# 7 Expressions [expr]

## 7.6 Compound expressions [expr.compound]

### 7.6.8 Three-way comparison operator [expr.spaceship]

The three-way comparison operator groups left-to-right.
```compare-expression:
shift-expression
compare-expression <=> shift-expression
```
The expression p <=> q is a prvalue indicating whether p is less than, equal to, greater than, or incomparable with q.
If one of the operands is of type bool and the other is not, the program is ill-formed.
If both operands have arithmetic types, or one operand has integral type and the other operand has unscoped enumeration type, the usual arithmetic conversions are applied to the operands.
Then:
• If a narrowing conversion is required, other than from an integral type to a floating-point type, the program is ill-formed.
• Otherwise, if the operands have integral type, the result is of type std​::​strong_­ordering.
The result is std​::​strong_­ordering​::​equal if both operands are arithmetically equal, std​::​strong_­ordering​::​less if the first operand is arithmetically less than the second operand, and std​::​strong_­ordering​::​greater otherwise.
• Otherwise, the operands have floating-point type, and the result is of type std​::​partial_­ordering.
The expression a <=> b yields std​::​partial_­ordering​::​less if a is less than b, std​::​partial_­ordering​::​greater if a is greater than b, std​::​partial_­ordering​::​equivalent if a is equivalent to b, and std​::​partial_­ordering​::​unordered otherwise.
If both operands have the same enumeration type E, the operator yields the result of converting the operands to the underlying type of E and applying <=> to the converted operands.
If at least one of the operands is of pointer type and the other operand is of pointer or array type, array-to-pointer conversions ([conv.array]), pointer conversions ([conv.ptr]), and qualification conversions are performed on both operands to bring them to their composite pointer type ([expr.type]).
After the conversions, the operands shall have the same type.
Note
:
If both of the operands are arrays, array-to-pointer conversions are not applied.
— end note
]
If the composite pointer type is an object pointer type, p <=> q is of type std​::​strong_­ordering.
If two pointer operands p and q compare equal ([expr.eq]), p <=> q yields std​::​strong_­ordering​::​equal; if p and q compare unequal, p <=> q yields std​::​strong_­ordering​::​less if q compares greater than p and std​::​strong_­ordering​::​greater if p compares greater than q ([expr.rel]).
Otherwise, the result is unspecified.
Otherwise, the program is ill-formed.
The three comparison category types ([cmp.categories]) (the types std​::​strong_­ordering, std​::​weak_­ordering, and std​::​partial_­ordering) are not predefined; if the header <compare> ([compare.syn]) is not imported or included prior to a use of such a class type – even an implicit use in which the type is not named (e.g., via the auto specifier in a defaulted three-way comparison or use of the built-in operator) – the program is ill-formed.