add_mesh_extra_objects.py

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import bpy
from mathutils import *
from math import *
from bpy.props import *

# Create a new mesh (object) from verts/edges/faces.
# verts/edges/faces ... List of vertices/edges/faces for the
#                       new mesh (as used in from_pydata).
# name ... Name of the new mesh (& object).
def create_mesh_object(context, verts, edges, faces, name):

    # 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)


# A very simple "bridge" tool.
# Connects two equally long vertex rows with faces.
# Returns a list of the new faces (list of  lists)
#
# vertIdx1 ... First vertex list (list of vertex indices).
# vertIdx2 ... Second vertex list (list of vertex indices).
# closed ... Creates a loop (first & last are closed).
# flipped ... Invert the normal of the face(s).
#
# Note: You can set vertIdx1 to a single vertex index to create
#       a fan/star of faces.
# Note: If both vertex idx list are the same length they have
#       to have at least 2 vertices.
def createFaces(vertIdx1, vertIdx2, closed=False, flipped=False):
    faces = []

    if not vertIdx1 or not vertIdx2:
        return None

    if len(vertIdx1) < 2 and len(vertIdx2) < 2:
        return None

    fan = False
    if (len(vertIdx1) != len(vertIdx2)):
        if (len(vertIdx1) == 1 and len(vertIdx2) > 1):
            fan = True
        else:
            return None

    total = len(vertIdx2)

    if closed:
        # Bridge the start with the end.
        if flipped:
            face = [
                vertIdx1[0],
                vertIdx2[0],
                vertIdx2[total - 1]]
            if not fan:
                face.append(vertIdx1[total - 1])
            faces.append(face)

        else:
            face = [vertIdx2[0], vertIdx1[0]]
            if not fan:
                face.append(vertIdx1[total - 1])
            face.append(vertIdx2[total - 1])
            faces.append(face)

    # Bridge the rest of the faces.
    for num in range(total - 1):
        if flipped:
            if fan:
                face = [vertIdx2[num], vertIdx1[0], vertIdx2[num + 1]]
            else:
                face = [vertIdx2[num], vertIdx1[num],
                    vertIdx1[num + 1], vertIdx2[num + 1]]
            faces.append(face)
        else:
            if fan:
                face = [vertIdx1[0], vertIdx2[num], vertIdx2[num + 1]]
            else:
                face = [vertIdx1[num], vertIdx2[num],
                    vertIdx2[num + 1], vertIdx1[num + 1]]
            faces.append(face)

    return faces


# @todo Clean up vertex&face creation process a bit.
def add_sqorus(hole_size, subdivide):
    verts = []
    faces = []

    size = 2.0

    thickness = (size - hole_size) / 2.0
    distances = [
        -size / 2.0,
        -size / 2.0 + thickness,
        size / 2.0 - thickness,
        size / 2.0]

    if subdivide:
        for i in range(4):
            y = distances[i]

            for j in range(4):
                x = distances[j]

                verts.append(Vector((x, y, size / 2.0)))
                verts.append(Vector((x, y, -size / 2.0)))

        # Top outer loop (vertex indices)
        vIdx_out_up = [0, 2, 4, 6, 14, 22, 30, 28, 26, 24, 16, 8]
        # Lower outer loop (vertex indices)
        vIdx_out_low = [i + 1 for i in vIdx_out_up]

        faces_outside = createFaces(vIdx_out_up, vIdx_out_low, closed=True)
        faces.extend(faces_outside)

        # Top inner loop (vertex indices)
        vIdx_inner_up = [10, 12, 20, 18]

        # Lower inner loop (vertex indices)
        vIdx_inner_low = [i + 1 for i in vIdx_inner_up]

        faces_inside = createFaces(vIdx_inner_up, vIdx_inner_low,
            closed=True, flipped=True)
        faces.extend(faces_inside)

        row1_top = [0, 8, 16, 24]
        row2_top = [i + 2 for i in row1_top]
        row3_top = [i + 2 for i in row2_top]
        row4_top = [i + 2 for i in row3_top]

