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gmaviz.py

GeometricMechanicsViz 

GeometricMechanicsViz(*args, **kwargs)


              flowchart TD
              erosionfront.visualization.gmaviz.GeometricMechanicsViz[GeometricMechanicsViz]
              erosionfront.visualization.base.GraphingBase[GraphingBase]

                              erosionfront.visualization.base.GraphingBase --> erosionfront.visualization.gmaviz.GeometricMechanicsViz
                


              click erosionfront.visualization.gmaviz.GeometricMechanicsViz href "" "erosionfront.visualization.gmaviz.GeometricMechanicsViz"
              click erosionfront.visualization.base.GraphingBase href "" "erosionfront.visualization.base.GraphingBase"

XXXX

Parameters

XXX

Attributes

TBD

Returns

XXX

Subclasses GraphingBase.

Parameters:

  • kwargs

    –

    arguments to pass to constructor

Methods:

Source code in erosionfront/visualization/gmaviz.py 
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def __init__(
        self, 
        *args, 
        **kwargs,
    ) -> None:
    """
    2D visualization class.

    Subclasses `GraphingBase`.

    Arguments:
        kwargs:
            arguments to pass to constructor
    """
    self.props = {
        "βt_color" : "orange", #"magenta","violet"
        "βt_marker" : "o",
        "βc0_color" : "magenta", #"magenta","violet"
        "βc0_marker" : "v",
        "βc1_color" : "darkorchid", #"darkorchid",
        "βc1_marker" : "^",
        "βrs0_color" : "magenta", #"magenta","violet"
        "βrs0_marker" : "h",
        "βrs1_color" : "darkorchid", #"darkorchid",
        "βrs1_marker" : "H",
        "βmpx_color" : "g",
        "βmpx_marker" : "*",
        "cvx0_color" : "black",  #"blue",
        "cvx1_color" : "0.4", #"midnightblue",
        "ccv_color" : "crimson",
    }
    super().__init__(*args, **kwargs)

create_figure 

create_figure(
    fig_name: str, fig_size: tuple[float, float] | None = None, dpi: int | None = None
) -> Figure

Initialize a :mod:Pyplot <matplotlib.pyplot> figure.

Set its size and dpi, set the font size, choose the Arial font family if possible, and append it to the figures dictionary.

Parameters

fig_name: name of figure; used as key in figures dictionary fig_size: optional width and height of figure in inches dpi: rasterization resolution

Returns

:obj:Pyplot figure <matplotlib.figure.Figure>: reference to :mod:MatPlotLib/Pyplot <matplotlib.pyplot> figure

Source code in erosionfront/visualization/base.py 
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def create_figure(
    self,
    fig_name: str,
    fig_size: tuple[float, float] | None = None,
    dpi: int | None = None,
) -> Figure:
    """
    Initialize a :mod:`Pyplot <matplotlib.pyplot>` figure.

    Set its size and dpi, set the font size,
    choose the Arial font family if possible,
    and append it to the figures dictionary.

    Parameters
    ----------
    fig_name:
        name of figure; used as key in figures dictionary
    fig_size:
        optional width and height of figure in inches
    dpi:
        rasterization resolution

    Returns
    -------
    :obj:`Pyplot figure <matplotlib.figure.Figure>`:
        reference to :mod:`MatPlotLib/Pyplot <matplotlib.pyplot>`
        figure
    """
    fig_size_: tuple[float, float] = (
        (8, 8) if fig_size is None else fig_size
    )
    dpi_: float = self.dpi if dpi is None else dpi
    logging.info(
        "gmplib.plot.GraphingBase:\n   "
        + f"Creating plot: {fig_name} size={fig_size_} @ {dpi_} dpi"
    )
    fig = plt.figure()
    self.fdict.update({fig_name: fig})
    fig.set_size_inches(fig_size_)
    fig.set_dpi(dpi_)
    return fig

get_aspect 

get_aspect(axes: Axes) -> float

Get aspect ratio of graph.

Parameters

axes: the axes object of the figure

Returns

float: aspect ratio

Source code in erosionfront/visualization/base.py 
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def get_aspect(self, axes: plt.Axes) -> float:
    """
    Get aspect ratio of graph.

    Parameters
    ----------
    axes:
        the `axes` object of the figure

    Returns
    -------
    float:
        aspect ratio
    """
    # Total figure size
    figWH: tuple[float, float] \
        = axes.get_figure().get_size_inches() #type: ignore
    figW, figH = figWH
    # Axis size on figure
    bounds: tuple[float, float, float, float] = axes.get_position().bounds
    _, _, w, h = bounds
    # Ratio of display units
    disp_ratio: float = (figH * h) / (figW * w)
    # Ratio of data units
    # Negative over negative because of the order of subtraction
    # logging.info(axes.get_ylim(),axes.get_xlim())
    data_ratio: float = op.sub(*axes.get_ylim()) / op.sub(*axes.get_xlim())
    aspect_ratio: float = disp_ratio / data_ratio
    return aspect_ratio

get_fonts 

get_fonts() -> list[str]

Fetch the names of all the font families available on the system.

Source code in erosionfront/visualization/base.py 
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def get_fonts(self) -> list[str]:
    """Fetch the names of all the font families available on the system."""
    fpaths = matplotlib.font_manager.findSystemFonts()
    fonts: list[str] = []
    for fpath in fpaths:
        try:
            font = matplotlib.font_manager.get_font(fpath).family_name
            fonts.append(font)
        except RuntimeError as re:
            logging.debug(f"{re}: failed to get font name for {fpath}")
            pass
    return fonts

naturalize 

naturalize(fig: Figure) -> None

Adjust graph aspect ratio into 'natural' ratio.

Source code in erosionfront/visualization/base.py 
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def naturalize(self, fig: Figure) -> None:
    """Adjust graph aspect ratio into 'natural' ratio."""
    axes: plt.Axes = fig.gca()
    # x_lim, y_lim = axes.get_xlim(), axes.get_ylim()
    # axes.set_aspect((y_lim[1]-y_lim[0])/(x_lim[1]-x_lim[0]))
    axes.set_aspect(1 / self.get_aspect(axes))

plot_model_Hamiltonian_grid 

plot_model_Hamiltonian_grid(
    fig_name: str,
    model: Isotropic | Step | ExponentialActivation,
    gma: GeometricMechanicsAnalysis,
    title_font_size: int = 12,
    fig_size: tuple[float, float] = (5, 6),
) -> None

Image Hamiltonian H and plot H=½ figuratrix on p_x, p_z grid.

