add_mesh_teapot.py

# GPL #  Author, Anthony D'Agostino

import bpy
from bpy.props import (
    IntProperty,
    EnumProperty,
    )
import mathutils
import io
import operator
import functools


class AddTeapot(bpy.types.Operator):
    bl_idname = "mesh.primitive_teapot_add"
    bl_label = "Add Teapot"
    bl_description = "Construct a teapot or teaspoon mesh"
    bl_options = {"REGISTER", "UNDO"}

    resolution: IntProperty(
            name="Resolution",
            description="Resolution of the Teapot",
            default=5,
            min=2, max=15,
            )
    objecttype: EnumProperty(
            name="Object Type",
            description="Type of Bezier Object",
            items=(('1', "Teapot", "Construct a teapot mesh"),
                   ('2', "Tea Spoon", "Construct a teaspoon mesh")),
            default='1',
            )

    def execute(self, context):
        verts, faces = make_teapot(self.objecttype,
                                   self.resolution)
        # Actually create the mesh object from this geometry data.
        obj = create_mesh_object(context, verts, [], faces, "Teapot")
        return {'FINISHED'}


def create_mesh_face_hack(faces):
    # FIXME, faces with duplicate vertices shouldn't be created in the first place.
    faces_copy = []
    for f in faces:
        f_copy = []
        for i in f:
            if i not in f_copy:
                f_copy.append(i)
        faces_copy.append(f_copy)
    faces[:] = faces_copy


def create_mesh_object(context, verts, edges, faces, name):

    create_mesh_face_hack(faces)

    # Create new mesh
    mesh = bpy.data.meshes.new(name)
    # Make a mesh from a list of verts/edges/faces.
    mesh.from_pydata(verts, edges, faces)
    # Update mesh geometry after adding stuff.
    mesh.update()
    from bpy_extras import object_utils
    return object_utils.object_data_add(context, mesh, operator=None)


# ==========================
# === Bezier patch Block ===
# ==========================

def read_indexed_patch_file(filename):
    file = io.StringIO(filename)
    rawpatches = []
    patches = []
    numpatches = int(file.readline())
    for i in range(numpatches):
        line = file.readline()
        (a, b, c, d,
         e, f, g, h,
         i, j, k, l,
         m, n, o, p,
         ) = map(int, line.split(","))
        patches.append([[a, b, c, d], [e, f, g, h], [i, j, k, l], [m, n, o, p]])
        rawpatches.append([[0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0]])
    verts = []
    numverts = int(file.readline())
    for i in range(numverts):
        line = file.readline()
        v1, v2, v3 = map(float, line.split(","))
        verts.append((v1, v2, v3))
    for i in range(len(patches)):
        for j in range(4):      # len(patches[i])):
            for k in range(4):  # len(patches[i][j])):
                index = patches[i][j][k] - 1
                rawpatches[i][j][k] = verts[index]
    return rawpatches


def patches_to_raw(patches, resolution):
    raw = []
    for patch in patches:
        verts = make_verts(patch, resolution)
        faces = make_faces(resolution)
        rawquads = indexed_to_rawquads(verts, faces)
        raw.append(rawquads)
    raw = functools.reduce(operator.add, raw)  # flatten the list
    return raw


def make_bezier(ctrlpnts, resolution):

    def b1(t):
        return t * t * t

    def b2(t):
        return 3.0 * t * t * (1.0 - t)

    def b3(t):
        return 3.0 * t * (1.0 - t) * (1.0 - t)

    def b4(t):
        return (1.0 - t) * (1.0 - t) * (1.0 - t)

    p1, p2, p3, p4 = map(mathutils.Vector, ctrlpnts)

    def makevert(t):
        x, y, z = b1(t) * p1 + b2(t) * p2 + b3(t) * p3 + b4(t) * p4
        return (x, y, z)
    curveverts = [makevert(i / resolution) for i in range(resolution + 1)]
    return curveverts


def make_verts(a, resolution):
    s = []
    for i in a:
        c = make_bezier(i, resolution)
        s.append(c)
    b = transpose(s)
    s = []
    for i in b:
        c = make_bezier(i, resolution)
        s.append(c)
    verts = s
    verts = functools.reduce(operator.add, verts)  # flatten the list
    return verts


def make_faces(resolution):
    n = resolution + 1
    faces = []
    for i in range(resolution):
        for j in range(resolution):
            v1 = (i + 1) * n + j
            v2 = (i + 1) * n + j + 1
            v3 = i * n + j + 1
            v4 = i * n + j
            faces.append([v1, v2, v3, v4])
    return faces


def indexed_to_rawquads(verts, faces):
    rows = len(faces)
    cols = len(faces[0])    # or 4
    rawquads = [[None] * cols for i in range(rows)]
    for i in range(rows):
        for j in range(cols):
            index = faces[i][j]
            rawquads[i][j] = verts[index]
    return rawquads


