I have a draft proposal of the long term goal for what an interface could
look like for drawing arrows between coordinates or nodes.  I based the
design on the tikz manual (http://pgf.sourceforge.net/pgf_CVS.pdf), so it
might help to flip through that to get an idea for the basis of this
design.  I tried to separate the creating of Path objects with the drawing
of paths since it's often really useful when compositing layouts to be able
to do math with with the positions of things before drawing anything.  For
example, when automatically positioning nodes.

I'm not committed to this design; it's just an outline to get feedback.

Best,

Neil

class Axes_(_AxesBase):
    def path(self, path, draw=True, fill=False):
        """
        If draw is not falsy, draws along the path using the draw
        specification.
        If fill is not falsy, fills the closed path using the fill
        specification.

        Parameters
        ----------
        path is a Path object or path commands with which to create one.

        draw is a draw specification:
            either the value True, which indicates some defaults, or else
            False, or else a dictionary with the following keys:
                color
                opacity
                line_width
                line_join
                begin_tip is a Tip object
                tip or end_tip is a Tip object
                dashed is a dash specification

        a dash specification
            either dictionary containing:
                dash_pattern
                    an iterable of numbers specifying the length of the
dashes
                    and gaps in points.  E.g., [2, 3, 4, 3] means on for 2
                    points, off for 3, on for 4, off for 3, i.e.,
dash-dotted.
                dash_phase
                    Shifts the start of the dash pattern by dash_phase
points.
            or a string, one of:
                'solid'
                'dotted', 'densely dotted', 'loosely dotted'
                'dashed', 'densely dashed', 'loosely dashed'
                'dash dot', 'densely dash dot', 'loosely dash dot'
                'dash dot dot', 'densely dash dot dot', 'loosely dash dot
dot'

        fill is a fill specification:
            TODO
        """

class Path:
    def __init__(self, path_commands):
        """
        path_commands is either
            a coordinate (representing a move to in the first position, or a
            line to in any other position)
            MoveTo(coordinate)
            LineTo(coordinate_or_node, draw=None)
            CurveTo(coordinate_or_node, control_points, draw=None)
            ClosePolygon()

            optional draw commands override the draw specification of the
whole
            path within that edge.

            a coordinate is either an (x, y) pair, or a Coordinate object.
            a node is a Node object.
        """

    def at_position(self, fraction=0.5):
        """
        Returns a coordinate fraction of the way along the line.
        fraction can be one of 'at end', 'very near end', 'near end',
        'midway', 'near start', 'very near start', 'at start'
        """

    def node_at(node, fraction=0.5, location, ...)
        """
        Sets the node's position so that it sits flush to the path.

        Parameters
        ----------
        location :
            Could be 'above', 'below', 'on', or a number, which is the
number
            of points away from the path to place the node.
        """

    def pin_node(node, pin_distance, draw=draw_specification):
        pass


class Coordinate:
    @property
    def coordinate(self):
        return (self.x, self.y)

    def node_at(self, node, angle):
        """
        Places the node so that it is in the direction angle from the
        coordinate.  E.g.,
        angle=pi/2, or angle='above' places the node so that the coordinate
is
        touching the center-bottom of the node.
        angle could be 'above', 'below', 'left', 'right', 'above left', etc.
        """

class Node:
    """
    Available Node objects:
        Rectangle, Circle
    """
    @property
    def center(self):
        return (self.x, self.y)

    def node_at(self, node, angle):
        """
        Places the node so that it is in the direction angle from the
        coordinate.  The node could be an arrowhead for example.
        """

    def convex_hulls(self):
        """
        Returns a list of convex hulls.  The convex hulls are used when
        position one node or arrowhead flush with another using the
        separating axis algorithm.
        """

