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Python densebasic.dmp_eject函数代码示例

原作者: [db:作者] 来自: [db:来源] 收藏 邀请

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



在下文中一共展示了dmp_eject函数的7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,您的评价将有助于我们的系统推荐出更棒的Python代码示例。

示例1: dup_factor_list

def dup_factor_list(f, K0):
    """Factor univariate polynomials into irreducibles in `K[x]`. """
    j, f = dup_terms_gcd(f, K0)
    cont, f = dup_primitive(f, K0)

    if K0.is_FiniteField:
        coeff, factors = dup_gf_factor(f, K0)
    elif K0.is_Algebraic:
        coeff, factors = dup_ext_factor(f, K0)
    else:
        if not K0.is_Exact:
            K0_inexact, K0 = K0, K0.get_exact()
            f = dup_convert(f, K0_inexact, K0)
        else:
            K0_inexact = None

        if K0.is_Field:
            K = K0.get_ring()

            denom, f = dup_clear_denoms(f, K0, K)
            f = dup_convert(f, K0, K)
        else:
            K = K0

        if K.is_ZZ:
            coeff, factors = dup_zz_factor(f, K)
        elif K.is_Poly:
            f, u = dmp_inject(f, 0, K)

            coeff, factors = dmp_factor_list(f, u, K.dom)

            for i, (f, k) in enumerate(factors):
                factors[i] = (dmp_eject(f, u, K), k)

            coeff = K.convert(coeff, K.dom)
        else:  # pragma: no cover
            raise DomainError('factorization not supported over %s' % K0)

        if K0.is_Field:
            for i, (f, k) in enumerate(factors):
                factors[i] = (dup_convert(f, K, K0), k)

            coeff = K0.convert(coeff, K)
            coeff = K0.quo(coeff, denom)

            if K0_inexact:
                for i, (f, k) in enumerate(factors):
                    max_norm = dup_max_norm(f, K0)
                    f = dup_quo_ground(f, max_norm, K0)
                    f = dup_convert(f, K0, K0_inexact)
                    factors[i] = (f, k)
                    coeff = K0.mul(coeff, K0.pow(max_norm, k))

                coeff = K0_inexact.convert(coeff, K0)
                K0 = K0_inexact

    if j:
        factors.insert(0, ([K0.one, K0.zero], j))

    return coeff*cont, _sort_factors(factors)
开发者ID:bjodah,项目名称:sympy,代码行数:60,代码来源:factortools.py


示例2: dup_factor_list

def dup_factor_list(f, K0, **args):
    """Factor polynomials into irreducibles in `K[x]`. """
    if not K0.has_CharacteristicZero: # pragma: no cover
        raise DomainError('only characteristic zero allowed')

    if K0.is_Algebraic:
        coeff, factors = dup_ext_factor(f, K0)
    else:
        if not K0.is_Exact:
            K0_inexact, K0 = K0, K0.get_exact()
            f = dup_convert(f, K0_inexact, K0)
        else:
            K0_inexact = None

        if K0.has_Field:
            K = K0.get_ring()

            denom, f = dup_ground_to_ring(f, K0, K)
            f = dup_convert(f, K0, K)
        else:
            K = K0

        if K.is_ZZ:
            coeff, factors = dup_zz_factor(f, K, **args)
        elif K.is_Poly:
            f, u = dmp_inject(f, 0, K)

            coeff, factors = dmp_factor_list(f, u, K.dom, **args)

            for i, (f, k) in enumerate(factors):
                factors[i] = (dmp_eject(f, u, K), k)

            coeff = K.convert(coeff, K.dom)
        else: # pragma: no cover
            raise DomainError('factorization not supported over %s' % K0)

        if K0.has_Field:
            for i, (f, k) in enumerate(factors):
                factors[i] = (dup_convert(f, K, K0), k)

            coeff = K0.convert(coeff, K)
            denom = K0.convert(denom, K)

            coeff = K0.quo(coeff, denom)

        if K0_inexact is not None:
            for i, (f, k) in enumerate(factors):
                factors[i] = (dup_convert(f, K0, K0_inexact), k)

            coeff = K0_inexact.convert(coeff, K0)

    if not args.get('include', False):
        return coeff, factors
    else:
        if not factors:
            return [(dup_strip([coeff]), 1)]
        else:
            g = dup_mul_ground(factors[0][0], coeff, K)
            return [(g, factors[0][1])] + factors[1:]
开发者ID:Aang,项目名称:sympy,代码行数:59,代码来源:factortools.py


示例3: dup_factor_list

def dup_factor_list(f, K0):
    """Factor polynomials into irreducibles in `K[x]`. """
    j, f = dup_terms_gcd(f, K0)

    if not K0.has_CharacteristicZero:
        coeff, factors = dup_gf_factor(f, K0)
    elif K0.is_Algebraic:
        coeff, factors = dup_ext_factor(f, K0)
    else:
        if not K0.is_Exact:
            K0_inexact, K0 = K0, K0.get_exact()
            f = dup_convert(f, K0_inexact, K0)
        else:
            K0_inexact = None

        if K0.has_Field:
            K = K0.get_ring()

            denom, f = dup_clear_denoms(f, K0, K)
            f = dup_convert(f, K0, K)
        else:
            K = K0

        if K.is_ZZ:
            coeff, factors = dup_zz_factor(f, K)
        elif K.is_Poly:
            f, u = dmp_inject(f, 0, K)

            coeff, factors = dmp_factor_list(f, u, K.dom)

            for i, (f, k) in enumerate(factors):
                factors[i] = (dmp_eject(f, u, K), k)

            coeff = K.convert(coeff, K.dom)
        else: # pragma: no cover
            raise DomainError('factorization not supported over %s' % K0)

        if K0.has_Field:
            for i, (f, k) in enumerate(factors):
                factors[i] = (dup_convert(f, K, K0), k)

            coeff = K0.convert(coeff, K)
            denom = K0.convert(denom, K)

            coeff = K0.quo(coeff, denom)

        if K0_inexact is not None:
            for i, (f, k) in enumerate(factors):
                factors[i] = (dup_convert(f, K0, K0_inexact), k)

            coeff = K0_inexact.convert(coeff, K0)

    if j:
        factors.insert(0, ([K0.one, K0.zero], j))

    return coeff, _sort_factors(factors)
开发者ID:TeddyBoomer,项目名称:wxgeometrie,代码行数:56,代码来源:factortools.py