def raw_to_indexed(rawfaces):
    # Generate verts and faces lists, without dups
    verts = []
    coords = {}
    index = 0
    for i in range(len(rawfaces)):
        for j in range(len(rawfaces[i])):
            vertex = rawfaces[i][j]
            if vertex not in coords:
                coords[vertex] = index
                index += 1
                verts.append(vertex)
            rawfaces[i][j] = coords[vertex]
    return verts, rawfaces


def transpose(rowsbycols):
    rows = len(rowsbycols)
    cols = len(rowsbycols[0])
    colsbyrows = [[None] * rows for i in range(cols)]
    for i in range(cols):
        for j in range(rows):
            colsbyrows[i][j] = rowsbycols[j][i]
    return colsbyrows


def make_teapot(enumname, resolution):
    filenames = [None, teapot, teaspoon]
    try:
        indexes = int(enumname)
        filename = filenames[indexes]
    except:
        print("Add Teapot Error: EnumProperty could not be set")
        filename = filenames[1]

    patches = read_indexed_patch_file(filename)
    raw = patches_to_raw(patches, resolution)
    verts, faces = raw_to_indexed(raw)
    return (verts, faces)


# =================================
# === Indexed Bezier Data Block ===
# =================================
teapot = """32
1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16
4,17,18,19,8,20,21,22,12,23,24,25,16,26,27,28
19,29,30,31,22,32,33,34,25,35,36,37,28,38,39,40
31,41,42,1,34,43,44,5,37,45,46,9,40,47,48,13
13,14,15,16,49,50,51,52,53,54,55,56,57,58,59,60
16,26,27,28,52,61,62,63,56,64,65,66,60,67,68,69
28,38,39,40,63,70,71,72,66,73,74,75,69,76,77,78
40,47,48,13,72,79,80,49,75,81,82,53,78,83,84,57
57,58,59,60,85,86,87,88,89,90,91,92,93,94,95,96
60,67,68,69,88,97,98,99,92,100,101,102,96,103,104,105
69,76,77,78,99,106,107,108,102,109,110,111,105,112,113,114
78,83,84,57,108,115,116,85,111,117,118,89,114,119,120,93
121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136
124,137,138,121,128,139,140,125,132,141,142,129,136,143,144,133
133,134,135,136,145,146,147,148,149,150,151,152,69,153,154,155
136,143,144,133,148,156,157,145,152,158,159,149,155,160,161,69
162,163,164,165,166,167,168,169,170,171,172,173,174,175,176,177
165,178,179,162,169,180,181,166,173,182,183,170,177,184,185,174
174,175,176,177,186,187,188,189,190,191,192,193,194,195,196,197
177,184,185,174,189,198,199,186,193,200,201,190,197,202,203,194
204,204,204,204,207,208,209,210,211,211,211,211,212,213,214,215
204,204,204,204,210,217,218,219,211,211,211,211,215,220,221,222
204,204,204,204,219,224,225,226,211,211,211,211,222,227,228,229
204,204,204,204,226,230,231,207,211,211,211,211,229,232,233,212
212,213,214,215,234,235,236,237,238,239,240,241,242,243,244,245
