Python SolvableSubModule Beispiele

Beispiel #1

Datei: solvablemodule.py Projekt: Eeeeddddy/gittest

(
 ( y ), ( x ), ( 0i1 x y )
 ( X ), ( Y ), ( 0i1 Y X )
)
"""

r = SolvableModule(rsc)
print "SolvableModule: " + str(r)
print

ps = """
(
 ( ( x + 1 ), ( y ) ),
 ( ( x y ), ( 0 ) ),
 ( ( x - X ), ( x - X ) ),
 ( ( y - Y ), ( y - Y ) )
)
"""

f = SolvableSubModule(r, ps)
print "SolvableSubModule: " + str(f)
print

flg = f.leftGB()
print "seq left GB:", flg
print

ftg = f.twosidedGB()
print "seq twosided GB:", ftg
print

Beispiel #2

r = SolvableModule( rsc );
#r = SolvableModule( rsan );
print "SolvableModule: " + str(r);
print;


ps = """
(
 ( ( x + 1 ), ( y ) ),
 ( ( x y ), ( 0 ) ),
 ( ( x - X ), ( x - X ) ),
 ( ( y - Y ), ( y - Y ) )
)
""";

f = SolvableSubModule( r, ps );
print "SolvableSubModule: " + str(f);
print;

flg = f.leftGB();
print "seq left GB:", flg;
print;


if flg.isLeftGB():
   print "is left GB";
else:
   print "is not left GB";

Beispiel #3

Datei: quantum.py Projekt: lukaszzdanikowski/randoop

r = SolvableModule( rsc );
print "SolvableModule: " + str(r);
print;


ps = """
(
 ( ( x + 1 ), ( y ) ),
 ( ( x y ), ( 0 ) ),
 ( ( x - X ), ( x - X ) ),
 ( ( y - Y ), ( y - Y ) )
)
""";

f = SolvableSubModule( r, ps );
print "SolvableSubModule: " + str(f);
print;

flg = f.leftGB();
print "seq left GB:", flg;
print;

from edu.jas.module   import ModSolvableGroebnerBaseAbstract;

if ModSolvableGroebnerBaseAbstract().isLeftGB( flg.mset ):
   print "is left GB";
else:
   print "is not left GB";

Beispiel #4

print "one = " + str(one);
print "i   = " + str(i);
print "X   = " + str(X);
print "Y   = " + str(Y);
print "x   = " + str(x);
print "y   = " + str(y);

m1 = ( ( x + 1 ), ( y ) )
m2 = ( ( x * y ), ( 0 ) )
m3 = ( ( x - X ), ( x - X ) )
m4 = ( ( y - Y ), ( y - Y ) )

ml = [m1,m2,m3,m4];
#print "ml = " + str(ml);

ssm = SolvableSubModule( sr, list=ml );
print "ssm: " + str(ssm);
print;

xsm = SolvableSubModule(SolvPolyRing(CC(),"X, Y, x, y",PolyRing.lex,rel=[y, x, ( ((0,),(1,)) * x * y ), Y, X, ( ((0,),(1,)) * X * Y )]),list=[ ( x - X, x - X ), ( x + ((1,),), y ), ( y - Y, y - Y ), ( x * y, 0 ) ]);
#     SolvableSubModule(SolvPolyRing(CC(),"X, Y, x, y",PolyRing.lex,rel=[y, x, ( ((0,),(1,)) * x * y ), Y, X, ( ((0,),(1,)) * X * Y )]),list=[ ( x - X, x - X ), ( x + ((1,),), y ), ( y - Y, y - Y ), ( x * y, 0 ) ]);
#     SolvableSubModule(SolvPolyRing(CC(),"X, Y, x, y",PolyRing.lex,(( y ), ( x ), ( ((0,),(1,)) * x * y ),( Y ), ( X ), ( ((0,),(1,)) * X * Y ))),list=[ ( x - X, x - X ), ( x + ((1,),), y ), ( y - Y, y - Y ), ( x * y, 0 ) ]);
print "xsm: " + str(xsm);
print;

mlg = ssm.leftGB();
print "mlg: " + str(mlg);
print;

mtg = ssm.twosidedGB();
print "mtg: " + str(mtg);

Beispiel #5

Datei: quantumplane_syz.py Projekt: siwiwit/java-algebra-system

ps = """
(
 ( ( x + 1 ), ( y ) ),
 ( ( x y ), ( 0 ) ),
 ( ( x - X ), ( x - X ) ),
 ( ( y - Y ), ( y - Y ) )
)
"""
# ( ( y^2 x ) ),
# ( ( y^3 x^2 ) )
# ( ( x + 1 ) ),
# ( ( x + 1 ), ( y ) ),
# ( ( x y ), ( 0 ) )


f = SolvableSubModule(r, ps)
print "SolvableSubModule: " + str(f)
print

# flg = f.leftGB();
# print "seq left GB Output:", flg;
# print;

ftg = f.twosidedGB()
print "seq twosided GB Output:", ftg
print


from edu.jas.gbufd import SolvableSyzygySeq

# from edu.jas.gbmod  import ModSolvableGroebnerBase;

Beispiel #6

Datei: solvablemodule.py Projekt: rjolly/jas

r = SolvableModule( rsc );
#r = SolvableModule( rsan );
print "SolvableModule: " + str(r);
print;


ps = """
(
 ( ( x + 1 ), ( y ) ),
 ( ( x y ), ( 0 ) ),
 ( ( x - X ), ( x - X ) ),
 ( ( y - Y ), ( y - Y ) )
)
""";

f = SolvableSubModule( r, ps );
print "SolvableSubModule: " + str(f);
print;


flg = f.leftGB();
print "seq left GB:", flg;
print;


ftg = f.twosidedGB();
print "seq twosided GB:", ftg;
print;

