int256
2658455991569831745807614120560689152 1 Int256 Int256
5316911983139663491615228241121378304 1 Int256 Int256
10633823966279326983230456482242756608 1 Int256 Int256
21267647932558653966460912964485513216 1 Int256 Int256
42535295865117307932921825928971026432 1 Int256 Int256
85070591730234615865843651857942052864 1 Int256 Int256
170141183460469231731687303715884105728 1 Int256 Int256
340282366920938463463374607431768211456 1 Int256 Int256
680564733841876926926749214863536422912 1 Int256 Int256
1361129467683753853853498429727072845824 1 Int256 Int256
2722258935367507707706996859454145691648 1 Int256 Int256
5444517870735015415413993718908291383296 1 Int256 Int256
10889035741470030830827987437816582766592 1 Int256 Int256
21778071482940061661655974875633165533184 1 Int256 Int256
43556142965880123323311949751266331066368 1 Int256 Int256
87112285931760246646623899502532662132736 1 Int256 Int256
174224571863520493293247799005065324265472 1 Int256 Int256
348449143727040986586495598010130648530944 1 Int256 Int256
696898287454081973172991196020261297061888 1 Int256 Int256
1393796574908163946345982392040522594123776 1 Int256 Int256
2787593149816327892691964784081045188247552 1 Int256 Int256
5575186299632655785383929568162090376495104 1 Int256 Int256
11150372599265311570767859136324180752990208 1 Int256 Int256
22300745198530623141535718272648361505980416 1 Int256 Int256
44601490397061246283071436545296723011960832 1 Int256 Int256
89202980794122492566142873090593446023921664 1 Int256 Int256
178405961588244985132285746181186892047843328 1 Int256 Int256
356811923176489970264571492362373784095686656 1 Int256 Int256
713623846352979940529142984724747568191373312 1 Int256 Int256
1427247692705959881058285969449495136382746624 1 Int256 Int256
2854495385411919762116571938898990272765493248 1 Int256 Int256
5708990770823839524233143877797980545530986496 1 Int256 Int256
11417981541647679048466287755595961091061972992 1 Int256 Int256
22835963083295358096932575511191922182123945984 1 Int256 Int256
45671926166590716193865151022383844364247891968 1 Int256 Int256
91343852333181432387730302044767688728495783936 1 Int256 Int256
182687704666362864775460604089535377456991567872 1 Int256 Int256
365375409332725729550921208179070754913983135744 1 Int256 Int256
730750818665451459101842416358141509827966271488 1 Int256 Int256
1461501637330902918203684832716283019655932542976 1 Int256 Int256
2923003274661805836407369665432566039311865085952 1 Int256 Int256
5846006549323611672814739330865132078623730171904 1 Int256 Int256
11692013098647223345629478661730264157247460343808 1 Int256 Int256
23384026197294446691258957323460528314494920687616 1 Int256 Int256
46768052394588893382517914646921056628989841375232 1 Int256 Int256
93536104789177786765035829293842113257979682750464 1 Int256 Int256
187072209578355573530071658587684226515959365500928 1 Int256 Int256
374144419156711147060143317175368453031918731001856 1 Int256 Int256
748288838313422294120286634350736906063837462003712 1 Int256 Int256
1496577676626844588240573268701473812127674924007424 1 Int256 Int256
2993155353253689176481146537402947624255349848014848 1 Int256 Int256
5986310706507378352962293074805895248510699696029696 1 Int256 Int256
11972621413014756705924586149611790497021399392059392 1 Int256 Int256
23945242826029513411849172299223580994042798784118784 1 Int256 Int256
47890485652059026823698344598447161988085597568237568 1 Int256 Int256
95780971304118053647396689196894323976171195136475136 1 Int256 Int256
