freealg.visualization.plot_mass#

freealg.visualization.plot_mass(sizes, x, rho, x0=None, rho0=None, atoms=None, ax=None, figsize=None, log_x=False, gap=0.7, save=False, latex=False)#

Plot mass of the absolutely continuous and atoms of spectral density.

Parameters:

sizesarray_like: A list of matrix decompression sizes. The length of this list should be the same as the number of rows of rho.
xnumpy.array: The abscissa of density to compute its mass. The length of this array should be the same as the number of columns of rho.
rhonumpy.ndarray: A 2D array where the row rho[i, :] correspond to a density at the matrix size sizes[i].
x0numpy.array, default=None: Abscissa, together with rho0, used to compute mass at initial density at higher resolution grid. If None, only x and rho is used.
rho0numpy.array, default=None: A 1D density at initial time, used to compute higher accuracy initial density mass on the grid x0. If None, the density rho[0, :] is used. This is useful when the initial density has a spike-like behavior at the initial time (usually near the origin) hence a higher resolution grid is needed to accurately compute mass.
atomslist of tuples, default=None: A list of tuples (atom_location, atom_weight).
axmatplotlib.axes._axes.Axes: matplotlib’s axis object. If None, new axis and figure is created.
figsizetuple, default=None: Size of figure. If None, a default size is used.
log_xbool, default=False: If True, the x axis is shown on base of powers of two times thousand, such as 1K, 2K, 4K, 8K, …, etc.
gapfloat, default=0.7: The gap (from 0 to 1) as percentage between bar plots.
savebool or str, default=False: If False, the plot is not saved. If True, the plot is saved with a default filename. If string, the plot is saved with the full-path filename and file extension given by the string.
latexbool, default=False: If True, the plot is rendered using LaTeX.