215,220,221,222,237,246,247,248,241,249,250,251,245,252,253,254
222,227,228,229,248,255,256,257,251,258,259,260,254,261,262,263
229,232,233,212,257,264,265,234,260,266,267,238,263,268,269,242
270,270,270,270,279,280,281,282,275,276,277,278,271,272,273,274
270,270,270,270,282,289,290,291,278,286,287,288,274,283,284,285
270,270,270,270,291,298,299,300,288,295,296,297,285,292,293,294
270,270,270,270,300,305,306,279,297,303,304,275,294,301,302,271
306
1.4,0.0,2.4
1.4,-0.784,2.4
0.784,-1.4,2.4
0.0,-1.4,2.4
1.3375,0.0,2.53125
1.3375,-0.749,2.53125
0.749,-1.3375,2.53125
0.0,-1.3375,2.53125
1.4375,0.0,2.53125
1.4375,-0.805,2.53125
0.805,-1.4375,2.53125
0.0,-1.4375,2.53125
1.5,0.0,2.4
1.5,-0.84,2.4
0.84,-1.5,2.4
0.0,-1.5,2.4
-0.784,-1.4,2.4
-1.4,-0.784,2.4
-1.4,0.0,2.4
-0.749,-1.3375,2.53125
-1.3375,-0.749,2.53125
-1.3375,0.0,2.53125
-0.805,-1.4375,2.53125
-1.4375,-0.805,2.53125
-1.4375,0.0,2.53125
-0.84,-1.5,2.4
-1.5,-0.84,2.4
-1.5,0.0,2.4
-1.4,0.784,2.4
-0.784,1.4,2.4
0.0,1.4,2.4
-1.3375,0.749,2.53125
-0.749,1.3375,2.53125
0.0,1.3375,2.53125
-1.4375,0.805,2.53125
-0.805,1.4375,2.53125
0.0,1.4375,2.53125
-1.5,0.84,2.4
-0.84,1.5,2.4
0.0,1.5,2.4
0.784,1.4,2.4
1.4,0.784,2.4
0.749,1.3375,2.53125
1.3375,0.749,2.53125
0.805,1.4375,2.53125
1.4375,0.805,2.53125
0.84,1.5,2.4
1.5,0.84,2.4
1.75,0.0,1.875
1.75,-0.98,1.875
0.98,-1.75,1.875
0.0,-1.75,1.875
2.0,0.0,1.35
2.0,-1.12,1.35
1.12,-2.0,1.35
0.0,-2.0,1.35
2.0,0.0,0.9
2.0,-1.12,0.9
1.12,-2.0,0.9
0.0,-2.0,0.9
-0.98,-1.75,1.875
-1.75,-0.98,1.875
-1.75,0.0,1.875
-1.12,-2.0,1.35
-2.0,-1.12,1.35
-2.0,0.0,1.35
-1.12,-2.0,0.9
-2.0,-1.12,0.9
-2.0,0.0,0.9
-1.75,0.98,1.875
-0.98,1.75,1.875
0.0,1.75,1.875
-2.0,1.12,1.35
-1.12,2.0,1.35
0.0,2.0,1.35
-2.0,1.12,0.9
-1.12,2.0,0.9
0.0,2.0,0.9
0.98,1.75,1.875
1.75,0.98,1.875
1.12,2.0,1.35
2.0,1.12,1.35
1.12,2.0,0.9
2.0,1.12,0.9
2.0,0.0,0.45
2.0,-1.12,0.45
1.12,-2.0,0.45
0.0,-2.0,0.45
1.5,0.0,0.225
1.5,-0.84,0.225
0.84,-1.5,0.225
0.0,-1.5,0.225
1.5,0.0,0.15
1.5,-0.84,0.15
0.84,-1.5,0.15
0.0,-1.5,0.15
-1.12,-2.0,0.45
-2.0,-1.12,0.45
-2.0,0.0,0.45
-0.84,-1.5,0.225
-1.5,-0.84,0.225
-1.5,0.0,0.225
-0.84,-1.5,0.15
-1.5,-0.84,0.15
-1.5,0.0,0.15
-2.0,1.12,0.45
-1.12,2.0,0.45
0.0,2.0,0.45
-1.5,0.84,0.225
-0.84,1.5,0.225
0.0,1.5,0.225
-1.5,0.84,0.15
-0.84,1.5,0.15
0.0,1.5,0.15
1.12,2.0,0.45
2.0,1.12,0.45
0.84,1.5,0.225
1.5,0.84,0.225
0.84,1.5,0.15
1.5,0.84,0.15
-1.6,0.0,2.025
-1.6,-0.3,2.025
-1.5,-0.3,2.25
-1.5,0.0,2.25
-2.3,0.0,2.025
-2.3,-0.3,2.025
-2.5,-0.3,2.25
-2.5,0.0,2.25
-2.7,0.0,2.025
-2.7,-0.3,2.025
-3.0,-0.3,2.25
-3.0,0.0,2.25
-2.7,0.0,1.8
-2.7,-0.3,1.8
-3.0,-0.3,1.8
-3.0,0.0,1.8
-1.5,0.3,2.25
-1.6,0.3,2.025
-2.5,0.3,2.25
-2.3,0.3,2.025
-3.0,0.3,2.25
-2.7,0.3,2.025
-3.0,0.3,1.8
-2.7,0.3,1.8
-2.7,0.0,1.575
-2.7,-0.3,1.575
-3.0,-0.3,1.35
