On 2018-06-08 01:44, Yuval Greenfield wrote:
> On Thu, Jun 7, 2018 at 10:38 PM Stephen J. Turnbull
> <turnbull.stephen...@u.tsukuba.ac.jp
> <mailto:turnbull.stephen...@u.tsukuba.ac.jp>> wrote:
>
>
> 6.123233995736766e-17
> >>>
>
> is good enough for government work, including at the local public high
> school.
>
>
> There probably is room for a library like "fractions" that represents
> multiples of pi or degrees precisely. I'm not sure how complicated or
> valuable of an endeavor that would be. But while I agree that floating
> point is good enough, we probably can do better.
>
>
Yes, I agree with making a module (called `rational_trig`?), that
defines some Angle constants, and defines trig functions that accept
Angle objects. Using angle objects will prevent the explosion of
unit-specific variations on the trig functions (sin, sindeg, singrad,
etc). Like mentioned above, the Angle object is probably best
implemented as a Rational of 2*pi, which will allow our favorite angles
to be represented without floating point error. We can define `degrees`
and `radians` constants which can be used as units; then trig looks
something like:
from rational_trig import cos
if cos(90*degrees) == 0:
print("yay!")
It is probably slow as molasses, but maybe good enough for a teaching
environment?
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