Difficult-Rocket/libs/pyglet/shapes.py

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# Copyright (c) 2006-2008 Alex Holkner
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"""2D shapes.

This module provides classes for a variety of simplistic 2D shapes,
such as Rectangles, Circles, and Lines. These shapes are made
internally from OpenGL primitives, and provide excellent performance
when drawn as part of a :py:class:`~pyglet.graphics.Batch`.
Convenience methods are provided for positioning, changing color
and opacity, and rotation (where applicable). To create more
complex shapes than what is provided here, the lower level
graphics API is more appropriate.
See the :ref:`guide_graphics` for more details.

A simple example of drawing shapes::

    import pyglet
    from pyglet import shapes

    window = pyglet.window.Window(960, 540)
    batch = pyglet.graphics.Batch()

    circle = shapes.Circle(700, 150, 100, color=(50, 225, 30), batch=batch)
    square = shapes.Rectangle(200, 200, 200, 200, color=(55, 55, 255), batch=batch)
    rectangle = shapes.Rectangle(250, 300, 400, 200, color=(255, 22, 20), batch=batch)
    rectangle.opacity = 128
    rectangle.rotation = 33
    line = shapes.Line(100, 100, 100, 200, width=19, batch=batch)
    line2 = shapes.Line(150, 150, 444, 111, width=4, color=(200, 20, 20), batch=batch)
    star = shapes.Star(800, 400, 60, 40, num_spikes=20, color=(255, 255, 0), batch=batch)

    @window.event
    def on_draw():
        window.clear()
        batch.draw()

    pyglet.app.run()



.. versionadded:: 1.5.4
"""

import math

import pyglet

from pyglet.gl import GL_SRC_ALPHA, GL_ONE_MINUS_SRC_ALPHA
from pyglet.gl import GL_TRIANGLES, GL_LINES, GL_BLEND
from pyglet.gl import glBlendFunc, glEnable, glDisable
from pyglet.graphics import shader, Batch, ShaderGroup


vertex_source = """#version 150 core
    in vec2 position;
    in vec4 colors;

    out vec4 vertex_colors;

    uniform WindowBlock
    {
        mat4 projection;
        mat4 view;
    } window;

    void main()
    {
        gl_Position = window.projection * window.view * vec4(position, 0, 1);
        vertex_colors = colors;
    }
"""

fragment_source = """#version 150 core
    in vec4 vertex_colors;
    out vec4 final_color;

    void main()
    {
        final_color = vertex_colors;
    }
"""


def get_default_shader():
    try:
        return pyglet.gl.current_context.pyglet_shapes_default_shader
    except AttributeError:
        _default_vert_shader = pyglet.graphics.shader.Shader(vertex_source, 'vertex')
        _default_frag_shader = pyglet.graphics.shader.Shader(fragment_source, 'fragment')
        default_shader_program = pyglet.graphics.shader.ShaderProgram(_default_vert_shader, _default_frag_shader)
        pyglet.gl.current_context.pyglet_shapes_default_shader = default_shader_program
        return default_shader_program


class _ShapeGroup(ShaderGroup):
    """Shared Shape rendering Group.

    The group is automatically coalesced with other shape groups
    sharing the same parent group and blend parameters.
    """

    def __init__(self, blend_src, blend_dest, parent=None):
        """Create a Shape group.

        The group is created internally. Usually you do not
        need to explicitly create it.

        :Parameters:
            `blend_src` : int
                OpenGL blend source mode; for example,
                ``GL_SRC_ALPHA``.
            `blend_dest` : int
                OpenGL blend destination mode; for example,
                ``GL_ONE_MINUS_SRC_ALPHA``.
            `parent` : `~pyglet.graphics.Group`
                Optional parent group.
        """
        super().__init__(get_default_shader(), parent=parent)
        self.blend_src = blend_src
        self.blend_dest = blend_dest

    def set_state(self):
        self.program.bind()
        glEnable(GL_BLEND)
        glBlendFunc(self.blend_src, self.blend_dest)

    def unset_state(self):
        glDisable(GL_BLEND)
        self.program.unbind()

    def __eq__(self, other):
        return (other.__class__ is self.__class__ and
                self.parent == other.parent and
                self.order == other.order and
                self.blend_src == other.blend_src and
                self.blend_dest == other.blend_dest and
                self.program == other.program)

    def __hash__(self):
        return hash((id(self.parent), self.blend_src, self.blend_dest, self.order, self.program))


class _ShapeBase:
    """Base class for Shape objects"""

    _rgb = (255, 255, 255)
    _opacity = 255
    _visible = True
    _x = 0
    _y = 0
    _anchor_x = 0
    _anchor_y = 0
    _batch = None
    _group = None
    _vertex_list = None

    def __del__(self):
        if self._vertex_list is not None:
            self._vertex_list.delete()

    def _update_position(self):
        raise NotImplementedError

    def _update_color(self):
        raise NotImplementedError

    def draw(self):
        """Draw the shape at its current position.

        Using this method is not recommended. Instead, add the
        shape to a `pyglet.graphics.Batch` for efficient rendering.
        """
        self._group.set_state_recursive()
        self._vertex_list.draw(GL_TRIANGLES)
        self._group.unset_state_recursive()

    def delete(self):
        self._vertex_list.delete()
        self._vertex_list = None

    @property
    def x(self):
        """X coordinate of the shape.

        :type: int or float
        """
        return self._x

    @x.setter
    def x(self, value):
        self._x = value
        self._update_position()

    @property
    def y(self):
        """Y coordinate of the shape.

