Library
Module
Module type
Parameter
Class
Class type
Signal combinators.
Consult their semantics.
type 'a t = 'a signal
The type for signals of type 'a
.
val const : 'a -> 'a signal
const v
is always v
, [const v
]t = v
.
create i
is a primitive signal s
set to i
and a set
function. The function set
is such that:
set v
sets the signal's value to v
at the time it is called and triggers an update step.set ~step v
sets the signal's value to v
at the time it is called and updates it dependencies when step
is executedset ~step v
raises Invalid_argument
if it was previously called with a step and this step has not executed yet or if the given step
was already executed.Warning. set
must not be executed inside an update step.
val value : 'a signal -> 'a
value s
is s
's current value.
Warning. If executed in an update step may return a non up-to-date value or raise Failure
if the signal is not yet initialized.
val retain : 'a signal -> (unit -> unit) -> [ `R of unit -> unit ]
retain s c
keeps a reference to the closure c
in s
and returns the previously retained value. c
will never be invoked.
Raises. Invalid_argument
on constant signals.
val stop : ?strong:bool -> 'a signal -> unit
stop s
, stops updating s
. It conceptually becomes const
with the signal's last value and cannot be restarted. Allows to disable effectful signals.
The strong
argument should only be used on platforms where weak arrays have a strong semantics (i.e. JavaScript). See details.
Note. If executed in an update step the signal may still update in the step.
trace iff tr s
is s
except tr
is invoked with s
's current value and on s
changes when iff
is true
(defaults to S.const true
). For all t where [s
]t = v
and (t = 0 or ([s
]t-dt= v'
and eq v v' = false
)) and [iff
]t = true
, tr
is invoked with v
.
hold i e
has the value of e
's last occurrence or i
if there wasn't any.
hold i e
]t = i
if [e
]<=t = None
hold i e
]t = v
if [e
]<=t = Some v
app sf s
holds the value of sf
applied to the value of s
, [app sf s
]t =
[sf
]t [s
]t.
map f s
is s
transformed by f
, [map f s
]t = f
[s
]t.
filter f i s
is s
's values that satisfy p
. If a value does not satisfy p
it holds the last value that was satisfied or i
if there is none.
filter p s
]t =
[s
]t if p
[s
]t = true
.filter p s
]t =
[s
]t' if p
[s
]t = false
and t' is the greatest t' < t with p
[s
]t' = true
.filter p e
]t = i
otherwise.fmap fm i s
is s
filtered and mapped by fm
.
fmap fm i s
]t =
v if fm
[s
]t = Some v
.fmap fm i s
]t =
[fmap fm i s
]t' if fm
[s
]t = None
and t' is the greatest t' < t with fm
[s
]t' <> None
.fmap fm i s
]t = i
otherwise.diff f s
is an event with occurrences whenever s
changes from v'
to v
and eq v v'
is false
(eq
is the signal's equality function). The value of the occurrence is f v v'
.
diff f s
]t = Some d
if [s
]t = v
and [s
]t-dt = v'
and eq v v' = false
and f v v' = d
.diff f s
]t = None
otherwise.sample f e s
samples s
at e
's occurrences.
sample f e s
]t = Some (f ev sv)
if [e
]t = Some ev
and [s
]t = sv
.sample e s
]t = None
otherwise.on c i s
is the signal s
whenever c
is true
. When c
is false
it holds the last value s
had when c
was the last time true
or i
if it never was.
on c i s
]t =
[s
]t if [c
]t = true
on c i s
]t =
[s
]t' if [c
]t = false
where t' is the greatest t' < t with [c
]t' = true
.on c i s
]t =
i
otherwise.dismiss c i s
is the signal s
except changes when c
occurs are ignored. If c
occurs initially i
is used.
dismiss c i s
]t =
[s
]t' where t' is the greatest t' <= t with [c
]t' = None
and [s
]t'-dt <>
[s
]t'dismiss_ c i s
]0 =
v
where v = i
if [c
]0 = Some _
and v =
[s
]0 otherwise.accum e i
is S.hold i (
accum
e i)
.
fold f i e
is S.hold i (
E.fold
f i e)
.
merge f a sl
merges the value of every signal in sl
using f
and the accumulator a
.
[merge f a sl
]t = List.fold_left f a (List.map
[]t sl)
.
switch ss
is the inner signal of ss
.
switch ss
]t =
[[ss
]t]t.bind s sf
is switch (map ~eq:( == ) sf s)
.
fix i sf
allow to refer to the value a signal had an infinitesimal amount of time before.
In fix sf
, sf
is called with a signal s
that represents the signal returned by sf
delayed by an infinitesimal amount time. If s', r = sf s
then r
is returned by fix
and s
is such that :
s
]t =
i
for t = 0.s
]t =
[s'
]t-dt otherwise.eq
is the equality used by s
.
Raises. Invalid_argument
if s'
is directly a delayed signal (i.e. a signal given to a fixing function).
Note. Regarding values depending on the result r
of s', r = sf s
the following two cases need to be distinguished :
After sf s
is applied, s'
does not depend on a value that is in a step and s
has no dependents in a step (e.g in the simple case where fix
is applied outside a step).
In that case if the initial value of s'
differs from i
, s
and its dependents need to be updated and a special update step will be triggered for this. Values depending on the result r
will be created only after this special update step has finished (e.g. they won't see the i
of s
if r = s
).
r
will be created in the same step as s
and s'
(e.g. they will see the i
of s
if r = s
).Lifting combinators. For a given n
the semantics is :
[ln f a1
... an
]t = f [a1
]t ... [an
]t
The following modules lift some of Pervasives
functions and operators.
module Bool : sig ... end
module Int : sig ... end
module Float : sig ... end
module Pair : sig ... end
module Option : sig ... end
module Compare : sig ... end
Given an equality function equal
and a type t
, the functor Make
automatically applies the eq
parameter of the combinators. The outcome is combinators whose results are signals with values in t
.
Basic types are already specialized in the module Special
, open this module to use them.
Functor specializing the combinators for the given signal value type
module Special : sig ... end
Specialization for booleans, integers and floats.