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(+/%#)"r Improved

initial writing: 2007-07-25 last updated: 2007-07-27

The monad (+/%#)"r has been made more efficient. The following benchmarks demonstrate the improvement.

dwide=: 5 2e5 ?@$ 0
dtall=: 2e5 5 ?@$ 0
dsq  =: 990 1100 ?@$ 0

swide=: (1e5 ?@$ 0) (<"1 ]1e5 2?@$ 5 2e9  )} 1$.5 2e9
stall=: (1e5 ?@$ 0) (<"1 ]1e5 2?@$ 2e9 5  )} 1$.2e9 5
ssq  =: (1e5 ?@$ 0) (<"1 ]1e5 2?@$ 2e8 3e8)} 1$.2e8 3e8

ts=: 6!:2 , 7!:2@]  NB. time and space
ts 'Expression'

Expression		J 6.02				J 6.01				Ratio
(+/%#)"1 dwide		0.00276342		1792		0.01219391		2099200		4.41		1171.43
(+/%#)"1 dtall		0.00493687		2098816		0.12038998		2099200		24.39		1.00
(+/%#)"1 dsq		0.00305743		9792		0.00628113		26432		2.05		2.70
(+/%#)"1 swide		0.00129642		134656		0.00675263		4590912		5.21		34.09
(+/%#)"1 stall		0.00962258		3279872		0.24598901		43612480		25.56		13.30
(+/%#)"1 ssq		0.00798939		3279808		0.24640704		43604352		30.84		13.29

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