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From NARS2000
Revision as of 19:41, 13 April 2008 by Sudleyplace (talk  contribs)


L is an array of rank > 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 rank > 1 left arguments. 
For example, in origin1
M←2 3⍴'abcdef'
M⍳'afg'
1 1 2 3 3 4
M[M⍳'af']
af
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
∇