lines.py

"""
This module contains all the 2D line class which can draw with a
variety of line styles, markers and colors.
"""

# TODO: expose cap and join style attrs
from numbers import Integral, Number, Real
import logging

import numpy as np

from . import artist, cbook, colors as mcolors, docstring, rcParams
from .artist import Artist, allow_rasterization
from .cbook import (
    _to_unmasked_float_array, ls_mapper, ls_mapper_r, STEP_LOOKUP_MAP)
from .markers import MarkerStyle
from .path import Path
from .transforms import Bbox, TransformedPath

# Imported here for backward compatibility, even though they don't
# really belong.
from . import _path
from .markers import (
    CARETLEFT, CARETRIGHT, CARETUP, CARETDOWN,
    CARETLEFTBASE, CARETRIGHTBASE, CARETUPBASE, CARETDOWNBASE,
    TICKLEFT, TICKRIGHT, TICKUP, TICKDOWN)

_log = logging.getLogger(__name__)


def _get_dash_pattern(style):
    """Convert linestyle -> dash pattern
    """
    # go from short hand -> full strings
    if isinstance(style, str):
        style = ls_mapper.get(style, style)
    # un-dashed styles
    if style in ['solid', 'None']:
        offset, dashes = None, None
    # dashed styles
    elif style in ['dashed', 'dashdot', 'dotted']:
        offset = 0
        dashes = tuple(rcParams['lines.{}_pattern'.format(style)])
    #
    elif isinstance(style, tuple):
        offset, dashes = style
    else:
        raise ValueError('Unrecognized linestyle: %s' % str(style))

    # normalize offset to be positive and shorter than the dash cycle
    if dashes is not None and offset is not None:
        dsum = sum(dashes)
        if dsum:
            offset %= dsum

    return offset, dashes


def _scale_dashes(offset, dashes, lw):
    if not rcParams['lines.scale_dashes']:
        return offset, dashes

    scaled_offset = scaled_dashes = None
    if offset is not None:
        scaled_offset = offset * lw
    if dashes is not None:
        scaled_dashes = [x * lw if x is not None else None
                         for x in dashes]

    return scaled_offset, scaled_dashes


def segment_hits(cx, cy, x, y, radius):
    """
    Return the indices of the segments in the polyline with coordinates (*cx*,
    *cy*) that are within a distance *radius* of the point (*x*, *y*).
    """
    # Process single points specially
    if len(x) <= 1:
        res, = np.nonzero((cx - x) ** 2 + (cy - y) ** 2 <= radius ** 2)
        return res

    # We need to lop the last element off a lot.
    xr, yr = x[:-1], y[:-1]

    # Only look at line segments whose nearest point to C on the line
    # lies within the segment.
    dx, dy = x[1:] - xr, y[1:] - yr
    Lnorm_sq = dx ** 2 + dy ** 2  # Possibly want to eliminate Lnorm==0
    u = ((cx - xr) * dx + (cy - yr) * dy) / Lnorm_sq
    candidates = (u >= 0) & (u <= 1)

    # Note that there is a little area near one side of each point
    # which will be near neither segment, and another which will
    # be near both, depending on the angle of the lines.  The
    # following radius test eliminates these ambiguities.
    point_hits = (cx - x) ** 2 + (cy - y) ** 2 <= radius ** 2
    candidates = candidates & ~(point_hits[:-1] | point_hits[1:])

    # For those candidates which remain, determine how far they lie away
    # from the line.
    px, py = xr + u * dx, yr + u * dy
    line_hits = (cx - px) ** 2 + (cy - py) ** 2 <= radius ** 2
    line_hits = line_hits & candidates
    points, = point_hits.ravel().nonzero()
    lines, = line_hits.ravel().nonzero()
    return np.concatenate((points, lines))


def _mark_every_path(markevery, tpath, affine, ax_transform):
    """
    Helper function that sorts out how to deal the input
    `markevery` and returns the points where markers should be drawn.

    Takes in the `markevery` value and the line path and returns the
    sub-sampled path.
    """
    # pull out the two bits of data we want from the path
    codes, verts = tpath.codes, tpath.vertices

    def _slice_or_none(in_v, slc):
        '''
        Helper function to cope with `codes` being an
        ndarray or `None`
        '''
        if in_v is None:
            return None
        return in_v[slc]

    # if just an int, assume starting at 0 and make a tuple
    if isinstance(markevery, Integral):
        markevery = (0, markevery)
    # if just a float, assume starting at 0.0 and make a tuple
    elif isinstance(markevery, Real):
        markevery = (0.0, markevery)

    if isinstance(markevery, tuple):
        if len(markevery) != 2:
            raise ValueError('`markevery` is a tuple but its len is not 2; '
                             'markevery={}'.format(markevery))
        start, step = markevery
        # if step is an int, old behavior
        if isinstance(step, Integral):
            # tuple of 2 int is for backwards compatibility,
            if not isinstance(start, Integral):
                raise ValueError(
                    '`markevery` is a tuple with len 2 and second element is '
                    'an int, but the first element is not an int; markevery={}'
                    .format(markevery))
            # just return, we are done here

            return Path(verts[slice(start, None, step)],
                        _slice_or_none(codes, slice(start, None, step)))

