def subdivide_face_split_rel_multiple(face, direction, splits):
sA = []
sA.append(face.vertices[direction])
lA = face.vertices[direction + 1]
sB = []
sB.append(face.vertices[direction + 3])
lB = face.vertices[(direction + 2) % len(face.vertices)]
for i in range(len(splits)):
sA.append(utils_vertex.vertex_between_rel(sA[0], lA,splits[i]))
sB.append(utils_vertex.vertex_between_rel(sB[0], lB,splits[i]))
sA.append(lA)
sB.append(lB)
result = []
for i in range(len(splits) + 1):
if(dir == 1):
f = Face([sB[i], sA[i], sA[i+1], sB[i+1]])
utils_face.face_copy_properties(face, f)
result.append(f)
else:
f = Face([sB[i], sB[i+1], sA[i+1], sA[i]])
utils_face.face_copy_properties(face, f)
result.append(f)
return result
def subdivide_face_offset_planar(face,offsets):
newPts = []
for i in range(len(face.vertices)):
iP = i - 1
if(iP < 0):
iP = len(face.vertices)-1
iN = (i + 1) % len(face.vertices)
v0 = face.vertices[iP]
v1 = face.vertices[i]
v2 = face.vertices[iN]
newPts.append(utils_vertex.vertex_offset_point(v0, v1, v2, offsets[iP], offsets[i]))
f = Face(newPts)
utils_face.face_copy_properties(face, f)
return f
def subdivide_face_extrude_tapered(face, height=0.0, fraction=0.5,doCap=True):
"""
Extrudes the face tapered like a window by creating an
offset face and quads between every original edge and the
corresponding new edge.
Arguments:
----------
face : mola.core.Face
The face to be extruded
height : float
The distance of the new face to the original face, default 0
fraction : float
The relative offset distance, 0: original vertex, 1: center point
default 0.5 (halfway)
"""
center_vertex = utils_face.face_center(face)
normal = utils_face.face_normal(face)
scaled_normal = utils_vertex.vertex_scale(normal, height)
# calculate new vertex positions
new_vertices = []
for i in range(len(face.vertices)):
n1 = face.vertices[i]
betw = utils_vertex.vertex_subtract(center_vertex, n1)
betw = utils_vertex.vertex_scale(betw, fraction)
nn = utils_vertex.vertex_add(n1, betw)
nn = utils_vertex.vertex_add(nn, scaled_normal)
new_vertices.append(nn)
new_faces = []
# create the quads along the edges
num = len(face.vertices)
for i in range(num):
n1 = face.vertices[i]
n2 = face.vertices[(i + 1) % num]
n3 = new_vertices[(i + 1) % num]
n4 = new_vertices[i]
new_face = Face([n1,n2,n3,n4])
new_faces.append(new_face)
# create the closing cap face
if doCap:
cap_face = Face(new_vertices)
new_faces.append(cap_face)
for new_face in new_faces:
utils_face.face_copy_properties(face,new_face)
return new_faces
def subdivide_face_split_offsets(face,offsets):
offsetFace = subdivide_face_offset_planar(face,offsets)
nOffsetFaces = 0
for o in offsets:
if(abs(o) > 0):
nOffsetFaces += 1
faces = []
for i in range(len(face.vertices)):
if(abs(offsets[i]) > 0):
i2 = (i + 1) % len(face.vertices)
f = Face([face.vertices[i], face.vertices[i2], offsetFace.vertices[i2], offsetFace.vertices[i]])
utils_face.face_copy_properties(face, f)
faces.append(f)
faces.append(offsetFace)
for f in faces:
if(utils_face.face_area(f) < 0):
f.vertices.reverse()
return faces
def subdivide_face_split_roof(face, height):
"""
Extrudes a pitched roof
Arguments:
----------
face : mola.core.Face
The face to be extruded
height : mola.core.Vertex
Th height of the roof
"""
faces = []
normal = utils_face.face_normal(face)
normal = utils_vertex.vertex_scale(normal,height)
if len(face.vertices) == 4:
ev1 = utils_vertex.vertex_center(face.vertices[0], face.vertices[1])
ev1 = utils_vertex.vertex_add(ev1, normal)
ev2 = utils_vertex.vertex_center(face.vertices[2], face.vertices[3])
ev2 = utils_vertex.vertex_add(ev2, normal)
