| ================================= | 
 | :mod:`turtle` --- Turtle graphics | 
 | ================================= | 
 |  | 
 | .. module:: turtle | 
 |    :synopsis: An educational framework for simple graphics applications | 
 | .. sectionauthor:: Gregor Lingl <gregor.lingl@aon.at> | 
 |  | 
 | .. testsetup:: default | 
 |  | 
 |    from turtle import * | 
 |    turtle = Turtle() | 
 |  | 
 | Introduction | 
 | ============ | 
 |  | 
 | Turtle graphics is a popular way for introducing programming to kids.  It was | 
 | part of the original Logo programming language developed by Wally Feurzig and | 
 | Seymour Papert in 1966. | 
 |  | 
 | Imagine a robotic turtle starting at (0, 0) in the x-y plane.  Give it the | 
 | command ``turtle.forward(15)``, and it moves (on-screen!) 15 pixels in the | 
 | direction it is facing, drawing a line as it moves.  Give it the command | 
 | ``turtle.left(25)``, and it rotates in-place 25 degrees clockwise. | 
 |  | 
 | .. sidebar:: Turtle star | 
 |  | 
 |    Turtle can draw intricate shapes using programs that repeat simple | 
 |    moves. | 
 |  | 
 |    .. image:: turtle-star.* | 
 |       :align: center | 
 |  | 
 |    .. literalinclude:: ../includes/turtle-star.py | 
 |  | 
 | By combining together these and similar commands, intricate shapes and pictures | 
 | can easily be drawn. | 
 |  | 
 | The :mod:`turtle` module is an extended reimplementation of the same-named | 
 | module from the Python standard distribution up to version Python 2.5. | 
 |  | 
 | It tries to keep the merits of the old turtle module and to be (nearly) 100% | 
 | compatible with it.  This means in the first place to enable the learning | 
 | programmer to use all the commands, classes and methods interactively when using | 
 | the module from within IDLE run with the ``-n`` switch. | 
 |  | 
 | The turtle module provides turtle graphics primitives, in both object-oriented | 
 | and procedure-oriented ways.  Because it uses :mod:`tkinter` for the underlying | 
 | graphics, it needs a version of Python installed with Tk support. | 
 |  | 
 | The object-oriented interface uses essentially two+two classes: | 
 |  | 
 | 1. The :class:`TurtleScreen` class defines graphics windows as a playground for | 
 |    the drawing turtles.  Its constructor needs a :class:`tkinter.Canvas` or a | 
 |    :class:`ScrolledCanvas` as argument.  It should be used when :mod:`turtle` is | 
 |    used as part of some application. | 
 |  | 
 |    The function :func:`Screen` returns a singleton object of a | 
 |    :class:`TurtleScreen` subclass. This function should be used when | 
 |    :mod:`turtle` is used as a standalone tool for doing graphics. | 
 |    As a singleton object, inheriting from its class is not possible. | 
 |  | 
 |    All methods of TurtleScreen/Screen also exist as functions, i.e. as part of | 
 |    the procedure-oriented interface. | 
 |  | 
 | 2. :class:`RawTurtle` (alias: :class:`RawPen`) defines Turtle objects which draw | 
 |    on a :class:`TurtleScreen`.  Its constructor needs a Canvas, ScrolledCanvas | 
 |    or TurtleScreen as argument, so the RawTurtle objects know where to draw. | 
 |  | 
 |    Derived from RawTurtle is the subclass :class:`Turtle` (alias: :class:`Pen`), | 
 |    which draws on "the" :class:`Screen` instance which is automatically | 
 |    created, if not already present. | 
 |  | 
 |    All methods of RawTurtle/Turtle also exist as functions, i.e. part of the | 
 |    procedure-oriented interface. | 
 |  | 
 | The procedural interface provides functions which are derived from the methods | 
 | of the classes :class:`Screen` and :class:`Turtle`.  They have the same names as | 
 | the corresponding methods.  A screen object is automatically created whenever a | 
 | function derived from a Screen method is called.  An (unnamed) turtle object is | 
 | automatically created whenever any of the functions derived from a Turtle method | 
 | is called. | 
 |  | 
 | To use multiple turtles on a screen one has to use the object-oriented interface. | 
 |  | 
 | .. note:: | 
 |    In the following documentation the argument list for functions is given. | 
 |    Methods, of course, have the additional first argument *self* which is | 
 |    omitted here. | 
 |  | 
 |  | 
 | Overview of available Turtle and Screen methods | 
 | ================================================= | 
 |  | 
 | Turtle methods | 
 | -------------- | 
 |  | 
 | Turtle motion | 
 |    Move and draw | 
 |       | :func:`forward` | :func:`fd` | 
 |       | :func:`backward` | :func:`bk` | :func:`back` | 
 |       | :func:`right` | :func:`rt` | 
 |       | :func:`left` | :func:`lt` | 
 |       | :func:`goto` | :func:`setpos` | :func:`setposition` | 
 |       | :func:`setx` | 
 |       | :func:`sety` | 
 |       | :func:`setheading` | :func:`seth` | 
 |       | :func:`home` | 
 |       | :func:`circle` | 
 |       | :func:`dot` | 
 |       | :func:`stamp` | 
 |       | :func:`clearstamp` | 
 |       | :func:`clearstamps` | 
 |       | :func:`undo` | 
 |       | :func:`speed` | 
 |  | 
 |    Tell Turtle's state | 
 |       | :func:`position` | :func:`pos` | 
 |       | :func:`towards` | 
 |       | :func:`xcor` | 
 |       | :func:`ycor` | 
 |       | :func:`heading` | 
 |       | :func:`distance` | 
 |  | 
 |    Setting and measurement | 
 |       | :func:`degrees` | 
 |       | :func:`radians` | 
 |  | 
 | Pen control | 
 |    Drawing state | 
 |       | :func:`pendown` | :func:`pd` | :func:`down` | 
 |       | :func:`penup` | :func:`pu` | :func:`up` | 
 |       | :func:`pensize` | :func:`width` | 
 |       | :func:`pen` | 
 |       | :func:`isdown` | 
 |  | 
 |    Color control | 
 |       | :func:`color` | 
 |       | :func:`pencolor` | 
 |       | :func:`fillcolor` | 
 |  | 
 |    Filling | 
 |       | :func:`filling` | 
 |       | :func:`begin_fill` | 
 |       | :func:`end_fill` | 
 |  | 
 |    More drawing control | 
 |       | :func:`reset` | 
 |       | :func:`clear` | 
 |       | :func:`write` | 
 |  | 
 | Turtle state | 
 |    Visibility | 
 |       | :func:`showturtle` | :func:`st` | 
 |       | :func:`hideturtle` | :func:`ht` | 
 |       | :func:`isvisible` | 
 |  | 
 |    Appearance | 
 |       | :func:`shape` | 
 |       | :func:`resizemode` | 
 |       | :func:`shapesize` | :func:`turtlesize` | 
 |       | :func:`shearfactor` | 
 |       | :func:`settiltangle` | 
 |       | :func:`tiltangle` | 
 |       | :func:`tilt` | 
 |       | :func:`shapetransform` | 
 |       | :func:`get_shapepoly` | 
 |  | 
 | Using events | 
 |    | :func:`onclick` | 
 |    | :func:`onrelease` | 
 |    | :func:`ondrag` | 
 |  | 
 | Special Turtle methods | 
 |    | :func:`begin_poly` | 
 |    | :func:`end_poly` | 
 |    | :func:`get_poly` | 
 |    | :func:`clone` | 
 |    | :func:`getturtle` | :func:`getpen` | 
 |    | :func:`getscreen` | 
 |    | :func:`setundobuffer` | 
 |    | :func:`undobufferentries` | 
 |  | 
 |  | 
 | Methods of TurtleScreen/Screen | 
 | ------------------------------ | 
 |  | 
 | Window control | 
 |    | :func:`bgcolor` | 
 |    | :func:`bgpic` | 
 |    | :func:`clear` | :func:`clearscreen` | 
 |    | :func:`reset` | :func:`resetscreen` | 
 |    | :func:`screensize` | 
 |    | :func:`setworldcoordinates` | 
 |  | 
 | Animation control | 
 |    | :func:`delay` | 
 |    | :func:`tracer` | 
 |    | :func:`update` | 
 |  | 
 | Using screen events | 
 |    | :func:`listen` | 
 |    | :func:`onkey` | :func:`onkeyrelease` | 
 |    | :func:`onkeypress` | 
 |    | :func:`onclick` | :func:`onscreenclick` | 
 |    | :func:`ontimer` | 
 |    | :func:`mainloop` | 
 |  | 
 | Settings and special methods | 
 |    | :func:`mode` | 
 |    | :func:`colormode` | 
 |    | :func:`getcanvas` | 
 |    | :func:`getshapes` | 
 |    | :func:`register_shape` | :func:`addshape` | 
 |    | :func:`turtles` | 
 |    | :func:`window_height` | 
 |    | :func:`window_width` | 
 |  | 
 | Input methods | 
 |    | :func:`textinput` | 
 |    | :func:`numinput` | 
 |  | 
 | Methods specific to Screen | 
 |    | :func:`bye` | 
 |    | :func:`exitonclick` | 
 |    | :func:`setup` | 
 |    | :func:`title` | 
 |  | 
 |  | 
 | Methods of RawTurtle/Turtle and corresponding functions | 
 | ======================================================= | 
 |  | 
 | Most of the examples in this section refer to a Turtle instance called | 
 | ``turtle``. | 
 |  | 
 | Turtle motion | 
 | ------------- | 
 |  | 
 | .. function:: forward(distance) | 
 |               fd(distance) | 
 |  | 
 |    :param distance: a number (integer or float) | 
 |  | 
 |    Move the turtle forward by the specified *distance*, in the direction the | 
 |    turtle is headed. | 
 |  | 
 |    .. doctest:: | 
 |  | 
 |       >>> turtle.position() | 
 |       (0.00,0.00) | 
 |       >>> turtle.forward(25) | 
 |       >>> turtle.position() | 
 |       (25.00,0.00) | 
 |       >>> turtle.forward(-75) | 
 |       >>> turtle.position() | 
 |       (-50.00,0.00) | 
 |  | 
 |  | 
 | .. function:: back(distance) | 
 |               bk(distance) | 
 |               backward(distance) | 
 |  | 
 |    :param distance: a number | 
 |  | 
 |    Move the turtle backward by *distance*, opposite to the direction the | 
 |    turtle is headed.  Do not change the turtle's heading. | 
 |  | 
 |    .. doctest:: | 
 |       :hide: | 
 |  | 
 |       >>> turtle.goto(0, 0) | 
 |  | 
 |    .. doctest:: | 
 |  | 
 |       >>> turtle.position() | 
 |       (0.00,0.00) | 
 |       >>> turtle.backward(30) | 
 |       >>> turtle.position() | 
 |       (-30.00,0.00) | 
 |  | 
 |  | 
 | .. function:: right(angle) | 
 |               rt(angle) | 
 |  | 
 |    :param angle: a number (integer or float) | 
 |  | 
 |    Turn turtle right by *angle* units.  (Units are by default degrees, but | 
 |    can be set via the :func:`degrees` and :func:`radians` functions.)  Angle | 
 |    orientation depends on the turtle mode, see :func:`mode`. | 
 |  | 
 |    .. doctest:: | 
 |       :hide: | 
 |  | 
 |       >>> turtle.setheading(22) | 
 |  | 
 |    .. doctest:: | 
 |  | 
 |       >>> turtle.heading() | 
 |       22.0 | 
 |       >>> turtle.right(45) | 
 |       >>> turtle.heading() | 
 |       337.0 | 
 |  | 
 |  | 
 | .. function:: left(angle) | 
 |               lt(angle) | 
 |  | 
 |    :param angle: a number (integer or float) | 
 |  | 
 |    Turn turtle left by *angle* units.  (Units are by default degrees, but | 
 |    can be set via the :func:`degrees` and :func:`radians` functions.)  Angle | 
 |    orientation depends on the turtle mode, see :func:`mode`. | 
 |  | 
 |    .. doctest:: | 
 |       :hide: | 
 |  | 
 |       >>> turtle.setheading(22) | 
