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add_mesh_round_cube.py
lijenstina authored
Bumped version to 0.3.2 Wall Factory: Fix crash with Wall Factory when openings and slots are enabled (unorderable types: opening() < opening()) with the repeat option on as the sort function compared stored classes instead of the numerical values Fix the module not working properly after (F8) reload Cleanup - consistent prop definitions Remove star imports Small UI reorganization to save vertical space The code will probably need some further refactor as the usage of globals is not so clear add_mesh_triangles: cleanup, remove unused vars add missing GPL notice, some UI tweaks, add tooltip add_mesh_pyramid: indentation cleanup add_mesh_beam_builder: add an option to snap to cursor add_mesh_teapot: use defs instead of assigning lambdas (E731)
add_mesh_round_cube.py 17.04 KiB
# GPL # Author: Alain Ducharme (phymec)
import bpy
from bpy_extras import object_utils
from itertools import permutations
from math import (
copysign, pi,
sqrt,
)
from bpy.types import Operator
from bpy.props import (
BoolProperty,
EnumProperty,
FloatProperty,
FloatVectorProperty,
IntProperty
)
def round_cube(radius=1.0, arcdiv=4, lindiv=0., size=(0., 0., 0.),
div_type='CORNERS', odd_axis_align=False, info_only=False):
# subdiv bitmasks
CORNERS, EDGES, ALL = 0, 1, 2
try:
subdiv = ('CORNERS', 'EDGES', 'ALL').index(div_type)
except ValueError:
subdiv = CORNERS # fallback
radius = max(radius, 0.)
if not radius:
# No sphere
arcdiv = 1
odd_axis_align = False
if arcdiv <= 0:
arcdiv = max(round(pi * radius * lindiv * 0.5), 1)
arcdiv = max(round(arcdiv), 1)
if lindiv <= 0. and radius:
lindiv = 1. / (pi / (arcdiv * 2.) * radius)
lindiv = max(lindiv, 0.)
if not lindiv:
subdiv = CORNERS
odd = arcdiv % 2 # even = arcdiv % 2 ^ 1
step_size = 2. / arcdiv
odd_aligned = 0
vi = -1.
steps = arcdiv + 1
if odd_axis_align and odd:
odd_aligned = 1
vi += 0.5 * step_size
steps = arcdiv
axis_aligned = not odd or odd_aligned
if arcdiv == 1 and not odd_aligned and subdiv == EDGES:
subdiv = CORNERS
half_chord = 0. # ~ spherical cap base radius
sagitta = 0. # ~ spherical cap height
if not axis_aligned:
half_chord = sqrt(3.) * radius / (3. * arcdiv)
id2 = 1. / (arcdiv * arcdiv)
sagitta = radius - radius * sqrt(id2 * id2 / 3. - id2 + 1.)
# Extrusion per axis
exyz = [0. if s < 2. * (radius - sagitta) else (s - 2. * (radius - sagitta)) * 0.5 for s in size]
ex, ey, ez = exyz
dxyz = [0, 0, 0] # extrusion divisions per axis
dssxyz = [0., 0., 0.] # extrusion division step sizes per axis
for i in range(3):
sc = 2. * (exyz[i] + half_chord)
dxyz[i] = round(sc * lindiv) if subdiv else 0
if dxyz[i]:
dssxyz[i] = sc / dxyz[i]
dxyz[i] -= 1
else:
dssxyz[i] = sc
if info_only:
ec = sum(1 for n in exyz if n)
if subdiv:
fxyz = [d + (e and axis_aligned) for d, e in zip(dxyz, exyz)]
dvc = arcdiv * 4 * sum(fxyz)
if subdiv == ALL:
dvc += sum(p1 * p2 for p1, p2 in permutations(fxyz, 2))
elif subdiv == EDGES and axis_aligned:
# (0, 0, 2, 4) * sum(dxyz) + (0, 0, 2, 6)
dvc += ec * ec // 2 * sum(dxyz) + ec * (ec - 1)
else:
dvc = (arcdiv * 4) * ec + ec * (ec - 1) if axis_aligned else 0
vert_count = int(6 * arcdiv * arcdiv + (0 if odd_aligned else 2) + dvc)
if not radius and not max(size) > 0:
vert_count = 1
return arcdiv, lindiv, vert_count
if not radius and not max(size) > 0:
# Single vertex
return [(0, 0, 0)], []
# uv lookup table
uvlt = []
v = vi
for j in range(1, steps + 1):
v2 = v * v
uvlt.append((v, v2, radius * sqrt(18. - 6. * v2) / 6.))
