fun with hours, minutes, seconds etc



Nice... what happens if you add a fractional-inch unit?  Do you get
3/2`inch `` [inch, finch] =>  [1 inch, 1/2 finch]?

Which was the original requirement....

             -s

On Mon, Feb 2, 2009 at 10:26 PM, Robert Dodier <robert.dodier at gmail.com> wrote:
> Hello,
>
> inspired by a recent question about carpentry, I've committed some
> new stuff in ezunits. As before foo ` bar `` baz changes units bar
> to units baz. Now if baz is a list, the result is a list in which
> quantities are integers except for the last.
>
> load (ezunits);
>
> 86401 ` s `` [hour, minute, s];
>  => [24 ` hour, 0 ` minute, 1 ` s]
>
> 10^7 ` m^2 `` [mile^2, acre, foot^2, inch^2];
>  => [3 ` mile^2, 551 ` acre, 2344 ` foot^2, 388096/16129 ` inch^2]
>
> map (lambda ([x], x `` m^2), %);
>  => [121405692672/15625 ` m^2, 174204522558/78125 ` m^2,
> 85064346/390625 ` m^2, 6064/390625 ` m^2]
>
> apply ("+", %);
>  => 10000000 ` m^2
>
> x ` m `` [yard, foot, inch];
>  => [floor(1250*x/1143) ` yard,
>  floor(3*(1250*x/1143-floor(1250*x/1143))) ` foot,
>  12*(3*(1250*x/1143-floor(1250*x/1143))
>    -floor(3*(1250*x/1143-floor(1250*x/1143)))) ` inch]
>
> ev (%, x = 500);
>  => [546 ` yard, 2 ` foot, 640/127 ` inch]
>
> I thought about making the result something like x ` hour
>  + y ` minute + z ` s but Maxima reorders operands of "+".
> I guess I could invent a noncommutative plus operator.
>
> Hope this is useful to someone. I'd be glad to read any comments.
>
> Robert Dodier
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