示例4: test_dmp_eject

def test_dmp_eject():
    K = ZZ['x','y']

    assert dmp_eject([[[]]], 2, K) == []
    assert dmp_eject([[[[]]]], 3, K) == [[]]

    assert dmp_eject([[[1]]], 2, K) == [K([[1]])]
    assert dmp_eject([[[[1]]]], 3, K) == [[K([[1]])]]

    assert dmp_eject([[[1]],[[2],[3,4]]], 2, K) == [K([[1]]),K([[2],[3,4]])]

    f = [K([[3],[7,0],[5,0,0]]),K([[2],[]]),K([[]]),K([[1,0,0],[11]])]
    g = [[[3],[7,0],[5,0,0]],[[2],[]],[[]],[[1,0,0],[11]]]

    assert dmp_eject(g, 2, K) == f
开发者ID:TeddyBoomer,项目名称:wxgeometrie,代码行数:15,代码来源:test_densebasic.py


示例5: test_dmp_eject

def test_dmp_eject():
    R, x,y = ring("x,y", ZZ)
    K = R.to_domain()

    assert dmp_eject([[[]]], 2, K) == []
    assert dmp_eject([[[[]]]], 3, K) == [[]]

    assert dmp_eject([[[1]]], 2, K) == [R(1)]
    assert dmp_eject([[[[1]]]], 3, K) == [[R(1)]]

    assert dmp_eject([[[1]], [[2], [3, 4]]], 2, K) == [R(1), 2*x + 3*y + 4]

    f = [3*x**2 + 7*x*y + 5*y**2, 2*x, R(0), x*y**2 + 11]
    g = [[[3], [7, 0], [5, 0, 0]], [[2], []], [[]], [[1, 0, 0], [11]]]

    assert dmp_eject(g, 2, K) == f
开发者ID:AALEKH,项目名称:sympy,代码行数:16,代码来源:test_densebasic.py


示例6: dmp_factor_list

def dmp_factor_list(f, u, K0):
    """Factor polynomials into irreducibles in `K[X]`. """
    if not u:
        return dup_factor_list(f, K0)

    J, f = dmp_terms_gcd(f, u, K0)

    if not K0.has_CharacteristicZero: # pragma: no cover
        coeff, factors = dmp_gf_factor(f, u, K0)
    elif K0.is_Algebraic:
        coeff, factors = dmp_ext_factor(f, u, K0)
    else:
        if not K0.is_Exact:
            K0_inexact, K0 = K0, K0.get_exact()
            f = dmp_convert(f, u, K0_inexact, K0)
        else:
            K0_inexact = None

        if K0.has_Field:
            K = K0.get_ring()

            denom, f = dmp_clear_denoms(f, u, K0, K)
            f = dmp_convert(f, u, K0, K)
        else:
            K = K0

        if K.is_ZZ:
            levels, f, v = dmp_exclude(f, u, K)
            coeff, factors = dmp_zz_factor(f, v, K)

            for i, (f, k) in enumerate(factors):
                factors[i] = (dmp_include(f, levels, v, K), k)
        elif K.is_Poly:
            f, v = dmp_inject(f, u, K)

            coeff, factors = dmp_factor_list(f, v, K.dom)

            for i, (f, k) in enumerate(factors):
                factors[i] = (dmp_eject(f, v, K), k)

            coeff = K.convert(coeff, K.dom)
        else: # pragma: no cover
            raise DomainError('factorization not supported over %s' % K0)

        if K0.has_Field:
            for i, (f, k) in enumerate(factors):
                factors[i] = (dmp_convert(f, u, K, K0), k)

            coeff = K0.convert(coeff, K)
            denom = K0.convert(denom, K)

            coeff = K0.quo(coeff, denom)

        if K0_inexact is not None:
            for i, (f, k) in enumerate(factors):
                factors[i] = (dmp_convert(f, u, K0, K0_inexact), k)

            coeff = K0_inexact.convert(coeff, K0)

    for i, j in enumerate(reversed(J)):
        if not j:
            continue

        term = {(0,)*(u-i) + (1,) + (0,)*i: K0.one}
        factors.insert(0, (dmp_from_dict(term, u, K0), j))

    return coeff, _sort_factors(factors)
开发者ID:TeddyBoomer,项目名称:wxgeometrie,代码行数:67,代码来源:factortools.py


示例7: eject

 def eject(f, dom, front=False):
     """Eject selected generators into the ground domain. """
     F = dmp_eject(f.rep, f.lev, dom, front=front)
     return f.__class__(F, dom, f.lev - len(dom.gens))
开发者ID:fxkr,项目名称:sympy,代码行数:4,代码来源:polyclasses.py



注:本文中的sympy.polys.densebasic.dmp_eject函数示例由纯净天空整理自Github/MSDocs等源码及文档管理平台,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。


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