Parameters

fig_name: str model: Any title_font_size: int=12 fig_size: tuple[float, float]=(5, 6,)

Attributes

Uses create_figure (adds to fig dict), props.

Source code in erosionfront/visualization/gmaviz.py 
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def plot_model_Hamiltonian_grid(
        self,
        fig_name: str,
        model: Isotropic | Step | ExponentialActivation,
        gma: GeometricMechanicsAnalysis,
        title_font_size: int=12,
        fig_size: tuple[float, float]=(5, 6,),
    ) -> None:
    """
    Image Hamiltonian H and plot H=1/2 figuratrix on p_x, p_z grid.

    Parameters
    ----------
    fig_name: str
    model: Any
    title_font_size: int=12
    fig_size: tuple[float, float]=(5, 6,)

    Attributes
    ----------
    Uses create_figure (adds to fig dict), props.
    """
    self.create_figure(fig_name, fig_size=fig_size,)
    plt.title(
        self.make_title(
            model, 
            r"Hamiltonian  \mathcal{H}(p_x,p_z)",
            gma,
        ),
        fontdict={"fontsize": title_font_size,},
    )
    plt.xlabel(r"$p_x$")
    plt.ylabel(r"$p_z$")
    H_interp_grid_clipped: NDArray = np.clip(gma.H_interp_grid, 0, 1,)
    H_interp_grid_clipped[0,0] = 0  # force cbar range to include zero
    H_interp_grid_clipped[-1,-1] = 1  # force cbar range to include one
    extent_: tuple[float,float,float,float] = (*gma.px_span, *gma.pz_span)
    plt.imshow(
        (np.flipud(H_interp_grid_clipped.T)), 
        extent=extent_, 
        alpha=0.5,
        cmap="bwr_r",
    )
    ticks: tuple = (0, 0.5, 1,)
    grid_aspect_ratio: float = (
        H_interp_grid_clipped.T.shape[0]/H_interp_grid_clipped.T.shape[1]
    )
    shrink: float = (
        0.4 if grid_aspect_ratio>0.4
        else grid_aspect_ratio
    )        
    cbar: Colorbar = plt.colorbar(
        shrink=shrink, 
        pad=0.05, 
        aspect=10,
        ticks=ticks,
    )
    cbar.set_label(r"$\mathcal{H}$  [-]", size=12,)
    # cbar.ax.tick_params(labelsize=9)
    # plt.contour(
    #     model.H_interp_grid.T, 
    #     extent=extent_, 
    #     levels=[0.5],
    #     linewidths=[2],
    #     colors=["k"],
    #     linestyles=[":"],
    # )
    plt.plot(
        gma.px,
        gma.pz, 
        color="k", 
        lw=1,
        label=r"on-shell $\mathcal{H}=\frac{1}{2}$",
    )
    plt.legend(loc=(1.08, 0.8,))
    axes = plt.gca()
    axes.set_aspect(1)
    plt.grid(ls=":")

plot_model_Hamiltonian_onshell 

plot_model_Hamiltonian_onshell(
    fig_name: str,
    model: Isotropic | Step | ExponentialActivation,
    gma: GeometricMechanicsAnalysis,
    title_font_size: int = 12,
    fig_size: tuple[float, float] = (6, 2),
) -> None

Plot on-shell Hamiltonian H(β), which should be H=½ everywhere.

Parameters

fig_name: str model: Any title_font_size: int=12 fig_size: tuple[float,float]=(6, 2,)

Attributes

Uses create_figure (adds to fig dict).

Source code in erosionfront/visualization/gmaviz.py 
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def plot_model_Hamiltonian_onshell(
        self,
        fig_name: str,
        model: Isotropic | Step | ExponentialActivation,
        gma: GeometricMechanicsAnalysis,
        title_font_size: int=12,
        fig_size: tuple[float,float]=(6, 2,),
    ) -> None:
    """
    Plot on-shell Hamiltonian H(β), which should be H=1/2 everywhere.

    Parameters
    ----------
    fig_name: str
    model: Any
    title_font_size: int=12
    fig_size: tuple[float,float]=(6, 2,)

    Attributes
    ----------
    Uses create_figure (adds to fig dict).
    """
    self.create_figure(fig_name, fig_size=fig_size,)
    plt.title(
        self.make_title(
            model,
            r"Hamiltonian at erosion surface  \mathcal{H}(\beta)",
            gma,
        ),
        fontdict={"fontsize": title_font_size,},
    )
    plt.ylabel(r"$\mathcal{H}$  [-]")
    plt.xlabel(r"$\beta$  [$\degree$]")
    β: NDArray = np.linspace(-0.,np.pi/1,101)
    px: NDArray = np.array(gma.px_onshell(β))
    pz: NDArray = np.array(gma.pz_onshell(β))
    plt.plot(np.rad2deg(β), gma.Hamiltonian(px, pz))
    plt.ylim(0,1)
    plt.xlim(0,180)
    plt.grid(ls=":")

plot_model_detgstar_grid 

plot_model_detgstar_grid(
    fig_name: str,
    model: Isotropic | Step | ExponentialActivation,
    gma: GeometricMechanicsAnalysis,
    title_font_size: int = 12,
    fig_size: tuple[float, float] = (5, 6),
) -> None

Image |g_*| on p_x, p_z grid plus H=½ contour, critical β angles.

Parameters

fig_name: str model: Any title_font_size: int=12 fig_size: tuple[float, float]=(5, 6,)

Attributes

Uses create_figure (adds to fig dict), props.

Source code in erosionfront/visualization/gmaviz.py 
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def plot_model_detgstar_grid(
        self,
        fig_name: str,
        model: Isotropic | Step | ExponentialActivation,
        gma: GeometricMechanicsAnalysis,
        title_font_size: int=12,
        fig_size: tuple[float, float]=(5, 6,),
    ) -> None:
    """
    Image |g_*| on p_x, p_z grid plus H=1/2 contour, critical β angles.

