Source code for sfs.plot

"""Plot sound fields etc."""

import matplotlib.pyplot as plt
from matplotlib.patches import PathPatch
from matplotlib.path import Path
from matplotlib.collections import PatchCollection
from mpl_toolkits.mplot3d import Axes3D
import numpy as np
from . import util

def _register_coolwarm_clip():
    """Create color map with "over" and "under" values."""
    from matplotlib.colors import LinearSegmentedColormap
    # The 'coolwarm' colormap is based on the paper
    # "Diverging Color Maps for Scientific Visualization" by Kenneth Moreland
    cdict =['coolwarm']
    cmap = LinearSegmentedColormap('coolwarm_clip', cdict)
    cmap.set_over(color=cmap(1.0), alpha=0.7)
    cmap.set_under(color=cmap(0.0), alpha=0.7)

del _register_coolwarm_clip

[docs]def virtualsource_2d(xs, ns=None, type='point', ax=None): """Draw position/orientation of virtual source.""" xs = np.asarray(xs) ns = np.asarray(ns) if ax is None: ax = plt.axes() if type == 'point': vps = plt.Circle(xs, .05, edgecolor='k', facecolor='k') ax.add_artist(vps) for n in range(1, 3): vps = plt.Circle(xs, .05+n*0.05, edgecolor='k', fill=False) ax.add_artist(vps) elif type == 'plane': ns = 0.2 * ns ax.arrow(xs[0], xs[1], ns[0], ns[1], head_width=0.05, head_length=0.1, fc='k', ec='k')
[docs]def reference_2d(xref, size=0.1, ax=None): """Draw reference/normalization point.""" xref = np.asarray(xref) if ax is None: ax = plt.axes() ax.plot((xref[0]-size, xref[0]+size), (xref[1]-size, xref[1]+size), 'k-') ax.plot((xref[0]-size, xref[0]+size), (xref[1]+size, xref[1]-size), 'k-')
[docs]def secondarysource_2d(x0, n0, grid=None): """Simple plot of secondary source locations.""" x0 = np.asarray(x0) n0 = np.asarray(n0) ax = plt.axes() # plot only secondary sources inside simulated area if grid is not None: x0, n0 = _visible_secondarysources_2d(x0, n0, grid) # plot symbols for x00 in x0: ss = plt.Circle(x00[0:2], .05, edgecolor='k', facecolor='k') ax.add_artist(ss)
[docs]def loudspeaker_2d(x0, n0, a0=0.5, size=0.08, show_numbers=False, grid=None, ax=None): """Draw loudspeaker symbols at given locations and angles. Parameters ---------- x0 : (N, 3) array_like Loudspeaker positions. n0 : (N, 3) or (3,) array_like Normal vector(s) of loudspeakers. a0 : float or (N,) array_like, optional Weighting factor(s) of loudspeakers. size : float, optional Size of loudspeakers in metres. show_numbers : bool, optional If ``True``, loudspeaker numbers are shown. grid : triple of numpy.ndarray, optional If specified, only loudspeakers within the `grid` are shown. ax : Axes object, optional The loudspeakers are plotted into this :class:`~matplotlib.axes.Axes` object or -- if not specified -- into the current axes. """ x0 = util.asarray_of_rows(x0) n0 = util.asarray_of_rows(n0) a0 = util.asarray_1d(a0).reshape(-1, 1) # plot only secondary sources inside simulated area if grid is not None: x0, n0 = _visible_secondarysources_2d(x0, n0, grid) # normalized coordinates of loudspeaker symbol (see IEC 60617-9) codes, coordinates = zip(*( (Path.MOVETO, [-0.62, 0.21]), (Path.LINETO, [-0.31, 0.21]), (Path.LINETO, [0, 0.5]), (Path.LINETO, [0, -0.5]), (Path.LINETO, [-0.31, -0.21]), (Path.LINETO, [-0.62, -0.21]), (Path.CLOSEPOLY, [0, 0]), (Path.MOVETO, [-0.31, 0.21]), (Path.LINETO, [-0.31, -0.21]), )) coordinates = np.column_stack([coordinates, np.zeros(len(coordinates))]) coordinates *= size patches = [] for x00, n00 in util.broadcast_zip(x0, n0): # rotate and translate coordinates R = util.rotation_matrix([1, 0, 0], n00) transformed_coordinates = np.inner(coordinates, R) + x00 patches.append(PathPatch(Path(transformed_coordinates[:, :2], codes))) # add collection of patches to current axis p = PatchCollection(patches, edgecolor='0', facecolor=np.tile(1 - a0, 3)) if ax is None: ax = plt.gca() ax.add_collection(p) if show_numbers: for idx, (x00, n00) in enumerate(util.broadcast_zip(x0, n0)): x, y = x00[:2] - 1.2 * size * n00[:2] ax.text(x, y, idx + 1, horizontalalignment='center', verticalalignment='center')
def _visible_secondarysources_2d(x0, n0, grid): """Determine secondary sources which lie within `grid`.""" grid = util.asarray_of_arrays(grid) x, y = grid[:2] idx = np.where((x0[:, 0] > x.min()) & (x0[:, 0] < x.max()) & (x0[:, 1] > y.min()) & (x0[:, 1] < x.max())) idx = np.squeeze(idx) return x0[idx, :], n0[idx, :]
[docs]def loudspeaker_3d(x0, n0, a0=None, w=0.08, h=0.08): """Plot positions and normals of a 3D secondary source distribution.""" fig = plt.figure(figsize=(15, 15)) ax = fig.add_subplot(111, projection='3d') ax.quiver(x0[:, 0], x0[:, 1], x0[:, 2], n0[:, 0], n0[:, 1], n0[:, 2], length=0.1) plt.xlabel('x (m)') plt.ylabel('y (m)') plt.title('Secondary Sources')
[docs]def soundfield(p, grid, xnorm=None, colorbar=True, cmap='coolwarm_clip', ax=None, xlabel='x (m)', ylabel='y (m)', vmax=2.0, vmin=-2.0, **kwargs): """Two-dimensional plot of sound field.""" grid = util.asarray_of_arrays(grid) # normalize sound field wrt xnorm if xnorm is not None: p = util.normalize(p, grid, xnorm) x, y = grid[:2] # ignore z-component if ax is None: ax = plt.gca() im = ax.imshow(np.real(p), cmap=cmap, origin='lower', extent=[x.min(), x.max(), y.min(), y.max()], vmax=vmax, vmin=vmin, aspect='equal', **kwargs) ax.set_adjustable('box-forced') # avoid empty space btw. axis and image if xlabel: ax.set_xlabel(xlabel) if ylabel: ax.set_ylabel(ylabel) if colorbar: ax.figure.colorbar(im, ax=ax) return im
[docs]def level(p, grid, xnorm=None, colorbar=True, cmap='coolwarm_clip', ax=None, xlabel='x (m)', ylabel='y (m)', vmax=3.0, vmin=-50, **kwargs): """Two-dimensional plot of level (dB) of sound field.""" # normalize sound field wrt xnorm if xnorm is not None: p = util.normalize(p, grid, xnorm) xnorm = None im = soundfield(20*np.log10(np.abs(p)), grid, xnorm, colorbar, cmap, ax, xlabel, ylabel, vmax, vmin, **kwargs) return im