Switching on float/double/long
Brian Goetz
brian.goetz at oracle.com
Thu Dec 14 20:44:52 UTC 2017
> I see no corresponding reason to delay longs. Instead, I see a pressing
> need to figure out the correct relation between switch (x) { case
> (byte)1; }
> where x might be a long or Long. I don't see a way to delay that
> decision.
As outlined in Gavin's note about many things (patterns, generics, null,
and primitives), I think there is a pretty good answer in there, which
is to (at least initially) forbid non-type-restating numeric constant
and primitive type test patterns. This gives us the freedom to stop
there, or expand in several directions regarding primitives (box-centric
vs value-set) without committing to either right now.
The fundamental problem with numeric literals is that while there's only
one way to convert 0.0d to Object (box to Double and widen), there are
many ways to convert 0 to Object (box to any of { Byte, Short, Integer,
Long, Character } and then widen). The language helpfully provides
automatic conversions so we are not irritated by being constantly asked
"which zero did you intend to assign to this int?" But this makes for
some real trouble when we try to define the semantics of things like "x
matches 0", when the static type of x is Object. Should we match all
of: (Byte) 0, (Short) 0, (Character) 0, (Integer) 0, (Long) 0, and maybe
even float and double? This adds a lot of complexity for very little
gain. Instead, we tell the user: "that's an imprecise question, please
ask it more precisely."
We already have defined semantics of what switch does when the switch
argument is a primitive or box, and the case label is a numeric
constant. So that question is answered. The new question is, what if
the switch argument is something broader, like Number or Object? And
the simple answer is: disallow numeric constant patterns here (with the
possible exception of manifestly typed constants, like 0.0f, which only
matches Float zero), because they're too imprecise.
Two observations:
- This won't happen very often; its rare that you know so little about
the type of a target, but are particularly concerned that it might be
the number seven.
- When it does happen, there are easy ways to delegate to existing
equality comparisons that are more explicit (such as type test patterns
with guards.)
For example:
Object o = ...
switch (o) {
case Integer n
where n == 7: ...
case Number n
where n.intValue() == 7: ...
}
So, we choose to take no heroic measures to try to decipher the
relationship between numeric constants and broadly-typed targets like
Number or Object. Give me more type information, and you get more
flexibility.
We do the same with primitive type test patterns; you don't get to say
"case int" in the above switch, lest you think that it might be testing
to see if the target is a boxed number that falls into the int value-set
range. Instead, you say "case Integer". If the target type is narrower
(say, Integer), then you can say "case int" because that's effectively
type-restating.
Returning to floating point, this means that we need only define
semantics of matching a floating-point context to something already
known to be a float.
On 12/13/2017 7:51 PM, John Rose wrote:
> Joe's points make perfect sense to me.
>
> Because of distinct problems with float, double, and reference operand
> types, the "==" operator of Java is a poor equivalence relation, so just
> referring the semantics of switch to op== is IMO a false start for
> defining
> switch. Switch-on-string has already broken with that false start, in the
> case of references, using Object.equals. A coherent way to break from
> op== on floats is to, also, refer to the closest possible Object.equals
> method, that on Float (and Double). Joe's proposal in fact appeals to
> the same standards, that of floatToIntBits.
>
> https://docs.oracle.com/javase/7/docs/api/java/lang/Float.html#equals(java.lang.Object)
> <https://docs.oracle.com/javase/7/docs/api/java/lang/Float.html#equals%28java.lang.Object%29>
>
> The most fine-grained equality relation that can be defined across all
> types does not have an API point, but it can be called "substitutability".
> For references substitutability is simply acmp, or op==(Object,Object).
> For floats, substitutability is approximated by equality on
> floatToIntBits,
> but defined rigorously by equality on floatToRawIntBits, which preserves
> distinctions among NaNs. Since those distinctions can be observed by
> code, two distinct NaNs cannot be said to be substitutable for each
> other.
>
> Joe's comparison, and that of Float.equals, is slightly more
> coarse-grained
> of an equivalence relation, because all the NaNs are grouped into a single
> cluster. I wish the designer of Float.equals had not stopped
> arbitrarily at
> NaN folding, and used floatToRawIntBits. But, given that history, I think
> when switch supports floats and doubles, it will use Joe's comparison.
>
> As Remi points out, suitable third-party extractors (or value type
> wrappers)
> can provide other relations besides Joe's default, either distinguishing
> NaNs or lumping zeroes. Perhaps even rejecting NaNs, since they aren't
> equal to themselves, supposedly.
>
> But we only get to set the default once. So perhaps we should delay
> supporting floats directly, until we can put all three or four float
> matching predicates in front of us and decide which is the default.
>
> I see no corresponding reason to delay longs. Instead, I see a pressing
> need to figure out the correct relation between switch (x) { case
> (byte)1; }
> where x might be a long or Long. I don't see a way to delay that
> decision.
>
> Backing up a bit, I prefer to evaluate match semantics in terms of
> assignment
> detection, rather than ad hoc equality predicates. If the story is
> only ad
> hoc, "if this type then this predicate" I am sure it will have more nasty
> corners than it needs. If it has an overarching principle, then I am sure
> it will have nasty corners (as with +0 and NaNs), but only a minimum
> of them. And the overarching principle I prefer for match is to ask the
> following polymorphic question: "Could a value just like this case
> expression have been assigned to that switch variable?" This, IMO,
> unwinds a lot of otherwise ad hoc special pleading. It does require
> some ad hoc definition of what "just like this" means, but the rest falls
> out of prior JLS semantics. Including the vexed questions which will
> be occurring to you, above, about Long vs. long vs. byte.
