tmp/tmpdrzrs_17/{from.md → to.md}
RENAMED
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@@ -1,38 +1,41 @@
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### Comparison algorithms <a id="cmp.alg">[[cmp.alg]]</a>
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The name `strong_order` denotes a customization point object
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[[customization.point.object]]. Given subexpressions `E` and `F`, the
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expression `strong_order(E, F)` is expression-equivalent
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-
[[defns.expression
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- If the decayed types of `E` and `F` differ, `strong_order(E, F)` is
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ill-formed.
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- Otherwise, `strong_ordering(strong_order(E, F))` if it is a
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-
well-formed expression
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-
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- Otherwise, if the decayed type `T` of `E` is a floating-point type,
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yields a value of type `strong_ordering` that is consistent with the
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ordering observed by `T`’s comparison operators, and if
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`numeric_limits<T>::is_iec559` is `true`, is additionally consistent
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with the `totalOrder` operation as specified in ISO/IEC/IEEE 60559.
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- Otherwise, `strong_ordering(compare_three_way()(E, F))` if it is a
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well-formed expression.
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-
- Otherwise, `strong_order(E, F)` is ill-formed.
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-
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-
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The name `weak_order` denotes a customization point object
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[[customization.point.object]]. Given subexpressions `E` and `F`, the
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expression `weak_order(E, F)` is expression-equivalent
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-
[[defns.expression
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- If the decayed types of `E` and `F` differ, `weak_order(E, F)` is
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ill-formed.
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- Otherwise, `weak_ordering(weak_order(E, F))` if it is a well-formed
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-
expression
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-
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- Otherwise, if the decayed type `T` of `E` is a floating-point type,
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yields a value of type `weak_ordering` that is consistent with the
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ordering observed by `T`’s comparison operators and `strong_order`,
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and if `numeric_limits<T>::is_iec559` is `true`, is additionally
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consistent with the following equivalence classes, ordered from lesser
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@@ -48,86 +51,105 @@ expression `weak_order(E, F)` is expression-equivalent
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- together, all positive NaN values.
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- Otherwise, `weak_ordering(compare_three_way()(E, F))` if it is a
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well-formed expression.
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- Otherwise, `weak_ordering(strong_order(E, F))` if it is a well-formed
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expression.
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-
- Otherwise, `weak_order(E, F)` is ill-formed.
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-
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-
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The name `partial_order` denotes a customization point object
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[[customization.point.object]]. Given subexpressions `E` and `F`, the
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expression `partial_order(E, F)` is expression-equivalent
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-
[[defns.expression
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- If the decayed types of `E` and `F` differ, `partial_order(E, F)` is
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ill-formed.
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- Otherwise, `partial_ordering(partial_order(E, F))` if it is a
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-
well-formed expression
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-
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- Otherwise, `partial_ordering(compare_three_way()(E, F))` if it is a
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well-formed expression.
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- Otherwise, `partial_ordering(weak_order(E, F))` if it is a well-formed
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expression.
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-
- Otherwise, `partial_order(E, F)` is ill-formed.
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-
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-
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instantiation. — *end note*]
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The name `compare_strong_order_fallback` denotes a customization point
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object [[customization.point.object]]. Given subexpressions `E` and F,
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the expression `compare_strong_order_fallback(E, F)` is
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expression-equivalent [[defns.expression
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- If the decayed types of `E` and `F` differ,
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`compare_strong_order_fallback(E, F)` is ill-formed.
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- Otherwise, `strong_order(E, F)` if it is a well-formed expression.
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- Otherwise, if the expressions `E == F` and `E < F` are both
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well-formed and
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``` cpp
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E == F ? strong_ordering::equal :
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E < F ? strong_ordering::less :
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strong_ordering::greater
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```
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except that `E` and `F` are evaluated only once.
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- Otherwise, `compare_strong_order_fallback(E, F)` is ill-formed.
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The name `compare_weak_order_fallback` denotes a customization point
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object [[customization.point.object]]. Given subexpressions `E` and `F`,
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the expression `compare_weak_order_fallback(E, F)` is
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-
expression-equivalent [[defns.expression
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- If the decayed types of `E` and `F` differ,
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`compare_weak_order_fallback(E, F)` is ill-formed.
