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Python jas.Ring类代码示例

本文整理汇总了Python中jas.Ring类的典型用法代码示例。如果您正苦于以下问题：Python Ring类的具体用法？Python Ring怎么用？Python Ring使用的例子？那么恭喜您, 这里精选的类代码示例或许可以为您提供帮助。


在下文中一共展示了Ring类的15个代码示例，这些例子默认根据受欢迎程度排序。您可以为喜欢或者感觉有用的代码点赞，您的评价将有助于系统推荐出更棒的Python代码示例。

示例1: Ring

#
# jython examples for jas.
# $Id: mark.py 1429 2007-10-13 12:58:29Z kredel $
#

#import sys;

from jas import Ring
from jas import Ideal
from jas import startLog

# mark, d-gb diplom example

r = Ring( "Z(x,y,z) L" );
print "Ring: " + str(r);
print;

ps = """
( 
 ( z + x y**2 + 4 x**2 + 1 ),
 ( y**2 z + 2 x + 1 ),
 ( x**2 z + y**2 + x )
) 
""";

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

from edu.jas.ring import EGroebnerBaseSeq;
from edu.jas.ring import DGroebnerBaseSeq;
开发者ID:lukaszzdanikowski，项目名称:randoop，代码行数:31，代码来源:mark.py

示例2: QQ

print "c:", c;
print;

## c1 = c.evaluate( QQ(0) );
## print "c1:", c1;
## print;

s2c2 = s*s+c*c; # sin^2 + cos^2 = 1
print "s2c2:", s2c2;
print;

#sys.exit();

# conversion from polynomials

pr = Ring("Q(x,y,z) L");
print "pr:", pr;
print;

[one,xp,yp,zp] = pr.gens();

p1 = one;
p2 = one - yp;

ps1 = psr.fromPoly(p1);
ps2 = psr.fromPoly(p2);

# rational function as power series:
ps3 = ps1 / ps2;

print "p1:", p1;
开发者ID:rjolly，项目名称:jas，代码行数:31，代码来源:powerseries_multi.py

示例3: Ring

#
# jython examples for jas.
# $Id$
#

from jas import Ring
from jas import Ideal

# logic example from Kreutzer JdM 2008

r = Ring( "Mod 2 (a,f,p,u) G" );
print "Ring: " + str(r);
print;

ks = """
(
 ( a^2 - a ),
 ( f^2 - f ),
 ( p^2 - p ),
 ( u^2 - u )
)
""";

ps = """
(
 ( p f + p ),
 ( p u + p + u + 1 ),
 ( a + u + 1 ),
 ( a + p + 1 )
)
""";
开发者ID:，项目名称:，代码行数:31，代码来源:

示例4: Ring

#

from java.lang import System
from java.lang import Integer

from jas import Ring
from jas import Ideal
from jas import terminate
from jas import startLog

# polynomial examples: gcd

#r = Ring( "Mod 1152921504606846883 (x,y,z) L" );
#r = Ring( "Rat(x,y,z) L" );
#r = Ring( "C(x,y,z) L" );
r = Ring( "Z(x,y,z) L" );

print "Ring: " + str(r);
print;

[one,x,y,z] = r.gens();

a = r.random();
b = r.random();
c = abs(r.random());
#c = 1; 
#a = 0;

f = x * a + b * y**2 + one * z**7;

print "a = ", a;
开发者ID:rjolly，项目名称:jas，代码行数:31，代码来源:polynomial.py

示例5: Ring

#
# jython examples for jas.
# $Id$
#

from jas import Ring

# trinks 7 example

r = Ring( "Rat(B,S,T,Z,P,W) L" );
print "Ring: " + str(r);
print;

ps = """
( 
 ( 45 P + 35 S - 165 B - 36 ), 
 ( 35 P + 40 Z + 25 T - 27 S ), 
 ( 15 W + 25 S P + 30 Z - 18 T - 165 B**2 ), 
 ( - 9 W + 15 T P + 20 S Z ), 
 ( P W + 2 T Z - 11 B**3 ), 
 ( 99 W - 11 B S + 3 B**2 ),
 ( B**2 + 33/50 B + 2673/10000 )
) 
""";

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


#Katsura equations for N = 3:
开发者ID:rjolly，项目名称:jas，代码行数:31，代码来源:syz.py

示例6: H

# $Id: hermite.py 2111 2008-09-06 19:32:49Z kredel $
#

import sys;

from jas import Ring
from jas import Ideal
from jas import startLog
from jas import terminate

# hermite polynomial example
# H(0) = 1
# H(1) = 2 * x
# H(n) = 2 * x * H(n-1) - 2 * (n-1) * H(n-2)

r = Ring( "Z(x) L" );
print "Ring: " + str(r);
print;

# sage like: with generators for the polynomial ring
[x] = r.gens();

one = r.one();
x2 = 2 * x;

