Source code for pygram11.utils

import numpy as np

[docs]def densify1d(h, range, binw=None, sumw2=None): """normalize histogram as a PDF such that the integral over the range is equal to 1. This function is used by the histogramming functions if the ``density`` argument is true. Parameters ---------- h: array_like histogram bin heights range: (float, float) histogram axis limits binw: array_like, optional array of bin widths if variable width bins (``None`` assumes fixed width bins). sumw2: array_like array representing sum of weights squared in each bin Returns ------- :obj:`numpy.ndarray` bin counts normalized :obj:`numpy.ndarray` uncertainty on the bin heights (only if ``sumw2`` is not None) """ raw_integral = h.sum() if binw is None: binwidth = float(range[1] - range[0]) / len(h) else: binwidth = binw result_normed = h / binwidth / raw_integral if sumw2 is not None: result_normed_unc = np.sqrt( sumw2 + np.power(h / raw_integral, 2) * np.sum(sumw2) ) / (binwidth * raw_integral) return (result_normed, result_normed_unc) return (result_normed, None)