    Parameters
    ----------
    fig_name: str
    model: Any
    title_font_size: int=12
    fig_size: tuple[float, float]=(5, 6,)

    Attributes
    ----------
    Uses create_figure (adds to fig dict), props.
    """
    fig = self.create_figure(fig_name, fig_size=fig_size,)
    # plt.title(r"Determinant of dual metric tensor  $\det{g_*}$",
    plt.title(
        self.make_title(
            model, 
            r"Convexity \det{g_*} & figuratrix ||\mathbf{p}||_{g*}=1",
            gma,
        ), 
        fontdict={"fontsize": title_font_size,},
    )
    plt.xlabel(r"$p_x$")
    plt.ylabel(r"$p_z$")
    extent_: tuple[float,float,float,float] = (*gma.px_span, *gma.pz_span)
    sf: float = 1/np.max(gma.det_gstar_grid)
    grid: NDArray = np.clip(gma.det_gstar_interp_grid*sf, -1,1)
    image = plt.imshow(
        (np.flipud(grid.T)), 
        extent=extent_, 
        alpha=0.5,
        cmap="bwr_r",
        norm=CenteredNorm(),
    )

    β_c0: float = 0 if gma.β_c0 is None else gma.β_c0
    β_c1: float = 0 if gma.β_c1 is None else gma.β_c1
    β_mpx: float = 0 if gma.β_mpx is None else gma.β_mpx
    β_rs0: float = 0 if gma.β_rs0 is None else gma.β_rs0
    β_rs1: float = 0 if gma.β_rs1 is None else gma.β_rs1

    # plt.contour(det_gstar, extent=extent_, levels=[0])
    # plt.contour(H_interp_grid.T, extent=extent_, levels=[0.5])
    β: NDArray = gma.β
    plt.plot(
        gma.px[β<=β_c0],
        gma.pz[β<=β_c0], 
        color=self.props["cvx0_color"], 
        lw=1.5,
        label=r"$\mathcal{H}=\frac{1}{2}$  (convex)",
    )
    plt.plot(
        gma.px[(β>=β_c0) & (β<=β_c1)],
        gma.pz[(β>=β_c0) & (β<=β_c1)], 
        color=self.props["ccv_color"], 
        lw=1,
        label=r"$\mathcal{H}=\frac{1}{2}$  (concave)",
    )
    plt.plot(
        gma.px[β>=β_c1],
        gma.pz[β>=β_c1], 
        color=self.props["cvx1_color"], 
        lw=1,
        # label=r"$\mathcal{H}=\frac{1}{2}$",
    )

    x_: float
    y_: float
    color_: str
    marker_: str
    x_fn: Callable = gma.px_onshell
    y_fn: Callable = gma.pz_onshell
    for (x_, y_, color_, marker_, label_,)  in list(zip(
            (
                x_fn(β_rs1), 
                x_fn(β_mpx), 
                x_fn(β_c0), 
                x_fn(β_c1),
                x_fn(β_rs0), 
             ),
            (
                y_fn(β_rs1),
                y_fn(β_mpx),
                y_fn(β_c0),
                y_fn(β_c1),
                y_fn(β_rs0),
             ),
            (
                self.props["βrs1_color"], 
                self.props["βmpx_color"], 
                self.props["βc0_color"], 
                self.props["βc1_color"],
                self.props["βrs0_color"],
             ),
            (
                self.props["βrs1_marker"], 
                self.props["βmpx_marker"], 
                self.props["βc0_marker"], 
                self.props["βc1_marker"],
                self.props["βrs0_marker"],
             ),
            (
                r"transition $\beta_\mathrm{rs1} = $"
                    +rf"{np.rad2deg(β_rs1):3.1f}$\degree$",
                r"max $p_x$ @ $\beta_\mathrm{mpx} = $"
                    +rf"{np.rad2deg(β_mpx):3.1f}$\degree$",
                r"$\det{g_*}=0$  @  $\beta_{\mathrm{c0}} = $" 
                    + rf"{np.rad2deg(β_c0):3.1f}$\degree$",
                r"$\det{g_*}=0$  @  $\beta_{\mathrm{c1}} = $"
                    + rf"{np.rad2deg(β_c1):3.1f}$\degree$",
                r"transition $\beta_\mathrm{rs0} = $"
                    +rf"{np.rad2deg(β_rs0):3.1f}$\degree$",
             ),
        ))[::-1]:
        plt.scatter(
            x_, 
            y_,
            marker=marker_,
            color=color_,
            s=50 if marker_=="*" else 25,
            alpha=0.75 if marker_=="*" else 1,
            label=label_,
            zorder=10,
        )

    plt.legend(loc=(1.07,0.67), fontsize=9, borderpad=0.3,)

    axes = plt.gca()
    # axins = inset_axes(
    #     axes,
    #     width="7%",  # width: 5% of parent_bbox width
    #     height="40%",  # height: 50%
    #     loc="lower left",
    #     bbox_to_anchor=(550,-50,350,800),
    #     # bbox_to_anchor=(1,-0.2,1.5,1),
    #     # bbox_transform=axes.transAxes,
    #     borderpad=10,
    # )
    # fig.colorbar(image, cax=axins)
    grid_aspect_ratio: float = (
        grid.T.shape[0]/grid.T.shape[1]
    )
    shrink: float = (
        0.3 if grid_aspect_ratio>0.3
        else grid_aspect_ratio
    )     
    cbar: Colorbar = plt.colorbar(
        image,
        # cax=axins,
        shrink=shrink, 
        pad=0.05, 
        aspect=10,
        location="right",
    )
    cbar.set_label(
        r"modified $\det{g_*}$", 
        size=10,
    )
    cbar.ax.tick_params(labelsize=9)

    axes.set_aspect(1)
    plt.grid(ls=":")

plot_model_detgstar_onshell 

plot_model_detgstar_onshell(
    fig_name: str,
    model: Isotropic | Step | ExponentialActivation,
    gma: GeometricMechanicsAnalysis,
    title_font_size: int = 12,
    fig_size: tuple[float, float] = (6, 3),
) -> None

Plot |g_*| vs β colorized by convex or concave; also critical β values.

Parameters

fig_name: str model: Any title_font_size: int=12 fig_size: tuple[float, float]=(6, 3,)

Attributes

Uses create_figure (adds to fig dict), props.

Source code in erosionfront/visualization/gmaviz.py 
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def plot_model_detgstar_onshell(
        self,
        fig_name: str,
        model: Isotropic | Step | ExponentialActivation,
        gma: GeometricMechanicsAnalysis,
        title_font_size: int=12,
        fig_size: tuple[float, float]=(6, 3,),
    ) -> None:
    """
    Plot |g_*| vs β colorized by convex or concave; also critical β values.