N = 10;
H = [one,x2];
for n in range(2,N):
    h = x2 * H[n-1] - 2 * (n-1) * H[n-2];
    H.append( h );
开发者ID:lukaszzdanikowski，项目名称:randoop，代码行数:30，代码来源:hermite.py

示例7: rose

#

import sys;

from jas import Ring, QQ
from jas import startLog, terminate

# example from rose (modified)

#r = Ring( "Mod 19 (U3,U4,A46) L" );
#r = Ring( "Mod 1152921504606846883 (U3,U4,A46) L" ); # 2^60-93
#r = Ring( "Quat(U3,U4,A46) L" );
#r = Ring( "Z(U3,U4,A46) L" );
#r = Ring( "C(U3,U4,A46) L" );

r = Ring( "Rat(A46,U3,U4) L" );
print "Ring: " + str(r);
print;

ps = """
(   
 %s
 ( U4^4 - 20/7 A46^2 ), 
 ( A46^2 U3^4 + 7/10 A46 U3^4 + 7/48 U3^4 - 50/27 A46^2 - 35/27 A46 - 49/216 ), 
 ( A46^5 U4^3 + 7/5 A46^4 U4^3 + 609/1000 A46^3 
 U4^3 + 49/1250 A46^2 U4^3 - 27391/800000 A46 U4^3 
 - 1029/160000 U4^3 + 3/7 A46^5 U3 U4^2 + 3/5 A46^6 
 U3 U4^2 + 63/200 A46^3 U3 U4^2 + 147/2000 A46^2 
 U3 U4^2 + 4137/800000 A46 U3 U4^2 - 7/20 A46^4 
 U3^2 U4 - 77/125 A46^3 U3^2 U4 - 23863/60000 A46^2 
 U3^2 U4 - 1078/9375 A46 U3^2 U4 - 24353/1920000
开发者ID:rjolly，项目名称:jas，代码行数:31，代码来源:rose_part.py

示例8: Rat

rs = """
# polynomial ring:
Rat(x1,x2,x3,y1,y2) G|3|
""";

ps = """
(
 ( y1 + y2 - 1 ),
 ( x1 - y1^2 - y1 - y2 ),
 ( x2 - y1 - y2^2 ),
 ( x3 - y1 y2 )
)
""";

r = Ring( rs );
print "Ring: " + str(r);

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

g = i.GB();
print "seq GB:", g;



rsi = """
# polynomial ring:
Rat(x1,x2,x3) G
""";
开发者ID:rjolly，项目名称:jas，代码行数:29，代码来源:preimage.py

示例9: Ring

from jas import Ring
from jas import startLog, terminate

#import rational;

# trinks 6/7 example

#r = Ring( "Mod 19 (B,S,T,Z,P,W) L" );
#r = Ring( "Mod 1152921504606846883 (B,S,T,Z,P,W) L" ); # 2^60-93
#r = Ring( "Quat(B,S,T,Z,P,W) L" );
#r = Ring( "Z(B,S,T,Z,P,W) L" );
#r = Ring( "C(B,S,T,Z,P,W) L" );
#r = Ring( "Z(B,S,T,Z,P,W) L" );
#r = Ring( "IntFunc(e,f)(B,S,T,Z,P,W) L" );
r = Ring( "Z(B,S,T,Z,P,W) L" );
#r = Ring( "Q(B,S,T,Z,P,W) L" );
print "Ring: " + str(r);
print;

# sage like: with generators for the polynomial ring
print "r.gens() = ", [ str(f) for f in r.gens() ];
print;
#[one,e,f,B,S,T,Z,P,W] = r.gens();
#automatic: [one,B,S,T,Z,P,W] = r.gens();

f1 = 45 * P + 35 * S - 165 * B - 36;
f2 = 35 * P + 40 * Z + 25 * T - 27 * S;
f3 = 15 * W + 25 * S * P + 30 * Z - 18 * T - 165 * B**2;
f4 = - 9 * W + 15 * T * P + 20 * S * Z;
f5 = P * W + 2 * T * Z - 11 * B**3;
开发者ID:rjolly，项目名称:jas，代码行数:30，代码来源:trinks_s.py

示例10: CC

c = CC();
print "c:", c;
c = c.one();
print "c:", c;
c = CC((2,),(3,));
print "c:", c;
print "c^5:", c**5 + c.one();
print;

c = CC( (2,),rn );
print "c:", c;
print;


r = Ring( "Q(x,y) L" );
print "Ring: " + str(r);
print;

# sage like: with generators for the polynomial ring
[x,y] = r.gens();
one = r.one();
zero = r.zero();

try:
    f = RF();
except:
    f = None;
print "f: " + str(f);

d = x**2 + 5 * x - 6;
开发者ID:lukaszzdanikowski，项目名称:randoop，代码行数:30，代码来源:arith.py

示例11: Ring

from jas import Ideal
from jas import startLog
from jas import terminate

#import rational;