        elif isinstance(step, Real):
            if not isinstance(start, Real):
                raise ValueError(
                    '`markevery` is a tuple with len 2 and second element is '
                    'a float, but the first element is not a float or an int; '
                    'markevery={}'.format(markevery))
            # calc cumulative distance along path (in display coords):
            disp_coords = affine.transform(tpath.vertices)
            delta = np.empty((len(disp_coords), 2))
            delta[0, :] = 0
            delta[1:, :] = disp_coords[1:, :] - disp_coords[:-1, :]
            delta = np.sum(delta**2, axis=1)
            delta = np.sqrt(delta)
            delta = np.cumsum(delta)
            # calc distance between markers along path based on the axes
            # bounding box diagonal being a distance of unity:
            scale = ax_transform.transform(np.array([[0, 0], [1, 1]]))
            scale = np.diff(scale, axis=0)
            scale = np.sum(scale**2)
            scale = np.sqrt(scale)
            marker_delta = np.arange(start * scale, delta[-1], step * scale)
            # find closest actual data point that is closest to
            # the theoretical distance along the path:
            inds = np.abs(delta[np.newaxis, :] - marker_delta[:, np.newaxis])
            inds = inds.argmin(axis=1)
            inds = np.unique(inds)
            # return, we are done here
            return Path(verts[inds], _slice_or_none(codes, inds))
        else:
            raise ValueError(
                f"markevery={markevery!r} is a tuple with len 2, but its "
                f"second element is not an int or a float")

    elif isinstance(markevery, slice):
        # mazol tov, it's already a slice, just return
        return Path(verts[markevery], _slice_or_none(codes, markevery))

    elif np.iterable(markevery):
        # fancy indexing
        try:
            return Path(verts[markevery], _slice_or_none(codes, markevery))
        except (ValueError, IndexError):
            raise ValueError(
                f"markevery={markevery!r} is iterable but not a valid numpy "
                f"fancy index")
    else:
        raise ValueError(f"markevery={markevery!r} is not a recognized value")


@cbook._define_aliases({
    "antialiased": ["aa"],
    "color": ["c"],
    "drawstyle": ["ds"],
    "linestyle": ["ls"],
    "linewidth": ["lw"],
    "markeredgecolor": ["mec"],
    "markeredgewidth": ["mew"],
    "markerfacecolor": ["mfc"],
    "markerfacecoloralt": ["mfcalt"],
    "markersize": ["ms"],
})
class Line2D(Artist):
    """
    A line - the line can have both a solid linestyle connecting all
    the vertices, and a marker at each vertex.  Additionally, the
    drawing of the solid line is influenced by the drawstyle, e.g., one
    can create "stepped" lines in various styles.
    """

    lineStyles = _lineStyles = {  # hidden names deprecated
        '-':    '_draw_solid',
        '--':   '_draw_dashed',
        '-.':   '_draw_dash_dot',
        ':':    '_draw_dotted',
        'None': '_draw_nothing',
        ' ':    '_draw_nothing',
        '':     '_draw_nothing',
    }

    _drawStyles_l = {
        'default':    '_draw_lines',
        'steps-mid':  '_draw_steps_mid',
        'steps-pre':  '_draw_steps_pre',
        'steps-post': '_draw_steps_post',
    }

    _drawStyles_s = {
        'steps': '_draw_steps_pre',
    }

    # drawStyles should now be deprecated.
    drawStyles = {**_drawStyles_l, **_drawStyles_s}
    # Need a list ordered with long names first:
    drawStyleKeys = [*_drawStyles_l, *_drawStyles_s]

    # Referenced here to maintain API.  These are defined in
    # MarkerStyle
    markers = MarkerStyle.markers
    filled_markers = MarkerStyle.filled_markers
    fillStyles = MarkerStyle.fillstyles

    zorder = 2
    validCap = ('butt', 'round', 'projecting')
    validJoin = ('miter', 'round', 'bevel')

    def __str__(self):
        if self._label != "":
            return f"Line2D({self._label})"
        elif self._x is None:
            return "Line2D()"
        elif len(self._x) > 3:
            return "Line2D((%g,%g),(%g,%g),...,(%g,%g))" % (
                self._x[0], self._y[0], self._x[0],
                self._y[0], self._x[-1], self._y[-1])
        else:
            return "Line2D(%s)" % ",".join(
                map("({:g},{:g})".format, self._x, self._y))

    def __init__(self, xdata, ydata,
                 linewidth=None,  # all Nones default to rc
                 linestyle=None,
                 color=None,
                 marker=None,
                 markersize=None,
                 markeredgewidth=None,
                 markeredgecolor=None,
                 markerfacecolor=None,
                 markerfacecoloralt='none',
                 fillstyle=None,
                 antialiased=None,
                 dash_capstyle=None,
                 solid_capstyle=None,
                 dash_joinstyle=None,
                 solid_joinstyle=None,
                 pickradius=5,
                 drawstyle=None,
                 markevery=None,
                 **kwargs
                 ):
        """
        Create a :class:`~matplotlib.lines.Line2D` instance with *x*
        and *y* data in sequences *xdata*, *ydata*.

        The kwargs are :class:`~matplotlib.lines.Line2D` properties:

        %(_Line2D_docstr)s

        See :meth:`set_linestyle` for a description of the line styles,
        :meth:`set_marker` for a description of the markers, and
        :meth:`set_drawstyle` for a description of the draw styles.

