From a94f6caa1d85bbe67be3b8f9e2263ada1182573a Mon Sep 17 00:00:00 2001 From: Lorenz Kies Date: Sat, 1 Feb 2025 20:58:16 +0100 Subject: [PATCH 01/14] add plot_streamplot option to phase_plane_plot to use matplotlibs streamplot --- control/phaseplot.py | 126 +++++++++++++++++++++++++++++++- control/tests/kwargs_test.py | 2 + control/tests/phaseplot_test.py | 12 +++ 3 files changed, 139 insertions(+), 1 deletion(-) diff --git a/control/phaseplot.py b/control/phaseplot.py index 5f5016f57..284f0e30c 100644 --- a/control/phaseplot.py +++ b/control/phaseplot.py @@ -49,7 +49,7 @@ def phase_plane_plot( sys, pointdata=None, timedata=None, gridtype=None, gridspec=None, plot_streamlines=True, plot_vectorfield=False, plot_equilpoints=True, plot_separatrices=True, ax=None, suppress_warnings=False, title=None, - **kwargs + plot_streamplot=False, **kwargs ): """Plot phase plane diagram. @@ -135,6 +135,10 @@ def phase_plane_plot( If True (default) then plot the vector field based on the pointdata and gridtype. If set to a dict, pass on the key-value pairs in the dict as keywords to `phaseplot.vectorfield`. + plot_streamplot : bool or dict, optional + If `True` then use matplotlib's streamplot function to plot the + streamlines. If set to a dict, pass on the key-value pairs in the + dict as keywords to :func:`~ plot_equilpoints : bool or dict, optional If True (default) then plot equilibrium points based in the phase plot boundary. If set to a dict, pass on the key-value pairs in the @@ -214,6 +218,16 @@ def _create_kwargs(global_kwargs, local_kwargs, **other_kwargs): for kw in ['color', 'params']: initial_kwargs.pop(kw, None) + if plot_streamplot: + kwargs_local = _create_kwargs( + kwargs, plot_streamplot, gridspec=gridspec, ax=ax) + streamplot( + sys, pointdata, _check_kwargs=False, **kwargs_local) + + # Get rid of keyword arguments handled by streamplot + for kw in ['color', 'params']: + initial_kwargs.pop(kw, None) + if plot_equilpoints: kwargs_local = _create_kwargs( kwargs, plot_equilpoints, gridspec=gridspec, ax=ax) @@ -332,6 +346,116 @@ def vectorfield( return out +def streamplot( + sys, pointdata, gridspec=None, ax=None, vary_color=False, + vary_linewidth=False, cmap=None, norm=None, suppress_warnings=False, + _check_kwargs=True, **kwargs): + """Plot a vector field in the phase plane. + + This function plots a vector field for a two-dimensional state + space system. + + Parameters + ---------- + sys : NonlinearIOSystem or callable(t, x, ...) + I/O system or function used to generate phase plane data. If a + function is given, the remaining arguments are drawn from the + `params` keyword. + pointdata : list or 2D array + List of the form [xmin, xmax, ymin, ymax] describing the + boundaries of the phase plot or an array of shape (N, 2) + giving points from which to make the streamplot. In the latter case, + the points lie on a grid like that generated by `meshgrid`. + gridspec : list, optional + Specifies the size of the grid in the x and y axes on which to + generate points. + params : dict or list, optional + Parameters to pass to system. For an I/O system, `params` should be + a dict of parameters and values. For a callable, `params` should be + dict with key 'args' and value given by a tuple (passed to callable). + color : matplotlib color spec, optional + Plot the vector field in the given color. + vary_color : bool, optional + If set to `True`, vary the color of the streamlines based on the magnitude + vary_linewidth : bool, optional + If set to `True`, vary the linewidth of the streamlines based on the magnitude + cmap : str or Colormap, optional + Colormap to use for varying the color of the streamlines + norm : Normalize, optional + An instance of Normalize to use for scaling the colormap and linewidths + ax : matplotlib.axes.Axes + Use the given axes for the plot, otherwise use the current axes. + + Returns + ------- + out : Quiver + + Other parameters + ---------------- + rcParams : dict + Override the default parameters used for generating plots. + Default is set by config.default['ctrlplot.rcParams']. + suppress_warnings : bool, optional + If set to `True`, suppress warning messages in generating trajectories. + + """ + # Process keywords + rcParams = config._get_param('ctrlplot', 'rcParams', kwargs, pop=True) + + # Get system parameters + params = kwargs.pop('params', None) + + # Create system from callable, if needed + sys = _create_system(sys, params) + + # Determine the points on which to generate the streamplot field + points, gridspec = _make_points(pointdata, gridspec, 'meshgrid') + + # attempt to recover the grid by counting the jumps in xvals + if gridspec is None: + nrows = np.sum(np.diff(points[:, 0]) < 0) + 1 + ncols = points.shape[0] // nrows + if nrows * ncols != points.shape[0]: + raise ValueError("Could not recover grid from points.") + gridspec = [nrows, ncols] + + grid_arr_shape = gridspec[::-1] + xs, ys = points[:, 0].reshape(grid_arr_shape), points[:, 1].reshape(grid_arr_shape) + + # Create axis if needed + if ax is None: + ax = plt.gca() + + # Set the plotting limits + xlim, ylim, maxlim = _set_axis_limits(ax, pointdata) + + # Figure out the color to use + color = _get_color(kwargs, ax=ax) + + # Make sure all keyword arguments were processed + if _check_kwargs and kwargs: + raise TypeError("unrecognized keywords: ", str(kwargs)) + + # Generate phase plane (quiver) data + sys._update_params(params) + us_flat, vs_flat = np.transpose([sys._rhs(0, x, np.zeros(sys.ninputs)) for x in points]) + us, vs = us_flat.reshape(grid_arr_shape), vs_flat.reshape(grid_arr_shape) + + magnitudes = np.linalg.norm([us, vs], axis=0) + norm = norm or mpl.colors.Normalize() + normalized = norm(magnitudes) + cmap = plt.get_cmap(cmap) + + with plt.rc_context(rcParams): + default_lw = plt.rcParams['lines.linewidth'] + min_lw, max_lw = 0.25*default_lw, 2*default_lw + linewidths = normalized * (max_lw - min_lw) + min_lw if vary_linewidth else None + color = magnitudes if vary_color else color + + out = ax.streamplot(xs, ys, us, vs, color=color, linewidth=linewidths, cmap=cmap, norm=norm) + + return out + def streamlines( sys, pointdata, timedata=1, gridspec=None, gridtype=None, dir=None, ax=None, _check_kwargs=True, suppress_warnings=False, **kwargs): diff --git a/control/tests/kwargs_test.py b/control/tests/kwargs_test.py index 2e4919004..b2525a908 100644 --- a/control/tests/kwargs_test.py +++ b/control/tests/kwargs_test.py @@ -172,6 +172,7 @@ def test_unrecognized_kwargs(function, nsssys, ntfsys, moreargs, kwargs, (control.phase_plane_plot, 1, ([-1, 1, -1, 1], 1), {}), (control.phaseplot.streamlines, 1, ([-1, 1, -1, 1], 1), {}), (control.phaseplot.vectorfield, 1, ([-1, 1, -1, 1], ), {}), + (control.phaseplot.streamplot, 1, ([-1, 1, -1, 1], ), {}), (control.phaseplot.equilpoints, 1, ([-1, 1, -1, 1], ), {}), (control.phaseplot.separatrices, 1, ([-1, 1, -1, 1], ), {}), (control.singular_values_plot, 1, (), {})] @@ -360,6 +361,7 @@ def test_response_plot_kwargs(data_fcn, plot_fcn, mimo): optimal_test.test_oep_argument_errors, 'phaseplot.streamlines': test_matplotlib_kwargs, 'phaseplot.vectorfield': test_matplotlib_kwargs, + 'phaseplot.streamplot': test_matplotlib_kwargs, 'phaseplot.equilpoints': test_matplotlib_kwargs, 'phaseplot.separatrices': test_matplotlib_kwargs, } diff --git a/control/tests/phaseplot_test.py b/control/tests/phaseplot_test.py index 106dee6f0..575b4cf68 100644 --- a/control/tests/phaseplot_test.py +++ b/control/tests/phaseplot_test.py @@ -227,6 +227,18 @@ def oscillator_update(t, x, u, params): if savefigs: plt.savefig('phaseplot-oscillator-helpers.png') + plt.figure() + ct.phase_plane_plot( + invpend, [-2*pi, 2*pi, -2, 2], plot_streamlines=False, + plot_streamplot=dict(vary_color=True, vary_density=True), + gridspec=[60, 20], params={'m': 1, 'l': 1, 'b': 0.2, 'g': 1} + ) + plt.xlabel(r"$\theta$ [rad]") + plt.ylabel(r"$\dot\theta$ [rad/sec]") + + if savefigs: + plt.savefig('phaseplot-invpend-streamplot.png') + if __name__ == "__main__": # From 03c3b35d2158887590b7b3d837d8773736e6b2b4 Mon Sep 17 00:00:00 2001 From: Lorenz Kies Date: Sun, 2 Feb 2025 14:00:36 +0100 Subject: [PATCH 02/14] fixed documentation --- control/phaseplot.py | 23 ++++++++++++----------- 1 file changed, 12 insertions(+), 11 deletions(-) diff --git a/control/phaseplot.py b/control/phaseplot.py index 284f0e30c..2b2d73168 100644 --- a/control/phaseplot.py +++ b/control/phaseplot.py @@ -105,6 +105,7 @@ def phase_plane_plot( - lines[0] = list of Line2D objects (streamlines, separatrices). - lines[1] = Quiver object (vector field arrows). - lines[2] = list of Line2D objects (equilibrium points). + - lines[3] = StreamplotSet object (lines with arrows). cplt.axes : 2D array of `matplotlib.axes.Axes` Axes for each subplot. @@ -136,9 +137,9 @@ def phase_plane_plot( and gridtype. If set to a dict, pass on the key-value pairs in the dict as keywords