On Jun 15, 2009, at 7:57 AM, Jason Bandlow wrote:

> Robert Bradshaw wrote:
>> On Jun 9, 2009, at 9:47 AM, Jason Bandlow wrote:
>>
>>>> On Jun 9, 2009, at 8:29 AM, Jason Bandlow wrote:
>>>>
>>>>> Hi,
>>>>>
>>>>> I ran across the following behavior in sage-3.4.1 and sage-4.0 (I
>>>>> don't
>>>>> have 4.0.1 yet), and I find it fairly disturbing.
>>>>>
>>>>>     sage: d = {'a': 1}         # Create some object
>>>>>     sage: d
>>>>>     {'a': 1}
>>>>>     sage: type(d) = type({})   # Attempt to check the type but
>>>>>                                #  foolishly use = instead of ==
>>>>>
>>>>>     TypeError: cannot coerce type '<type 'type'>' into a
>>>>>     SymbolicExpression.        # An error is expected
>>>>>
>>>>>     sage: d                    # But now my data is gone!
>>>>>     d
>>>>>     sage: type(d)              # Replaced by a symbolic variable
>>>>>     <class 'sage.calculus.calculus.SymbolicVariable'>
>>> Robert Bradshaw wrote:
>>>> This isn't a coercion issue, it's because of how functions are
>>>> defined in Sage using the "f(x) = expr" notation using the  
>>>> preparser.
>>>> I think that's too useful to get rid of. We could special case a
>>>> warning for "type(x) = ..." but I'm not sure if that's the best  
>>>> idea.
>>> Interesting!  This means the problem is worse than I thought.
>>> Anytime we
>>> have data 'd' and 'e' and a function 'f', doing
>>>
>>>     sage: f(d) = e    # Instead of f(d) == e
>>>
>>> will raise a TypeError and replace 'd' with a symbolic variable.
>>> Fortunately, though,
>>>
>>>     sage: if f(d) = e:  # The usual reason to check equality
>>>
>>> raises a SyntaxError first, so maybe this problem isn't so serious.
>>
>> Yes, I think it's fairly rare to want to do this. Probably should be
>> added to an FAQ somewhere at least, as it's a surprising and subtle
>> side effect.
>
> First of all, thanks very much for the explanations, Robert.  Is  
> there a
> particular FAQ where I could add a brief description of this?

Here's a good a place as any:

http://wiki.sagemath.org/faq

- Robert



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