FinnAPL idiom library: Difference between revisions

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1,221 bytes added ,  11:20, 5 November 2019
→‎Idiom Library Listing: More source tags in headers
Miraheze>Adám Brudzewsky
(^ to ∧)
Miraheze>Marshall
(→‎Idiom Library Listing: More source tags in headers)
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=== Scan ⌈\ ⌊\ ×\ -\ ===
=== Scan <source lang=apl inline>⌈\</source> <source lang=apl inline>⌊\</source> <source lang=apl inline>×\</source> <source lang=apl inline>-\</source> ===
{|class=wikitable style="background-color: #EBEBEB"
{|class=wikitable style="background-color: #EBEBEB"
|rowspan=2|338. || Groups of ones in Y pointed to by X (or trailing parts) ||style="text-align: right;"|<source lang=apl inline>X←B; Y←B</source>
|rowspan=2|338. || Groups of ones in Y pointed to by X (or trailing parts) ||style="text-align: right;"|<source lang=apl inline>X←B; Y←B</source>
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|}
|}


=== Scan ⍲\ <\ ≤\ ≠\ ===
=== Scan <source lang=apl inline>⍲\</source> <source lang=apl inline><\</source> <source lang=apl inline>≤\</source> <source lang=apl inline>≠\</source> ===
{|class=wikitable style="background-color: #EBEBEB"
{|class=wikitable style="background-color: #EBEBEB"
|rowspan=2|346. || Value of saddle point ||style="text-align: right;"|<source lang=apl inline>X←D2</source>
|rowspan=2|346. || Value of saddle point ||style="text-align: right;"|<source lang=apl inline>X←D2</source>
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|}
|}


=== Scan ∨\ ∧\ ===
=== Scan <source lang=apl inline>∨\</source> <source lang=apl inline>∧\</source> ===
{|class=wikitable style="background-color: #EBEBEB"
{|class=wikitable style="background-color: #EBEBEB"
|rowspan=2|360. || Removing leading and trailing blanks ||style="text-align: right;"|<source lang=apl inline>X←C1</source>
|rowspan=2|360. || Removing leading and trailing blanks ||style="text-align: right;"|<source lang=apl inline>X←C1</source>
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|}
|}


=== Scan +\ ===
=== Scan <source lang=apl inline>+\</source> ===
{|class=wikitable style="background-color: #EBEBEB"
{|class=wikitable style="background-color: #EBEBEB"
|rowspan=2|378. || Vector (<source lang=apl inline>X[1]⍴1),(Y[1]⍴0),(X[2]⍴1),...</source> ||style="text-align: right;"|<source lang=apl inline>X←I1; Y←I1</source>
|rowspan=2|378. || Vector (<source lang=apl inline>X[1]⍴1),(Y[1]⍴0),(X[2]⍴1),...</source> ||style="text-align: right;"|<source lang=apl inline>X←I1; Y←I1</source>
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|}
|}


=== Reduction ○/ ÷/ -/ ×/ ===
=== Reduction <source lang=apl inline>○/</source> <source lang=apl inline>÷/</source> <source lang=apl inline>-/</source> <source lang=apl inline>×/</source> ===
{|class=wikitable style="background-color: #EBEBEB"
{|class=wikitable style="background-color: #EBEBEB"
|rowspan=2|411. || Complementary angle (arccos sin X) ||style="text-align: right;"|<source lang=apl inline>X←D0</source>
|rowspan=2|411. || Complementary angle (arccos sin X) ||style="text-align: right;"|<source lang=apl inline>X←D0</source>
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|}
|}


=== Reduction ⌈/ ⌊/ ===
=== Reduction <source lang=apl inline>⌈/</source> <source lang=apl inline>⌊/</source> ===
{|class=wikitable style="background-color: #EBEBEB"
{|class=wikitable style="background-color: #EBEBEB"
|rowspan=2|425. || Test if all elements of vector X are equal ||style="text-align: right;"|<source lang=apl inline>X←D1</source>
|rowspan=2|425. || Test if all elements of vector X are equal ||style="text-align: right;"|<source lang=apl inline>X←D1</source>
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|}
|}