faces.append(Face([face.vertices[0], face.vertices[1], ev1]))
faces.append(Face([face.vertices[1], face.vertices[2], ev2, ev1]))
faces.append(Face([face.vertices[2], face.vertices[3], ev2]))
faces.append(Face([face.vertices[3], face.vertices[0], ev1, ev2]))
for f in faces:
utils_face.face_copy_properties(face,f)
return faces
elif len(face.vertices) == 3:
ev1 = utils_vertex.vertex_center(face.vertices[0], face.vertices[1])
ev1 = utils_vertex.vertex_add(ev1, normal)
ev2 = utils_vertex.vertex_center(face.vertices[1], face.vertices[2])
ev2 = utils_vertex.vertex_add(ev2, normal)
faces.append(Face([face.vertices[0], face.vertices[1], ev1]))
faces.append(Face([face.vertices[1], ev2, ev1]))
faces.append(Face([face.vertices[1], face.vertices[2], ev2]))
faces.append(Face([face.vertices[2], face.vertices[0], ev1, ev2]))
for f in faces:
utils_face.face_copy_properties(face, f)
return faces
return [face]
def subdivide_face_extrude_to_point(face, point):
"""
Extrudes the face to a point by creating a
triangular face from each edge to the point.
Arguments:
----------
face : mola.core.Face
The face to be extruded
point : mola.core.Vertex
The point to extrude to
"""
numV = len(face.vertices)
faces = []
for i in range(numV):
v1 = face.vertices[i]
v2 = face.vertices[(i + 1) % numV]
f = Face([v1, v2, point])
utils_face.face_copy_properties(face, f)
faces.append(f)
return faces
def subdivide_face_extrude(face, height=0.0, capBottom=False, capTop=True):
"""
Extrudes the face straight by distance height.
Arguments:
----------
face : mola.core.Face
The face to be extruded
height : float
The extrusion distance, default 0
capBottom : bool
Toggle if bottom face (original face) should be created, default False
capTop : bool
Toggle if top face (extrusion face) should be created, default True
"""
normal=utils_face.face_normal(face)
normal=utils_vertex.vertex_scale(normal,height)
# calculate vertices
new_vertices=[]
for i in range(len(face.vertices)):
new_vertices.append(utils_vertex.vertex_add(face.vertices[i], normal))
# faces
new_faces=[]
if capBottom:
new_faces.append(face)
for i in range(len(face.vertices)):
i2=i+1
if i2>=len(face.vertices):
i2=0
v0=face.vertices[i]
v1=face.vertices[i2]
v2=new_vertices[i2]
v3=new_vertices[i]
new_faces.append(Face([v0,v1,v2,v3]))
if capTop:
new_faces.append(Face(new_vertices))
for new_face in new_faces:
utils_face.face_copy_properties(face,new_face)
return new_faces
def copy(self):
meshcopy = Mesh()
# if mesh has no topolgy constructed
if len(self.edges) == 0:
for f in self.faces:
vs = [Vertex(v.x,v.y,v.z) for v in f.vertices]
for nv,ov in zip(vs, f.vertices):
nv.fix = ov.fix
nv.generation = ov.generation
nf = meshcopy.add_face(vs)
utils_face.face_copy_properties(f,nf)
else:
meshcopy.vertices = [Vertex(v.x,v.y,v.z) for v in self.vertices]
for nv,ov in zip(meshcopy.vertices, self.vertices):
nv.fix = ov.fix
nv.generation = ov.generation
for f in self.faces:
vs = [meshcopy.vertices[self.vertices.index(v)] for v in f.vertices]
nf = meshcopy.add_face(vs)
utils_face.face_copy_properties(f,nf)
for e in self.edges:
iv1 = self.vertices.index(e.v1)
iv2 = self.vertices.index(e.v1)
ie1 = self.faces.index(e.face1)
ie2 = self.faces.index(e.face2)
v1c = meshcopy.vertices[iv1]
v2c = meshcopy.vertices[iv2]
edge = Edge(v1c,v2c)
v1c.edges.append(edge)
v2c.edges.append(edge)
meshcopy.edges.append(edge)
edge.face1 = meshcopy.faces[ie1]
edge.face2 = meshcopy.faces[ie2]
return meshcopy
def subdivide_face_split_rel_free_quad(face, indexEdge, split1, split2):
"""
Splits a quad in two new quads through the points specified
by relative position along the edge.
