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12. Sorting

The sort x /: y re-orders x according to the grade of y , that is, /:y :
   x=: 2 7 1 8 [ y=: 1 7 3 2
   (/:y);((/:y){x);(x/:y);(x/:x)
+-------+-------+-------+-------+
|0 3 2 1|2 8 1 7|2 8 1 7|1 2 7 8|
+-------+-------+-------+-------+
The grade and sort of literal characters is based upon the ordering of the underlying alphabet a. . For example, if the name "text" is used for the present sentence (up to and including the colon), then:
   tdw=: >dwds=: ~. wds=: ;: text
   ($tdw),($dwds),($wds),($text)
21 9 21 25 103

   ]alph=: a. {~ ,(i. 26) +/ (a.i.'aA')
aAbBcCdDeEfFgGhHiIjJkKlLmMnNoOpPqQrRsStTuUvVwWxXyYzZ

   tdw; (tdw /: tdw);(tdw/: alph i. tdw)
+---------+---------+---------+
|For      |"        |and      |
|example  |(        |colon    |
|,        |)        |example  |
|if       |,        |for      |
|the      |For      |For      |
|name     |and      |if       |
|"        |colon    |including|
|text     |example  |is       |
|is       |for      |name     |
|used     |if       |present  |
|for      |including|sentence |
|present  |is       |text     |
|sentence |name     |then:    |
|(        |present  |the      |
|up       |sentence |to       |
|to       |text     |up       |
|and      |the      |used     |
|including|then:    |,        |
|colon    |to       |"        |
|)        |up       |(        |
|then:    |used     |)        |
+---------+---------+---------+
The middle column is the alphabetized table of distinct words, but (because the cases are not interleaved in the alphabet a.), the words "for" and "For" are widely separated; they are brought together in the last column by indexing the table by a suitable alphabet.



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