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{{Built-ins|Partition|⊆|⊂}} is a [[dyadic function]] . | {{Built-ins|Partition|⊆|⊂}} is a [[dyadic function]] which splits its right argument into differently sized pieces as determined by the non-negative integer left argument. This article uses <source lang=apl inline>⊆</source> to distinguish Partition from [[Partitioned Enclose]] (which is always <source lang=apl inline>⊂</source>), but the actual [[glyph]] used [[Migration level|varies by dialect]]. | ||
{{APL built-ins}} | On a vector right argument, the arguments must have the same length with each element in the left argument corresponding to an element in the right argument. Partition begins a new '''division''' of its right argument whenever a left argument element is greater than its neighbour on the left (with a 0 assumed to the left of the first element): | ||
[https://tio.run/##SyzI0U2pTMzJT9dNrShJzUtJTfn/qLdP/VHf1GBXvZRHbROqNQxtH3UufNS7S/NRx/JHvWvAnC1AvhVQEVABkJWSVqJg8Ki7BSKQkllcABSshQgAjdEAUuHB6uquZal5JerqGurqwanFxZn5eQFFmSABBXX1FHV1zUddi4EKnSOBvLS8YqCA@v///w0VDBWMYPBRV5u6R6ZrYlFJhjoA Try it online!] | |||
<source lang=apl> | |||
1 1 2 2 2 2 2⊆'HiEarth' | |||
┌──┬─────┐ | |||
│Hi│Earth│ | |||
└──┴─────┘ | |||
</source> | |||
{{Works in|[[Dyalog APL]]}} | |||
Right argument elements can be skipped by having their corresponding left argument element be 0: | |||
<source lang=apl> | |||
1 1 2 2 2 0 0⊆'HiEarth' | |||
┌──┬───┐ | |||
│Hi│Ear│ | |||
└──┴───┘ | |||
</source> | |||
{{Works in|[[Dyalog APL]]}} | |||
In the case where the left argument is [[Boolean]], Partition splits its right argument on runs of 0s in the left argument, allowing a very short split-on-delimiter function: | |||
[https://tio.run/##SyzI0U2pTMzJT9dNrShJzUtJTfn/qLdP/VHf1GBXvZRHbROqNQxtH3UufNS7S/NRx/JHvWvAnC1AvhVQEVABkJWSVqJg8Ki7BSKQkllcABSshQgAjdEAUuHB6uquZal5JerqGurqwanFxZn5eQFFmSABBXX1FHV1zUddi4EKnSOBvLS8YqCA@v///w0VQNBAAZU2fNTVpu6RX66QWJSqUJlfaq/OBTRF41HnAqDEo65FmqiSAA Try it online!] | |||
<source lang=apl> | |||
1 1 1 0 1 1 1 0 1 1 1 1⊆'How are you?' | |||
┌───┬───┬────┐ | |||
│How│are│you?│ | |||
└───┴───┴────┘ | |||
' '(≠⊆⊢)'How are you?' | |||
┌───┬───┬────┐ | |||
│How│are│you?│ | |||
└───┴───┴────┘ | |||
</source> | |||
{{Works in|[[Dyalog APL]]}} | |||
== See also == | |||
* [[Partitioned Enclose]] | |||
* [[Cut (K)]] | |||
* [[Partition representations]] | |||
==External links== | |||
===Tutorials=== | |||
* [https://chat.stackexchange.com/rooms/52405/conversation/lesson-7-apl-functions-#41436171 APL Cultivation] | |||
===Documentation=== | |||
* [https://help.dyalog.com/latest/index.htm#Language/Primitive%20Functions/Partition.htm Dyalog] | |||
* [http://microapl.com/apl_help/ch_020_020_590.htm APLX] | |||
{{APL built-ins}}[[Category:Primitive functions]] | |||