1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
|
# ##### 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 #####
bl_addon_info = {
"name": "Torus Knots",
"author": "testscreenings",
"version": (0,1),
"blender": (2, 5, 3),
"api": 31885,
"location": "View3D > Add > Curve",
"description": "Adds many types of knots",
"warning": "",
"wiki_url": "http://wiki.blender.org/index.php/Extensions:2.5/Py/"\
"Scripts/Curve/Torus_Knot",
"tracker_url": "https://projects.blender.org/tracker/index.php?"\
"func=detail&aid=22403&group_id=153&atid=469",
"category": "Add Curve"}
##------------------------------------------------------------
#### import modules
import bpy
from bpy.props import *
from mathutils import *
from math import *
##------------------------------------------------------------
# calculates the matrix for the new object
# depending on user pref
def align_matrix(context):
loc = Matrix.Translation(context.scene.cursor_location)
obj_align = context.user_preferences.edit.object_align
if (context.space_data.type == 'VIEW_3D'
and obj_align == 'VIEW'):
rot = context.space_data.region_3d.view_matrix.rotation_part().invert().resize4x4()
else:
rot = Matrix()
align_matrix = loc * rot
return align_matrix
##------------------------------------------------------------
#### Curve creation functions
# get array of vertcoordinates acording to splinetype
def vertsToPoints(Verts):
vertArray = []
for v in Verts:
vertArray += v
vertArray.append(1) #for nurbs w=1
return vertArray
# create new CurveObject from vertarray and splineType
def createCurve(vertArray, props, align_matrix):
# options to vars
splineType = 'NURBS'
name = 'Torus_Knot'
# create curve
scene = bpy.context.scene
newCurve = bpy.data.curves.new(name, type = 'CURVE') # curvedatablock
newSpline = newCurve.splines.new(type = splineType) # spline
# create spline from vertarray
newSpline.points.add(int(len(vertArray)*0.25 - 1))
newSpline.points.foreach_set('co', vertArray)
newSpline.use_endpoint_u = True
# Curve settings
newCurve.dimensions = '3D'
newSpline.use_cyclic_u = True
newSpline.use_endpoint_u = True
newSpline.order_u = 4
if props.geo_surf:
newCurve.bevel_depth = props.geo_bDepth
newCurve.bevel_resolution = props.geo_bRes
newCurve.use_fill_front = False
newCurve.use_fill_back = False
newCurve.extrude = props.geo_extrude
#newCurve.offset = props.geo_width # removed, somehow screws things up all of a sudden
newCurve.resolution_u = props.geo_res
# create object with newCurve
new_obj = bpy.data.objects.new(name, newCurve) # object
scene.objects.link(new_obj) # place in active scene
new_obj.select = True # set as selected
scene.objects.active = new_obj # set as active
new_obj.matrix_world = align_matrix # apply matrix
return
########################################################################
####################### Knot Definitions ###############################
########################################################################
#### TORUS KNOT
def Torus_Knot_Curve(p=2, q=3, w=1, res=24, formula=0, h=1, u=1 ,v=1, rounds=2):
newPoints = []
angle = 2*rounds
step = angle/(res-1)
scale = h
height = w
for i in range(res-1):
t = ( i*step*pi)
x = (2 * scale + cos((q*t)/p*v)) * cos(t * u)
y = (2 * scale + cos((q*t)/p*v)) * sin(t * u)
z = sin(q*t/p) * height
newPoints.append([x,y,z])
return newPoints
##------------------------------------------------------------
# Main Function
def main(context, props, align_matrix):
# deselect all objects
bpy.ops.object.select_all(action='DESELECT')
# get verts
verts = Torus_Knot_Curve(props.torus_p,
props.torus_q,
props.torus_w,
props.torus_res,
props.torus_formula,
props.torus_h,
props.torus_u,
props.torus_v,
props.torus_rounds)
# turn verts into array
vertArray = vertsToPoints(verts)
# create object
createCurve(vertArray, props, align_matrix)
return
class torus_knot_plus(bpy.types.Operator):
''''''
bl_idname = "torus_knot_plus"
bl_label = "Torus Knot +"
bl_options = {'REGISTER', 'UNDO'}
bl_description = "adds many types of knots"
# align_matrix for the invoke
align_matrix = Matrix()
#### general options
options_plus = BoolProperty(name="plus options",
default=False,
description="Show more options (the plus part).")
