Logical superposition of values
A junction is an unordered composite value of zero or more values. Junctions autothread over many operations, which means that the operation is carried out for each junction element (also known as eigenstate), and the result is junction of the return values of all those operators.
Junctions collapse into a single value in boolean context, so when used in a conditional, a negation or an explicit coercion to Bool through the
? prefix operators. The semantics of this collapse depend on the junction type, which can be
|type||constructor||operator||True if ...|
|all||all||&||no value evaluates to False|
|any||any|||||at least one value evaluates to True|
|one||one||^||exactly one value evaluates to True|
|none||none||no value evaluates to True|
say so 3 == (1..30).one; # OUTPUT: «True␤»say so ("a" ^ "b" ^ "c") eq "a"; # OUTPUT: «True␤»
Junctions are very special objects. They fall outside the
Any hierarchy, being only, as any other object, subclasses of Mu. That enables a feature for most methods: autothreading. Autothreading happens when a junction is bound to a parameter of a code object that doesn't accept values of type
Junction. Instead of producing an error, the signature binding is repeated for each value of the junction.
my = 1|2;if 3 == + 1
First autothreads over the
infix:<+> operator, producing the Junction
2|3. The next autothreading step is over
infix:<==> , which produces
if conditional evaluates the junction in boolean context, which collapses it to
True. So the code prints
The type of a
Junction does not affect the number of items in the resultant
Junction after autothreading. For example, using a one
Junction during Hash key lookup, still results in a
Junction with several items. It is only in boolean context would the type of the
Junction come into play:
my = :42foo, :70bar;say :exists; # OUTPUT: «one(True, False)␤»say so :exists; # OUTPUT: «True␤»say :exists; # OUTPUT: «one(True, True)␤»say so :exists; # OUTPUT: «False␤»
Note that the compiler is allowed, but not required, to parallelize autothreading (and Junction behavior in general), so it is usually an error to autothread junctions over code with side effects.
Autothreading implies that the function that's autothreaded will also return a Junction of the values that it would usually return.
(1..3).head( 2|3 ).say; # OUTPUT: «any((1 2), (1 2 3))␤»
.head returns a list, the autothreaded version returns a
Junction of lists.
(1..3).contains( 2&3 ).say; # OUTPUT: «all(True, True)␤»
.contains returns a Boolean; thus, the autothreaded version returns a
Junction of Booleans. In general, all methods and routines that take an argument of type
T and return type
TT, will also accept junctions of
T, returning junctions of
Implementations are allowed to short-circuit Junctions. For example one or more routine calls (
c()) in the code below might not get executed at all, if the result of the conditional has been fully determined from routine calls already performed (only one truthy return value is enough to know the entire Junction is true):
if a() | b() | c()
Junctions are meant to be used as matchers in boolean context; introspection of junctions is not supported. If you feel the urge to introspect a junction, use a Set or a related type instead.
my = <1 2 "Great">;.append(True).append(False);my = grep Bool|Int, ;sub is_prime(Int ) returns Boolmy = grep & / 1$ /, 2..100;say ; # OUTPUT: «[11 31 41 61 71]␤»my = <~ .git>;for dir(".")
Special care should be taken when using
all with arguments that may produce an empty list:
my = ();say so all() # True, because there are 0 False's
To express "all, but at least one", you can use
@a && all(@a)
my = ();say so && all(); # OUTPUT: «False␤»
Negated operators are special-cased when it comes to autothreading.
$a !op $b is rewritten internally as
!($a op $b). The outer negation collapses any junctions, so the return value always a plain Bool.
my = 'yes';my = <no none never>;if !eq any
Note that without this special-casing, an expression like
$word ne any @words would always evaluate to
True for non-trivial lists on one side.
