On Wed, Feb 7, 2018 at 5:52 PM Steven D'Aprano
On Wed, Feb 07, 2018 at 10:08:50PM +0000, Neil Girdhar wrote:
Oh, and to answer your specific question, I want to change the way arithmetic is done. I want it to be done in a different radix.
Why?
There are clear advantages to floating point arithmetic done in base 2 (speed, minimum possible rounding error, least amount of wobble), and a different advantage to floating point done in base 10 (matches exactly the standard decimal notation used by humans with no conversion error), Outside of those two bases, arithmetic done in any other base is going to combine the worst of both:
- slower; - larger errors when converting from decimal numbers (in general); - larger rounding errors; - larger wobble;
I don't see why it would have any of those problems. Base 10 isn't special in any way.
with no corresponding advantages unless your data is coming to you in arbitrary bases.
Right, I was playing with this problem ( https://brilliant.org/weekly-problems/2017-10-02/advanced/?problem=no-comput...) and wanted to work in base 2. I realize it's niche, but it's not exactly a significant change to the interface even if it's a big change to the implementation.
Doing floating point arithmetic in decimal is already slower and less accurate than doing it in binary. I'd like to hear more about your use-case for doing it in base 19 or base 7, say, but I would have to guess that it is likely to be such a niche use-case that this functionality doesn't belong in the standard library.
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