class Tip:
    """
    Available Tip objects:
        ButtCap (no tip, the default)
        RectangleCap, TriangleCap, RoundCap
        ArcBarb, Bar, Bracket, Hooks, Parenthesis,
        StraightBarb, TeeBarb
        Circle, Diamond, Ellipse, Kite, Arrow,
        Rectangle, Square, Stealth, Triangle,
        TurnedSquare
        TipCombination (accepts multiple tips and merges them)
    """
    def __init__(self, draw=None, fill=True, reversed_=False):
        pass

    def convex_hulls(self, line_width):
        """
        Returns a list of convex hulls for use with placement
        whereby the arrow faces right starting at the origin.
        """

    def transmute(self, line_width):
        """
        Returns a pair of lists (draw_path, fill_path).
        """

    @property
    def draw_specification(self):
        """
        is a draw specification, or None to use the parent line's
        """
    def fill_specification(self):
        """
        Is a fill specification, or True to use defaults based
        on the parent line's draw color, or False to use an open fill.
        """

-----

Usage:

# draw an arrow from point to point.
ax.path([(x, y), (x2, y2)], draw={'tip': Arrow()})

# Create a path.
p = Path([(x, y), (x2, y2)])

# Create a node along the path.
n = p.node_at(Label("some label"))

# Draw the path using an arrow, and the node.
ax.path(p, draw={'tip': Arrow()})
ax.node(n)


On Wed, May 13, 2015 at 11:27 PM, Thomas Caswell <tcasw...@gmail.com> wrote:

