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Grade Down \:  _ _ _ Sort Down

\: grades any argument, yielding a permutation vector; (\:y){y sorts y in descending order. For example:
   ]g=:\:y=:3 1 4 2 1 3 3
2 0 5 6 3 1 4
    
   g{y
4 3 3 3 2 1 1
  x\:y is (\:y){x ; i.e., x is sorted to an order specified by y . In particular, y\:y (or \:~y) sorts y .

For example:
   \:~ 'abecedarian'
rnieedcbaaa
   
   \:~"1 'dozen',:'disk'
zoned
skid

Elements of \:y that select equal elements of y are in ascending order. If y is a table, \:y grades the base value of the rows, using a base larger than twice the magnitude of any of the elements. Higher ranks are treated as ,.y (as if the items were each ravelled).

If y is literal, \:y grades according to the collating sequence specified by the alphabet a. ; another collating sequence cs can be imposed by grading cs i. y . For example:
   ]n=: 3 1 4 1 6,2 7 1 8 3,:6 1 8 0 3
3 1 4 1 6
2 7 1 8 3
6 1 8 0 3
                
   \: n
2 0 1

   \:~ >;:'when eras die, their legacies'
when    
their   
legacies
eras    
die     
,
See Grade Up (/:) for the treatment of complex and boxed arguments.



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