Partition: Difference between revisions
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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]]. | ||
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): | |||
<source lang=apl> | |||
1 1 2 2 2 2 2⊆'HiEarth' | |||
┌──┬─────┐ | |||
│Hi│Earth│ | |||
└──┴─────┘ | |||
</source> | |||
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> | |||
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: | |||
<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> | |||
{{APL built-ins}} | {{APL built-ins}} |
Revision as of 10:44, 27 January 2020
⊆ ⊂
|
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 ⊆
to distinguish Partition from Partitioned Enclose (which is always ⊂
), but the actual glyph used varies by dialect.
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):
1 1 2 2 2 2 2⊆'HiEarth' ┌──┬─────┐ │Hi│Earth│ └──┴─────┘
Right argument elements can be skipped by having their corresponding left argument element be 0:
1 1 2 2 2 0 0⊆'HiEarth' ┌──┬───┐ │Hi│Ear│ └──┴───┘
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:
1 1 1 0 1 1 1 0 1 1 1 1⊆'How are you?' ┌───┬───┬────┐ │How│are│you?│ └───┴───┴────┘ ' '(≠⊆⊢)'How are you?' ┌───┬───┬────┐ │How│are│you?│ └───┴───┴────┘