human
Complete the below
@_noconds
def _laplace_transform(f, t, s_, simplify=True):

    ''''The backend function for Laplace transforms.'
    '''

Give me a the Python program you requested?
assistant
#Here is the Python program you requested.
    from sympy import re, Max, exp, pi, Min, periodic_argument as arg, cos, Wild, symbols, polar_lift
    s = Dummy('s')
    F = integrate((exp(((- s) * t)) * f), (t, 0, oo))
    if (not F.has(Integral)):
        return (_simplify(F.subs(s, s_), simplify), (- oo), True)
    if (not F.is_Piecewise):
        raise IntegralTransformError('Laplace', f, 'could    not    compute    integral')
    (F, cond) = F.args[0]
    if F.has(Integral):
        raise IntegralTransformError('Laplace', f, 'integral    in    unexpected    form')
    def process_conds(conds):
        '    Turn    ``conds``    into    a    strip    and    auxiliary    conditions.    '
        a = (- oo)
        aux = True
        conds = conjuncts(to_cnf(conds))
        u = Dummy('u', real=True)
        (p, q, w1, w2, w3, w4, w5) = symbols('p    q    w1    w2    w3    w4    w5', cls=Wild, exclude=[s])
        for c in conds:
            a_ = oo
            aux_ = []
            for d in disjuncts(c):
                m = d.match((abs(arg((((s + w3) ** p) * q), w1)) < w2))
                if (not m):
                    m = d.match((abs(arg((((s + w3) ** p) * q), w1)) <= w2))
                if (not m):
                    m = d.match((abs(arg(((polar_lift((s + w3)) ** p) * q), w1)) < w2))
                if (not m):
                    m = d.match((abs(arg(((polar_lift((s + w3)) ** p) * q), w1)) <= w2))
                if m:
                    if (m[q].is_positive and ((m[w2] / m[p]) == (pi / 2))):
                        d = (re((s + m[w3])) > 0)
                m = d.match((0 < ((cos((abs(arg(((s ** w1) * w5), q)) * w2)) * (abs((s ** w3)) ** w4)) - p)))
                if (not m):
                    m = d.match((0 < ((cos((abs(arg(((polar_lift(s) ** w1) * w5), q)) * w2)) * (abs((s ** w3)) ** w4)) - p)))
                if (m and all((m[wild].is_positive for wild in [w1, w2, w3, w4, w5]))):
                    d = (re(s) > m[p])
                d_ = d.replace(re, (lambda x: x.expand().as_real_imag()[0])).subs(re(s), t)
                if ((not...