to `phaseplot.vectorfield`. plot_streamplot : bool or dict, optional - If `True` then use matplotlib's streamplot function to plot the - streamlines. If set to a dict, pass on the key-value pairs in the - dict as keywords to :func:`~ + If True then use :func:`matplotlib.axes.Axes.streamplot` function + to plot the streamlines. If set to a dict, pass on the key-value + pairs in the dict as keywords to :func:`~control.phaseplot.streamplot`. plot_equilpoints : bool or dict, optional If True (default) then plot equilibrium points based in the phase plot boundary. If set to a dict, pass on the key-value pairs in the @@ -357,7 +358,7 @@ def streamplot( Parameters ---------- - sys : NonlinearIOSystem or callable(t, x, ...) + sys : `NonlinearIOSystem` or callable(t, x, ...) I/O system or function used to generate phase plane data. If a function is given, the remaining arguments are drawn from the `params` keyword. @@ -376,27 +377,27 @@ def streamplot( color : matplotlib color spec, optional Plot the vector field in the given color. vary_color : bool, optional - If set to `True`, vary the color of the streamlines based on the magnitude + If set to True, vary the color of the streamlines based on the magnitude vary_linewidth : bool, optional - If set to `True`, vary the linewidth of the streamlines based on the magnitude + If set to True, vary the linewidth of the streamlines based on the magnitude cmap : str or Colormap, optional Colormap to use for varying the color of the streamlines - norm : Normalize, optional + norm : `matplotlib.colors.Normalize`, optional An instance of Normalize to use for scaling the colormap and linewidths - ax : matplotlib.axes.Axes + ax : `matplotlib.axes.Axes`, optional Use the given axes for the plot, otherwise use the current axes. Returns ------- - out : Quiver + out : StreamplotSet Other parameters ---------------- rcParams : dict Override the default parameters used for generating plots. - Default is set by config.default['ctrlplot.rcParams']. + Default is set by `config.default['ctrlplot.rcParams']`. suppress_warnings : bool, optional - If set to `True`, suppress warning messages in generating trajectories. + If set to True, suppress warning messages in generating trajectories. """ # Process keywords From ad4083259c79edbee9375a0ccd901a8230926cb8 Mon Sep 17 00:00:00 2001 From: Lorenz Kies Date: Tue, 4 Feb 2025 21:45:26 +0100 Subject: [PATCH 03/14] added soft exclusion logic for streamlines, vectorfield and streamplot and fixed minor documentation issues --- control/phaseplot.py | 42 +++++++++++++++++++++++++++--------------- 1 file changed, 27 insertions(+), 15 deletions(-) diff --git a/control/phaseplot.py b/control/phaseplot.py index 2b2d73168..504241061 100644 --- a/control/phaseplot.py +++ b/control/phaseplot.py @@ -47,14 +47,16 @@ def phase_plane_plot( sys, pointdata=None, timedata=None, gridtype=None, gridspec=None, - plot_streamlines=True, plot_vectorfield=False, plot_equilpoints=True, - plot_separatrices=True, ax=None, suppress_warnings=False, title=None, - plot_streamplot=False, **kwargs + plot_streamlines=None, plot_vectorfield=None, plot_streamplot=None, + plot_equilpoints=True, plot_separatrices=True, ax=None, + suppress_warnings=False, title=None, **kwargs ): """Plot phase plane diagram. This function plots phase plane data, including vector fields, stream lines, equilibrium points, and contour curves. + If none of plot_streamlines, plot_vectorfield, or plot_streamplot are + set, then plot_streamlines is used by default. Parameters ---------- @@ -129,15 +131,15 @@ def phase_plane_plot( 'both' to flow both forward and backward. The amount of time to simulate in each direction is given by the `timedata` argument. plot_streamlines : bool or dict, optional - If True (default) then plot streamlines based on the pointdata - and gridtype. If set to a dict, pass on the key-value pairs in - the dict as keywords to `streamlines`. + If then plot streamlines based on the pointdata and gridtype. If set + to a dict, pass on the key-value pairs in the dict as keywords to + `streamlines`. plot_vectorfield : bool or dict, optional - If True (default) then plot the vector field based on the pointdata - and gridtype. If set to a dict, pass on the key-value pairs in - the dict as keywords to `phaseplot.vectorfield`. + If then plot the vector field based on the pointdata and gridtype. + If set to a dict, pass on the key-value pairs in the dict as keywords + to `phaseplot.vectorfield`. plot_streamplot : bool or dict, optional - If True then use :func:`matplotlib.axes.Axes.streamplot` function + If then use :func:`matplotlib.axes.Axes.streamplot` function to plot the streamlines. If set to a dict, pass on the key-value pairs in the dict as keywords to :func:`~control.phaseplot.streamplot`. plot_equilpoints : bool or dict, optional @@ -157,6 +159,16 @@ def phase_plane_plot( Set the title of the plot. Defaults to plot type and system name(s). """ + if ( + plot_streamlines is None + and plot_vectorfield is None + and plot_streamplot is None + ): + plot_streamlines = True + + if plot_streamplot and not plot_streamlines and not plot_vectorfield: + gridspec = gridspec or [25, 25] + # Process arguments params = kwargs.get('params', None) sys = _create_system(sys, params) @@ -378,12 +390,12 @@ def streamplot( Plot the vector field in the given color. vary_color : bool, optional If set to True, vary the color of the streamlines based on the magnitude - vary_linewidth : bool, optional - If set to True, vary the linewidth of the streamlines based on the magnitude + vary_linewidth : bool, optional. + If set to True, vary the linewidth of the streamlines based on the magnitude. cmap : str or Colormap, optional - Colormap to use for varying the color of the streamlines + Colormap to use for varying the color of the streamlines. norm : `matplotlib.colors.Normalize`, optional - An instance of Normalize to use for scaling the colormap and linewidths + An instance of Normalize to use for scaling the colormap and linewidths. ax : `matplotlib.axes.Axes`, optional Use the given axes for the plot, otherwise use the current axes. @@ -391,7 +403,7 @@ def streamplot( ------- out : StreamplotSet - Other parameters + Other Parameters ---------------- rcParams : dict Override the default parameters used for generating plots. From c806ed5882cc9476e93a8e2dedd94aa652b000f2 Mon Sep 17 00:00:00 2001 From: Lorenz Kies Date: Fri, 7 Feb 2025 13:03:21 +0100 Subject: [PATCH 04/14] added automatic zordering and set streamplot as default, added tests --- control/phaseplot.py | 111 ++++++++++++++++++++------------ control/tests/ctrlplot_test.py | 5 ++ control/tests/phaseplot_test.py | 105 ++++++++++++++++++++++++++---- doc/functions.rst | 1 + 4 files changed, 169 insertions(+), 53 deletions(-) diff --git a/control/phaseplot.py b/control/phaseplot.py index 504241061..16ccfff4f 100644 --- a/control/phaseplot.py +++ b/control/phaseplot.py @@ -56,7 +56,7 @@ def phase_plane_plot( This function plots phase plane data, including vector fields, stream lines, equilibrium points, and contour curves. If none of plot_streamlines, plot_vectorfield, or plot_streamplot are - set, then plot_streamlines is used by default. + set, then plot_streamplot is used by default. Parameters ---------- @@ -164,7 +164,7 @@ def phase_plane_plot( and plot_vectorfield is None and plot_streamplot is None ): - plot_streamlines = True + plot_streamplot = True if plot_streamplot and not plot_streamlines and not plot_vectorfield: gridspec = gridspec or [25, 25] @@ -191,7 +191,10 @@ def _create_kwargs(global_kwargs, local_kwargs, **other_kwargs): return new_kwargs # Create list for storing outputs - out = np.array([[], None, None], dtype=object) + out = np.array([[], None, None, None], dtype=object) + + # the maximum zorder of stramlines, vectorfield or streamplot + flow_zorder = None # Plot out the main elements if plot_streamlines: @@ -201,6 +204,9 @@ def _create_kwargs(global_kwargs, local_kwargs, **other_kwargs): out[0] += streamlines( sys, pointdata, timedata, _check_kwargs=False, suppress_warnings=suppress_warnings, **kwargs_local) + + new_zorder = max(elem.get_zorder() for elem in out[0]) + flow_zorder = max(flow_zorder, new_zorder) if flow_zorder else new_zorder # Get rid of keyword arguments handled by streamlines for kw in ['arrows', 'arrow_size', 'arrow_style', 'color', @@ -211,39 +217,56 @@ def _create_kwargs(global_kwargs, local_kwargs, **other_kwargs): if gridtype not in [None, 'boxgrid', 'meshgrid']: gridspec = None - if plot_separatrices: - kwargs_local = _create_kwargs( - kwargs, plot_separatrices, gridspec=gridspec, ax=ax) - out[0] += separatrices( - sys, pointdata, _check_kwargs=False, **kwargs_local) - - # Get rid of keyword arguments handled by separatrices - for kw in ['arrows', 'arrow_size', 'arrow_style', 'params']: - initial_kwargs.pop(kw, None) - if