        """
        Artist.__init__(self)

        #convert sequences to numpy arrays
        if not np.iterable(xdata):
            raise RuntimeError('xdata must be a sequence')
        if not np.iterable(ydata):
            raise RuntimeError('ydata must be a sequence')

        if linewidth is None:
            linewidth = rcParams['lines.linewidth']

        if linestyle is None:
            linestyle = rcParams['lines.linestyle']
        if marker is None:
            marker = rcParams['lines.marker']
        if markerfacecolor is None:
            markerfacecolor = rcParams['lines.markerfacecolor']
        if markeredgecolor is None:
            markeredgecolor = rcParams['lines.markeredgecolor']
        if color is None:
            color = rcParams['lines.color']

        if markersize is None:
            markersize = rcParams['lines.markersize']
        if antialiased is None:
            antialiased = rcParams['lines.antialiased']
        if dash_capstyle is None:
            dash_capstyle = rcParams['lines.dash_capstyle']
        if dash_joinstyle is None:
            dash_joinstyle = rcParams['lines.dash_joinstyle']
        if solid_capstyle is None:
            solid_capstyle = rcParams['lines.solid_capstyle']
        if solid_joinstyle is None:
            solid_joinstyle = rcParams['lines.solid_joinstyle']

        if isinstance(linestyle, str):
            ds, ls = self._split_drawstyle_linestyle(linestyle)
            if ds is not None and drawstyle is not None and ds != drawstyle:
                raise ValueError("Inconsistent drawstyle ({!r}) and linestyle "
                                 "({!r})".format(drawstyle, linestyle))
            linestyle = ls

            if ds is not None:
                drawstyle = ds

        if drawstyle is None:
            drawstyle = 'default'

        self._dashcapstyle = None
        self._dashjoinstyle = None
        self._solidjoinstyle = None
        self._solidcapstyle = None
        self.set_dash_capstyle(dash_capstyle)
        self.set_dash_joinstyle(dash_joinstyle)
        self.set_solid_capstyle(solid_capstyle)
        self.set_solid_joinstyle(solid_joinstyle)

        self._linestyles = None
        self._drawstyle = None
        self._linewidth = linewidth

        # scaled dash + offset
        self._dashSeq = None
        self._dashOffset = 0
        # unscaled dash + offset
        # this is needed scaling the dash pattern by linewidth
        self._us_dashSeq = None
        self._us_dashOffset = 0

        self.set_linewidth(linewidth)
        self.set_linestyle(linestyle)
        self.set_drawstyle(drawstyle)

        self._color = None
        self.set_color(color)
        self._marker = MarkerStyle(marker, fillstyle)

        self._markevery = None
        self._markersize = None
        self._antialiased = None

        self.set_markevery(markevery)
        self.set_antialiased(antialiased)
        self.set_markersize(markersize)

        self._markeredgecolor = None
        self._markeredgewidth = None
        self._markerfacecolor = None
        self._markerfacecoloralt = None

        self.set_markerfacecolor(markerfacecolor)
        self.set_markerfacecoloralt(markerfacecoloralt)
        self.set_markeredgecolor(markeredgecolor)
        self.set_markeredgewidth(markeredgewidth)

        # update kwargs before updating data to give the caller a
        # chance to init axes (and hence unit support)
        self.update(kwargs)
        self.pickradius = pickradius
        self.ind_offset = 0
        if isinstance(self._picker, Number):
            self.pickradius = self._picker

        self._xorig = np.asarray([])
        self._yorig = np.asarray([])
        self._invalidx = True
        self._invalidy = True
        self._x = None
        self._y = None
        self._xy = None
        self._path = None
        self._transformed_path = None
        self._subslice = False
        self._x_filled = None  # used in subslicing; only x is needed

        self.set_data(xdata, ydata)

    @cbook.deprecated("3.1")
    @property
    def verticalOffset(self):
        return None

    def contains(self, mouseevent):
        """
        Test whether the mouse event occurred on the line.  The pick
        radius determines the precision of the location test (usually
        within five points of the value).  Use
        :meth:`~matplotlib.lines.Line2D.get_pickradius` or
        :meth:`~matplotlib.lines.Line2D.set_pickradius` to view or
        modify it.

        Parameters
        ----------
        mouseevent : `matplotlib.backend_bases.MouseEvent`

        Returns
        -------
        contains : bool
            Whether any values are within the radius.
        details : dict
            A dictionary ``{'ind': pointlist}``, where *pointlist* is a
            list of points of the line that are within the pickradius around
            the event position.

            TODO: sort returned indices by distance
        """
        if callable(self._contains):
            return self._contains(self, mouseevent)

        if not isinstance(self.pickradius, Number):
            raise ValueError("pick radius should be a distance")

        # Make sure we have data to plot
        if self._invalidy or self._invalidx:
            self.recache()
        if len(self._xy) == 0:
            return False, {}

        # Convert points to pixels
        transformed_path = self._get_transformed_path()
        path, affine = transformed_path.get_transformed_path_and_affine()
        path = affine.transform_path(path)
        xy = path.vertices
        xt = xy[:, 0]
        yt = xy[:, 1]

        # Convert pick radius from points to pixels
        if self.figure is None:
            _log.warning('no figure set when check if mouse is on line')
            pixels = self.pickradius
        else:
            pixels = self.figure.dpi / 72. * self.pickradius

        # The math involved in checking for containment (here and inside of
        # segment_hits) assumes that it is OK to overflow, so temporarily set
        # the error flags accordingly.
        with np.errstate(all='ignore'):
            # Check for collision
            if self._linestyle in ['None', None]:
                # If no line, return the nearby point(s)
                ind, = np.nonzero(
                    (xt - mouseevent.x) ** 2 + (yt - mouseevent.y) ** 2
                    <= pixels ** 2)
            else:
                # If line, return the nearby segment(s)
                ind = segment_hits(mouseevent.x, mouseevent.y, xt, yt, pixels)
                if self._drawstyle.startswith("steps"):
                    ind //= 2

        ind += self.ind_offset

        # Return the point(s) within radius
        return len(ind) > 0, dict(ind=ind)

    def get_pickradius(self):
        """
        Return the pick radius used for containment tests.

        See `.contains` for more details.
        """
        return self.pickradius

    def set_pickradius(self, d):
        """Set the pick radius used for containment tests.

        See `.contains` for more details.

        Parameters
        ----------
        d : float
            Pick radius, in points.
        """
        self.pickradius = d

    def get_fillstyle(self):
        """
        Return the marker fill style.

