[Python-ideas] Fwd: Trigonometry in degrees
Jacco van Dorp
j.van.dorp at deonet.nl
Mon Jun 11 06:08:07 EDT 2018
2018-06-11 10:00 GMT+02:00 Ronald Oussoren <ronaldoussoren at mac.com>:
>> [me suggestion PiMultiple class]
>
> What is the real world advantage of such a class? So far I’ve only seen examples where the current behavior is said to be confusing for students. In most cases where I have used math.sin the angle wasn’t a constant and wasn’t an exact mulltiple of pi.
>
> Ronald
Im assuming the current math.pi would be converted to PiMultiple(1)
When learning, it's rather easy to write and read the following:
>>> from math import sin, pi, asin, cos
>>> myangle = pi / 2
>>> sin(myangle)
1
>>> asin(1)
"0.5π" # Currently: 1.5707963267948966
>>> cos(pi / 2)
0 # Currently: 6.123233995736766e-17
It helps clarity and understanding when you're coming to python from a
math background. In universities, half of your values when working
with angles are written as some multiple of pi (of some weird fraction
involving it). Also, for the common angles, we'll gain accuracy (and
perhaps we can avoid the infinite series for certain computations.
That would be a win.).
Also, you're countering the "confusing to students" part with your own
production environment experience. Those aren't alike. And if this was
done, your float-based production code wouldn't get slower or care any
other way. What you implement and test with PiMultiple would work
perfectly fine with any random float as well, just without the extra
advantages.
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