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The mixed number arms of JSON_IMPLEMENT_OPERATOR cast the integer to number_float_t before comparing. Past the float's mantissa that cast is lossy: 2^63-2 and 2^63-1 both round to 2^63, so each compares equal to that float while differing from each other. Equality is therefore intransitive and the ordering is not a strict weak ordering, which makes std::sort over such values, or using them as keys in std::set or std::map, undefined behavior. Compare the two exactly instead. The integer's range is a power of two the float represents exactly, so a float outside it is ordered by magnitude alone; inside it, truncating the float is exact, and the integer parts and then any fractional part decide. The helper hands back a pair whose comparison with the original operator reproduces that ordering, which keeps every operator's return type as it was, including partial_ordering for the spaceship. A NaN operand is returned in both members, so NaN stays false for the relational operators and unordered for <=>. Values a float represents exactly still compare equal, so json(1) == json(1.0) is unchanged. Signed-off-by: qatcod <79017227+qatcod@users.noreply.github.com>
184 lines
6.4 KiB
C++
184 lines
6.4 KiB
C++
// __ _____ _____ _____
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// __| | __| | | | JSON for Modern C++
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// | | |__ | | | | | | version 3.12.0
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// |_____|_____|_____|_|___| https://github.com/nlohmann/json
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//
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// SPDX-FileCopyrightText: 2013-2026 Niels Lohmann <https://nlohmann.me>
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// SPDX-License-Identifier: MIT
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#pragma once
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#include <array> // array
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#include <cmath> // isnan, ldexp, trunc
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#include <cstddef> // size_t
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#include <cstdint> // uint8_t
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#include <limits> // numeric_limits
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#include <string> // string
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#include <type_traits> // is_signed
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#include <nlohmann/detail/macro_scope.hpp>
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#if JSON_HAS_THREE_WAY_COMPARISON
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#include <compare> // partial_ordering
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#endif
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NLOHMANN_JSON_NAMESPACE_BEGIN
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namespace detail
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{
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///////////////////////////
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// JSON type enumeration //
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///////////////////////////
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/*!
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@brief the JSON type enumeration
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This enumeration collects the different JSON types. It is internally used to
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distinguish the stored values, and the functions @ref basic_json::is_null(),
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@ref basic_json::is_object(), @ref basic_json::is_array(),
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@ref basic_json::is_string(), @ref basic_json::is_boolean(),
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@ref basic_json::is_number() (with @ref basic_json::is_number_integer(),
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@ref basic_json::is_number_unsigned(), and @ref basic_json::is_number_float()),
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@ref basic_json::is_discarded(), @ref basic_json::is_primitive(), and
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@ref basic_json::is_structured() rely on it.
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@note There are three enumeration entries (number_integer, number_unsigned, and
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number_float), because the library distinguishes these three types for numbers:
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@ref basic_json::number_unsigned_t is used for unsigned integers,
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@ref basic_json::number_integer_t is used for signed integers, and
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@ref basic_json::number_float_t is used for floating-point numbers or to
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approximate integers which do not fit in the limits of their respective type.
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@sa see @ref basic_json::basic_json(const value_t value_type) -- create a JSON
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value with the default value for a given type
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@since version 1.0.0
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*/
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enum class value_t : std::uint8_t
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{
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null, ///< null value
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object, ///< object (unordered set of name/value pairs)
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array, ///< array (ordered collection of values)
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string, ///< string value
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boolean, ///< boolean value
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number_integer, ///< number value (signed integer)
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number_unsigned, ///< number value (unsigned integer)
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number_float, ///< number value (floating-point)
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binary, ///< binary array (ordered collection of bytes)
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discarded ///< discarded by the parser callback function
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};
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/*!
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@brief comparison operator for JSON types
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Returns an ordering that is similar to Python:
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- order: null < boolean < number < object < array < string < binary
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- furthermore, each type is not smaller than itself
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- discarded values are not comparable
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- binary is represented as a b"" string in python and directly comparable to a
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string; however, making a binary array directly comparable with a string would
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be surprising behavior in a JSON file.
