On Thu, Nov 19, 2009 at 6:08 PM, Alex Raichev <tortoise.s...@gmail.com> wrote:
> Hi all:
>
> Related to http://trac.sagemath.org/sage_trac/ticket/6243, it appears
> that using derivatives of callable symbolic functions as dictionary
> keys is broken in Sage 4.2.1. See below. It works for functions of
> one and two variables but not three.
>
> Alex
A temporary workaround is to use str():
X= var('x,y,z')
f= function('f',*X); f
d= {}
for l in [1..2]:
for s in UnorderedTuples(X,l):
print diff(f,s)
d[str(diff(f,s))]= 69
William
>
> ----------------------------------------------------------------------
> | Sage Version 4.2.1, Release Date: 2009-11-14 |
> | Type notebook() for the GUI, and license() for information. |
> ----------------------------------------------------------------------
> sage: X= var('x,y,z')
> sage: f= function('f',*X); f
> f(x, y, z)
> sage: d= {}
> sage: for l in [1..2]:
> ....: for s in UnorderedTuples(X,l):
> ....: print diff(f,s)
> ....: d[diff(f,s)]= 69
> ....:
> D[0](f)(x, y, z)
> D[1](f)(x, y, z)
> D[2](f)(x, y, z)
> D[0, 0](f)(x, y, z)
> ---------------------------------------------------------------------------
> NotImplementedError Traceback (most recent call
> last)
>
> /Users/arai021/<ipython console> in <module>()
>
> /Applications/sage/local/lib/python2.6/site-packages/sage/symbolic/
> expression.so in sage.symbolic.expression.Expression.__nonzero__ (sage/
> symbolic/expression.cpp:7801)()
>
> /Applications/sage/local/lib/python2.6/site-packages/sage/symbolic/
> expression.so in sage.symbolic.expression.Expression.test_relation
> (sage/symbolic/expression.cpp:9177)()
>
> /Applications/sage/local/lib/python2.6/site-packages/sage/rings/
> complex_interval_field.py in __call__(self, x, im)
> 286
> 287 try:
> --> 288 return x._complex_mpfi_( self )
> 289 except AttributeError:
> 290 pass
>
> /Applications/sage/local/lib/python2.6/site-packages/sage/symbolic/
> expression.so in sage.symbolic.expression.Expression._complex_mpfi_
> (sage/symbolic/expression.cpp:5364)()
>
> /Applications/sage/local/lib/python2.6/site-packages/sage/symbolic/
> expression_conversions.py in __call__(self, ex)
> 212 div = self.get_fake_div(ex)
> 213 return self.arithmetic(div, div.operator())
> --> 214 return self.arithmetic(ex, operator)
> 215 elif operator in relation_operators:
> 216 return self.relation(ex, operator)
>
> /Applications/sage/local/lib/python2.6/site-packages/sage/symbolic/
> expression_conversions.py in arithmetic(self, ex, operator)
> 1437 return base ** expt
> 1438 else:
> -> 1439 return reduce(operator, map(self, operands))
> 1440
> 1441 def composition(self, ex, operator):
>
> /Applications/sage/local/lib/python2.6/site-packages/sage/symbolic/
> expression_conversions.py in __call__(self, ex)
> 212 div = self.get_fake_div(ex)
> 213 return self.arithmetic(div, div.operator())
> --> 214 return self.arithmetic(ex, operator)
> 215 elif operator in relation_operators:
> 216 return self.relation(ex, operator)
>
> /Applications/sage/local/lib/python2.6/site-packages/sage/symbolic/
> expression_conversions.py in arithmetic(self, ex, operator)
> 1437 return base ** expt
> 1438 else:
> -> 1439 return reduce(operator, map(self, operands))
> 1440
> 1441 def composition(self, ex, operator):
>
> /Applications/sage/local/lib/python2.6/site-packages/sage/symbolic/
> expression_conversions.py in __call__(self, ex)
> 216 return self.relation(ex, operator)
> 217 elif isinstance(operator, FDerivativeOperator):
> --> 218 return self.derivative(ex, operator)
> 219 else:
> 220 return self.composition(ex, operator)
>
> /Applications/sage/local/lib/python2.6/site-packages/sage/symbolic/
> expression_conversions.py in derivative(self, ex, operator)
> 344 NotImplementedError: derivative
> 345 """
> --> 346 raise NotImplementedError, "derivative"
> 347
> 348 def arithmetic(self, ex, operator):
>
> NotImplementedError: derivative
> sage:
>
> --
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--
William Stein
Associate Professor of Mathematics
University of Washington
http://wstein.org
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