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o. Improved |
initial writing: 2002-11-13 |
The dyad o. circle function has been made more efficient
in time and space on real arguments with real results. For example:
x=: 0.001*_500+?1e5$1000 y=: (*x)+x+0=x z=: |y ts=: 6!:2 , 7!:2@] NB. time and space ts 'expression'
Expression | J 5.02 | J 5.01 | Ratio | |||
_7 o. x | 0.0262740 1.04922e6 | 0.228579 5.24358e6 | 8.70 5.00 | |||
_6 o. z | 0.0317026 1.04922e6 | 0.301152 5.24358e6 | 9.50 5.00 | |||
_5 o. x | 0.0333802 1.04922e6 | 0.275311 5.24358e6 | 8.25 5.00 | |||
_4 o. y | 0.0187753 1.04922e6 | 0.226301 5.24358e6 | 12.05 5.00 | |||
_3 o. x | 0.0348033 1.04922e6 | 0.292260 5.24358e6 | 8.40 5.00 | |||
_2 o. x | 0.0566949 1.04922e6 | 0.182072 5.24358e6 | 3.21 5.00 | |||
_1 o. x | 0.0558347 1.04922e6 | 0.163727 5.24358e6 | 2.93 5.00 | |||
0 o. x | 0.0129550 1.04922e6 | 0.169990 5.24358e6 | 13.12 5.00 | |||
1 o. x | 0.0248325 1.04922e6 | 0.140806 5.24358e6 | 5.67 5.00 | |||
2 o. x | 0.0261544 1.04922e6 | 0.139136 5.24358e6 | 5.32 5.00 | |||
3 o. x | 0.0322787 1.04922e6 | 0.207790 5.24358e6 | 6.44 5.00 | |||
4 o. x | 0.0129360 1.04922e6 | 0.182361 5.24358e6 | 14.10 5.00 | |||
5 o. x | 0.0851955 1.04922e6 | 0.305229 5.24358e6 | 3.58 5.00 | |||
6 o. x | 0.0877715 1.04922e6 | 0.298816 5.24358e6 | 3.40 5.00 | |||
7 o. x | 0.0955809 1.04922e6 | 0.519837 5.24358e6 | 5.44 5.00 |