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Date:	Tue, 15 Feb 2005 00:40:13 PST8
From:	Peter Skye <pskye@peterskye.com >
Reply-To:	scoug-programming@scoug.com
To:	scoug-programming@scoug.com
Subject:	SCOUG-Programming: Open Source Object Rexx

Content Type: text/plain

Benedict G.Archer wrote:
>
> two cents from a lurker:

Ben, great to hear from you! What's going on up there?

> J supports exact calculations using a syntax for a rational number,
> numerator r denominator. The operator that creates the exact
> representation of a decimal (or any base) value is 'x:'. For example,
>
> 17%83 yields 0.204819 (the divide operator in J is %)
> x: 17%83 gives 17r83
> and
> x: 13 + 17%83 gives 1096r83
> x: 13 + 0.204819 gives 5220261405187r395330023470
> and
> x: (11%3) * (4%7) gives 44r21 (some parens are needed)

Hmm. Can I multiply two r values, for example can I do the following?

x: 2r3 * 4r5

which should yield 8r15

Also, is there a kind of "fractional rounding" (my term) so that

x: 1.333333333

would yield 4r3?

> another syntax for exact calculations appends an x, e.g.,
> 44%21 gives 2.09524...
> 44%21x gives 44r21

Rewriting my last example above, would

1.333333333x

result in 1333333333r1000000000 or 4r3?

Good info, thanks Ben.

- Peter

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