> Sorry, I may have been being a bit dramatic
>
> In mpl.patches: Arrow, FancyArrow, YAArrow, FancyArrowPatch,
> ConnectionPatch  + annotation related artists + some classes in axisartist
> which now that I look at them are not really general purpose arrow tools.
> I had not been counting quiver (or barbs) or sankey.
>
> Neil: Those are all great questions!  Much of the arrow related code was
> written by Joe-Joon Lee who (by having read a good deal of his code) has a
> habit of writing very power but very opaque python.
>
> I believe that the line join style is controlled by `joinstyle` on the
> graphics context and it is up to the backends to implement that correctly.
>
> Tom
>
> On Wed, May 13, 2015 at 10:58 PM Neil Girdhar <mistersh...@gmail.com>
> wrote:
>
>> Okay, I'm looking at this in more detail and there may be some design
>> concerns:
>>
>> The arrow placement is decided without asking the arrow any questions,
>> such as its bounding box.  Instead, the arrow should return a bounding box
>> and then the line should retreat until the bounding box no longer
>> intersects the target node.  Then the arrow should be placed.  This doesn't
>> matter so much when you have a simple arrow like this: ---->, but it's a
>> big deal when you have an arrow like ----| .  In this case, the sides of
>> the arrow risk intersecting with the target node.
>>
>> I'm not keen on implementing every arrow three times: <-, ->, <->.  This
>> really should be handled by the code placing the arrows for many reasons:
>> 1. It should also be possible to have a different arrowhead at either end
>> of the line.
>> 2. It should be possible to stack the arrows, for example having two
>> heads one after another (to represent two kinds of relationships).  This is
>> another reason to be able to ask the arrowhead its length and so on.
>>
>> I don't understand the "monolithic" keyword.  How can the arrow draw the
>> line as well when it doesn't know the line style, color and so on?
>>
>> I think I like the design of the transmute function.  I'm curious:
>> ultimately, where does the mutation_size come from?  Is it a global scale
>> applied to the figure, or is it based on the linewidth, or?
>>
>> When you emit a set of lines, how are they joined?  If I draw a line
>> having linewidth 0.1 from the origin to (1, 0), and back to (0, 0.5), what
>> happens at the tip?  Are two rectangles drawn (each having width 0.1, but
>> oriented differently)?  Is a bevel created?  A miter? Or is the tip
>> rounded?  Can this be controlled?  See page 166 of the manual I sent
>> earlier (search for tikz/line join).
>>
>> Best,
>>
>> Neil
>>
>> On Wed, May 13, 2015 at 10:14 PM, Neil Girdhar <mistersh...@gmail.com>
>>  wrote:
>>
>>> Thanks, it works!
>>>
>>> I needed to add:
>>>
>>> import matplotlib.patches
>>>
>>> to one file and
>>>
>>> plt.show()
>>>
>>> to the other.
>>>
>>> Any word on the locations in the code of the seven arrow drawing methods?
>>>
>>> I've located the arrow drawing code in tikz, and so I can start porting
>>> it over.  I'm curious, do we know the linewidth of the edge being decorated
>>> by the arrow?  To make arrows scale nicely, most of the arrow dimensions
>>> are given in two pieces: an absolute value (in points for example) and a
>>> line width factor.  The dimension is the absolute value plus the line width
>>> factor times the line width.  The TikZ manual explains: "This makes it easy
>>> to vary the size of an arrow tip in accordance with the line width –
>>> usually a very good idea since thicker lines will need thicker arrow tips."
>>>
>>> Best,
>>>
>>> Neil
>>>
>>> On Wed, May 13, 2015 at 10:07 PM, Benjamin Reedlunn <breed...@gmail.com>
>>>  wrote:
>>>
>>>> Neil,
>>>>
>>>> I have attached code to draw the arrowhead.
>>>>
>>>> -Ben
>>>>
>>>>
>>>>
>>>> On May 13, 2015, at 7:44 PM, Neil Girdhar <mistersh...@gmail.com>
>>>> wrote:
>>>>
>>>> Do you have the code that you used to draw the arrowhead?  I'm up to
>>>> date now on the development workflow (
>>>> http://matplotlib.org/devel/gitwash/development_workflow.html), so I'm
>>>> ready to start working.
>>>>
>>>> Thanks,
>>>>
>>>> Neil
>>>>
>>>> On Wed, May 13, 2015 at 9:10 PM, Benjamin Reedlunn <breed...@gmail.com>
>>>>  wrote:
>>>>
>>>>> Yes, I fully agree that we need to unify the many different ways to
>>>>> draw arrows.
>>>>>
>>>>> Neil, in case an example would be helpful for you, I have attached a