191561942608236107294793378393788647952342390272950272 1 Int256 Int256
383123885216472214589586756787577295904684780545900544 1 Int256 Int256
766247770432944429179173513575154591809369561091801088 1 Int256 Int256
1532495540865888858358347027150309183618739122183602176 1 Int256 Int256
3064991081731777716716694054300618367237478244367204352 1 Int256 Int256
6129982163463555433433388108601236734474956488734408704 1 Int256 Int256
12259964326927110866866776217202473468949912977468817408 1 Int256 Int256
24519928653854221733733552434404946937899825954937634816 1 Int256 Int256
49039857307708443467467104868809893875799651909875269632 1 Int256 Int256
98079714615416886934934209737619787751599303819750539264 1 Int256 Int256
196159429230833773869868419475239575503198607639501078528 1 Int256 Int256
392318858461667547739736838950479151006397215279002157056 1 Int256 Int256
784637716923335095479473677900958302012794430558004314112 1 Int256 Int256
1569275433846670190958947355801916604025588861116008628224 1 Int256 Int256
3138550867693340381917894711603833208051177722232017256448 1 Int256 Int256
6277101735386680763835789423207666416102355444464034512896 1 Int256 Int256
12554203470773361527671578846415332832204710888928069025792 1 Int256 Int256
25108406941546723055343157692830665664409421777856138051584 1 Int256 Int256
50216813883093446110686315385661331328818843555712276103168 1 Int256 Int256
100433627766186892221372630771322662657637687111424552206336 1 Int256 Int256
200867255532373784442745261542645325315275374222849104412672 1 Int256 Int256
401734511064747568885490523085290650630550748445698208825344 1 Int256 Int256
803469022129495137770981046170581301261101496891396417650688 1 Int256 Int256
1606938044258990275541962092341162602522202993782792835301376 1 Int256 Int256
3213876088517980551083924184682325205044405987565585670602752 1 Int256 Int256
6427752177035961102167848369364650410088811975131171341205504 1 Int256 Int256
12855504354071922204335696738729300820177623950262342682411008 1 Int256 Int256
25711008708143844408671393477458601640355247900524685364822016 1 Int256 Int256
51422017416287688817342786954917203280710495801049370729644032 1 Int256 Int256
102844034832575377634685573909834406561420991602098741459288064 1 Int256 Int256
205688069665150755269371147819668813122841983204197482918576128 1 Int256 Int256
411376139330301510538742295639337626245683966408394965837152256 1 Int256 Int256
822752278660603021077484591278675252491367932816789931674304512 1 Int256 Int256
1645504557321206042154969182557350504982735865633579863348609024 1 Int256 Int256
3291009114642412084309938365114701009965471731267159726697218048 1 Int256 Int256
6582018229284824168619876730229402019930943462534319453394436096 1 Int256 Int256
13164036458569648337239753460458804039861886925068638906788872192 1 Int256 Int256
26328072917139296674479506920917608079723773850137277813577744384 1 Int256 Int256
52656145834278593348959013841835216159447547700274555627155488768 1 Int256 Int256
105312291668557186697918027683670432318895095400549111254310977536 1 Int256 Int256
210624583337114373395836055367340864637790190801098222508621955072 1 Int256 Int256
421249166674228746791672110734681729275580381602196445017243910144 1 Int256 Int256
842498333348457493583344221469363458551160763204392890034487820288 1 Int256 Int256
1684996666696914987166688442938726917102321526408785780068975640576 1 Int256 Int256
3369993333393829974333376885877453834204643052817571560137951281152 1 Int256 Int256
