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Begin work on quadtree
Quadtrees need a solid rectangle class in order to work, so doing that first. * docs/Geometry.rst - Add Rectangle references + pygorithm/data_structures/quadtree.py - incomplete skeleton * pygorithm/geometry/polygon2.py - minor documentation fix + pygorithm/geometry/rect2.py - fairly complete skeleton * tests/test_geometry.py - skeleton tests for rect2
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‎docs/Geometry.rst

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@@ -50,9 +50,11 @@ Features
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* Shapes available:
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- Concave Polygons (polygon2)
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- Rectangles (rect2)
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* Algorithms available:
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- Separating Axis Theorem (polygon2)
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- Broad-phase (rect2)
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Vector2
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-------
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:members:
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:special-members:
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Axis-Aligned Rectangle
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----------------------
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.. autoclass:: pygorithm.geometry.rect2.Rect2
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:members:
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:special-members:
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‎pygorithm/data_structures/quadtree.py

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"""
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Author: Timothy Moore
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Created On: 31th August 2017
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Defines a two-dimensional quadtree of arbitrary
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depth and bucket size.
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"""
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import inspect
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from pygorithm.geometry import (vector2, polygon2, rect2)
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class QuadTree(object):
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"""
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A quadtree is a sorting tool for two-dimensional space, most
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commonly used to reduce the number of required collision
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calculations in a two-dimensional scene. In this context,
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the scene is stepped without collision detection, then a
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quadtree is constructed from all of the boundaries
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"""
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@staticmethod
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def get_code():
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"""
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Get the code for the QuadTree class
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:returns: code for QuadTree
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:rtype: string
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"""
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return inspect.getsource(QuadTree)

‎pygorithm/geometry/polygon2.py

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@@ -407,8 +407,8 @@ def contains_point(polygon, offset, point):
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:type offset: :class:`pygorithm.geometry.vector2.Vector2` or None
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:param point: the point to check
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:type point: :class:`pygorithm.geometry.vector2.Vector2`
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:returns: (on edge, contained)
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:rtype: (bool, bool)
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:returns: on edge, contained
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:rtype: bool, bool
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"""
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_previous = polygon.points[0]

