rtest_clifford5.mac

/*******************************
Clifford algebra
a lightweight package for performing Geometric Algebra calculations

tests for version
 v 2.4
 
usage:
file_search_maxima: append (file_search_maxima,["/path/to/clifford.mac"]);
batch("rtest_clifford", test);

@depends clifford.mac

**********************************
 * @license This library is free software; you can redistribute it and/or
 *      modify it under the terms of the GNU Lesser General Public
 *      License as published by the Free Software Foundation; either
 *      version 2.1 of the License, or (at your option) any later version.
 *
 *      This library is distributed in the hope that it will be useful,
 *      but WITHOUT ANY WARRANTY; without even the implied warranty of
 *      MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
 *       Lesser General Public License for more details.
 *
 *      You should have received a copy of the GNU Lesser General Public
 *      License along with this library; if not, write to the Free Software
 *      Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA  02111-1307  USA
 */
 (kill(all),
  %start : absolute_real_time(),
    %path:"C:/Dropbox/maxima/$$$.{mac,mc}",
  file_search_maxima:append (file_search_maxima , [%path]),
  load("clifford"),
  'done);
'done$
get('clifford,'version);
v24$
block(
	"init Cl(2,2)",
	clifford(e,3)
);
[1,1,1]$
E:elements();
[e[1],e[2],e[3],e[1] . e[2],e[1] . e[3],e[2] . e[3],e[1] . e[2] . e[3]]$
dual(E);
[e[2] . e[3],e[1] . e[3],e[1] . e[2],e[3],e[2],e[1],1]$
E2:clihdual(E);
[-e[2] . e[3],e[1] . e[3],-e[1] . e[2],e[3],-e[2],e[1],1]$
clihdual(E2);
[-e[1],-e[2],-e[3],-e[1] . e[2],-e[1] . e[3],-e[2] . e[3],-e[1] . e[2] . e[3]]$