v = vi + j * step_size # v += step_size # instead of accumulating errors
# clear fp errors / signs at axis
if abs(v) < 1e-10:
v = 0.0
# Sides built left to right bottom up
# xp yp zp xd yd zd
sides = ((0, 2, 1, (-1, 1, 1)), # Y+ Front
(1, 2, 0, (-1, -1, 1)), # X- Left
(0, 2, 1, (1, -1, 1)), # Y- Back
(1, 2, 0, (1, 1, 1)), # X+ Right
(0, 1, 2, (-1, 1, -1)), # Z- Bottom
(0, 1, 2, (-1, -1, 1))) # Z+ Top
# side vertex index table (for sphere)
svit = [[[] for i in range(steps)] for i in range(6)]
# Extend svit rows for extrusion
yer = zer = 0
if ey:
yer = axis_aligned + (dxyz[1] if subdiv else 0)
svit[4].extend([[] for i in range(yer)])
svit[5].extend([[] for i in range(yer)])
if ez:
zer = axis_aligned + (dxyz[2] if subdiv else 0)
for side in range(4):
svit[side].extend([[] for i in range(zer)])
# Extend svit rows for odd_aligned
if odd_aligned:
for side in range(4):
svit[side].append([])
hemi = steps // 2
# Create vertices and svit without dups
vert = [0., 0., 0.]
verts = []
if arcdiv == 1 and not odd_aligned and subdiv == ALL:
# Special case: Grid Cuboid
for side, (xp, yp, zp, dir) in enumerate(sides):
svitc = svit[side]
rows = len(svitc)
if rows < dxyz[yp] + 2:
svitc.extend([[] for i in range(dxyz[yp] + 2 - rows)])
vert[zp] = (half_chord + exyz[zp]) * dir[zp]
for j in range(dxyz[yp] + 2):
vert[yp] = (j * dssxyz[yp] - half_chord - exyz[yp]) * dir[yp]
for i in range(dxyz[xp] + 2):
vert[xp] = (i * dssxyz[xp] - half_chord - exyz[xp]) * dir[xp]
if (side == 5) or ((i < dxyz[xp] + 1 and j < dxyz[yp] + 1) and (side < 4 or (i and j))):
svitc[j].append(len(verts))
verts.append(tuple(vert))
else:
for side, (xp, yp, zp, dir) in enumerate(sides):
svitc = svit[side]
exr = exyz[xp]
eyr = exyz[yp]
ri = 0 # row index
rij = zer if side < 4 else yer
if side == 5:
span = range(steps)
elif side < 4 or odd_aligned:
span = range(arcdiv)
else:
span = range(1, arcdiv)
ri = 1
for j in span: # rows
v, v2, mv2 = uvlt[j]
tv2mh = 1. / 3. * v2 - 0.5
hv2 = 0.5 * v2
if j == hemi and rij:
# Jump over non-edge row indices
ri += rij
for i in span: # columns
u, u2, mu2 = uvlt[i]
vert[xp] = u * mv2
vert[yp] = v * mu2
vert[zp] = radius * sqrt(u2 * tv2mh - hv2 + 1.)
