Re: Polynomials in arbitrary basis

[Vladislav Malyshkin]

Juan,
it is now available from https://yadi.sk/d/AtPJ4a8copmZJ?locale=en
the file  polynomial_code.June_17_2018.zip
Vladislav

On 06/17/2018 04:21 PM, Juan Pablo Carbajal wrote:
> Hi,
>
> There is little use of static zip sent around. Better set up a public
> repository (gitlab, bitbucket, etc...) and share that.
> I never linked java code to Octave, but since Java is a dependency of
> Octave I can imagine it is very simple. Maybe you want to ask around
> before investing time in re.writing your code.
>
> I would say that the functionality is very important so if you do noot
> have time to make a package of it, then we put it for the next summer
> of code... or a bachelor student somewhere!
>
> Regards,
>
>
> On Sun, Jun 17, 2018 at 10:06 PM, Vladislav Malyshkin <address@hidden> wrote:
>> Juan,
>> The code is java written, I do not have octave package. Only java.
>> Earlier version (bundled with other code) is available at
>> https://yadi.sk/d/AtPJ4a8copmZJ?locale=en file
>> AMuseOfCashFlowAndLiquidityDeficit.20_Sept_2017.zip
>> latest code version (minor API changes & code structure) is attached to this
>> e-mail: polynomial_code.zip (this is preferred version to use, I did not
>> release it yet, but changes from Sept 20 1017 version are really minor (few
>> functions renamed))
>> There are basically two API of interest to you:
>>
>> Generalized polynomial basis functionality
>> com/polytechnik/utils/BasisPolynomials.java
>> Gauss--type quadratures calculation in generalized basis
>> com/polytechnik/utils/OrthogonalPolynomialsABasis.java
>>
>> These API are implemented for Chebyshev, Legendre, HermiteE, Laguerre,
>> Shifted Legendre, Monomials  bases.
>> Polynomials operations are implemented in
>> com/polytechnik/utils/{Chebyshev,Legendre,HermiteE,Laguerre,LegendreShifted,Monomials}.java
>> with built-in selftest (e.g. run java com/polytechnik/utils/Chebyshev to
>> selftest the class).
>>
>> There are not that much code there, it may be easier to re-implement that
>> code natively  in octave, rather than do any java-wrapper, especially
>> because my quadraures (not polynomial) code call few lapack subs converted
>> from fortran, it is probably better for octave to call Lapack subs
>> directly). All my code is under GPL.
>>
>> Polynomials manipulation and Gauss--type quadratures calculation in
>> generalized basis is described in https://arxiv.org/pdf/1510.05510 ,
>> Appendix A & B, page 30.
>>
>> Vladislav
>>
>> P.S. To test the code
>> unzip polynomial_code.zip
>> javac -g com/polytechnik/*/*java
>> # then one can run selftest for, say, Legendre Basis & Quadratures
>> calculation in Legendre basis.
>> java  com/polytechnik/utils/Legendre
>> java  com/polytechnik/utils/OrthogonalPolynomialsLegendreBasis
>> # to run all selftests
>> java  com/polytechnik/utils/UnitTests
>>
>> P.P.S. http://www.chebfun.org/docs/guide/chebfun_guide.pdf by Lloyd N.
>> Trefethen is good, but has different goals.
>>
>> On 06/17/2018 02:49 PM, Juan Pablo Carbajal wrote:
>>
>> Hi,
>>
>> Sounds interesting. Could you share the repository where you host your code?
>> Also, you can create a package, compress it and provide an url, this
>> way anybody can install it from within octave
>>
>> pkg install http://your.url
>>
>> needs Octave >= 4.4
>>
>>
>> On Sat, Jun 16, 2018 at 9:39 PM, Vladislav Malyshkin <address@hidden> wrote:
>>
>> Octave currently has polynomials manipulation functionality
>> https://octave.org/doc/v4.0.3/Polynomial-Manipulations.html
>> only in monomials basis: sum ckxk
>> In practice it is often very convenient to have polynomial represented in
>> other polynomials basis: sum ckQk(x)
>> where the basis  Qk(x) is orthogonal polynomials of some kind.
>> There is my implementation of polynomials manipulation functionality (and
>> Gauss-type quadratures calculation) in the basis of Chebyshev, Legendre,
>> Laguerre, Hermite bases.
>> The code is available under GPL and is java-written (however it will not be
>> much a problem to rewrite it in C/C++).
>> You can read about code at https://arxiv.org/pdf/1510.05510 see Appendix A &
>> B.
>> Let me know if you have any interest.
>> Vladislav
>> P.S. From the other alternative basis software I know only matlab-written
>> http://www.chebfun.org/ by Alex Townsend, but his project has different
>> goals.
>>
>>