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�:�a_[�@sdZddlZddlZddlmZmZddlmZddl	m
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Streamline plotting for 2D vector fields.

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    Draw streamlines of a vector flow.

    Parameters
    ----------
    x, y : 1D/2D arrays
        Evenly spaced strictly increasing arrays to make a grid.  If 2D, all
        rows of *x* must be equal and all columns of *y* must be equal; i.e.,
        they must be as if generated by ``np.meshgrid(x_1d, y_1d)``.
    u, v : 2D arrays
        *x* and *y*-velocities. The number of rows and columns must match
        the length of *y* and *x*, respectively.
    density : float or (float, float)
        Controls the closeness of streamlines. When ``density = 1``, the domain
        is divided into a 30x30 grid. *density* linearly scales this grid.
        Each cell in the grid can have, at most, one traversing streamline.
        For different densities in each direction, use a tuple
        (density_x, density_y).
    linewidth : float or 2D array
        The width of the stream lines. With a 2D array the line width can be
        varied across the grid. The array must have the same shape as *u*
        and *v*.
    color : color or 2D array
        The streamline color. If given an array, its values are converted to
        colors using *cmap* and *norm*.  The array must have the same shape
        as *u* and *v*.
    cmap : `~matplotlib.colors.Colormap`
        Colormap used to plot streamlines and arrows. This is only used if
        *color* is an array.
    norm : `~matplotlib.colors.Normalize`
        Normalize object used to scale luminance data to 0, 1. If ``None``,
        stretch (min, max) to (0, 1). This is only used if *color* is an array.
    arrowsize : float
        Scaling factor for the arrow size.
    arrowstyle : str
        Arrow style specification.
        See `~matplotlib.patches.FancyArrowPatch`.
    minlength : float
        Minimum length of streamline in axes coordinates.
    start_points : Nx2 array
        Coordinates of starting points for the streamlines in data coordinates
        (the same coordinates as the *x* and *y* arrays).
    zorder : int
        The zorder of the stream lines and arrows.
        Artists with lower zorder values are drawn first.
    maxlength : float
        Maximum length of streamline in axes coordinates.
    integration_direction : {'forward', 'backward', 'both'}, default: 'both'
        Integrate the streamline in forward, backward or both directions.
    data : indexable object, optional
        DATA_PARAMETER_PLACEHOLDER

    Returns
    -------
    StreamplotSet
        Container object with attributes

        - ``lines``: `.LineCollection` of streamlines

        - ``arrows``: `.PatchCollection` containing `.FancyArrowPatch`
          objects representing the arrows half-way along stream lines.

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       on the trajectory we need a small timestep, so a lower order
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       In fact, for cases where the user inputs
       data smaller or of similar grid size to the mask grid, the higher
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    2. For high resolution input data (i.e. beyond the mask
       resolution), we must reduce the timestep. Therefore, an adaptive
       timestep is more suited to the problem as this would be very hard
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    Yield starting points for streamlines.

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