6739986666787659948666753771754907668409286105635143120275902562304 1 Int256 Int256
13479973333575319897333507543509815336818572211270286240551805124608 1 Int256 Int256
26959946667150639794667015087019630673637144422540572481103610249216 1 Int256 Int256
53919893334301279589334030174039261347274288845081144962207220498432 1 Int256 Int256
107839786668602559178668060348078522694548577690162289924414440996864 1 Int256 Int256
215679573337205118357336120696157045389097155380324579848828881993728 1 Int256 Int256
431359146674410236714672241392314090778194310760649159697657763987456 1 Int256 Int256
862718293348820473429344482784628181556388621521298319395315527974912 1 Int256 Int256
1725436586697640946858688965569256363112777243042596638790631055949824 1 Int256 Int256
3450873173395281893717377931138512726225554486085193277581262111899648 1 Int256 Int256
6901746346790563787434755862277025452451108972170386555162524223799296 1 Int256 Int256
13803492693581127574869511724554050904902217944340773110325048447598592 1 Int256 Int256
27606985387162255149739023449108101809804435888681546220650096895197184 1 Int256 Int256
55213970774324510299478046898216203619608871777363092441300193790394368 1 Int256 Int256
110427941548649020598956093796432407239217743554726184882600387580788736 1 Int256 Int256
220855883097298041197912187592864814478435487109452369765200775161577472 1 Int256 Int256
441711766194596082395824375185729628956870974218904739530401550323154944 1 Int256 Int256
883423532389192164791648750371459257913741948437809479060803100646309888 1 Int256 Int256
1766847064778384329583297500742918515827483896875618958121606201292619776 1 Int256 Int256
3533694129556768659166595001485837031654967793751237916243212402585239552 1 Int256 Int256
7067388259113537318333190002971674063309935587502475832486424805170479104 1 Int256 Int256
14134776518227074636666380005943348126619871175004951664972849610340958208 1 Int256 Int256
28269553036454149273332760011886696253239742350009903329945699220681916416 1 Int256 Int256
56539106072908298546665520023773392506479484700019806659891398441363832832 1 Int256 Int256
113078212145816597093331040047546785012958969400039613319782796882727665664 1 Int256 Int256
226156424291633194186662080095093570025917938800079226639565593765455331328 1 Int256 Int256
452312848583266388373324160190187140051835877600158453279131187530910662656 1 Int256 Int256
904625697166532776746648320380374280103671755200316906558262375061821325312 1 Int256 Int256
1809251394333065553493296640760748560207343510400633813116524750123642650624 1 Int256 Int256
3618502788666131106986593281521497120414687020801267626233049500247285301248 1 Int256 Int256
7237005577332262213973186563042994240829374041602535252466099000494570602496 1 Int256 Int256
14474011154664524427946373126085988481658748083205070504932198000989141204992 1 Int256 Int256
28948022309329048855892746252171976963317496166410141009864396001978282409984 1 Int256 Int256
1 1 UInt256 UInt256
2 1 UInt256 UInt256
4 1 UInt256 UInt256
8 1 UInt256 UInt256
16 1 UInt256 UInt256
32 1 UInt256 UInt256
64 1 UInt256 UInt256
128 1 UInt256 UInt256
256 1 UInt256 UInt256
512 1 UInt256 UInt256
1024 1 UInt256 UInt256
2048 1 UInt256 UInt256
4096 1 UInt256 UInt256
8192 1 UInt256 UInt256
16384 1 UInt256 UInt256
32768 1 UInt256 UInt256
65536 1 UInt256 UInt256
131072 1 UInt256 UInt256
262144 1 UInt256 UInt256
524288 1 UInt256 UInt256
1048576 1 UInt256 UInt256
2097152 1 UInt256 UInt256
