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(f,) Improved

initial writing: 2000-12-01 last updated: 2000-12-01

For some time, the dyad hook ($,) has been supported by special code. Special code has now been implemented for the dyads {, {., }., e., . Time and space comparisons are as follows:

   b=: ?(6$10)$2
   c=: a.{~?(6$10)$#a.
   y=: ($c)$'y'
   a=: a.{~ ?13 17 19$#a.
   i=: _1e6+?13 17 19$2e6

   ts=: 6!:2 , 7!:2@]
   ts 'Expression'

Expression	J 4.06	J 4.05	Time Ratio
1 (e.,) b	0.000032    1024	0.008775 1049728	274
0 (e.,) b	0.000028    1024	0.008578 1049728	306
'x' (e.,) c	0.000023    1152	0.008736 1049856	380
'x' (e.,) y	0.007173    1152	0.018425 1049856	2.57
a (e.,) c	0.013079   43072	0.020343 1090624	1.56
i ({,) c	0.000437   43008	0.009308 1090560	21.3
2000 ({.,) c	0.000051    4160	0.008711 1051712	171
2000 (}.,) c	0.009629 1050752	0.016291 2098304	1.69

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