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Re: Polynomials in arbitrary basis

From: Juan Pablo Carbajal
Subject: Re: Polynomials in arbitrary basis
Date: Sun, 17 Jun 2018 22:21:58 +0200


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!


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.

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