>
> — John
>
> On Dec 12, 2017, at 1:52 PM, Remi Forax <forax at univ-mlv.fr
> <mailto:forax at univ-mlv.fr>> wrote:
>>
>> While we could do that, use bits representation for float and double,
>> this is typically the kind of things that a user can also do with a
>> record (a value type record ?) and a deconstructor, so in my opinion,
>> we should not rush to implement this kind of switch given that we
>> will soon provide a general mechanism to implement them outside of
>> the JDK.
>>
>> Rémi
>>
>> ------------------------------------------------------------------------
>>
>> *De:*"Brian Goetz" <brian.goetz at oracle.com
>> <mailto:brian.goetz at oracle.com>>
>> *À:*"amber-spec-experts" <amber-spec-experts at openjdk.java.net
>> <mailto:amber-spec-experts at openjdk.java.net>>
>> *Envoyé:*Lundi 11 Décembre 2017 22:25:34
>> *Objet:*Switching on float/double/long
>>
>> A target of opportunity for the new switch JEP is to fill out the
>> set of types that traditional switches can operate on --
>> specifically float, double, and long. The reason that we don't
>> support these now is mostly an accident of history; the
>> `tableswitch` and `lookupswitch` opcodes are int-based, so the
>> compiler doesn't have a convenient target for translating these.
>> As you've seen from the recent notes on switch translation, we're
>> working towards using indy more broadly as a translation target
>> for most switch constructs. This makes it far easier to bust the
>> limitations on switch argument types, and so this has been listed
>> as a target of opportunity in the JEP (for both statement and
>> expression switches.)
>>
>> Our resident floating-point expert, Joe Darcy, offers the
>> following additional thoughts on the subject:
>>
>> -- Begin forwarded message
>>
>> Per a recent request from Brian, I've written a few thoughts
>> about switching on floating-point values.
>>
>> To address some common misunderstandings of floating-point, while
>> it is often recommended to*not*compare floating-point values for
>> equality, it is perfectly well-defined to do such comparisons, it
>> just might not do what you want
>>
>> For example, instead of
>>
>> // Infinite loop since sum stored in d never exactly equals
>> 1.0, doh!
>> while(d != 1.0)\u000B
>> d += 0.1;
>>
>> use either
>>
>> // Counted loop
>> for(int i = 0; i < 10; i++)\u000B
>> d += 0.1;
>>
>> or
>>
>> // Stop when numerical threshold is met
>> while(d <= 1.0)\u000B
>> d += 0.1;
>>
>> depending on the semantics the loop is trying to capture.
>>
>> I've attached a slide from my JVMLS talk this year to help
>> illustrate the semantic modeling going in in IEEE 754
>> floating-point. Each of the 232possible bit patterns of a float
>> is some floating-point value, likewise for the 264possible bit
>> patterns of a double. However, from a Java language or JVM
>> perspective, there are not 232or 264distinct values we need or
>> want to distinguish in most cases. In particular, we almost
>> always want to treat all bit patterns which encode a NaN as a
>> single conceptual NaN. Another wrinkle concerns zero: IEEE 754
>> has both a positive zero and a negative zero. Why are
>> there*two*zeros? Because there are two infinities. The signed
>> infinities and distinguished by divide (1.0/0.0 => +infinity,
>> 1.0/-0.0 => -infinity) and by various library functions.
>>
>> So we want to:
>>
>> * Allow every distinct finite nonzero floating-point value to
>> be the case of a switch.
>> * Allow -0.0 and +0.0 to be treated separately.
>> * Allow -infinity and +infinity to be treated separately.
>> * Collapse all NaN representation as a single value.
>>
>> For the "Rounding" mapping in the diagram which goes from the
>> extended real numbers to floating-point data, there is a nonempty
>> segment of the real number line which maps to a given
>> representable floating-point number. For example, besides the
>> string "1.0" mapping exactly to the reprentable floating-point
>> value 1.0, there is a region slightly small than 1
>> (0.99999999999999999999...) which will round up to 1.0 and a
>> region slightly larger than 1 (1.000000000000000001...) which
>> will round down to 1 from decimal -> binary conversion. This
>> would need to be factored into any distinctiveness requirements
>> for the different arms of the switch. In other words
>>
>> case 1.000000000000000001:
>> ....
>> case 0.99999999999999999999
>> ...
>>
>> would need to be rejected just as
>>
>> case 0:
>> ....
>> case 00:
>>
>> is rejected.
>>
>> In terms of JDK 9 structures and operations, the following
>> transformation of a float switch has what I think are reasonable
>> semantics:
>>
>> Replace each float case label y in the source with an int
>> label resulting from floatToIntBits(y). Note that floatToIntBits
>> is used for the mapping rather than floatToRawIntBits since we
>> want NaNs to be grouped together.
>>
>> Instead of switching on float value x, switch on
>> floatToIntBits(x).
>>
>> HTH,
>>
>> -Joe
>>
>
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