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The "Laguerre" and "Hermite" implementations of the GaussIntegratorFactory, doesn't seem to have "flexible changeable Infinity bounds", if used in a scripting language.
The below Java implementation is similar to what Julia supports in it's quadgk function:
- https://github.com/JuliaMath/QuadGK.jl
- https://juliamath.github.io/QuadGK.jl/stable/
- https://en.wikipedia.org/wiki/Gauss%E2%80%93Kronrod_quadrature_formula
I found this Java implementation (Apache license) on Github which accepts Infinity bounds.
Example:
It could also be implemented for "arbitrary-precision arithmetic" (i.e. FieldElement).
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