=== Reduction ∨/ ⍲/ ≠/ ===
=== Reduction <source lang=apl inline>∨/</source> <source lang=apl inline>⍲/</source> <source lang=apl inline>≠/</source> ===
{|class=wikitable style="background-color: #EBEBEB"
{|class=wikitable style="background-color: #EBEBEB"
|rowspan=2|436. || Test if all elements of vector X are equal ||style="text-align: right;"|<source lang=apl inline>X←B1</source>
|rowspan=2|436. || Test if all elements of vector X are equal ||style="text-align: right;"|<source lang=apl inline>X←B1</source>
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|}
|}


=== Reduction ∧/ ===
=== Reduction <source lang=apl inline>∧/</source> ===
{|class=wikitable style="background-color: #EBEBEB"
{|class=wikitable style="background-color: #EBEBEB"
|rowspan=2|447. || Number of areas intersecting areas in X ||style="text-align: right;"|<source lang=apl inline>X←D3 (n × 2 × dim)</source>
|rowspan=2|447. || Number of areas intersecting areas in X ||style="text-align: right;"|<source lang=apl inline>X←D3 (n × 2 × dim)</source>
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|}
|}


=== Reduction +/ ===
=== Reduction <source lang=apl inline>+/</source> ===
{|class=wikitable style="background-color: #EBEBEB"
{|class=wikitable style="background-color: #EBEBEB"
|rowspan=2|462. || Standard deviation of X ||style="text-align: right;"|<source lang=apl inline>X←D1</source>
|rowspan=2|462. || Standard deviation of X ||style="text-align: right;"|<source lang=apl inline>X←D1</source>
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|}
|}


=== Reverse ⌽ <source lang=apl inline>⊖</source> ===
=== Reverse <source lang=apl inline></source> <source lang=apl inline>⊖</source> ===
{|class=wikitable style="background-color: #EBEBEB"
{|class=wikitable style="background-color: #EBEBEB"
|rowspan=2|478. || Scan from end with function <source lang=apl inline>⍺</source> ||style="text-align: right;"|<source lang=apl inline>X←A</source>
|rowspan=2|478. || Scan from end with function <source lang=apl inline>⍺</source> ||style="text-align: right;"|<source lang=apl inline>X←A</source>
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|}
|}


=== Rotate ⌽ <source lang=apl inline>⊖</source> ===
=== Rotate <source lang=apl inline></source> <source lang=apl inline>⊖</source> ===
{|class=wikitable style="background-color: #EBEBEB"
{|class=wikitable style="background-color: #EBEBEB"
|rowspan=2|488. || Vector (cross) product of vectors ||style="text-align: right;"|<source lang=apl inline>X←D; Y←D</source>
|rowspan=2|488. || Vector (cross) product of vectors ||style="text-align: right;"|<source lang=apl inline>X←D; Y←D</source>
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|}
|}


=== Maximum ⌈ Minimum <source lang=apl inline>⌊</source> ===
=== Maximum <source lang=apl inline></source> Minimum <source lang=apl inline>⌊</source> ===
{|class=wikitable style="background-color: #EBEBEB"
{|class=wikitable style="background-color: #EBEBEB"
|rowspan=2|520. || Limiting X between Y[1] and Y[2], inclusive ||style="text-align: right;"|<source lang=apl inline>X←D; Y←D1</source>
|rowspan=2|520. || Limiting X between Y[1] and Y[2], inclusive ||style="text-align: right;"|<source lang=apl inline>X←D; Y←D1</source>
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|}
|}


=== Ceiling ⌈ Floor <source lang=apl inline>⌊</source> ===
=== Ceiling <source lang=apl inline></source> Floor <source lang=apl inline>⌊</source> ===
{|class=wikitable style="background-color: #EBEBEB"
{|class=wikitable style="background-color: #EBEBEB"
|rowspan=2|527. || Reshaping X into a matrix of width Y ||style="text-align: right;"|<source lang=apl inline>X←D, Y←I0</source>
|rowspan=2|527. || Reshaping X into a matrix of width Y ||style="text-align: right;"|<source lang=apl inline>X←D, Y←I0</source>
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|}
|}


