This is a challenge for the mathematically inclined members of our
audience: Now would you define a remainder operation on complex numbers?
I decided I would update some of the ooRexx samples for some of the newer
language features, since many of these samples are are 20+ years old. I
started with the complex number one, and during my ad hoc testing, I was
surprised to see that
5+0i // 2+0i was giving a result of 2+0i. This is clearly wrong. The
method implementing // just took the algorithm for division and changed the
operator to //. This worked for the % operation, but fails badly for //.
The code is this:
a=real /* get real and
imaginaries for */
b=imaginary /* both numbers
*/
c=divisor~real
d=divisor~imaginary
qr=((b*d)+(a*c))//(c**2+d**2) /* generate the new
result values */
qi=((b*c)-(a*d))//(c**2+d**2)
For both imaginary values zero, this results in a*c//c**2, or in my example
10//4, which is off by a factor of 2. I'm inclined to just delete this
method, but if somebody can come up with a reliable algorithm, I'd consider
putting it in.
Rick
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