vert[0] = (vert[0] + copysign(ex, vert[0])) * dir[0]
vert[1] = (vert[1] + copysign(ey, vert[1])) * dir[1]
vert[2] = (vert[2] + copysign(ez, vert[2])) * dir[2]
rv = tuple(vert)
if exr and i == hemi:
rx = vert[xp] # save rotated x
vert[xp] = rxi = (-exr - half_chord) * dir[xp]
if axis_aligned:
svitc[ri].append(len(verts))
verts.append(tuple(vert))
if subdiv:
offsetx = dssxyz[xp] * dir[xp]
for k in range(dxyz[xp]):
vert[xp] += offsetx
svitc[ri].append(len(verts))
verts.append(tuple(vert))
if eyr and j == hemi and axis_aligned:
vert[xp] = rxi
vert[yp] = -eyr * dir[yp]
svitc[hemi].append(len(verts))
verts.append(tuple(vert))
if subdiv:
offsety = dssxyz[yp] * dir[yp]
ry = vert[yp]
for k in range(dxyz[yp]):
vert[yp] += offsety
svitc[hemi + axis_aligned + k].append(len(verts))
verts.append(tuple(vert))
vert[yp] = ry
for k in range(dxyz[xp]):
vert[xp] += offsetx
svitc[hemi].append(len(verts))
verts.append(tuple(vert))
if subdiv & ALL:
for l in range(dxyz[yp]):
vert[yp] += offsety
svitc[hemi + axis_aligned + l].append(len(verts))
verts.append(tuple(vert))
vert[yp] = ry
vert[xp] = rx # restore
if eyr and j == hemi:
vert[yp] = (-eyr - half_chord) * dir[yp]
if axis_aligned:
svitc[hemi].append(len(verts))
verts.append(tuple(vert))
if subdiv:
offsety = dssxyz[yp] * dir[yp]
for k in range(dxyz[yp]):
vert[yp] += offsety
if exr and i == hemi and not axis_aligned and subdiv & ALL:
vert[xp] = rxi
for l in range(dxyz[xp]):
vert[xp] += offsetx
svitc[hemi + k].append(len(verts))
verts.append(tuple(vert))
vert[xp] = rx
svitc[hemi + axis_aligned + k].append(len(verts))
verts.append(tuple(vert))
svitc[ri].append(len(verts))
verts.append(rv)
ri += 1
# Complete svit edges (shared vertices)
# Sides' right edge
for side, rows in enumerate(svit[:4]):
for j, row in enumerate(rows[:-1]):
svit[3 if not side else side - 1][j].append(row[0])
# Sides' top edge
svit[0][-1].extend(svit[5][0])
svit[2][-1].extend(svit[5][-1][::-1])
for row in svit[5]:
svit[3][-1].insert(0, row[0])
svit[1][-1].append(row[-1])
if odd_aligned:
for side in svit[:4]:
side[-1].append(-1)
# Bottom edges
if odd_aligned:
svit[4].insert(0, [-1] + svit[2][0][-2::-1] + [-1])
for i, col in enumerate(svit[3][0][:-1]):
svit[4][i + 1].insert(0, col)
svit[4][i + 1].append(svit[1][0][-i - 2])
svit[4].append([-1] + svit[0][0][:-1] + [-1])
else:
svit[4][0].extend(svit[2][0][::-1])
for i, col in enumerate(svit[3][0][1:-1]):
svit[4][i + 1].insert(0, col)
svit[4][i + 1].append(svit[1][0][-i - 2])
svit[4][-1].extend(svit[0][0])
# Build faces
faces = []
if not axis_aligned:
hemi -= 1
for side, rows in enumerate(svit):
xp, yp = sides[side][:2]
oa4 = odd_aligned and side == 4
if oa4: # special case
hemi += 1
for j, row in enumerate(rows[:-1]):
tri = odd_aligned and (oa4 and not j or rows[j + 1][-1] < 0)
for i, vi in enumerate(row[:-1]):
# odd_aligned triangle corners
if vi < 0:
if not j and not i:
faces.append((row[i + 1], rows[j + 1][i + 1], rows[j + 1][i]))
elif oa4 and not i and j == len(rows) - 2:
faces.append((vi, row[i + 1], rows[j + 1][i + 1]))
elif tri and i == len(row) - 2:
if j:
faces.append((vi, row[i + 1], rows[j + 1][i]))
else:
if oa4 or arcdiv > 1:
faces.append((vi, rows[j + 1][i + 1], rows[j + 1][i]))
else:
faces.append((vi, row[i + 1], rows[j + 1][i]))
# subdiv = EDGES (not ALL)
elif subdiv and len(rows[j + 1]) < len(row) and (i >= hemi):
if (i == hemi):
faces.append((vi, row[i + 1 + dxyz[xp]], rows[j + 1 + dxyz[yp]][i + 1 + dxyz[xp]],
rows[j + 1 + dxyz[yp]][i]))
elif i > hemi + dxyz[xp]:
faces.append((vi, row[i + 1], rows[j + 1][i + 1 - dxyz[xp]], rows[j + 1][i - dxyz[xp]]))
elif subdiv and len(rows[j + 1]) > len(row) and (i >= hemi):
if (i > hemi):
faces.append((vi, row[i + 1], rows[j + 1][i + 1 + dxyz[xp]], rows[j + 1][i + dxyz[xp]]))
elif subdiv and len(row) < len(rows[0]) and i == hemi:
pass
else:
