NAME

ParaSeq - Parallel execution of Iterables

SYNOPSIS

use ParaSeq;

# The 1-millionth prime number: 15485863
say (^Inf).&hyperize.grep(*.is-prime)[999999];
say (^Inf).&hyperize.grep(*.is-prime).skip(999999).head;

# Fetching lines of files, each element containing a List of lines
my @lines = @filenames.&hyperize(1, :!auto).map(*.IO.lines.List);
my %lines = @filenames.&racify(1, :!auto).map: { $_ => .IO.lines.List }

DESCRIPTION

ParaSeq provides the functional equivalent of hyper and race, but re-implemented from scratch with all of the experience from the initial implementation of hyper and race in 2014, and using features that have since been added to the Raku Programming Language.

As such it exports two subroutines hyperize and racify, to make them plug-in compatible with the hyperize distribution.

STATUS

This module is now considered to be in BETA, as all features mentioned in the IMPROVEMENTS section have been implemented.

SUBROUTINES

hyperize

# The 1-millionth prime number using subroutine syntax: 15485863
say hyperize(^Inf).grep(*.is-prime)[999999];

# Start with 2000 element batches, and use max 10 workers
say (^Inf).&hyperize(2000, 10).grep(*.is-prime)[999999];

# Always work with a batch-size of 1
my @lines = @filenames.&hyperize(1, :!auto).map(*.lines.List);

Change the given Iterable into a ParaSeq object if the following conditions have been met:

• degree is more than 1

If the number of simultaneous workers is set to 1, there is no real parallelizetion possible. In which case hyperize will simply return its first argument (the invocant when used with the .&hyperize syntax).

• source is not exhausted with first batch

If the first batch already exhausts the source iterator, then there is little point in parallelizing. A Seq that will reproduce the original source sequence will then be returned.

ARGUMENTS

• source

The first positional argument indicates the Iterable source of values to be processed. If the .&hyperize syntax is used, this is the invocant.

• initial batch size

The second positional argument indicates the initial batch size to be used. It defaults to 16. Will also assume the default if an undefined value is specified.

• maximum number of simultaneous workers

The third positional argument indicates the maximum number of worker threads that can be activated to process the values of the source. It defaults to the number of available CPUs minus 1. Will also assume the defailt if an undefined value is specified.

• :auto / :!auto

Flag. Defaults to True. If specified with a False value, then the batch size will not be altered from the size (implicitely) specified with the second positional argument.

• :catch / :!catch

Flag. Defaults to True. If specified with a False value, then any exception that is thrown by any of the parallel worker threads, will be re-thrown immediately, rather than being presented on STDERR at the end of the process.

racify

my %lines = @filenames.&racify(1, :!auto).map: { $_ => .IO.lines.List }

There is very little functional difference between hyperize and racify. The only difference is that while hyperize will guarantee that the order of the produced values is the same as their source values, racify does not offer such a guarantee.

From a performance point of view, racify may be a few percent faster than hyperize, but one should generally not use it for that reason.

One situation to use racify over hyperize is when any results are expected as soon as they become available, without waiting for any results from a previous batch being delivered.

One should also note that the use of the last statement in a grep or map may produce random results, as delivery of produced values is halted after the batch that was produced while the last statement was executed, has been delivered.

ENDPOINT METHODS

These methods return a single value that could be considered a reduction of the hypered iteration. In alphabetical order:

are

Because the .are method is already highly optimized, adding specific hypering would only slow down execution. So no specific hypering support has been added.

categorize

Because the .categorize method produces a Hash, putting together the Hash results of each batch in a correct manner, would be very complicated and potentially CPU intensive. Therefore, no specific hypering logic has been added for this method at this point.

classify

Because the .classify method produces a Hash, putting together the Hash results of each batch in a correct manner, would be very complicated and potentially CPU intensive. Therefore, no specific hypering logic has been added for this method at this point.

elems

An optimized version of the .elems method has been implemented.

end

An optimized version of the .end method has been implemented.

first

The .first method is supported without any specific hypering support added as it turned out to be impossible to make it faster.

head

An optimized version of the .head method without any arguments (as an endpoint), has been implemented.

join

An optimized version of the .join method has been implemented.

max

The .max method, when called without any named arguments, provides the maximum value without any specific hypering.

min

The .min method, when called without any named arguments, provides the minimum value without any specific hypering.

minmax

An optimized version of the .minmax method has been implemented.

reduce

An optimized version of the .reduce method has been implemented.

