December 2007 - GiNaC-list

Airy functions
by Jan Bos 02 Jan '08

02 Jan '08

Dear All, Please find attached an arbitrary precision implementation of AiryAi, AiryBi and their derivatives. The implementation is based on the following paper: A. Gil, J. Segura, N.M. Temme, ``Computing complex Airy functions by numerical quadrature'', Report MAS-R0117, 2001. which is also attached. This work was conducted as part of the European FP6 project; "Photonic Integrated devices in Activated Amorphous and Crystalline Oxides" (PI-Oxide) http://pi-oxide.el.utwente.nl/ that granted permission to publish the code in the public domain. We would be grateful if you would consider the code for inclusion in a future release. Best regards Jan Bos PhoeniX Phone: +31 53 4836460 PO Box 545, 7500 AM Enschede, The Netherlands

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[SCM] GiNaC -- a C++ library for symbolic computations branch, ginac_1-3, updated. release_1-3-8-21-g95740dd
by varg＠theor.jinr.ru 28 Dec '07

28 Dec '07

This is an automated email from the git hooks/post-receive script. It was generated because a ref change was pushed to the repository containing the project "GiNaC -- a C++ library for symbolic computations". The branch, ginac_1-3 has been updated via 95740dd1b3600687fa4472bad9e518e3a03d3ba4 (commit) from 585f734a55ffc161ee67e3b1c0af11d487fb2821 (commit) Those revisions listed above that are new to this repository have not appeared on any other notification email; so we list those revisions in full, below. - Log ----------------------------------------------------------------- commit 95740dd1b3600687fa4472bad9e518e3a03d3ba4 Author: Alexei Sheplyakov <varg(a)theor.jinr.ru> Date: Sat Dec 15 00:07:04 2007 +0300 check/*_memleak.cpp: fix botched CVS commit[s]. ----------------------------------------------------------------------- Summary of changes: check/mul_eval_memleak.cpp | 14 +++++++------- check/parser_memleak.cpp | 2 +- 2 files changed, 8 insertions(+), 8 deletions(-) hooks/post-receive -- GiNaC -- a C++ library for symbolic computations

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[SCM] GiNaC -- a C++ library for symbolic computations branch, master, updated. release_1-4-0-24-g3c32758
by varg＠theor.jinr.ru 28 Dec '07

28 Dec '07

This is an automated email from the git hooks/post-receive script. It was generated because a ref change was pushed to the repository containing the project "GiNaC -- a C++ library for symbolic computations". The branch, master has been updated via 3c3275884e65193743d4b2bcd98637949791aef8 (commit) via 37678db7297076f166969b92d5d96f1d46b7fdee (commit) from eb207d1c42ae5aed9ed6d9695a4ff44f62d72540 (commit) Those revisions listed above that are new to this repository have not appeared on any other notification email; so we list those revisions in full, below. - Log ----------------------------------------------------------------- commit 3c3275884e65193743d4b2bcd98637949791aef8 Author: Alexei Sheplyakov <varg(a)theor.jinr.ru> Date: Fri Dec 28 17:51:16 2007 +0300 kill spurious comma in flags.h commit 37678db7297076f166969b92d5d96f1d46b7fdee Author: Alexei Sheplyakov <varg(a)theor.jinr.ru> Date: Sat Dec 15 00:07:04 2007 +0300 check/*_memleak.cpp: fix botched CVS commit[s]. ----------------------------------------------------------------------- Summary of changes: check/mul_eval_memleak.cpp | 14 +++++++------- check/parser_memleak.cpp | 2 +- ginac/flags.h | 2 +- 3 files changed, 9 insertions(+), 9 deletions(-) hooks/post-receive -- GiNaC -- a C++ library for symbolic computations

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[SCM] GiNaC -- a C++ library for symbolic computations branch, ginac_1-4, updated. release_1-4-0-30-g3fdbaa2
by varg＠theor.jinr.ru 28 Dec '07

28 Dec '07

This is an automated email from the git hooks/post-receive script. It was generated because a ref change was pushed to the repository containing the project "GiNaC -- a C++ library for symbolic computations". The branch, ginac_1-4 has been updated via 3fdbaa235a47f051c10fe7f5bb559207f4f566bf (commit) via d7e5713c7cba7bbe88d07bd19bdb6f04116a0c05 (commit) from 11aa51fcd42465d86a996a468768bb0d2c2c57f2 (commit) Those revisions listed above that are new to this repository have not appeared on any other notification email; so we list those revisions in full, below. - Log ----------------------------------------------------------------- commit 3fdbaa235a47f051c10fe7f5bb559207f4f566bf Author: Alexei Sheplyakov <varg(a)theor.jinr.ru> Date: Fri Dec 28 17:51:16 2007 +0300 kill spurious comma in flags.h commit d7e5713c7cba7bbe88d07bd19bdb6f04116a0c05 Author: Alexei Sheplyakov <varg(a)theor.jinr.ru> Date: Sat Dec 15 00:07:04 2007 +0300 check/*_memleak.cpp: fix botched CVS commit[s]. ----------------------------------------------------------------------- Summary of changes: check/mul_eval_memleak.cpp | 14 +++++++------- check/parser_memleak.cpp | 2 +- ginac/flags.h | 2 +- 3 files changed, 9 insertions(+), 9 deletions(-) hooks/post-receive -- GiNaC -- a C++ library for symbolic computations

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spurious "," in flags.hpp
by Bernd Speiser 28 Dec '07

