bugs in evaluation of spherical bessel function #2494
Description
BUG 1:
Hi,
I was just trying to calculate some stuff with spherical Bessel
functions and got this error message:
sage: spherical_bessel_J(3,.1)
....
6823 return x
6824 except SyntaxError:
-> 6825 raise TypeError, "unable to make sense of Maxima
expression '%s' in SAGE"%s
6826 finally:
6827 is_simplified = False
<type 'exceptions.TypeError'>: unable to make sense of Maxima
expression '9.5185197208655641L-6' in SAGE
sage:
KeyboardInterrupt
I checked it, it happens for small values of the argument x.
Does anyone has a solution or work around?
Greets,
schorsch
BUG2
sage: spherical_bessel_J(3,.1, algorithm='scipy')
---------------------------------------------------------------------------
<type 'exceptions.NameError'> Traceback (most recent call last)
/Users/was/Downloads/z/<ipython console> in <module>()
/Users/was/build/sage-2.10.3.rc3/local/lib/python2.5/site-packages/sage/functions/special.py in spherical_bessel_J(n, var, algorithm)
782 ans = ans.replace(")","")
783 ans = ans.replace("j","*I")
--> 784 return sage_eval(ans)
785 elif algorithm == 'maxima':
786 _init()
/Users/was/build/sage-2.10.3.rc3/local/lib/python2.5/site-packages/sage/misc/sage_eval.py in sage_eval(source, locals)
108 p = preparse(source)
109 try:
--> 110 return eval(p, sage.all.__dict__, locals)
111 except SyntaxError, msg:
112 raise SyntaxError, "%s\nError using SAGE to evaluate '%s'"%(msg, p)
/Users/was/Downloads/z/<string> in <module>()
<type 'exceptions.NameError'>: name 'array' is not defined
Probably many of the special functions in functions/special.py have similar bugs.
Component: numerical
Author: Mike Hansen
Reviewer: Alex Ghitza
Merged: sage-4.3.2.alpha0
Issue created by migration from https://trac.sagemath.org/ticket/2494