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add_mesh_torus.py
Simon Windmill (coolpowers)
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add_mesh_torus.py
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# ##### BEGIN GPL LICENSE BLOCK #####
#
# This program is free software; you can redistribute it and/or
# modify it under the terms of the GNU General Public License
# as published by the Free Software Foundation; either version 2
# of the License, or (at your option) any later version.
#
# This program is distributed in the hope that it will be useful,
# but WITHOUT ANY WARRANTY; without even the implied warranty of
# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
# GNU General Public License for more details.
#
# You should have received a copy of the GNU General Public License
# along with this program; if not, write to the Free Software Foundation,
# Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA.
#
# ##### END GPL LICENSE BLOCK #####
# <pep8-80 compliant>
import bpy
from bpy.types import Operator
from bpy.props import (
BoolProperty,
FloatProperty,
IntProperty,
)
from bpy.app.translations import pgettext_data as data_
from bpy_extras import object_utils
def add_torus(major_rad, minor_rad, major_seg, minor_seg):
from math import cos, sin, pi
from mathutils import Vector, Matrix
pi_2 = pi * 2.0
verts = []
faces = []
i1 = 0
tot_verts = major_seg * minor_seg
for major_index in range(major_seg):
matrix = Matrix.Rotation((major_index / major_seg) * pi_2, 3, 'Z')
for minor_index in range(minor_seg):
angle = pi_2 * minor_index / minor_seg
vec = matrix * Vector((major_rad + (cos(angle) * minor_rad),
0.0,
sin(angle) * minor_rad,
))
verts.extend(vec[:])
if minor_index + 1 == minor_seg:
i2 = (major_index) * minor_seg
i3 = i1 + minor_seg
i4 = i2 + minor_seg
else:
i2 = i1 + 1
i3 = i1 + minor_seg
i4 = i3 + 1
if i2 >= tot_verts:
i2 = i2 - tot_verts
if i3 >= tot_verts:
i3 = i3 - tot_verts
if i4 >= tot_verts:
i4 = i4 - tot_verts
faces.extend([i1, i3, i4, i2])
i1 += 1
return verts, faces
def add_uvs(mesh, minor_seg, major_seg):
from math import fmod
mesh.uv_textures.new()
uv_data = mesh.uv_layers.active.data
polygons = mesh.polygons
u_step = 1.0 / major_seg
v_step = 1.0 / minor_seg
# Round UV's, needed when segments aren't divisible by 4.
u_init = 0.5 + fmod(0.5, u_step)
v_init = 0.5 + fmod(0.5, v_step)
# Calculate wrapping value under 1.0 to prevent
# float precision errors wrapping at the wrong step.
u_wrap = 1.0 - (u_step / 2.0)
v_wrap = 1.0 - (v_step / 2.0)
vertex_index = 0
u_prev = u_init
u_next = u_prev + u_step
for major_index in range(major_seg):
v_prev = v_init
v_next = v_prev + v_step
for minor_index in range(minor_seg):
loops = polygons[vertex_index].loop_indices
uv_data[loops[0]].uv = u_prev, v_prev
uv_data[loops[1]].uv = u_next, v_prev
uv_data[loops[3]].uv = u_prev, v_next
uv_data[loops[2]].uv = u_next, v_next
if v_next > v_wrap:
v_prev = v_next - 1.0
else:
v_prev = v_next
v_next = v_prev + v_step
vertex_index += 1
if u_next > u_wrap:
u_prev = u_next - 1.0
else:
u_prev = u_next
u_next = u_prev + u_step
class AddTorus(Operator, object_utils.AddObjectHelper):
"""Add a torus mesh"""
bl_idname = "mesh.primitive_torus_add"
bl_label = "Add Torus"
bl_options = {'REGISTER', 'UNDO', 'PRESET'}
def mode_update_callback(self, context):
if self.mode == 'EXT_INT':
self.abso_major_rad = self.major_radius + self.minor_radius
self.abso_minor_rad = self.major_radius - self.minor_radius
major_segments = IntProperty(
name="Major Segments",