    Parameters
    ----------
    fig_name: str
    model: Any
    title_font_size: int=12
    fig_size: tuple[float, float]=(6, 3,)

    Attributes
    ----------
    Uses create_figure (adds to fig dict), props.
    """
    self.create_figure(fig_name, fig_size=fig_size,)
    plt.title(
        self.make_title(
            model, 
            r"Dual metric tensor determinant  "
        +r"\det{g_{*}(\beta)} \,\,|\,\, \mathcal{H}(\beta)=\frac{1}{2}",
            gma,
        ),
        fontdict={"fontsize": title_font_size,},
    )
    plt.xlabel(r"$\beta$  [$\degree$]")
    plt.ylabel(r"normalized  $\det{g_*}$")

    β: NDArray = gma.β
    pos_l: NDArray = np.s_[(β<gma.β_c0)]
    pos_r: NDArray = np.s_[(β>gma.β_c1)]
    # zero = np.s_[np.abs(det_gstar_onshell)<approx_zero]
    neg : NDArray= np.s_[(β>gma.β_c0) & (β<gma.β_c1)]
    sf: float = 1/np.max(gma.det_gstar_onshell)
    plt.plot(
        np.rad2deg(β[pos_l][3:]), 
        gma.det_gstar_onshell_interpfn(β[pos_l][3:])*sf,
        color=self.props["cvx0_color"],
        label=r"convex $\mathcal{H}$"
    )
    plt.plot(
        np.rad2deg(β[neg]), 
        gma.det_gstar_onshell_interpfn(β[neg])*sf,
        color=self.props["ccv_color"],
        label=r"concave $\mathcal{H}$"
    )
    plt.plot(
        np.rad2deg(β[pos_r][:-10]), 
        gma.det_gstar_onshell_interpfn(β[pos_r][:-10])*sf,
        color=self.props["cvx1_color"],
    )

    β_c0: float = 0 if gma.β_c0 is None else gma.β_c0
    β_c1: float = 0 if gma.β_c1 is None else gma.β_c1
    β_mpx: float = 0 if gma.β_mpx is None else gma.β_mpx

    x_: float
    y_: float
    color_: str
    marker_: str
    label_: str
    x_fn: Callable = np.rad2deg
    y_fn: Callable = lambda y: gma.det_gstar_onshell_interpfn(y)*sf
    for (x_, y_, color_, marker_, label_,)  in zip(
            (x_fn(β_mpx), 
             x_fn(β_c0), 
             x_fn(β_c1),),
            (y_fn(β_mpx),
             y_fn(β_c0),
             y_fn(β_c1),),
            (self.props["βmpx_color"], 
             self.props["βc0_color"], 
             self.props["βc1_color"],),
            (self.props["βmpx_marker"], 
             self.props["βc0_marker"], 
             self.props["βc1_marker"],),
            (r"max $p_x$ @ $\beta_\mathrm{mpx}=$"
                +rf"{np.rad2deg(β_mpx):3.1f}$\degree$",
             r"$\det{g_*}=0$  @  $\beta_{\mathrm{c0}} = $" 
             + rf"{np.rad2deg(β_c0):3.1f}$\degree$",
             r"$\det{g_*}=0$  @  $\beta_{\mathrm{c1}} = $"
              + rf"{np.rad2deg(β_c1):3.1f}$\degree$",),
        ):
        plt.scatter(
            x_, 
            y_,
            marker=marker_,
            color=color_,
            s=50 if marker_=="*" else 25,
            alpha=0.75 if marker_=="*" else 1,
            label=label_,
            zorder=10,
        )

    plt.legend(fontsize=9)
    plt.grid(ls=":")

plot_model_pdotv 

plot_model_pdotv(
    fig_name: str,
    model: Isotropic | Step | ExponentialActivation,
    gma: GeometricMechanicsAnalysis,
    title_font_size: int = 12,
    fig_size: tuple[float, float] = (6, 2.5),
) -> None

Plot p(v) aka p dot v vs β, which for conjugacy should be =1.

Parameters

fig_name: str model: Any title_font_size: int=12 fig_size: tuple[float, float]=(6, 2.5,)

Attributes

Uses create_figure (adds to fig dict), props.

Source code in erosionfront/visualization/gmaviz.py 
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def plot_model_pdotv(
        self,
        fig_name: str,
        model: Isotropic | Step | ExponentialActivation,
        gma: GeometricMechanicsAnalysis,
        title_font_size: int=12,
        fig_size: tuple[float, float]=(6, 2.5,),
    ) -> None:
    """
    Plot p(v) aka p dot v vs β, which for conjugacy should be =1.

    Parameters
    ----------
    fig_name: str
    model: Any
    title_font_size: int=12
    fig_size: tuple[float, float]=(6, 2.5,)

    Attributes
    ----------
    Uses create_figure (adds to fig dict), props.
    """
    self.create_figure(fig_name, fig_size=fig_size,)
    plt.title(
        self.make_title(
            model, 
            r"Conjugacy of slowness covector {p} "
                        + r"and ray velocity {v}",
            gma,
        ),
        fontdict={"fontsize": title_font_size,},
    )
    plt.ylabel(r"$\mathbf{p}\mathbf{\cdot}\mathbf{v}$  [-]")
    plt.xlabel(r"$\beta$  [$\degree$]")
    plt.plot(np.rad2deg(gma.β), gma.p_dot_v())
    # plt.legend(fontsize=10)
    plt.ylim(0,2)
    plt.xlim(0,180)
    plt.grid(ls=":")

plot_model_pxpz 

plot_model_pxpz(
    fig_name: str,
    model: Isotropic | Step | ExponentialActivation,
    gma: GeometricMechanicsAnalysis,
    n_pts: int = 301,
    do_pz: bool = False,
    title_font_size: int = 12,
    fig_size: tuple[float, float] = (6, 2.5),
) -> None

Plot erosion model slowness components p_x, p_z vs β.

Parameters

fig_name: str model: Any n_pts: int=301 do_pz: bool=False title_font_size: int=12 fig_size: tuple[float, float]=(6, 2.5,)

Attributes

Uses create_figure (adds to fig dict), props.