 |  | 
 |    .. doctest:: | 
 |  | 
 |       >>> turtle.heading() | 
 |       22.0 | 
 |       >>> turtle.left(45) | 
 |       >>> turtle.heading() | 
 |       67.0 | 
 |  | 
 |  | 
 | .. function:: goto(x, y=None) | 
 |               setpos(x, y=None) | 
 |               setposition(x, y=None) | 
 |  | 
 |    :param x: a number or a pair/vector of numbers | 
 |    :param y: a number or ``None`` | 
 |  | 
 |    If *y* is ``None``, *x* must be a pair of coordinates or a :class:`Vec2D` | 
 |    (e.g. as returned by :func:`pos`). | 
 |  | 
 |    Move turtle to an absolute position.  If the pen is down, draw line.  Do | 
 |    not change the turtle's orientation. | 
 |  | 
 |    .. doctest:: | 
 |       :hide: | 
 |  | 
 |       >>> turtle.goto(0, 0) | 
 |  | 
 |    .. doctest:: | 
 |  | 
 |        >>> tp = turtle.pos() | 
 |        >>> tp | 
 |        (0.00,0.00) | 
 |        >>> turtle.setpos(60,30) | 
 |        >>> turtle.pos() | 
 |        (60.00,30.00) | 
 |        >>> turtle.setpos((20,80)) | 
 |        >>> turtle.pos() | 
 |        (20.00,80.00) | 
 |        >>> turtle.setpos(tp) | 
 |        >>> turtle.pos() | 
 |        (0.00,0.00) | 
 |  | 
 |  | 
 | .. function:: setx(x) | 
 |  | 
 |    :param x: a number (integer or float) | 
 |  | 
 |    Set the turtle's first coordinate to *x*, leave second coordinate | 
 |    unchanged. | 
 |  | 
 |    .. doctest:: | 
 |       :hide: | 
 |  | 
 |       >>> turtle.goto(0, 240) | 
 |  | 
 |    .. doctest:: | 
 |  | 
 |       >>> turtle.position() | 
 |       (0.00,240.00) | 
 |       >>> turtle.setx(10) | 
 |       >>> turtle.position() | 
 |       (10.00,240.00) | 
 |  | 
 |  | 
 | .. function:: sety(y) | 
 |  | 
 |    :param y: a number (integer or float) | 
 |  | 
 |    Set the turtle's second coordinate to *y*, leave first coordinate unchanged. | 
 |  | 
 |    .. doctest:: | 
 |       :hide: | 
 |  | 
 |       >>> turtle.goto(0, 40) | 
 |  | 
 |    .. doctest:: | 
 |  | 
 |       >>> turtle.position() | 
 |       (0.00,40.00) | 
 |       >>> turtle.sety(-10) | 
 |       >>> turtle.position() | 
 |       (0.00,-10.00) | 
 |  | 
 |  | 
 | .. function:: setheading(to_angle) | 
 |               seth(to_angle) | 
 |  | 
 |    :param to_angle: a number (integer or float) | 
 |  | 
 |    Set the orientation of the turtle to *to_angle*.  Here are some common | 
 |    directions in degrees: | 
 |  | 
 |    =================== ==================== | 
 |     standard mode           logo mode | 
 |    =================== ==================== | 
 |       0 - east                0 - north | 
 |      90 - north              90 - east | 
 |     180 - west              180 - south | 
 |     270 - south             270 - west | 
 |    =================== ==================== | 
 |  | 
 |    .. doctest:: | 
 |  | 
 |       >>> turtle.setheading(90) | 
 |       >>> turtle.heading() | 
 |       90.0 | 
 |  | 
 |  | 
 | .. function:: home() | 
 |  | 
 |    Move turtle to the origin -- coordinates (0,0) -- and set its heading to | 
 |    its start-orientation (which depends on the mode, see :func:`mode`). | 
 |  | 
 |    .. doctest:: | 
 |       :hide: | 
 |  | 
 |       >>> turtle.setheading(90) | 
 |       >>> turtle.goto(0, -10) | 
 |  | 
 |    .. doctest:: | 
 |  | 
 |       >>> turtle.heading() | 
 |       90.0 | 
 |       >>> turtle.position() | 
 |       (0.00,-10.00) | 
 |       >>> turtle.home() | 
 |       >>> turtle.position() | 
 |       (0.00,0.00) | 
 |       >>> turtle.heading() | 
 |       0.0 | 
 |  | 
 |  | 
 | .. function:: circle(radius, extent=None, steps=None) | 
 |  | 
 |    :param radius: a number | 
 |    :param extent: a number (or ``None``) | 
 |    :param steps: an integer (or ``None``) | 
 |  | 
 |    Draw a circle with given *radius*.  The center is *radius* units left of | 
 |    the turtle; *extent* -- an angle -- determines which part of the circle | 
 |    is drawn.  If *extent* is not given, draw the entire circle.  If *extent* | 
 |    is not a full circle, one endpoint of the arc is the current pen | 
 |    position.  Draw the arc in counterclockwise direction if *radius* is | 
 |    positive, otherwise in clockwise direction.  Finally the direction of the | 
 |    turtle is changed by the amount of *extent*. | 
 |  | 
 |    As the circle is approximated by an inscribed regular polygon, *steps* | 
 |    determines the number of steps to use.  If not given, it will be | 
 |    calculated automatically.  May be used to draw regular polygons. | 
 |  | 
 |    .. doctest:: | 
 |  | 
 |       >>> turtle.home() | 
 |       >>> turtle.position() | 
 |       (0.00,0.00) | 
 |       >>> turtle.heading() | 
 |       0.0 | 
 |       >>> turtle.circle(50) | 
 |       >>> turtle.position() | 
 |       (-0.00,0.00) | 
 |       >>> turtle.heading() | 
 |       0.0 | 
 |       >>> turtle.circle(120, 180)  # draw a semicircle | 
 |       >>> turtle.position() | 
 |       (0.00,240.00) | 
 |       >>> turtle.heading() | 
 |       180.0 | 
 |  | 
 |  | 
 | .. function:: dot(size=None, *color) | 
 |  | 
 |    :param size: an integer >= 1 (if given) | 
 |    :param color: a colorstring or a numeric color tuple | 
 |  | 
 |    Draw a circular dot with diameter *size*, using *color*.  If *size* is | 
 |    not given, the maximum of pensize+4 and 2*pensize is used. | 
 |  | 
 |  | 
 |    .. doctest:: | 
 |  | 
 |       >>> turtle.home() | 
 |       >>> turtle.dot() | 
 |       >>> turtle.fd(50); turtle.dot(20, "blue"); turtle.fd(50) | 
 |       >>> turtle.position() | 
 |       (100.00,-0.00) | 
 |       >>> turtle.heading() | 
 |       0.0 | 
 |  | 
 |  | 
 | .. function:: stamp() | 
 |  | 
 |    Stamp a copy of the turtle shape onto the canvas at the current turtle | 
 |    position.  Return a stamp_id for that stamp, which can be used to delete | 
 |    it by calling ``clearstamp(stamp_id)``. | 
 |  | 
 |    .. doctest:: | 
 |  | 
 |       >>> turtle.color("blue") | 
 |       >>> turtle.stamp() | 
 |       11 | 
 |       >>> turtle.fd(50) | 
 |  | 
 |  | 
 | .. function:: clearstamp(stampid) | 
 |  | 
 |    :param stampid: an integer, must be return value of previous | 
 |                    :func:`stamp` call | 
 |  | 
 |    Delete stamp with given *stampid*. | 
 |  | 
 |    .. doctest:: | 
 |  | 
 |       >>> turtle.position() | 
 |       (150.00,-0.00) | 
 |       >>> turtle.color("blue") | 
 |       >>> astamp = turtle.stamp() | 
 |       >>> turtle.fd(50) | 
 |       >>> turtle.position() | 
 |       (200.00,-0.00) | 
 |       >>> turtle.clearstamp(astamp) | 
 |       >>> turtle.position() | 
 |       (200.00,-0.00) | 
 |  | 
 |  | 
 | .. function:: clearstamps(n=None) | 
 |  | 
 |    :param n: an integer (or ``None``) | 
 |  | 
 |    Delete all or first/last *n* of turtle's stamps.  If *n* is None, delete | 
 |    all stamps, if *n* > 0 delete first *n* stamps, else if *n* < 0 delete | 
 |    last *n* stamps. | 
 |  | 
 |    .. doctest:: | 
 |  | 
 |       >>> for i in range(8): | 
 |       ...     turtle.stamp(); turtle.fd(30) | 
 |       13 | 
 |       14 | 
 |       15 | 
 |       16 | 
 |       17 | 
 |       18 | 
 |       19 | 
 |       20 | 
 |       >>> turtle.clearstamps(2) | 
 |       >>> turtle.clearstamps(-2) | 
 |       >>> turtle.clearstamps() | 
 |  | 
 |  | 
 | .. function:: undo() | 
 |  | 
 |    Undo (repeatedly) the last turtle action(s).  Number of available | 
 |    undo actions is determined by the size of the undobuffer. | 
 |  | 
 |    .. doctest:: | 
 |  | 
 |       >>> for i in range(4): | 
 |       ...     turtle.fd(50); turtle.lt(80) | 
 |       ... | 
 |       >>> for i in range(8): | 
 |       ...     turtle.undo() | 
 |  | 
 |  | 
 | .. function:: speed(speed=None) | 
 |  | 
 |    :param speed: an integer in the range 0..10 or a speedstring (see below) | 
 |  | 
 |    Set the turtle's speed to an integer value in the range 0..10.  If no | 
 |    argument is given, return current speed. | 
 |  | 
 |    If input is a number greater than 10 or smaller than 0.5, speed is set | 
 |    to 0.  Speedstrings are mapped to speedvalues as follows: | 
 |  | 
 |    * "fastest":  0 | 
 |    * "fast":  10 | 
 |    * "normal":  6 | 
 |    * "slow":  3 | 
 |    * "slowest":  1 | 
 |  | 
 |    Speeds from 1 to 10 enforce increasingly faster animation of line drawing | 
 |    and turtle turning. | 
 |  | 
 |    Attention: *speed* = 0 means that *no* animation takes | 
 |    place. forward/back makes turtle jump and likewise left/right make the | 
 |    turtle turn instantly. | 
 |  | 
 |    .. doctest:: | 
 |  | 
 |       >>> turtle.speed() | 
 |       3 | 
 |       >>> turtle.speed('normal') | 
 |       >>> turtle.speed() | 
 |       6 | 
 |       >>> turtle.speed(9) | 
 |       >>> turtle.speed() | 
 |       9 | 
 |  | 
 |  | 
 | Tell Turtle's state | 
 | ------------------- | 
 |  | 
 | .. function:: position() | 
 |               pos() | 
 |  | 
 |    Return the turtle's current location (x,y) (as a :class:`Vec2D` vector). | 
 |  | 
 |    .. doctest:: | 
 |  | 
 |       >>> turtle.pos() | 
 |       (440.00,-0.00) | 
 |  | 
 |  | 
 | .. function:: towards(x, y=None) | 
 |  | 
 |    :param x: a number or a pair/vector of numbers or a turtle instance | 
 |    :param y: a number if *x* is a number, else ``None`` | 
 |  | 
 |    Return the angle between the line from turtle position to position specified | 
 |    by (x,y), the vector or the other turtle.  This depends on the turtle's start | 
 |    orientation which depends on the mode - "standard"/"world" or "logo"). | 
 |  | 
 |    .. doctest:: | 
 |  | 
 |       >>> turtle.goto(10, 10) | 
 |       >>> turtle.towards(0,0) | 
 |       225.0 | 
 |  | 
 |  | 
 | .. function:: xcor() | 
 |  | 
 |    Return the turtle's x coordinate. | 
 |  | 
 |    .. doctest:: | 
 |  | 
 |       >>> turtle.home() | 
 |       >>> turtle.left(50) | 
 |       >>> turtle.forward(100) | 
 |       >>> turtle.pos() | 
 |       (64.28,76.60) | 
 |       >>> print(round(turtle.xcor(), 5)) | 
 |       64.27876 | 
 |  | 
 |  | 
 | .. function:: ycor() | 
 |  | 
 |    Return the turtle's y coordinate. | 
 |  | 
 |    .. doctest:: | 
 |  | 
 |       >>> turtle.home() | 
 |       >>> turtle.left(60) | 
 |       >>> turtle.forward(100) | 
 |       >>> print(turtle.pos()) | 
 |       (50.00,86.60) | 
 |       >>> print(round(turtle.ycor(), 5)) | 
 |       86.60254 | 
 |  | 
 |  | 
 | .. function:: heading() | 
 |  | 
 |    Return the turtle's current heading (value depends on the turtle mode, see | 
 |    :func:`mode`). | 
 |  | 
 |    .. doctest:: | 
 |  | 
 |       >>> turtle.home() | 
 |       >>> turtle.left(67) | 
 |       >>> turtle.heading() | 