4194304 1 UInt256 UInt256
8388608 1 UInt256 UInt256
16777216 1 UInt256 UInt256
33554432 1 UInt256 UInt256
67108864 1 UInt256 UInt256
134217728 1 UInt256 UInt256
268435456 1 UInt256 UInt256
536870912 1 UInt256 UInt256
1073741824 1 UInt256 UInt256
2147483648 1 UInt256 UInt256
4294967296 1 UInt256 UInt256
8589934592 1 UInt256 UInt256
17179869184 1 UInt256 UInt256
34359738368 1 UInt256 UInt256
68719476736 1 UInt256 UInt256
137438953472 1 UInt256 UInt256
274877906944 1 UInt256 UInt256
549755813888 1 UInt256 UInt256
1099511627776 1 UInt256 UInt256
2199023255552 1 UInt256 UInt256
4398046511104 1 UInt256 UInt256
8796093022208 1 UInt256 UInt256
17592186044416 1 UInt256 UInt256
35184372088832 1 UInt256 UInt256
70368744177664 1 UInt256 UInt256
140737488355328 1 UInt256 UInt256
281474976710656 1 UInt256 UInt256
562949953421312 1 UInt256 UInt256
1125899906842624 1 UInt256 UInt256
2251799813685248 1 UInt256 UInt256
4503599627370496 1 UInt256 UInt256
9007199254740992 1 UInt256 UInt256
18014398509481984 1 UInt256 UInt256
36028797018963968 1 UInt256 UInt256
72057594037927936 1 UInt256 UInt256
144115188075855872 1 UInt256 UInt256
288230376151711744 1 UInt256 UInt256
576460752303423488 1 UInt256 UInt256
1152921504606846976 1 UInt256 UInt256
2305843009213693952 1 UInt256 UInt256
4611686018427387904 1 UInt256 UInt256
9223372036854775808 1 UInt256 UInt256
18446744073709551616 1 UInt256 UInt256
36893488147419103232 1 UInt256 UInt256
73786976294838206464 1 UInt256 UInt256
147573952589676412928 1 UInt256 UInt256
295147905179352825856 1 UInt256 UInt256
590295810358705651712 1 UInt256 UInt256
1180591620717411303424 1 UInt256 UInt256
2361183241434822606848 1 UInt256 UInt256
4722366482869645213696 1 UInt256 UInt256
9444732965739290427392 1 UInt256 UInt256
18889465931478580854784 1 UInt256 UInt256
37778931862957161709568 1 UInt256 UInt256
75557863725914323419136 1 UInt256 UInt256
151115727451828646838272 1 UInt256 UInt256
302231454903657293676544 1 UInt256 UInt256
604462909807314587353088 1 UInt256 UInt256
1208925819614629174706176 1 UInt256 UInt256
2417851639229258349412352 1 UInt256 UInt256
4835703278458516698824704 1 UInt256 UInt256
9671406556917033397649408 1 UInt256 UInt256
19342813113834066795298816 1 UInt256 UInt256
38685626227668133590597632 1 UInt256 UInt256
77371252455336267181195264 1 UInt256 UInt256
154742504910672534362390528 1 UInt256 UInt256
309485009821345068724781056 1 UInt256 UInt256
618970019642690137449562112 1 UInt256 UInt256
1237940039285380274899124224 1 UInt256 UInt256
2475880078570760549798248448 1 UInt256 UInt256
4951760157141521099596496896 1 UInt256 UInt256
9903520314283042199192993792 1 UInt256 UInt256
19807040628566084398385987584 1 UInt256 UInt256
39614081257132168796771975168 1 UInt256 UInt256
79228162514264337593543950336 1 UInt256 UInt256
158456325028528675187087900672 1 UInt256 UInt256
316912650057057350374175801344 1 UInt256 UInt256
633825300114114700748351602688 1 UInt256 UInt256
1267650600228229401496703205376 1 UInt256 UInt256
2535301200456458802993406410752 1 UInt256 UInt256
5070602400912917605986812821504 1 UInt256 UInt256
10141204801825835211973625643008 1 UInt256 UInt256
20282409603651670423947251286016 1 UInt256 UInt256
40564819207303340847894502572032 1 UInt256 UInt256
81129638414606681695789005144064 1 UInt256 UInt256
162259276829213363391578010288128 1 UInt256 UInt256
324518553658426726783156020576256 1 UInt256 UInt256
649037107316853453566312041152512 1 UInt256 UInt256