plot_vectorfield: kwargs_local = _create_kwargs( kwargs, plot_vectorfield, gridspec=gridspec, ax=ax) out[1] = vectorfield( sys, pointdata, _check_kwargs=False, **kwargs_local) + + new_zorder = out[1].get_zorder() + flow_zorder = max(flow_zorder, new_zorder) if flow_zorder else new_zorder # Get rid of keyword arguments handled by vectorfield for kw in ['color', 'params']: initial_kwargs.pop(kw, None) if plot_streamplot: + if gridtype not in [None, 'meshgrid']: + raise ValueError("gridtype must be 'meshgrid' when using streamplot") + kwargs_local = _create_kwargs( kwargs, plot_streamplot, gridspec=gridspec, ax=ax) - streamplot( + out[3] = streamplot( sys, pointdata, _check_kwargs=False, **kwargs_local) + + new_zorder = max(out[3].lines.get_zorder(), out[3].arrows.get_zorder()) + flow_zorder = max(flow_zorder, new_zorder) if flow_zorder else new_zorder # Get rid of keyword arguments handled by streamplot for kw in ['color', 'params']: initial_kwargs.pop(kw, None) + sep_zorder = flow_zorder + 1 if flow_zorder else None + + if plot_separatrices: + kwargs_local = _create_kwargs( + kwargs, plot_separatrices, gridspec=gridspec, ax=ax) + kwargs_local['zorder'] = kwargs_local.get('zorder', sep_zorder) + out[0] += separatrices( + sys, pointdata, _check_kwargs=False, **kwargs_local) + + sep_zorder = max(elem.get_zorder() for elem in out[0]) + + # Get rid of keyword arguments handled by separatrices + for kw in ['arrows', 'arrow_size', 'arrow_style', 'params']: + initial_kwargs.pop(kw, None) + + equil_zorder = sep_zorder + 1 if sep_zorder else None + if plot_equilpoints: kwargs_local = _create_kwargs( kwargs, plot_equilpoints, gridspec=gridspec, ax=ax) + kwargs_local['zorder'] = kwargs_local.get('zorder', equil_zorder) out[2] = equilpoints( sys, pointdata, _check_kwargs=False, **kwargs_local) @@ -267,8 +290,8 @@ def _create_kwargs(global_kwargs, local_kwargs, **other_kwargs): def vectorfield( - sys, pointdata, gridspec=None, ax=None, suppress_warnings=False, - _check_kwargs=True, **kwargs): + sys, pointdata, gridspec=None, zorder=None, ax=None, + suppress_warnings=False, _check_kwargs=True, **kwargs): """Plot a vector field in the phase plane. This function plots a vector field for a two-dimensional state @@ -302,6 +325,9 @@ def vectorfield( dict with key 'args' and value given by a tuple (passed to callable). color : matplotlib color spec, optional Plot the vector field in the given color. + zorder : float, optional + Set the zorder for the separatrices. In not specified, it will be + automatically chosen by `matplotlib.axes.Axes.quiver`. ax : `matplotlib.axes.Axes`, optional Use the given axes for the plot, otherwise use the current axes. @@ -354,19 +380,19 @@ def vectorfield( with plt.rc_context(rcParams): out = ax.quiver( vfdata[:, 0], vfdata[:, 1], vfdata[:, 2], vfdata[:, 3], - angles='xy', color=color) + angles='xy', color=color, zorder=zorder) return out def streamplot( - sys, pointdata, gridspec=None, ax=None, vary_color=False, + sys, pointdata, gridspec=None, zorder=None, ax=None, vary_color=False, vary_linewidth=False, cmap=None, norm=None, suppress_warnings=False, _check_kwargs=True, **kwargs): - """Plot a vector field in the phase plane. + """Plot streamlines in the phase plane. - This function plots a vector field for a two-dimensional state - space system. + This function plots the streamlines for a two-dimensional state + space system using the `matplotlib.axes.Axes.streamplot` function. Parameters ---------- @@ -376,9 +402,7 @@ def streamplot( `params` keyword. pointdata : list or 2D array List of the form [xmin, xmax, ymin, ymax] describing the - boundaries of the phase plot or an array of shape (N, 2) - giving points from which to make the streamplot. In the latter case, - the points lie on a grid like that generated by `meshgrid`. + boundaries of the phase plot. gridspec : list, optional Specifies the size of the grid in the x and y axes on which to generate points. @@ -396,6 +420,9 @@ def streamplot( Colormap to use for varying the color of the streamlines. norm : `matplotlib.colors.Normalize`, optional An instance of Normalize to use for scaling the colormap and linewidths. + zorder : float, optional + Set the zorder for the separatrices. In not specified, it will be + automatically chosen by `matplotlib.axes.Axes.streamplot`. ax : `matplotlib.axes.Axes`, optional Use the given axes for the plot, otherwise use the current axes. @@ -423,15 +450,6 @@ def streamplot( # Determine the points on which to generate the streamplot field points, gridspec = _make_points(pointdata, gridspec, 'meshgrid') - - # attempt to recover the grid by counting the jumps in xvals - if gridspec is None: - nrows = np.sum(np.diff(points[:, 0]) < 0) + 1 - ncols = points.shape[0] // nrows - if nrows * ncols != points.shape[0]: - raise ValueError("Could not recover grid from points.") - gridspec = [nrows, ncols] - grid_arr_shape = gridspec[::-1] xs, ys = points[:, 0].reshape(grid_arr_shape), points[:, 1].reshape(grid_arr_shape) @@ -465,13 +483,15 @@ def streamplot( linewidths = normalized * (max_lw - min_lw) + min_lw if vary_linewidth else None color = magnitudes if vary_color else color - out = ax.streamplot(xs, ys, us, vs, color=color, linewidth=linewidths, cmap=cmap, norm=norm) + out = ax.streamplot(xs, ys, us, vs, color=color, linewidth=linewidths, + cmap=cmap, norm=norm, zorder=zorder) return out def streamlines( sys, pointdata, timedata=1, gridspec=None, gridtype=None, dir=None, - ax=None, _check_kwargs=True, suppress_warnings=False, **kwargs): + zorder=None, ax=None, _check_kwargs=True, suppress_warnings=False, + **kwargs): """Plot stream lines in the phase plane. This function plots stream lines for a two-dimensional state space @@ -513,6 +533,9 @@ def streamlines( dict with key 'args' and value given by a tuple (passed to callable). color : str Plot the streamlines in the given color. + zorder : float, optional + Set the zorder for the separatrices. In not specified, it will be + automatically chosen by `matplotlib.axes.Axes.plot`. ax : `matplotlib.axes.Axes`, optional Use the given axes for the plot, otherwise use the current axes. @@ -591,7 +614,7 @@ def streamlines( # Plot the trajectory (if there is one) if traj.shape[1] > 1: with plt.rc_context(rcParams): - out += ax.plot(traj[0], traj[1], color=color) + out += ax.plot(traj[0], traj[1], color=color, zorder=zorder) # Add arrows to the lines at specified intervals _add_arrows_to_line2D( @@ -600,7 +623,7 @@ def streamlines( def equilpoints( - sys, pointdata, gridspec=None, color='k', ax=None, + sys, pointdata, gridspec=None, color='k', zorder=None, ax=None, _check_kwargs=True, **kwargs): """Plot equilibrium points in the phase plane. @@ -634,6 +657,9 @@ def equilpoints( dict with key 'args' and value given by a tuple (passed to callable). color : str Plot the equilibrium points in the given color. + zorder : float, optional + Set the zorder for the separatrices. In not specified, it will be + automatically chosen by `matplotlib.axes.Axes.plot`. ax : `matplotlib.axes.Axes`, optional Use the given axes for the plot, otherwise use the current axes. @@ -679,12 +705,12 @@ def equilpoints( out = [] for xeq in equilpts: with plt.rc_context(rcParams): - out += ax.plot(xeq[0], xeq[1], marker='o', color=color) + out += ax.plot(xeq[0], xeq[1], marker='o', color=color, zorder=zorder) return out def separatrices( - sys, pointdata, timedata=None, gridspec=None, ax=None, + sys, pointdata, timedata=None, gridspec=None, zorder=None, ax=None, _check_kwargs=True, suppress_warnings=False, **kwargs): """Plot separatrices in the phase plane. @@ -726,6 +752,9 @@ def separatrices( separatrices. If a tuple is given, the first element is used as the color specification for stable separatrices and the second element for unstable separatrices. + zorder : float, optional + Set the zorder for the separatrices. In not specified, it will be + automatically chosen by `matplotlib.axes.Axes.plot`. ax : `matplotlib.axes.Axes`, optional Use the given axes for the plot, otherwise use the current axes. @@ -802,7 +831,7 @@ def separatrices( for i, xeq in enumerate(equilpts): # Plot the equilibrium points with plt.rc_context(rcParams): - out += ax.plot(xeq[0], xeq[1], marker='o', color='k') + out += ax.plot(xeq[0], xeq[1], marker='o', color='k', zorder=zorder) # Figure out the linearization and eigenvectors evals, evecs = np.linalg.eig(sys.linearize(xeq, 0, params=params).A) @@ -844,7 +873,7 @@ def separatrices( if traj.shape[1] > 1: with plt.rc_context(rcParams): out += ax.plot( - traj[0], traj[1], color=color, linestyle=linestyle) + traj[0], traj[1], color=color, linestyle=linestyle, zorder=zorder) # Add arrows to the lines at specified intervals with plt.rc_context(rcParams): diff --git a/control/tests/ctrlplot_test.py b/control/tests/ctrlplot_test.py index b7192c844..221085328 100644 --- a/control/tests/ctrlplot_test.py +++ b/control/tests/ctrlplot_test.py @@ -116,6 +116,11 @@ def setup_plot_arguments(resp_fcn, plot_fcn, compute_time_response=True): args2 = (sys2, ) argsc = ([sys1, sys2], ) + case (None, ct.phase_plane_plot): + args1 = (sys1, ) + args2 = (sys2, ) + plot_kwargs = {'plot_streamlines': True} + case _, _: args1 = (sys1, ) args2 = (sys2, ) diff --git a/control/tests/phaseplot_test.py b/control/tests/phaseplot_test.py index 575b4cf68..a6c9fefaf 100644 --- a/control/tests/phaseplot_test.py +++ b/control/tests/phaseplot_test.py @@ -12,6 +12,7 @@ import warnings from math import pi +import matplotlib as mpl import matplotlib.pyplot as plt import numpy as np import pytest @@ -138,29 +139,38 @@ def invpend_ode(t, x, m=0, l=0, b=0, g=0): # Use callable form, with parameters (if not correct, will get /0 error) ct.phase_plane_plot( - invpend_ode, [-5, 5, -2, 2], params={'args': (1, 1, 0.2, 1)}) + invpend_ode, [-5, 5, -2, 2], params={'args': (1, 1, 0.2, 1)}, + plot_streamlines=True) # Linear I/O system ct.phase_plane_plot( - ct.ss([[0, 1], [-1, -1]], [[0], [1]], [[1, 0]], 0)) + ct.ss([[0, 1], [-1, -1]], [[0], [1]], [[1, 0]], 0), + plot_streamlines=True) @pytest.mark.usefixtures('mplcleanup') def test_phaseplane_errors(): with pytest.raises(ValueError, match="invalid grid specification"): - ct.phase_plane_plot(ct.rss(2, 1, 1), gridspec='bad') + ct.phase_plane_plot(ct.rss(2, 1, 1), gridspec='bad', + plot_streamlines=True) with pytest.raises(ValueError, match="unknown grid type"): - ct.phase_plane_plot(ct.rss(2, 1, 1), gridtype='bad') + ct.phase_plane_plot(ct.rss(2, 1, 1), gridtype='bad', + plot_streamlines=True) with pytest.raises(ValueError, match="system must be planar"): - ct.phase_plane_plot(ct.rss(3, 1, 1)) + ct.phase_plane_plot(ct.rss(3, 1, 1), + plot_streamlines=True) with pytest.raises(ValueError, match="params must be dict with key"): def invpend_ode(t, x, m=0, l=0, b=0, g=0): return (x[1], -b/m*x[1] + (g*l/m) * np.sin(x[0])) ct.phase_plane_plot( - invpend_ode, [-5, 5, 2, 2], params={'stuff': (1, 1, 0.2, 1)}) + invpend_ode, [-5, 5, 2, 2], params={'stuff': (1, 1, 0.2, 1)}, + plot_streamlines=True) + + with pytest.raises(ValueError, match="gridtype must be 'meshgrid' when using streamplot"): + ct.phase_plane_plot(ct.rss(2, 1, 1), plot_streamplot=True, gridtype='boxgrid') # Warning messages for invalid solutions: nonlinear spring mass system sys = ct.nlsys( @@ -170,14 +180,84 @@ def invpend_ode(t, x, m=0, l=0, b=0, g=0): with pytest.warns(UserWarning, match=r"X0=array\(.*\), solve_ivp failed"): ct.phase_plane_plot( sys, [-12, 12, -10, 10], 15, gridspec=[2, 9], - plot_separatrices=False) + plot_separatrices=False, plot_streamlines=True) # Turn warnings off with warnings.catch_warnings(): warnings.simplefilter("error") ct.phase_plane_plot( sys, [-12, 12, -10, 10], 15, gridspec=[2, 9], - plot_separatrices=False, suppress_warnings=True) + plot_streamlines=True, plot_separatrices=False, + suppress_warnings=True) + +@pytest.mark.usefixtures('mplcleanup') +def test_phase_plot_zorder(): + # some of these tests are a bit akward since the streamlines and separatrices + # are stored in the same list, so we separate them by color + key_color = "tab:blue" # must not be 'k', 'r', 'b' since they are used by separatrices + + def get_zorders(cplt): + max_zorder = lambda items: max([line.get_zorder() for line in items]) + assert isinstance(cplt.lines[0], list) + streamline_lines = [line for line in cplt.lines[0] if line.get_color() == key_color] + separatrice_lines = [line for line in cplt.lines[0] if line.get_color() != key_color] + streamlines = max_zorder(streamline_lines) if streamline_lines else None + separatrices = max_zorder(separatrice_lines) if separatrice_lines else None + assert cplt.lines[1] == None or isinstance(cplt.lines[1], mpl.quiver.Quiver) + quiver = cplt.lines[1].get_zorder() if cplt.lines[1] else None + assert cplt.lines[2] == None or isinstance(cplt.lines[2], list) + equilpoints = max_zorder(cplt.lines[2]) if cplt.lines[2] else None + assert cplt.lines[3] == None or isinstance(cplt.lines[3], mpl.streamplot.StreamplotSet) + streamplot = max(cplt.lines[3].lines.get_zorder(), cplt.lines[3].arrows.get_zorder()) if cplt.lines[3] else None + return streamlines, quiver, streamplot, separatrices, equilpoints + + def assert_orders(streamlines, quiver, streamplot, separatrices, equilpoints): + print(streamlines, quiver, streamplot, separatrices, equilpoints) + if streamlines is not None: + assert streamlines < separatrices < equilpoints + if quiver is not None: + assert quiver < separatrices < equilpoints + if streamplot is not None: + assert streamplot < separatrices < equilpoints + + sys = ct.rss(2, 1, 1) + + # ensure correct zordering for all three flow types + res_streamlines = ct.phase_plane_plot(sys, plot_streamlines=dict(color=key_color)) + assert_orders(*get_zorders(res_streamlines)) + res_vectorfield = ct.phase_plane_plot(sys, plot_vectorfield=True) + assert_orders(*get_zorders(res_vectorfield)) + res_streamplot = ct.phase_plane_plot(sys, plot_streamplot=True) + assert_orders(*get_zorders(res_streamplot)) + + # ensure that zorder can still be overwritten + res_reversed = ct.phase_plane_plot(sys, plot_streamlines=dict(color=key_color, zorder=50), plot_vectorfield=dict(zorder=40), + plot_streamplot=dict(zorder=30), plot_separatrices=dict(zorder=20), plot_equilpoints=dict(zorder=10)) + streamlines, quiver, streamplot, separatrices, equilpoints = get_zorders(res_reversed) + assert streamlines > quiver > streamplot > separatrices > equilpoints + + +@pytest.mark.usefixtures('mplcleanup') +def test_stream_plot_magnitude(): + sys = ct.rss(2, 1, 1) + # plt context with linewidth + with plt.rc_context({'lines.linewidth': 4}): + res = ct.phase_plane_plot(sys, plot_streamplot=dict(vary_linewidth=True)) + linewidths = res.lines[3].lines.get_linewidths() + # linewidths are scaled to be between 0.25 and 2 times default linewidth + # but the extremes may not exist if there is no line at that point + assert min(linewidths) < 2 and max(linewidths) > 7 + + # make sure changing the colormap works + res = ct.phase_plane_plot(sys, plot_streamplot=dict(vary_color=True, cmap='viridis')) + assert res.lines[3].lines.get_cmap().name == 'viridis' + res = ct.phase_plane_plot(sys, plot_streamplot=dict(vary_color=True, cmap='turbo')) + assert res.lines[3].lines.get_cmap().name == 'turbo' + + # make sure changing the norm at least doesn't throw an error + ct.phase_plane_plot(sys, plot_streamplot=dict(vary_color=True, norm=mpl.colors.LogNorm())) + + @pytest.mark.usefixtures('mplcleanup') @@ -189,7 +269,7 @@ def test_basic_phase_plots(savefigs=False): plt.figure() axis_limits = [-1, 1, -1, 1] T = 8 - ct.phase_plane_plot(sys, axis_limits, T) + ct.phase_plane_plot(sys, axis_limits, T, plot_streamlines=True) if savefigs: plt.savefig('phaseplot-dampedosc-default.png') @@ -202,7 +282,7 @@ def invpend_update(t, x, u, params): ct.phase_plane_plot( invpend, [-2*pi, 2*pi, -2, 2], 5, gridtype='meshgrid', gridspec=[5, 8], arrows=3, - plot_separatrices={'gridspec': [12, 9]}, + plot_separatrices={'gridspec': [12, 9]}, plot_streamlines=True, params={'m': 1, 'l': 1, 'b': 0.2, 'g': 1}) plt.xlabel(r"$\theta$ [rad]") plt.ylabel(r"$\dot\theta$ [rad/sec]") @@ -217,7 +297,8 @@ def oscillator_update(t, x, u, params): oscillator_update, states=2, inputs=0, name='nonlinear oscillator') plt.figure() - ct.phase_plane_plot(oscillator, [-1.5, 1.5, -1.5, 1.5], 0.9) + ct.phase_plane_plot(oscillator, [-1.5, 1.5, -1.5, 1.5], 0.9, + plot_streamlines=True) pp.streamlines( oscillator, np.array([[0, 0]]), 1.5, gridtype='circlegrid', gridspec=[0.5, 6], dir='both') @@ -229,7 +310,7 @@ def oscillator_update(t, x, u, params): plt.figure() ct.phase_plane_plot( - invpend, [-2*pi, 2*pi, -2, 2], plot_streamlines=False, + invpend, [-2*pi, 2*pi, -2, 2], plot_streamplot=dict(vary_color=True, vary_density=True), gridspec=[60, 20], params={'m': 1, 'l': 1, 'b': 0.2, 'g': 1} ) diff --git a/doc/functions.rst b/doc/functions.rst index db9a5a08c..d657fd431 100644 --- a/doc/functions.rst +++ b/doc/functions.rst @@ -103,6 +103,7 @@ Phase plane plots phaseplot.separatrices phaseplot.streamlines phaseplot.vectorfield + phaseplot.streamplot Frequency Response From 7a0c8f2caa1a9cc4b43137b3d8da5fce5e25921e Mon Sep 17 00:00:00 2001 From: Lorenz Kies Date: Sun, 9 Feb 2025 21:24:45 +0100 Subject: [PATCH 05/14] dont plot equilpoints in separatrices() --- control/phaseplot.py | 4 ---- 1 file changed, 4 deletions(-) diff --git a/control/phaseplot.py b/control/phaseplot.py index 16ccfff4f..d3ba8713f 100644 --- a/control/phaseplot.py +++ b/control/phaseplot.py @@ -829,10 +829,6 @@ def separatrices( # Plot separatrices by flowing backwards in time along eigenspaces out = [] for i, xeq in enumerate(equilpts): - # Plot the equilibrium points - with plt.rc_context(rcParams): - out += ax.plot(xeq[0], xeq[1], marker='o', color='k', zorder=zorder) - # Figure