 |       67.0 | 
 |  | 
 |  | 
 | .. function:: distance(x, y=None) | 
 |  | 
 |    :param x: a number or a pair/vector of numbers or a turtle instance | 
 |    :param y: a number if *x* is a number, else ``None`` | 
 |  | 
 |    Return the distance from the turtle to (x,y), the given vector, or the given | 
 |    other turtle, in turtle step units. | 
 |  | 
 |    .. doctest:: | 
 |  | 
 |       >>> turtle.home() | 
 |       >>> turtle.distance(30,40) | 
 |       50.0 | 
 |       >>> turtle.distance((30,40)) | 
 |       50.0 | 
 |       >>> joe = Turtle() | 
 |       >>> joe.forward(77) | 
 |       >>> turtle.distance(joe) | 
 |       77.0 | 
 |  | 
 |  | 
 | Settings for measurement | 
 | ------------------------ | 
 |  | 
 | .. function:: degrees(fullcircle=360.0) | 
 |  | 
 |    :param fullcircle: a number | 
 |  | 
 |    Set angle measurement units, i.e. set number of "degrees" for a full circle. | 
 |    Default value is 360 degrees. | 
 |  | 
 |    .. doctest:: | 
 |  | 
 |       >>> turtle.home() | 
 |       >>> turtle.left(90) | 
 |       >>> turtle.heading() | 
 |       90.0 | 
 |  | 
 |       Change angle measurement unit to grad (also known as gon, | 
 |       grade, or gradian and equals 1/100-th of the right angle.) | 
 |       >>> turtle.degrees(400.0) | 
 |       >>> turtle.heading() | 
 |       100.0 | 
 |       >>> turtle.degrees(360) | 
 |       >>> turtle.heading() | 
 |       90.0 | 
 |  | 
 |  | 
 | .. function:: radians() | 
 |  | 
 |    Set the angle measurement units to radians.  Equivalent to | 
 |    ``degrees(2*math.pi)``. | 
 |  | 
 |    .. doctest:: | 
 |  | 
 |       >>> turtle.home() | 
 |       >>> turtle.left(90) | 
 |       >>> turtle.heading() | 
 |       90.0 | 
 |       >>> turtle.radians() | 
 |       >>> turtle.heading() | 
 |       1.5707963267948966 | 
 |  | 
 |    .. doctest:: | 
 |       :hide: | 
 |  | 
 |       >>> turtle.degrees(360) | 
 |  | 
 |  | 
 | Pen control | 
 | ----------- | 
 |  | 
 | Drawing state | 
 | ~~~~~~~~~~~~~ | 
 |  | 
 | .. function:: pendown() | 
 |               pd() | 
 |               down() | 
 |  | 
 |    Pull the pen down -- drawing when moving. | 
 |  | 
 |  | 
 | .. function:: penup() | 
 |               pu() | 
 |               up() | 
 |  | 
 |    Pull the pen up -- no drawing when moving. | 
 |  | 
 |  | 
 | .. function:: pensize(width=None) | 
 |               width(width=None) | 
 |  | 
 |    :param width: a positive number | 
 |  | 
 |    Set the line thickness to *width* or return it.  If resizemode is set to | 
 |    "auto" and turtleshape is a polygon, that polygon is drawn with the same line | 
 |    thickness.  If no argument is given, the current pensize is returned. | 
 |  | 
 |    .. doctest:: | 
 |  | 
 |       >>> turtle.pensize() | 
 |       1 | 
 |       >>> turtle.pensize(10)   # from here on lines of width 10 are drawn | 
 |  | 
 |  | 
 | .. function:: pen(pen=None, **pendict) | 
 |  | 
 |    :param pen: a dictionary with some or all of the below listed keys | 
 |    :param pendict: one or more keyword-arguments with the below listed keys as keywords | 
 |  | 
 |    Return or set the pen's attributes in a "pen-dictionary" with the following | 
 |    key/value pairs: | 
 |  | 
 |    * "shown": True/False | 
 |    * "pendown": True/False | 
 |    * "pencolor": color-string or color-tuple | 
 |    * "fillcolor": color-string or color-tuple | 
 |    * "pensize": positive number | 
 |    * "speed": number in range 0..10 | 
 |    * "resizemode": "auto" or "user" or "noresize" | 
 |    * "stretchfactor": (positive number, positive number) | 
 |    * "outline": positive number | 
 |    * "tilt": number | 
 |  | 
 |    This dictionary can be used as argument for a subsequent call to :func:`pen` | 
 |    to restore the former pen-state.  Moreover one or more of these attributes | 
 |    can be provided as keyword-arguments.  This can be used to set several pen | 
 |    attributes in one statement. | 
 |  | 
 |    .. doctest:: | 
 |       :options: +NORMALIZE_WHITESPACE | 
 |  | 
 |       >>> turtle.pen(fillcolor="black", pencolor="red", pensize=10) | 
 |       >>> sorted(turtle.pen().items()) | 
 |       [('fillcolor', 'black'), ('outline', 1), ('pencolor', 'red'), | 
 |        ('pendown', True), ('pensize', 10), ('resizemode', 'noresize'), | 
 |        ('shearfactor', 0.0), ('shown', True), ('speed', 9), | 
 |        ('stretchfactor', (1.0, 1.0)), ('tilt', 0.0)] | 
 |       >>> penstate=turtle.pen() | 
 |       >>> turtle.color("yellow", "") | 
 |       >>> turtle.penup() | 
 |       >>> sorted(turtle.pen().items())[:3] | 
 |       [('fillcolor', ''), ('outline', 1), ('pencolor', 'yellow')] | 
 |       >>> turtle.pen(penstate, fillcolor="green") | 
 |       >>> sorted(turtle.pen().items())[:3] | 
 |       [('fillcolor', 'green'), ('outline', 1), ('pencolor', 'red')] | 
 |  | 
 | .. function:: isdown() | 
 |  | 
 |    Return ``True`` if pen is down, ``False`` if it's up. | 
 |  | 
 |    .. doctest:: | 
 |  | 
 |       >>> turtle.penup() | 
 |       >>> turtle.isdown() | 
 |       False | 
 |       >>> turtle.pendown() | 
 |       >>> turtle.isdown() | 
 |       True | 
 |  | 
 |  | 
 | Color control | 
 | ~~~~~~~~~~~~~ | 
 |  | 
 | .. function:: pencolor(*args) | 
 |  | 
 |    Return or set the pencolor. | 
 |  | 
 |    Four input formats are allowed: | 
 |  | 
 |    ``pencolor()`` | 
 |       Return the current pencolor as color specification string or | 
 |       as a tuple (see example).  May be used as input to another | 
 |       color/pencolor/fillcolor call. | 
 |  | 
 |    ``pencolor(colorstring)`` | 
 |       Set pencolor to *colorstring*, which is a Tk color specification string, | 
 |       such as ``"red"``, ``"yellow"``, or ``"#33cc8c"``. | 
 |  | 
 |    ``pencolor((r, g, b))`` | 
 |       Set pencolor to the RGB color represented by the tuple of *r*, *g*, and | 
 |       *b*.  Each of *r*, *g*, and *b* must be in the range 0..colormode, where | 
 |       colormode is either 1.0 or 255 (see :func:`colormode`). | 
 |  | 
 |    ``pencolor(r, g, b)`` | 
 |       Set pencolor to the RGB color represented by *r*, *g*, and *b*.  Each of | 
 |       *r*, *g*, and *b* must be in the range 0..colormode. | 
 |  | 
 |     If turtleshape is a polygon, the outline of that polygon is drawn with the | 
 |     newly set pencolor. | 
 |  | 
 |    .. doctest:: | 
 |  | 
 |        >>> colormode() | 
 |        1.0 | 
 |        >>> turtle.pencolor() | 
 |        'red' | 
 |        >>> turtle.pencolor("brown") | 
 |        >>> turtle.pencolor() | 
 |        'brown' | 
 |        >>> tup = (0.2, 0.8, 0.55) | 
 |        >>> turtle.pencolor(tup) | 
 |        >>> turtle.pencolor() | 
 |        (0.2, 0.8, 0.5490196078431373) | 
 |        >>> colormode(255) | 
 |        >>> turtle.pencolor() | 
 |        (51.0, 204.0, 140.0) | 
 |        >>> turtle.pencolor('#32c18f') | 
 |        >>> turtle.pencolor() | 
 |        (50.0, 193.0, 143.0) | 
 |  | 
 |  | 
 | .. function:: fillcolor(*args) | 
 |  | 
 |    Return or set the fillcolor. | 
 |  | 
 |    Four input formats are allowed: | 
 |  | 
 |    ``fillcolor()`` | 
 |       Return the current fillcolor as color specification string, possibly | 
 |       in tuple format (see example).  May be used as input to another | 
 |       color/pencolor/fillcolor call. | 
 |  | 
 |    ``fillcolor(colorstring)`` | 
 |       Set fillcolor to *colorstring*, which is a Tk color specification string, | 
 |       such as ``"red"``, ``"yellow"``, or ``"#33cc8c"``. | 
 |  | 
 |    ``fillcolor((r, g, b))`` | 
 |       Set fillcolor to the RGB color represented by the tuple of *r*, *g*, and | 
 |       *b*.  Each of *r*, *g*, and *b* must be in the range 0..colormode, where | 
 |       colormode is either 1.0 or 255 (see :func:`colormode`). | 
 |  | 
 |    ``fillcolor(r, g, b)`` | 
 |       Set fillcolor to the RGB color represented by *r*, *g*, and *b*.  Each of | 
 |       *r*, *g*, and *b* must be in the range 0..colormode. | 
 |  | 
 |     If turtleshape is a polygon, the interior of that polygon is drawn | 
 |     with the newly set fillcolor. | 
 |  | 
 |    .. doctest:: | 
 |  | 
 |        >>> turtle.fillcolor("violet") | 
 |        >>> turtle.fillcolor() | 
 |        'violet' | 
 |        >>> col = turtle.pencolor() | 
 |        >>> col | 
 |        (50.0, 193.0, 143.0) | 
 |        >>> turtle.fillcolor(col) | 
 |        >>> turtle.fillcolor() | 
 |        (50.0, 193.0, 143.0) | 
 |        >>> turtle.fillcolor('#ffffff') | 
 |        >>> turtle.fillcolor() | 
 |        (255.0, 255.0, 255.0) | 
 |  | 
 |  | 
 | .. function:: color(*args) | 
 |  | 
 |    Return or set pencolor and fillcolor. | 
 |  | 
 |    Several input formats are allowed.  They use 0 to 3 arguments as | 
 |    follows: | 
 |  | 
 |    ``color()`` | 
 |       Return the current pencolor and the current fillcolor as a pair of color | 
 |       specification strings or tuples as returned by :func:`pencolor` and | 
 |       :func:`fillcolor`. | 
 |  | 
 |    ``color(colorstring)``, ``color((r,g,b))``, ``color(r,g,b)`` | 
 |       Inputs as in :func:`pencolor`, set both, fillcolor and pencolor, to the | 
 |       given value. | 
 |  | 
 |    ``color(colorstring1, colorstring2)``, ``color((r1,g1,b1), (r2,g2,b2))`` | 
 |       Equivalent to ``pencolor(colorstring1)`` and ``fillcolor(colorstring2)`` | 
 |       and analogously if the other input format is used. | 
 |  | 
 |     If turtleshape is a polygon, outline and interior of that polygon is drawn | 
 |     with the newly set colors. | 
 |  | 
 |    .. doctest:: | 
 |  | 
 |        >>> turtle.color("red", "green") | 
 |        >>> turtle.color() | 
 |        ('red', 'green') | 
 |        >>> color("#285078", "#a0c8f0") | 
 |        >>> color() | 
 |        ((40.0, 80.0, 120.0), (160.0, 200.0, 240.0)) | 
 |  | 
 |  | 
 | See also: Screen method :func:`colormode`. | 
 |  | 
 |  | 
 | Filling | 
 | ~~~~~~~ | 
 |  | 
 | .. doctest:: | 
 |    :hide: | 
 |  | 
 |    >>> turtle.home() | 
 |  | 
 | .. function:: filling() | 
 |  | 
 |    Return fillstate (``True`` if filling, ``False`` else). | 
 |  | 
 |    .. doctest:: | 
 |  | 
 |        >>> turtle.begin_fill() | 
 |        >>> if turtle.filling(): | 
 |        ...    turtle.pensize(5) | 
 |        ... else: | 
 |        ...    turtle.pensize(3) | 
 |  | 
 |  | 
 |  | 
 | .. function:: begin_fill() | 
 |  | 
 |    To be called just before drawing a shape to be filled. | 
 |  | 
 |  | 
 | .. function:: end_fill() | 
 |  | 
 |    Fill the shape drawn after the last call to :func:`begin_fill`. | 
 |  | 
 |    .. doctest:: | 
 |  | 
 |       >>> turtle.color("black", "red") | 
