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From NARS2000
Revision as of 22:33, 15 April 2018 by Sudleyplace (talk  contribs)


L is an array of rank not equal 1.  
R is an arbitrary array.  
Z is a nested array of shape ⍴R whose items are each integer vectors of length ⍴⍴L, suitable for use as indices to L, except for where the item in R is not found in L, in which case the corresponding item in Z is ⎕IO+⍴L.  
This feature extends dyadic iota to nonvector left arguments.  
This function is sensitive to ⎕IO and ⎕CT. 
For example, in origin1
M←2 3⍴'abcdef' M⍳'afg' 1 1 2 3 3 4 M[M⍳'af'] af L←2 ⋄ ⎕FMT L⍳⍳3 ┌3──────────┐ │┌0┐ ┌0┐ ┌0┐│ ││0│ │0│ │0││ │└~┘ └~┘ └~┘2 └∊──────────┘
Note that this extension preserves the identity R≡L[L⍳R] for all R⊆L.
This extension is implemented via an internal magic function:
∇ Z←L #DydIota R;⎕IO;O [1] O←⎕IO ⋄ ⎕IO←0 [2] Z←⊂[0] O+(1+⍴L)⊤(¯1↓,(1+⍴L)↑L)⍳R ∇