#7763: make nintegrate/nintegral top-level functions
-----------------------------------+----------------------------------------
Reporter: jason | Owner: burcin
Type: enhancement | Status: needs_work
Priority: major | Milestone: sage-4.6.1
Component: calculus | Keywords: beginner
Author: Gagan Sekhon | Upstream: N/A
Reviewer: Karl-Dieter Crisman | Merged:
Work_issues: |
-----------------------------------+----------------------------------------
Changes (by kcrisman):
* cc: jason, mhampton (added)
Comment:
Maybe the best thing to do would be to have ONE top level function for
numerical integration (`numerical_integral`), of which `nintegrate` and
`nintegral` would be aliases. Then one would have to really at this time
change the syntax of `numerical_integral` so that it accepts the same
syntax as integration in general does; you'll notice that currently it
does not accept a variable, only the endpoints:
{{{
if hasattr(func, 'arguments'):
vars = func.arguments()
else:
vars = func.variables()
}}}
so that it guesses what the correct variable is. It also makes it really
hard to do numerical integration on the fly with it, because you can't do
[http://ask.sagemath.org/question/95/numerical-integration-in-a-function
this] very easily.
In that case, it would be easy to have several different algorithms. I
don't know which would be better; in some sense, it would be best to
always first see if we get an exact answer from Maxima, and if not, then
do a numerical integral. Or should it always do a straight-up numerical
integral (whether from GSL, Maxima, Gi/Pynac...)?
As you can see, even trying to solve pretty 'easy' tickets can open a can
of worms! Keep up the effort, though, it is much appreciated.
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/7763#comment:11>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica,
and MATLAB
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