# split term order not supported for rightGB

Beispiel #7

f = rs.ideal("", [t**2 + z**2 + x**2 + y**2 + 1])
print "f: " + str(f)
tf = f.twosidedGB()
print "t: " + str(tf)
print

#exit(0)

r = SolvableModule("", rs)
print "SolvableModule: " + str(r)
print

subm = [[0, t**2 + z**2 + x**2 + y**2 + 1], [x**2 + y**2, z]]

m = SolvableSubModule(r, "", subm)
print "SolvableSubModule: " + str(m)
print

#exit()
#startLog();

lg = m.leftGB()
print "seq left GB: " + str(lg)
print "is left GB: " + str(lg.isLeftGB())
print

tg = m.twosidedGB()
print "seq twosided GB: " + str(tg)
print "is twosided GB: " + str(tg.isTwosidedGB())
print "is right GB: " + str(tg.isRightGB())

Beispiel #8

Datei: solv_module_ts.py Projekt: rjolly/jas

tf = f.twosidedGB();
print "t: " + str(tf);
print;

#exit(0)

r = SolvableModule("",rs);
print "SolvableModule: " + str(r);
print;

subm = [
         [ 0, t**2 + z**2 + x**2 + y**2 + 1],
         [ x**2 + y**2,     z ]
       ];

m = SolvableSubModule( r, "", subm );
print "SolvableSubModule: " + str(m);
print;

#exit()
#startLog();

lg = m.leftGB();
print "seq left GB: " + str(lg);
print "is left GB: " + str(lg.isLeftGB());
print;

tg = m.twosidedGB();
print "seq twosided GB: " + str(tg);
print "is twosided GB: " + str(tg.isTwosidedGB());
print "is right GB: " + str(tg.isRightGB());

Beispiel #9

Datei: all_rings.py Projekt: rjolly/jas

print "one = " + str(one);
print "i   = " + str(i);
print "X   = " + str(X);
print "Y   = " + str(Y);
print "x   = " + str(x);
print "y   = " + str(y);

m1 = ( ( x + 1 ), ( y ) )
m2 = ( ( x * y ), ( 0 ) )
m3 = ( ( x - X ), ( x - X ) )
m4 = ( ( y - Y ), ( y - Y ) )

ml = [m1,m2,m3,m4];
#print "ml = " + str(ml);

ssm = SolvableSubModule( sr, list=ml );
print "ssm: " + str(ssm);
print;

xsm = SolvableSubModule(SolvPolyRing(CC(),"X, Y, x, y",PolyRing.lex,rel=[y, x, ( ((0,),(1,)) * x * y ), Y, X, ( ((0,),(1,)) * X * Y )]),list=[ ( x - X, x - X ), ( x + ((1,),), y ), ( y - Y, y - Y ), ( x * y, 0 ) ]);
#     SolvableSubModule(SolvPolyRing(CC(),"X, Y, x, y",PolyRing.lex,rel=[y, x, ( ((0,),(1,)) * x * y ), Y, X, ( ((0,),(1,)) * X * Y )]),list=[ ( x - X, x - X ), ( x + ((1,),), y ), ( y - Y, y - Y ), ( x * y, 0 ) ]);
#     SolvableSubModule(SolvPolyRing(CC(),"X, Y, x, y",PolyRing.lex,(( y ), ( x ), ( ((0,),(1,)) * x * y ),( Y ), ( X ), ( ((0,),(1,)) * X * Y ))),list=[ ( x - X, x - X ), ( x + ((1,),), y ), ( y - Y, y - Y ), ( x * y, 0 ) ]);
print "xsm: " + str(xsm);
print;

mlg = ssm.leftGB();
print "mlg: " + str(mlg);
print;

mtg = ssm.twosidedGB();
print "mtg: " + str(mtg);

Beispiel #10

Datei: solv_module_ts.py Projekt: siwiwit/java-algebra-system

tf = f.twosidedGB();
print "t: " + str(tf);
print;

#exit(0)

r = SolvableModule("",rs);
print "SolvableModule: " + str(r);
print;

subm = [
         [ 0, t**2 + z**2 + x**2 + y**2 + 1],
         [ x**2 + y**2,     z ]
       ];

m = SolvableSubModule( r, "", subm );
print "SolvableSubModule: " + str(m);
print;

#exit()
#startLog();

lg = m.leftGB();
print "seq left GB: " + str(lg);
print "is left GB: " + str(lg.isLeftGB());
print;

tg = m.twosidedGB();
print "seq twosided GB: " + str(tg);
print "is twosided GB: " + str(tg.isTwosidedGB());
print "is right GB: " + str(tg.isRightGB());