-3.0,0.0,1.35
-2.5,0.0,1.125
-2.5,-0.3,1.125
-2.65,-0.3,0.9375
-2.65,0.0,0.9375
-2.0,-0.3,0.9
-1.9,-0.3,0.6
-1.9,0.0,0.6
-3.0,0.3,1.35
-2.7,0.3,1.575
-2.65,0.3,0.9375
-2.5,0.3,1.125
-1.9,0.3,0.6
-2.0,0.3,0.9
1.7,0.0,1.425
1.7,-0.66,1.425
1.7,-0.66,0.6
1.7,0.0,0.6
2.6,0.0,1.425
2.6,-0.66,1.425
3.1,-0.66,0.825
3.1,0.0,0.825
2.3,0.0,2.1
2.3,-0.25,2.1
2.4,-0.25,2.025
2.4,0.0,2.025
2.7,0.0,2.4
2.7,-0.25,2.4
3.3,-0.25,2.4
3.3,0.0,2.4
1.7,0.66,0.6
1.7,0.66,1.425
3.1,0.66,0.825
2.6,0.66,1.425
2.4,0.25,2.025
2.3,0.25,2.1
3.3,0.25,2.4
2.7,0.25,2.4
2.8,0.0,2.475
2.8,-0.25,2.475
3.525,-0.25,2.49375
3.525,0.0,2.49375
2.9,0.0,2.475
2.9,-0.15,2.475
3.45,-0.15,2.5125
3.45,0.0,2.5125
2.8,0.0,2.4
2.8,-0.15,2.4
3.2,-0.15,2.4
3.2,0.0,2.4
3.525,0.25,2.49375
2.8,0.25,2.475
3.45,0.15,2.5125
2.9,0.15,2.475
3.2,0.15,2.4
2.8,0.15,2.4
0.0,0.0,3.15
0.0,-0.002,3.15
0.002,0.0,3.15
0.8,0.0,3.15
0.8,-0.45,3.15
0.45,-0.8,3.15
0.0,-0.8,3.15
0.0,0.0,2.85
0.2,0.0,2.7
0.2,-0.112,2.7
0.112,-0.2,2.7
0.0,-0.2,2.7
-0.002,0.0,3.15
-0.45,-0.8,3.15
-0.8,-0.45,3.15
-0.8,0.0,3.15
-0.112,-0.2,2.7
-0.2,-0.112,2.7
-0.2,0.0,2.7
0.0,0.002,3.15
-0.8,0.45,3.15
-0.45,0.8,3.15
0.0,0.8,3.15
-0.2,0.112,2.7
-0.112,0.2,2.7
0.0,0.2,2.7
0.45,0.8,3.15
0.8,0.45,3.15
0.112,0.2,2.7
0.2,0.112,2.7
0.4,0.0,2.55
0.4,-0.224,2.55
0.224,-0.4,2.55
0.0,-0.4,2.55
1.3,0.0,2.55
1.3,-0.728,2.55
0.728,-1.3,2.55
0.0,-1.3,2.55
1.3,0.0,2.4
1.3,-0.728,2.4
0.728,-1.3,2.4
0.0,-1.3,2.4
-0.224,-0.4,2.55
-0.4,-0.224,2.55
-0.4,0.0,2.55
-0.728,-1.3,2.55
-1.3,-0.728,2.55
-1.3,0.0,2.55
-0.728,-1.3,2.4
-1.3,-0.728,2.4
-1.3,0.0,2.4
-0.4,0.224,2.55
-0.224,0.4,2.55
0.0,0.4,2.55
-1.3,0.728,2.55
-0.728,1.3,2.55
0.0,1.3,2.55
-1.3,0.728,2.4
-0.728,1.3,2.4
0.0,1.3,2.4
0.224,0.4,2.55
0.4,0.224,2.55
0.728,1.3,2.55
1.3,0.728,2.55
0.728,1.3,2.4
1.3,0.728,2.4
0.0,0.0,0.0
1.5,0.0,0.15
1.5,0.84,0.15
0.84,1.5,0.15
0.0,1.5,0.15
1.5,0.0,0.075
1.5,0.84,0.075
0.84,1.5,0.075
0.0,1.5,0.075
1.425,0.0,0.0
1.425,0.798,0.0
0.798,1.425,0.0
0.0,1.425,0.0
-0.84,1.5,0.15
-1.5,0.84,0.15
-1.5,0.0,0.15
-0.84,1.5,0.075
-1.5,0.84,0.075
-1.5,0.0,0.075
-0.798,1.425,0.0
-1.425,0.798,0.0
-1.425,0.0,0.0
-1.5,-0.84,0.15
-0.84,-1.5,0.15
0.0,-1.5,0.15
-1.5,-0.84,0.075
-0.84,-1.5,0.075
0.0,-1.5,0.075
-1.425,-0.798,0.0
-0.798,-1.425,0.0
0.0,-1.425,0.0
0.84,-1.5,0.15
1.5,-0.84,0.15
0.84,-1.5,0.075
1.5,-0.84,0.075
0.798,-1.425,0.0
1.425,-0.798,0.0
"""

teaspoon = """16
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
256
-0.000107143,0.205357,0.0
0.0,0.196429,-0.0178571
0.0,0.196429,-0.0178571
0.000107143,0.205357,0.0
-0.0535714,0.205357,0.0
-0.0222714,0.178571,-0.0534286
0.0222714,0.178571,-0.0534286
0.0535714,0.205357,0.0
-0.107143,0.0952429,-0.0178571
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