 |       >>> turtle.begin_fill() | 
 |       >>> turtle.circle(80) | 
 |       >>> turtle.end_fill() | 
 |  | 
 |  | 
 | More drawing control | 
 | ~~~~~~~~~~~~~~~~~~~~ | 
 |  | 
 | .. function:: reset() | 
 |  | 
 |    Delete the turtle's drawings from the screen, re-center the turtle and set | 
 |    variables to the default values. | 
 |  | 
 |    .. doctest:: | 
 |  | 
 |       >>> turtle.goto(0,-22) | 
 |       >>> turtle.left(100) | 
 |       >>> turtle.position() | 
 |       (0.00,-22.00) | 
 |       >>> turtle.heading() | 
 |       100.0 | 
 |       >>> turtle.reset() | 
 |       >>> turtle.position() | 
 |       (0.00,0.00) | 
 |       >>> turtle.heading() | 
 |       0.0 | 
 |  | 
 |  | 
 | .. function:: clear() | 
 |  | 
 |    Delete the turtle's drawings from the screen.  Do not move turtle.  State and | 
 |    position of the turtle as well as drawings of other turtles are not affected. | 
 |  | 
 |  | 
 | .. function:: write(arg, move=False, align="left", font=("Arial", 8, "normal")) | 
 |  | 
 |    :param arg: object to be written to the TurtleScreen | 
 |    :param move: True/False | 
 |    :param align: one of the strings "left", "center" or right" | 
 |    :param font: a triple (fontname, fontsize, fonttype) | 
 |  | 
 |    Write text - the string representation of *arg* - at the current turtle | 
 |    position according to *align* ("left", "center" or right") and with the given | 
 |    font.  If *move* is True, the pen is moved to the bottom-right corner of the | 
 |    text.  By default, *move* is False. | 
 |  | 
 |    >>> turtle.write("Home = ", True, align="center") | 
 |    >>> turtle.write((0,0), True) | 
 |  | 
 |  | 
 | Turtle state | 
 | ------------ | 
 |  | 
 | Visibility | 
 | ~~~~~~~~~~ | 
 |  | 
 | .. function:: hideturtle() | 
 |               ht() | 
 |  | 
 |    Make the turtle invisible.  It's a good idea to do this while you're in the | 
 |    middle of doing some complex drawing, because hiding the turtle speeds up the | 
 |    drawing observably. | 
 |  | 
 |    .. doctest:: | 
 |  | 
 |       >>> turtle.hideturtle() | 
 |  | 
 |  | 
 | .. function:: showturtle() | 
 |               st() | 
 |  | 
 |    Make the turtle visible. | 
 |  | 
 |    .. doctest:: | 
 |  | 
 |       >>> turtle.showturtle() | 
 |  | 
 |  | 
 | .. function:: isvisible() | 
 |  | 
 |    Return True if the Turtle is shown, False if it's hidden. | 
 |  | 
 |    >>> turtle.hideturtle() | 
 |    >>> turtle.isvisible() | 
 |    False | 
 |    >>> turtle.showturtle() | 
 |    >>> turtle.isvisible() | 
 |    True | 
 |  | 
 |  | 
 | Appearance | 
 | ~~~~~~~~~~ | 
 |  | 
 | .. function:: shape(name=None) | 
 |  | 
 |    :param name: a string which is a valid shapename | 
 |  | 
 |    Set turtle shape to shape with given *name* or, if name is not given, return | 
 |    name of current shape.  Shape with *name* must exist in the TurtleScreen's | 
 |    shape dictionary.  Initially there are the following polygon shapes: "arrow", | 
 |    "turtle", "circle", "square", "triangle", "classic".  To learn about how to | 
 |    deal with shapes see Screen method :func:`register_shape`. | 
 |  | 
 |    .. doctest:: | 
 |  | 
 |       >>> turtle.shape() | 
 |       'classic' | 
 |       >>> turtle.shape("turtle") | 
 |       >>> turtle.shape() | 
 |       'turtle' | 
 |  | 
 |  | 
 | .. function:: resizemode(rmode=None) | 
 |  | 
 |    :param rmode: one of the strings "auto", "user", "noresize" | 
 |  | 
 |    Set resizemode to one of the values: "auto", "user", "noresize".  If *rmode* | 
 |    is not given, return current resizemode.  Different resizemodes have the | 
 |    following effects: | 
 |  | 
 |    - "auto": adapts the appearance of the turtle corresponding to the value of pensize. | 
 |    - "user": adapts the appearance of the turtle according to the values of | 
 |      stretchfactor and outlinewidth (outline), which are set by | 
 |      :func:`shapesize`. | 
 |    - "noresize": no adaption of the turtle's appearance takes place. | 
 |  | 
 |    resizemode("user") is called by :func:`shapesize` when used with arguments. | 
 |  | 
 |    .. doctest:: | 
 |  | 
 |       >>> turtle.resizemode() | 
 |       'noresize' | 
 |       >>> turtle.resizemode("auto") | 
 |       >>> turtle.resizemode() | 
 |       'auto' | 
 |  | 
 |  | 
 | .. function:: shapesize(stretch_wid=None, stretch_len=None, outline=None) | 
 |               turtlesize(stretch_wid=None, stretch_len=None, outline=None) | 
 |  | 
 |    :param stretch_wid: positive number | 
 |    :param stretch_len: positive number | 
 |    :param outline: positive number | 
 |  | 
 |    Return or set the pen's attributes x/y-stretchfactors and/or outline.  Set | 
 |    resizemode to "user".  If and only if resizemode is set to "user", the turtle | 
 |    will be displayed stretched according to its stretchfactors: *stretch_wid* is | 
 |    stretchfactor perpendicular to its orientation, *stretch_len* is | 
 |    stretchfactor in direction of its orientation, *outline* determines the width | 
 |    of the shapes's outline. | 
 |  | 
 |    .. doctest:: | 
 |  | 
 |       >>> turtle.shapesize() | 
 |       (1.0, 1.0, 1) | 
 |       >>> turtle.resizemode("user") | 
 |       >>> turtle.shapesize(5, 5, 12) | 
 |       >>> turtle.shapesize() | 
 |       (5, 5, 12) | 
 |       >>> turtle.shapesize(outline=8) | 
 |       >>> turtle.shapesize() | 
 |       (5, 5, 8) | 
 |  | 
 |  | 
 | .. function:: shearfactor(shear=None) | 
 |  | 
 |    :param shear: number (optional) | 
 |  | 
 |    Set or return the current shearfactor. Shear the turtleshape according to | 
 |    the given shearfactor shear, which is the tangent of the shear angle. | 
 |    Do *not* change the turtle's heading (direction of movement). | 
 |    If shear is not given: return the current shearfactor, i. e. the | 
 |    tangent of the shear angle, by which lines parallel to the | 
 |    heading of the turtle are sheared. | 
 |  | 
 |    .. doctest:: | 
 |  | 
 |        >>> turtle.shape("circle") | 
 |        >>> turtle.shapesize(5,2) | 
 |        >>> turtle.shearfactor(0.5) | 
 |        >>> turtle.shearfactor() | 
 |        0.5 | 
 |  | 
 |  | 
 | .. function:: tilt(angle) | 
 |  | 
 |    :param angle: a number | 
 |  | 
 |    Rotate the turtleshape by *angle* from its current tilt-angle, but do *not* | 
 |    change the turtle's heading (direction of movement). | 
 |  | 
 |    .. doctest:: | 
 |  | 
 |       >>> turtle.reset() | 
 |       >>> turtle.shape("circle") | 
 |       >>> turtle.shapesize(5,2) | 
 |       >>> turtle.tilt(30) | 
 |       >>> turtle.fd(50) | 
 |       >>> turtle.tilt(30) | 
 |       >>> turtle.fd(50) | 
 |  | 
 |  | 
 | .. function:: settiltangle(angle) | 
 |  | 
 |    :param angle: a number | 
 |  | 
 |    Rotate the turtleshape to point in the direction specified by *angle*, | 
 |    regardless of its current tilt-angle.  *Do not* change the turtle's heading | 
 |    (direction of movement). | 
 |  | 
 |    .. doctest:: | 
 |  | 
 |       >>> turtle.reset() | 
 |       >>> turtle.shape("circle") | 
 |       >>> turtle.shapesize(5,2) | 
 |       >>> turtle.settiltangle(45) | 
 |       >>> turtle.fd(50) | 
 |       >>> turtle.settiltangle(-45) | 
 |       >>> turtle.fd(50) | 
 |  | 
 |    .. deprecated:: 3.1 | 
 |  | 
 |  | 
 | .. function:: tiltangle(angle=None) | 
 |  | 
 |    :param angle: a number (optional) | 
 |  | 
 |    Set or return the current tilt-angle. If angle is given, rotate the | 
 |    turtleshape to point in the direction specified by angle, | 
 |    regardless of its current tilt-angle. Do *not* change the turtle's | 
 |    heading (direction of movement). | 
 |    If angle is not given: return the current tilt-angle, i. e. the angle | 
 |    between the orientation of the turtleshape and the heading of the | 
 |    turtle (its direction of movement). | 
 |  | 
 |    .. doctest:: | 
 |  | 
 |       >>> turtle.reset() | 
 |       >>> turtle.shape("circle") | 
 |       >>> turtle.shapesize(5,2) | 
 |       >>> turtle.tilt(45) | 
 |       >>> turtle.tiltangle() | 
 |       45.0 | 
 |  | 
 |  | 
 | .. function:: shapetransform(t11=None, t12=None, t21=None, t22=None) | 
 |  | 
 |    :param t11: a number (optional) | 
 |    :param t12: a number (optional) | 
 |    :param t21: a number (optional) | 
 |    :param t12: a number (optional) | 
 |  | 
 |    Set or return the current transformation matrix of the turtle shape. | 
 |  | 
 |    If none of the matrix elements are given, return the transformation | 
 |    matrix as a tuple of 4 elements. | 
 |    Otherwise set the given elements and transform the turtleshape | 
 |    according to the matrix consisting of first row t11, t12 and | 
 |    second row t21, 22. The determinant t11 * t22 - t12 * t21 must not be | 
 |    zero, otherwise an error is raised. | 
 |    Modify stretchfactor, shearfactor and tiltangle according to the | 
 |    given matrix. | 
 |  | 
 |    .. doctest:: | 
 |  | 
 |       >>> turtle = Turtle() | 
 |       >>> turtle.shape("square") | 
 |       >>> turtle.shapesize(4,2) | 
 |       >>> turtle.shearfactor(-0.5) | 
 |       >>> turtle.shapetransform() | 
 |       (4.0, -1.0, -0.0, 2.0) | 
 |  | 
 |  | 
 | .. function:: get_shapepoly() | 
 |  | 
 |    Return the current shape polygon as tuple of coordinate pairs. This | 
 |    can be used to define a new shape or components of a compound shape. | 
 |  | 
 |    .. doctest:: | 
 |  | 
 |       >>> turtle.shape("square") | 
 |       >>> turtle.shapetransform(4, -1, 0, 2) | 
 |       >>> turtle.get_shapepoly() | 
 |       ((50, -20), (30, 20), (-50, 20), (-30, -20)) | 
 |  | 
 |  | 
 | Using events | 
 | ------------ | 
 |  | 
 | .. function:: onclick(fun, btn=1, add=None) | 
 |  | 
 |    :param fun: a function with two arguments which will be called with the | 
 |                coordinates of the clicked point on the canvas | 
 |    :param num: number of the mouse-button, defaults to 1 (left mouse button) | 
 |    :param add: ``True`` or ``False`` -- if ``True``, a new binding will be | 
 |                added, otherwise it will replace a former binding | 
 |  | 
 |    Bind *fun* to mouse-click events on this turtle.  If *fun* is ``None``, | 
 |    existing bindings are removed.  Example for the anonymous turtle, i.e. the | 
 |    procedural way: | 
 |  | 
 |    .. doctest:: | 
 |  | 
 |       >>> def turn(x, y): | 
 |       ...     left(180) | 
 |       ... | 
 |       >>> onclick(turn)  # Now clicking into the turtle will turn it. | 
 |       >>> onclick(None)  # event-binding will be removed | 
 |  | 
 |  | 
 | .. function:: onrelease(fun, btn=1, add=None) | 