out the linearization and eigenvectors evals, evecs = np.linalg.eig(sys.linearize(xeq, 0, params=params).A) From 1f702f643a30f4a2e91fa75cbd5bc599f2bec3a4 Mon Sep 17 00:00:00 2001 From: Lorenz Kies Date: Sun, 9 Feb 2025 21:26:45 +0100 Subject: [PATCH 06/14] check for legacy usage of phase_plane_plot that expects plot_streamlines to be the default --- control/phaseplot.py | 15 +++++++++++++++ 1 file changed, 15 insertions(+) diff --git a/control/phaseplot.py b/control/phaseplot.py index d3ba8713f..ebc2f0fc7 100644 --- a/control/phaseplot.py +++ b/control/phaseplot.py @@ -159,6 +159,21 @@ def phase_plane_plot( Set the title of the plot. Defaults to plot type and system name(s). """ + # Check for legacy usage of plot_streamlines + streamline_keywords = [ + 'arrows', 'arrow_size', 'arrow_style', 'color', 'dir', 'params'] + if plot_streamlines is None: + if any([kw in kwargs for kw in streamline_keywords]): + warnings.warn( + "detected streamline keywords; use plot_streamlines to set", + FutureWarning) + plot_streamlines = True + if gridtype not in [None, 'meshgrid']: + warnings.warn( + "streamplots only support gridtype='meshgrid'; " + "falling back to streamlines") + plot_streamlines = True + if ( plot_streamlines is None and plot_vectorfield is None From cf8303b75dc35eace0fd02767867ca45cf9e1019 Mon Sep 17 00:00:00 2001 From: Lorenz Kies Date: Sun, 9 Feb 2025 22:50:40 +0100 Subject: [PATCH 07/14] added explicit plot_streamlines=True in examples --- examples/phase_plane_plots.py | 44 ++++++++++++++++++++--------------- 1 file changed, 25 insertions(+), 19 deletions(-) diff --git a/examples/phase_plane_plots.py b/examples/phase_plane_plots.py index b3b2a01c3..950a96a4e 100644 --- a/examples/phase_plane_plots.py +++ b/examples/phase_plane_plots.py @@ -32,19 +32,21 @@ def damposc_update(t, x, u, params): fig.set_tight_layout(True) plt.suptitle("FBS Figure 5.3: damped oscillator") -ct.phase_plane_plot(damposc, [-1, 1, -1, 1], 8, ax=ax1) +ct.phase_plane_plot(damposc, [-1, 1, -1, 1], 8, ax=ax1, plot_streamlines=True) ax1.set_title("boxgrid [-1, 1, -1, 1], 8") -ct.phase_plane_plot(damposc, [-1, 1, -1, 1], ax=ax2, gridtype='meshgrid') +ct.phase_plane_plot(damposc, [-1, 1, -1, 1], ax=ax2, plot_streamlines=True, + gridtype='meshgrid') ax2.set_title("meshgrid [-1, 1, -1, 1]") ct.phase_plane_plot( - damposc, [-1, 1, -1, 1], 4, ax=ax3, gridtype='circlegrid', dir='both') + damposc, [-1, 1, -1, 1], 4, ax=ax3, plot_streamlines=True, + gridtype='circlegrid', dir='both') ax3.set_title("circlegrid [0, 0, 1], 4, both") ct.phase_plane_plot( damposc, [-1, 1, -1, 1], ax=ax4, gridtype='circlegrid', - dir='reverse', gridspec=[0.1, 12], timedata=5) + plot_streamlines=True, dir='reverse', gridspec=[0.1, 12], timedata=5) ax4.set_title("circlegrid [0, 0, 0.1], reverse") # @@ -63,21 +65,23 @@ def invpend_update(t, x, u, params): plt.suptitle("FBS Figure 5.4: inverted pendulum") ct.phase_plane_plot( - invpend, [-2*pi, 2*pi, -2, 2], 5, ax=ax1) + invpend, [-2*pi, 2*pi, -2, 2], 5, ax=ax1, plot_streamlines=True) ax1.set_title("default, 5") ct.phase_plane_plot( - invpend, [-2*pi, 2*pi, -2, 2], gridtype='meshgrid', ax=ax2) + invpend, [-2*pi, 2*pi, -2, 2], gridtype='meshgrid', ax=ax2, + plot_streamlines=True) ax2.set_title("meshgrid") ct.phase_plane_plot( invpend, [-2*pi, 2*pi, -2, 2], 1, gridtype='meshgrid', - gridspec=[12, 9], ax=ax3, arrows=1) + gridspec=[12, 9], ax=ax3, arrows=1, plot_streamlines=True) ax3.set_title("denser grid") ct.phase_plane_plot( invpend, [-2*pi, 2*pi, -2, 2], 4, gridspec=[6, 6], - plot_separatrices={'timedata': 20, 'arrows': 4}, ax=ax4) + plot_separatrices={'timedata': 20, 'arrows': 4}, ax=ax4, + plot_streamlines=True) ax4.set_title("custom") # @@ -95,28 +99,30 @@ def oscillator_update(t, x, u, params): fig.set_tight_layout(True) plt.suptitle("FBS Figure 5.5: Nonlinear oscillator") -ct.phase_plane_plot(oscillator, [-1.5, 1.5, -1.5, 1.5], 3, ax=ax1) +ct.phase_plane_plot(oscillator, [-1.5, 1.5, -1.5, 1.5], 3, ax=ax1, + plot_streamlines=True) ax1.set_title("default, 3") ax1.set_aspect('equal') try: ct.phase_plane_plot( oscillator, [-1.5, 1.5, -1.5, 1.5], 1, gridtype='meshgrid', - dir='forward', ax=ax2) + dir='forward', ax=ax2, plot_streamlines=True) except RuntimeError as inst: - axs[0,1].text(0, 0, "Runtime Error") + ax2.text(0, 0, "Runtime Error") warnings.warn(inst.__str__()) ax2.set_title("meshgrid, forward, 0.5") ax2.set_aspect('equal') -ct.phase_plane_plot(oscillator, [-1.5, 1.5, -1.5, 1.5], ax=ax3) +ct.phase_plane_plot(oscillator, [-1.5, 1.5, -1.5, 1.5], ax=ax3, + plot_streamlines=True) pp.streamlines( oscillator, [-0.5, 0.5, -0.5, 0.5], dir='both', ax=ax3) ax3.set_title("outer + inner") ax3.set_aspect('equal') ct.phase_plane_plot( - oscillator, [-1.5, 1.5, -1.5, 1.5], 0.9, ax=ax4) + oscillator, [-1.5, 1.5, -1.5, 1.5], 0.9, ax=ax4, plot_streamlines=True) pp.streamlines( oscillator, np.array([[0, 0]]), 1.5, gridtype='circlegrid', gridspec=[0.5, 6], dir='both', ax=ax4) @@ -137,11 +143,11 @@ def saddle_update(t, x, u, params): fig.set_tight_layout(True) plt.suptitle("FBS Figure 5.9: Saddle") -ct.phase_plane_plot(saddle, [-1, 1, -1, 1], ax=ax1) +ct.phase_plane_plot(saddle, [-1, 1, -1, 1], ax=ax1, plot_streamlines=True) ax1.set_title("default") ct.phase_plane_plot( - saddle, [-1, 1, -1, 1], 0.5, gridtype='meshgrid', ax=ax2) + saddle, [-1, 1, -1, 1], 0.5, gridtype='meshgrid', ax=ax2, plot_streamlines=True) ax2.set_title("meshgrid") ct.phase_plane_plot( @@ -150,7 +156,7 @@ def saddle_update(t, x, u, params): ax3.set_title("vectorfield") ct.phase_plane_plot( - saddle, [-1, 1, -1, 1], 0.3, + saddle, [-1, 1, -1, 1], 0.3, plot_streamlines=True, gridtype='meshgrid', gridspec=[5, 7], ax=ax4) ax3.set_title("custom") @@ -182,7 +188,7 @@ def _congctrl_update(t, x, u, params): try: ct.phase_plane_plot( - congctrl, [0, 10, 100, 500], 120, ax=ax1) + congctrl, [0, 10, 100, 500], 120, ax=ax1, plot_streamlines=True) except RuntimeError as inst: ax1.text(5, 250, "Runtime Error") warnings.warn(inst.__str__()) @@ -190,7 +196,7 @@ def _congctrl_update(t, x, u, params): try: ct.phase_plane_plot( - congctrl, [0, 10, 100, 500], 120, + congctrl, [0, 10, 100, 500], 120, plot_streamlines=True, params={'rho': 4e-4, 'c': 20}, ax=ax2) except RuntimeError as inst: ax2.text(5, 250, "Runtime Error") @@ -203,7 +209,7 @@ def _congctrl_update(t, x, u, params): ax3.set_title("vector field") ct.phase_plane_plot( - congctrl, [2, 6, 200, 300], 100, + congctrl, [2, 6, 200, 300], 100, plot_streamlines=True, params={'rho': 4e-4, 'c': 20}, ax=ax4, plot_vectorfield={'gridspec': [12, 9]}) ax4.set_title("vector field + streamlines") From 1282ec0b2feebc870fcb19ad444ca20d0a7e7f71 Mon Sep 17 00:00:00 2001 From: Lorenz Kies Date: Sun, 9 Feb 2025 22:51:58 +0100 Subject: [PATCH 08/14] fixed legacy usage check --- control/phaseplot.py | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/control/phaseplot.py b/control/phaseplot.py index ebc2f0fc7..531f07ce2 100644 --- a/control/phaseplot.py +++ b/control/phaseplot.py @@ -161,7 +161,7 @@ def phase_plane_plot( """ # Check for legacy usage of plot_streamlines streamline_keywords = [ - 'arrows', 'arrow_size', 'arrow_style', 'color', 'dir', 'params'] + 'arrows', 'arrow_size', 'arrow_style', 'dir'] if plot_streamlines is None: if any([kw in kwargs for kw in streamline_keywords]): warnings.warn( @@ -270,7 +270,7 @@ def _create_kwargs(global_kwargs, local_kwargs, **other_kwargs): out[0] += separatrices( sys, pointdata, _check_kwargs=False, **kwargs_local) - sep_zorder = max(elem.get_zorder() for elem in out[0]) + sep_zorder = max(elem.get_zorder() for elem in out[0]) if out[0] else None # Get rid of keyword arguments handled by separatrices for kw in ['arrows', 'arrow_size', 'arrow_style', 'params']: From 81d9c1e2ecd3a5ac6cda1f095e4a064d27dae165 Mon Sep 17 00:00:00 2001 From: Lorenz Kies Date: Sun, 9 Feb 2025 22:52:12 +0100 Subject: [PATCH 09/14] updated documentation for phaseplot module --- doc/phaseplot.rst | 40 ++++++++++++++++++++-------------------- 1 file changed, 20 insertions(+), 20 deletions(-) diff --git a/doc/phaseplot.rst b/doc/phaseplot.rst index 324b3baf4..b8bbdea33 100644 --- a/doc/phaseplot.rst +++ b/doc/phaseplot.rst @@ -12,7 +12,7 @@ functionality is supported by a set of mapping functions that are part of the `phaseplot` module. The default method for generating a phase plane plot is to provide a -2D dynamical system along with a range of coordinates and time limit: +2D dynamical system along with a range of coordinates in phase space: .. testsetup:: phaseplot @@ -27,8 +27,7 @@ The default method for generating a phase plane plot is to provide a sys_update, states=['position', 'velocity'], inputs=0, name='damped oscillator') axis_limits = [-1, 1, -1, 1] - T = 8 - ct.phase_plane_plot(sys, axis_limits, T) + ct.phase_plane_plot(sys, axis_limits) .. testcode:: phaseplot :hide: @@ -39,12 +38,12 @@ The default method for generating a phase plane plot is to provide a .. image:: figures/phaseplot-dampedosc-default.png :align: center -By default, the plot includes streamlines generated from starting -points on limits of the plot, with arrows showing the flow of the -system, as well as any equilibrium points for the system. A variety +By default the plot includes streamlines infered from function values +on a grid, equilibrium points and separatrices if they exist. A variety of options are available to modify the information that is plotted, -including plotting a grid of vectors instead of streamlines and -turning on and off various features of the plot. +including plotting a grid of vectors instead of streamlines, plotting +streamlines from arbitrary starting points and turning on and off +various features of the plot. To illustrate some of these possibilities, consider a phase plane plot for an inverted pendulum system, which is created using a mesh grid: @@ -62,9 +61,7 @@ an inverted pendulum system, which is created using a mesh grid: invpend = ct.nlsys(invpend_update, states=2, inputs=1, name='invpend') ct.phase_plane_plot( - invpend, [-2 * np.pi, 2 * np.pi, -2, 2], 5, - gridtype='meshgrid', gridspec=[5, 8], arrows=3, - plot_equilpoints={'gridspec': [12, 9]}, + invpend, [-2 * np.pi, 2 * np.pi, -2, 2], params={'m': 1, 'l': 1, 'b': 0.2, 'g': 1}) plt.xlabel(r"$\theta$ [rad]") plt.ylabel(r"$\dot\theta$ [rad/sec]") @@ -79,16 +76,17 @@ an inverted pendulum system, which is created using a mesh grid: This figure shows several features of more complex phase plane plots: multiple equilibrium points are shown, with saddle points showing -separatrices, and streamlines generated along a 5x8 mesh of initial -conditions. At each mesh point, a streamline is created that goes 5 time -units forward and backward in time. A separate grid specification is used -to find equilibrium points and separatrices (since the course grid spacing -of 5x8 does not find all possible equilibrium points). Together, the -multiple features in the phase plane plot give a good global picture of the -topological structure of solutions of the dynamical system. +separatrices, and streamlines generated generated from a rectangular 25x25 +grid (default) of function evaluations. Together, the multiple features in +the phase plane plot give a good global picture of the topological structure +of solutions of the dynamical system. Phase plots can be built up by hand using a variety of helper functions that -are part of the :mod:`phaseplot` (pp) module: +are part of the :mod:`phaseplot` (pp) module. For more precise control, the +streamlines can also generated by integrating the system forwads or backwards +in time from a set of initial conditions. The initial conditions can be chosen +on a rectangular grid, rectangual boundary, circle or from an arbitrary set of +points. .. testcode:: phaseplot :hide: @@ -105,7 +103,8 @@ are part of the :mod:`phaseplot` (pp) module: oscillator = ct.nlsys( oscillator_update, states=2, inputs=0, name='nonlinear oscillator') - ct.phase_plane_plot(oscillator, [-1.5, 1.5, -1.5, 1.5], 0.9) + ct.phase_plane_plot(oscillator, [-1.5, 1.5, -1.5, 1.5], 0.9, + plot_streamlines=True) pp.streamlines( oscillator, np.array([[0, 0]]), 1.5, gridtype='circlegrid', gridspec=[0.5, 6], dir='both') @@ -129,6 +128,7 @@ The following helper functions are available: phaseplot.separatrices phaseplot.streamlines phaseplot.vectorfield + phaseplot.streamplot The :func:`phase_plane_plot` function calls these helper functions based on the options it is passed. From 4724e5ad45918bf5127f89d1aa79f061a3b37e71 Mon Sep 17 00:00:00 2001 From: Lorenz Kies Date: Sun, 9 Feb 2025 23:11:47 +0100 Subject: [PATCH 10/14] fixed phaseplot test to use system which will always have separatrices --- control/tests/phaseplot_test.py | 10 +++++++--- 1 file changed, 7 insertions(+), 3 deletions(-) diff --git a/control/tests/phaseplot_test.py b/control/tests/phaseplot_test.py index a6c9fefaf..18c163582 100644 --- a/control/tests/phaseplot_test.py +++ b/control/tests/phaseplot_test.py @@ -170,7 +170,8 @@ def invpend_ode(t, x, m=0, l=0, b=0, g=0): plot_streamlines=True) with pytest.raises(ValueError, match="gridtype must be 'meshgrid' when using streamplot"): - ct.phase_plane_plot(ct.rss(2, 1, 1), plot_streamplot=True, gridtype='boxgrid') + ct.phase_plane_plot(ct.rss(2, 1, 1), plot_streamlines=False, + plot_streamplot=True, gridtype='boxgrid') # Warning messages for invalid solutions: nonlinear spring mass system sys = ct.nlsys( @@ -220,7 +221,8 @@ def assert_orders(streamlines, quiver, streamplot, separatrices, equilpoints): if streamplot is not None: assert streamplot < separatrices < equilpoints - sys = ct.rss(2, 1, 1) + def sys(t, x): + return np.array([4*x[1], -np.sin(4*x[0])]) # ensure correct zordering for all three flow types res_streamlines = ct.phase_plane_plot(sys, plot_streamlines=dict(color=key_color)) @@ -239,7 +241,9 @@ def assert_orders(streamlines, quiver, streamplot, separatrices, equilpoints): @pytest.mark.usefixtures('mplcleanup') def test_stream_plot_magnitude(): - sys = ct.rss(2, 1, 1) + def sys(t, x): + return np.array([4*x[1], -np.sin(4*x[0])]) + # plt context with linewidth with plt.rc_context({'lines.linewidth': 4}): res = ct.phase_plane_plot(sys, plot_streamplot=dict(vary_linewidth=True)) From 4ba37c8b79ba04f26ddb8727131cc66dd98afd86 Mon Sep 17 00:00:00 2001 From: Richard Murray Date: Fri, 14 Feb 2025 22:56:01 -0800 Subject: [PATCH 11/14] update examples to show streamplots --- examples/phase_plane_plots.py | 36 +++++++++++++++++++---------------- 1 file changed, 20 insertions(+), 16 deletions(-) diff --git a/examples/phase_plane_plots.py b/examples/phase_plane_plots.py index 950a96a4e..db989d5d9 100644 --- a/examples/phase_plane_plots.py +++ b/examples/phase_plane_plots.py @@ -15,6 +15,9 @@ import control as ct import control.phaseplot as pp +# Set default plotting parameters to match ControlPlot +plt.rcParams.update(ct.rcParams) + # # Example 1: Dampled oscillator systems # @@ -32,17 +35,17 @@ def damposc_update(t, x, u, params): fig.set_tight_layout(True) plt.suptitle("FBS Figure 5.3: damped oscillator") -ct.phase_plane_plot(damposc, [-1, 1, -1, 1], 8, ax=ax1, plot_streamlines=True) +ct.phase_plane_plot(damposc, [-1, 1, -1, 1], 8, ax=ax1) ax1.set_title("boxgrid [-1, 1, -1, 1], 8") ct.phase_plane_plot(damposc, [-1, 1, -1, 1], ax=ax2, plot_streamlines=True, gridtype='meshgrid') -ax2.set_title("meshgrid [-1, 1, -1, 1]") +ax2.set_title("streamlines, meshgrid [-1, 1, -1, 1]") ct.phase_plane_plot( damposc, [-1, 1, -1, 1], 4, ax=ax3, plot_streamlines=True, gridtype='circlegrid', dir='both') -ax3.set_title("circlegrid [0, 0, 1], 4, both") +ax3.set_title("streamlines, circlegrid [0, 0, 1], 4, both") ct.phase_plane_plot( damposc, [-1, 1, -1, 1], ax=ax4, gridtype='circlegrid', @@ -65,18 +68,18 @@ def invpend_update(t, x, u, params): plt.suptitle("FBS Figure 5.4: inverted pendulum") ct.phase_plane_plot( - invpend, [-2*pi, 2*pi, -2, 2], 5, ax=ax1, plot_streamlines=True) + invpend, [-2*pi, 2*pi, -2, 2], 5, ax=ax1) ax1.set_title("default, 5") ct.phase_plane_plot( invpend, [-2*pi, 2*pi, -2, 2], gridtype='meshgrid', ax=ax2, plot_streamlines=True) -ax2.set_title("meshgrid") +ax2.set_title("streamlines, meshgrid") ct.phase_plane_plot( invpend, [-2*pi, 2*pi, -2, 2], 1, gridtype='meshgrid', gridspec=[12, 9], ax=ax3, arrows=1, plot_streamlines=True) -ax3.set_title("denser grid") +ax3.set_title("streamlines, denser grid") ct.phase_plane_plot( invpend, [-2*pi, 2*pi, -2, 2], 4, gridspec=[6, 6], @@ -99,8 +102,7 @@ def oscillator_update(t, x, u, params): fig.set_tight_layout(True) plt.suptitle("FBS Figure 5.5: Nonlinear oscillator") -ct.phase_plane_plot(oscillator, [-1.5, 1.5, -1.5, 1.5], 3, ax=ax1, - plot_streamlines=True) +ct.phase_plane_plot(oscillator, [-1.5, 1.5, -1.5, 1.5], 3, ax=ax1) ax1.set_title("default, 3") ax1.set_aspect('equal') @@ -111,14 +113,14 @@ def oscillator_update(t, x, u, params): except RuntimeError as inst: ax2.text(0, 0, "Runtime Error") warnings.warn(inst.