Coverage for local/lib/python2.7/site-packages/sage/libs/singular/standard_options.py : 58%
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""" Highlevel functions for managing options of the libSingular interface.
AUTHOR:
- Martin Albrecht """
class LibSingularGBDefaultContext: def __init__(self): """ EXAMPLES::
sage: from sage.libs.singular.standard_options import LibSingularGBDefaultContext sage: from sage.libs.singular.option import opt sage: P.<a,b,c> = PolynomialRing(QQ, 3, order='lex') sage: I = sage.rings.ideal.Katsura(P, 3) sage: I.gens() [a + 2*b + 2*c - 1, a^2 - a + 2*b^2 + 2*c^2, 2*a*b + 2*b*c - b] sage: opt['red_tail'] = False sage: opt['red_sb'] = False sage: import sage.libs.singular.function_factory sage: groebner = sage.libs.singular.function_factory.ff.groebner sage: rgb = groebner(I) sage: rgb [84*c^4 - 40*c^3 + c^2 + c, 7*b + 210*c^3 - 79*c^2 + 3*c, a + 2*b + 2*c - 1] sage: with LibSingularGBDefaultContext(): rgb = groebner(I) sage: rgb [84*c^4 - 40*c^3 + c^2 + c, 7*b + 210*c^3 - 79*c^2 + 3*c, 7*a - 420*c^3 + 158*c^2 + 8*c - 7]
"""
def __enter__(self): """ EXAMPLES::
sage: from sage.libs.singular.standard_options import LibSingularGBDefaultContext sage: from sage.libs.singular.option import opt sage: P.<a,b,c,d> = PolynomialRing(QQ, 4, order='lex') sage: I = sage.rings.ideal.Katsura(P, 4) sage: I.gens() [a + 2*b + 2*c + 2*d - 1, a^2 - a + 2*b^2 + 2*c^2 + 2*d^2, 2*a*b + 2*b*c - b + 2*c*d, 2*a*c + b^2 + 2*b*d - c]
sage: opt['red_tail'] = False sage: opt['red_sb'] = False sage: import sage.libs.singular.function_factory sage: groebner = sage.libs.singular.function_factory.ff.groebner sage: rgb = groebner(I) sage: rgb [128304*d^8 - 93312*d^7 + 15552*d^6 + 3144*d^5 - 1120*d^4 + 36*d^3 + 15*d^2 - d, 5913075*c + 371438283744*d^7 - 237550027104*d^6 + 22645939824*d^5 + 11520686172*d^4 - 2024910556*d^3 - 132524276*d^2 + 30947828*d, 1044*b + 10976*c^3 + 67914*c^2*d - 9709*c^2 + 100296*c*d^2 - 32862*c*d + 2412*c + 64302*d^3 - 29483*d^2 + 2683*d, a + 2*b + 2*c + 2*d - 1]
sage: with LibSingularGBDefaultContext(): rgb = groebner(I) sage: rgb [128304*d^8 - 93312*d^7 + 15552*d^6 + 3144*d^5 - 1120*d^4 + 36*d^3 + 15*d^2 - d, 5913075*c + 371438283744*d^7 - 237550027104*d^6 + 22645939824*d^5 + 11520686172*d^4 - 2024910556*d^3 - 132524276*d^2 + 30947828*d, 1971025*b - 97197721632*d^7 + 73975630752*d^6 - 12121915032*d^5 - 2760941496*d^4 + 814792828*d^3 - 1678512*d^2 - 9158924*d, 5913075*a - 159690237696*d^7 + 31246269696*d^6 + 27439610544*d^5 - 6475723368*d^4 - 838935856*d^3 + 275119624*d^2 + 4884038*d - 5913075]
"""
def __exit__(self, typ, value, tb): """ EXAMPLES::
sage: from sage.libs.singular.standard_options import LibSingularGBDefaultContext sage: from sage.libs.singular.option import opt sage: P.<a,b,c,d> = PolynomialRing(GF(7), 4, order='lex') sage: I = sage.rings.ideal.Katsura(P, 4) sage: I.gens() [a + 2*b + 2*c + 2*d - 1, a^2 - a + 2*b^2 + 2*c^2 + 2*d^2, 2*a*b + 2*b*c - b + 2*c*d, 2*a*c + b^2 + 2*b*d - c]
sage: opt['red_tail'] = False sage: opt['red_sb'] = False sage: import sage.libs.singular.function_factory sage: groebner = sage.libs.singular.function_factory.ff.groebner sage: rgb = groebner(I) sage: rgb [d^7 + 3*d^6 - d^5 + 3*d^4 + d^3 - d^2 + 3*d, c - 3*d^6 + 3*d^5 - d^4 + d^3 - 2*d, b + 3*c*d - 3*c + d^2 + 2*d, a + 2*b + 2*c + 2*d - 1] sage: with LibSingularGBDefaultContext(): rgb = groebner(I) sage: rgb [d^7 + 3*d^6 - d^5 + 3*d^4 + d^3 - d^2 + 3*d, c - 3*d^6 + 3*d^5 - d^4 + d^3 - 2*d, b - 3*d^6 + 2*d^4 + d^3 + 2*d^2 - 3*d, a - 2*d^6 + d^5 - 2*d^4 + 3*d^3 + 3*d^2 - 2*d - 1] """
def libsingular_gb_standard_options(func): """ Decorator to force a reduced Singular groebner basis.
TESTS::
sage: P.<a,b,c,d,e> = PolynomialRing(GF(127)) sage: J = sage.rings.ideal.Cyclic(P).homogenize() sage: from sage.misc.sageinspect import sage_getsource sage: "basis.reduced" in sage_getsource(J.interreduced_basis) True
The following tests against a bug that was fixed in :trac:`11298`::
sage: from sage.misc.sageinspect import sage_getsourcelines, sage_getargspec sage: P.<x,y> = QQ[] sage: I = P*[x,y] sage: sage_getargspec(I.interreduced_basis) ArgSpec(args=['self'], varargs=None, keywords=None, defaults=None) sage: sage_getsourcelines(I.interreduced_basis) ([' @singular_gb_standard_options\n', ' @libsingular_gb_standard_options\n', ' def interreduced_basis(self):\n', ... ' return self.basis.reduced()\n'], ...)
.. note::
This decorator is used automatically internally so the user does not need to use it manually. """ from sage.misc.decorators import sage_wraps @sage_wraps(func) def wrapper(*args, **kwds): """ Execute function in ``LibSingularGBDefaultContext``. """ return wrapper |