Caveat: will only produce the correct results if the order of the values is not important to determine the final result.

sum

An optimized version of the .sum method has been implemented.

tail

An optimized version of the .tail method without any arguments (as an endpoint), has been implemented.

INTERFACE METHODS

These methods produce another ParaSeq object that will keep the parallelization information so that the possibility for parallelization is used whenever possible.

In alphabetical order:

antipairs

An optimized version of the .antipairs method has been implemented.

batch

An optimized version of the .batch method has been implemented.

collate

The nature of the .collate method basically makes it impossible to hyper. Therefore, no specific hypering logic has been added for this method.

combinations

The nature of the .combinations method basically makes it impossible to hyper. Therefore, no specific hypering logic has been added for this method.

deepmap

An optimized version of the .deepmap method has been implemented.

Caveat: to catch any execution of last, the ParaSeq module exports its own last subroutine. This means that any mapper code will either have to live within the scope in which the use ParaSeq command is executed, to ensure proper last handling in a hypered .deepmap.

duckmap

An optimized version of the .duckmap method has been implemented.

Caveat: to catch any execution of last, the ParaSeq module exports its own last subroutine. This means that any mapper code will either have to live within the scope in which the use ParaSeq command is executed, to ensure proper last handling in a hypered .duckmap.

Caveat: due to the way duckmap was implemented before the 2024.06 release of Rakudo, the LEAVE phaser would get called for every value attempted. This has since been fixed, so that the ENTER and LEAVE phasers are only called if the Callable is actually invoked.

flat

The .flat method is already very simple, and adding hypering overhead would do just that: add overhead. Therefore, no specific hypering logic has been added for this method.

flatmap

No specific support for the .flatmap method has been added, as its core implementation will do the right thing on ParaSeq objects as well.

grep

An optimized version of the .grep method has been implemented.

Caveat: if a last statement is executed, it will ensure that no further values will be delivered. However, this may not stop other threads immediately. So any other phasers, such as ENTER, and LEAVE may still get executed, even though the values that were produced, will not be delivered.

Caveat: to catch any execution of last, the ParaSeq module exports its own last subroutine. This means that any matcher code will either have to live within the scope in which the use ParaSeq command is executed, to ensure proper last handling in a hypered .grep.

head

The .head method is already very simple, and adding hypering overhead would do just that: add overhead. Therefore, no specific hypering logic has been added for this method.

invert

The nature of the .invert method basically makes it impossible to hyper. Therefore, no specific hypering logic has been added for this method.

keys

The .keys method is already very simple, and adding hypering overhead would do just that: add overhead. Therefore, no specific hypering logic has been added for this method.

kv

An optimized version of the .kv method has been implemented.

map

An optimized version of the .map method has been implemented.

Caveat: due to a bug in Rakudo until 2024.06 release, any FIRST phaser will be run at the start of each batch. This can be worked around by using the $, the nameless state variable:

@am.&hyperize.map({ FIRST say "first" unless $++; 42 });

Caveat: if a last statement is executed, it will ensure that no further values will be delivered. However, this may not stop other threads immediately. So any other phasers, such as ENTER, LEAVE and NEXT may still get executed, even though the values that were produced, will not be delivered.

Caveat: to catch any execution of last, the ParaSeq module exports its own last subroutine. This means that any mapper code will either have to live within the scope in which the use ParaSeq command is executed, to ensure proper last handling in a hypered .map.

max

An optimized version of the .max method with named arguments, has been implemented.

maxpairs

An optimized version of the .maxpairs method has been implemented.

min

An optimized version of the .min method with named arguments, has been implemented.

minpairs

An optimized version of the .minpairs method has been implemented.

nodemap

An optimized version of the .nodemap method has been implemented.