Source code in erosionfront/visualization/gmaviz.py 
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def plot_model_pxpz(
        self,
        fig_name: str,
        model: Isotropic | Step | ExponentialActivation,
        gma: GeometricMechanicsAnalysis,
        n_pts: int=301,
        do_pz: bool=False,
        title_font_size: int=12,
        fig_size: tuple[float, float]=(6, 2.5,),
    ) -> None:
    """
    Plot erosion model slowness components p_x, p_z vs β.

    Parameters
    ----------
    fig_name: str
    model: Any
    n_pts: int=301
    do_pz: bool=False
    title_font_size: int=12
    fig_size: tuple[float, float]=(6, 2.5,)

    Attributes
    ----------
    Uses create_figure (adds to fig dict), props.
    """
    self.create_figure(fig_name, fig_size=fig_size,)
    p_component: str = (
        r"p_z" if do_pz else r"p_x"
    )
    plt.title(
        self.make_title(
            model, f"Normal slowness component  {p_component}", gma,
        ),
        fontdict={"fontsize": title_font_size,},
    )
    y_label: str = (
        r"$p_z$  [-]" if do_pz else r"$p_x$  [-]"
    )
    plt.ylabel(y_label)
    plt.xlabel(r"$\beta$  [$\degree$]")
    x_fn: Callable = np.rad2deg
    y_fn: Callable[[float | NDArray], float | NDArray] = (
        gma.pz_onshell if do_pz
        else gma.px_onshell
    )

    β_c0: float = 0 if gma.β_c0 is None else gma.β_c0
    β_c1: float = 0 if gma.β_c1 is None else gma.β_c1
    β_mpx: float = 0 if gma.β_mpx is None else gma.β_mpx
    β_rs0: float = 0 if gma.β_rs0 is None else gma.β_rs0
    β_rs1: float = 0 if gma.β_rs1 is None else gma.β_rs1

    # Plot main curve as three different-color segments
    β: NDArray = np.linspace(0, np.pi, n_pts, endpoint=True,)
    plt.plot(
        x_fn(β[β<=β_c0]), 
        y_fn(β[β<=β_c0]),
        self.props["cvx0_color"], 
        lw=1.5,
    )
    plt.plot(
        x_fn(β[(β>=β_c0) & (β<=β_c1)]), 
        y_fn(β[(β>=β_c0) & (β<=β_c1)]), 
        self.props["ccv_color"], 
        lw=1.5,
    )
    plt.plot(
        x_fn(β[β>β_c1]), 
        y_fn(β[β>β_c1]), 
        self.props["cvx1_color"], 
        lw=1.5,
    )

    x_: float | NDArray
    y_: float | NDArray
    color_: str
    marker_: str
    for (x_, y_, color_, marker_, label_,)  in list(zip(
            (
                x_fn(β_rs1), 
                x_fn(β_mpx), 
                x_fn(β_c0), 
                x_fn(β_c1), 
                x_fn(β_rs0),
             ),
            (
                y_fn(β_rs1),
                y_fn(β_mpx),
                y_fn(β_c0),
                y_fn(β_c1),
                y_fn(β_rs0),
             ),
            (
                self.props["βrs1_color"], 
                self.props["βmpx_color"], 
                self.props["βc0_color"], 
                self.props["βc1_color"], 
                self.props["βrs0_color"],
             ),
            (
                self.props["βrs1_marker"], 
                self.props["βmpx_marker"], 
                self.props["βc0_marker"], 
                self.props["βc1_marker"], 
                self.props["βrs0_marker"],
             ),
            (
                r"transition $\beta_\mathrm{rs1} = $"
                    +rf"{np.rad2deg(β_rs1):3.1f}$\degree$",
                r"max $p_x$ @ $\beta_\mathrm{mpx} = $"
                    +rf"{np.rad2deg(β_mpx):3.1f}$\degree$",
                r"$\det{g_*}=0$  @  $\beta_{\mathrm{c0}} = $" 
                    + rf"{np.rad2deg(β_c0):3.1f}$\degree$",
                r"$\det{g_*}=0$  @  $\beta_{\mathrm{c1}} = $"
                    + rf"{np.rad2deg(β_c1):3.1f}$\degree$",
                r"transition $\beta_\mathrm{rs0} = $"
                    +rf"{np.rad2deg(β_rs0):3.1f}$\degree$",
              ),
        ))[::-1]:
        plt.scatter(
            x_, 
            y_,
            marker=marker_,
            color=color_,
            s=50 if marker_=="*" else 25,
            alpha=0.75 if marker_=="*" else 1,
            label=label_,
            zorder=10,
        )

    plt.legend(fontsize=8,)
    plt.grid(ls=":")
    plt.xlim(0,180)

plot_model_α_β 

plot_model_α_β(
    fig_name: str,
    model: Isotropic | Step | ExponentialActivation,
    gma: GeometricMechanicsAnalysis,
    title_font_size: int = 12,
    fig_size: tuple[float, float] = (5, 5),
) -> None

Plot ray angle α(β) annotated by critical angles, concave/convex colors.

Parameters

fig_name: str model: Any title_font_size: int=12 fig_size: tuple[float, float]=(5, 5,)

Attributes

Uses create_figure (adds to fig dict), props.

Source code in erosionfront/visualization/gmaviz.py 
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def plot_model_α_β(
        self,
        fig_name: str,
        model: Isotropic | Step | ExponentialActivation,
        gma: GeometricMechanicsAnalysis,
        title_font_size: int=12,
        fig_size: tuple[float, float]=(5, 5,),
    ) -> None:
    """
    Plot ray angle α(β) annotated by critical angles, concave/convex colors.