#### GEO Options
geo_surf = BoolProperty(name="Surface",
default=True)
geo_bDepth = FloatProperty(name="bevel",
default=0.08,
min=0, soft_min=0)
geo_bRes = IntProperty(name="bevel res",
default=2,
min=0, soft_min=0,
max=4, soft_max=4)
geo_extrude = FloatProperty(name="extrude",
default=0.0,
min=0, soft_min=0)
geo_width = FloatProperty(name="width",
default=1.0,
min=0, soft_min=0)
geo_res = IntProperty(name="resolution",
default=12,
min=1, soft_min=1)
#### Parameters
torus_res = IntProperty(name="Resoulution",
default=200,
min=3, soft_min=3,
description='Resolution, Number of controlverticies.')
torus_p = IntProperty(name="p",
default=2,
min=1, soft_min=1,
#max=1, soft_max=1,
description="p")
torus_q = IntProperty(name="q",
default=3,
min=1, soft_min=1,
#max=1, soft_max=1,
description="q")
torus_w = FloatProperty(name="Height",
default=1,
#min=0, soft_min=0,
#max=1, soft_max=1,
description="Height in Z")
torus_h = FloatProperty(name="Scale",
default=1,
#min=0, soft_min=0,
#max=1, soft_max=1,
description="Scale, in XY")
torus_u = IntProperty(name="u",
default=1,
min=1, soft_min=1,
#max=1, soft_max=1,
description="u")
torus_v = IntProperty(name="v",
default=1,
min=1, soft_min=1,
#max=1, soft_max=1,
description="v")
torus_formula = IntProperty(name="Variation",
default=0,
min=0, soft_min=0,
max=10, soft_max=10)
torus_rounds = IntProperty(name="Rounds",
default=2,
min=1, soft_min=1,
#max=1, soft_max=1,
description="Rounds")
##### DRAW #####
def draw(self, context):
props = self.properties
layout = self.layout
# general options
col = layout.column()
#col.prop(props, 'KnotType') waits for more knottypes
col.label(text="Torus Knot Parameters")
# Parameters
box = layout.box()
box.prop(props, 'torus_res')
box.prop(props, 'torus_w')
box.prop(props, 'torus_h')
box.prop(props, 'torus_p')
box.prop(props, 'torus_q')
box.prop(props, 'options_plus')
if props.options_plus:
box.prop(props, 'torus_u')
box.prop(props, 'torus_v')
box.prop(props, 'torus_rounds')
# surface Options
col = layout.column()
col.label(text="Geometry Options")
box = layout.box()
box.prop(props, 'geo_surf')
if props.geo_surf:
box.prop(props, 'geo_bDepth')
box.prop(props, 'geo_bRes')
box.prop(props, 'geo_extrude')
#box.prop(props, 'geo_width') # not really good
box.prop(props, 'geo_res')
##### POLL #####
@classmethod
def poll(cls, context):
return context.scene != None
##### EXECUTE #####
def execute(self, context):
# turn off undo
undo = bpy.context.user_preferences.edit.use_global_undo
bpy.context.user_preferences.edit.use_global_undo = False
props = self.properties
if not self.options_plus:
self.torus_rounds = self.torus_p
# main function
main(context, props, self.align_matrix)
# restore pre operator undo state
bpy.context.user_preferences.edit.use_global_undo = undo
return {'FINISHED'}
##### INVOKE #####
def invoke(self, context, event):
# store creation_matrix
self.align_matrix = align_matrix(context)
self.execute(context)
return {'FINISHED'}
################################################################################
##### REGISTER #####
def torus_knot_plus_button(self, context):
self.layout.operator(torus_knot_plus.bl_idname, text="Torus Knot +", icon="PLUGIN")
def register():
bpy.types.INFO_MT_curve_add.append(torus_knot_plus_button)
def unregister():
bpy.types.INFO_MT_curve_add.remove(torus_knot_plus_button)
if __name__ == "__main__":
register()
|