Caveat: to catch any execution of last, the ParaSeq module exports its own last subroutine. This means that any mapper code will either have to live within the scope in which the use ParaSeq command is executed, to ensure proper last handling in a hypered .nodemap.

pairs

An optimized version of the .pairs method has been implemented.

pairup

The nature of the pairup method basically makes it impossible to hyper. Therefore, no specific hypering logic has been added for this method.

permutations

The nature of the .permutations method basically makes it impossible to hyper. Therefore, no specific hypering logic has been added for this method.

pick

The nature of the .pick method basically makes it impossible to hyper. Therefore, no specific hypering logic has been added for this method.

produce

The nature of the .produce method basically makes it impossible to hyper. Therefore, no specific hypering logic has been added for this method.

repeated

The nature of the .repeated method basically makes it impossible to hyper. Therefore, no specific hypering logic has been added for this method.

reverse

The nature of the .reverse method basically makes it impossible to hyper. Therefore, no specific hypering logic has been added for this method.

roll

The nature of the .roll method basically makes it impossible to hyper. Therefore, no specific hypering logic has been added for this method.

rotate

The nature of the .rotate method basically makes it impossible to hyper. Therefore, no specific hypering logic has been added for this method.

rotor

An optimized version of the .rotor method has been implemented for the single argument non-Pair case. All other cases are basically too complicated to hyper, and therefore have no specific hypering logic.

skip

The simple cases of .skip() and .skip(N) are handled by skipping that amount on the result iterator and returning the invocant.

The nature of the other types of arguments on the .skip method basically makes it impossible to hyper. Therefore, no specific hypering logic has been added for these cases.

slice

The nature of the .slice method basically makes it impossible to hyper. Therefore, no specific hypering logic has been added for this method.

snip

The nature of the .snip method basically makes it impossible to hyper. Therefore, no specific hypering logic has been added for this method.

snitch

Since it doesn't make much sense for the .snitch method to be called on the ParaSeq object as a whole, calling the .snitch method instead activates snitcher logic on the ParaSeq object itself. If set, the snitcher code will be called for each input buffer before being scheduled (in a threadsafe manner). The snitcher code will receive this buffer as a List.

sort

The nature of the .sort method basically makes it impossible to hyper. Therefore, no specific hypering logic has been added for this method.

squish

An optimized version of the .squish method has been implemented if either a :as named argument has been specified, or a :with named argument with something other than the === operator has been specified. The default case of the .squish method is already highly optimized so it doesn't make any sense to add any hypering logic for that case.

tail

The nature of the .tail method basically makes it impossible to hyper. Therefore, no specific hypering logic has been added for this method.

toggle

The nature of the .toggle method basically makes it impossible to hyper. Therefore, no specific hypering logic has been added for this method.

unique

An optimized version of the .unique method has been implemented.

Caveat: using the :with option with an operator that checks for inequality, may produce erroneous results.

values

The .values is basically a no-op, so it returns the invocant for simplicity.

COERCERS

The following coercers have been optimized as much as possible with the use of &hyperize. Note that these methods are optimized for speed, rather than memory usage. Should you want to optimize for memory usage, then put in a .Seq coercer first. Or remove .&hyperize completely. So:

my $speed  = (^1_000_000).&hyperize.Set;      # optimized for speed
my $memory = (^1_000_000).&hyperize.Seq.Set;  # optimized for memory
my $none   = (^1_000_000).Seq.Set;            # no parallelization

In alphabetical order:

Array

The Array coercer has been implemented: it removes all hypering information from its invocant.

Bag

Putting together the Bag of each batch in a correct manner, would be complicated and potentially CPU intensive. Therefore, no specific hypering logic has been added for this coercer at this point.

BagHash

Putting together the BagHash of each batch in a correct manner, would be complicated and potentially CPU intensive. Therefore, no specific hypering logic has been added for this coercer at this point.

Bool

An optimized version of the Bool coercer has been implemented.

eager

The .eager method is functionally the same as the .List, and has been implemented as such.

Hash

Putting together the Hash of each batch in a correct manner, would be complicated and potentially CPU intensive. Therefore, no specific hypering logic has been added for this coercer at this point.

Int

An optimized version of the Int coercer has been implemented.

IterationBuffer

The IterationBuffer coercer collects the result of the invocant in an IterationBuffer and returns that.

list

The list coercer is implemented: it creates a List object with the object's iterator as its "todo" (so no elements are reified until they are actually demanded). And thus removes all hypering information.

List

The List coercer has been implemented: it creates a fully reified List and thus removes all hypering information.

Map

Putting together the Map of each batch in a correct manner, would be complicated and potentially CPU intensive. Therefore, no specific hypering logic has been added for this coercer at this point.

Mix

Putting together the Mix of each batch in a correct manner, would be complicated and potentially CPU intensive. Therefore, no specific hypering logic has been added for this coercer at this point.

