see inline!
On Mon, Jun 11, 2012 at 5:10 PM, Sergiu Ivanov
<[email protected]> wrote:
> On Tue, Jun 12, 2012 at 12:05 AM, Kjetil brinchmann Halvorsen
> <[email protected]> wrote:
>>
>> A follow-upQ : applyfunc seems to only take one argument, the function
>> to apply (It also seems to apply only for matrices, which is strange?)
>> Now, trigsimp do not seem to work (the call works, but the result is
>> unmodified,
>> although I know it is possible to apply rules for getteing
>> sin/cos(theta+/- psi) from difference/sum of product of form
>> sin(theta)cos(psi) etc, but they are not applied!
>
> What are your expressions? It may happen that trigsimp does not know
> how to handle them.
>
>> Now trigsimp has some further arguments, like deep, but they cannot be
>> given with applyfunc?
>
> Use something like:
>
> M.applyfunc(lambda x: trigsimp(x, deep=True))
>
> Just off the top of my head; I haven't tested it, but it should work.
works, but does not simplify. My expressions are:
In [1]: t,s = symbols('t s',real=True)
In [2]: l1,l2 = symbols(' l1 l2', real=True)
In [3]: O= Matrix([[cos(t), -sin(t)],[sin(t), cos(t)]]
...: )
In [4]: V=Matrix([[cos(s),-sin(s)],[sin(s),cos(s)]])
In [5]: L = Matrix([[l1**2,0],[0,l2**2]])
In [23]: E = O * V * L * V.transpose()
In [24]: E.applyfunc(lambda x: trigsimp(x,deep=True))
Out[24]:
⎡ 2 2
⎢l₁ ⋅(-sin(s)⋅sin(t) + cos(s)⋅cos(t))⋅cos(s) - l₂ ⋅(-sin(s)⋅cos(t) - sin(t)⋅co
⎢
⎢ 2 2
⎣l₁ ⋅(sin(s)⋅cos(t) + sin(t)⋅cos(s))⋅cos(s) - l₂ ⋅(-sin(s)⋅sin(t) + cos(s)⋅cos
2 2
s(s))⋅sin(s) l₁ ⋅(-sin(s)⋅sin(t) + cos(s)⋅cos(t))⋅sin(s) + l₂ ⋅(-sin(s)⋅cos(t
2 2
(t))⋅sin(s) l₁ ⋅(sin(s)⋅cos(t) + sin(t)⋅cos(s))⋅sin(s) + l₂ ⋅(-sin(s)⋅sin(t)
⎤
) - sin(t)⋅cos(s))⋅cos(s)⎥
⎥
⎥
+ cos(s)⋅cos(t))⋅cos(s) ⎦
Kjetil
>
> Sergiu
>
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