Difference between revisions of "SubIndex"

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Returns the value from index «I» at which the value «u» is found in array «A».  If «u» does not occur in «A», returns [[Null]].  If «u» occurs more than once in «A», returns the value in «I» corresponding to the last occurrence of «u».
 
Returns the value from index «I» at which the value «u» is found in array «A».  If «u» does not occur in «A», returns [[Null]].  If «u» occurs more than once in «A», returns the value in «I» corresponding to the last occurrence of «u».
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[[SubIndex]] is the inverse of [[SubScript]].  While [[SubScript]] maps from the index value to the array element, [[SubIndex]] maps from the array element to the index value.  [[SubIndex]] is not as efficient as [[SubScript]] -- while [[SubScript]] makes use of a hash-table for constant-time associative lookup, [[SubIndex]] must search the array each time for the indicated value, which takes linear time relative to the size of the array.
  
 
= Library =
 
= Library =

Revision as of 17:55, 31 December 2008


SubIndex(A,u,I)

Returns the value from index «I» at which the value «u» is found in array «A». If «u» does not occur in «A», returns Null. If «u» occurs more than once in «A», returns the value in «I» corresponding to the last occurrence of «u».

SubIndex is the inverse of SubScript. While SubScript maps from the index value to the array element, SubIndex maps from the array element to the index value. SubIndex is not as efficient as SubScript -- while SubScript makes use of a hash-table for constant-time associative lookup, SubIndex must search the array each time for the indicated value, which takes linear time relative to the size of the array.

Library

Array Functions

Array Abstraction

When «A» has more than one dimension, or «u» is an array, SubIndex array abstracts according to the standard rules of array abstraction. For example, when «A» contains an index other than I, SubIndex is applied to each slice of that index, returning the position of «u» in the corresponding slice. When «u» contains an array of values, the position of each of those values in «A» is returned.

Examples

Let:

I → 'a' 'b' 'c' 'd' 'e' 'f'
A → 4 3 2 5 3 1
      
B I
'a' 'b' 'c' 'd' 'e' 'f'
J 1 3 5 2 4 5 3
2 2 1 5 2 3 4
      
K → 1 2 3 4 5
C → 4 2 5 1 3

Then:

SubIndex(A,2,I) → 'c'
SubIndex(A,3,I) → 'e'
SubIndex(A,6,I) → «null»
SubIndex(A,1..5,I) → ['f', 'c', 'e', 'a', 'd']
     SubIndex(A,C,I) →
K → 1 2 3 4 5
'a' 'c' 'd' 'f' 'e'


     SubIndex(B,2,I) →
J → 1 2
'c' 'd'
     SubIndex(B,C,I) →
B K
1 2 3 4 5
J 1 'd' 'c' 'e' «null» 'f'
2 'f' 'd' 'c' 'd' 'e'

See Also

Comments


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