APL\360: Difference between revisions

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→‎Primitives: Use 1968 contributed program version
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(→‎Primitives: Use 1968 contributed program version)
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== Primitives ==
== Primitives ==
APL\360 evolved rapidly during its early development within IBM and more slowly as it became available to outside users. Here we show the primitives described in its [http://www.softwarepreservation.org/projects/apl/Manuals/APL360CONTRIBUTEDPROGRAMLIBRARY/view documentation] in 1968 when it was first released as a stand-alone product (a [[wikipedia:IBM Type-III Library|Type-III Library]]). Later additions include [[Matrix Inverse]] and [[Matrix Divide]]; [[Execute]], [[Format]], and [[Scan]] introduced by [[APL.SV]]; and an [[Function axis|axis]] and [[Laminate]] form for the [[Catenate]] function.


=== Functions ===
=== Functions ===
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| <source lang=apl inline>÷</source> || [[Reciprocal]]        || [[Divide]]
| <source lang=apl inline>÷</source> || [[Reciprocal]]        || [[Divide]]
|-
|-
| <source lang=apl inline>|</source> || [[Magnitude]]         || [[Residue]]
| <source lang=apl inline></source> || [[Ceiling]]           || [[Maximum]]
|-
|-
| <source lang=apl inline>⌊</source> || [[Floor]]            || [[Minimum]]
| <source lang=apl inline>⌊</source> || [[Floor]]            || [[Minimum]]
|-
|-
| <source lang=apl inline></source> || [[Ceiling]]           || [[Maximum]]
| <source lang=apl inline>*</source> || [[Exponential]]       || [[Power]]
|-
|-
| <source lang=apl inline>?</source> || [[Roll]]             || [[Deal]]
| <source lang=apl inline></source> || [[Natural logarithm]] || [[Logarithm]]
|-
|-
| <source lang=apl inline>*</source> || [[Exponential]]       || [[Power]]
| <source lang=apl inline>|</source> || [[Magnitude]]         || [[Residue]]
|-
|-
| <source lang=apl inline></source> || [[Natural logarithm]] || [[General logarithm]]
| <source lang=apl inline>?</source> || [[Roll]]             || [[Deal]]
|-
|-
| <source lang=apl inline>○</source> || [[Pi times]]          || [[Circle function|Circular, hyperbolic, and pythagorean functions]]
| <source lang=apl inline>○</source> || [[Pi times]]          || [[Circle function|Circular]]
|-
|-
| <source lang=apl inline>!</source> || [[Factorial]]        || [[Binomial]]
| <source lang=apl inline>!</source> || [[Factorial]]        || [[Binomial coefficient]]
|-
|-
| <source lang=apl inline>~</source> || [[Not]]              ||
| <source lang=apl inline>~</source> || [[Not]]              ||
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| <source lang=apl inline>≠</source> ||                      || [[Not equal]]
| <source lang=apl inline>≠</source> ||                      || [[Not equal]]
|-
|-
| <source lang=apl inline>⍴</source> || [[Shape|Shape of]]   || [[Reshape]]
| <source lang=apl inline>⍴</source> || [[Shape|Size]]       || [[Reshape]]
|-
|-
| <source lang=apl inline>,</source> || [[Ravel]]            || [[Catenate|Catenate, Laminate]] (allows axis)
| <source lang=apl inline>,</source> || [[Ravel]]            || [[Catenate]]
|-
|-
| <source lang=apl inline></source> ||rowspan=2| [[Reverse]]<br>(allows axis) ||rowspan=2| [[Rotate]]<br>(allows axis)
| <source lang=apl inline>[]</source>||                       || [[Indexing]]
|-
|-
| <source lang=apl inline></source>
| <source lang=apl inline></source> || [[Index generator]]  || [[Index of]]
|-
| <source lang=apl inline>⍉</source> ||colspan=2| [[Transpose]]
|-
|-
| <source lang=apl inline>↑</source> ||                      || [[Take]]
| <source lang=apl inline>↑</source> ||                      || [[Take]]
|-
|-
| <source lang=apl inline>↓</source> ||                      || [[Drop]]
| <source lang=apl inline>↓</source> ||                      || [[Drop]]
|-
| <source lang=apl inline>⍋</source> || [[Grade up]]  (allows axis) ||
|-
| <source lang=apl inline>⍒</source> || [[Grade down]] (allows axis) ||
|-
|-
| <source lang=apl inline>/</source> ||                      ||rowspan=2| [[Compress]]<br>(allows axis)
| <source lang=apl inline>/</source> ||                      ||rowspan=2| [[Compress]]<br>(allows axis)
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| <source lang=apl inline>⍀</source> ||
| <source lang=apl inline>⍀</source> ||
|-
|-
| <source lang=apl inline>[]</source>||                       || [[Indexing]]
| <source lang=apl inline></source> ||rowspan=2| [[Reverse]]<br>(allows axis) ||rowspan=2| [[Rotate]]<br>(allows axis)
|-
| <source lang=apl inline>⊖</source>
|-
|-
| <source lang=apl inline></source> || [[Index generator]]  || [[Index of]]
| <source lang=apl inline></source> ||colspan=2| [[Transpose]]
|-
|-
| <source lang=apl inline>∊</source> ||                      || [[Membership]]
| <source lang=apl inline>∊</source> ||                      || [[Membership]]
|-
| <source lang=apl inline>⍋</source> || [[Grade up]]          ||
|-
| <source lang=apl inline>⍒</source> || [[Grade down]]        ||
|-
| <source lang=apl inline>⌹</source> || [[Matrix inverse]]    || [[Matrix division]]
|-
|-
| <source lang=apl inline>⊥</source> ||                      || [[Decode]]
| <source lang=apl inline>⊥</source> ||                      || [[Decode]]
|-
|-
| <source lang=apl inline>⊤</source> ||                      || [[Encode]]
| <source lang=apl inline>⊤</source> ||                      || [[Encode]]
|-
| <source lang=apl inline>⍎</source> ||                      || [[Execute]]
|-
| <source lang=apl inline>⍕</source> || [[Monadic format]]    || [[Dyadic format]]
|}
|}


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|-
|-
| <source lang=apl inline>⌿</source>  || Monadic ||
| <source lang=apl inline>⌿</source>  || Monadic ||
|-
| <source lang=apl inline>\</source>  || Monadic ||rowspan=2| [[Scan]]<br>(allows axis)      ||
|-
| <source lang=apl inline>⍀</source>  || Monadic ||
|-
|-
| <source lang=apl inline>.</source>  || Dyadic  ||                        || [[Inner product]]
| <source lang=apl inline>.</source>  || Dyadic  ||                        || [[Inner product]]

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