 |  | 
 |    :param fun: a function with two arguments which will be called with the | 
 |                coordinates of the clicked point on the canvas | 
 |    :param num: number of the mouse-button, defaults to 1 (left mouse button) | 
 |    :param add: ``True`` or ``False`` -- if ``True``, a new binding will be | 
 |                added, otherwise it will replace a former binding | 
 |  | 
 |    Bind *fun* to mouse-button-release events on this turtle.  If *fun* is | 
 |    ``None``, existing bindings are removed. | 
 |  | 
 |    .. doctest:: | 
 |  | 
 |       >>> class MyTurtle(Turtle): | 
 |       ...     def glow(self,x,y): | 
 |       ...         self.fillcolor("red") | 
 |       ...     def unglow(self,x,y): | 
 |       ...         self.fillcolor("") | 
 |       ... | 
 |       >>> turtle = MyTurtle() | 
 |       >>> turtle.onclick(turtle.glow)     # clicking on turtle turns fillcolor red, | 
 |       >>> turtle.onrelease(turtle.unglow) # releasing turns it to transparent. | 
 |  | 
 |  | 
 | .. function:: ondrag(fun, btn=1, add=None) | 
 |  | 
 |    :param fun: a function with two arguments which will be called with the | 
 |                coordinates of the clicked point on the canvas | 
 |    :param num: number of the mouse-button, defaults to 1 (left mouse button) | 
 |    :param add: ``True`` or ``False`` -- if ``True``, a new binding will be | 
 |                added, otherwise it will replace a former binding | 
 |  | 
 |    Bind *fun* to mouse-move events on this turtle.  If *fun* is ``None``, | 
 |    existing bindings are removed. | 
 |  | 
 |    Remark: Every sequence of mouse-move-events on a turtle is preceded by a | 
 |    mouse-click event on that turtle. | 
 |  | 
 |    .. doctest:: | 
 |  | 
 |       >>> turtle.ondrag(turtle.goto) | 
 |  | 
 |    Subsequently, clicking and dragging the Turtle will move it across | 
 |    the screen thereby producing handdrawings (if pen is down). | 
 |  | 
 |  | 
 | Special Turtle methods | 
 | ---------------------- | 
 |  | 
 | .. function:: begin_poly() | 
 |  | 
 |    Start recording the vertices of a polygon.  Current turtle position is first | 
 |    vertex of polygon. | 
 |  | 
 |  | 
 | .. function:: end_poly() | 
 |  | 
 |    Stop recording the vertices of a polygon.  Current turtle position is last | 
 |    vertex of polygon.  This will be connected with the first vertex. | 
 |  | 
 |  | 
 | .. function:: get_poly() | 
 |  | 
 |    Return the last recorded polygon. | 
 |  | 
 |    .. doctest:: | 
 |  | 
 |       >>> turtle.home() | 
 |       >>> turtle.begin_poly() | 
 |       >>> turtle.fd(100) | 
 |       >>> turtle.left(20) | 
 |       >>> turtle.fd(30) | 
 |       >>> turtle.left(60) | 
 |       >>> turtle.fd(50) | 
 |       >>> turtle.end_poly() | 
 |       >>> p = turtle.get_poly() | 
 |       >>> register_shape("myFavouriteShape", p) | 
 |  | 
 |  | 
 | .. function:: clone() | 
 |  | 
 |    Create and return a clone of the turtle with same position, heading and | 
 |    turtle properties. | 
 |  | 
 |    .. doctest:: | 
 |  | 
 |       >>> mick = Turtle() | 
 |       >>> joe = mick.clone() | 
 |  | 
 |  | 
 | .. function:: getturtle() | 
 |               getpen() | 
 |  | 
 |    Return the Turtle object itself.  Only reasonable use: as a function to | 
 |    return the "anonymous turtle": | 
 |  | 
 |    .. doctest:: | 
 |  | 
 |       >>> pet = getturtle() | 
 |       >>> pet.fd(50) | 
 |       >>> pet | 
 |       <turtle.Turtle object at 0x...> | 
 |  | 
 |  | 
 | .. function:: getscreen() | 
 |  | 
 |    Return the :class:`TurtleScreen` object the turtle is drawing on. | 
 |    TurtleScreen methods can then be called for that object. | 
 |  | 
 |    .. doctest:: | 
 |  | 
 |       >>> ts = turtle.getscreen() | 
 |       >>> ts | 
 |       <turtle._Screen object at 0x...> | 
 |       >>> ts.bgcolor("pink") | 
 |  | 
 |  | 
 | .. function:: setundobuffer(size) | 
 |  | 
 |    :param size: an integer or ``None`` | 
 |  | 
 |    Set or disable undobuffer.  If *size* is an integer an empty undobuffer of | 
 |    given size is installed.  *size* gives the maximum number of turtle actions | 
 |    that can be undone by the :func:`undo` method/function.  If *size* is | 
 |    ``None``, the undobuffer is disabled. | 
 |  | 
 |    .. doctest:: | 
 |  | 
 |       >>> turtle.setundobuffer(42) | 
 |  | 
 |  | 
 | .. function:: undobufferentries() | 
 |  | 
 |    Return number of entries in the undobuffer. | 
 |  | 
 |    .. doctest:: | 
 |  | 
 |       >>> while undobufferentries(): | 
 |       ...     undo() | 
 |  | 
 |  | 
 |  | 
 | .. _compoundshapes: | 
 |  | 
 | Compound shapes | 
 | --------------- | 
 |  | 
 | To use compound turtle shapes, which consist of several polygons of different | 
 | color, you must use the helper class :class:`Shape` explicitly as described | 
 | below: | 
 |  | 
 | 1. Create an empty Shape object of type "compound". | 
 | 2. Add as many components to this object as desired, using the | 
 |    :meth:`addcomponent` method. | 
 |  | 
 |    For example: | 
 |  | 
 |    .. doctest:: | 
 |  | 
 |       >>> s = Shape("compound") | 
 |       >>> poly1 = ((0,0),(10,-5),(0,10),(-10,-5)) | 
 |       >>> s.addcomponent(poly1, "red", "blue") | 
 |       >>> poly2 = ((0,0),(10,-5),(-10,-5)) | 
 |       >>> s.addcomponent(poly2, "blue", "red") | 
 |  | 
 | 3. Now add the Shape to the Screen's shapelist and use it: | 
 |  | 
 |    .. doctest:: | 
 |  | 
 |       >>> register_shape("myshape", s) | 
 |       >>> shape("myshape") | 
 |  | 
 |  | 
 | .. note:: | 
 |  | 
 |    The :class:`Shape` class is used internally by the :func:`register_shape` | 
 |    method in different ways.  The application programmer has to deal with the | 
 |    Shape class *only* when using compound shapes like shown above! | 
 |  | 
 |  | 
 | Methods of TurtleScreen/Screen and corresponding functions | 
 | ========================================================== | 
 |  | 
 | Most of the examples in this section refer to a TurtleScreen instance called | 
 | ``screen``. | 
 |  | 
 | .. doctest:: | 
 |    :hide: | 
 |  | 
 |    >>> screen = Screen() | 
 |  | 
 | Window control | 
 | -------------- | 
 |  | 
 | .. function:: bgcolor(*args) | 
 |  | 
 |    :param args: a color string or three numbers in the range 0..colormode or a | 
 |                 3-tuple of such numbers | 
 |  | 
 |  | 
 |    Set or return background color of the TurtleScreen. | 
 |  | 
 |    .. doctest:: | 
 |  | 
 |       >>> screen.bgcolor("orange") | 
 |       >>> screen.bgcolor() | 
 |       'orange' | 
 |       >>> screen.bgcolor("#800080") | 
 |       >>> screen.bgcolor() | 
 |       (128.0, 0.0, 128.0) | 
 |  | 
 |  | 
 | .. function:: bgpic(picname=None) | 
 |  | 
 |    :param picname: a string, name of a gif-file or ``"nopic"``, or ``None`` | 
 |  | 
 |    Set background image or return name of current backgroundimage.  If *picname* | 
 |    is a filename, set the corresponding image as background.  If *picname* is | 
 |    ``"nopic"``, delete background image, if present.  If *picname* is ``None``, | 
 |    return the filename of the current backgroundimage. :: | 
 |  | 
 |        >>> screen.bgpic() | 
 |        'nopic' | 
 |        >>> screen.bgpic("landscape.gif") | 
 |        >>> screen.bgpic() | 
 |        "landscape.gif" | 
 |  | 
 |  | 
 | .. function:: clear() | 
 |               clearscreen() | 
 |  | 
 |    Delete all drawings and all turtles from the TurtleScreen.  Reset the now | 
 |    empty TurtleScreen to its initial state: white background, no background | 
 |    image, no event bindings and tracing on. | 
 |  | 
 |    .. note:: | 
 |       This TurtleScreen method is available as a global function only under the | 
 |       name ``clearscreen``.  The global function ``clear`` is a different one | 
 |       derived from the Turtle method ``clear``. | 
 |  | 
 |  | 
 | .. function:: reset() | 
 |               resetscreen() | 
 |  | 
 |    Reset all Turtles on the Screen to their initial state. | 
 |  | 
 |    .. note:: | 
 |       This TurtleScreen method is available as a global function only under the | 
 |       name ``resetscreen``.  The global function ``reset`` is another one | 
 |       derived from the Turtle method ``reset``. | 
 |  | 
 |  | 
 | .. function:: screensize(canvwidth=None, canvheight=None, bg=None) | 
 |  | 
 |    :param canvwidth: positive integer, new width of canvas in pixels | 
 |    :param canvheight: positive integer, new height of canvas in pixels | 
 |    :param bg: colorstring or color-tuple, new background color | 
 |  | 
 |    If no arguments are given, return current (canvaswidth, canvasheight).  Else | 
 |    resize the canvas the turtles are drawing on.  Do not alter the drawing | 
 |    window.  To observe hidden parts of the canvas, use the scrollbars. With this | 
 |    method, one can make visible those parts of a drawing which were outside the | 
 |    canvas before. | 
 |  | 
 |       >>> screen.screensize() | 
 |       (400, 300) | 
 |       >>> screen.screensize(2000,1500) | 
 |       >>> screen.screensize() | 
 |       (2000, 1500) | 
 |  | 
 |    e.g. to search for an erroneously escaped turtle ;-) | 
 |  | 
 |  | 
 | .. function:: setworldcoordinates(llx, lly, urx, ury) | 
 |  | 
 |    :param llx: a number, x-coordinate of lower left corner of canvas | 
 |    :param lly: a number, y-coordinate of lower left corner of canvas | 
 |    :param urx: a number, x-coordinate of upper right corner of canvas | 
 |    :param ury: a number, y-coordinate of upper right corner of canvas | 
 |  | 
 |    Set up user-defined coordinate system and switch to mode "world" if | 
 |    necessary.  This performs a ``screen.reset()``.  If mode "world" is already | 
 |    active, all drawings are redrawn according to the new coordinates. | 
 |  | 
 |    **ATTENTION**: in user-defined coordinate systems angles may appear | 
 |    distorted. | 
 |  | 
 |    .. doctest:: | 
 |  | 
 |       >>> screen.reset() | 
 |       >>> screen.setworldcoordinates(-50,-7.5,50,7.5) | 
 |       >>> for _ in range(72): | 
 |       ...     left(10) | 
 |       ... | 
 |       >>> for _ in range(8): | 
 |       ...     left(45); fd(2)   # a regular octagon | 
 |  | 
 |    .. doctest:: | 
 |       :hide: | 
 |  | 
 |       >>> screen.reset() | 
 |       >>> for t in turtles(): | 
 |       ...      t.reset() | 
 |  | 
 |  | 
 | Animation control | 
 | ----------------- | 
 |  | 
 | .. function:: delay(delay=None) | 
 |  | 
 |    :param delay: positive integer | 
 |  | 
 |    Set or return the drawing *delay* in milliseconds.  (This is approximately | 
