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/: and \: Sparse Arguments |
initial writing: 2001-07-17 |
The monads /: and \: now support sparse arguments.
Note that the results of /: and \: are not sparse
even though the argument may be sparse.
For example:
<"2 y=: ((?.10$2), 0, 1, 0 ,: 10$1 0 0) * ?. 5 10 3$10 +-----+-----+-----+-----+-----+ |0 0 0|0 0 0|5 5 3|0 0 0|2 0 4| |5 2 0|0 0 0|9 4 2|0 0 0|0 0 0| |0 0 0|0 0 0|0 9 0|0 0 0|0 0 0| |3 5 8|0 0 0|5 3 2|0 0 0|8 6 1| |0 0 0|0 0 0|9 5 4|0 0 0|0 0 0| |0 0 0|0 0 0|9 0 7|0 0 0|0 0 0| |0 4 6|0 0 0|7 8 1|0 0 0|8 5 9| |5 9 8|0 0 0|0 6 8|0 0 0|0 0 0| |5 0 6|0 0 0|6 7 7|0 0 0|0 0 0| |0 0 0|0 0 0|9 8 2|0 0 0|2 4 4| +-----+-----+-----+-----+-----+ ] x=: (2;0 1)$. y 0 1 | 5 2 0 0 3 | 3 5 8 0 6 | 0 4 6 0 7 | 5 9 8 0 8 | 5 0 6 2 0 | 5 5 3 2 1 | 9 4 2 2 2 | 0 9 0 2 3 | 5 3 2 2 4 | 9 5 4 2 5 | 9 0 7 2 6 | 7 8 1 2 7 | 0 6 8 2 8 | 6 7 7 2 9 | 9 8 2 4 0 | 2 0 4 4 3 | 8 6 1 4 6 | 8 5 9 4 9 | 2 4 4 /: x 1 3 0 4 2 /:"2 x 0 2 4 5 9 6 3 8 1 7 0 1 2 3 4 5 6 7 8 9 7 2 3 0 8 6 5 1 4 9 0 1 2 3 4 5 6 7 8 9 1 2 4 5 7 8 0 9 6 3 \:"2 x 7 1 8 3 6 0 2 4 5 9 0 1 2 3 4 5 6 7 8 9 9 4 1 5 6 8 0 3 2 7 0 1 2 3 4 5 6 7 8 9 3 6 9 0 1 2 4 5 7 8 (/: x) -: /: y 1 (/:"1 x) -: /:"1 y 1 (/:"2 x) -: /:"2 y 1