#12455: Make Airy functions symbolic
---------------------------------------------------------------------------+
Reporter: olazo |
Owner: olazo
Type: enhancement |
Status: needs_review
Priority: major |
Milestone: sage-5.11
Component: symbolics |
Resolution:
Keywords: Airy functions sd40.5 sd48 |
Work issues: circular import, doctest failures
Report Upstream: N/A |
Reviewers: Eviatar Bach, Karl-Dieter Crisman
Authors: Oscar Gerardo Lazo Arjona, Benjamin Jones, Eviatar Bach |
Merged in:
Dependencies: #12289 |
Stopgaps:
---------------------------------------------------------------------------+
Old description:
> As discussed in [http://groups.google.com/group/sage-
> support/browse_thread/thread/f458d0f9cfd89c9a sage-support].
>
> Currently sage can evaluate airy functions numerically:
> {{{
> sage: airy_ai(1.4)
> 0.0820380498076
> }}}
>
> but it doesn't work symbolically
>
> {{{
> sage: airy_ai(x)
> ---------------------------------------------------------------------------
> TypeError Traceback (most recent call
> last)
>
> /home/oscar/Escritorio/tesis/calculos/<ipython console> in <module>()
>
> /home/oscar/sage/sage-4.7.1/local/lib/python2.6/site-
> packages/sage/functions/special.pyc in airy_ai(x)
> 621 """
> 622 _init()
> --> 623 return RDF(meval("airy_ai(%s)"%RDF(x)))
> 624
> 625 def airy_bi(x):
>
> /home/oscar/sage/sage-4.7.1/local/lib/python2.6/site-
> packages/sage/structure/parent.so in
> sage.structure.parent.Parent.__call__ (sage/structure/parent.c:7102)()
>
> /home/oscar/sage/sage-4.7.1/local/lib/python2.6/site-
> packages/sage/structure/coerce_maps.so in
> sage.structure.coerce_maps.NamedConvertMap._call_
> (sage/structure/coerce_maps.c:4221)()
>
> /home/oscar/sage/sage-4.7.1/local/lib/python2.6/site-
> packages/sage/symbolic/expression.so in
> sage.symbolic.expression.Expression._real_double_
> (sage/symbolic/expression.cpp:5391)()
>
> /home/oscar/sage/sage-4.7.1/local/lib/python2.6/site-
> packages/sage/symbolic/expression.so in
> sage.symbolic.expression.Expression._eval_self
> (sage/symbolic/expression.cpp:4898)()
>
> TypeError: Cannot evaluate symbolic expression to a numeric value.
> }}}
>
> We should make it symbolical for both airy_ai and airy_bi, as well as
> their derivatives.
>
> ----
>
> Apply [attachment:trac_12455-newstyle-airy-rebase.patch] and
> [attachment:trac_12455_newstyle_airy2.patch].
New description:
As discussed in [http://groups.google.com/group/sage-
support/browse_thread/thread/f458d0f9cfd89c9a sage-support].
Currently sage can evaluate airy functions numerically:
{{{
sage: airy_ai(1.4)
0.0820380498076
}}}
but it doesn't work symbolically
{{{
sage: airy_ai(x)
---------------------------------------------------------------------------
TypeError Traceback (most recent call
last)
/home/oscar/Escritorio/tesis/calculos/<ipython console> in <module>()
/home/oscar/sage/sage-4.7.1/local/lib/python2.6/site-
packages/sage/functions/special.pyc in airy_ai(x)
621 """
622 _init()
--> 623 return RDF(meval("airy_ai(%s)"%RDF(x)))
624
625 def airy_bi(x):
/home/oscar/sage/sage-4.7.1/local/lib/python2.6/site-
packages/sage/structure/parent.so in sage.structure.parent.Parent.__call__
(sage/structure/parent.c:7102)()
/home/oscar/sage/sage-4.7.1/local/lib/python2.6/site-
packages/sage/structure/coerce_maps.so in
sage.structure.coerce_maps.NamedConvertMap._call_
(sage/structure/coerce_maps.c:4221)()
/home/oscar/sage/sage-4.7.1/local/lib/python2.6/site-
packages/sage/symbolic/expression.so in
sage.symbolic.expression.Expression._real_double_
(sage/symbolic/expression.cpp:5391)()
/home/oscar/sage/sage-4.7.1/local/lib/python2.6/site-
packages/sage/symbolic/expression.so in
sage.symbolic.expression.Expression._eval_self
(sage/symbolic/expression.cpp:4898)()
TypeError: Cannot evaluate symbolic expression to a numeric value.
}}}
We should make it symbolical for both airy_ai and airy_bi, as well as
their derivatives.
----
Apply [attachment:trac_12455-newstyle-airy-rebase.patch] and
[attachment:trac_12455-newstyle-airy2-rebase.patch].
--
Comment (by kcrisman):
Apply trac_12455-newstyle-airy-rebase.patch and trac_12455-newstyle-
airy2-rebase.patch
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/12455#comment:31>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica,
and MATLAB
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