latqcdtools.math.spline ============= ```python _even_knots(xdata, nknots): """ Return a list of nknots evenly spaced knots. """ ``` ```python _random_knots(xdata, nknots, randomization_factor=1, SEED=None): """ Return a list of nknots randomly spaced knots. """ ``` ```python bootSpline(xdata, ydata, edata, num_knots=None, order=3, rand=False, fixedKnots=None, natural=False, numb_samples=300, nsupport=301, seed=7271978) -> dict: """ Given xdata, ydata, edata, create a spline. Use bootstrap to propagate uncertainties of the data into an error band for the spline. Gives back a dictionary whose xspl, yspl, and ysple entries can be used to plot a spline with error bars """ ``` ```python getSpline(xdata, ydata, num_knots=None, edata=None, order=3, rand=False, fixedKnots=None, getAICc=False, natural=False): """ This is a wrapper that calls SciPy spline interpolation methods, depending on your needs. Generally this uses scipy.interpolate.splrep, which uses B-splines. If natural=True and edata=None, it will use scipy.interpolate.CubicSpline to solve. If natural=True and edata are provided, it will do a smoothing spline that attempts to force no curvature at the endpoints, based on the penultimate points. Args: xdata (array-like) ydata (array-like) num_knots (int): The number of knots. edata (array-like, optional): Error data. Defaults to None. order (int, optional): Order of the spline. Defaults to 3. rand (bool, optional): Use randomly placed knots? Defaults to False. fixedKnots (array-like, optional): List of user-specified knots. Defaults to None. getAICc (bool, optional): Return corrected Aikake information criterion? Defaults to False. natural (bool, optional): Try a natural (no change in slope at the endpoints) cubic spline. Defaults to False. Returns: callable spline object AICc (optionally) """ ``` ```python getSplineErr(xdata, xspline, ydata, ydatae, num_knots=None, order=3, rand=False, fixedKnots=None, natural=False): """ Use getSpline to smooth mean and error bars. Create a spline-smooth band from that. """ ``` ```python class TBSpline(xdata, ydata, edata=None, knots=None, order=3, naturalLike=False): """ A class that prepares a splrep and wraps it with splev. """ ```