Arguments:
----------
face : mola.core.Face
The face to be extruded
indexEdge : int
direction of split, 0: 0->2, 1: 1->3
split1, split2 : float
relative position of split on each edge (0..1)
"""
# only works with quads, therefore return original face if triangular
if len(face.vertices) != 4:
return face
# constrain indexEdge to be either 0 or 1
indexEdge = indexEdge % 2
indexEdge1 = (indexEdge + 1) % len(face.vertices)
indexEdge2 = (indexEdge + 2) % len(face.vertices)
indexEdge3 = (indexEdge + 3) % len(face.vertices)
p1 = utils_vertex.vertex_between_rel(face.vertices[indexEdge],
face.vertices[indexEdge1], split1)
p2 = utils_vertex.vertex_between_rel(face.vertices[indexEdge2],
face.vertices[indexEdge3], split2)
faces = []
if indexEdge == 0:
f1 = Face([face.vertices[0], p1, p2, face.vertices[3]])
f2 = Face([p1, face.vertices[1], face.vertices[2], p2])
utils_face.face_copy_properties(face, f1)
utils_face.face_copy_properties(face, f2)
faces.extend([f1, f2])
elif indexEdge == 1:
f1 = Face([face.vertices[0], face.vertices[1], p1, p2])
f2 = Face([p2, p1, face.vertices[2], face.vertices[3]])
utils_face.face_copy_properties(face, f1)
utils_face.face_copy_properties(face, f2)
faces.extend([f1, f2])
return faces
def subdivide_face_split_grid(face,nU,nV):
"""
splits a triangle, quad or a rectangle into a regular grid
"""
if len(face.vertices) > 4:
print('too many vertices')
return face
if len(face.vertices) == 4:
vsU1 = _vertices_between(face.vertices[0], face.vertices[1], nU)
vsU2 = _vertices_between(face.vertices[3], face.vertices[2], nU)
gridVertices = []
for u in range(len(vsU1)):
gridVertices.append(_vertices_between(vsU1[u], vsU2[u], nV))
faces = []
for u in range(len(vsU1) - 1):
vs1 = gridVertices[u]
vs2 = gridVertices[u + 1]
for v in range(len(vs1) - 1):
#f = Face([vs1[v], vs1[v + 1], vs2[v + 1], vs2[v]])
f = Face([vs1[v], vs2[v], vs2[v + 1], vs1[v + 1]])
utils_face.face_copy_properties(face, f)
faces.append(f)
return faces
if len(face.vertices) == 3:
vsU1 = _vertices_between(face.vertices[0], face.vertices[1], nU)
vsU2 = _vertices_between(face.vertices[0], face.vertices[2], nU)
gridVertices = []
for u in range(1, len(vsU1)):
gridVertices.append(_vertices_between(vsU1[u], vsU2[u], nV))
faces = []
# triangles
v0 = face.vertices[0]
vs1 = gridVertices[0]
for v in range(len(vs1) - 1):
f = Face([v0,vs1[v],vs1[v + 1]])
utils_face.face_copy_properties(face, f)
faces.append(f)
for u in range(len(gridVertices) - 1):
vs1 = gridVertices[u]
vs2 = gridVertices[u + 1]
for v in range(len(vs1) - 1):
f = Face([vs1[v],vs1[v + 1], vs2[v + 1], vs2[v]])
utils_face.face_copy_properties(face, f)
faces.append(f)
return faces
def subdivide_face_split_frame(face, w):
"""
Creates an offset frame with quad corners. Works only with convex shapes.
