(f, K, eps=None, inf=None, sup=None, fast=False)
Isolate real and complex roots of a non-square-free polynomial ``f``.
Isolate real and complex roots of a non-square-free polynomial ``f``.
Isolate real and complex roots of a non - square - free polynomial f .
def dup_isolate_all_roots(f, K, eps=None, inf=None, sup=None, fast=False):
    """Isolate real and complex roots of a non-square-free polynomial ``f``. """
    if not K.is_ZZ and not K.is_QQ:
        raise DomainError("isolation of real and complex roots is not supported over %s" % K)

    _, factors = dup_sqf_list(f, K)

    if len(factors) == 1:
        ((f, k),) = factors

        real_part, complex_part = dup_isolate_all_roots_sqf(
            f, K, eps=eps, inf=inf, sup=sup, fast=fast)

        real_part = [ ((a, b), k) for (a, b) in real_part ]
        complex_part = [ ((a, b), k) for (a, b) in complex_part ]

        return real_part, complex_part
    else:
        raise NotImplementedError( "only trivial square-free polynomials are supported")
def dup_isolate_all_roots ( f , K , eps = None , inf = None , sup = None , fast = False ) : if not K . is_ZZ and not K . is_QQ : raise DomainError ( "isolation of real and complex roots is not supported over %s" % K ) _ , factors = dup_sqf_list ( f , K ) if len ( factors ) == 1 : ( ( f , k ) , ) = factors real_part , complex_part = dup_isolate_all_roots_sqf ( f , K , eps = eps , inf = inf , sup = sup , fast = fast ) real_part = [ ( ( a , b ) , k ) for ( a , b ) in real_part ] complex_part = [ ( ( a , b ) , k ) for ( a , b ) in complex_part ] return real_part , complex_part else : raise NotImplementedError ( "only trivial square-free polynomials are supported" )