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i. Improved |
initial writing: 2005-06-27 |
The i. family of primitives (dyads: i. i: e. -. u/. ; monads: ~. ~: = ) has been made faster when:
- x and y are boxed; and
- x has singleton items ( y having singleton items in the case of e. ); and
- opened atoms of x and y have the same type, and that type is not floating-point, complex, or boxed.
(For monads the requirements apply to y alone.) The case where that same type is literal was
already fast and the improvement is not as great.
The following benchmarks demonstrate the improvement:
i1=: (1e4 ?@$ 100) ?@#&.> 100 c1=: ":&.> i1 i2=: (2e4 ?@$ 100) ?@#&.> 100 c2=: ":&.> i2 ts=: 6!:2 , 7!:2@] ts 'Expression'
| Expression | J 6.01 | J 5.04 | Ratio | |||||||||
| i.~ i1 | 0.00974926 | 197376 | 0.20099158 | 197376 | 20.62 | 1.00 | ||||||
| ~. i1 | 0.01110098 | 197248 | 0.20011495 | 197248 | 18.03 | 1.00 | ||||||
| i.~ i2 | 0.02010718 | 393984 | 1.76146159 | 393984 | 87.60 | 1.00 | ||||||
| ~. i2 | 0.02360515 | 393856 | 1.76543031 | 393856 | 74.79 | 1.00 | ||||||
| i.~ c1 | 0.00831639 | 197376 | 0.01766063 | 197376 | 2.12 | 1.00 | ||||||
| ~. c1 | 0.01000640 | 197248 | 0.01936748 | 197248 | 1.94 | 1.00 | ||||||
| i.~ c2 | 0.01687797 | 393984 | 0.03606743 | 393984 | 2.14 | 1.00 | ||||||
| ~. c2 | 0.02073817 | 393856 | 0.04019880 | 393856 | 1.94 | 1.00 | ||||||