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
|
# ##### 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 #####
import bpy
import Mathutils
from math import *
from bpy.props import *
bl_addon_info = {
'name': 'Add Mesh: 3D Function Surface',
'author': 'Buerbaum Martin (Pontiac)',
'version': '0.2.3',
'blender': '2.5.3',
'location': 'View3D > Add > Mesh > 3D Function Surface',
'url': 'http://wiki.blender.org/index.php/Extensions:2.5/Py/' \
'Scripts/Add_3d_Function_Surface',
'category': 'Add Mesh'}
# More Links:
# http://gitorious.org/blender-scripts/blender-3d-function-surface
# http://blenderartists.org/forum/showthread.php?t=179043
__bpydoc__ = """
3D Function Surface
This script lets the user create a surface where the z coordinate
is a function of the x and y coordinates.
z = f(x,y)
Usage:
You have to activated the script in the "Add-Ons" tab (user preferences).
The functionality can then be accessed via the
"Add Mesh" -> "3D Function Surface" menu.
Version history:
v0.2.3 - Use bl_addon_info for Add-On information.
v0.2.2 - Fixed Add-On registration text.
v0.2.1 - Fixed some new API stuff.
Mainly we now have the register/unregister functions.
Also the new() function for objects now accepts a mesh object.
Changed the script so it can be managed from the "Add-Ons" tab
in the user preferences.
Added dummy "PLUGIN" icon.
Corrected FSF address.
Clean up of tooltips.
v0.2 - Added security check for eval() function
Check return value of eval() for complex numbers.
v0.1.1 - Use 'CANCELLED' return value when failing.
Updated web links.
v0.1 - Initial revision.
"""
# List of safe functions for eval()
safe_list = ['math', 'acos', 'asin', 'atan', 'atan2', 'ceil', 'cos', 'cosh',
'degrees', 'e', 'exp', 'fabs', 'floor', 'fmod', 'frexp', 'hypot',
'ldexp', 'log', 'log10', 'modf', 'pi', 'pow', 'radians',
'sin', 'sinh', 'sqrt', 'tan', 'tanh']
# Use the list to filter the local namespace
safe_dict = dict([(k, locals().get(k, None)) for k in safe_list])
# Add any needed builtins back in.
safe_dict['abs'] = abs
def createFaces(vertIdx1, vertIdx2, ring):
'''
A very simple "bridge" tool.
Connects two equally long vertex-loops with faces and
returns a list of the new faces.
Parameters
vertIdx1 ... List of vertex indices of the first loop.
vertIdx2 ... List of vertex indices of the second loop.
'''
faces = []
if (len(vertIdx1) != len(vertIdx2)) or (len(vertIdx1) < 2):
return None
total = len(vertIdx1)
if (ring):
# Bridge the start with the end.
faces.append([vertIdx2[0], vertIdx1[0],
vertIdx1[total - 1], vertIdx2[total - 1]])
# Bridge the rest of the faces.
for num in range(total - 1):
faces.append([vertIdx1[num], vertIdx2[num],
vertIdx2[num + 1], vertIdx1[num + 1]])
return faces
def createObject(scene, verts, faces, name):
'''Creates Meshes & Objects for the given lists of vertices and faces.'''
# Create new mesh
mesh = bpy.data.meshes.new(name)
# Add the geometry to the mesh.
#mesh.add_geometry(len(verts), 0, len(faces))
#mesh.verts.foreach_set("co", unpack_list(verts))
#mesh.faces.foreach_set("verts_raw", unpack_face_list(faces))