1298074214633706907132624082305024 1 UInt256 UInt256
2596148429267413814265248164610048 1 UInt256 UInt256
5192296858534827628530496329220096 1 UInt256 UInt256
10384593717069655257060992658440192 1 UInt256 UInt256
20769187434139310514121985316880384 1 UInt256 UInt256
41538374868278621028243970633760768 1 UInt256 UInt256
83076749736557242056487941267521536 1 UInt256 UInt256
166153499473114484112975882535043072 1 UInt256 UInt256
332306998946228968225951765070086144 1 UInt256 UInt256
664613997892457936451903530140172288 1 UInt256 UInt256
1329227995784915872903807060280344576 1 UInt256 UInt256
2658455991569831745807614120560689152 1 UInt256 UInt256
5316911983139663491615228241121378304 1 UInt256 UInt256
10633823966279326983230456482242756608 1 UInt256 UInt256
21267647932558653966460912964485513216 1 UInt256 UInt256
42535295865117307932921825928971026432 1 UInt256 UInt256
85070591730234615865843651857942052864 1 UInt256 UInt256
170141183460469231731687303715884105728 1 UInt256 UInt256
340282366920938463463374607431768211456 1 UInt256 UInt256
680564733841876926926749214863536422912 1 UInt256 UInt256
1361129467683753853853498429727072845824 1 UInt256 UInt256
2722258935367507707706996859454145691648 1 UInt256 UInt256
5444517870735015415413993718908291383296 1 UInt256 UInt256
10889035741470030830827987437816582766592 1 UInt256 UInt256
21778071482940061661655974875633165533184 1 UInt256 UInt256
43556142965880123323311949751266331066368 1 UInt256 UInt256
87112285931760246646623899502532662132736 1 UInt256 UInt256
174224571863520493293247799005065324265472 1 UInt256 UInt256
348449143727040986586495598010130648530944 1 UInt256 UInt256
696898287454081973172991196020261297061888 1 UInt256 UInt256
1393796574908163946345982392040522594123776 1 UInt256 UInt256
2787593149816327892691964784081045188247552 1 UInt256 UInt256
5575186299632655785383929568162090376495104 1 UInt256 UInt256
11150372599265311570767859136324180752990208 1 UInt256 UInt256
22300745198530623141535718272648361505980416 1 UInt256 UInt256
44601490397061246283071436545296723011960832 1 UInt256 UInt256
89202980794122492566142873090593446023921664 1 UInt256 UInt256
178405961588244985132285746181186892047843328 1 UInt256 UInt256
356811923176489970264571492362373784095686656 1 UInt256 UInt256
713623846352979940529142984724747568191373312 1 UInt256 UInt256
1427247692705959881058285969449495136382746624 1 UInt256 UInt256
2854495385411919762116571938898990272765493248 1 UInt256 UInt256
5708990770823839524233143877797980545530986496 1 UInt256 UInt256
11417981541647679048466287755595961091061972992 1 UInt256 UInt256
22835963083295358096932575511191922182123945984 1 UInt256 UInt256
45671926166590716193865151022383844364247891968 1 UInt256 UInt256
91343852333181432387730302044767688728495783936 1 UInt256 UInt256
182687704666362864775460604089535377456991567872 1 UInt256 UInt256
365375409332725729550921208179070754913983135744 1 UInt256 UInt256
730750818665451459101842416358141509827966271488 1 UInt256 UInt256
1461501637330902918203684832716283019655932542976 1 UInt256 UInt256
2923003274661805836407369665432566039311865085952 1 UInt256 UInt256
5846006549323611672814739330865132078623730171904 1 UInt256 UInt256
11692013098647223345629478661730264157247460343808 1 UInt256 UInt256
23384026197294446691258957323460528314494920687616 1 UInt256 UInt256
46768052394588893382517914646921056628989841375232 1 UInt256 UInt256
93536104789177786765035829293842113257979682750464 1 UInt256 UInt256