‎pygorithm/geometry/rect2.py

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"""
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Author: Timothy Moore
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Created On: 31th August 2017
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Defines a 2-dimensional axis-aligned rectangle.
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This rectangle does not act as a polygon, but
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there are similar collision methods that accept
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polygons.
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Unlike Polygon2s, Rect2s are very fast to construct.
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"""
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import math
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from pygorithm.geometry import (vector2, line2, axisall, polygon2)
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def Rect2(object):
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"""
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A rectangle. Uses SAT collision against polygons and
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broad-phase collision against other rectangles.
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Rectangles are fast to construct and have very fast
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rectangle-rectangle collision detection.
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Rect2 is designed to have almost exactly the opposite performance
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characteristics as Polygon2 when doing collision against
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Polygon2s: Fast to construct and complex on first call with
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many operations incurring expensive recalculations.
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.. caution::
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Collision detection against a rectangle with cause
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initialization of the polygon representation of a
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rectangle. This has the noticeable performance
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characteristics that are seen whenever a polygon
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is constructed (see :py:class:~`pygorithm.geometry.polygon2.Polygon2`).
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This operation recurrs only if width and height
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were modified.
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:ivar mincorner: the position of this polygon
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:vartype mincorner: :class:`pygorithm.geometry.vector2.Vector2`
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"""
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def __init__(self, width, height, mincorner=None):
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"""
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Create a new rectangle of width and height.
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If mincorner is None, the origin is assumed.
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:param width: width of this rect
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:type width: :class:`numbers.Number`
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:param height: height of this rect
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:type height: :class:`numbers.Number`
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:param mincorner: the position of this rect
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:type mincorner: :class:`pygorithm.geometry.vector2.Vector2` or None
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"""
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pass
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@property
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def polygon(self):
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"""
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Get the polygon representation of this rectangle, without
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the corners. Lazily initialized and up-to-date with width
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and height.
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.. caution::
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This does not include the mincorner (which should be passed as
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offset)
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:returns: polygon representation of this rectangle
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:rtype: :class:`pygorithm.geometry.polygon2.Polygon2`
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"""
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pass
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@property
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def width(self):
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"""
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Get or set the width of this rect.
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.. caution::
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Setting the width of the rectangle will remove the polygon
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caching required for rectangle-polygon collision.
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:returns: width of this rect
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:rtype: :class:`numbers.Number`
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"""
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pass
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@property.setter
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def width(self, value):
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pass
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@property
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def height(self):
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"""
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Get or set the height of this rect
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.. caution::
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Setting the height of the rectangle will remove the cached
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operations required for rectangle-polygon collision.
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:returns: height of this rect
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:rtype: :class:`numbers.Number`
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"""
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pass
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@property.setter
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def height(self, value):
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pass
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@property
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def area(self):
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"""
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Get the area of this rect
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:returns: area of this rect
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:rtype: :class:`numbers.Number`
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"""
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pass
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@staticmethod
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def project_onto_axis(rect, axis):
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"""
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Project the rect onto the specified axis.
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.. tip::
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This function is extremely fast for vertical or
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horizontal axises.
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:param rect: the rect to project
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:type rect: :class:`pygorithm.geometry.rect2.Rect2`
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:param axis: the axis to project onto
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:type axis: :class:`pygorithm.geometry.vector2.Vector2`
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:returns: the projection of the rect along axis
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:rtype: :class:`pygorithm.geometry.axisall.AxisAlignedLine`
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"""
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pass
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@staticmethod
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def contains_point(rect, point):
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"""
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Determine if the rect contains the point
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Distinguish between points that are on the edge of the
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rect and those that are not.
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.. tip::
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This will never return True, True
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:param rect: the rect
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:type rect: :class:`pygorithm.geometry.rect2.Rect2`
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:param point: the point
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:type point: :class:`pygorithm.geometry.vector2.Vector2`
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:returns: point on edge, point inside
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:rtype: bool, bool
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"""
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pass
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@staticmethod
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def find_intersection(*args, find_mtv=True):
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"""
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Determine the state of intersection between a rect and a
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polygon.
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For Rect-Polygon intersection:
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Must be passed in 3 arguments - a :py:class:~`pygorithm.geometry.rect2.Rect2`,
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a :py:class:~`pygorithm.geometry.polygon2.Polygon2`, and a
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:py:class:~`pygorithm.geometry.vector2.Vector2`. The vector must come immediately
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after the polygon, but the rect can be either the first or last unnamed argument.
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If it is the first argument, the mtv is against the rectangle. If it is the last
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argument, the mtv is against the polygon.
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For Rect-Rect intersection:
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Must be passed in 2 ar
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Examples:
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.. code-block:: python
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from pygorithm.geometry import (vector2, polygon2, rect2)
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octogon = polygon2.Polygon2.from_regular(8, 1)
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oct_offset = vector2.Vector2(0.5, 0)
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unit_square = rect2.Rect2(1, 1)
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# find mtv for square against octogon
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touching, overlapping, mtv = rect2.Rect2.find_intersection(unit_square, octogon, oct_offset)
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# find mtv for octogon against square
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touching, overlapping, mtv = rect2.Rect2.find_intersection(octogon, oct_offset, unit_square)
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# find intersection but skip mtv (two options)
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touching, overlapping, alwaysNone = rect2.Rect2.find_intersection(unit_square, octogon, oct_offset, find_mtv=False)
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touching, overlapping, alwaysNone = rect2.Rect2.find_intersection(octogon, oct_offset, unit_square, find_mtv=False)
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big_square = rect2.Rect2(2, 2, vector2.Vector2(-1.5, 0))
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# find mtv for square against big square
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touching, overlapping, mtv = rect2.Rect2.find_intersection(unit_square, big_square)
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# find mtv for big square against square
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touching, overlapping, mtv = rect2.Rect2.find_intersection(big_square, unit_square)
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:param args: 2 arguments for rect-rect, 3 arguments for rect-polygon (see above)
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:type args: list
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:param find_mtv: if mtv should be found where possible (default ``True``)
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:type find_mtv: bool
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:returns: (touching, overlapping, (mtv distance, mtv axis))
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:rtype: (bool, bool, (:class:`numbers.Number`, :class:`pygorithm.geometry.vector2.Vector2`) or None)
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"""
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pass
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def __repr__(self):
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"""
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Create an unambiguous representation of this rectangle.
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Example:
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.. code-block:: python
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from pygorithm.geometry import (vector2, rect2)
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unit_square = rect2.Rect2(1, 1, vector2.Vector2(3, 4))
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# prints rect2(width=1, height=1, mincorner=vector2(x=3, y=4))
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print(repr(unit_square))
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:returns: unambiguous representation of this rectangle
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:rtype: string
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"""
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pass
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def __str__(self):
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"""
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Create a human readable representation of this rectangle
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Example:
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.. code-block:: python
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from pygorithm.geometry import (vector2, rect2)
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unit_square = rect2.Rect2(1, 1, vector2.Vector2(3, 4))
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ugly_Rect = rect2.Rect2(0.7071234, 0.7079876, vector2.Vector2(0.56789123, 0.876543))
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# prints rect(1x1 at <3, 4>)
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print(str(unit_square))
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# prints rect(0.707x0.708 at <0.568, 0.877>)
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"""
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pass

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