        :type: int or float
        """
        return self._y

    @y.setter
    def y(self, value):
        self._y = value
        self._update_position()

    @property
    def position(self):
        """The (x, y) coordinates of the shape, as a tuple.

        :Parameters:
            `x` : int or float
                X coordinate of the sprite.
            `y` : int or float
                Y coordinate of the sprite.
        """
        return self._x, self._y

    @position.setter
    def position(self, values):
        self._x, self._y = values
        self._update_position()

    @property
    def anchor_x(self):
        """The X coordinate of the anchor point

        :type: int or float
        """
        return self._anchor_x

    @anchor_x.setter
    def anchor_x(self, value):
        self._anchor_x = value
        self._update_position()

    @property
    def anchor_y(self):
        """The Y coordinate of the anchor point

        :type: int or float
        """
        return self._anchor_y

    @anchor_y.setter
    def anchor_y(self, value):
        self._anchor_y = value
        self._update_position()

    @property
    def anchor_position(self):
        """The (x, y) coordinates of the anchor point, as a tuple.

        :Parameters:
            `x` : int or float
                X coordinate of the anchor point.
            `y` : int or float
                Y coordinate of the anchor point.
        """
        return self._anchor_x, self._anchor_y

    @anchor_position.setter
    def anchor_position(self, values):
        self._anchor_x, self._anchor_y = values
        self._update_position()

    @property
    def color(self):
        """The shape color.

        This property sets the color of the shape.

        The color is specified as an RGB tuple of integers '(red, green, blue)'.
        Each color component must be in the range 0 (dark) to 255 (saturated).

        :type: (int, int, int)
        """
        return self._rgb

    @color.setter
    def color(self, values):
        self._rgb = tuple(map(int, values))
        self._update_color()

    @property
    def opacity(self):
        """Blend opacity.

        This property sets the alpha component of the color of the shape.
        With the default blend mode (see the constructor), this allows the
        shape to be drawn with fractional opacity, blending with the
        background.

        An opacity of 255 (the default) has no effect.  An opacity of 128
        will make the shape appear translucent.

        :type: int
        """
        return self._opacity

    @opacity.setter
    def opacity(self, value):
        self._opacity = value
        self._update_color()

    @property
    def visible(self):
        """True if the shape will be drawn.

        :type: bool
        """
        return self._visible

    @visible.setter
    def visible(self, value):
        self._visible = value
        self._update_position()


class Arc(_ShapeBase):
    def __init__(self, x, y, radius, segments=None, angle=math.tau, start_angle=0,
                 closed=False, color=(255, 255, 255), batch=None, group=None):
        """Create an Arc.

        The Arc's anchor point (x, y) defaults to its center.

        :Parameters:
            `x` : float
                X coordinate of the circle.
            `y` : float
                Y coordinate of the circle.
            `radius` : float
                The desired radius.
            `segments` : int
                You can optionally specify how many distinct line segments
                the arc should be made from. If not specified it will be
                automatically calculated using the formula:
                `max(14, int(radius / 1.25))`.
            `angle` : float
                The angle of the arc, in radians. Defaults to tau (pi * 2),
                which is a full circle.
            `start_angle` : float
                The start angle of the arc, in radians. Defaults to 0.
            `closed` : bool
                If True, the ends of the arc will be connected with a line.
                defaults to False.
            `color` : (int, int, int)
                The RGB color of the circle, specified as a tuple of
                three ints in the range of 0-255.
            `batch` : `~pyglet.graphics.Batch`
                Optional batch to add the circle to.
            `group` : `~pyglet.graphics.Group`
                Optional parent group of the circle.
        """
        self._x = x
        self._y = y
        self._radius = radius
        self._segments = segments or max(14, int(radius / 1.25))
        self._num_verts = self._segments * 2 + (2 if closed else 0)

        self._rgb = color
        self._angle = angle
        self._start_angle = start_angle
        self._closed = closed
        self._rotation = 0

        self._batch = batch or Batch()
        self._group = _ShapeGroup(GL_SRC_ALPHA, GL_ONE_MINUS_SRC_ALPHA, group)

        self._vertex_list = self._batch.add(self._num_verts, GL_LINES, self._group, 'position2f', 'colors4Bn')

        self._update_position()
        self._update_color()

    def _update_position(self):
        if not self._visible:
            vertices = (0,) * self._segments * 4
        else:
            x = self._x + self._anchor_x
            y = self._y + self._anchor_y
            r = self._radius
            tau_segs = self._angle / self._segments
            start_angle = self._start_angle - math.radians(self._rotation)

            # Calculate the outer points of the arc:
            points = [(x + (r * math.cos((i * tau_segs) + start_angle)),
                       y + (r * math.sin((i * tau_segs) + start_angle))) for i in range(self._segments + 1)]

            # Create a list of doubled-up points from the points:
            vertices = []
            for i in range(len(points) - 1):
                line_points = *points[i], *points[i + 1]
                vertices.extend(line_points)

            if self._closed:
                chord_points = *points[-1], *points[0]
                vertices.extend(chord_points)

        self._vertex_list.position[:] = vertices

    def _update_color(self):
        self._vertex_list.colors[:] = [*self._rgb, int(self._opacity)] * self._num_verts

    @property
    def rotation(self):
        """Clockwise rotation of the arc, in degrees.

        The arc will be rotated about its (anchor_x, anchor_y)
        position.

