#9706: New Version of orthogonal Polynomials
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Reporter: maldun | Owner: burcin, maldun
Type: enhancement | Status: needs_review
Priority: minor | Milestone: sage-5.0
Component: symbolics | Keywords: orthogonal polynomials, symbolics
Author: Stefan Reiterer | Upstream: N/A
Reviewer: | Merged:
Work_issues: |
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Changes (by maldun):
* status: needs_work => needs_review
Old description:
> The current implementation of orthogonal polynomials is just a wrapper
> around maxima. (see http://wiki.sagemath.org/symbolics/)
> There are the following improvements planed:
>
> -using of the pynac class for symbolic functions.
> -faster evaluation in general
> -evaluation of special values
> -mpmath for numeric evaluation
New description:
The current implementation of orthogonal polynomials is just a wrapper
around maxima. (see http://wiki.sagemath.org/symbolics/)
This update holds the following changes:
*using of the pynac class for symbolic functions.
*faster evaluation in general
*evaluation of special values
*mpmath for numeric evaluation
'''Remarks:'''
*The current patch needs scipy-0.8. One has to install it before
testing (see #9808 for spkg's and installation instructions)
* Some of the old doctests in the old file don't work any more, due to
coercion problems with pynac (see #9769)
* Some doctests in Sage change, due to the fact that new BuiltIn
functions are added. symbolic.random_test.py had output changes since the
random expression creation changed of course. The tests in pynac.pyx also
changed, but this has a strange behavior (see below).
--
Comment:
@kcrisman thanks for paying attention. I added now an updated patch and
extended instructions.
the doctest changes in '''symbolic.random_tests.py''' are easy to explain:
new functions are involved -> new random expressions. But I had to change
{{{random_expr(50, nvars=3, coeff_generator=CDF.random_element) }}} to
{{{random_expr(60, nvars=3, coeff_generator=CDF.random_element) }}} or
else one gets an expression generated where a division through zero
occours.
As mentioned on sage-devel I repaired the doctests in
'''symbolic.pynac.pyx''', the trick is to enlarge the range of the for
loop:
{{{for i in range(get_ginac_serial(), get_ginac_serial()+50):}}}
changed to
{{{for i in range(get_ginac_serial(), get_ginac_serial()+100):}}}
now it works. My explaination: since we have new functions we have longer
to search, and then we reach our goal. What I can not explain is, that it
works, when I type it in by hand.
All doctests pass now, so I think a review would be nice.
-maldun
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/9706#comment:28>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica,
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