__str__()) -ax2.set_title("meshgrid, forward, 0.5") +ax2.set_title("streamlines, meshgrid, forward, 0.5") ax2.set_aspect('equal') ct.phase_plane_plot(oscillator, [-1.5, 1.5, -1.5, 1.5], ax=ax3, plot_streamlines=True) pp.streamlines( oscillator, [-0.5, 0.5, -0.5, 0.5], dir='both', ax=ax3) -ax3.set_title("outer + inner") +ax3.set_title("streamlines, outer + inner") ax3.set_aspect('equal') ct.phase_plane_plot( @@ -143,12 +145,13 @@ def saddle_update(t, x, u, params): fig.set_tight_layout(True) plt.suptitle("FBS Figure 5.9: Saddle") -ct.phase_plane_plot(saddle, [-1, 1, -1, 1], ax=ax1, plot_streamlines=True) +ct.phase_plane_plot(saddle, [-1, 1, -1, 1], ax=ax1) ax1.set_title("default") ct.phase_plane_plot( - saddle, [-1, 1, -1, 1], 0.5, gridtype='meshgrid', ax=ax2, plot_streamlines=True) -ax2.set_title("meshgrid") + saddle, [-1, 1, -1, 1], 0.5, plot_streamlines=True, gridtype='meshgrid', + ax=ax2) +ax2.set_title("streamlines, meshgrid") ct.phase_plane_plot( saddle, [-1, 1, -1, 1], gridspec=[16, 12], ax=ax3, @@ -158,7 +161,7 @@ def saddle_update(t, x, u, params): ct.phase_plane_plot( saddle, [-1, 1, -1, 1], 0.3, plot_streamlines=True, gridtype='meshgrid', gridspec=[5, 7], ax=ax4) -ax3.set_title("custom") +ax4.set_title("custom") # # Example 5: Internet congestion control @@ -178,6 +181,7 @@ def _congctrl_update(t, x, u, params): return np.append( c / x[M] - (rho * c) * (1 + (x[:-1]**2) / 2), N/M * np.sum(x[:-1]) * c / x[M] - c) + congctrl = ct.nlsys( _congctrl_update, states=2, inputs=0, params={'N': 60, 'rho': 2e-4, 'c': 10}) @@ -188,7 +192,7 @@ def _congctrl_update(t, x, u, params): try: ct.phase_plane_plot( - congctrl, [0, 10, 100, 500], 120, ax=ax1, plot_streamlines=True) + congctrl, [0, 10, 100, 500], 120, ax=ax1) except RuntimeError as inst: ax1.text(5, 250, "Runtime Error") warnings.warn(inst.__str__()) @@ -196,7 +200,7 @@ def _congctrl_update(t, x, u, params): try: ct.phase_plane_plot( - congctrl, [0, 10, 100, 500], 120, plot_streamlines=True, + congctrl, [0, 10, 100, 500], 120, params={'rho': 4e-4, 'c': 20}, ax=ax2) except RuntimeError as inst: ax2.text(5, 250, "Runtime Error") From 0e0b907d3021e0528cb6a746361229cfe8f0881d Mon Sep 17 00:00:00 2001 From: Richard Murray Date: Sat, 15 Feb 2025 22:06:20 -0800 Subject: [PATCH 12/14] update code style + docstrings to match standard usage --- control/phaseplot.py | 132 ++++++++++++++++++++++++++----------------- 1 file changed, 79 insertions(+), 53 deletions(-) diff --git a/control/phaseplot.py b/control/phaseplot.py index 531f07ce2..748f56987 100644 --- a/control/phaseplot.py +++ b/control/phaseplot.py @@ -45,6 +45,7 @@ 'phaseplot.separatrices_radius': 0.1 # initial radius for separatrices } + def phase_plane_plot( sys, pointdata=None, timedata=None, gridtype=None, gridspec=None, plot_streamlines=None, plot_vectorfield=None, plot_streamplot=None, @@ -131,17 +132,17 @@ def phase_plane_plot( 'both' to flow both forward and backward. The amount of time to simulate in each direction is given by the `timedata` argument. plot_streamlines : bool or dict, optional - If then plot streamlines based on the pointdata and gridtype. If set - to a dict, pass on the key-value pairs in the dict as keywords to - `streamlines`. + If True then plot streamlines based on the pointdata and gridtype. + If set to a dict, pass on the key-value pairs in the dict as + keywords to `streamlines`. plot_vectorfield : bool or dict, optional - If then plot the vector field based on the pointdata and gridtype. - If set to a dict, pass on the key-value pairs in the dict as keywords - to `phaseplot.vectorfield`. + If True then plot the vector field based on the pointdata and + gridtype. If set to a dict, pass on the key-value pairs in the + dict as keywords to `phaseplot.vectorfield`. plot_streamplot : bool or dict, optional - If then use :func:`matplotlib.axes.Axes.streamplot` function + If True then use `matplotlib.axes.Axes.streamplot` function to plot the streamlines. If set to a dict, pass on the key-value - pairs in the dict as keywords to :func:`~control.phaseplot.streamplot`. + pairs in the dict as keywords to `phaseplot.streamplot`. plot_equilpoints : bool or dict, optional If True (default) then plot equilibrium points based in the phase plot boundary. If set to a dict, pass on the key-value pairs in the @@ -158,6 +159,16 @@ def phase_plane_plot( title : str, optional Set the title of the plot. Defaults to plot type and system name(s). + Notes + ----- + The default method for producing streamlines is determined based on which + keywords are specified, with `plot_streamplot` serving as the generic + default. If any of the `arrows`, `arrow_size`, `arrow_style`, or `dir` + keywords are used and neither `plot_streamlines` nor `plot_streamplot` is + set, then `plot_streamlines` will be set to True. If neither + `plot_streamlines` nor `plot_vectorfield` set set to True, then + `plot_streamplot` will be set to True. + """ # Check for legacy usage of plot_streamlines streamline_keywords = [ @@ -174,11 +185,8 @@ def phase_plane_plot( "falling back to streamlines") plot_streamlines = True - if ( - plot_streamlines is None - and plot_vectorfield is None - and plot_streamplot is None - ): + if plot_streamlines is None and plot_vectorfield is None \ + and plot_streamplot is None: plot_streamplot = True if plot_streamplot and not plot_streamlines and not plot_vectorfield: @@ -219,9 +227,10 @@ def _create_kwargs(global_kwargs, local_kwargs, **other_kwargs): out[0] += streamlines( sys, pointdata, timedata, _check_kwargs=False, suppress_warnings=suppress_warnings, **kwargs_local) - + new_zorder = max(elem.get_zorder() for elem in out[0]) - flow_zorder = max(flow_zorder, new_zorder) if flow_zorder else new_zorder + flow_zorder = max(flow_zorder, new_zorder) if flow_zorder \ + else new_zorder # Get rid of keyword arguments handled by streamlines for kw in ['arrows', 'arrow_size', 'arrow_style', 'color', @@ -237,9 +246,10 @@ def _create_kwargs(global_kwargs, local_kwargs, **other_kwargs): kwargs, plot_vectorfield, gridspec=gridspec, ax=ax) out[1] = vectorfield( sys, pointdata, _check_kwargs=False, **kwargs_local) - + new_zorder = out[1].get_zorder() - flow_zorder = max(flow_zorder, new_zorder) if flow_zorder else new_zorder + flow_zorder = max(flow_zorder, new_zorder) if flow_zorder \ + else new_zorder # Get rid of keyword arguments handled by vectorfield for kw in ['color', 'params']: @@ -247,15 +257,17 @@ def _create_kwargs(global_kwargs, local_kwargs, **other_kwargs): if plot_streamplot: if gridtype not in [None, 'meshgrid']: - raise ValueError("gridtype must be 'meshgrid' when using streamplot") + raise ValueError( + "gridtype must be 'meshgrid' when using streamplot") kwargs_local = _create_kwargs( kwargs, plot_streamplot, gridspec=gridspec, ax=ax) out[3] = streamplot( sys, pointdata, _check_kwargs=False, **kwargs_local) - + new_zorder = max(out[3].lines.get_zorder(), out[3].arrows.get_zorder()) - flow_zorder = max(flow_zorder, new_zorder) if flow_zorder else new_zorder + flow_zorder = max(flow_zorder, new_zorder) if flow_zorder \ + else new_zorder # Get rid of keyword arguments handled by streamplot for kw in ['color', 'params']: @@ -269,8 +281,9 @@ def _create_kwargs(global_kwargs, local_kwargs, **other_kwargs): kwargs_local['zorder'] = kwargs_local.get('zorder', sep_zorder) out[0] += separatrices( sys, pointdata, _check_kwargs=False, **kwargs_local) - - sep_zorder = max(elem.get_zorder() for elem in out[0]) if out[0] else None + + sep_zorder = max(elem.get_zorder() for elem in out[0]) if out[0] \ + else None # Get rid of keyword arguments handled by separatrices for kw in ['arrows', 'arrow_size', 'arrow_style', 'params']: @@ -340,9 +353,6 @@ def vectorfield( dict with key 'args' and value given by a tuple (passed to callable). color : matplotlib color spec, optional Plot the vector field in the given color. - zorder : float, optional - Set the zorder for the separatrices. In not specified, it will be - automatically chosen by `matplotlib.axes.Axes.quiver`. ax : `matplotlib.axes.Axes`, optional Use the given axes for the plot, otherwise use the current axes. @@ -357,6 +367,9 @@ def vectorfield( Default is set by `config.defaults['ctrlplot.rcParams']`. suppress_warnings : bool, optional If set to True, suppress warning messages in generating trajectories. + zorder : float, optional + Set the zorder for the separatrices. In not specified, it will be + automatically chosen by `matplotlib.axes.Axes.quiver`. """ # Process keywords @@ -427,23 +440,14 @@ def streamplot( dict with key 'args' and value given by a tuple (passed to callable). color : matplotlib color spec, optional Plot the vector field in the given color. - vary_color : bool, optional - If set to True, vary the color of the streamlines based on the magnitude - vary_linewidth : bool, optional. - If set to True, vary the linewidth of the streamlines based on the magnitude. - cmap : str or Colormap, optional - Colormap to use for varying the color of the streamlines. - norm : `matplotlib.colors.Normalize`, optional - An instance of Normalize to use for scaling the colormap and linewidths. - zorder : float, optional - Set the zorder for the separatrices. In not specified, it will be - automatically chosen by `matplotlib.axes.Axes.streamplot`. ax : `matplotlib.axes.Axes`, optional Use the given axes for the plot, otherwise use the current axes. Returns ------- out : StreamplotSet + Containter object with lines and arrows contained in the + streamplot. See `matplotlib.axes.Axes.streamplot` for details. Other Parameters ---------------- @@ -452,6 +456,19 @@ def streamplot( Default is set by `config.default['ctrlplot.rcParams']`. suppress_warnings : bool, optional