        See also `~.Line2D.set_fillstyle`.
        """
        return self._marker.get_fillstyle()

    def set_fillstyle(self, fs):
        """
        Set the marker fill style.

        Parameters
        ----------
        fs : {'full', 'left', 'right', 'bottom', 'top', 'none'}
            Possible values:

            - 'full': Fill the whole marker with the *markerfacecolor*.
            - 'left', 'right', 'bottom', 'top': Fill the marker half at
              the given side with the *markerfacecolor*. The other
              half of the marker is filled with *markerfacecoloralt*.
            - 'none': No filling.

            For examples see
            :doc:`/gallery/lines_bars_and_markers/marker_fillstyle_reference`.
        """
        self._marker.set_fillstyle(fs)
        self.stale = True

    def set_markevery(self, every):
        """Set the markevery property to subsample the plot when using markers.

        e.g., if `every=5`, every 5-th marker will be plotted.

        Parameters
        ----------
        every : None or int or (int, int) or slice or List[int] or float or \
(float, float)
            Which markers to plot.

            - every=None, every point will be plotted.
            - every=N, every N-th marker will be plotted starting with
              marker 0.
            - every=(start, N), every N-th marker, starting at point
              start, will be plotted.
            - every=slice(start, end, N), every N-th marker, starting at
              point start, up to but not including point end, will be plotted.
            - every=[i, j, m, n], only markers at points i, j, m, and n
              will be plotted.
            - every=0.1, (i.e. a float) then markers will be spaced at
              approximately equal distances along the line; the distance
              along the line between markers is determined by multiplying the
              display-coordinate distance of the axes bounding-box diagonal
              by the value of every.
            - every=(0.5, 0.1) (i.e. a length-2 tuple of float), the same
              functionality as every=0.1 is exhibited but the first marker will
              be 0.5 multiplied by the display-coordinate-diagonal-distance
              along the line.

        Notes
        -----
        Setting the markevery property will only show markers at actual data
        points.  When using float arguments to set the markevery property
        on irregularly spaced data, the markers will likely not appear evenly
        spaced because the actual data points do not coincide with the
        theoretical spacing between markers.

        When using a start offset to specify the first marker, the offset will
        be from the first data point which may be different from the first
        the visible data point if the plot is zoomed in.

        If zooming in on a plot when using float arguments then the actual
        data points that have markers will change because the distance between
        markers is always determined from the display-coordinates
        axes-bounding-box-diagonal regardless of the actual axes data limits.

        """
        if self._markevery != every:
            self.stale = True
        self._markevery = every

    def get_markevery(self):
        """
        Return the markevery setting for marker subsampling.

        See also `~.Line2D.set_markevery`.
        """
        return self._markevery

    def set_picker(self, p):
        """Sets the event picker details for the line.

        Parameters
        ----------
        p : float or callable[[Artist, Event], Tuple[bool, dict]]
            If a float, it is used as the pick radius in points.
        """
        if callable(p):
            self._contains = p
        else:
            self.pickradius = p
        self._picker = p

    def get_window_extent(self, renderer):
        bbox = Bbox([[0, 0], [0, 0]])
        trans_data_to_xy = self.get_transform().transform
        bbox.update_from_data_xy(trans_data_to_xy(self.get_xydata()),
                                 ignore=True)
        # correct for marker size, if any
        if self._marker:
            ms = (self._markersize / 72.0 * self.figure.dpi) * 0.5
            bbox = bbox.padded(ms)
        return bbox

    @Artist.axes.setter
    def axes(self, ax):
        # call the set method from the base-class property
        Artist.axes.fset(self, ax)
        if ax is not None:
            # connect unit-related callbacks
            if ax.xaxis is not None:
                self._xcid = ax.xaxis.callbacks.connect('units',
                                                        self.recache_always)
            if ax.yaxis is not None:
                self._ycid = ax.yaxis.callbacks.connect('units',
                                                        self.recache_always)

    def set_data(self, *args):
        """
        Set the x and y data.

        Parameters
        ----------
        *args : (2, N) array or two 1D arrays
        """
        if len(args) == 1:
            (x, y), = args
        else:
            x, y = args

        self.set_xdata(x)
        self.set_ydata(y)

    def recache_always(self):
        self.recache(always=True)

    def recache(self, always=False):
        if always or self._invalidx:
            xconv = self.convert_xunits(self._xorig)
            x = _to_unmasked_float_array(xconv).ravel()
        else:
            x = self._x
        if always or self._invalidy:
            yconv = self.convert_yunits(self._yorig)
            y = _to_unmasked_float_array(yconv).ravel()
        else:
            y = self._y

        self._xy = np.column_stack(np.broadcast_arrays(x, y)).astype(float)
        self._x, self._y = self._xy.T  # views

        self._subslice = False
        if (self.axes and len(x) > 1000 and self._is_sorted(x) and
                self.axes.name == 'rectilinear' and
                self.axes.get_xscale() == 'linear' and
                self._markevery is None and
                self.get_clip_on()):
            self._subslice = True
            nanmask = np.isnan(x)
            if nanmask.any():
                self._x_filled = self._x.copy()
                indices = np.arange(len(x))
                self._x_filled[nanmask] = np.interp(indices[nanmask],
                        indices[~nanmask], self._x[~nanmask])
            else:
                self._x_filled = self._x

        if self._path is not None:
            interpolation_steps = self._path._interpolation_steps
        else:
            interpolation_steps = 1
        xy = STEP_LOOKUP_MAP[self._drawstyle](*self._xy.T)
        self._path = Path(np.asarray(xy).T,
                          _interpolation_steps=interpolation_steps)
        self._transformed_path = None
        self._invalidx = False
        self._invalidy = False

    def _transform_path(self, subslice=None):
        """
        Puts a TransformedPath instance at self._transformed_path;
        all invalidation of the transform is then handled by the
        TransformedPath instance.
        """
        # Masked arrays are now handled by the Path class itself
        if subslice is not None:
            xy = STEP_LOOKUP_MAP[self._drawstyle](*self._xy[subslice, :].T)
            _path = Path(np.asarray(xy).T,
                         _interpolation_steps=self._path._interpolation_steps)
        else:
            _path = self._path
        self._transformed_path = TransformedPath(_path, self.get_transform())

    def _get_transformed_path(self):
        """
        Return the :class:`~matplotlib.transforms.TransformedPath` instance
        of this line.
        """
        if self._transformed_path is None:
            self._transform_path()
        return self._transformed_path

    def set_transform(self, t):
        """
        Set the Transformation instance used by this artist.