 |    the time interval between two consecutive canvas updates.)  The longer the | 
 |    drawing delay, the slower the animation. | 
 |  | 
 |    Optional argument: | 
 |  | 
 |    .. doctest:: | 
 |  | 
 |       >>> screen.delay() | 
 |       10 | 
 |       >>> screen.delay(5) | 
 |       >>> screen.delay() | 
 |       5 | 
 |  | 
 |  | 
 | .. function:: tracer(n=None, delay=None) | 
 |  | 
 |    :param n: nonnegative integer | 
 |    :param delay: nonnegative integer | 
 |  | 
 |    Turn turtle animation on/off and set delay for update drawings.  If | 
 |    *n* is given, only each n-th regular screen update is really | 
 |    performed.  (Can be used to accelerate the drawing of complex | 
 |    graphics.)  When called without arguments, returns the currently | 
 |    stored value of n. Second argument sets delay value (see | 
 |    :func:`delay`). | 
 |  | 
 |    .. doctest:: | 
 |  | 
 |       >>> screen.tracer(8, 25) | 
 |       >>> dist = 2 | 
 |       >>> for i in range(200): | 
 |       ...     fd(dist) | 
 |       ...     rt(90) | 
 |       ...     dist += 2 | 
 |  | 
 |  | 
 | .. function:: update() | 
 |  | 
 |    Perform a TurtleScreen update. To be used when tracer is turned off. | 
 |  | 
 | See also the RawTurtle/Turtle method :func:`speed`. | 
 |  | 
 |  | 
 | Using screen events | 
 | ------------------- | 
 |  | 
 | .. function:: listen(xdummy=None, ydummy=None) | 
 |  | 
 |    Set focus on TurtleScreen (in order to collect key-events).  Dummy arguments | 
 |    are provided in order to be able to pass :func:`listen` to the onclick method. | 
 |  | 
 |  | 
 | .. function:: onkey(fun, key) | 
 |               onkeyrelease(fun, key) | 
 |  | 
 |    :param fun: a function with no arguments or ``None`` | 
 |    :param key: a string: key (e.g. "a") or key-symbol (e.g. "space") | 
 |  | 
 |    Bind *fun* to key-release event of key.  If *fun* is ``None``, event bindings | 
 |    are removed. Remark: in order to be able to register key-events, TurtleScreen | 
 |    must have the focus. (See method :func:`listen`.) | 
 |  | 
 |    .. doctest:: | 
 |  | 
 |       >>> def f(): | 
 |       ...     fd(50) | 
 |       ...     lt(60) | 
 |       ... | 
 |       >>> screen.onkey(f, "Up") | 
 |       >>> screen.listen() | 
 |  | 
 |  | 
 | .. function:: onkeypress(fun, key=None) | 
 |  | 
 |    :param fun: a function with no arguments or ``None`` | 
 |    :param key: a string: key (e.g. "a") or key-symbol (e.g. "space") | 
 |  | 
 |    Bind *fun* to key-press event of key if key is given, | 
 |    or to any key-press-event if no key is given. | 
 |    Remark: in order to be able to register key-events, TurtleScreen | 
 |    must have focus. (See method :func:`listen`.) | 
 |  | 
 |    .. doctest:: | 
 |  | 
 |       >>> def f(): | 
 |       ...     fd(50) | 
 |       ... | 
 |       >>> screen.onkey(f, "Up") | 
 |       >>> screen.listen() | 
 |  | 
 |  | 
 | .. function:: onclick(fun, btn=1, add=None) | 
 |               onscreenclick(fun, btn=1, add=None) | 
 |  | 
 |    :param fun: a function with two arguments which will be called with the | 
 |                coordinates of the clicked point on the canvas | 
 |    :param num: number of the mouse-button, defaults to 1 (left mouse button) | 
 |    :param add: ``True`` or ``False`` -- if ``True``, a new binding will be | 
 |                added, otherwise it will replace a former binding | 
 |  | 
 |    Bind *fun* to mouse-click events on this screen.  If *fun* is ``None``, | 
 |    existing bindings are removed. | 
 |  | 
 |    Example for a TurtleScreen instance named ``screen`` and a Turtle instance | 
 |    named turtle: | 
 |  | 
 |    .. doctest:: | 
 |  | 
 |       >>> screen.onclick(turtle.goto) # Subsequently clicking into the TurtleScreen will | 
 |       >>>                             # make the turtle move to the clicked point. | 
 |       >>> screen.onclick(None)        # remove event binding again | 
 |  | 
 |    .. note:: | 
 |       This TurtleScreen method is available as a global function only under the | 
 |       name ``onscreenclick``.  The global function ``onclick`` is another one | 
 |       derived from the Turtle method ``onclick``. | 
 |  | 
 |  | 
 | .. function:: ontimer(fun, t=0) | 
 |  | 
 |    :param fun: a function with no arguments | 
 |    :param t: a number >= 0 | 
 |  | 
 |    Install a timer that calls *fun* after *t* milliseconds. | 
 |  | 
 |    .. doctest:: | 
 |  | 
 |       >>> running = True | 
 |       >>> def f(): | 
 |       ...     if running: | 
 |       ...         fd(50) | 
 |       ...         lt(60) | 
 |       ...         screen.ontimer(f, 250) | 
 |       >>> f()   ### makes the turtle march around | 
 |       >>> running = False | 
 |  | 
 |  | 
 | .. function:: mainloop() | 
 |  | 
 |    Starts event loop - calling Tkinter's mainloop function. | 
 |    Must be the last statement in a turtle graphics program. | 
 |    Must *not* be used if a script is run from within IDLE in -n mode | 
 |    (No subprocess) - for interactive use of turtle graphics. :: | 
 |  | 
 |       >>> screen.mainloop() | 
 |  | 
 |  | 
 | Input methods | 
 | ------------- | 
 |  | 
 | .. function:: textinput(title, prompt) | 
 |  | 
 |    :param title: string | 
 |    :param prompt: string | 
 |  | 
 |    Pop up a dialog window for input of a string. Parameter title is | 
 |    the title of the dialog window, propmt is a text mostly describing | 
 |    what information to input. | 
 |    Return the string input. If the dialog is canceled, return None. :: | 
 |  | 
 |       >>> screen.textinput("NIM", "Name of first player:") | 
 |  | 
 |  | 
 | .. function:: numinput(title, prompt, default=None, minval=None, maxval=None) | 
 |  | 
 |    :param title: string | 
 |    :param prompt: string | 
 |    :param default: number (optional) | 
 |    :param minval: number (optional) | 
 |    :param maxval: number (optional) | 
 |  | 
 |    Pop up a dialog window for input of a number. title is the title of the | 
 |    dialog window, prompt is a text mostly describing what numerical information | 
 |    to input. default: default value, minval: minimum value for imput, | 
 |    maxval: maximum value for input | 
 |    The number input must be in the range minval .. maxval if these are | 
 |    given. If not, a hint is issued and the dialog remains open for | 
 |    correction. | 
 |    Return the number input. If the dialog is canceled,  return None. :: | 
 |  | 
 |       >>> screen.numinput("Poker", "Your stakes:", 1000, minval=10, maxval=10000) | 
 |  | 
 |  | 
 | Settings and special methods | 
 | ---------------------------- | 
 |  | 
 | .. function:: mode(mode=None) | 
 |  | 
 |    :param mode: one of the strings "standard", "logo" or "world" | 
 |  | 
 |    Set turtle mode ("standard", "logo" or "world") and perform reset.  If mode | 
 |    is not given, current mode is returned. | 
 |  | 
 |    Mode "standard" is compatible with old :mod:`turtle`.  Mode "logo" is | 
 |    compatible with most Logo turtle graphics.  Mode "world" uses user-defined | 
 |    "world coordinates". **Attention**: in this mode angles appear distorted if | 
 |    ``x/y`` unit-ratio doesn't equal 1. | 
 |  | 
 |    ============ ========================= =================== | 
 |        Mode      Initial turtle heading     positive angles | 
 |    ============ ========================= =================== | 
 |     "standard"    to the right (east)       counterclockwise | 
 |       "logo"        upward    (north)         clockwise | 
 |    ============ ========================= =================== | 
 |  | 
 |    .. doctest:: | 
 |  | 
 |       >>> mode("logo")   # resets turtle heading to north | 
 |       >>> mode() | 
 |       'logo' | 
 |  | 
 |  | 
 | .. function:: colormode(cmode=None) | 
 |  | 
 |    :param cmode: one of the values 1.0 or 255 | 
 |  | 
 |    Return the colormode or set it to 1.0 or 255.  Subsequently *r*, *g*, *b* | 
 |    values of color triples have to be in the range 0..\ *cmode*. | 
 |  | 
 |    .. doctest:: | 
 |  | 
 |       >>> screen.colormode(1) | 
 |       >>> turtle.pencolor(240, 160, 80) | 
 |       Traceback (most recent call last): | 
 |            ... | 
 |       TurtleGraphicsError: bad color sequence: (240, 160, 80) | 
 |       >>> screen.colormode() | 
 |       1.0 | 
 |       >>> screen.colormode(255) | 
 |       >>> screen.colormode() | 
 |       255 | 
 |       >>> turtle.pencolor(240,160,80) | 
 |  | 
 |  | 
 | .. function:: getcanvas() | 
 |  | 
 |    Return the Canvas of this TurtleScreen.  Useful for insiders who know what to | 
 |    do with a Tkinter Canvas. | 
 |  | 
 |    .. doctest:: | 
 |  | 
 |       >>> cv = screen.getcanvas() | 
 |       >>> cv | 
 |       <turtle.ScrolledCanvas object at ...> | 
 |  | 
 |  | 
 | .. function:: getshapes() | 
 |  | 
 |    Return a list of names of all currently available turtle shapes. | 
 |  | 
 |    .. doctest:: | 
 |  | 
 |       >>> screen.getshapes() | 
 |       ['arrow', 'blank', 'circle', ..., 'turtle'] | 
 |  | 
 |  | 
 | .. function:: register_shape(name, shape=None) | 
 |               addshape(name, shape=None) | 
 |  | 
 |    There are three different ways to call this function: | 
 |  | 
 |    (1) *name* is the name of a gif-file and *shape* is ``None``: Install the | 
 |        corresponding image shape. :: | 
 |  | 
 |        >>> screen.register_shape("turtle.gif") | 
 |  | 
 |        .. note:: | 
 |           Image shapes *do not* rotate when turning the turtle, so they do not | 
 |           display the heading of the turtle! | 
 |  | 
 |    (2) *name* is an arbitrary string and *shape* is a tuple of pairs of | 
 |        coordinates: Install the corresponding polygon shape. | 
 |  | 
 |        .. doctest:: | 
 |  | 
 |           >>> screen.register_shape("triangle", ((5,-3), (0,5), (-5,-3))) | 
 |  | 
 |    (3) *name* is an arbitrary string and shape is a (compound) :class:`Shape` | 
 |        object: Install the corresponding compound shape. | 
 |  | 
 |    Add a turtle shape to TurtleScreen's shapelist.  Only thusly registered | 
 |    shapes can be used by issuing the command ``shape(shapename)``. | 
 |  | 
 |  | 
 | .. function:: turtles() | 
 |  | 
 |    Return the list of turtles on the screen. | 
 |  | 
 |    .. doctest:: | 
 |  | 
 |       >>> for turtle in screen.turtles(): | 
 |       ...     turtle.color("red") | 
 |  | 
 |  | 
 | .. function:: window_height() | 
 |  | 
 |    Return the height of the turtle window. :: | 
 |  | 
 |        >>> screen.window_height() | 
 |        480 | 
 |  | 
 |  | 
 | .. function:: window_width() | 
 |  | 
 |    Return the width of the turtle window. :: | 
