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#pragma once
#include <cmath>
#include <limits>
#include <base/DecomposedFloat.h>
#include <Core/Defines.h>
#include <Core/Types.h>
#include <base/extended_types.h>
#include <Common/NaNUtils.h>
/** Preceptually-correct number comparisons.
* Example: Int8(-1) != UInt8(255)
*/
namespace accurate
{
using namespace DB;
template <typename A, typename B>
bool lessOp(A a, B b)
{
if constexpr (std::is_same_v<A, B>)
return a < b;
/// float vs float
if constexpr (std::is_floating_point_v<A> && std::is_floating_point_v<B>)
return a < b;
/// anything vs NaN
if (isNaN(a) || isNaN(b))
return false;
/// int vs int
if constexpr (is_integer<A> && is_integer<B>)
{
/// same signedness
if constexpr (is_signed_v<A> == is_signed_v<B>)
return a < b;
/// different signedness
if constexpr (is_signed_v<A> && !is_signed_v<B>)
return a < 0 || static_cast<make_unsigned_t<A>>(a) < b;
if constexpr (!is_signed_v<A> && is_signed_v<B>)
return b >= 0 && a < static_cast<make_unsigned_t<B>>(b);
}
/// int vs float
if constexpr (is_integer<A> && std::is_floating_point_v<B>)
{
if constexpr (sizeof(A) <= 4)
return static_cast<double>(a) < static_cast<double>(b);
return DecomposedFloat<B>(b).greater(a);
}
if constexpr (std::is_floating_point_v<A> && is_integer<B>)
{
if constexpr (sizeof(B) <= 4)
return static_cast<double>(a) < static_cast<double>(b);
return DecomposedFloat<A>(a).less(b);
}
static_assert(is_integer<A> || std::is_floating_point_v<A>);
static_assert(is_integer<B> || std::is_floating_point_v<B>);
UNREACHABLE();
}
template <typename A, typename B>
bool greaterOp(A a, B b)
{
return lessOp(b, a);
}
template <typename A, typename B>
bool greaterOrEqualsOp(A a, B b)
{
if (isNaN(a) || isNaN(b))
return false;
return !lessOp(a, b);
}
template <typename A, typename B>
bool lessOrEqualsOp(A a, B b)
{
if (isNaN(a) || isNaN(b))
return false;
return !lessOp(b, a);
}
template <typename A, typename B>
bool equalsOp(A a, B b)
{
if constexpr (std::is_same_v<A, B>)
return a == b;
/// float vs float
if constexpr (std::is_floating_point_v<A> && std::is_floating_point_v<B>)
return a == b;
/// anything vs NaN
if (isNaN(a) || isNaN(b))
return false;
/// int vs int
if constexpr (is_integer<A> && is_integer<B>)
{
/// same signedness
if constexpr (is_signed_v<A> == is_signed_v<B>)
return a == b;
/// different signedness
if constexpr (is_signed_v<A> && !is_signed_v<B>)
return a >= 0 && static_cast<make_unsigned_t<A>>(a) == b;
if constexpr (!is_signed_v<A> && is_signed_v<B>)
return b >= 0 && a == static_cast<make_unsigned_t<B>>(b);
}
/// int vs float
if constexpr (is_integer<A> && std::is_floating_point_v<B>)
{
if constexpr (sizeof(A) <= 4)
return static_cast<double>(a) == static_cast<double>(b);
return DecomposedFloat<B>(b).equals(a);
}
if constexpr (std::is_floating_point_v<A> && is_integer<B>)
{
if constexpr (sizeof(B) <= 4)
return static_cast<double>(a) == static_cast<double>(b);
return DecomposedFloat<A>(a).equals(b);
}
/// e.g comparing UUID with integer.
return false;
}
template <typename A, typename B>
bool notEqualsOp(A a, B b)
{
return !equalsOp(a, b);
}
/// Converts numeric to an equal numeric of other type.
/// When `strict` is `true` check that result exactly same as input, otherwise just check overflow
template <typename From, typename To, bool strict = true>
inline bool NO_SANITIZE_UNDEFINED convertNumeric(From value, To & result)
{
/// If the type is actually the same it's not necessary to do any checks.
if constexpr (std::is_same_v<From, To>)
{
result = value;
return true;
}
if constexpr (std::is_floating_point_v<From> && std::is_floating_point_v<To>)
{
/// Note that NaNs doesn't compare equal to anything, but they are still in range of any Float type.
if (isNaN(value))
{
result = static_cast<To>(value);
return true;
}
if (value == std::numeric_limits<From>::infinity())
{
result = std::numeric_limits<To>::infinity();
return true;
}
if (value == -std::numeric_limits<From>::infinity())
{
result = -std::numeric_limits<To>::infinity();
return true;
}
}
if (greaterOp(value, std::numeric_limits<To>::max())
|| lessOp(value, std::numeric_limits<To>::lowest()))
{
return false;
}
result = static_cast<To>(value);
if constexpr (strict)
return equalsOp(value, result);
return true;
}
}
namespace DB
{
template <typename A, typename B> struct EqualsOp
{
/// An operation that gives the same result, if arguments are passed in reverse order.
using SymmetricOp = EqualsOp<B, A>;
static UInt8 apply(A a, B b) { return accurate::equalsOp(a, b); }
};
template <typename A, typename B> struct NotEqualsOp
{
using SymmetricOp = NotEqualsOp<B, A>;
static UInt8 apply(A a, B b) { return accurate::notEqualsOp(a, b); }
};
template <typename A, typename B> struct GreaterOp;
template <typename A, typename B> struct LessOp
{
using SymmetricOp = GreaterOp<B, A>;
static UInt8 apply(A a, B b) { return accurate::lessOp(a, b); }
};
template <typename A, typename B> struct GreaterOp
{
using SymmetricOp = LessOp<B, A>;
static UInt8 apply(A a, B b) { return accurate::greaterOp(a, b); }
};
template <typename A, typename B> struct GreaterOrEqualsOp;
template <typename A, typename B> struct LessOrEqualsOp
{
using SymmetricOp = GreaterOrEqualsOp<B, A>;
static UInt8 apply(A a, B b) { return accurate::lessOrEqualsOp(a, b); }
};
template <typename A, typename B> struct GreaterOrEqualsOp
{
using SymmetricOp = LessOrEqualsOp<B, A>;
static UInt8 apply(A a, B b) { return accurate::greaterOrEqualsOp(a, b); }
};
}
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