-------------- Original message ----------------------
From: "Jonathan Lang" <[EMAIL PROTECTED]>
> Mark Biggar wrote:
> > Jonathan Lang wrote:
> > > They can be:
> > >
> > > $A > $B if $A.x > $B.x | $A.y > $B.y;
> > > $A < $B if $A.x < $B.x | $A.y < $B.y;
> >
> > That dosn't work.
>
> Agreed. The above was written in haste, and contained a couple of
> fatal syntax errors that I didn't intend. Try this:
>
> multi infix:< <= > (Complex $A, Complex $B) {
> $A.x < $B.x || $A.x == $B.x && $A.y <= $B.y
> }
>
> or
>
> multi infix:< <= > (Complex $A, Complex $B) {
> $A == $B || pi()/2 < ($A - $B).a <= 3*pi()/2 # if $.a is
> normalized to 0..2*pi()
> }
>
> This is transitive, reflexive, and anti-symmetric. The underlying
> rule for <= in English: anywhere to the west, or due south, or equal.
See the following.
http://www.cut-the-knot.org/do_you_know/complex_compare.shtml
--
Mark Biggar
[EMAIL PROTECTED]
[EMAIL PROTECTED]
[EMAIL PROTECTED]