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- Otherwise, `weak_order(E, F)` if it is a well-formed expression.
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- Otherwise, if the expressions `E == F` and `E < F` are both
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-
well-formed and
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``` cpp
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E == F ? weak_ordering::equivalent :
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E < F ? weak_ordering::less :
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weak_ordering::greater
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```
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except that `E` and `F` are evaluated only once.
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- Otherwise, `compare_weak_order_fallback(E, F)` is ill-formed.
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The name `compare_partial_order_fallback` denotes a customization point
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object [[customization.point.object]]. Given subexpressions `E` and `F`,
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the expression `compare_partial_order_fallback(E, F)` is
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expression-equivalent [[defns.expression
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- If the decayed types of `E` and `F` differ,
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`compare_partial_order_fallback(E, F)` is ill-formed.
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- Otherwise, `partial_order(E, F)` if it is a well-formed expression.
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-
- Otherwise, if the expressions `E == F`
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well-formed and
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``` cpp
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E == F ? partial_ordering::equivalent :
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E < F ? partial_ordering::less :
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F < E ? partial_ordering::greater :
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partial_ordering::unordered
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```
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except that `E` and `F` are evaluated only once.
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- Otherwise, `compare_partial_order_fallback(E, F)` is ill-formed.
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### Comparison algorithms <a id="cmp.alg">[[cmp.alg]]</a>
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| 2 |
|
| 3 |
The name `strong_order` denotes a customization point object
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| 4 |
[[customization.point.object]]. Given subexpressions `E` and `F`, the
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| 5 |
expression `strong_order(E, F)` is expression-equivalent
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+
[[defns.expression.equivalent]] to the following:
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- If the decayed types of `E` and `F` differ, `strong_order(E, F)` is
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ill-formed.
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- Otherwise, `strong_ordering(strong_order(E, F))` if it is a
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+
well-formed expression where the meaning of `strong_order` is
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+
established as-if by performing argument-dependent lookup only
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+
[[basic.lookup.argdep]].
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- Otherwise, if the decayed type `T` of `E` is a floating-point type,
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yields a value of type `strong_ordering` that is consistent with the
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ordering observed by `T`’s comparison operators, and if
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`numeric_limits<T>::is_iec559` is `true`, is additionally consistent
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with the `totalOrder` operation as specified in ISO/IEC/IEEE 60559.
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- Otherwise, `strong_ordering(compare_three_way()(E, F))` if it is a
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well-formed expression.
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+
- Otherwise, `strong_order(E, F)` is ill-formed.
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+
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+
[*Note 1*: Ill-formed cases above result in substitution failure when
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+
`strong_order(E, F)` appears in the immediate context of a template
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+
instantiation. — *end note*]
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The name `weak_order` denotes a customization point object
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[[customization.point.object]]. Given subexpressions `E` and `F`, the
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expression `weak_order(E, F)` is expression-equivalent
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+
[[defns.expression.equivalent]] to the following:
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- If the decayed types of `E` and `F` differ, `weak_order(E, F)` is
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ill-formed.
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- Otherwise, `weak_ordering(weak_order(E, F))` if it is a well-formed
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+
expression where the meaning of `weak_order` is established as-if by
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+
performing argument-dependent lookup only [[basic.lookup.argdep]].
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- Otherwise, if the decayed type `T` of `E` is a floating-point type,
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yields a value of type `weak_ordering` that is consistent with the
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ordering observed by `T`’s comparison operators and `strong_order`,
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and if `numeric_limits<T>::is_iec559` is `true`, is additionally
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consistent with the following equivalence classes, ordered from lesser
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- together, all positive NaN values.
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- Otherwise, `weak_ordering(compare_three_way()(E, F))` if it is a
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well-formed expression.
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- Otherwise, `weak_ordering(strong_order(E, F))` if it is a well-formed
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expression.
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+
- Otherwise, `weak_order(E, F)` is ill-formed.
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+
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+
[*Note 2*: Ill-formed cases above result in substitution failure when
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+
`weak_order(E, F)` appears in the immediate context of a template
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+
instantiation. — *end note*]
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The name `partial_order` denotes a customization point object
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[[customization.point.object]]. Given subexpressions `E` and `F`, the
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expression `partial_order(E, F)` is expression-equivalent
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+
[[defns.expression.equivalent]] to the following:
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- If the decayed types of `E` and `F` differ, `partial_order(E, F)` is
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ill-formed.
