[SciPy-User] Derivative in scipy?

[josef.pktd at gmail.com]

On Sun, Oct 30, 2011 at 1:57 PM, Warren Weckesser
<warren.weckesser at enthought.com> wrote:
>
>
> On Sun, Oct 30, 2011 at 12:55 PM, Warren Weckesser
> <warren.weckesser at enthought.com> wrote:
>>
>>
>> On Sun, Oct 30, 2011 at 11:03 AM, <josef.pktd at gmail.com> wrote:
>>>
>>> 2011/10/30 François Boulogne <boulogne.f at gmail.com>:
>>> >
>>> > -----BEGIN PGP SIGNED MESSAGE-----
>>> > Hash: SHA1
>>> >
>>> > Dear all,
>>> >
>>> > I was wondering if a piece of code has been developped for derivative
>>> > calculations, espacially for a sample (array of points) like for
>>> > integration:
>>> > http://docs.scipy.org/doc/scipy/reference/tutorial/integrate.html with
>>> > different methods (right or left first derivatives, second
>>> > derivatives...)
>>> > I didn't succeed in finding this in the documentation. Does it exist?
>>> > If
>>> > not, is it planned by someone?
>>>
>>> There is one helper function in scipy.optimize
>>> (scipy.optimize.optimize), nothing else in scipy.
>>
>>
>> Well, not exactly "nothing else"...
>> (eat's email arrived as I was typing this, so it will echo some of what he
>> said.)
>>
>> Functions that operate on a discrete sample:
>>
>> numpy.diff
>>     This can be used to compute a derivative by dividing by the
>> appropriate
>>     power of dx.
>>
>> numpy.ediff1d
>>     Like numpy.diff, but strictly for 1D arrays.  It also provides the
>> option
>>     for specifying values to append to the ends of the array before
>> computing
>>     the difference.
>>
>> numpy.gradient
>>     Return the gradient of an n-d array.
>>
>> scipy.fftpack.diff
>>     Derivative of a periodic sequence.
>>     See http://www.scipy.org/Cookbook/KdV for an example.
>>
>>
>> Functions that operate on a callable function:
>>
>> scipy.misc.derivative
>>     Find the n-th derivative of a function at point x0.
>>
>> scipy.misc.central_difference_weights
>>     Return weights for an Np-point central derivative
>
>
> Correction:  I put this in the wrong list;  central_difference_weights is
> just a utility function for computing weights (as the name says). It does
> not compute derivatives of a callable function.
>
> Warren
>
>
>>
>> scipy.optimize.approx_fprime
>>     No docstring (sigh), but from the source code (use approx_fprime?? in
>>     ipython), it is pretty easy to figure out what it does.
>>
>>
>> Having said that, I think a module specifically for computing derivatives
>> (with good docs and tests), as being discussed in the ticket #1510
>> (http://projects.scipy.org/scipy/ticket/1510) would be a nice addition.
>>
>>
>> Warren

Ok. I take back the "nothing else" for the original question since in
reading to fast, I misinterpreted the initial question with what I
usually need, derivatives of a function in several arguments.

Josef

>>
>>>
>>> My standard recommendation for finite differences is numdifftools,
>>> it's on pypi. There is a ticket that asks for it's inclusion in scipy,
>>> IIRC.
>>>
>>> There are some packages on automatic differentiation.
>>>
>>> (and we have our own hacked together numdiff in statsmodels, just for
>>> optimization and Hessian calculations.)
>>>
>>> Josef
>>>
>>>
>>> >
>>> > Thanks.
>>> > Cheers,
>>> >
>>> > - --
>>> > François Boulogne.
>>> >
>>> > Membre de l'April - Promouvoir et défendre le logiciel libre
>>> > http://www.april.org
>>> > -----BEGIN PGP SIGNATURE-----
>>> > Version: GnuPG v1.4.11 (GNU/Linux)
>>> >
>>> > iQIcBAEBAgAGBQJOrXHDAAoJEKkn15fZnrRLxbYP/3/NUzU5metNhGc4tw6Uo0mw
>>> > kIlAxf1cvtopbJ+JTXrmKkJpyYUI1bMsqVKpPniW073dgPAfAX3Bajymysh5Hgnd
>>> > 5+0hh7v8JmsIvKm9HrEePSrENYrIVTfFyvRV+tBLhkfHJ9Vj7uUy7a3/lyRS6s7v
>>> > FEItXLhkNYtqEir8h2eZ7uW178mwq6nBl6Zi5UOjOXq7u0SxcnusKkYyiL+CirSN
>>> > KafcrU+rUdHw6khE1exj435GMSKx+N3+rV/kDAQWWQc0ncWmdX2Jr7PapT1DQbNN
>>> > b3UK2NjYGDZE2NMRuZmRmeTIk2S+PVPqRxEu0x62CS4Y4JnTaZx1xSiPGP0d9cZC
>>> > NG4/9h0LFM8rxj/kxYjBakbIs6LhwPnS1ZvYf00o3eaY4+tLGx3UozoLpEWSCOuQ
>>> > GrONTWvdUlfVWsd3qOhwCj+NORkz9yXJNqJHulgz6T8fKnMyPL+R80XfRuS1alxj
>>> > m166ySHxrPDzwiSlV5vWR/1ajrEMAI/GYev55dtzlIx6hxfLVCOryFei/LNtlrN+
>>> > lYK48QqateqvLDs+NUq+7azmCAkc8fW5UeD7bBLdoGwlXvYaOEZh8+lzxU2sc0T4
>>> > 93kNZAzOzv/CdcI1uhnp2NP8ODGEyRLx5cUlcKqmF/iAqtM2zc5Zca9YiygR2w83
>>> > XQsGdZYw4rkVMnUTk6Ep
>>> > =/Nlz
>>> > -----END PGP SIGNATURE-----
>>> >
>>> > _______________________________________________
>>> > SciPy-User mailing list
>>> > SciPy-User at scipy.org
>>> > http://mail.scipy.org/mailman/listinfo/scipy-user
>>> >
>>> _______________________________________________
>>> SciPy-User mailing list
>>> SciPy-User at scipy.org
>>> http://mail.scipy.org/mailman/listinfo/scipy-user
>>
>
>
> _______________________________________________
> SciPy-User mailing list
> SciPy-User at scipy.org
> http://mail.scipy.org/mailman/listinfo/scipy-user
>
>