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#
# jython examples for jas.
# $Id: cgb_3.py 2882 2009-11-27 17:48:55Z kredel $
#
import sys;
from jas import Ring
from jas import ParamIdeal
from jas import startLog
from jas import terminate
# 2 univariate polynomials of degree 2 example for comprehensive GB
# integral/rational function coefficients
#r = Ring( "RatFunc(u,v) (x,y) L" );
r = Ring( "IntFunc(a3, b3, a2, b2, a1, b1, a0, b0) (x) L" );
print "Ring: " + str(r);
print;
ps = """
(
( { a3 } x^3 + { a2 } x^2 + { a1 } x + { a0 } ),
( { b3 } x^3 + { b2 } x^2 + { b1 } x + { b0 } )
)
""";
f = r.paramideal( ps );
print "ParamIdeal: " + str(f);
print;
#sys.exit(); # long run time
startLog();
gs = f.CGBsystem();
print "CGBsystem: " + str(gs);
print;
#sys.exit();
bg = gs.isCGBsystem();
if bg:
print "isCGBsystem: true";
else:
print "isCGBsystem: false";
print;
#sys.exit();
gs = f.CGB();
print "CGB: " + str(gs);
print;
sys.exit();
bg = gs.isCGB();
if bg:
print "isCGB: true";
else:
print "isCGB: false";
print;
terminate();
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