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f/@:g Improved

initial writing: 2006-05-11 last updated: 2006-05-30

The dyad x f/@:g y (also [: f/ g ) is now supported by special code for atomic verbs f and g , with further optimizations for +/@:g . Time improved by a factor of 1.5 to 4; space improved from O(*/$x) to O(*/}.$x) . The following benchmarks illustrate the improvement:

xx=: 1000 10 100 ?@$ 0
yy=: 1000 10 100 ?@$ 0
zz=: 1000 10 ?@$ 0
   
b=: 10000 96 ?@$ 2
c=: 10000 96 ?@$ 2
p=: 96 10000 ?@$ 2
q=: 96 10000 ?@$ 2

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

Expression		J 6.01				J 5.04				Ratio
xx +/@:* yy		0.00783861		9536		0.02374443		8398144		3.03		880.68
xx +/@:* zz		0.00429688		9536		0.01484349		8398144		3.45		880.68
xx >./@:* yy		0.01087503		17728		0.02459718		8398144		2.26		473.72
xx >./@:* zz		0.00808532		17728		0.01606883		8398144		1.99		473.72
b +/@:*. c		0.00081321		1984		0.00253429		1050560		3.12		529.52
p +/@:*. q		0.00090042		83136		0.00259604		1131712		2.88		13.61
b ~:/@:> c		0.00253506		1728		0.00277456		1050048		1.09		607.67
p ~:/@:> q		0.00132367		33984		0.00270656		1066176		2.04		31.37

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