187072209578355573530071658587684226515959365500928 1 UInt256 UInt256
374144419156711147060143317175368453031918731001856 1 UInt256 UInt256
748288838313422294120286634350736906063837462003712 1 UInt256 UInt256
1496577676626844588240573268701473812127674924007424 1 UInt256 UInt256
2993155353253689176481146537402947624255349848014848 1 UInt256 UInt256
5986310706507378352962293074805895248510699696029696 1 UInt256 UInt256
11972621413014756705924586149611790497021399392059392 1 UInt256 UInt256
23945242826029513411849172299223580994042798784118784 1 UInt256 UInt256
47890485652059026823698344598447161988085597568237568 1 UInt256 UInt256
95780971304118053647396689196894323976171195136475136 1 UInt256 UInt256
191561942608236107294793378393788647952342390272950272 1 UInt256 UInt256
383123885216472214589586756787577295904684780545900544 1 UInt256 UInt256
766247770432944429179173513575154591809369561091801088 1 UInt256 UInt256
1532495540865888858358347027150309183618739122183602176 1 UInt256 UInt256
3064991081731777716716694054300618367237478244367204352 1 UInt256 UInt256
6129982163463555433433388108601236734474956488734408704 1 UInt256 UInt256
12259964326927110866866776217202473468949912977468817408 1 UInt256 UInt256
24519928653854221733733552434404946937899825954937634816 1 UInt256 UInt256
49039857307708443467467104868809893875799651909875269632 1 UInt256 UInt256
98079714615416886934934209737619787751599303819750539264 1 UInt256 UInt256
196159429230833773869868419475239575503198607639501078528 1 UInt256 UInt256
392318858461667547739736838950479151006397215279002157056 1 UInt256 UInt256
784637716923335095479473677900958302012794430558004314112 1 UInt256 UInt256
1569275433846670190958947355801916604025588861116008628224 1 UInt256 UInt256
3138550867693340381917894711603833208051177722232017256448 1 UInt256 UInt256
6277101735386680763835789423207666416102355444464034512896 1 UInt256 UInt256
12554203470773361527671578846415332832204710888928069025792 1 UInt256 UInt256
25108406941546723055343157692830665664409421777856138051584 1 UInt256 UInt256
50216813883093446110686315385661331328818843555712276103168 1 UInt256 UInt256
100433627766186892221372630771322662657637687111424552206336 1 UInt256 UInt256
200867255532373784442745261542645325315275374222849104412672 1 UInt256 UInt256
401734511064747568885490523085290650630550748445698208825344 1 UInt256 UInt256
803469022129495137770981046170581301261101496891396417650688 1 UInt256 UInt256
1606938044258990275541962092341162602522202993782792835301376 1 UInt256 UInt256
3213876088517980551083924184682325205044405987565585670602752 1 UInt256 UInt256
6427752177035961102167848369364650410088811975131171341205504 1 UInt256 UInt256
12855504354071922204335696738729300820177623950262342682411008 1 UInt256 UInt256
25711008708143844408671393477458601640355247900524685364822016 1 UInt256 UInt256
51422017416287688817342786954917203280710495801049370729644032 1 UInt256 UInt256
102844034832575377634685573909834406561420991602098741459288064 1 UInt256 UInt256
205688069665150755269371147819668813122841983204197482918576128 1 UInt256 UInt256
411376139330301510538742295639337626245683966408394965837152256 1 UInt256 UInt256
822752278660603021077484591278675252491367932816789931674304512 1 UInt256 UInt256
1645504557321206042154969182557350504982735865633579863348609024 1 UInt256 UInt256
3291009114642412084309938365114701009965471731267159726697218048 1 UInt256 UInt256