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@since version 1.0.0
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*/
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#if JSON_HAS_THREE_WAY_COMPARISON
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inline std::partial_ordering operator<=>(const value_t lhs, const value_t rhs) noexcept // *NOPAD*
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#else
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inline bool operator<(const value_t lhs, const value_t rhs) noexcept
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#endif
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{
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static constexpr std::array<std::uint8_t, 9> order = {{
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0 /* null */, 3 /* object */, 4 /* array */, 5 /* string */,
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1 /* boolean */, 2 /* integer */, 2 /* unsigned */, 2 /* float */,
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6 /* binary */
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}
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};
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const auto l_index = static_cast<std::size_t>(lhs);
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const auto r_index = static_cast<std::size_t>(rhs);
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#if JSON_HAS_THREE_WAY_COMPARISON
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if (l_index < order.size() && r_index < order.size())
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{
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return order[l_index] <=> order[r_index]; // *NOPAD*
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}
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return std::partial_ordering::unordered;
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#else
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return l_index < order.size() && r_index < order.size() && order[l_index] < order[r_index];
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#endif
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}
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// GCC selects the built-in operator< over an operator rewritten from
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// a user-defined spaceship operator
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// Clang, MSVC, and ICC select the rewritten candidate
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// (see GCC bug https://gcc.gnu.org/bugzilla/show_bug.cgi?id=105200)
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#if JSON_HAS_THREE_WAY_COMPARISON && defined(__GNUC__)
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inline bool operator<(const value_t lhs, const value_t rhs) noexcept
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{
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return std::is_lt(lhs <=> rhs); // *NOPAD*
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}
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#endif
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/*!
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@brief compare an integer with a floating point number without precision loss
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Widening the integer to the floating point type loses precision beyond the
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float's mantissa, which makes equality intransitive: both 2^63-2 and 2^63-1
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round to 2^63, so each compares equal to that float while differing from each
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other. Ordering built on that is not a strict weak ordering, so sorting such
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values, or using them as keys in an ordered container, is undefined behavior.
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Returns a value to be compared against zero with the original operator, which
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reproduces the exact ordering. A NaN operand is returned as is, so comparing it
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against zero keeps NaN's semantics: false for the relational operators and
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unordered for `<=>`.
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*/
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template<typename IntegerType, typename FloatType>
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FloatType compare_integer_with_float(const IntegerType i, const FloatType f) noexcept
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{
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const auto ordered = [](int c) noexcept
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{
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return static_cast<FloatType>(c);
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};
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if (std::isnan(f))
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{
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return f;
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}
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// values of IntegerType lie in [-bound, bound) when signed and in
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// [0, bound) when unsigned; digits excludes the sign bit, so bound is a
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// power of two that the float represents exactly
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const FloatType bound = std::ldexp(static_cast<FloatType>(1), std::numeric_limits<IntegerType>::digits);
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if (f >= bound)
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{
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return ordered(-1);
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}
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if (std::is_signed<IntegerType>::value ? (f < -bound) : (f < static_cast<FloatType>(0)))
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{
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return ordered(1);
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}
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// f is now within the integer's range, so truncating it is exact
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const FloatType truncated = std::trunc(f);
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const auto as_integer = static_cast<IntegerType>(truncated);
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if (i != as_integer)
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{
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return ordered(i < as_integer ? -1 : 1);
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}
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// the integer parts agree, so any fractional part decides
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const FloatType fraction = f - truncated;
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if (fraction > static_cast<FloatType>(0))
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{
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return ordered(-1);
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}
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if (fraction < static_cast<FloatType>(0))
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{
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return ordered(1);
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}
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return ordered(0);
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}
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} // namespace detail
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NLOHMANN_JSON_NAMESPACE_END
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