        Parameters
        ----------
        t : `matplotlib.transforms.Transform`
        """
        Artist.set_transform(self, t)
        self._invalidx = True
        self._invalidy = True
        self.stale = True

    def _is_sorted(self, x):
        """Return whether x is sorted in ascending order."""
        # We don't handle the monotonically decreasing case.
        return _path.is_sorted(x)

    @allow_rasterization
    def draw(self, renderer):
        # docstring inherited from Artist.draw.

        if not self.get_visible():
            return

        if self._invalidy or self._invalidx:
            self.recache()
        self.ind_offset = 0  # Needed for contains() method.
        if self._subslice and self.axes:
            x0, x1 = self.axes.get_xbound()
            i0 = self._x_filled.searchsorted(x0, 'left')
            i1 = self._x_filled.searchsorted(x1, 'right')
            subslice = slice(max(i0 - 1, 0), i1 + 1)
            self.ind_offset = subslice.start
            self._transform_path(subslice)
        else:
            subslice = None

        if self.get_path_effects():
            from matplotlib.patheffects import PathEffectRenderer
            renderer = PathEffectRenderer(self.get_path_effects(), renderer)

        renderer.open_group('line2d', self.get_gid())
        if self._lineStyles[self._linestyle] != '_draw_nothing':
            tpath, affine = (self._get_transformed_path()
                             .get_transformed_path_and_affine())
            if len(tpath.vertices):
                gc = renderer.new_gc()
                self._set_gc_clip(gc)

                lc_rgba = mcolors.to_rgba(self._color, self._alpha)
                gc.set_foreground(lc_rgba, isRGBA=True)

                gc.set_antialiased(self._antialiased)
                gc.set_linewidth(self._linewidth)

                if self.is_dashed():
                    cap = self._dashcapstyle
                    join = self._dashjoinstyle
                else:
                    cap = self._solidcapstyle
                    join = self._solidjoinstyle
                gc.set_joinstyle(join)
                gc.set_capstyle(cap)
                gc.set_snap(self.get_snap())
                if self.get_sketch_params() is not None:
                    gc.set_sketch_params(*self.get_sketch_params())

                gc.set_dashes(self._dashOffset, self._dashSeq)
                renderer.draw_path(gc, tpath, affine.frozen())
                gc.restore()

        if self._marker and self._markersize > 0:
            gc = renderer.new_gc()
            self._set_gc_clip(gc)
            gc.set_linewidth(self._markeredgewidth)
            gc.set_antialiased(self._antialiased)

            ec_rgba = mcolors.to_rgba(
                self.get_markeredgecolor(), self._alpha)
            fc_rgba = mcolors.to_rgba(
                self._get_markerfacecolor(), self._alpha)
            fcalt_rgba = mcolors.to_rgba(
                self._get_markerfacecolor(alt=True), self._alpha)
            # If the edgecolor is "auto", it is set according to the *line*
            # color but inherits the alpha value of the *face* color, if any.
            if (cbook._str_equal(self._markeredgecolor, "auto")
                    and not cbook._str_lower_equal(
                        self.get_markerfacecolor(), "none")):
                ec_rgba = ec_rgba[:3] + (fc_rgba[3],)
            gc.set_foreground(ec_rgba, isRGBA=True)
            if self.get_sketch_params() is not None:
                scale, length, randomness = self.get_sketch_params()
                gc.set_sketch_params(scale/2, length/2, 2*randomness)

            marker = self._marker

            # Markers *must* be drawn ignoring the drawstyle (but don't pay the
            # recaching if drawstyle is already "default").
            if self.get_drawstyle() != "default":
                with cbook._setattr_cm(
                        self, _drawstyle="default", _transformed_path=None):
                    self.recache()
                    self._transform_path(subslice)
                    tpath, affine = (self._get_transformed_path()
                                    .get_transformed_path_and_affine())
            else:
                tpath, affine = (self._get_transformed_path()
                                 .get_transformed_path_and_affine())

            if len(tpath.vertices):
                # subsample the markers if markevery is not None
                markevery = self.get_markevery()
                if markevery is not None:
                    subsampled = _mark_every_path(markevery, tpath,
                                                  affine, self.axes.transAxes)
                else:
                    subsampled = tpath

                snap = marker.get_snap_threshold()
                if isinstance(snap, Real):
                    snap = renderer.points_to_pixels(self._markersize) >= snap
                gc.set_snap(snap)
                gc.set_joinstyle(marker.get_joinstyle())
                gc.set_capstyle(marker.get_capstyle())
                marker_path = marker.get_path()
                marker_trans = marker.get_transform()
                w = renderer.points_to_pixels(self._markersize)

                if cbook._str_equal(marker.get_marker(), ","):
                    gc.set_linewidth(0)
                else:
                    # Don't scale for pixels, and don't stroke them
                    marker_trans = marker_trans.scale(w)
                renderer.draw_markers(gc, marker_path, marker_trans,
                                      subsampled, affine.frozen(),
                                      fc_rgba)

                alt_marker_path = marker.get_alt_path()
                if alt_marker_path:
                    alt_marker_trans = marker.get_alt_transform()
                    alt_marker_trans = alt_marker_trans.scale(w)
                    renderer.draw_markers(
                            gc, alt_marker_path, alt_marker_trans, subsampled,
                            affine.frozen(), fcalt_rgba)

            gc.restore()

        renderer.close_group('line2d')
        self.stale = False

    def get_antialiased(self):
        """Return whether antialiased rendering is used."""
        return self._antialiased

    def get_color(self):
        """
        Return the line color.