        :type: float
        """
        return self._rotation

    @rotation.setter
    def rotation(self, rotation):
        self._rotation = rotation
        self._update_position()

    def draw(self):
        """Draw the shape at its current position.

        Using this method is not recommended. Instead, add the
        shape to a `pyglet.graphics.Batch` for efficient rendering.
        """
        self._vertex_list.draw(GL_LINES)


class Circle(_ShapeBase):
    def __init__(self, x, y, radius, segments=None, color=(255, 255, 255), batch=None, group=None):
        """Create a circle.

        The circle's anchor point (x, y) defaults to the center of the circle.

        :Parameters:
            `x` : float
                X coordinate of the circle.
            `y` : float
                Y coordinate of the circle.
            `radius` : float
                The desired radius.
            `segments` : int
                You can optionally specify how many distinct triangles
                the circle should be made from. If not specified it will
                be automatically calculated using the formula:
                `max(14, int(radius / 1.25))`.
            `color` : (int, int, int)
                The RGB color of the circle, specified as a tuple of
                three ints in the range of 0-255.
            `batch` : `~pyglet.graphics.Batch`
                Optional batch to add the circle to.
            `group` : `~pyglet.graphics.Group`
                Optional parent group of the circle.
        """
        self._x = x
        self._y = y
        self._radius = radius
        self._segments = segments or max(14, int(radius / 1.25))
        self._rgb = color

        self._batch = batch or Batch()
        self._group = _ShapeGroup(GL_SRC_ALPHA, GL_ONE_MINUS_SRC_ALPHA, group)

        self._vertex_list = self._batch.add(self._segments*3, GL_TRIANGLES, self._group, 'position2f', 'colors4Bn')
        self._update_position()
        self._update_color()

    def _update_position(self):
        if not self._visible:
            vertices = (0,) * self._segments * 6
        else:
            x = self._x + self._anchor_x
            y = self._y + self._anchor_y
            r = self._radius
            tau_segs = math.pi * 2 / self._segments

            # Calculate the outer points of the circle:
            points = [(x + (r * math.cos(i * tau_segs)),
                       y + (r * math.sin(i * tau_segs))) for i in range(self._segments)]

            # Create a list of triangles from the points:
            vertices = []
            for i, point in enumerate(points):
                triangle = x, y, *points[i - 1], *point
                vertices.extend(triangle)

        self._vertex_list.position[:] = vertices

    def _update_color(self):
        self._vertex_list.colors[:] = [*self._rgb, int(self._opacity)] * self._segments * 3

    @property
    def radius(self):
        """The radius of the circle.

        :type: float
        """
        return self._radius

    @radius.setter
    def radius(self, value):
        self._radius = value
        self._update_position()


class Ellipse(_ShapeBase):
    def __init__(self, x, y, a, b, color=(255, 255, 255), batch=None, group=None):
        """Create an ellipse.

        The ellipse's anchor point (x, y) defaults to the center of the ellipse.

        :Parameters:
            `x` : float
                X coordinate of the ellipse.
            `y` : float
                Y coordinate of the ellipse.
            `a` : float
                Semi-major axes of the ellipse.
            `b`: float
                Semi-minor axes of the ellipse.
            `color` : (int, int, int)
                The RGB color of the ellipse. specify as a tuple of
                three ints in the range of 0~255.
            `batch` : `~pyglet.graphics.Batch`
                Optional batch to add the circle to.
            `group` : `~pyglet.graphics.Group`
                Optional parent group of the circle.
        """
        self._x = x
        self._y = y
        self._a = a
        self._b = b
        self._rgb = color
        self._rotation = 0
        self._segments = int(max(a, b) / 1.25)
        self._num_verts = self._segments * 2

        self._batch = batch or Batch()
        self._group = _ShapeGroup(GL_SRC_ALPHA, GL_ONE_MINUS_SRC_ALPHA, group)
        self._vertex_list = self._batch.add(self._num_verts, GL_LINES, self._group, 'position2f', 'colors4Bn')

        self._update_position()
        self._update_color()

    def _update_position(self):
        if not self._visible:
            vertices = (0,) * self._num_verts * 4
        else:
            x = self._x + self._anchor_x
            y = self._y + self._anchor_y
            tau_segs = math.pi * 2 / self._segments

            # Calculate the points of the ellipse by formula:
            points = [(x + self._a * math.cos(i * tau_segs),
                       y + self._b * math.sin(i * tau_segs)) for i in range(self._segments + 1)]

            # Rotate all points:
            if self._rotation:
                r = -math.radians(self._rotation)
                cr = math.cos(r)
                sr = math.sin(r)
                now_points = []
                for point in points:
                    now_x = (point[0] - x) * cr - (point[1] - y) * sr + x
                    now_y = (point[1] - y) * cr + (point[0] - x) * sr + y
                    now_points.append((now_x, now_y))
                points = now_points

            # Create a list of lines from the points:
            vertices = []
            for i in range(len(points) - 1):
                line_points = *points[i], *points[i + 1]
                vertices.extend(line_points)
        self._vertex_list.position[:] = vertices

    def _update_color(self):
        self._vertex_list.colors[:] = [*self._rgb, int(self._opacity)] * self._num_verts

    @property
    def a(self):
        """The semi-major axes of the ellipse.

        :type: float
        """
        return self._a

    @a.setter
    def a(self, value):
        self._a = value
        self._update_position()

    @property
    def b(self):
        """The semi-minor axes of the ellipse.