 |  | 
 |        >>> screen.window_width() | 
 |        640 | 
 |  | 
 |  | 
 | .. _screenspecific: | 
 |  | 
 | Methods specific to Screen, not inherited from TurtleScreen | 
 | ----------------------------------------------------------- | 
 |  | 
 | .. function:: bye() | 
 |  | 
 |    Shut the turtlegraphics window. | 
 |  | 
 |  | 
 | .. function:: exitonclick() | 
 |  | 
 |    Bind bye() method to mouse clicks on the Screen. | 
 |  | 
 |  | 
 |    If the value "using_IDLE" in the configuration dictionary is ``False`` | 
 |    (default value), also enter mainloop.  Remark: If IDLE with the ``-n`` switch | 
 |    (no subprocess) is used, this value should be set to ``True`` in | 
 |    :file:`turtle.cfg`.  In this case IDLE's own mainloop is active also for the | 
 |    client script. | 
 |  | 
 |  | 
 | .. function:: setup(width=_CFG["width"], height=_CFG["height"], startx=_CFG["leftright"], starty=_CFG["topbottom"]) | 
 |  | 
 |    Set the size and position of the main window.  Default values of arguments | 
 |    are stored in the configuration dictionary and can be changed via a | 
 |    :file:`turtle.cfg` file. | 
 |  | 
 |    :param width: if an integer, a size in pixels, if a float, a fraction of the | 
 |                  screen; default is 50% of screen | 
 |    :param height: if an integer, the height in pixels, if a float, a fraction of | 
 |                   the screen; default is 75% of screen | 
 |    :param startx: if positive, starting position in pixels from the left | 
 |                   edge of the screen, if negative from the right edge, if None, | 
 |                   center window horizontally | 
 |    :param startx: if positive, starting position in pixels from the top | 
 |                   edge of the screen, if negative from the bottom edge, if None, | 
 |                   center window vertically | 
 |  | 
 |    .. doctest:: | 
 |  | 
 |       >>> screen.setup (width=200, height=200, startx=0, starty=0) | 
 |       >>>              # sets window to 200x200 pixels, in upper left of screen | 
 |       >>> screen.setup(width=.75, height=0.5, startx=None, starty=None) | 
 |       >>>              # sets window to 75% of screen by 50% of screen and centers | 
 |  | 
 |  | 
 | .. function:: title(titlestring) | 
 |  | 
 |    :param titlestring: a string that is shown in the titlebar of the turtle | 
 |                        graphics window | 
 |  | 
 |    Set title of turtle window to *titlestring*. | 
 |  | 
 |    .. doctest:: | 
 |  | 
 |       >>> screen.title("Welcome to the turtle zoo!") | 
 |  | 
 |  | 
 | Public classes | 
 | ============== | 
 |  | 
 |  | 
 | .. class:: RawTurtle(canvas) | 
 |            RawPen(canvas) | 
 |  | 
 |    :param canvas: a :class:`tkinter.Canvas`, a :class:`ScrolledCanvas` or a | 
 |                   :class:`TurtleScreen` | 
 |  | 
 |    Create a turtle.  The turtle has all methods described above as "methods of | 
 |    Turtle/RawTurtle". | 
 |  | 
 |  | 
 | .. class:: Turtle() | 
 |  | 
 |    Subclass of RawTurtle, has the same interface but draws on a default | 
 |    :class:`Screen` object created automatically when needed for the first time. | 
 |  | 
 |  | 
 | .. class:: TurtleScreen(cv) | 
 |  | 
 |    :param cv: a :class:`tkinter.Canvas` | 
 |  | 
 |    Provides screen oriented methods like :func:`setbg` etc. that are described | 
 |    above. | 
 |  | 
 | .. class:: Screen() | 
 |  | 
 |    Subclass of TurtleScreen, with :ref:`four methods added <screenspecific>`. | 
 |  | 
 |  | 
 | .. class:: ScrolledCanvas(master) | 
 |  | 
 |    :param master: some Tkinter widget to contain the ScrolledCanvas, i.e. | 
 |       a Tkinter-canvas with scrollbars added | 
 |  | 
 |    Used by class Screen, which thus automatically provides a ScrolledCanvas as | 
 |    playground for the turtles. | 
 |  | 
 | .. class:: Shape(type_, data) | 
 |  | 
 |    :param type\_: one of the strings "polygon", "image", "compound" | 
 |  | 
 |    Data structure modeling shapes.  The pair ``(type_, data)`` must follow this | 
 |    specification: | 
 |  | 
 |  | 
 |    =========== =========== | 
 |    *type_*     *data* | 
 |    =========== =========== | 
 |    "polygon"   a polygon-tuple, i.e. a tuple of pairs of coordinates | 
 |    "image"     an image  (in this form only used internally!) | 
 |    "compound"  ``None`` (a compound shape has to be constructed using the | 
 |                :meth:`addcomponent` method) | 
 |    =========== =========== | 
 |  | 
 |    .. method:: addcomponent(poly, fill, outline=None) | 
 |  | 
 |       :param poly: a polygon, i.e. a tuple of pairs of numbers | 
 |       :param fill: a color the *poly* will be filled with | 
 |       :param outline: a color for the poly's outline (if given) | 
 |  | 
 |       Example: | 
 |  | 
 |       .. doctest:: | 
 |  | 
 |          >>> poly = ((0,0),(10,-5),(0,10),(-10,-5)) | 
 |          >>> s = Shape("compound") | 
 |          >>> s.addcomponent(poly, "red", "blue") | 
 |          >>> # ... add more components and then use register_shape() | 
 |  | 
 |       See :ref:`compoundshapes`. | 
 |  | 
 |  | 
 | .. class:: Vec2D(x, y) | 
 |  | 
 |    A two-dimensional vector class, used as a helper class for implementing | 
 |    turtle graphics.  May be useful for turtle graphics programs too.  Derived | 
 |    from tuple, so a vector is a tuple! | 
 |  | 
 |    Provides (for *a*, *b* vectors, *k* number): | 
 |  | 
 |    * ``a + b`` vector addition | 
 |    * ``a - b`` vector subtraction | 
 |    * ``a * b`` inner product | 
 |    * ``k * a`` and ``a * k`` multiplication with scalar | 
 |    * ``abs(a)`` absolute value of a | 
 |    * ``a.rotate(angle)`` rotation | 
 |  | 
 |  | 
 | Help and configuration | 
 | ====================== | 
 |  | 
 | How to use help | 
 | --------------- | 
 |  | 
 | The public methods of the Screen and Turtle classes are documented extensively | 
 | via docstrings.  So these can be used as online-help via the Python help | 
 | facilities: | 
 |  | 
 | - When using IDLE, tooltips show the signatures and first lines of the | 
 |   docstrings of typed in function-/method calls. | 
 |  | 
 | - Calling :func:`help` on methods or functions displays the docstrings:: | 
 |  | 
 |      >>> help(Screen.bgcolor) | 
 |      Help on method bgcolor in module turtle: | 
 |  | 
 |      bgcolor(self, *args) unbound turtle.Screen method | 
 |          Set or return backgroundcolor of the TurtleScreen. | 
 |  | 
 |          Arguments (if given): a color string or three numbers | 
 |          in the range 0..colormode or a 3-tuple of such numbers. | 
 |  | 
 |  | 
 |            >>> screen.bgcolor("orange") | 
 |            >>> screen.bgcolor() | 
 |            "orange" | 
 |            >>> screen.bgcolor(0.5,0,0.5) | 
 |            >>> screen.bgcolor() | 
 |            "#800080" | 
 |  | 
 |      >>> help(Turtle.penup) | 
 |      Help on method penup in module turtle: | 
 |  | 
 |      penup(self) unbound turtle.Turtle method | 
 |          Pull the pen up -- no drawing when moving. | 
 |  | 
 |          Aliases: penup | pu | up | 
 |  | 
 |          No argument | 
 |  | 
 |          >>> turtle.penup() | 
 |  | 
 | - The docstrings of the functions which are derived from methods have a modified | 
 |   form:: | 
 |  | 
 |      >>> help(bgcolor) | 
 |      Help on function bgcolor in module turtle: | 
 |  | 
 |      bgcolor(*args) | 
 |          Set or return backgroundcolor of the TurtleScreen. | 
 |  | 
 |          Arguments (if given): a color string or three numbers | 
 |          in the range 0..colormode or a 3-tuple of such numbers. | 
 |  | 
 |          Example:: | 
 |  | 
 |            >>> bgcolor("orange") | 
 |            >>> bgcolor() | 
 |            "orange" | 
 |            >>> bgcolor(0.5,0,0.5) | 
 |            >>> bgcolor() | 
 |            "#800080" | 
 |  | 
 |      >>> help(penup) | 
 |      Help on function penup in module turtle: | 
 |  | 
 |      penup() | 
 |          Pull the pen up -- no drawing when moving. | 
 |  | 
 |          Aliases: penup | pu | up | 
 |  | 
 |          No argument | 
 |  | 
 |          Example: | 
 |          >>> penup() | 
 |  | 
 | These modified docstrings are created automatically together with the function | 
 | definitions that are derived from the methods at import time. | 
 |  | 
 |  | 
 | Translation of docstrings into different languages | 
 | -------------------------------------------------- | 
 |  | 
 | There is a utility to create a dictionary the keys of which are the method names | 
 | and the values of which are the docstrings of the public methods of the classes | 
 | Screen and Turtle. | 
 |  | 
 | .. function:: write_docstringdict(filename="turtle_docstringdict") | 
 |  | 
 |    :param filename: a string, used as filename | 
 |  | 
 |    Create and write docstring-dictionary to a Python script with the given | 
 |    filename.  This function has to be called explicitly (it is not used by the | 
 |    turtle graphics classes).  The docstring dictionary will be written to the | 
 |    Python script :file:`{filename}.py`.  It is intended to serve as a template | 
 |    for translation of the docstrings into different languages. | 
 |  | 
 | If you (or your students) want to use :mod:`turtle` with online help in your | 
 | native language, you have to translate the docstrings and save the resulting | 
 | file as e.g. :file:`turtle_docstringdict_german.py`. | 
 |  | 
 | If you have an appropriate entry in your :file:`turtle.cfg` file this dictionary | 
 | will be read in at import time and will replace the original English docstrings. | 
 |  | 
 | At the time of this writing there are docstring dictionaries in German and in | 
 | Italian.  (Requests please to glingl@aon.at.) | 
 |  | 
 |  | 
 |  | 
 | How to configure Screen and Turtles | 
 | ----------------------------------- | 
 |  | 
 | The built-in default configuration mimics the appearance and behaviour of the | 
 | old turtle module in order to retain best possible compatibility with it. | 
 |  | 
 | If you want to use a different configuration which better reflects the features | 
 | of this module or which better fits to your needs, e.g. for use in a classroom, | 
 | you can prepare a configuration file ``turtle.cfg`` which will be read at import | 
 | time and modify the configuration according to its settings. | 
 |  | 
 | The built in configuration would correspond to the following turtle.cfg:: | 
 |  | 
 |    width = 0.5 | 
 |    height = 0.75 | 
 |    leftright = None | 
 |    topbottom = None | 
 |    canvwidth = 400 | 
 |    canvheight = 300 | 
 |    mode = standard | 