>>>>> module that includes a custom arrowhead class.  The arrowhead class works
>>>>> with the with the ax.annotate() method.  (I like the annotate method
>>>>> because it allows me to easily mix and match coordinate systems for arrow
>>>>> placement.)  As you can see in the attached pdf, the custom arrowhead
>>>>> doesn't include fancy Bezier curves, but that could be added.
>>>>>
>>>>> -Ben
>>>>>
>>>>>
>>>>>
>>>>> On May 13, 2015, at 2:54 PM, Thomas Caswell <tcasw...@gmail.com>
>>>>> wrote:
>>>>>
>>>>> The other thing that should be done is to unify the (I think 7?!?)
>>>>> unique ways to draw arrows in mpl.
>>>>>
>>>>> On Wed, May 13, 2015 at 4:52 PM Neil Girdhar <mistersh...@gmail.com>
>>>>> wrote:
>>>>>
>>>>>> Yes, I just noticed that as well.  That's how the tikz pgf code looks
>>>>>> (a sequence of line_to and curve_to commands and so on) so it should be
>>>>>> easy to port over the various shapes.
>>>>>>
>>>>>> On Wed, May 13, 2015 at 4:49 PM, Eric Firing <efir...@hawaii.edu>
>>>>>>  wrote:
>>>>>>
>>>>>>> On 2015/05/13 10:12 AM, Neil Girdhar wrote:
>>>>>>>
>>>>>>>> If you want to make arrowheads look at all decent, they really need
>>>>>>>> to
>>>>>>>> be enclosed in Bezier curves.  See the diagram here:
>>>>>>>>
>>>>>>>
>>>>>>> Mpl paths support Bezier curves.
>>>>>>> http://matplotlib.org/api/path_api.html?highlight=bezier
>>>>>>>
>>>>>>>
>>>>>>>>
>>>>>>>> http://tex.stackexchange.com/questions/150289/how-do-you-accomplish-stealth-with-the-new-arrows-meta/230965#230965
>>>>>>>>
>>>>>>>> The first two look like garbage.  The last one is the only one that
>>>>>>>> looks good imho.
>>>>>>>>
>>>>>>>
>>>>>>> That depends on the application, and the observer.
>>>>>>
>>>>>>
>>>>>> Sure, but I may as well port them all of the tikz arrowheads over
>>>>>> since most of the work would be figuring out how to do it.
>>>>>>
>>>>>>
>>>>>>>
>>>>>>>
>>>>>>> Eric
>>>>>>>
>>>>>>>
>>>>>>>> Best,
>>>>>>>>
>>>>>>>> Neil
>>>>>>>>
>>>>>>>> On Wed, May 13, 2015 at 4:09 PM, Eric Firing <efir...@hawaii.edu
>>>>>>>> <mailto:efir...@hawaii.edu>> wrote:
>>>>>>>>
>>>>>>>>     On 2015/05/13 9:36 AM, Neil Girdhar wrote:
>>>>>>>>
>>>>>>>>         I don't know matplotlib well enough (yet) to know what the
>>>>>>>>         change would
>>>>>>>>         consist of.
>>>>>>>>
>>>>>>>>         I suggest you take a look at the beautiful tikz manual:
>>>>>>>>         http://pgf.sourceforge.net/pgf_CVS.pdf
>>>>>>>>
>>>>>>>>
>>>>>>>>     Very helpful, thank you.
>>>>>>>>
>>>>>>>>
>>>>>>>>         The arrows.meta on page 201–212 are really well-designed and
>>>>>>>>         beautiful.
>>>>>>>>
>>>>>>>>         Compare this with matplotlib's custom arrows:
>>>>>>>>
>>>>>>>> http://stackoverflow.com/questions/16968007/custom-arrow-style-for-matplotlib-pyplot-annotate
>>>>>>>>
>>>>>>>>         How do I make tikz's arrowheads available for all backends?
>>>>>>>>
>>>>>>>>
>>>>>>>>     My guess offhand is that this is a matter of using the mpl
>>>>>>>> API.  I
>>>>>>>>     don't think we would want to add all of these types and options
>>>>>>>> to
>>>>>>>>     the mpl core; but a toolkit might be ideal for this.  The mpl
>>>>>>>> API,
>>>>>>>>     which generates the same results for all backends, is quite
>>>>>>>> complete
>>>>>>>>     and flexible.  Things like arrowheads are Patch objects, and
>>>>>>>> you can
>>>>>>>>     specify any path you want.  The main trick is figuring out how
>>>>>>>> to
>>>>>>>>     handle transforms--what kind of coordinates should the path be
>>>>>>>>     specifying?  How should things scale as a figure is reshaped and
>>>>>>>>     resized?
>>>>>>>>
>>>>>>>>     For many of these types you could also use mpl Line2D objects,
>>>>>>>> for
>>>>>>>>     which several properties including cap style can be specified.
>>>>>>>> Not
>>>>>>>>     all of the TikZ options would be available, but perhaps enough.
>>>>>>>>
>>>>>>>>     Eric
>>>>>>>>
>>>>>>>>
>>>>>>>>
>>>>>>>
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>>>>>>
>>>>>
>>>>> ------------------------------------------------------------------------------
>>>>> One dashboard for servers and applications across
>>>>> Physical-Virtual-Cloud
>>>>> Widest out-of-the-box monitoring support with 50+ applications
>>>>> Performance metrics, stats and reports that give you Actionable
>>>>> Insights
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>>>>>
>>>>>
>>>>>
>>>>
>>>>
>>>>
>>>
>> ​
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