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Daniel Hillerström
2021-02-15 15:50:59 +00:00
parent ace6a5b37c
commit 12e24d7051
1 changed files with 17 additions and 16 deletions
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thesis.tex
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@@ -7792,25 +7792,26 @@ process in order to let another process run.
The main idea is to use the state cell of a parameterised handler to
manage the process queue and to keep track of the return values of
completed processes. The scheduler will return the list of values when
there are no more processes to be run. The process queue will consist
of reified processes, which we will represent using parameterised
resumptions. To make the type signatures understandable we will make
use of three mutually recursive type aliases.
completed processes. The scheduler will return an association list of
process identifiers mapped to the return value of their respective
process when there are no more processes to be run. The process queue
will consist of reified processes, which we will represent using
parameterised resumptions. To make the type signatures understandable
we will make use of three mutually recursive type aliases.
%
\[
\ba{@{~}l@{~}l@{~}c@{~}l}
\Proc &\alpha~\varepsilon &\defas& \Sstate~\alpha~\varepsilon \to \List~\alpha \eff \varepsilon\\
\Proc &\alpha~\varepsilon &\defas& \Sstate~\alpha~\varepsilon \to \List\,\Record{\Int;\alpha} \eff \varepsilon\\
\Pstate &\alpha~\varepsilon &\defas& [\Ready:\Proc~\alpha~\varepsilon;\Blocked:\Record{\Int;\Proc~\alpha~\varepsilon}]\\
\Sstate &\alpha~\varepsilon &\defas& \Record{q:\List\,\Record{\Int;\Pstate~\alpha~\varepsilon};done:\List~\alpha;pid:\Int;pnext:\Int}\\
\ea
\]
%
The $\Proc$ alias is the type of reified processes. It is defined as a
function that takes the current scheduler state and returns a list of
$\alpha$s. This is almost the type of a parameterised resumption as
the only thing missing is the a component for the interpretation of an
operation.
function that takes the current scheduler state and returns an
association list of $\alpha$s indexed by integers. This is almost the
type of a parameterised resumption as the only thing missing is the a
component for the interpretation of an operation.
%
The second alias $\Pstate$ enumerates the possible process
states. Either a process is \emph{ready} to be run or it is
@@ -7821,12 +7822,12 @@ being waited on and the second component is the process to be
continued when the other process has completed.
%
The third alias $\Sstate$ is the type of scheduler state. It is a
quadruple, where the label $q$ is the process queue. It is implemented
as an association list indexed by process identifiers. The label
$done$ is used to store the return values of completed processes. The
label $pid$ is used to remember the identifier of currently executing
process, and finally $pnext$ is used to compute a unique identifier
for new processes.
quadruple, where the first label $q$ is the process queue. It is
implemented as an association list indexed by process identifiers. The
second label $done$ is used to store the return values of completed
processes. The third label $pid$ is used to remember the identifier of
currently executing process, and the fourth label $pnext$ is used to
compute a unique identifier for new processes.
We will abstract some of the scheduling logic into an auxiliary
function $\runNext$, which is responsible for dequeuing and running