Arguments:
----------
face : mola.core.Face
The face to be split
w : float
The width of the offset frame
"""
faces = []
innerVertices = []
for i in range(len(face.vertices)):
if (i == 0):
vp = face.vertices[len(face.vertices) - 1]
else:
vp = face.vertices[i - 1]
v = face.vertices[i]
vn = face.vertices[(i + 1) % len(face.vertices)]
vnn = face.vertices[(i + 2) % len(face.vertices)]
th1 = utils_vertex.vertex_angle_triangle(vp, v, vn)
th2 = utils_vertex.vertex_angle_triangle(v, vn, vnn)
w1 = w / math.sin(th1)
w2 = w / math.sin(th2)
vs1 = _vertices_frame(v, vn, w1, w2)
vs2 = _vertices_frame(
_vertices_frame(vp, v, w1, w1)[2],
_vertices_frame(vn, vnn, w2, w2)[1], w1, w2)
innerVertices.append(vs2[1])
f1 = Face([vs1[0], vs2[0], vs2[1], vs1[1]])
utils_face.face_copy_properties(face, f1)
f2 = Face([vs1[1], vs2[1], vs2[2], vs1[2]])
utils_face.face_copy_properties(face, f2)
faces.extend([f1, f2])
fInner = Face(innerVertices)
utils_face.face_copy_properties(face, fInner)
faces.append(fInner)
return faces
def subdivide_custom_triface_extrude_tapered_nonU(face,
height=0.0,
fraction=0.5,
doCap=True):
"""
Extrudes a triangular face tapered like a window by creating an
offset face and quads between every original edge and the
corresponding new edge. The vertices of the new edge which corresponds
to the shortest edge of the triangle are moved closer to the later,
while preserving the offset from its other edges
Arguments:
----------
face : mola.core.Face
The face to be extruded
height : float
The distance of the new face to the original face, default 0
fraction : float
The relative offset distance, 0: original vertex, 1: center point
default 0.5 (halfway)
"""
center_vertex = utils_face.face_center(face)
normal = utils_face.face_normal(face)
scaled_normal = utils_vertex.vertex_scale(normal, height)
minD = 9999999999999999
for i in range(len(face.vertices) - 1):
n1 = face.vertices[i]
for j in range(i + 1, len(face.vertices)):
n2 = face.vertices[j]
d = (n2.x - n1.x)**2.0 + (n2.y - n1.y)**2.0 + (n2.z - n1.z)**2.0
if d < minD:
minD = d
shortF_st = i
shortF_end = j
other = 3 - shortF_st - shortF_end
n_other = face.vertices[other]
betw_other = utils_vertex.vertex_subtract(center_vertex, n_other)
betw_other = utils_vertex.vertex_scale(betw_other, fraction)
nn_other = utils_vertex.vertex_add(n_other, betw_other)
nn_other = utils_vertex.vertex_add(nn_other, scaled_normal)
# calculate new vertex positions
new_vertices = []
for i in range(len(face.vertices)):
n1 = face.vertices[i]
betw = utils_vertex.vertex_subtract(center_vertex, n1)
betw = utils_vertex.vertex_scale(betw, fraction)
nn = utils_vertex.vertex_add(n1, betw)
nn = utils_vertex.vertex_add(nn, scaled_normal)
if i == shortF_st or i == shortF_end:
vec = utils_vertex.vertex_subtract(n1, nn_other)
vec = utils_vertex.vertex_scale(vec, 0.25)
nn = utils_vertex.vertex_add(nn, vec)
new_vertices.append(nn)
new_faces = []
# create the quads along the edges
num = len(face.vertices)
for i in range(num):
n1 = face.vertices[i]
n2 = face.vertices[(i + 1) % num]
n3 = new_vertices[(i + 1) % num]
n4 = new_vertices[i]
new_face = Face([n1, n2, n3, n4])
new_faces.append(new_face)
# create the closing cap face
if doCap:
cap_face = Face(new_vertices)
new_faces.append(cap_face)
for new_face in new_faces:
utils_face.face_copy_properties(face, new_face)
return new_faces