28 Dec '07

Hi all, we have recently installed GiNaC 1.4.0 on an openSuSE 10.3 system with gcc 4.2.1. The installation procedure was ok, but when using GiNaC we encountered a spurious comma "," in file flags.h on line 41. Maybe this has been corrected in the meantime, but I couldn't find any information. Regards Bernd -- ======================================================================= Bernd Speiser Institut für Organische Chemie Auf der Morgenstelle 18 temporary address: Auf der Morgenstelle 15 D-72076 Tübingen Germany phone: +49-7071-2976205 (office) +49-7071-2976242 (laboratory) +49-7071-2972098 (secretary) fax: +49-7071-295518 e-mail: bernd.speiser(a)uni-tuebingen.de Internet: http://www.uni-tuebingen.de/speiser =======================================================================

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Re: Airy functions
by Jan Bos 24 Dec '07

24 Dec '07

Dear Alexei, Thank you for your interest and careful examination of the code. I made an effort to fit the functions in the GiNaC framework and got series expansions etc. more or less for free. I'm looking forward to seeing the result when it meets the GiNaC standards. To answer your questions a fundamental property of the algorithm is needed: Depending on the argument a so called "steepest descent" contour is determined along which the integrand is monotonically decreasing. This ensures that a) roundoff does not occur, b) the range over which the integrand has to be evaluated to obtain a certain accuracy is minimized and c) the dominant factor (possibly very larger or small) can be placed outside the integral. Furthermore all derivatives at +/- infinity are zero. For functions with this property the trapezoidal rule has exponential convergence, that is, halving the stepsize more than doubles the number of significant digits of the result. For an integrator with non-constant step size this property would be lost. > AiryContour* pcntr=createAiryContour(zn); > > Pointers are evil. What is the reason for explicit allocation/deallocation? > Again depending on the argument (zn) but more involved, 3 different types of contours are needed of which one is the truly steepest descent contour and the other 2 are approximations thereof. AiryContour is the base class of them. I hope this answers your questions Best regards, Jan

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A differential geometry-specific extension
by Diego Conti 21 Dec '07

21 Dec '07

Hi, I have been working on an extension to GiNaC for differential geometry, and I have released a first version, available from <https://sourceforge.net/projects/libwedge/>. Current features include: - Vector spaces: determine a basis from a list of generators, and similar computations. - Manifolds and differential forms: exterior derivative; wedge product. - Lie groups: the general linear group; subgroups determined by the choice of a subalgebra; abstract Lie groups defined in abbreviated form, e.g. writing (0,0,12) for the Heisenberg group, characterized by the existence of a basis of left-invariant one-forms e1,e2,e3 such that de3=e1 ^ e2 and e1,e2 are closed. - Riemannian metrics and G-structures, defined on a Lie group or a coordinate patch of a generic manifold, and represented by an orthonormal basis of 1-forms (adapted frame); spinors, Clifford multiplication. - Connections: the Levi-Civita connection; curvature; covariant derivatives; define connections on generic manifolds and impose conditions on the Christoffel symbols, e.g. to obtain curvature conditions. I thought maybe someone in this list would be interested. Diego Conti

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ginac installation
by alexander baker 05 Dec '07

05 Dec '07

Am getting the following error when I try and make GiNac, the configure step has worked ok, please see below. Regards Alex Baker. Configuration of GiNaC done. Now type "make". root@treebeard:/home/bakera/inglethorpe/ginac/GiNaC# make cd . \ && CONFIG_FILES= CONFIG_HEADERS=config.h \ /bin/bash ./config.status config.status: creating config.h config.status: config.h is unchanged make all-recursive make[1]: Entering directory `/home/bakera/inglethorpe/ginac/GiNaC' Making all in ginac make[2]: Entering directory `/home/bakera/inglethorpe/ginac/GiNaC/ginac' @LIBTOOL@ --mode=compile g++ -DHAVE_CONFIG_H -I. -I. -I.. /usr/local/lib -g -O2 -c add.cpp /bin/bash: line 1: @LIBTOOL@: command not found make[2]: *** [add.lo] Error 127 make[2]: Leaving directory `/home/bakera/inglethorpe/ginac/GiNaC/ginac' make[1]: *** [all-recursive] Error 1 make[1]: Leaving directory `/home/bakera/inglethorpe/ginac/GiNaC' make: *** [all-recursive-am] Error 2 -- Mobile: 07788 872118 Blog: www.alexfb.com

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problem running ginac
by alexander baker 04 Dec '07

04 Dec '07

The configure, make and install worked fine, however compiling a simple example below gives the following: #include <iostream> #include <ginac/ginac.h> using namespace std; using namespace GiNaC; int main(){ numeric two = 2; } Running on Ubuntu dual core amd 64 bit. Alex /usr/local/lib/libginac.so: undefined reference to `GiNaC::get_symbol_name(GiNaC::ex const&)' /usr/local/lib/libginac.so: undefined reference to `GiNaC::is_lexer_symbol_predefined(GiNaC::ex const&)' /usr/local/lib/libginac.so: undefined reference to `ginac_yytext' /usr/local/lib/libginac.so: undefined reference to `GiNaC::set_lexer_symbols(GiNaC::ex)' /usr/local/lib/libginac.so: undefined reference to `ginac_yylex()' /usr/local/lib/libginac.so: undefined reference to `GiNaC::set_lexer_string(std::basic_string<char, std::char_traits<char>, std::allocator<char> > const&)' /usr/local/lib/libginac.so: undefined reference to `ginac_yyrestart(_IO_FILE*)' collect2: ld returned 1 exit status -- Mobile: 07788 872118 Blog: www.alexfb.com

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