6582018229284824168619876730229402019930943462534319453394436096 1 UInt256 UInt256
13164036458569648337239753460458804039861886925068638906788872192 1 UInt256 UInt256
26328072917139296674479506920917608079723773850137277813577744384 1 UInt256 UInt256
52656145834278593348959013841835216159447547700274555627155488768 1 UInt256 UInt256
105312291668557186697918027683670432318895095400549111254310977536 1 UInt256 UInt256
210624583337114373395836055367340864637790190801098222508621955072 1 UInt256 UInt256
421249166674228746791672110734681729275580381602196445017243910144 1 UInt256 UInt256
842498333348457493583344221469363458551160763204392890034487820288 1 UInt256 UInt256
1684996666696914987166688442938726917102321526408785780068975640576 1 UInt256 UInt256
3369993333393829974333376885877453834204643052817571560137951281152 1 UInt256 UInt256
6739986666787659948666753771754907668409286105635143120275902562304 1 UInt256 UInt256
13479973333575319897333507543509815336818572211270286240551805124608 1 UInt256 UInt256
26959946667150639794667015087019630673637144422540572481103610249216 1 UInt256 UInt256
53919893334301279589334030174039261347274288845081144962207220498432 1 UInt256 UInt256
107839786668602559178668060348078522694548577690162289924414440996864 1 UInt256 UInt256
215679573337205118357336120696157045389097155380324579848828881993728 1 UInt256 UInt256
431359146674410236714672241392314090778194310760649159697657763987456 1 UInt256 UInt256
862718293348820473429344482784628181556388621521298319395315527974912 1 UInt256 UInt256
1725436586697640946858688965569256363112777243042596638790631055949824 1 UInt256 UInt256
3450873173395281893717377931138512726225554486085193277581262111899648 1 UInt256 UInt256
6901746346790563787434755862277025452451108972170386555162524223799296 1 UInt256 UInt256
13803492693581127574869511724554050904902217944340773110325048447598592 1 UInt256 UInt256
27606985387162255149739023449108101809804435888681546220650096895197184 1 UInt256 UInt256
55213970774324510299478046898216203619608871777363092441300193790394368 1 UInt256 UInt256
110427941548649020598956093796432407239217743554726184882600387580788736 1 UInt256 UInt256
220855883097298041197912187592864814478435487109452369765200775161577472 1 UInt256 UInt256
441711766194596082395824375185729628956870974218904739530401550323154944 1 UInt256 UInt256
883423532389192164791648750371459257913741948437809479060803100646309888 1 UInt256 UInt256
1766847064778384329583297500742918515827483896875618958121606201292619776 1 UInt256 UInt256
3533694129556768659166595001485837031654967793751237916243212402585239552 1 UInt256 UInt256
7067388259113537318333190002971674063309935587502475832486424805170479104 1 UInt256 UInt256
14134776518227074636666380005943348126619871175004951664972849610340958208 1 UInt256 UInt256
28269553036454149273332760011886696253239742350009903329945699220681916416 1 UInt256 UInt256
56539106072908298546665520023773392506479484700019806659891398441363832832 1 UInt256 UInt256
113078212145816597093331040047546785012958969400039613319782796882727665664 1 UInt256 UInt256
226156424291633194186662080095093570025917938800079226639565593765455331328 1 UInt256 UInt256
452312848583266388373324160190187140051835877600158453279131187530910662656 1 UInt256 UInt256
904625697166532776746648320380374280103671755200316906558262375061821325312 1 UInt256 UInt256
1809251394333065553493296640760748560207343510400633813116524750123642650624 1 UInt256 UInt256
