|Program to calculate root of cubics
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|Author:||nullplan [ Wed Jul 22, 2020 11:27 am ]|
|Post subject:||Program to calculate root of cubics|
had a bit of time on my hands and so I wrote something i wanted to implement for a while now, namely a program to calculate the roots of cubic expressions (by Cardano's method). Now I've written it, I am not entirely sure if I'm doing everything right. I added a check for the results at the end, and I regularly get results on the order of 1e-16. Is that entirely down to my non-optimized programming? Or did I get something wrong?
|Author:||Octocontrabass [ Wed Jul 22, 2020 8:48 pm ]|
|Post subject:||Re: Program to calculate root of cubics|
Double-precision values can accurately store around 15 decimal digits, so that sounds like normal rounding error.
By default, compilers don't change the order of floating-point operations while optimizing, so you may be able to improve the rounding error by changing how you calculate intermediate values.
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