# Most faces...
faces.append((vi, row[i + 1], rows[j + 1][i + 1], rows[j + 1][i]))
if oa4:
hemi -= 1
return verts, faces
class AddRoundCube(Operator, object_utils.AddObjectHelper):
bl_idname = "mesh.primitive_round_cube_add"
bl_label = "Add Round Cube"
bl_description = ("Create mesh primitives: Quadspheres, "
"Capsules, Rounded Cuboids, 3D Grids etc")
bl_options = {"REGISTER", "UNDO", "PRESET"}
sanity_check_verts = 200000
vert_count = 0
radius = FloatProperty(
name="Radius",
description="Radius of vertices for sphere, capsule or cuboid bevel",
default=1.0, min=0.0, soft_min=0.01, step=10
)
size = FloatVectorProperty(
name="Size",
description="Size",
subtype='XYZ',
)
arc_div = IntProperty(
name="Arc Divisions",
description="Arc curve divisions, per quadrant, 0=derive from Linear",
default=4, min=1
)
lin_div = FloatProperty(
name="Linear Divisions",
description="Linear unit divisions (Edges/Faces), 0=derive from Arc",
default=0.0, min=0.0, step=100, precision=1
)
div_type = EnumProperty(
name='Type',
description='Division type',
items=(
('CORNERS', 'Corners', 'Sphere / Corners'),
('EDGES', 'Edges', 'Sphere / Corners and extruded edges (size)'),
('ALL', 'All', 'Sphere / Corners, extruded edges and faces (size)')),
default='CORNERS',
)
odd_axis_align = BoolProperty(
name='Odd Axis Align',
description='Align odd arc divisions with axes (Note: triangle corners!)',
)
no_limit = BoolProperty(
name='No Limit',
description='Do not limit to ' + str(sanity_check_verts) + ' vertices (sanity check)',
options={'HIDDEN'}
)
def execute(self, context):
if self.arc_div <= 0 and self.lin_div <= 0:
self.report({'ERROR'},
"Either Arc Divisions or Linear Divisions must be greater than zero")
return {'CANCELLED'}
if not self.no_limit:
if self.vert_count > self.sanity_check_verts:
self.report({'ERROR'}, 'More than ' + str(self.sanity_check_verts) +
' vertices! Check "No Limit" to proceed')
return {'CANCELLED'}
verts, faces = round_cube(self.radius, self.arc_div, self.lin_div,
self.size, self.div_type, self.odd_axis_align)
mesh = bpy.data.meshes.new('Roundcube')
mesh.from_pydata(verts, [], faces)
object_utils.object_data_add(context, mesh, operator=self)
return {'FINISHED'}
def check(self, context):
self.arcdiv, self.lindiv, self.vert_count = round_cube(
self.radius, self.arc_div, self.lin_div,
self.size, self.div_type, self.odd_axis_align,
True
)
return True
def invoke(self, context, event):
self.check(context)
return self.execute(context)
def draw(self, context):
layout = self.layout
layout.prop(self, 'radius')
layout.column().prop(self, 'size', expand=True)
box = layout.box()
row = box.row()
row.alignment = 'CENTER'
row.scale_y = 0.1
row.label('Divisions')
row = box.row()
col = row.column()
col.alignment = 'RIGHT'
col.label('Arc:')
col.prop(self, 'arc_div', text='')
col.label('[ {} ]'.format(self.arcdiv))
col = row.column()
col.alignment = 'RIGHT'
col.label('Linear:')
col.prop(self, 'lin_div', text='')
col.label('[ {:.3g} ]'.format(self.lindiv))
box.row().prop(self, 'div_type')
row = box.row()
row.active = self.arcdiv % 2
row.prop(self, 'odd_axis_align')
row = layout.row()
row.alert = self.vert_count > self.sanity_check_verts
row.prop(self, 'no_limit', text='No limit ({})'.format(self.vert_count))
col = layout.column(align=True)
col.prop(self, 'location', expand=True)
col = layout.column(align=True)
col.prop(self, 'rotation', expand=True)