For this purpose,
infix:<ne> counts as a negation of
In general it is more readable to use a positive comparison operator and a negated junction:
my = 'yes';my = <no none never>;if eq none
Failures are just values like any other, as far as Junctions are concerned:
my = +any "not a number", "42", "2.1";(gather ».take).grep(Numeric).say; # OUTPUT: «(42 2.1)␤»
Above, we've used prefix
+ operator on a Junction to coerce the strings inside of it to Numeric. Since the operator returns a Failure when Str that doesn't contain a number gets coerced to
Numeric, one of the elements in the
Junction is a
Failure, but same
Failure rules as normal apply and the
Failure doesn't explode just because it's in a
Junction, and we can
.grep it out. The exception will be thrown, if you try to use the
Failure as a value—just like were this
Failure on its own and not part of the
my = +any "not a number", "42", "2.1";try say == 42;$! and say "Got exception: $!.^name()";# OUTPUT: «Got exception: X::Str::Numeric␤»
Note that if an exception gets thrown when any of the values in a Junction get computed, it will be thrown just as if the problematic value were computed on its own and not with a
Junction; you can't just compute the values that work while ignoring exceptions:
sub calc ()my = any 1..42;say try calc ; # OUTPUT: «Nil␤»
Only one value above causes an exception, but the result of the
try block is still a Nil. A possible way around it is to cheat and evaluate the values of the
Junction individually and then re-create the
Junction from the result:
sub calc ()my = any 1..42;= any (gather ».take).grep: ;say so == 42; # OUTPUT: «True␤»
Note that using
Junctions on the right-hand side of
~~ works slightly differently than using Junctions with other operators.
Consider this example:
say 25 == (25 | 42); # OUTPUT: «any(True, False)␤» – Junctionsay 25 ~~ (25 | 42); # OUTPUT: «True␤» – Bool
The reason is that
== (and most other operators) are subject to auto-threading, and therefore you will get a Junction as a result. On the other hand,
~~ will call
.ACCEPTS on the right-hand-side (in this case on a Junction) and the result will be a
multi method new(Junction: \values, Str :!)multi method new(Junction: Str \type, \values)
Constructor to define a new Junction from the type that defines de Junction and a set of values.
my = Junction.new(<Þor Oðinn Loki>, type => "all");my = Junction.new( "one", 1..6 )
multi method defined(Junction:)
Checks for definedness instead of Boolean values.
say ( 3 | Str).defined ; # OUTPUT: «True␤»say (one 3, Str).defined; # OUTPUT: «True␤»say (none 3, Str).defined; # OUTPUT: «False␤»
Failures are also considered non-defined:
my =Failure.new;say (one 3, ).defined; # OUTPUT: «True␤»
Since 6.d, this method will autothread.
multi method Bool(Junction:)
Junction and returns a single Boolean value according to the type and the values it holds. Every element is transformed to
my = Junction.new( "one", 1..6 );say .Bool; # OUTPUT: «False␤»
All elements in this case are converted to
True, so it's false to assert that only one of them is.
my = Junction.new( "one", <0 1> );say .Bool; # OUTPUT: «True␤»
Just one of them is truish in this case,
1, so the coercion to
multi method Str(Junction:)
.Str method over its elements and returns results as a Junction. Output methods that use
.Str method (print and put) are special-cased to autothread junctions, despite being able to accept a Mu type.
multi method gist(Junction:)
<a 42 c>.all.say; # OUTPUT: «all(a, 42, c)␤»
multi method perl(Junction:)
<a 42 c>.all.perl.put; # OUTPUT: «all("a", IntStr.new(42, "42"), "c")␤»
multi sub infix:<~>(Str , Junction )multi sub infix:<~>(Junction , Str )multi sub infix:<~>(Junction \a, Junction \b)
~ concatenation can be used to merge junctions into a single one or merge Junctions with strings. The resulting junction will have all elements merged as if they were joined into a nested loop:
my = 1|3|5;my = 2|4|6;my = ~ ;say ; #OUTPUT: «any(12, 14, 16, 32, 34, 36, 52, 54, 56)␤»say "Found 34!" if 34 == ; #OUTPUT: «Found 34!␤»my = "0" ~ ;say "Found 03" if "03" == ; #OUTPUT: «Found 03!␤»my = ~ "1";say "Found 11" if 11 == ; #OUTPUT: «Found 11!␤»
On the other hand, the versions of
~ that use a string as one argument will just concatenate the string to every member of the Junction, creating another Junction with the same number of elements.