        :type: float
        """
        return self._b

    @b.setter
    def b(self, value):
        self._b = value
        self._update_position()

    @property
    def rotation(self):
        """Clockwise rotation of the arc, in degrees.

        The arc will be rotated about its (anchor_x, anchor_y)
        position.

        :type: float
        """
        return self._rotation

    @rotation.setter
    def rotation(self, rotation):
        self._rotation = rotation
        self._update_position()

    def draw(self):
        """Draw the shape at its current position.

        Using this method is not recommended. Instead, add the
        shape to a `pyglet.graphics.Batch` for efficient rendering.
        """
        self._vertex_list.draw(GL_LINES)


class Sector(_ShapeBase):
    def __init__(self, x, y, radius, segments=None, angle=math.tau, start_angle=0,
                 color=(255, 255, 255), batch=None, group=None):
        """Create a Sector of a circle.

                The sector's anchor point (x, y) defaults to the center of the circle.

                :Parameters:
                    `x` : float
                        X coordinate of the sector.
                    `y` : float
                        Y coordinate of the sector.
                    `radius` : float
                        The desired radius.
                    `segments` : int
                        You can optionally specify how many distinct triangles
                        the sector should be made from. If not specified it will
                        be automatically calculated using the formula:
                        `max(14, int(radius / 1.25))`.
                    `angle` : float
                        The angle of the sector, in radians. Defaults to tau (pi * 2),
                        which is a full circle.
                    `start_angle` : float
                        The start angle of the sector, in radians. Defaults to 0.
                    `color` : (int, int, int)
                        The RGB color of the sector, specified as a tuple of
                        three ints in the range of 0-255.
                    `batch` : `~pyglet.graphics.Batch`
                        Optional batch to add the sector to.
                    `group` : `~pyglet.graphics.Group`
                        Optional parent group of the sector.
                """
        self._x = x
        self._y = y
        self._radius = radius
        self._segments = segments or max(14, int(radius / 1.25))

        self._rgb = color
        self._angle = angle
        self._start_angle = start_angle
        self._rotation = 0

        self._batch = batch or Batch()
        self._group = _ShapeGroup(GL_SRC_ALPHA, GL_ONE_MINUS_SRC_ALPHA, group)

        self._vertex_list = self._batch.add(self._segments * 3, GL_TRIANGLES, self._group, 'position2f', 'colors4Bn')
        self._update_position()
        self._update_color()

    def _update_position(self):
        if not self._visible:
            vertices = (0,) * self._segments * 6
        else:
            x = self._x + self._anchor_x
            y = self._y + self._anchor_y
            r = self._radius
            tau_segs = self._angle / self._segments
            start_angle = self._start_angle - math.radians(self._rotation)

            # Calculate the outer points of the sector.
            points = [(x + (r * math.cos((i * tau_segs) + start_angle)),
                       y + (r * math.sin((i * tau_segs) + start_angle))) for i in range(self._segments + 1)]

            # Create a list of triangles from the points
            vertices = []
            for i, point in enumerate(points[1:], start=1):
                triangle = x, y, *points[i - 1], *point
                vertices.extend(triangle)

        self._vertex_list.position[:] = vertices

    def _update_color(self):
        self._vertex_list.colors[:] = [*self._rgb, int(self._opacity)] * self._segments * 3

    @property
    def angle(self):
        """The angle of the sector.

        :type: float
        """
        return self._angle

    @angle.setter
    def angle(self, value):
        self._angle = value
        self._update_position()

    @property
    def start_angle(self):
        """The start angle of the sector.

        :type: float
        """
        return self._start_angle

    @start_angle.setter
    def start_angle(self, angle):
        self._start_angle = angle
        self._update_position()

    @property
    def radius(self):
        """The radius of the sector.

        :type: float
        """
        return self._radius

    @radius.setter
    def radius(self, value):
        self._radius = value
        self._update_position()

    @property
    def rotation(self):
        """Clockwise rotation of the sector, in degrees.

        The sector will be rotated about its (anchor_x, anchor_y)
        position.

        :type: float
        """
        return self._rotation

    @rotation.setter
    def rotation(self, rotation):
        self._rotation = rotation
        self._update_position()


class Line(_ShapeBase):
    def __init__(self, x, y, x2, y2, width=1, color=(255, 255, 255), batch=None, group=None):
        """Create a line.

        The line's anchor point defaults to the center of the line's
        width on the X axis, and the Y axis.

        :Parameters:
            `x` : float
                The first X coordinate of the line.
            `y` : float
                The first Y coordinate of the line.
            `x2` : float
                The second X coordinate of the line.
            `y2` : float
                The second Y coordinate of the line.
            `width` : float
                The desired width of the line.
            `color` : (int, int, int)
                The RGB color of the line, specified as a tuple of
                three ints in the range of 0-255.
            `batch` : `~pyglet.graphics.Batch`
                Optional batch to add the line to.
            `group` : `~pyglet.graphics.Group`
                Optional parent group of the line.
        """
        self._x = x
        self._y = y
        self._x2 = x2
        self._y2 = y2

        self._width = width
        self._rotation = math.degrees(math.atan2(y2 - y, x2 - x))
        self._rgb = color

        self._batch = batch or Batch()
        self._group = _ShapeGroup(GL_SRC_ALPHA, GL_ONE_MINUS_SRC_ALPHA, group)
        self._vertex_list = self._batch.add(6, GL_TRIANGLES, self._group, 'position2f', 'colors4Bn')
        self._update_position()
        self._update_color()