MixHash

Putting together the MixHash of each batch in a correct manner, would be complicated and potentially CPU intensive. Therefore, no specific hypering logic has been added for this coercer at this point.

Numeric

An optimized version of the Int coercer has been implemented.

Seq

The Seq coercer has been implemented: it removes all hypering information from its invocant.

serial

The .serial method is functionally the same as the .Seq, and has been implemented as such.

Set

Putting together the Set of each batch in a correct manner, would be complicated and potentially CPU intensive. Therefore, no specific hypering logic has been added for this coercer at this point.

SetHash

Putting together the SetHash of each batch in a correct manner, would be complicated and potentially CPU intensive. Therefore, no specific hypering logic has been added for this coercer at this point.

Slip

The Slip coercer has been implemented: it removes all hypering information from its invocant.

Str

An optimized version of the Str coercer has been implemented.

PUBLIC CLASSES

ParaSeq

The class of which an instance is returned by hyperize and racify if the requirements for parallelizing have been met.

Can be used in any situation where a Seq could also be used. The following additional methods can also be called for introspection and debugging. In alphabetical order:

auto

Bool. Returns whether batch sizes will be automatically optimized to provide the best throughput.

batch-sizes

Range. The smallest and largest batch size as a Range.

catch

Bool. Returns whether exceptions in parallel worker threads will be caught.

default-batch

say ParaSeq.default-batch;     # 16

ParaSeq.default-batch = 1024;
say ParaSeq.default-batch;     # 1024

Int. The default initial batch size: currently 16. Can also be used to change the default batch size by assigning to it.

default-degree

say ParaSeq.default-degree;      # 7

ParaSeq.default-degree = 3;
say ParaSeq.defaultdegreebatch;  # 3

Int. The default maximum number of worker threads to be used. Currently set to the number of available CPUs minus one. Can also be used to change the default maximum number of worker threads by assigning to it.

exceptions

Bag. Returns a Bag of exceptions that were caught in parallel processing so far, keyed to the .gist of the execution error (and the value being the number of times they occurred).

By default, any caught exceptions will be printed on STDERR at the end of the process. Calling this method effectively clears the caught exceptions, so that it can also be used to inhibit showing any execution errors.

hyper

Change hypering settings on invocant and returns invocant. Takes the same arguments as &hyperize. Additionally takes a :racing named argument, to indicate racing or hypering semantics.

is-lazy

Bool. Returns whether the ParaSeq iterator should be considered lazy or not. It will be considered lazy if the source iterator is lazy.

processed

Int. The number of items processed, as obtained from the stats.

produced

Int. The number of items produced, as obtained from the stats.

racing

Bool. Returns True if racing (aka, parallelizing without taking care of the order in which values will be delivered). Else False.

stats

A List of ParaStats objects that were produced, in the order that they were produced. Note that due to the asynchronous nature of stats production and processing, this may be incomplete at any given time.

threads

Returns a List of the IDs of the CPU threads that have been used to produce the result.

ParaStats

The ParaStats class is created for each batch that has been processed. It provides the following methods (in alphabetical order):

nsecs

Int. The number of nano-seconds that it took to process all values in the associated batch.

ordinal

Int. The ordinal number of the associated batch (starting at 0).

processed

Int. The number of values processed in the associated batch (aka the batch size of that batch).

produced

Int. The number of values that were produced in the associated batch. This can be 0, or a higher value than processed when .map was called with a Callable that produced Slip values.

smoothed-nsecs

Int. The number of nano-seconds that it took to process all values in the associated batch, corrected for any Garbage Collection cycles.

threadid

Int. The numerical ID of low-level thread that processed the associated batch (aka its $*THREAD.id).

IMPROVEMENTS

Automatic batch size adaptation

One of the main issues with the current implemementation of .hyper and .race in the Rakudo core is that the batch size is fixed. Worse, there is no way to dynamically adapt the batch size depending on the load.

Batch sizes that are too big, have a tendency to not use all of the CPUs (because they have a tendency to eat all of the source items too soon, thus removing the chance to start up more threads).

Batch sizes that are too small, have a tendency to have their resource usage drowned out by the overhead of batching and dispatching to threads.

This implementation automatically adapts batch sizes from the originally (implicitely) specified batch size for better throughput and resource usage. If this feature is not desired, the :!auto argument can be used to switch automatic batch size adjustment off.

