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.

> Still, it seems like it should be possible for the preparser to check
> whether f(d) evaluates to something (in which case, the assignment is
> going to fail anyway) before it makes the argument(s) symbolic  
> variables.

You don't want to dissallow

sage: f(x) = x^2
[do some stuff with f]
sage: f(x) = x^3
[do some stuff with the new f]

- Robert



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