    def _update_position(self):
        if not self._visible:
            self._vertex_list.position[:] = (0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0)
        else:
            x1 = -self._anchor_y
            y1 = self._anchor_x - self._width / 2
            x = self._x
            y = self._y
            x2 = x1 + math.hypot(self._y2 - y, self._x2 - x)
            y2 = y1 + self._width

            r = math.atan2(self._y2 - y, self._x2 - x)
            cr = math.cos(r)
            sr = math.sin(r)
            ax = x1 * cr - y1 * sr + x
            ay = x1 * sr + y1 * cr + y
            bx = x2 * cr - y1 * sr + x
            by = x2 * sr + y1 * cr + y
            cx = x2 * cr - y2 * sr + x
            cy = x2 * sr + y2 * cr + y
            dx = x1 * cr - y2 * sr + x
            dy = x1 * sr + y2 * cr + y
            self._vertex_list.position[:] = (ax, ay, bx, by, cx, cy, ax, ay, cx, cy, dx, dy)

    def _update_color(self):
        self._vertex_list.colors[:] = [*self._rgb, int(self._opacity)] * 6

    @property
    def x2(self):
        """Second X coordinate of the shape.

        :type: int or float
        """
        return self._x2

    @x2.setter
    def x2(self, value):
        self._x2 = value
        self._update_position()

    @property
    def y2(self):
        """Second Y coordinate of the shape.

        :type: int or float
        """
        return self._y2

    @y2.setter
    def y2(self, value):
        self._y2 = value
        self._update_position()

    @property
    def position(self):
        """The (x, y, x2, y2) coordinates of the line, as a tuple.

        :Parameters:
            `x` : int or float
                X coordinate of the line.
            `y` : int or float
                Y coordinate of the line.
            `x2` : int or float
                X2 coordinate of the line.
            `y2` : int or float
                Y2 coordinate of the line.
        """
        return self._x, self._y, self._x2, self._y2

    @position.setter
    def position(self, values):
        self._x, self._y, self._x2, self._y2 = values
        self._update_position()


class Rectangle(_ShapeBase):
    def __init__(self, x, y, width, height, color=(255, 255, 255), batch=None, group=None):
        """Create a rectangle or square.

        The rectangle's anchor point defaults to the (x, y) coordinates,
        which are at the bottom left.

        :Parameters:
            `x` : float
                The X coordinate of the rectangle.
            `y` : float
                The Y coordinate of the rectangle.
            `width` : float
                The width of the rectangle.
            `height` : float
                The height of the rectangle.
            `color` : (int, int, int)
                The RGB color of the rectangle, specified as
                a tuple of three ints in the range of 0-255.
            `batch` : `~pyglet.graphics.Batch`
                Optional batch to add the rectangle to.
            `group` : `~pyglet.graphics.Group`
                Optional parent group of the rectangle.
        """
        self._x = x
        self._y = y
        self._width = width
        self._height = height
        self._rotation = 0
        self._rgb = color

        self._batch = batch or Batch()
        self._group = _ShapeGroup(GL_SRC_ALPHA, GL_ONE_MINUS_SRC_ALPHA, group)
        self._vertex_list = self._batch.add(6, GL_TRIANGLES, self._group, 'position2f', 'colors4Bn')
        self._update_position()
        self._update_color()

    def _update_position(self):
        if not self._visible:
            self._vertex_list.position[:] = (0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0)
        elif self._rotation:
            x1 = -self._anchor_x
            y1 = -self._anchor_y
            x2 = x1 + self._width
            y2 = y1 + self._height
            x = self._x
            y = self._y

            r = -math.radians(self._rotation)
            cr = math.cos(r)
            sr = math.sin(r)
            ax = x1 * cr - y1 * sr + x
            ay = x1 * sr + y1 * cr + y
            bx = x2 * cr - y1 * sr + x
            by = x2 * sr + y1 * cr + y
            cx = x2 * cr - y2 * sr + x
            cy = x2 * sr + y2 * cr + y
            dx = x1 * cr - y2 * sr + x
            dy = x1 * sr + y2 * cr + y
            self._vertex_list.position[:] = (ax, ay, bx, by, cx, cy, ax, ay, cx, cy, dx, dy)
        else:
            x1 = self._x - self._anchor_x
            y1 = self._y - self._anchor_y
            x2 = x1 + self._width
            y2 = y1 + self._height
            self._vertex_list.position[:] = (x1, y1, x2, y1, x2, y2, x1, y1, x2, y2, x1, y2)

    def _update_color(self):
        self._vertex_list.colors[:] = [*self._rgb, int(self._opacity)] * 6

    @property
    def width(self):
        """The width of the rectangle.

        :type: float
        """
        return self._width

    @width.setter
    def width(self, value):
        self._width = value
        self._update_position()

    @property
    def height(self):
        """The height of the rectangle.

        :type: float
        """
        return self._height

    @height.setter
    def height(self, value):
        self._height = value
        self._update_position()

    @property
    def rotation(self):
        """Clockwise rotation of the rectangle, in degrees.

        The Rectangle will be rotated about its (anchor_x, anchor_y)
        position.

        :type: float
        """
        return self._rotation

    @rotation.setter
    def rotation(self, rotation):
        self._rotation = rotation
        self._update_position()


class BorderedRectangle(_ShapeBase):
    def __init__(self, x, y, width, height, border=1, color=(255, 255, 255),
                 border_color=(100, 100, 100), batch=None, group=None):
        """Create a rectangle or square.

