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Python Poly.as_integer方法代码示例

本文整理汇总了Python中sympy.Poly.as_integer方法的典型用法代码示例。如果您正苦于以下问题:Python Poly.as_integer方法的具体用法?Python Poly.as_integer怎么用?Python Poly.as_integer使用的例子?那么恭喜您, 这里精选的方法代码示例或许可以为您提供帮助。您也可以进一步了解该方法所在sympy.Poly的用法示例。


在下文中一共展示了Poly.as_integer方法的1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: poly_factorize

# 需要导入模块: from sympy import Poly [as 别名]
# 或者: from sympy.Poly import as_integer [as 别名]
def poly_factorize(poly):
    """Factorize multivariate polynomials into a sum of products of monomials.

    This function can be used to decompose polynomials into a form which
    minimizes the number of additions and multiplications, and which thus
    can be evaluated efficently."""
    max_deg = {}

    if 'horner' in dir(sympy):
        return sympy.horner(poly)

    if not isinstance(poly, Poly):
        poly = Poly(sympy.expand(poly), *poly.atoms(Symbol))

    denom, poly = poly.as_integer()

    # Determine the order of factorization.  We proceed through the
    # symbols, starting with the one present in the highest order
    # in the polynomial.
    for i, sym in enumerate(poly.symbols):
        max_deg[i] = 0

    for monom in poly.monoms:
        for i, symvar in enumerate(monom):
            max_deg[i] = max(max_deg[i], symvar)

    ret_poly = 0
    monoms = list(poly.monoms)

    for isym, maxdeg in sorted(max_deg.items(), key=itemgetter(1), reverse=True):
        drop_idx = []
        new_poly = []

        for i, monom in enumerate(monoms):
            if monom[isym] > 0:
                drop_idx.append(i)
                new_poly.append((poly.coeff(*monom), monom))

        if not new_poly:
            continue

        ret_poly += sympy.factor(Poly(new_poly, *poly.symbols))

        for idx in reversed(drop_idx):
            del monoms[idx]

    # Add any remaining O(1) terms.
    new_poly = []
    for i, monom in enumerate(monoms):
        new_poly.append((poly.coeff(*monom), monom))

    if new_poly:
        ret_poly += Poly(new_poly, *poly.symbols)

    return ret_poly / denom
开发者ID:shawakaze,项目名称:sailfish,代码行数:57,代码来源:sym.py


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