# Blender.Geometry module and its subtypes
"""
The Blender.Geometry submodule.
Geometry
========
(when accessing it from the Game Engine use Geometry instead of Blender.Geometry)
This new module provides access to a geometry function.
"""
def PolyFill(polylines):
"""
Takes a list of polylines and calculates triangles that would fill in the polylines.
Multiple lines can be used to make holes inside a polyline, or fill in 2 seperate lines at once.
@type polylines: List of lists containing vectors, each representing a closed polyline.
@rtype: list
@return: a list if tuples each a tuple of 3 ints representing a triangle indexing the points given.
@note: 2D Vectors will have an assumed Z axis of zero, 4D Vectors W axis is ignored.
@note: The order of points in a polyline effect the direction returned triangles face, reverse the order of a polyline to flip the normal of returned faces.
I{B{Example:}}
The example below creates 2 polylines and fills them in with faces, then makes a mesh in the current scene::
import Blender
Vector= Blender.Mathutils.Vector
# Outline of 5 points
polyline1= [Vector(-2.0, 1.0, 1.0), Vector(-1.0, 2.0, 1.0), Vector(1.0, 2.0, 1.0), Vector(1.0, -1.0, 1.0), Vector(-1.0, -1.0, 1.0)]
polyline2= [Vector(-1, 1, 1.0), Vector(0, 1, 1.0), Vector(0, 0, 1.0), Vector(-1.0, 0.0, 1.0)]
fill= Blender.Geometry.PolyFill([polyline1, polyline2])
# Make a new mesh and add the truangles into it
me= Blender.Mesh.New()
me.verts.extend(polyline1)
me.verts.extend(polyline2)
me.faces.extend(fill) # Add the faces, they reference the verts in polyline 1 and 2
scn = Blender.Scene.GetCurrent()
ob = scn.objects.new(me)
Blender.Redraw()
"""
def LineIntersect2D(vec1, vec2, vec3, vec4):
"""
Takes 2 lines vec1, vec2 for the 2 points of the first line and vec2, vec3 for the 2 points of the second line.
@rtype: Vector
@return: a 2D Vector for the intersection or None where there is no intersection.
"""
def ClosestPointOnLine(pt, vec1, vec2):
"""
Takes 2 lines vec1, vec2 for the 2 points of the first line and vec2, vec3 for the 2 points of the second line.
@rtype: tuple
@return: a tuple containing a vector and a float, the vector is the closest point on the line, the float is the position on the line, between 0 and 1 the point is on the line.
"""
def PointInTriangle2D(pt, tri_pt1, tri_pt2, tri_pt3):
"""
Takes 4 vectors (one for the test point and 3 for the triangle)
This is a 2d function so only X and Y are used, Z and W will be ignored.
@rtype: int
@return: 1 for a clockwise intersection, -1 for counter clockwise intersection, 0 when there is no intersection.
"""
def PointInQuad2D(pt, quad_pt1, quad_pt2, quad_pt3):
"""
Takes 5 vectors (one for the test point and 5 for the quad)
This is a 2d function so only X and Y are used, Z and W will be ignored.
@rtype: int
@return: 1 for a clockwise intersection, -1 for counter clockwise intersection, 0 when there is no intersection.
"""
def BoxPack2D(boxlist):
"""
Takes a list of 2D boxes and packs them into a square.
Each box in boxlist must be a list of at least 4 items - [x,y,w,h], after running this script,
the X and Y values in each box will be moved to packed, non overlapping locations.
Example::
# Make 500 random boxes, pack them and make a mesh from it
from Blender import Geometry, Scene, Mesh
import random
boxes = []
for i in xrange(500):
boxes.append( [0,0, random.random()+0.1, random.random()+0.1] )
boxsize = Geometry.BoxPack2D(boxes)
print 'BoxSize', boxsize
me = Mesh.New()
for x in boxes:
me.verts.extend([(x[0],x[1], 0), (x[0],x[1]+x[3], 0), (x[0]+x[2],x[1]+x[3], 0), (x[0]+x[2],x[1], 0) ])
v1= me.verts[-1]
v2= me.verts[-2]
v3= me.verts[-3]
v4= me.verts[-4]
me.faces.extend([(v1,v2,v3,v4)])
scn = Scene.GetCurrent()
scn.objects.new(me)
@note: Each boxlist item can be longer then 4, the extra items are ignored and stay untouched.
@rtype: tuple
@return: a tuple pair - (width, height) of all the packed boxes.
"""
def BezierInterp(vec_knot_1, vec_handle_1, vec_handle_2, vec_knot_2, resolution):
"""
Takes 4 vectors representing a bezier curve and returns a list of vector points.
@note: any vector size is supported, the largest dimension from the input will be used for all returned vectors/
@rtype: list
@return: a list of vectors the size of resolution including the start and end points (vec_knot_1 and vec_knot_2)
"""