        See also `~.Line2D.set_color`.
        """
        return self._color

    def get_drawstyle(self):
        """
        Return the drawstyle.

        See also `~.Line2D.set_drawstyle`.
        """
        return self._drawstyle

    def get_linestyle(self):
        """
        Return the linestyle.

        See also `~.Line2D.set_linestyle`.
        """
        return self._linestyle

    def get_linewidth(self):
        """
        Return the linewidth in points.

        See also `~.Line2D.set_linewidth`.
        """
        return self._linewidth

    def get_marker(self):
        """
        Return the line marker.

        See also `~.Line2D.set_marker`.
        """
        return self._marker.get_marker()

    def get_markeredgecolor(self):
        """
        Return the marker edge color.

        See also `~.Line2D.set_markeredgecolor`.
        """
        mec = self._markeredgecolor
        if cbook._str_equal(mec, 'auto'):
            if rcParams['_internal.classic_mode']:
                if self._marker.get_marker() in ('.', ','):
                    return self._color
                if self._marker.is_filled() and self.get_fillstyle() != 'none':
                    return 'k'  # Bad hard-wired default...
            return self._color
        else:
            return mec

    def get_markeredgewidth(self):
        """
        Return the marker edge width in points.

        See also `~.Line2D.set_markeredgewidth`.
        """
        return self._markeredgewidth

    def _get_markerfacecolor(self, alt=False):
        fc = self._markerfacecoloralt if alt else self._markerfacecolor
        if cbook._str_lower_equal(fc, 'auto'):
            if self.get_fillstyle() == 'none':
                return 'none'
            else:
                return self._color
        else:
            return fc

    def get_markerfacecolor(self):
        """
        Return the marker face color.

        See also `~.Line2D.set_markerfacecolor`.
        """
        return self._get_markerfacecolor(alt=False)

    def get_markerfacecoloralt(self):
        """
        Return the alternate marker face color.

        See also `~.Line2D.set_markerfacecoloralt`.
        """
        return self._get_markerfacecolor(alt=True)

    def get_markersize(self):
        """
        Return the marker size in points.

        See also `~.Line2D.set_markersize`.
        """
        return self._markersize

    def get_data(self, orig=True):
        """
        Return the xdata, ydata.

        If *orig* is *True*, return the original data.
        """
        return self.get_xdata(orig=orig), self.get_ydata(orig=orig)

    def get_xdata(self, orig=True):
        """
        Return the xdata.

        If *orig* is *True*, return the original data, else the
        processed data.
        """
        if orig:
            return self._xorig
        if self._invalidx:
            self.recache()
        return self._x

    def get_ydata(self, orig=True):
        """
        Return the ydata.

        If *orig* is *True*, return the original data, else the
        processed data.
        """
        if orig:
            return self._yorig
        if self._invalidy:
            self.recache()
        return self._y

    def get_path(self):
        """
        Return the :class:`~matplotlib.path.Path` object associated
        with this line.
        """
        if self._invalidy or self._invalidx:
            self.recache()
        return self._path

    def get_xydata(self):
        """
        Return the *xy* data as a Nx2 numpy array.
        """
        if self._invalidy or self._invalidx:
            self.recache()
        return self._xy

    def set_antialiased(self, b):
        """
        Set whether to use antialiased rendering.

        Parameters
        ----------
        b : bool
        """
        if self._antialiased != b:
            self.stale = True
        self._antialiased = b

    def set_color(self, color):
        """
        Set the color of the line.

        Parameters
        ----------
        color : color
        """
        self._color = color
        self.stale = True

    def set_drawstyle(self, drawstyle):
        """
        Set the drawstyle of the plot.

        The drawstyle determines how the points are connected.

        Parameters
        ----------
        drawstyle : {'default', 'steps', 'steps-pre', 'steps-mid', \
'steps-post'}, default: 'default'
            For 'default', the points are connected with straight lines.

            The steps variants connect the points with step-like lines,
            i.e. horizontal lines with vertical steps. They differ in the
            location of the step:

            - 'steps-pre': The step is at the beginning of the line segment,
              i.e. the line will be at the y-value of point to the right.
            - 'steps-mid': The step is halfway between the points.
            - 'steps-post: The step is at the end of the line segment,
              i.e. the line will be at the y-value of the point to the left.
            - 'steps' is equal to 'steps-pre' and is maintained for
              backward-compatibility.

        """
        if drawstyle is None:
            drawstyle = 'default'
        cbook._check_in_list(self.drawStyles, drawstyle=drawstyle)
        if self._drawstyle != drawstyle:
            self.stale = True
            # invalidate to trigger a recache of the path
            self._invalidx = True
        self._drawstyle = drawstyle

    def set_linewidth(self, w):
        """
        Set the line width in points.

        Parameters
        ----------
        w : float
        """
        w = float(w)

        if self._linewidth != w:
            self.stale = True
        self._linewidth = w
        # rescale the dashes + offset
        self._dashOffset, self._dashSeq = _scale_dashes(
            self._us_dashOffset, self._us_dashSeq, self._linewidth)

    def _split_drawstyle_linestyle(self, ls):
        """
        Split drawstyle from linestyle string.