    Parameters
    ----------
    fig_name: str
    model: Any
    title_font_size: int=12
    fig_size: tuple[float, float]=(5, 5,)

    Attributes
    ----------
    Uses create_figure (adds to fig dict), props.
    """
    self.create_figure(fig_name, fig_size=fig_size,)
    plt.title(
        self.make_title(
            model, 
            r"Ray angle \alpha versus slope angle \beta",
            gma,
        ),
        fontdict={"fontsize": title_font_size,},
    )
    plt.ylabel(r"$\alpha$  [$\degree$]")
    plt.xlabel(r"$\beta$  [$\degree$]")

    β: NDArray = gma.β
    α: NDArray = gma.α_onshell_interpfn(β)
    β_c0: float = 0 if gma.β_c0 is None else gma.β_c0
    β_c1: float = 0 if gma.β_c1 is None else gma.β_c1
    beta: NDArray = np.rad2deg(β)
    alpha: NDArray = np.rad2deg(α)
    plt.plot(beta[β<β_c0], alpha[β<β_c0], self.props["cvx0_color"], lw=1.5,)
    plt.plot(
        beta[(β>=β_c0) & (β<=β_c1)], 
        α[(β>=β_c0) & (β<=β_c1)], 
        self.props["ccv_color"], lw=1.5,
    )
    plt.plot(beta[β>β_c1], α[β>β_c1], self.props["cvx1_color"], lw=1.5,)

    β_mpx: float = 0 if gma.β_mpx is None else gma.β_mpx
    x_: float
    y_: float
    color_: str
    marker_: str
    label_: str
    x_fn: Callable = np.rad2deg
    y_fn: Callable = lambda y: np.rad2deg(gma.α_onshell_interpfn(y))
    for (x_, y_, color_, marker_, label_,)  in zip(
            (x_fn(β_mpx), 
             x_fn(β_c0), 
             x_fn(β_c1),),
            (y_fn(β_mpx),
             y_fn(β_c0),
             y_fn(β_c1),),
            (self.props["βmpx_color"], 
             self.props["βc0_color"], 
             self.props["βc1_color"],),
            (self.props["βmpx_marker"], 
             self.props["βc0_marker"], 
             self.props["βc1_marker"],),
            (r"max $p_x$ @ $\beta_\mathrm{mpx} = $"
                +rf"{np.rad2deg(β_mpx):3.1f}$\degree$",
             r"$\det{g_*}=0$  @  $\beta_{\mathrm{c0}} = $" 
             + rf"{np.rad2deg(β_c0):3.1f}$\degree$",
             r"$\det{g_*}=0$  @  $\beta_{\mathrm{c1}} = $"
              + rf"{np.rad2deg(β_c1):3.1f}$\degree$",),
        ):
        plt.scatter(
            x_, 
            y_,
            marker=marker_,
            color=color_,
            s=50 if marker_=="*" else 25,
            alpha=0.75 if marker_=="*" else 1,
            label=label_,
            zorder=10,
        )

    axes = plt.gca()
    axes.set_aspect(1)
    plt.legend(loc="lower right", fontsize=9,)
    plt.grid(ls=":")

plot_ray_velocity 

plot_ray_velocity(
    fig_name: str,
    model: Isotropic | Step | ExponentialActivation,
    gma: GeometricMechanicsAnalysis,
    title_font_size: int = 12,
    fig_size: tuple[float, float] = (5, 5),
) -> None

Plot ray velocity indicatrix, plus convex/concave colors, critical βs.

Parameters

fig_name: str, model: Any, title_font_size: int=12, fig_size: tuple[float, float]=(5, 5,),

Attributes

Uses create_figure (adds to fig dict), props.

Source code in erosionfront/visualization/gmaviz.py 
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def plot_ray_velocity(
        self,
        fig_name: str,
        model: Isotropic | Step | ExponentialActivation,
        gma: GeometricMechanicsAnalysis,
        title_font_size: int=12,
        fig_size: tuple[float, float]=(5, 5,),
    ) -> None:
    """
    Plot ray velocity indicatrix, plus convex/concave colors, critical βs.

    Parameters
    ----------
    fig_name: str,
    model: Any,
    title_font_size: int=12,
    fig_size: tuple[float, float]=(5, 5,),

    Attributes
    ----------
    Uses create_figure (adds to fig dict), props.
    """
    self.create_figure(fig_name, fig_size=fig_size,)
    plt.title(
        self.make_title(model, r"Ray velocity  v", gma,),
        fontdict={"fontsize": title_font_size,},
    )
    plt.xlabel(r"$v^x$  [-]")
    plt.ylabel(r"$v^z$  [-]")

    β: NDArray = gma.β[gma.dHdpz_onshell<1.3]
    vx = gma.dHdpx_onshell[gma.dHdpz_onshell<1.3]
    vz = gma.dHdpz_onshell[gma.dHdpz_onshell<1.3]
    vx_max = np.max(vx)*1.1

    β_c0: float = 0 if gma.β_c0 is None else gma.β_c0
    β_c1: float = 0 if gma.β_c1 is None else gma.β_c1
    β_mpx: float = 0 if gma.β_mpx is None else gma.β_mpx
    β_rs0: float = 0 if gma.β_rs0 is None else gma.β_rs0
    β_rs1: float = 0 if gma.β_rs1 is None else gma.β_rs1
    α_c0: float = 0 if gma.α_c0 is None else gma.α_c0
    α_c1: float = 0 if gma.α_c1 is None else gma.α_c1
    α_rs0: float = 0 if gma.α_rs0 is None else gma.α_rs0
    α_rs1: float = 0 if gma.α_rs1 is None else gma.α_rs1

    # plt.plot(
    #     vx, vz, self.props["cvx0_color"], lw=0.5,
    # )
    plt.plot(
        vx[β<=β_c0], vz[β<=β_c0], self.props["cvx0_color"], lw=2,
    )
    plt.plot(
        vx[(β>=β_c0) & (β<=β_c1)], vz[(β>=β_c0) & (β<=β_c1)], 
        self.props["ccv_color"], lw=1.5,
    )
    plt.plot(
        vx[β>=β_c1], vz[β>=β_c1], self.props["cvx1_color"], lw=1.5,
    )
    axes = plt.gca()
    axes.set_aspect(1)
    plt.grid(ls=":")