Unnecessary parallelization

If the degree specified is 1, then there is no point in batching or parallelization. In that case, this implementation will take itself completely out of the flow.

Alternately, if the initial batch size is large enough to exhaust the source, it is clearly too large. Which is interpreted as not making any sense at parallelization either. So it won't.

Note that the default initial batch size is 16, rather than 64 in the current implementation of .hyper and .race, making the chance smaller that parallelization is abandoned too soon.

Infectiousness

The .serial method or .Seq coercer can be typically be used to "unhyper" a hypered sequence. However many other interface methods do the same in the current implementation of .hyper and .race, thereby giving the impression that the flow is still parallelized. When in fact they aren't anymore.

Also, hyperized sequences in the current implementation are considered to be non-lazy, even if the source is lazy.

This implementation aims to make all interface methods pass on the hypered nature and laziness of the sequence.

Loop control statements

Some loop control statements may affect the final result. Specifically the last statement does. In the current implementation of .hyper and .race, this will only affect the batch in which it occurs.

This implementation aims to make last stop any processing of current and not create anymore batches.

Support more interface methods

Currently only the .map and .grep methods are supported by the current implementation of .hyper and .race (and not even completely). Complete support for .map and .grep are provided, and other methods (such as .first) will also be supported.

Use of phasers

When an interface method takes a Callable, then that Callable can contain phasers that may need to be called (or not called) depending on the situation. The current implementation of .hyper and .race do not allow phasers at all.

This implementation aims to support phasers in a sensible manner:

ENTER

Called before each iteration.

FIRST

Called on the first iteration in the first batch.

NEXT

Called at the end of each iteration.

LAST

Called on the last iteration in the last batch. Note that this can be short-circuited with a last control statement.

LEAVE

Called after each iteration.

THEORY OF OPERATION

A description of the program logic when you call .&hyperize on an object.

Step 1: is degree > 1

If the degree is 1, then there's nothing to parallelize. The &hyperize sub will return its first argument. Since .&hyperize will most likely mostly be called as a method, the first argument will be described as the "invocant".

Step 2: fetch the initial batch

Obtain an iterator from the invocant and read as many items into an IterationBuffer as the initial batch size indicates. If this exhausted the source iterator, then return a Seq on that IterationBuffer. This also effectively inhibits any parallelization.

Step 3: create a ParaSeq

If step 1 and 2 didn't result in a premature return, then a ParaSeq object is created and returned. Apart from the initial IterationBuffer and source iterator, it also contains:

• the initial batch size

• the degree (max number of worker threads)

• the "auto" flag

• the $*SCHEDULER value

Step 4: an interface method is called

Each interface method decides whether they can support an optimized hypered operation. If does not support hypered operation, a special BufferIterator is created. This iterator takes the buffer and the source iterator from step 2, that will first deliver the values from the buffer, and then the values from the source iterator (until that is exhausted).

The following step then depends on whether the method is an endpoint (such as max) or a coercer (such as Str). If it is, then the BufferIterator will be wrapped in a standard Seq object and the core equivalent of that method will be called on it and its result returned.

If it is an other interface method, then a clone of the original invocant is created with the BufferIterator object as its source iterator. And that is then returned.

If the method can be parallized, then we continue.

Step 5: check granularity of initial batch

Some methods (such as map and grep) may require more than 1 value per iteration (the granularity). Batches need to have a size with the correct granularity, otherwise processing a batch may fail at the last iteration for lack of positional arguments.

So read additional values from the source iterator until the granularity is correct.

Step 6: keep producers in check

One of the issues with hypering, is that multiple threads can easily produce so many values that the deliverer can be overwhelmed in the worst case. Or at least, it could be wasteful in resources because it would produce way more values than would actually need to be delivered. For example:

say (^Inf).&hyperize.map(*.is-prime)[999999];  # the millionth prime number

One would not want the parallelization to calculate 1.2 million prime numbers while only needing 1 million. Yet, this will happen quite easily if there is not enough "back pressure".

So the thread delivering values, needs to be able to tell the batcher when it is ok to schedule another batch for processing. This is done through a ParaQueue object (a low-level blocking concurrent queue to which the delivering thread will push whenever it has delivered the results of a result batch. Since "back pressure queue" is a bit of a mouthful, this is being referred to as the "pressure queue".

