Comments (3)
The coefficients in the polynomial are inherently irrational (require sqrt for calculation) so simply using Rational
would not do the trick. What are you trying to achieve?
from sphericalharmonicexpansions.jl.
Dear @hofmannmartin
Sorry for the ambiguous description.
What I mean is whether it is possible to give accurate symbolic return of spherical harmonics. In that way, one can get accurate ratianal result when dividing polyvar coeffients.
For example:
julia> p4
0.31735664074561293x⁴ + 0.6347132814912259x²y² - 2.5388531259649034x²z² + 0.31735664074561293y⁴ - 2.5388531259649034y²z² + 0.8462843753216343z⁴
julia> p4.terms[1].coefficient/p4.terms[end].coefficient
0.3750000000000001
If the coefficients are symbolic, one can get accurate
from sphericalharmonicexpansions.jl.
In principle one could make different normalizations possible (#6), which would yield the polynomials you desire. However, this refactoring of the package would require some time, which I currently do not have.
Important is to use BigInt
and Rational{BigInt}
, respectively to avoid overflow. So the generation of the polynomials would be much slower.
from sphericalharmonicexpansions.jl.
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