#
# jython examples for jas.
# $Id$
#
## \begin{PossoExample}
## \Name{Hawes2}
## \Parameters{a;b;c}
## \Variables{x;y[2];z[2]}
## \begin{Equations}
## x+2y_1z_1+3ay_1^2+5y_1^4+2cy_1 \&
## x+2y_2z_2+3ay_2^2+5y_2^4+2cy_2 \&
## 2 z_2+6ay_2+20 y_2^3+2c \&
## 3 z_1^2+y_1^2+b \&
## 3z_2^2+y_2^2+b \&
## \end{Equations}
## \end{PossoExample}


import sys;

from jas import Ring, PolyRing, ZM, GF
from jas import startLog, terminate

# Hawes & Gibson example 2
# modular rational function coefficients, token parsing

#r = Ring( "ModFunc 17 (a, c, b) (y2, y1, z1, z2, x) G" );
r = PolyRing( PolyRing(GF(17),"a, c, b",PolyRing.lex), "y2, y1, z1, z2, x", PolyRing.grad );
print "Ring: " + str(r);
print;

ps = """
(
 ( x + 2 y1 z1 + { 3 a } y1^2 + 5 y1^4 + { 2 c } y1 ),
 ( x + 2 y2 z2 + { 3 a } y2^2 + 5 y2^4 + { 2 c } y2 ), 
 ( 2 z2 + { 6 a } y2 + 20 y2^3 + { 2 c } ), 
 ( 3 z1^2 + y1^2 + { b } ), 
 ( 3 z2^2 + y2^2 + { b } ) 
) 
""";

f = r.ideal( ps );
print "Ideal: " + str(f);
print;

rg = f.GB();
rg = f.GB();
rg = f.GB();
print "GB:", rg;
print;

bg = rg.isGB();
print "isGB:", bg;
print;

startLog();
terminate();