description="Number of segments for the main ring of the torus",
min=3, max=256,
default=48,
)
minor_segments = IntProperty(
name="Minor Segments",
description="Number of segments for the minor ring of the torus",
min=3, max=256,
default=12,
)
mode = bpy.props.EnumProperty(
name="Torus Dimensions",
items=(("MAJOR_MINOR", "Major/Minor",
"Use the major/minor radii for torus dimensions"),
("EXT_INT", "Exterior/Interior",
"Use the exterior/interior radii for torus dimensions")),
update=mode_update_callback,
)
major_radius = FloatProperty(
name="Major Radius",
description=("Radius from the origin to the "
"center of the cross sections"),
min=0.01, max=100.0,
default=1.0,
subtype='DISTANCE',
unit='LENGTH',
)
minor_radius = FloatProperty(
name="Minor Radius",
description="Radius of the torus' cross section",
min=0.01, max=100.0,
default=0.25,
subtype='DISTANCE',
unit='LENGTH',
)
abso_major_rad = FloatProperty(
name="Exterior Radius",
description="Total Exterior Radius of the torus",
min=0.01, max=100.0,
default=1.25,
subtype='DISTANCE',
unit='LENGTH',
)
abso_minor_rad = FloatProperty(
name="Interior Radius",
description="Total Interior Radius of the torus",
min=0.01, max=100.0,
default=0.75,
subtype='DISTANCE',
unit='LENGTH',
)
generate_uvs = BoolProperty(
name="Generate UVs",
description="Generate a default UV map",
default=False,
)
def draw(self, context):
layout = self.layout
col = layout.column(align=True)
col.prop(self, 'generate_uvs')
col.separator()
col.prop(self, 'view_align')
col = layout.column(align=True)
col.label(text="Location")
col.prop(self, "location", text="")
col = layout.column(align=True)
col.label(text="Rotation")
col.prop(self, "rotation", text="")
col = layout.column(align=True)
col.label(text="Major Segments")
col.prop(self, "major_segments", text="")
col = layout.column(align=True)
col.label(text="Minor Segments")
col.prop(self, "minor_segments", text="")
col = layout.column(align=True)
col.label(text="Torus Dimensions")
col.row().prop(self, "mode", expand=True)
if self.mode == 'MAJOR_MINOR':
col = layout.column(align=True)
col.label(text="Major Radius")
col.prop(self, "major_radius", text="")
col = layout.column(align=True)
col.label(text="Minor Radius")
col.prop(self, "minor_radius", text="")
else:
col = layout.column(align=True)
col.label(text="Exterior Radius")
col.prop(self, "abso_major_rad", text="")
col = layout.column(align=True)
col.label(text="Interior Radius")
col.prop(self, "abso_minor_rad", text="")
def invoke(self, context, event):
object_utils.object_add_grid_scale_apply_operator(self, context)
return self.execute(context)
def execute(self, context):
if self.mode == 'EXT_INT':
extra_helper = (self.abso_major_rad - self.abso_minor_rad) * 0.5
self.major_radius = self.abso_minor_rad + extra_helper
self.minor_radius = extra_helper
verts_loc, faces = add_torus(self.major_radius,
self.minor_radius,
self.major_segments,
self.minor_segments)
mesh = bpy.data.meshes.new(data_("Torus"))
mesh.vertices.add(len(verts_loc) // 3)
nbr_loops = len(faces)
nbr_polys = nbr_loops // 4
mesh.loops.add(nbr_loops)
mesh.polygons.add(nbr_polys)
mesh.vertices.foreach_set("co", verts_loc)
mesh.polygons.foreach_set("loop_start", range(0, nbr_loops, 4))
mesh.polygons.foreach_set("loop_total", (4,) * nbr_polys)
mesh.loops.foreach_set("vertex_index", faces)
if self.generate_uvs:
add_uvs(mesh, self.minor_segments, self.major_segments)
mesh.update()
object_utils.object_data_add(context, mesh, operator=self)
return {'FINISHED'}
classes = (
AddTorus,
)

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