        The rectangle's anchor point defaults to the (x, y) coordinates,
        which are at the bottom left.

        :Parameters:
            `x` : float
                The X coordinate of the rectangle.
            `y` : float
                The Y coordinate of the rectangle.
            `width` : float
                The width of the rectangle.
            `height` : float
                The height of the rectangle.
            `border` : float
                The thickness of the border.
            `color` : (int, int, int)
                The RGB color of the rectangle, specified as
                a tuple of three ints in the range of 0-255.
            `border_color` : (int, int, int)
                The RGB color of the rectangle's border, specified as
                a tuple of three ints in the range of 0-255.
            `batch` : `~pyglet.graphics.Batch`
                Optional batch to add the rectangle to.
            `group` : `~pyglet.graphics.Group`
                Optional parent group of the rectangle.
        """
        self._x = x
        self._y = y
        self._width = width
        self._height = height
        self._rotation = 0
        self._border = border
        self._rgb = color
        self._brgb = border_color

        self._batch = batch or Batch()
        self._group = _ShapeGroup(GL_SRC_ALPHA, GL_ONE_MINUS_SRC_ALPHA, group)
        indices = [0, 1, 2, 0, 2, 3, 0, 4, 3, 4, 7, 3, 0, 1, 5, 0, 5, 4, 1, 2, 5, 5, 2, 6, 6, 2, 3, 6, 3, 7]
        self._vertex_list = self._batch.add_indexed(8, GL_TRIANGLES, self._group, indices, 'position2f', 'colors4Bn')
        self._update_position()
        self._update_color()

    def _update_position(self):
        if not self._visible:
            self._vertex_list.position = (0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0)
        elif self._rotation:
            b = self._border
            x = self._x
            y = self._y

            bx1 = -self._anchor_x
            by1 = -self._anchor_y
            bx2 = bx1 + self._width
            by2 = by1 + self._height
            ix1 = bx1 + b
            iy1 = by1 + b
            ix2 = bx2 - b
            iy2 = by2 - b

            r = -math.radians(self._rotation)
            cr = math.cos(r)
            sr = math.sin(r)

            bax = bx1 * cr - by1 * sr + x
            bay = bx1 * sr + by1 * cr + y
            bbx = bx2 * cr - by1 * sr + x
            bby = bx2 * sr + by1 * cr + y
            bcx = bx2 * cr - by2 * sr + x
            bcy = bx2 * sr + by2 * cr + y
            bdx = bx1 * cr - by2 * sr + x
            bdy = bx1 * sr + by2 * cr + y

            iax = ix1 * cr - iy1 * sr + x
            iay = ix1 * sr + iy1 * cr + y
            ibx = ix2 * cr - iy1 * sr + x
            iby = ix2 * sr + iy1 * cr + y
            icx = ix2 * cr - iy2 * sr + x
            icy = ix2 * sr + iy2 * cr + y
            idx = ix1 * cr - iy2 * sr + x
            idy = ix1 * sr + iy2 * cr + y

            self._vertex_list.position[:] = (iax, iay, ibx, iby, icx, icy, idx, idy,
                                             bax, bay, bbx, bby, bcx, bcy, bdx, bdy,)
        else:
            b = self._border
            bx1 = self._x - self._anchor_x
            by1 = self._y - self._anchor_y
            bx2 = bx1 + self._width
            by2 = by1 + self._height
            ix1 = bx1 + b
            iy1 = by1 + b
            ix2 = bx2 - b
            iy2 = by2 - b
            self._vertex_list.position[:] = (ix1, iy1, ix2, iy1, ix2, iy2, ix1, iy2,
                                             bx1, by1, bx2, by1, bx2, by2, bx1, by2,)

    def _update_color(self):
        opacity = int(self._opacity)
        self._vertex_list.colors[:] = [*self._rgb, opacity] * 4 + [*self._brgb, opacity] * 4

    @property
    def width(self):
        """The width of the rectangle.

        :type: float
        """
        return self._width

    @width.setter
    def width(self, value):
        self._width = value
        self._update_position()

    @property
    def height(self):
        """The height of the rectangle.

        :type: float
        """
        return self._height

    @height.setter
    def height(self, value):
        self._height = value
        self._update_position()

    @property
    def rotation(self):
        """Clockwise rotation of the rectangle, in degrees.

        The Rectangle will be rotated about its (anchor_x, anchor_y)
        position.

        :type: float
        """
        return self._rotation

    @rotation.setter
    def rotation(self, value):
        self._rotation = value
        self._update_position()

    @property
    def border_color(self):
        """The rectangle's border color.

        This property sets the color of the border of a bordered rectangle.

        The color is specified as an RGB tuple of integers '(red, green, blue)'.
        Each color component must be in the range 0 (dark) to 255 (saturated).

        :type: (int, int, int)
        """
        return self._brgb

    @border_color.setter
    def border_color(self, values):
        self._brgb = tuple(map(int, values))
        self._update_color()


class Triangle(_ShapeBase):
    def __init__(self, x, y, x2, y2, x3, y3, color=(255, 255, 255), batch=None, group=None):
        """Create a triangle.

        The triangle's anchor point defaults to the first vertex point.