        If *ls* is only a drawstyle default to returning a linestyle
        of '-'.

        Parameters
        ----------
        ls : str
            The linestyle to be processed

        Returns
        -------
        ret_ds : str or None
            If the linestyle string does not contain a drawstyle prefix
            return None, otherwise return it.

        ls : str
            The linestyle with the drawstyle (if any) stripped.
        """
        for ds in self.drawStyleKeys:  # long names are first in the list
            if ls.startswith(ds):
                cbook.warn_deprecated(
                    "3.1", message="Passing the drawstyle with the linestyle "
                    "as a single string is deprecated since Matplotlib "
                    "%(since)s and support will be removed %(removal)s; "
                    "please pass the drawstyle separately using the drawstyle "
                    "keyword argument to Line2D or set_drawstyle() method (or "
                    "ds/set_ds()).")
                return ds, ls[len(ds):] or '-'
        return None, ls

    def set_linestyle(self, ls):
        """
        Set the linestyle of the line.

        Parameters
        ----------
        ls : {'-', '--', '-.', ':', '', (offset, on-off-seq), ...}
            Possible values:

            - A string:

              ===============================   =================
              Linestyle                         Description
              ===============================   =================
              ``'-'`` or ``'solid'``            solid line
              ``'--'`` or  ``'dashed'``         dashed line
              ``'-.'`` or  ``'dashdot'``        dash-dotted line
              ``':'`` or ``'dotted'``           dotted line
              ``'None'`` or ``' '`` or ``''``   draw nothing
              ===============================   =================

              Optionally, the string may be preceded by a drawstyle, e.g.
              ``'steps--'``. See :meth:`set_drawstyle` for details.

            - Alternatively a dash tuple of the following form can be
              provided::

                  (offset, onoffseq)

              where ``onoffseq`` is an even length tuple of on and off ink
              in points. See also :meth:`set_dashes`.
        """
        if isinstance(ls, str):
            ds, ls = self._split_drawstyle_linestyle(ls)
            if ds is not None:
                self.set_drawstyle(ds)

            if ls in [' ', '', 'none']:
                ls = 'None'

            cbook._check_in_list([*self._lineStyles, *ls_mapper_r], ls=ls)
            if ls not in self._lineStyles:
                ls = ls_mapper_r[ls]
            self._linestyle = ls
        else:
            self._linestyle = '--'

        # get the unscaled dashes
        self._us_dashOffset, self._us_dashSeq = _get_dash_pattern(ls)
        # compute the linewidth scaled dashes
        self._dashOffset, self._dashSeq = _scale_dashes(
            self._us_dashOffset, self._us_dashSeq, self._linewidth)

    @docstring.dedent_interpd
    def set_marker(self, marker):
        """
        Set the line marker.

        Parameters
        ----------
        marker : marker style
            See `~matplotlib.markers` for full description of possible
            arguments.
        """
        self._marker.set_marker(marker)
        self.stale = True

    def set_markeredgecolor(self, ec):
        """
        Set the marker edge color.

        Parameters
        ----------
        ec : color
        """
        if ec is None:
            ec = 'auto'
        if (self._markeredgecolor is None
                or np.any(self._markeredgecolor != ec)):
            self.stale = True
        self._markeredgecolor = ec

    def set_markeredgewidth(self, ew):
        """
        Set the marker edge width in points.

        Parameters
        ----------
        ew : float
        """
        if ew is None:
            ew = rcParams['lines.markeredgewidth']
        if self._markeredgewidth != ew:
            self.stale = True
        self._markeredgewidth = ew

    def set_markerfacecolor(self, fc):
        """
        Set the marker face color.

        Parameters
        ----------
        fc : color
        """
        if fc is None:
            fc = 'auto'
        if np.any(self._markerfacecolor != fc):
            self.stale = True
        self._markerfacecolor = fc

    def set_markerfacecoloralt(self, fc):
        """
        Set the alternate marker face color.

        Parameters
        ----------
        fc : color
        """
        if fc is None:
            fc = 'auto'
        if np.any(self._markerfacecoloralt != fc):
            self.stale = True
        self._markerfacecoloralt = fc

    def set_markersize(self, sz):
        """
        Set the marker size in points.

        Parameters
        ----------
        sz : float
        """
        sz = float(sz)
        if self._markersize != sz:
            self.stale = True
        self._markersize = sz

    def set_xdata(self, x):
        """
        Set the data array for x.

        Parameters
        ----------
        x : 1D array
        """
        self._xorig = x
        self._invalidx = True
        self.stale = True

    def set_ydata(self, y):
        """
        Set the data array for y.

        Parameters
        ----------
        y : 1D array
        """
        self._yorig = y
        self._invalidy = True
        self.stale = True

    def set_dashes(self, seq):
        """
        Set the dash sequence.

        The dash sequence is a sequence of floats of even length describing
        the length of dashes and spaces in points.

        For example, (5, 2, 1, 2) describes a sequence of 5 point and 1 point
        dashes separated by 2 point spaces.