    if model.type=="ISO":
        return

    # plt.plot(
    #     (0,vx_max),
    #     (0,vx_max*np.tan(α_mpx)), 
    #     ":",
    #     lw=1,
    #     color=self.props["βmpx_color"],
    #     label=(
    #         r"$\beta_{\mathrm{mpx}}$" 
    #         + rf"$={np.rad2deg(β_mpx):3.1f}\degree$, "
    #         + r"$\alpha_{\mathrm{mpx}}$"
    #         + rf"$={np.rad2deg(α_mpx):3.1f}\degree$"
    #     ),
    # )
    plt.plot(
        (0,vx_max),
        (0,vx_max*np.tan(α_rs0)), 
        "-",
        lw=3,
        alpha=0.2,
        color=self.props["βrs0_color"],
        label=(
            r"$\beta_{\mathrm{rs0}}$" 
            + rf"$={np.rad2deg(β_rs0):3.1f}\degree$, "
            + r"$\alpha_{\mathrm{rs0}}$"
            + rf"$={np.rad2deg(α_rs0):3.1f}\degree$"
        ),
    )
    plt.plot(
        (0,vx_max),
        (0,vx_max*np.tan(α_c0)),
        "--",
        lw=1,
        color=self.props["βc0_color"],
        label=(
            r"$\beta_{\mathrm{c0}}$" 
            + rf"$={np.rad2deg(β_c0):3.1f}\degree$, "
            + r"$\alpha_{\mathrm{c0}}$"
            + rf"$={np.rad2deg(α_c0):3.1f}\degree$"
        ),
    )
    plt.plot(
        (0,vx_max),
        (0,vx_max*np.tan(α_c1)), 
        "--",
        lw=1,
        color=self.props["βc1_color"],
        label=(
            r"$\beta_{\mathrm{c1}}$" 
            + rf"$={np.rad2deg(β_c1):3.1f}\degree$, "
            + r"$\alpha_{\mathrm{c1}}$"
            + rf"$={np.rad2deg(α_c1):3.1f}\degree$"
            # + r",  $\beta_{\mathrm{rs}}$"
            # + rf"$= {np.rad2deg(model.β_rs1):3.1f}\degree$"
        ),
    )
    plt.plot(
        (0,vx_max),
        (0,vx_max*np.tan(α_rs1)), 
        "-",
        lw=3,
        alpha=0.4,
        color=self.props["βrs1_color"],
        label=(
            r"$\beta_{\mathrm{rs1}}$" 
            + rf"$={np.rad2deg(β_rs1):3.1f}\degree$, "
            + r"$\alpha_{\mathrm{rs1}}$"
            + rf"$={np.rad2deg(α_rs1):3.1f}\degree$"
        ),
    )

    x_: float
    y_: float
    color_: str
    marker_: str
    label_: str
    x_fn: Callable = gma.dHdpx_onshell_interpfn
    y_fn: Callable = gma.dHdpz_onshell_interpfn
    for (x_, y_, color_, marker_, label_,)  in zip(
            (
                x_fn(β_rs0),
                x_fn(β_c0), 
                x_fn(β_c1),
                x_fn(β_rs1),
                x_fn(β_mpx), 
             ),
            (
                y_fn(β_rs0),
                y_fn(β_c0),
                y_fn(β_c1),
                y_fn(β_rs1),
                y_fn(β_mpx),
             ),
            (
                self.props["βrs0_color"],
                self.props["βc0_color"],
                self.props["βc1_color"],
                self.props["βrs1_color"],
                self.props["βmpx_color"],
             ),
            (
                self.props["βrs0_marker"],
                self.props["βc0_marker"],
                self.props["βc1_marker"],
                self.props["βrs1_marker"],
                self.props["βmpx_marker"],
             ),
            (
                r"transition $\beta_\mathrm{rs0} = $"
                    +rf"{np.rad2deg(β_rs0):3.1f}$\degree$",
                r"$\det{g_*}=0$  @  $\beta_{\mathrm{c0}} = $" 
                    + rf"{np.rad2deg(β_c0):3.1f}$\degree$",
                r"$\det{g_*}=0$  @  $\beta_{\mathrm{c1}} = $"
                    + rf"{np.rad2deg(β_c1):3.1f}$\degree$",
                r"transition $\beta_\mathrm{rs1} = $"
                    +rf"{np.rad2deg(β_rs1):3.1f}$\degree$",
                r"max $p_x$ @ $\beta_\mathrm{mpx} = $"
                    +rf"{np.rad2deg(β_mpx):3.1f}$\degree$",
            ),
        ):
        # Switched to axes.plot from plt.scatter in hope we can overlay
        #   two plots and have separate legends for markers & lines
        plt.scatter(
            x_, 
            y_,
            marker=marker_,
            color=color_,
            s=50*2 if marker_=="*" else 25*2,
            alpha=0.75 if marker_=="*" else 1,
            label=label_,
            zorder=10,
        )

    plt.legend(loc=(1.03,0.3,), fontsize=9,)

plot_semicircle_rays 

plot_semicircle_rays(
    fig_name: str,
    model: Isotropic | Step | ExponentialActivation,
    gma: GeometricMechanicsAnalysis,
    x_max: float = 2.5,
    title_font_size: int = 12,
    fig_size: tuple[float, float] = (7, 5),
) -> None

Plot ray velocity indicatrix, plus convex/concave colors, critical βs.

Parameters

fig_name: str, model: Any, title_font_size: int=12, fig_size: tuple[float, float]=(5, 5,),

Attributes

Uses create_figure (adds to fig dict), props.

Source code in erosionfront/visualization/gmaviz.py 
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def plot_semicircle_rays(
        self,
        fig_name: str,
        model: Isotropic | Step | ExponentialActivation,
        gma: GeometricMechanicsAnalysis,
        x_max: float=2.5,
        title_font_size: int=12,
        fig_size: tuple[float, float]=(7, 5,),
    ) -> None:
    """
    Plot ray velocity indicatrix, plus convex/concave colors, critical βs.

    Parameters
    ----------
    fig_name: str,
    model: Any,
    title_font_size: int=12,
    fig_size: tuple[float, float]=(5, 5,),

    Attributes
    ----------
    Uses create_figure (adds to fig dict), props.
    """
    self.create_figure(fig_name, fig_size=fig_size,)
    plt.title(
        self.make_title(model, r"Semicircle propagation", gma,),
        fontdict={"fontsize": title_font_size,},
    )
    plt.xlabel(r"$x$  [-]")
    plt.ylabel(r"$z$  [-]")

    β: NDArray = gma.β
    vx: NDArray = gma.dHdpx_onshell
    vz: NDArray = gma.dHdpz_onshell

    β_c0: float = 0 if gma.β_c0 is None else gma.β_c0
    β_c1: float = 0 if gma.β_c1 is None else gma.β_c1
    β_rs1: float = 0 if gma.β_rs1 is None else gma.β_rs1
    α_c0: float = 0 if gma.α_c0 is None else gma.α_c0