        :Parameters:
            `x` : float
                The first X coordinate of the triangle.
            `y` : float
                The first Y coordinate of the triangle.
            `x2` : float
                The second X coordinate of the triangle.
            `y2` : float
                The second Y coordinate of the triangle.
            `x3` : float
                The third X coordinate of the triangle.
            `y3` : float
                The third Y coordinate of the triangle.
            `color` : (int, int, int)
                The RGB color of the triangle, specified as
                a tuple of three ints in the range of 0-255.
            `batch` : `~pyglet.graphics.Batch`
                Optional batch to add the triangle to.
            `group` : `~pyglet.graphics.Group`
                Optional parent group of the triangle.
        """
        self._x = x
        self._y = y
        self._x2 = x2
        self._y2 = y2
        self._x3 = x3
        self._y3 = y3
        self._rotation = 0

        self._rgb = color

        self._batch = batch or Batch()
        self._group = _ShapeGroup(GL_SRC_ALPHA, GL_ONE_MINUS_SRC_ALPHA, group)
        self._vertex_list = self._batch.add(3, GL_TRIANGLES, self._group, 'position2f', 'colors4Bn')
        self._update_position()
        self._update_color()

    def _update_position(self):
        if not self._visible:
            self._vertex_list.position[:] = (0, 0, 0, 0, 0, 0)
        else:
            anchor_x = self._anchor_x
            anchor_y = self._anchor_y
            x1 = self._x - anchor_x
            y1 = self._y - anchor_y
            x2 = self._x2 - anchor_x
            y2 = self._y2 - anchor_y
            x3 = self._x3 - anchor_x
            y3 = self._y3 - anchor_y
            self._vertex_list.position[:] = (x1, y1, x2, y2, x3, y3)

    def _update_color(self):
        self._vertex_list.colors[:] = [*self._rgb, int(self._opacity)] * 3

    @property
    def x2(self):
        """Second X coordinate of the shape.

        :type: int or float
        """
        return self._x2

    @x2.setter
    def x2(self, value):
        self._x2 = value
        self._update_position()

    @property
    def y2(self):
        """Second Y coordinate of the shape.

        :type: int or float
        """
        return self._y2

    @y2.setter
    def y2(self, value):
        self._y2 = value
        self._update_position()

    @property
    def x3(self):
        """Third X coordinate of the shape.

        :type: int or float
        """
        return self._x3

    @x3.setter
    def x3(self, value):
        self._x3 = value
        self._update_position()

    @property
    def y3(self):
        """Third Y coordinate of the shape.

        :type: int or float
        """
        return self._y3

    @y3.setter
    def y3(self, value):
        self._y3 = value
        self._update_position()

    @property
    def position(self):
        """The (x, y, x2, y2, x3, y3) coordinates of the triangle, as a tuple.

        :Parameters:
            `x` : int or float
                X coordinate of the triangle.
            `y` : int or float
                Y coordinate of the triangle.
            `x2` : int or float
                X2 coordinate of the triangle.
            `y2` : int or float
                Y2 coordinate of the triangle.
            `x3` : int or float
                X3 coordinate of the triangle.
            `y3` : int or float
                Y3 coordinate of the triangle.
        """
        return self._x, self._y, self._x2, self._y2, self._x3, self._y3

    @position.setter
    def position(self, values):
        self._x, self._y, self._x2, self._y2, self._x3, self._y3 = values
        self._update_position()


class Star(_ShapeBase):
    def __init__(self, x, y, outer_radius, inner_radius, num_spikes, rotation=0,
                 color=(255, 255, 255), batch=None, group=None) -> None:
        """Create a star.

        The star's anchor point (x, y) defaults to the center of the star.

        :Parameters:
            `x` : float
                The X coordinate of the star.
            `y` : float
                The Y coordinate of the star.
            `outer_radius` : float
                The desired outer radius of the star.
            `inner_radius` : float
                The desired inner radius of the star.
            `num_spikes` : float
                The desired number of spikes of the star.
            `rotation` : float
                The rotation of the star in degrees. A rotation of 0 degrees
                will result in one spike lining up with the X axis in
                positive direction.
            `color` : (int, int, int)
                The RGB color of the star, specified as
                a tuple of three ints in the range of 0-255.
            `batch` : `~pyglet.graphics.Batch`
                Optional batch to add the star to.
            `group` : `~pyglet.graphics.Group`
                Optional parent group of the star.
        """
        self._x = x
        self._y = y
        self._outer_radius = outer_radius
        self._inner_radius = inner_radius
        self._num_spikes = num_spikes
        self._rgb = color
        self._rotation = rotation

        self._batch = batch or Batch()
        self._group = _ShapeGroup(GL_SRC_ALPHA, GL_ONE_MINUS_SRC_ALPHA, group)

        self._vertex_list = self._batch.add(self._num_spikes*6, GL_TRIANGLES, self._group, 'position2f', 'colors4Bn')
        self._update_position()
        self._update_color()

    def _update_position(self):
        if not self._visible:
            vertices = (0, 0) * self._num_spikes * 6
        else:
            x = self._x + self._anchor_x
            y = self._y + self._anchor_y
            r_i = self._inner_radius
            r_o = self._outer_radius

            # get angle covered by each line (= half a spike)
            d_theta = math.pi / self._num_spikes

            # phase shift rotation
            phi = self._rotation / 180 * math.pi

            # calculate alternating points on outer and outer circles
            points = []
            for i in range(self._num_spikes):
                points.append((x + (r_o * math.cos(2*i * d_theta + phi)),
                               y + (r_o * math.sin(2*i * d_theta + phi))))
                points.append((x + (r_i * math.cos((2*i+1) * d_theta + phi)),
                               y + (r_i * math.sin((2*i+1) * d_theta + phi))))

