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I. Implements Indices |
initial writing: 2003-07-19 |
The monad I. Indices has been implemented. See the dictionary for details.
The dyads I.@E. and I.@:comp and [: I. comp where comp is one of = ~: < <: > >: E. , are supported by special code, as are the monads I.@~: I.@:~: [: I. ~: . The following benchmarks demonstrate the improvements in time and space.
b =: 1e6 ?@$ 2
b6=: 1e6 6?@$ 2
c =: a.{~ 1e6 ?@$ 256
c6=: a.{~ 1e6 6 ?@$ 256
i =: 1e6 ?@$ 1e6
i2=: 1e6 2 ?@$ 1e6
j =: 1e6 ?@$ 1e6
I=: # i.@# NB. simulation of I. in J 5.02
ts=: 6!:2 , 7!:2@] NB. time and space
ts 'Expression'
| Expression | J 5.03 | J 5.02 | Ratio | ||||
| I.@~: b | 0.0305983 8.960000e2 | 0.1150610 9.438208e6 | 3.76 | 10533.71 | |||
| I.@~: b6 | 0.2763175 1.258374e7 | 0.3406972 1.258419e7 | 1.23 | 1.00 | |||
| I.@~: c | 0.0307492 3.328000e3 | 0.1171241 9.440192e6 | 3.81 | 2836.60 | |||
| I.@~: c6 | 0.5655238 1.258374e7 | 0.6674142 1.363270e7 | 1.18 | 1.08 | |||
| I.@~: i | 0.1818460 5.243648e6 | 0.3791596 1.363270e7 | 2.09 | 2.60 | |||
| I.@~: i2 | 0.7648014 1.258381e7 | 0.8564440 1.363270e7 | 1.12 | 1.08 | |||
| i I.@:> j | 0.0605817 3.670976e6 | 0.0709286 3.147008e6 | 1.17 | 0.86 | |||