# trinks 6/7 example

#r = Ring( "Mod 19 (B,S,T,Z,P,W) L" );
#r = Ring( "Mod 1152921504606846883 (B,S,T,Z,P,W) L" ); # 2^60-93
#r = Ring( "Quat(B,S,T,Z,P,W) L" );
#r = Ring( "Z(B,S,T,Z,P,W) L" );
#r = Ring( "C(B,S,T,Z,P,W) L" );
#r = Ring( "Z(B,S,T,Z,P,W) L" );
#r = Ring( "IntFunc(e,f)(B,S,T,Z,P,W) L" );
r = Ring( "Z(B,S,T,Z,P,W) L" );
#r = Ring( "Q(B,S,T,Z,P,W) L" );
print "Ring: " + str(r);
print;

# sage like: with generators for the polynomial ring
print "r.gens() = ", [ str(f) for f in r.gens() ];
print;
#[e,f,B,S,T,Z,P,W] = r.gens();
[B,S,T,Z,P,W] = r.gens();

f1 = 45 * P + 35 * S - 165 * B - 36;
f2 = 35 * P + 40 * Z + 25 * T - 27 * S;
f3 = 15 * W + 25 * S * P + 30 * Z - 18 * T - 165 * B**2;
f4 = - 9 * W + 15 * T * P + 20 * S * Z;
f5 = P * W + 2 * T * Z - 11 * B**3;
开发者ID:lukaszzdanikowski，项目名称:randoop，代码行数:31，代码来源:trinks_s.py

示例12: map

        self.coFac = cofac;
    def map(self,ps):
        return ps.negate().integrate( self.coFac.getZERO() ).integrate( self.coFac.getONE() );

ps8 = psr.fixPoint( cosmap( psr.ring.coFac ) );
print "ps8:", ps8;
print;

ps9 = ps8 - c;
print "ps9:", ps9;
print;


# conversion from polynomials

pr = Ring("Q(y) L");
print "pr:", pr;
print;

[one,yp] = pr.gens();

p1 = one;
p2 = one - yp;

ps1 = psr.fromPoly(p1);
ps2 = psr.fromPoly(p2);

# rational function as power series:
ps3 = ps1 / ps2;

print "p1:", p1;
开发者ID:rjolly，项目名称:jas，代码行数:31，代码来源:powerseries.py

示例13: P

import sys

from jas import Ring
from jas import Ideal
from jas import startLog
from jas import terminate

from edu.jas.arith import BigRational

# Legendre polynomial example
# P(0) = 1
# P(1) = x
# P(n) = 1/n [ (2n-1) * x * P(n-1) - (n-1) * P(n-2) ]

r = Ring("Q(x) L")
# r = Ring( "C(x) L" );
print "Ring: " + str(r)
print

# sage like: with generators for the polynomial ring
[x] = r.gens()

one = r.one()

N = 10
P = [one, x]
for n in range(2, N):
    p = (2 * n - 1) * x * P[n - 1] - (n - 1) * P[n - 2]
    r = (1, n)
    # no rational numbers in python
开发者ID:lukaszzdanikowski，项目名称:randoop，代码行数:30，代码来源:legendre.py

示例14: P

import sys;

from jas import Ring
from jas import Ideal
from jas import startLog
from jas import terminate

from edu.jas.arith import BigRational

# Legendre polynomial example
# P(0) = 1
# P(1) = x
# P(n) = 1/n [ (2n-1) * x * P(n-1) - (n-1) * P(n-2) ]

r = Ring( "Q(x) L" );
#r = Ring( "C(x) L" );
print "Ring: " + str(r);
print;

# sage like: with generators for the polynomial ring
[one,x] = r.gens();

N = 10;
P = [one,x];
for n in range(2,N):
    p = (2*n-1) * x * P[n-1] - (n-1) * P[n-2];
    r = (1,n); # no rational numbers in python
    #r = [(1,n)]; # no complex rational numbers in python
    #r = ((1,n),(0,1)); # no complex rational numbers in python
    p = r * p;
开发者ID:，项目名称:，代码行数:30，代码来源:

示例15: Ring

#
# jython for jas example integer programming.
# $Id$
#
# CLO2, p370
# 4 A + 5 B + C = 37
# 2 A + 3 B + D = 20
#
# max: 11 A + 15 B
#

import sys;

from jas import Ring

r = Ring( "Rat(w1,w2,w3,w4,z1,z2) W( (0,0,0,0,1,1),(1,1,2,2,0,0) )" );
print "Ring: " + str(r);
print;


ps = """
( 
 ( z1^4 z2^2 - w1 ),
 ( z1^5 z2^3 - w2 ),
 ( z1 - w3 ),
 ( z2 - w4 )
) 
""";

f = r.ideal( ps );
print "Ideal: " + str(f);
开发者ID:rjolly，项目名称:jas，代码行数:31，代码来源:intprog.py


注：本文中的jas.Ring类示例由纯净天空整理自Github/MSDocs等开源代码及文档管理平台，相关代码片段筛选自各路编程大神贡献的开源项目，源码版权归原作者所有，传播和使用请参考对应项目的License；未经允许，请勿转载。