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- Otherwise, `partial_ordering(partial_order(E, F))` if it is a
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+
well-formed expression where the meaning of `partial_order` is
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+
established as-if by performing argument-dependent lookup only
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+
[[basic.lookup.argdep]].
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- Otherwise, `partial_ordering(compare_three_way()(E, F))` if it is a
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well-formed expression.
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- Otherwise, `partial_ordering(weak_order(E, F))` if it is a well-formed
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expression.
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+
- Otherwise, `partial_order(E, F)` is ill-formed.
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+
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+
[*Note 3*: Ill-formed cases above result in substitution failure when
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+
`partial_order(E, F)` appears in the immediate context of a template
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instantiation. — *end note*]
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The name `compare_strong_order_fallback` denotes a customization point
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+
object [[customization.point.object]]. Given subexpressions `E` and `F`,
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the expression `compare_strong_order_fallback(E, F)` is
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+
expression-equivalent [[defns.expression.equivalent]] to:
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- If the decayed types of `E` and `F` differ,
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`compare_strong_order_fallback(E, F)` is ill-formed.
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- Otherwise, `strong_order(E, F)` if it is a well-formed expression.
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- Otherwise, if the expressions `E == F` and `E < F` are both
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+
well-formed and each of `decltype(E == F)` and `decltype(E < F)`
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+
models `boolean-testable`,
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``` cpp
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E == F ? strong_ordering::equal :
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E < F ? strong_ordering::less :
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strong_ordering::greater
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```
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except that `E` and `F` are evaluated only once.
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- Otherwise, `compare_strong_order_fallback(E, F)` is ill-formed.
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+
[*Note 4*: Ill-formed cases above result in substitution failure when
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+
`compare_strong_order_fallback(E, F)` appears in the immediate context
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+
of a template instantiation. — *end note*]
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+
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The name `compare_weak_order_fallback` denotes a customization point
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object [[customization.point.object]]. Given subexpressions `E` and `F`,
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the expression `compare_weak_order_fallback(E, F)` is
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+
expression-equivalent [[defns.expression.equivalent]] to:
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- If the decayed types of `E` and `F` differ,
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`compare_weak_order_fallback(E, F)` is ill-formed.
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- Otherwise, `weak_order(E, F)` if it is a well-formed expression.
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- Otherwise, if the expressions `E == F` and `E < F` are both
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+
well-formed and each of `decltype(E == F)` and `decltype(E < F)`
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+
models `boolean-testable`,
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``` cpp
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E == F ? weak_ordering::equivalent :
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E < F ? weak_ordering::less :
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weak_ordering::greater
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```
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except that `E` and `F` are evaluated only once.
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- Otherwise, `compare_weak_order_fallback(E, F)` is ill-formed.
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+
[*Note 5*: Ill-formed cases above result in substitution failure when
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+
`compare_weak_order_fallback(E, F)` appears in the immediate context of
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+
a template instantiation. — *end note*]
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+
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The name `compare_partial_order_fallback` denotes a customization point
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object [[customization.point.object]]. Given subexpressions `E` and `F`,
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the expression `compare_partial_order_fallback(E, F)` is
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+
expression-equivalent [[defns.expression.equivalent]] to:
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- If the decayed types of `E` and `F` differ,
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`compare_partial_order_fallback(E, F)` is ill-formed.
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- Otherwise, `partial_order(E, F)` if it is a well-formed expression.
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+
- Otherwise, if the expressions `E == F`, `E < F`, and `F < E` are all
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+
well-formed and each of `decltype(E == F)` and `decltype(E < F)`
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+
models `boolean-testable`,
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``` cpp
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E == F ? partial_ordering::equivalent :
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E < F ? partial_ordering::less :
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F < E ? partial_ordering::greater :
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partial_ordering::unordered
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```
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except that `E` and `F` are evaluated only once.
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- Otherwise, `compare_partial_order_fallback(E, F)` is ill-formed.
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+
[*Note 6*: Ill-formed cases above result in substitution failure when
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+
`compare_partial_order_fallback(E, F)` appears in the immediate context
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+
of a template instantiation. — *end note*]
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+
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