 |    colormode = 1.0 | 
 |    delay = 10 | 
 |    undobuffersize = 1000 | 
 |    shape = classic | 
 |    pencolor = black | 
 |    fillcolor = black | 
 |    resizemode = noresize | 
 |    visible = True | 
 |    language = english | 
 |    exampleturtle = turtle | 
 |    examplescreen = screen | 
 |    title = Python Turtle Graphics | 
 |    using_IDLE = False | 
 |  | 
 | Short explanation of selected entries: | 
 |  | 
 | - The first four lines correspond to the arguments of the :meth:`Screen.setup` | 
 |   method. | 
 | - Line 5 and 6 correspond to the arguments of the method | 
 |   :meth:`Screen.screensize`. | 
 | - *shape* can be any of the built-in shapes, e.g: arrow, turtle, etc.  For more | 
 |   info try ``help(shape)``. | 
 | - If you want to use no fillcolor (i.e. make the turtle transparent), you have | 
 |   to write ``fillcolor = ""`` (but all nonempty strings must not have quotes in | 
 |   the cfg-file). | 
 | - If you want to reflect the turtle its state, you have to use ``resizemode = | 
 |   auto``. | 
 | - If you set e.g. ``language = italian`` the docstringdict | 
 |   :file:`turtle_docstringdict_italian.py` will be loaded at import time (if | 
 |   present on the import path, e.g. in the same directory as :mod:`turtle`. | 
 | - The entries *exampleturtle* and *examplescreen* define the names of these | 
 |   objects as they occur in the docstrings.  The transformation of | 
 |   method-docstrings to function-docstrings will delete these names from the | 
 |   docstrings. | 
 | - *using_IDLE*: Set this to ``True`` if you regularly work with IDLE and its -n | 
 |   switch ("no subprocess").  This will prevent :func:`exitonclick` to enter the | 
 |   mainloop. | 
 |  | 
 | There can be a :file:`turtle.cfg` file in the directory where :mod:`turtle` is | 
 | stored and an additional one in the current working directory.  The latter will | 
 | override the settings of the first one. | 
 |  | 
 | The :file:`Lib/turtledemo` directory contains a :file:`turtle.cfg` file.  You can | 
 | study it as an example and see its effects when running the demos (preferably | 
 | not from within the demo-viewer). | 
 |  | 
 |  | 
 | Demo scripts | 
 | ============ | 
 |  | 
 | There is a set of demo scripts in the :mod:`turtledemo` package.  These | 
 | scripts can be run and viewed using the supplied demo viewer as follows:: | 
 |  | 
 |    python -m turtledemo | 
 |  | 
 | Alternatively, you can run the demo scripts individually.  For example, :: | 
 |  | 
 |    python -m turtledemo.bytedesign | 
 |  | 
 | The :mod:`turtledemo` package directory contains: | 
 |  | 
 | - a set of 15 demo scripts demonstrating different features of the new module | 
 |   :mod:`turtle`; | 
 | - a demo viewer :file:`__main__.py` which can be used to view the sourcecode | 
 |   of the scripts and run them at the same time. 14 of the examples can be | 
 |   accessed via the Examples menu; all of them can also be run standalone. | 
 | - The example :mod:`turtledemo.two_canvases` demonstrates the simultaneous | 
 |   use of two canvases with the turtle module.  Therefore it only can be run | 
 |   standalone. | 
 | - There is a :file:`turtle.cfg` file in this directory, which serves as an | 
 |   example for how to write and use such files. | 
 |  | 
 | The demo scripts are: | 
 |  | 
 | +----------------+------------------------------+-----------------------+ | 
 | | Name           | Description                  | Features              | | 
 | +----------------+------------------------------+-----------------------+ | 
 | | bytedesign     | complex classical            | :func:`tracer`, delay,| | 
 | |                | turtle graphics pattern      | :func:`update`        | | 
 | +----------------+------------------------------+-----------------------+ | 
 | | chaos          | graphs Verhulst dynamics,    | world coordinates     | | 
 | |                | shows that computer's        |                       | | 
 | |                | computations can generate    |                       | | 
 | |                | results sometimes against the|                       | | 
 | |                | common sense expectations    |                       | | 
 | +----------------+------------------------------+-----------------------+ | 
 | | clock          | analog clock showing time    | turtles as clock's    | | 
 | |                | of your computer             | hands, ontimer        | | 
 | +----------------+------------------------------+-----------------------+ | 
 | | colormixer     | experiment with r, g, b      | :func:`ondrag`        | | 
 | +----------------+------------------------------+-----------------------+ | 
 | | fractalcurves  | Hilbert & Koch curves        | recursion             | | 
 | +----------------+------------------------------+-----------------------+ | 
 | | lindenmayer    | ethnomathematics             | L-System              | | 
 | |                | (indian kolams)              |                       | | 
 | +----------------+------------------------------+-----------------------+ | 
 | | minimal_hanoi  | Towers of Hanoi              | Rectangular Turtles   | | 
 | |                |                              | as Hanoi discs        | | 
 | |                |                              | (shape, shapesize)    | | 
 | +----------------+------------------------------+-----------------------+ | 
 | | nim            | play the classical nim game  | turtles as nimsticks, | | 
 | |                | with three heaps of sticks   | event driven (mouse,  | | 
 | |                | against the computer.        | keyboard)             | | 
 | +----------------+------------------------------+-----------------------+ | 
 | | paint          | super minimalistic           | :func:`onclick`       | | 
 | |                | drawing program              |                       | | 
 | +----------------+------------------------------+-----------------------+ | 
 | | peace          | elementary                   | turtle: appearance    | | 
 | |                |                              | and animation         | | 
 | +----------------+------------------------------+-----------------------+ | 
 | | penrose        | aperiodic tiling with        | :func:`stamp`         | | 
 | |                | kites and darts              |                       | | 
 | +----------------+------------------------------+-----------------------+ | 
 | | planet_and_moon| simulation of                | compound shapes,      | | 
 | |                | gravitational system         | :class:`Vec2D`        | | 
 | +----------------+------------------------------+-----------------------+ | 
 | | round_dance    | dancing turtles rotating     | compound shapes, clone| | 
 | |                | pairwise in opposite         | shapesize, tilt,      | | 
 | |                | direction                    | get_shapepoly, update | | 
 | +----------------+------------------------------+-----------------------+ | 
 | | tree           | a (graphical) breadth        | :func:`clone`         | | 
 | |                | first tree (using generators)|                       | | 
 | +----------------+------------------------------+-----------------------+ | 
 | | wikipedia      | a pattern from the wikipedia | :func:`clone`,        | | 
 | |                | article on turtle graphics   | :func:`undo`          | | 
 | +----------------+------------------------------+-----------------------+ | 
 | | yingyang       | another elementary example   | :func:`circle`        | | 
 | +----------------+------------------------------+-----------------------+ | 
 |  | 
 | Have fun! | 
 |  | 
 |  | 
 | Changes since Python 2.6 | 
 | ======================== | 
 |  | 
 | - The methods :meth:`Turtle.tracer`, :meth:`Turtle.window_width` and | 
 |   :meth:`Turtle.window_height` have been eliminated. | 
 |   Methods with these names and functionality are now available only | 
 |   as methods of :class:`Screen`. The functions derived from these remain | 
 |   available. (In fact already in Python 2.6 these methods were merely | 
 |   duplications of the corresponding | 
 |   :class:`TurtleScreen`/:class:`Screen`-methods.) | 
 |  | 
 | - The method :meth:`Turtle.fill` has been eliminated. | 
 |   The behaviour of :meth:`begin_fill` and :meth:`end_fill` | 
 |   have changed slightly: now  every filling-process must be completed with an | 
 |   ``end_fill()`` call. | 
 |  | 
 | - A method :meth:`Turtle.filling` has been added. It returns a boolean | 
 |   value: ``True`` if a filling process is under way, ``False`` otherwise. | 
 |   This behaviour corresponds to a ``fill()`` call without arguments in | 
 |   Python 2.6. | 
 |  | 
 | Changes since Python 3.0 | 
 | ======================== | 
 |  | 
 | - The methods :meth:`Turtle.shearfactor`, :meth:`Turtle.shapetransform` and | 
 |   :meth:`Turtle.get_shapepoly` have been added. Thus the full range of | 
 |   regular linear transforms is now available for transforming turtle shapes. | 
 |   :meth:`Turtle.tiltangle` has been enhanced in functionality: it now can | 
 |   be used to get or set the tiltangle. :meth:`Turtle.settiltangle` has been | 
 |   deprecated. | 
 |  | 
 | - The method :meth:`Screen.onkeypress` has been added as a complement to | 
 |   :meth:`Screen.onkey` which in fact binds actions to the keyrelease event. | 
 |   Accordingly the latter has got an alias: :meth:`Screen.onkeyrelease`. | 
 |  | 
 | - The method  :meth:`Screen.mainloop` has been added. So when working only | 
 |   with Screen and Turtle objects one must not additonally import | 
 |   :func:`mainloop` anymore. | 
 |  | 
 | - Two input methods has been added :meth:`Screen.textinput` and | 
 |   :meth:`Screen.numinput`. These popup input dialogs and return | 
 |   strings and numbers respectively. | 
 |  | 
 | - Two example scripts :file:`tdemo_nim.py` and :file:`tdemo_round_dance.py` | 
 |   have been added to the :file:`Lib/turtledemo` directory. | 
 |  | 
 |  | 
 | .. doctest:: | 
 |    :hide: | 
 |  | 
 |    >>> for turtle in turtles(): | 
 |    ...      turtle.reset() | 
 |    >>> turtle.penup() | 
 |    >>> turtle.goto(-200,25) | 
 |    >>> turtle.pendown() | 
 |    >>> turtle.write("No one expects the Spanish Inquisition!", | 
 |    ...      font=("Arial", 20, "normal")) | 
 |    >>> turtle.penup() | 
 |    >>> turtle.goto(-100,-50) | 
 |    >>> turtle.pendown() | 
 |    >>> turtle.write("Our two chief Turtles are...", | 
 |    ...      font=("Arial", 16, "normal")) | 
 |    >>> turtle.penup() | 
 |    >>> turtle.goto(-450,-75) | 
 |    >>> turtle.write(str(turtles())) |