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u/\ Improved

initial writing: 2003-12-04 last updated: 2005-01-20

The dyad m u/\ y is now implemented by special code for the cases where m is a positive integer and:

+ /\		boolean, integer or floating point y
>./\		boolean, integer or floating point y
<./\		boolean, integer or floating point y
+./\		boolean y
*./\		boolean y
= /\		boolean y
~:/\		boolean y

The following table illustrates the improvements in time and space.

b=: ?5e5$2
i=: ?5e5$1e6
d=: 0.01*?5e5$1e6
ts=: 6!:2 , 7!:2@]
ts 'Expression'

Expression		J 5.03				J 5.02				Ratio
50 + /\ b		0.014285		2.098368e6		1.140392		6.817536e6		79.83		3.25
100 + /\ b		0.014728		2.098368e6		1.211342		6.817664e6		82.25		3.25
150 + /\ b		0.014975		2.098368e6		1.294418		6.817664e6		86.44		3.25
50 + /\ i		0.032687		2.098368e6		1.468416		8.390528e6		44.92		4.00
100 + /\ i		0.035122		2.098368e6		1.769516		8.390784e6		50.38		4.00
150 + /\ i		0.030545		2.098368e6		2.108809		8.391296e6		69.04		4.00
50 + /\ d		0.035560		4.195520e6		1.387645		1.258509e7		39.02		3.00
100 + /\ d		0.035114		4.195520e6		1.583527		1.258560e7		45.10		3.00
150 + /\ d		0.034200		4.195520e6		2.189876		1.258662e7		64.03		3.00
50 >./\ i		0.027954		2.098368e6		1.381496		8.390528e6		49.42		4.00
100 >./\ i		0.027844		2.098368e6		1.586821		8.390784e6		56.99		4.00
150 >./\ i		0.031460		2.098368e6		1.818133		8.391296e6		57.79		4.00
50 >./\ d		0.058007		4.195520e6		1.540447		1.258509e7		26.56		3.00
100 >./\ d		0.047901		4.195520e6		1.855978		1.258560e7		38.75		3.00
150 >./\ d		0.057408		4.195520e6		2.584069		1.258662e7		45.01		3.00
50 +./\ b		0.023684		5.255040e5		1.081159		5.244672e6		45.65		9.98
50 *./\ b		0.022626		5.255040e5		1.083555		5.244672e6		47.89		9.98
50 = /\ b		0.022044		5.255040e5		1.094156		5.244672e6		49.64		9.98
50 ~:/\ b		0.013014		5.255040e5		1.074636		5.244672e6		82.58		9.98

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