        Parameters
        ----------
        seq : sequence of floats (on/off ink in points) or (None, None)
            If *seq* is empty or ``(None, None)``, the linestyle will be set
            to solid.
        """
        if seq == (None, None) or len(seq) == 0:
            self.set_linestyle('-')
        else:
            self.set_linestyle((0, seq))

    def update_from(self, other):
        """Copy properties from other to self."""
        Artist.update_from(self, other)
        self._linestyle = other._linestyle
        self._linewidth = other._linewidth
        self._color = other._color
        self._markersize = other._markersize
        self._markerfacecolor = other._markerfacecolor
        self._markerfacecoloralt = other._markerfacecoloralt
        self._markeredgecolor = other._markeredgecolor
        self._markeredgewidth = other._markeredgewidth
        self._dashSeq = other._dashSeq
        self._us_dashSeq = other._us_dashSeq
        self._dashOffset = other._dashOffset
        self._us_dashOffset = other._us_dashOffset
        self._dashcapstyle = other._dashcapstyle
        self._dashjoinstyle = other._dashjoinstyle
        self._solidcapstyle = other._solidcapstyle
        self._solidjoinstyle = other._solidjoinstyle

        self._linestyle = other._linestyle
        self._marker = MarkerStyle(other._marker.get_marker(),
                                   other._marker.get_fillstyle())
        self._drawstyle = other._drawstyle

    def set_dash_joinstyle(self, s):
        """
        Set the join style for dashed lines.

        Parameters
        ----------
        s : {'miter', 'round', 'bevel'}
            For examples see :doc:`/gallery/lines_bars_and_markers/joinstyle`.
        """
        s = s.lower()
        cbook._check_in_list(self.validJoin, s=s)
        if self._dashjoinstyle != s:
            self.stale = True
        self._dashjoinstyle = s

    def set_solid_joinstyle(self, s):
        """
        Set the join style for solid lines.

        Parameters
        ----------
        s : {'miter', 'round', 'bevel'}
            For examples see :doc:`/gallery/lines_bars_and_markers/joinstyle`.
        """
        s = s.lower()
        cbook._check_in_list(self.validJoin, s=s)
        if self._solidjoinstyle != s:
            self.stale = True
        self._solidjoinstyle = s

    def get_dash_joinstyle(self):
        """
        Return the join style for dashed lines.

        See also `~.Line2D.set_dash_joinstyle`.
        """
        return self._dashjoinstyle

    def get_solid_joinstyle(self):
        """
        Return the join style for solid lines.

        See also `~.Line2D.set_solid_joinstyle`.
        """
        return self._solidjoinstyle

    def set_dash_capstyle(self, s):
        """
        Set the cap style for dashed lines.

        Parameters
        ----------
        s : {'butt', 'round', 'projecting'}
        """
        s = s.lower()
        cbook._check_in_list(self.validCap, s=s)
        if self._dashcapstyle != s:
            self.stale = True
        self._dashcapstyle = s

    def set_solid_capstyle(self, s):
        """
        Set the cap style for solid lines.

        Parameters
        ----------
        s : {'butt', 'round', 'projecting'}
        """
        s = s.lower()
        cbook._check_in_list(self.validCap, s=s)
        if self._solidcapstyle != s:
            self.stale = True
        self._solidcapstyle = s

    def get_dash_capstyle(self):
        """
        Return the cap style for dashed lines.

        See also `~.Line2D.set_dash_capstyle`.
        """
        return self._dashcapstyle

    def get_solid_capstyle(self):
        """
        Return the cap style for solid lines.

        See also `~.Line2D.set_solid_capstyle`.
        """
        return self._solidcapstyle

    def is_dashed(self):
        """
        Return whether line has a dashed linestyle.

        See also `~.Line2D.set_linestyle`.
        """
        return self._linestyle in ('--', '-.', ':')


class VertexSelector(object):
    """
    Manage the callbacks to maintain a list of selected vertices for
    :class:`matplotlib.lines.Line2D`. Derived classes should override
    :meth:`~matplotlib.lines.VertexSelector.process_selected` to do
    something with the picks.

    Here is an example which highlights the selected verts with red
    circles::

        import numpy as np
        import matplotlib.pyplot as plt
        import matplotlib.lines as lines

        class HighlightSelected(lines.VertexSelector):
            def __init__(self, line, fmt='ro', **kwargs):
                lines.VertexSelector.__init__(self, line)
                self.markers, = self.axes.plot([], [], fmt, **kwargs)

            def process_selected(self, ind, xs, ys):
                self.markers.set_data(xs, ys)
                self.canvas.draw()

        fig, ax = plt.subplots()
        x, y = np.random.rand(2, 30)
        line, = ax.plot(x, y, 'bs-', picker=5)

        selector = HighlightSelected(line)
        plt.show()

    """
    def __init__(self, line):
        """
        Initialize the class with a :class:`matplotlib.lines.Line2D`
        instance.  The line should already be added to some
        :class:`matplotlib.axes.Axes` instance and should have the
        picker property set.
        """
        if line.axes is None:
            raise RuntimeError('You must first add the line to the Axes')

        if line.get_picker() is None:
            raise RuntimeError('You must first set the picker property '
                               'of the line')

        self.axes = line.axes
        self.line = line
        self.canvas = self.axes.figure.canvas
        self.cid = self.canvas.mpl_connect('pick_event', self.onpick)

        self.ind = set()

    def process_selected(self, ind, xs, ys):
        """
        Default "do nothing" implementation of the
        :meth:`process_selected` method.

        *ind* are the indices of the selected vertices.  *xs* and *ys*
        are the coordinates of the selected vertices.
        """
        pass

    def onpick(self, event):
        """When the line is picked, update the set of selected indices."""
        if event.artist is not self.line:
            return
        self.ind ^= set(event.ind)
        ind = sorted(self.ind)
        xdata, ydata = self.line.get_data()
        self.process_selected(ind, xdata[ind], ydata[ind])


lineStyles = Line2D._lineStyles
lineMarkers = MarkerStyle.markers
drawStyles = Line2D.drawStyles
fillStyles = MarkerStyle.fillstyles

docstring.interpd.update(_Line2D_docstr=artist.kwdoc(Line2D))

# You can not set the docstring of an instancemethod,
# but you can on the underlying function.  Go figure.
docstring.dedent_interpd(Line2D.__init__)