Unthinkingly I wrote some code to check that all the values of a struct were set to 0. To accomplish this I used:
bool IsValid() {
return !(0 == year == month == day == hour == minute == second);
}
where all struct members were of type unsigned short. I used the code as part of a larger test but noticed that it was returning false for values differing from zero, and true for values that were all equal to zero - the opposite of what I expected.
I changed the code to read:
bool IsValid() {
return (0 != year) || (0 != month) || (0 != day) || (0 != hour) || (0 != minute) || (0 != second);
}
But would like to know what caused the odd behaviour. Is it a result of precedence? I've tried to Google this answer but found nothing, if there's any nomenclature to describe the result I'd love to know it.
I compiled the code using VS9 and VS8.
==
groups from left to right, so if all values are zero then:
0 == year // true
(0 == year) == month // false, since month is 0 and (0 == year) converts to 1
((0 == year) == month) == day // true
And so on.
In general, x == y == z
is not equivalent to x == y && x == z
as you seem to expect.
The behaviour shouldn't be seen as odd. The grammar rules for ==
(and most but not all binary operators) specify left to right grouping so your original expression is equivalent to:
!((((((0 == year) == month) == day) == hour) == minute) == second)
Note that when compared to an integer type a bool
expression with value true
will promote to 1
and with value false
will promote to 0
. (In C the result of the equality operator is an int
in any case with a value or either 1
or 0
.)
This means that, for example, ((0 == year) == month)
will be true if year
is zero and month
is one or if year
is non-zero but month
is zero and false otherwise.
You have to consider how it's evaluated...
a == b == c
is asking if two of them are equal (a
and b
), then comparing that boolean result to the third value c
! It is NOT comparing the first two values with the third. Anything beyond 2 arguments won't chain as you evidently expect.
For whatever it's worth, because C++ considers non-0 values to be "true" in a boolean context, you can express what you want simply as:
return year && month && day && hour && minute && second;
(note: your revised code says "month" twice and doesn't test minute).
Back to the chained ==
s: with user-defined types and operator overloading you can create a class that compares as you expect (and it can even allow things like 0 <= x < 10
to "work" in the way it's read in mathematics), but creating something special will just confuse other programmers who already know the (weird) way these things work for builtin types in C++. Worth doing as a ten/twenty minute programming exercise though if you're keen to learn C++ in depth (hint: you need the comparison operators to return a proxy object that remembers what will be the left-hand-side value for the next comparison operator).
Finally, sometimes these "weird" boolean expressions are useful: for example, a == b == (c == d)
might be phrased in English as "either (a == b) and (c == d), OR (a != b) and (c != d)", or perhaps "the equivalence of a and b is the same as the equivalence of c and d (whether true or false doesn't matter)". That might model real world situations like a double-dating scenario: if a likes/dislikes b (their date) as much as c likes/dislikes d, then they'll either hang around and have a nice time or call it quits quickly and it's painless either way... otherwise one couple will have a very tedious time of it.... Because these things can make sense, it's impossible for the compiler to know you didn't intend to create such an expression.
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