            # create a list of doubled-up points from the points
            vertices = []
            for i, point in enumerate(points):
                triangle = x, y, *points[i - 1], *point
                vertices.extend(triangle)

        self._vertex_list.position[:] = vertices

    def _update_color(self):
        self._vertex_list.colors[:] = [*self._rgb, int(self._opacity)] * self._num_spikes * 6

    @property
    def outer_radius(self):
        """The outer radius of the star."""
        return self._outer_radius

    @outer_radius.setter
    def outer_radius(self, value):
        self._outer_radius = value
        self._update_position()

    @property
    def inner_radius(self):
        """The inner radius of the star."""
        return self._inner_radius

    @inner_radius.setter
    def inner_radius(self, value):
        self._inner_radius = value
        self._update_position()

    @property
    def num_spikes(self):
        """Number of spikes of the star."""
        return self._num_spikes

    @num_spikes.setter
    def num_spikes(self, value):
        self._num_spikes = value
        self._update_position()

    @property
    def rotation(self):
        """Rotation of the star, in degrees.
        """
        return self._rotation

    @rotation.setter
    def rotation(self, rotation):
        self._rotation = rotation
        self._update_position()


class Polygon(_ShapeBase):
    def __init__(self, *coordinates, color=(255, 255, 255), batch=None, group=None):
        """Create a convex polygon.

        The polygon's anchor point defaults to the first vertex point.

        :Parameters:
            `coordinates` : List[[int, int]]
                The coordinates for each point in the polygon.
            `color` : (int, int, int)
                The RGB color of the polygon, specified as
                a tuple of three ints in the range of 0-255.
            `batch` : `~pyglet.graphics.Batch`
                Optional batch to add the polygon to.
            `group` : `~pyglet.graphics.Group`
                Optional parent group of the polygon.
        """

        # len(self._coordinates) = the number of vertices and sides in the shape.
        self._coordinates = list(coordinates)

        self._rotation = 0

        self._rgb = color

        self._batch = batch or Batch()
        self._group = _ShapeGroup(GL_SRC_ALPHA, GL_ONE_MINUS_SRC_ALPHA, group)
        length = (len(self._coordinates) - 2) * 3
        self._vertex_list = self._batch.add(length, GL_TRIANGLES, self._group, 'position2f', 'colors4Bn')
        self._update_position()
        self._update_color()

    def _update_position(self):
        if not self._visible:
            self._vertex_list.vertices = tuple([0] * ((len(self._coordinates) - 2) * 6))
        elif self._rotation:
            # Adjust all coordinates by the anchor.
            anchor_x = self._anchor_x
            anchor_y = self._anchor_y
            coords = [[x - anchor_x, y - anchor_y] for x, y in self._coordinates]

            # Rotate the polygon around its first vertex.
            x, y = self._coordinates[0]
            r = -math.radians(self._rotation)
            cr = math.cos(r)
            sr = math.sin(r)

            for i, c in enumerate(coords):
                c = [c[0] - x, c[1] - y]
                c = [c[0] * cr - c[1] * sr + x, c[0] * sr + c[1] * cr + y]
                coords[i] = c

            # Triangulate the convex polygon.
            triangles = []
            for n in range(len(coords) - 2):
                triangles += [coords[0], coords[n + 1], coords[n + 2]]

            # Flattening the list before setting vertices to it.
            self._vertex_list.position[:] = tuple(value for coordinate in triangles for value in coordinate)

        else:
            # Adjust all coordinates by the anchor.
            anchor_x = self._anchor_x
            anchor_y = self._anchor_y
            coords = [[x - anchor_x, y - anchor_y] for x, y in self._coordinates]

            # Triangulate the convex polygon.
            triangles = []
            for n in range(len(coords) - 2):
                triangles += [coords[0], coords[n + 1], coords[n + 2]]

            # Flattening the list before setting vertices to it.
            self._vertex_list.position[:] = tuple(value for coordinate in triangles for value in coordinate)

    def _update_color(self):
        self._vertex_list.colors[:] = [*self._rgb, int(self._opacity)] * ((len(self._coordinates) - 2) * 3)

    @property
    def x(self):
        """X coordinate of the shape.

        :type: int or float
        """
        return self._coordinates[0][0]

    @x.setter
    def x(self, value):
        self._coordinates[0][0] = value
        self._update_position()

    @property
    def y(self):
        """Y coordinate of the shape.

        :type: int or float
        """
        return self._coordinates[0][1]

    @y.setter
    def y(self, value):
        self._coordinates[0][1] = value
        self._update_position()

    @property
    def position(self):
        """The (x, y) coordinates of the shape, as a tuple.

        :Parameters:
            `x` : int or float
                X coordinate of the shape.
            `y` : int or float
                Y coordinate of the shape.
        """
        return self._coordinates[0][0], self._coordinates[0][1]

    @position.setter
    def position(self, values):
        self._coordinates[0][0], self._coordinates[0][1] = values
        self._update_position()

    @property
    def rotation(self):
        """Clockwise rotation of the polygon, in degrees.

        The Polygon will be rotated about its (anchor_x, anchor_y)
        position.

        :type: float
        """
        return self._rotation

    @rotation.setter
    def rotation(self, rotation):
        self._rotation = rotation
        self._update_position()


__all__ = ('Arc', 'Circle', 'Ellipse', 'Line', 'Rectangle', 'BorderedRectangle', 'Triangle', 'Star', 'Polygon', 'Sector')