=== Magnitude |, Signum <source lang=apl inline>×</source> ===
=== Magnitude <source lang=apl inline>|</source>, Signum <source lang=apl inline>×</source> ===
{|class=wikitable style="background-color: #EBEBEB"
{|class=wikitable style="background-color: #EBEBEB"
|rowspan=2|554. || Increasing absolute value without change of sign ||style="text-align: right;"|<source lang=apl inline>X←D; Y←D</source>
|rowspan=2|554. || Increasing absolute value without change of sign ||style="text-align: right;"|<source lang=apl inline>X←D; Y←D</source>
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|}
|}


=== Expand \ <source lang=apl inline>⍀</source> ===
=== Expand <source lang=apl inline>\</source> <source lang=apl inline>⍀</source> ===
{|class=wikitable style="background-color: #EBEBEB"
{|class=wikitable style="background-color: #EBEBEB"
|rowspan=2|558. || Not first zero (≤\) in each subvector of Y indicated by X ||style="text-align: right;"|<source lang=apl inline>X←B1; Y←B1</source>
|rowspan=2|558. || Not first zero (≤\) in each subvector of Y indicated by X ||style="text-align: right;"|<source lang=apl inline>X←B1; Y←B1</source>
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|}
|}


=== Compress / <source lang=apl inline>⌿</source> ===
=== Compress <source lang=apl inline>/</source> <source lang=apl inline>⌿</source> ===
{|class=wikitable style="background-color: #EBEBEB"
{|class=wikitable style="background-color: #EBEBEB"
|rowspan=2|570. || Lengths of groups of ones in X ||style="text-align: right;"|<source lang=apl inline>X←B1</source>
|rowspan=2|570. || Lengths of groups of ones in X ||style="text-align: right;"|<source lang=apl inline>X←B1</source>
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|}
|}


=== Logical Functions ~ ∨ ∧ ⍱ <source lang=apl inline>⍲</source> ===
=== Logical Functions <source lang=apl inline>~</source> <source lang=apl inline></source> <source lang=apl inline></source> <source lang=apl inline></source> <source lang=apl inline>⍲</source> ===
{|class=wikitable style="background-color: #EBEBEB"
{|class=wikitable style="background-color: #EBEBEB"
|rowspan=2|661. || Demote non-boolean representations to booleans ||style="text-align: right;"|<source lang=apl inline>X←B</source>
|rowspan=2|661. || Demote non-boolean representations to booleans ||style="text-align: right;"|<source lang=apl inline>X←B</source>
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|}
|}


=== Comparison <≤> <source lang=apl inline>≠</source> ===
=== Comparison <source lang=apl inline><≤></source> <source lang=apl inline>≠</source> ===
{|class=wikitable style="background-color: #EBEBEB"
{|class=wikitable style="background-color: #EBEBEB"
|rowspan=2|669. || X implies Y ||style="text-align: right;"|<source lang=apl inline>X←B; Y←B</source>
|rowspan=2|669. || X implies Y ||style="text-align: right;"|<source lang=apl inline>X←B; Y←B</source>
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|}
|}


=== Indexing [ <source lang=apl inline>]</source> ===
=== Indexing <source lang=apl inline>[ ]</source> ===
{|class=wikitable style="background-color: #EBEBEB"
{|class=wikitable style="background-color: #EBEBEB"
|rowspan=2|702. || Value of fixed-degree polynomial Y at points X ||style="text-align: right;"|<source lang=apl inline>Y←D1; X←D</source>
|rowspan=2|702. || Value of fixed-degree polynomial Y at points X ||style="text-align: right;"|<source lang=apl inline>Y←D1; X←D</source>
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|}
|}


=== Arithmetic + - × <source lang=apl inline>÷</source> ===
=== Arithmetic <source lang=apl inline>+</source> <source lang=apl inline>-</source> <source lang=apl inline>×</source> <source lang=apl inline>÷</source> ===
{|class=wikitable style="background-color: #EBEBEB"
{|class=wikitable style="background-color: #EBEBEB"
|rowspan=2|724. || Continued fraction ||style="text-align: right;"|<source lang=apl inline></source>
|rowspan=2|724. || Continued fraction ||style="text-align: right;"|<source lang=apl inline></source>
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