If set to True, suppress warning messages in generating trajectories. + vary_color : bool, optional + If set to True, vary the color of the streamlines based on the + magnitude of the vector field. + vary_linewidth : bool, optional. + If set to True, vary the linewidth of the streamlines based on the + magnitude of the vector field. + cmap : str or Colormap, optional + Colormap to use for varying the color of the streamlines. + norm : `matplotlib.colors.Normalize`, optional + Normalization map to use for scaling the colormap and linewidths. + zorder : float, optional + Set the zorder for the separatrices. In not specified, it will be + automatically chosen by `matplotlib.axes.Axes.streamplot`. """ # Process keywords @@ -466,7 +483,8 @@ def streamplot( # Determine the points on which to generate the streamplot field points, gridspec = _make_points(pointdata, gridspec, 'meshgrid') grid_arr_shape = gridspec[::-1] - xs, ys = points[:, 0].reshape(grid_arr_shape), points[:, 1].reshape(grid_arr_shape) + xs = points[:, 0].reshape(grid_arr_shape) + ys = points[:, 1].reshape(grid_arr_shape) # Create axis if needed if ax is None: @@ -484,25 +502,29 @@ def streamplot( # Generate phase plane (quiver) data sys._update_params(params) - us_flat, vs_flat = np.transpose([sys._rhs(0, x, np.zeros(sys.ninputs)) for x in points]) + us_flat, vs_flat = np.transpose( + [sys._rhs(0, x, np.zeros(sys.ninputs)) for x in points]) us, vs = us_flat.reshape(grid_arr_shape), vs_flat.reshape(grid_arr_shape) magnitudes = np.linalg.norm([us, vs], axis=0) norm = norm or mpl.colors.Normalize() normalized = norm(magnitudes) - cmap = plt.get_cmap(cmap) + cmap = plt.get_cmap(cmap) with plt.rc_context(rcParams): default_lw = plt.rcParams['lines.linewidth'] min_lw, max_lw = 0.25*default_lw, 2*default_lw - linewidths = normalized * (max_lw - min_lw) + min_lw if vary_linewidth else None + linewidths = normalized * (max_lw - min_lw) + min_lw \ + if vary_linewidth else None color = magnitudes if vary_color else color - out = ax.streamplot(xs, ys, us, vs, color=color, linewidth=linewidths, - cmap=cmap, norm=norm, zorder=zorder) + out = ax.streamplot( + xs, ys, us, vs, color=color, linewidth=linewidths, cmap=cmap, + norm=norm, zorder=zorder) return out + def streamlines( sys, pointdata, timedata=1, gridspec=None, gridtype=None, dir=None, zorder=None, ax=None, _check_kwargs=True, suppress_warnings=False, @@ -548,9 +570,6 @@ def streamlines( dict with key 'args' and value given by a tuple (passed to callable). color : str Plot the streamlines in the given color. - zorder : float, optional - Set the zorder for the separatrices. In not specified, it will be - automatically chosen by `matplotlib.axes.Axes.plot`. ax : `matplotlib.axes.Axes`, optional Use the given axes for the plot, otherwise use the current axes. @@ -574,6 +593,9 @@ def streamlines( Default is set by `config.defaults['ctrlplot.rcParams']`. suppress_warnings : bool, optional If set to True, suppress warning messages in generating trajectories. + zorder : float, optional + Set the zorder for the separatrices. In not specified, it will be + automatically chosen by `matplotlib.axes.Axes.plot`. """ # Process keywords @@ -672,9 +694,6 @@ def equilpoints( dict with key 'args' and value given by a tuple (passed to callable). color : str Plot the equilibrium points in the given color. - zorder : float, optional - Set the zorder for the separatrices. In not specified, it will be - automatically chosen by `matplotlib.axes.Axes.plot`. ax : `matplotlib.axes.Axes`, optional Use the given axes for the plot, otherwise use the current axes. @@ -687,6 +706,9 @@ def equilpoints( rcParams : dict Override the default parameters used for generating plots. Default is set by `config.defaults['ctrlplot.rcParams']`. + zorder : float, optional + Set the zorder for the separatrices. In not specified, it will be + automatically chosen by `matplotlib.axes.Axes.plot`. """ # Process keywords @@ -720,7 +742,8 @@ def equilpoints( out = [] for xeq in equilpts: with plt.rc_context(rcParams): - out += ax.plot(xeq[0], xeq[1], marker='o', color=color, zorder=zorder) + out += ax.plot( + xeq[0], xeq[1], marker='o', color=color, zorder=zorder) return out @@ -767,9 +790,6 @@ def separatrices( separatrices. If a tuple is given, the first element is used as the color specification for stable separatrices and the second element for unstable separatrices. - zorder : float, optional - Set the zorder for the separatrices. In not specified, it will be - automatically chosen by `matplotlib.axes.Axes.plot`. ax : `matplotlib.axes.Axes`, optional Use the given axes for the plot, otherwise use the current axes. @@ -784,6 +804,9 @@ def separatrices( Default is set by `config.defaults['ctrlplot.rcParams']`. suppress_warnings : bool, optional If set to True, suppress warning messages in generating trajectories. + zorder : float, optional + Set the zorder for the separatrices. In not specified, it will be + automatically chosen by `matplotlib.axes.Axes.plot`. Notes ----- @@ -884,7 +907,8 @@ def separatrices( if traj.shape[1] > 1: with plt.rc_context(rcParams): out += ax.plot( - traj[0], traj[1], color=color, linestyle=linestyle, zorder=zorder) + traj[0], traj[1], color=color, + linestyle=linestyle, zorder=zorder) # Add arrows to the lines at specified intervals with plt.rc_context(rcParams): @@ -984,6 +1008,7 @@ def circlegrid(centers, radius, num): theta in np.linspace(0, 2 * math.pi, num, endpoint=False)]) return grid + # # Internal utility functions # @@ -1004,6 +1029,7 @@ def _create_system(sys, params): return NonlinearIOSystem( _update, _output, states=2, inputs=0, outputs=0, name="_callable") + # Set axis limits for the plot def _set_axis_limits(ax, pointdata): # Get the current axis limits From c23a88dd8c9fb0a83b898cd65a7bdb0a3575fb6f Mon Sep 17 00:00:00 2001 From: Richard Murray Date: Sat, 15 Feb 2025 22:21:55 -0800 Subject: [PATCH 13/14] update documentation (and plots) --- control/phaseplot.py | 8 +++---- doc/figures/phaseplot-dampedosc-default.png | Bin 102937 -> 144610 bytes doc/figures/phaseplot-invpend-meshgrid.png | Bin 189739 -> 155352 bytes doc/figures/phaseplot-oscillator-helpers.png | Bin 76108 -> 76110 bytes doc/phaseplot.rst | 24 +++++++++---------- examples/plot_gallery.py | 1 - 6 files changed, 16 insertions(+), 17 deletions(-) diff --git a/control/phaseplot.py b/control/phaseplot.py index 748f56987..a5797c419 100644 --- a/control/phaseplot.py +++ b/control/phaseplot.py @@ -451,6 +451,10 @@ def streamplot( Other Parameters ---------------- + cmap : str or Colormap, optional + Colormap to use for varying the color of the streamlines. + norm : `matplotlib.colors.Normalize`, optional + Normalization map to use for scaling the colormap and linewidths. rcParams : dict Override the default parameters used for generating plots. Default is set by `config.default['ctrlplot.rcParams']`. @@ -462,10 +466,6 @@ def streamplot( vary_linewidth : bool, optional. If set to True, vary the linewidth of the streamlines based on the magnitude of the vector field. - cmap : str or Colormap, optional - Colormap to use for varying the color of the streamlines. - norm : `matplotlib.colors.Normalize`, optional - Normalization map to use for scaling the colormap and linewidths. zorder : float, optional Set the zorder for the separatrices. 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messages in generating trajectories. zorder : float, optional - Set the zorder for the separatrices. In not specified, it will be + Set the zorder for the vectorfield. In not specified, it will be automatically chosen by `matplotlib.axes.Axes.quiver`. """ @@ -467,7 +467,7 @@ def streamplot( If set to True, vary the linewidth of the streamlines based on the magnitude of the vector field. zorder : float, optional - Set the zorder for the separatrices. In not specified, it will be + Set the zorder for the streamlines. In not specified, it will be automatically chosen by `matplotlib.axes.Axes.streamplot`. """ @@ -594,7 +594,7 @@ def streamlines( suppress_warnings : bool, optional If set to True, suppress warning messages in generating trajectories. zorder : float, optional - Set the zorder for the separatrices. In not specified, it will be + Set the zorder for the streamlines. In not specified, it will be automatically chosen by `matplotlib.axes.Axes.plot`. """ @@ -707,8 +707,8 @@ def equilpoints( Override the default parameters used for generating plots. Default is set by `config.defaults['ctrlplot.rcParams']`. zorder : float, optional - Set the zorder for the separatrices. In not specified, it will be - automatically chosen by `matplotlib.axes.Axes.plot`. + Set the zorder for the equilibrium points. In not specified, it will + be automatically chosen by `matplotlib.axes.Axes.plot`. """ # Process keywords pFad - Phonifier reborn

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