The deliverer is also responsible for telling the batcher what it thinks the best size for the next batch is. See Step 6.

To get things started, a pressure queue is set up with various batch sizes (one for each degree) so that maximally that many threads can be started. By using variable sizes, the delivery iterator can more quickly decide what the optimum size is for the given workload because the different batch sizes produce different average time needed per processed value. Which is used to calculate the optimum batch size.

Step 7: set up the result queue

The result queue is where all of the worker threads post the result of processing their batch. The result queue is a ParaQueue of ParaQueues. Whenever the batcher is told that it may queue up the next batch, the batcher also pushes a new ParaQueue object to the result queue and passes that ParaQueue object to the worker thread. So that when the worker thread is done processing, it can push its result to that ParaQueue.

The ParaQueue that is pushed to the result queue by the batcher ensures that the order in which batches of work are handed out, will also be the order in which the results will be delivered. The fact that the result of processing is pushed to this ParaQueue itself, makes the deliverer block until the worker thread has pushed its result (even if other threads may have been ready earlier).

Step 8: set up the waiting queue

To communicate back performance statistics from a worker thread finishing their work, another ParaQueue is created. Its sole purpose is to collect all ParaStats objects that each worker thread has completed as soon as they are done. It basically also represents the number of result batches that are waiting to be delivered: hence the name "waiting queue".

This queue is inspected by the delivery thread whenever it has completed delivery of a batch. It's possible that this queue is empty. It can also contain the statistics of more than one worker thread.

Step 9: start the batcher thread

The batcher thread keeps running until the source iterator is exhausted. When it is exhausted, it pushes an IterationEnd to the result queue, indicating that no more batches will be coming. It's the only time a non-ParaQueue object is pushed to the result queue.

The batcher is basically a loop that blocks on the messages from the deliverer. Whenever a message is received (with the proposed batch size, calculated from any available performance statistics), it adjusts for correct granularity (as the deliverer is unaware of any granularity restrictions). The batcher then fetches that many values from the source iterator and schedules another job for a worker thread with the values obtained (if any).

Step 10: start delivering

At this point a ParaIterator object is created and installed as the (result) .iterator of the invocant. The paralellizing logic in the hypered variant of the method is started, which then in turn starts feeding the ParaIterator.

It is then up to the code that iterators over the (result) iterator to consume the values delivered. If no values are being delivered, production of values will halt after all inital "degree" batches have been produced.

When the deliverer is done with a result batch, it removes all available statistics information and adds these to the stats of the ParaSeq object. It also uses this information to calculate an optimum batch size for any other batches to be processed (unless this is inhibited by the :!auto named argument to .&hyperize).

The algorithm for batch size calculation is pretty simple at the moment. To allow for optimum responsiveness of the program, as well as any other processes running on the computer, a time slice of 1_000_000 nanoseconds (aka 1 millisecond) has been chosen.

If a batch took almost exactly that amount of time to produce values, then the size of that batch is assumed to be the optimum size. If the batch took longer, then the batch size should be reduced. If the batch took less than that to complete, then the batch size should be increased.

Decision tree

  source
   \- hyperize
       |- invocant (degree == 1)
       |- Seq      (source exhausted with initial batch)
       |- ParaSeq
           \- method call
               |- endpoint
               |- coercer
               |- hypering

Hypering control flow

    /---------------------------------------------------------\
    |                |                                        |
    |               ⬇                                         |
    |         --------------                 ------------     |
    |         | statistics |         /-----⮕ | producer | ⮕ -|
    |         --------------        /        ------------     |
    ⬇               ⬇             /                          |
-----------    ------------    -----------   ------------     |
| results | ⮕ | deliverer | ⮕ | batcher | ⮕ | producer | ⮕ -|
-----------    ------------    -----------   ------------     |
                    |              \                          |
                    |               \        ------------     |
                    |                \-----⮕ | producer | ⮕ -/
                    ⬇                        ------------
                 values
          consumed by program

AUTHOR

Elizabeth Mattijsen liz@raku.rocks

Source can be located at: https://github.com/lizmat/ParaSeq . Comments and Pull Requests are welcome.

If you like this module, or what I’m doing more generally, committing to a small sponsorship would mean a great deal to me!

COPYRIGHT AND LICENSE

Copyright 2024 Elizabeth Mattijsen

This library is free software; you can redistribute it and/or modify it under the Artistic License 2.0.