3618502788666131106986593281521497120414687020801267626233049500247285301248 1 UInt256 UInt256
7237005577332262213973186563042994240829374041602535252466099000494570602496 1 UInt256 UInt256
14474011154664524427946373126085988481658748083205070504932198000989141204992 1 UInt256 UInt256
28948022309329048855892746252171976963317496166410141009864396001978282409984 1 UInt256 UInt256
57896044618658097711785492504343953926634992332820282019728792003956564819968 1 UInt256 UInt256

3
tests/queries/0_stateless/01440_big_int_shift.sql Normal file
View File

@ -0,0 +1,3 @@
SELECT bitShiftLeft(toInt128(1), number) x, bitShiftRight(x, number) y, toTypeName(x), toTypeName(y) FROM numbers(127) ORDER BY number;
SELECT bitShiftLeft(toInt256(1), number) x, bitShiftRight(x, number) y, toTypeName(x), toTypeName(y) FROM numbers(255) ORDER BY number;
SELECT bitShiftLeft(toUInt256(1), number) x, bitShiftRight(x, number) y, toTypeName(x), toTypeName(y) FROM numbers(256) ORDER BY number;

24
tests/queries/0_stateless/01457_int256_hashing.reference Normal file
View File

@ -0,0 +1,24 @@
0
123
123
[1,1,2]
0
123
123
[1,1,2]
0
123
123
[1,1,2]
0
321
321
[1,1,2]
0
321
321
[1,1,2]
0
321
321
[1,1,2]

39
tests/queries/0_stateless/01457_int256_hashing.sql Normal file
View File

@ -0,0 +1,39 @@
SELECT toUInt256(123) IN (NULL);
SELECT toUInt256(123) AS k GROUP BY k;
SELECT toUInt256(123) AS k FROM system.one INNER JOIN (SELECT toUInt256(123) AS k) t USING k;
SELECT arrayEnumerateUniq([toUInt256(123), toUInt256(456), toUInt256(123)]);
SELECT toInt256(123) IN (NULL);
SELECT toInt256(123) AS k GROUP BY k;
SELECT toInt256(123) AS k FROM system.one INNER JOIN (SELECT toInt256(123) AS k) t USING k;
SELECT arrayEnumerateUniq([toInt256(123), toInt256(456), toInt256(123)]);
-- SELECT toUInt128(123) IN (NULL);
-- SELECT toUInt128(123) AS k GROUP BY k;
-- SELECT toUInt128(123) AS k FROM system.one INNER JOIN (SELECT toUInt128(123) AS k) t USING k;
-- SELECT arrayEnumerateUniq([toUInt128(123), toUInt128(456), toUInt128(123)]);
SELECT toInt128(123) IN (NULL);
SELECT toInt128(123) AS k GROUP BY k;
SELECT toInt128(123) AS k FROM system.one INNER JOIN (SELECT toInt128(123) AS k) t USING k;
SELECT arrayEnumerateUniq([toInt128(123), toInt128(456), toInt128(123)]);
SELECT toNullable(toUInt256(321)) IN (NULL);
SELECT toNullable(toUInt256(321)) AS k GROUP BY k;
SELECT toNullable(toUInt256(321)) AS k FROM system.one INNER JOIN (SELECT toUInt256(321) AS k) t USING k;
SELECT arrayEnumerateUniq([toNullable(toUInt256(321)), toNullable(toUInt256(456)), toNullable(toUInt256(321))]);
SELECT toNullable(toInt256(321)) IN (NULL);
SELECT toNullable(toInt256(321)) AS k GROUP BY k;
SELECT toNullable(toInt256(321)) AS k FROM system.one INNER JOIN (SELECT toInt256(321) AS k) t USING k;
SELECT arrayEnumerateUniq([toNullable(toInt256(321)), toNullable(toInt256(456)), toNullable(toInt256(321))]);
-- SELECT toNullable(toUInt128(321)) IN (NULL);
-- SELECT toNullable(toUInt128(321)) AS k GROUP BY k;
-- SELECT toNullable(toUInt128(321)) AS k FROM system.one INNER JOIN (SELECT toUInt128(321) AS k) t USING k;
-- SELECT arrayEnumerateUniq([toNullable(toUInt128(321)), toNullable(toUInt128(456)), toNullable(toUInt128(321))]);
SELECT toNullable(toInt128(321)) IN (NULL);
SELECT toNullable(toInt128(321)) AS k GROUP BY k;
SELECT toNullable(toInt128(321)) AS k FROM system.one INNER JOIN (SELECT toInt128(321) AS k) t USING k;
SELECT arrayEnumerateUniq([toNullable(toInt128(321)), toNullable(toInt128(456)), toNullable(toInt128(321))]);