def _lmder1_bard():
    """Bard function (lmder1 test #8)"""

    y1 = np.asfarray([0.14, 0.18, 0.22, 0.25, 0.29,
                      0.32, 0.35, 0.39, 0.37, 0.58,
                      0.73, 0.96, 1.34, 2.10, 4.39])

    def func(params, vec):
        for i in range(15):
            tmp2 = 15 - i

            if i > 7:
                tmp3 = tmp2
            else:
                tmp3 = i + 1

            vec[i] = y1[i] - (params[0] + (i + 1) / (params[1] * tmp2 + params[2] * tmp3))

    def jac(params, jac):
        for i in range(15):
            tmp2 = 15 - i

            if i > 7:
                tmp3 = tmp2
            else:
                tmp3 = i + 1

            tmp4 = (params[1] * tmp2 + params[2] * tmp3)**2
            jac[0,i] = -1
            jac[1,i] = (i + 1) * tmp2 / tmp4
            jac[2,i] = (i + 1) * tmp3 / tmp4

    guess = np.asfarray([1, 1, 1])

    _lmder1_driver(15, func, jac, guess,
                   0.6456136295159668e+01, 0.9063596033904667e-01,
                   [0.8241057657583339e-01, 0.1133036653471504e+01, 0.2343694638941154e+01])
    _lmder1_driver(15, func, jac, guess * 10,
                   0.3614185315967845e+02, 0.4174768701385386e+01,
                   [0.8406666738183293e+00, -0.1588480332595655e+09, -0.1643786716535352e+09])
    _lmder1_driver(15, func, jac, guess * 100,
                   0.3841146786373992e+03, 0.4174768701359691e+01,
                   [0.8406666738676455e+00, -0.1589461672055184e+09, -0.1644649068577712e+09])
Bard function (lmder1 test #8)