# To quote the documentation:
# "Make a mesh from a list of verts/edges/faces Until we have a nicer
# way to make geometry, use this."
# http://www.blender.org/documentation/250PythonDoc/
# bpy.types.Mesh.html#bpy.types.Mesh.from_pydata
mesh.from_pydata(verts, [], faces)
# ugh - Deselect all objects.
for ob in scene.objects:
ob.selected = False
# Update mesh geometry after adding stuff.
mesh.update()
# Create a new object.
ob_new = bpy.data.objects.new(name, mesh)
# Link new object to the given scene and select it.
scene.objects.link(ob_new)
ob_new.selected = True
# Place the object at the 3D cursor location.
ob_new.location = scene.cursor_location
obj_act = scene.objects.active
if obj_act and obj_act.mode == 'EDIT':
# We are in EditMode, switch to ObjectMode.
bpy.ops.object.mode_set(mode='OBJECT')
# Select the active object as well.
obj_act.selected = True
# Apply location of new object.
scene.update()
# Join new object into the active.
bpy.ops.object.join()
# Switching back to EditMode.
bpy.ops.object.mode_set(mode='EDIT')
else:
# We are in ObjectMode.
# Make the new object the active one.
scene.objects.active = ob_new
class Add3DFunctionSurface(bpy.types.Operator):
'''Add a surface defined defined by a function z=f(x,y)'''
bl_idname = "mesh.primitive_3d_function_surface"
bl_label = "Add 3D Function Surface"
bl_options = {'REGISTER', 'UNDO'}
equation = StringProperty(name="Equation",
description="Equation for z=f(x,y)",
default="1 - ( x**2 + y**2 )")
div_x = IntProperty(name="X Subdivisions",
description="Number of vertices in x direction.",
default=16,
min=3,
max=256)
div_y = IntProperty(name="Y Subdivisions",
description="Number of vertices in y direction.",
default=16,
min=3,
max=256)
size_x = FloatProperty(name="X Size",
description="Size of the x axis.",
default=2.0,
min=0.01,
max=100.0,
unit="LENGTH")
size_y = FloatProperty(name="Y Size",
description="Size of the y axis.",
default=2.0,
min=0.01,
max=100.0,
unit="LENGTH")
def execute(self, context):
equation = self.properties.equation
div_x = self.properties.div_x
div_y = self.properties.div_y
size_x = self.properties.size_x
size_y = self.properties.size_y
verts = []
faces = []
delta_x = size_x / float(div_x - 1)
delta_y = size_y / float(div_y - 1)
start_x = -(size_x / 2.0)
start_y = -(size_y / 2.0)
edgeloop_prev = []
for row_x in range(div_x):
edgeloop_cur = []
for row_y in range(div_y):
x = start_x + row_x * delta_x
y = start_y + row_y * delta_y
z = 0
# Try to evaluate the equation.
try:
safe_dict['x'] = x
safe_dict['y'] = y
z = eval(equation, {"__builtins__": None}, safe_dict)
except:
print("Add3DFunctionSurface: " \
"Could not evaluate equation '" + equation + "'\n")
return {'CANCELLED'}
# Accept only real numbers (no complex types)
# @todo: Support for "long" needed?
if not (isinstance(z, int)
#or isinstance(z, long)
or isinstance(z, float)):
print("Add3DFunctionSurface: " \
"eval() returned unsupported number type '" \
+ str(z) + "'\n")
return {'CANCELLED'}
edgeloop_cur.append(len(verts))
verts.append([x, y, z])
if len(edgeloop_prev) > 0:
faces_row = createFaces(edgeloop_prev, edgeloop_cur, False)
faces.extend(faces_row)
edgeloop_prev = edgeloop_cur
createObject(context.scene, verts, faces, "3D Function")
return {'FINISHED'}
################################
import space_info
# Define "3D Function Surface" menu
menu_func = (lambda self, context: self.layout.operator(
Add3DFunctionSurface.bl_idname,
text="3D Function Surface",
icon="PLUGIN"))
def register():
# Register the operators/menus.
bpy.types.register(Add3DFunctionSurface)
# Add "3D Function Surface" menu to the "Add Mesh" menu
space_info.INFO_MT_mesh_add.append(menu_func)
def unregister():
# Unregister the operators/menus.
bpy.types.unregister(Add3DFunctionSurface)
# Remove "3D Function Surface" menu from the "Add Mesh" menu.
space_info.INFO_MT_mesh_add.remove(menu_func)
if __name__ == "__main__":
register()
|