Indexing: Difference between revisions

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     <table border="0" cellpadding="5" cellspacing="0" summary="">
     <table border="0" cellpadding="5" cellspacing="0" summary="">
     <tr>
     <tr>
       <td><apll>Z←R[L]</apll>, <apll>R[L]←A</apll>, and <apll>R[L]<i>f</i>←A</apll></td>
       <td valign="top"><apll>Z←R[L]</apll>, <apll>R[L]←A</apll>, and <apll>R[L]<i>f</i>←A</apll></td>
       <td></td>
       <td></td>
       <td></td>
       <td></td>
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     <table border="0" cellpadding="5" cellspacing="0" summary="">
     <table border="0" cellpadding="5" cellspacing="0" summary="">
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       <td><apll>Z←R[L]</apll>, <apll>R[L]←A</apll>, <apll>R[L]<i>f</i>←A</apll>, <apll>L⌷R</apll>, and <apll>L⊃R</apll></td>
       <td valign="top"><apll>Z←R[L]</apll>, <apll>R[L]←A</apll>, <apll>R[L]<i>f</i>←A</apll>, <apll>L⌷R</apll>, and <apll>L⊃R</apll></td>
       <td></td>
       <td></td>
       <td></td>
       <td></td>

Revision as of 20:22, 7 May 2008

Z←R[L], R[L]←A, and R[L]f←A are all extended to allow both Reach and Scatter indexing.
L is a nested array of integer scalars and/or vectors, suitable for indexing R.
R is an arbitrary array.
A is an arbitrary array.
Reach Indexing: If L⊃R is valid, it is equivalent to ⊃R[⊂L]
Scatter Indexing: If L⌷R is valid, it is equivalent to R[⊃∘.,/L]
Both Reach and Scatter indexing may appear together within a single instance of R[L], R[L]←A, and R[L]f←A


For example, in origin-1

      V←'123'(⊂4 5)
      V[1 (2 ⍬ 1)]
 123 4


Z←R[L], R[L]←A, R[L]f←A, L⌷R, and L⊃R are all extended to allow negative index values.
L is a nested array of integer scalars and/or vectors, suitable for indexing R.
That is, if the largest allowed index value is N, then the previous allowable range of values was ⎕IO to N, inclusive. Now, the allowable range of values is 1 ¯1[1]-N to N, inclusive. For example, A, A[⍳⍴A], A[⍳-⍴A], and even A[⍳¯1 1[?(⍴⍴A)⍴2]×⍴A] are all identical for any array A in either origin.
R is an arbitrary array.
A is an arbitrary array.


For example, in origin-1

      V←'123'(⊂4 5)
      V[¯1 (0 ⍬ ¯1)]
 123 4