Prasoon,
Take a look at these outputs.

In [5]: cs.theta.args
Out[5]: ()

In [7]: cs.theta._hashable_content()
Out[7]: ()

cs.theta.__eq__ uses Basic's .__eq__, which in turn compares
_hashable_content() between the two objects. So, I think you should be
using .args instead of .coord_sys and .position.


On Wed, Aug 28, 2013 at 11:22 AM, Prasoon Shukla
<[email protected]>wrote:

> You're right. It seems to be a problem with equality checking. Here's some
> code that I just ran:
>
> In [3]: cs.theta == cs.phi
> Out[3]: True
>
> In [4]: cs.theta
> Out[4]: cs.theta
>
> In [5]: cs.phi
> Out[5]: cs.phi
>
> In [6]: id(cs.theta)
> Out[6]: 169351684
>
> In [7]: id(cs.phi)
> Out[7]: 169350004
>
> How come the == operator returns True even though the ids are different?
> Also, I didn't implement __eq__ or __hash__ on BaseScalars.
>
> Anyway, to reproduce the problem, you can run this (I'm just pasting from
> my Ipython session):
>
> In [1]: from sympy import *;from sympy.vector.vector import *;from
> sympy.vector.integrate import *;q0, q1, q2 = symbols('q0 q1 q2');from
> sympy.abc import x, y, z;c0 = CoordSysRect('c0');c1 = CoordSysRect('c1');cs
> = CoordSysSph('cs')
>
> In [2]: cs.theta * cs.phi
> Out[2]: cs.theta**2
>
> Should I implement __eq__ on BaseScalar?
> (I probably won't be able to respond for 7-8 hours. Going to sleep. Have
> classes tomorrow morning).
>
> On Wednesday, August 28, 2013 10:17:39 PM UTC+5:30, Aaron Meurer wrote:
>
>> On Wed, Aug 28, 2013 at 7:29 AM, Prasoon Shukla
>> <[email protected]> wrote:
>> > I have ran into a caching problem while working on my project for the
>> vector
>> > calcculus module. This occurred while I was debugging the express
>> method on
>> > vector (this isn't really relevant though).
>> >
>> > So, I have a symbol theta and another symbol phi.
>> >
>> >>>> cs.theta
>> > cs.theta
>> >
>> >>>> cs.phi
>> > cs.phi
>> >
>> > cs is an instance of the CoordSysSph class (again, not really relevant
>> to
>> > the problem at hand).
>> >
>> > The problem:
>> >>>> sin(cs.theta) * sin(cs.phi)
>> > sin(cs.theta) ** 2
>> >
>> > Well, in the definition for the cacheit decorator, the dicitionary
>> > func_cache_it_cache exists. Now, when sin(cs.theta) is called, a key,
>> value
>> > pair gets added to the dictionary:
>> >
>> > ((sin, <class 'sympy.core.function.**FunctionClass'>), (cs.theta,
>> <class
>> > 'sympy.vector.vector.**BaseScalar'>))  : sin(cs.theta)
>> >
>> > Now, when SymPy needs to calculate sin(cs.phi), the cacheit decorator
>> is
>> > called again. The lookup key for sin(cs.phi) is generated as:
>> > ((sin, <class 'sympy.core.function.**FunctionClass'>), (cs.phi, <class
>> > 'sympy.vector.vector.**BaseScalar'>))
>>
>> Oh, just noticed this. phi and theta are not Symbols, they are
>> BaseScalars. So you probably did something wrong implementing equality
>> comparison on BaseScalars. What does "cs.phi == cs.theta" give?
>>
>> Can you give a complete code snipped to reproduce this in your branch?
>>
>> Aaron Meurer
>>
>> >
>> > At this point, the func_cache_it_cache does not have the key
>> correspondind
>> > to sin(cs.phi), as it shouldn't. But, here's the catch: running the
>> has_key
>> > method on func_cache_it_cache for this second key (for sin(cs.phi))
>> returns
>> > True. That means, the cache returns sin(cs.theta). And that is what is
>> > causing the problem.
>> >
>> > What can I possibly do here? For the time being, I am going to proceed
>> with
>> > the debugging. When there is a solution for this problem, we can go
>> ahead
>> > and fix this.
>> >
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>>
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