    β_: NDArray
    for sf_ in np.linspace(0, 3, 31, endpoint=True,):
        β_ = β[β<β_c0]
        plt.plot(
            np.sin(β_) + vx[β<β_c0]*sf_, 
            1 -np.cos(β_) + vz[β<β_c0]*sf_, 
            # self.props["cvx0_color"], 
            color="k",
            lw=0.5,
        )
        β_ = β[(β>=β_c0) & (β<=β_c1)]
        plt.plot(
            np.sin(β_) + vx[(β>=β_c0) & (β<=β_c1)]*sf_, 
            1 -np.cos(β_) + vz[(β>=β_c0) & (β<=β_c1)]*sf_, 
            "-",
            color="r",
            # self.props["ccv_color"], 
            lw=1,
        )
        # β_ = β[β>β_c1]
        # plt.plot(
        #     np.sin(β_) + vx[β>β_c1]*sf_, 
        #     -np.cos(β_) + vz[β>β_c1]*sf_, 
        #     self.props["cvx1_color"], 
        #     lw=1,
        # )
    β_ = β[β<β_c0][-1]
    vx_ = vx[β<β_c0][-1]
    vz_ = vz[β<β_c0][-1]
    sf_ = np.linspace(0, 3, 101, endpoint=True,)
    plt.plot(
        np.sin(β_) + vx_*sf_, 
        1 -np.cos(β_) + vz_*sf_, 
        lw=3,
        alpha=0.2,
        color=self.props["βrs0_color"],
    )
    vx_fn: Callable = gma.dHdpx_onshell_interpfn
    vz_fn: Callable = gma.dHdpz_onshell_interpfn
    plt.plot(
        np.sin(β_c0) + vx_fn(β_c0)*sf_, 
        1 -np.cos(β_c0) + vz_fn(β_c0)*sf_, 
        "--",
        lw=1,
        color=self.props["βc0_color"],
        label=(
            r"$\beta_{\mathrm{c0}}$" 
            + rf"$={np.rad2deg(β_c0):3.1f}\degree$, "
            + r"$\alpha_{\mathrm{c0}}$"
            + rf"$={np.rad2deg(α_c0):3.1f}\degree$"
        ),
    )
    plt.plot(
        np.sin(β_rs1) + vx_fn(β_rs1)*sf_, 
        1 -np.cos(β_rs1) + vz_fn(β_rs1)*sf_, 
        lw=3,
        alpha=0.5,
        color=self.props["βrs1_color"],
        label=(
            r"$\beta_{\mathrm{rs1}}$" 
            + rf"$={np.rad2deg(β_rs1):3.1f}\degree$, "
            + r"$\alpha_{\mathrm{rs1}}$"
            + rf"$={np.rad2deg(β_rs1):3.1f}\degree$"
        ),
    )
    axes = plt.gca()
    axes.set_aspect(1)
    plt.grid(ls=":")
    plt.ylim(0, 1)
    plt.xlim(0, x_max,)
    plt.legend(fontsize=9, loc="upper left",)

plot_threshold_ray_angle 

plot_threshold_ray_angle(
    fig_name: str,
    model: Isotropic | Step | ExponentialActivation,
    gma: GeometricMechanicsAnalysis,
    title_font_size: int = 12,
    fig_size: tuple[float, float] = (4, 5),
) -> None

Plot β(α-α_c1) and the critical slope angle β_rs1(α_rs1).

Parameters

fig_name: str model: Any title_font_size: int=12 fig_size: tuple[float, float]=(4, 5,)

Attributes

Uses create_figure (adds to fig dict), props.

Source code in erosionfront/visualization/gmaviz.py 
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def plot_threshold_ray_angle(
        self,
        fig_name: str,
        model: Isotropic | Step | ExponentialActivation,
        gma: GeometricMechanicsAnalysis,
        title_font_size: int=12,
        fig_size: tuple[float, float]=(4, 5,),
    ) -> None:
    """
    Plot β(α-α_c1) and the critical slope angle β_rs1(α_rs1).

    Parameters
    ----------
    fig_name: str
    model: Any
    title_font_size: int=12
    fig_size: tuple[float, float]=(4, 5,)

    Attributes
    ----------
    Uses create_figure (adds to fig dict), props.
    """
    self.create_figure(fig_name, fig_size=fig_size,)
    plt.title(
        self.make_title(model, "Threshold ray angle \\alpha", gma,),
        fontdict={"fontsize": title_font_size,},
    )
    plt.xlabel(r"$\alpha - \alpha_{\mathrm{c1}}$  [$\degree$]")
    plt.ylabel(r"$\beta$  [$\degree$]")

    β_c0: float = 0 if gma.β_c0 is None else gma.β_c0
    β_rs1: float = 0 if gma.β_rs1 is None else gma.β_rs1
    α_rs1: float = 0 if gma.α_rs1 is None else gma.α_rs1
    α_c1: float = 0 if gma.α_c1 is None else gma.α_c1

    β = gma.β
    plt.scatter(
        np.rad2deg(α_rs1-α_c1), 
        np.rad2deg(β_rs1), 
        color = self.props["βrs1_color"], 
        marker = self.props["βrs1_marker"], 
        label = (
            r"$\beta_{\mathrm{rs1}}$"
            + rf"$= {np.rad2deg(β_rs1):3.1f}\degree$,  "
            + r"$\alpha_{\mathrm{rs1}} = \alpha_{\mathrm{c1}} $"
            + rf"$= {np.rad2deg(α_rs1):3.1f}\degree$"
        ),
        zorder=10,
    )
    plt.plot(
        np.rad2deg(gma.α_onshell_interpfn(β[β<β_c0])-α_c1),
        np.rad2deg(β[β<β_c0]), 
    )
    plt.legend()
    plt.grid(ls=":")

stretch 

stretch(
    fig: Figure,
    xs: tuple[float, float] | None = None,
    ys: tuple[float, float] | None = None,
) -> None

Stretch graph axes by respective factors.

Source code in erosionfront/visualization/base.py 
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def stretch(
    self,
    fig: Figure,
    xs: tuple[float, float] | None = None,
    ys: tuple[float, float] | None = None,
) -> None:
    """Stretch graph axes by respective factors."""
    axes: plt.Axes = fig.gca()
    if xs is not None:
        x_lim = axes.get_xlim()
        x_range = x_lim[1] - x_lim[0]
        axes.set_xlim(
            x_lim[0] - x_range * xs[0], x_lim[1] + x_range * xs[1]
        )
    if ys is not None:
        y_lim = axes.get_ylim()
        y_range = y_lim[1] - y_lim[0]
        axes.set_ylim(
            y_lim[0] - y_range * ys[0], y_lim[1] + y_range * ys[1]
        )