        faces_top1 = createFaces(row1_top, row2_top)
        faces.extend(faces_top1)
        faces_top2_side1 = createFaces(row2_top[:2], row3_top[:2])
        faces.extend(faces_top2_side1)
        faces_top2_side2 = createFaces(row2_top[2:], row3_top[2:])
        faces.extend(faces_top2_side2)
        faces_top3 = createFaces(row3_top, row4_top)
        faces.extend(faces_top3)

        row1_bot = [1, 9, 17, 25]
        row2_bot = [i + 2 for i in row1_bot]
        row3_bot = [i + 2 for i in row2_bot]
        row4_bot = [i + 2 for i in row3_bot]

        faces_bot1 = createFaces(row1_bot, row2_bot, flipped=True)
        faces.extend(faces_bot1)
        faces_bot2_side1 = createFaces(row2_bot[:2], row3_bot[:2],
            flipped=True)
        faces.extend(faces_bot2_side1)
        faces_bot2_side2 = createFaces(row2_bot[2:], row3_bot[2:],
            flipped=True)
        faces.extend(faces_bot2_side2)
        faces_bot3 = createFaces(row3_bot, row4_bot, flipped=True)
        faces.extend(faces_bot3)

    else:
        # Do not subdivde outer faces

        vIdx_out_up = []
        vIdx_out_low = []
        vIdx_in_up = []
        vIdx_in_low = []

        for i in range(4):
            y = distances[i]

            for j in range(4):
                x = distances[j]

                append = False
                inner = False
                # Outer
                if (i in [0, 3] and j in [0, 3]):
                    append = True

                # Inner
                if (i in [1, 2] and j in [1, 2]):
                    append = True
                    inner = True

                if append:
                    vert_up = len(verts)
                    verts.append(Vector((x, y, size / 2.0)))
                    vert_low = len(verts)
                    verts.append(Vector((x, y, -size / 2.0)))

                    if inner:
                        vIdx_in_up.append(vert_up)
                        vIdx_in_low.append(vert_low)

                    else:
                        vIdx_out_up.append(vert_up)
                        vIdx_out_low.append(vert_low)

        # Flip last two vertices
        vIdx_out_up = vIdx_out_up[:2] + list(reversed(vIdx_out_up[2:]))
        vIdx_out_low = vIdx_out_low[:2] + list(reversed(vIdx_out_low[2:]))
        vIdx_in_up = vIdx_in_up[:2] + list(reversed(vIdx_in_up[2:]))
        vIdx_in_low = vIdx_in_low[:2] + list(reversed(vIdx_in_low[2:]))

        # Create faces
        faces_top = createFaces(vIdx_in_up, vIdx_out_up, closed=True)
        faces.extend(faces_top)
        faces_bottom = createFaces(vIdx_out_low, vIdx_in_low, closed=True)
        faces.extend(faces_bottom)
        faces_inside = createFaces(vIdx_in_low, vIdx_in_up, closed=True)
        faces.extend(faces_inside)
        faces_outside = createFaces(vIdx_out_up, vIdx_out_low, closed=True)
        faces.extend(faces_outside)

    return verts, faces


def add_wedge(size_x, size_y, size_z):
    verts = []
    faces = []

    size_x /= 2.0
    size_y /= 2.0
    size_z /= 2.0

    vIdx_top = []
    vIdx_bot = []

    vIdx_top.append(len(verts))
    verts.append(Vector((-size_x, -size_y, size_z)))
    vIdx_bot.append(len(verts))
    verts.append(Vector((-size_x, -size_y, -size_z)))

    vIdx_top.append(len(verts))
    verts.append(Vector((size_x, -size_y, size_z)))
    vIdx_bot.append(len(verts))
    verts.append(Vector((size_x, -size_y, -size_z)))

    vIdx_top.append(len(verts))
    verts.append(Vector((-size_x, size_y, size_z)))
    vIdx_bot.append(len(verts))
    verts.append(Vector((-size_x, size_y, -size_z)))

    faces.append(vIdx_top)
    faces.append(vIdx_bot)
    faces_outside = createFaces(vIdx_top, vIdx_bot, closed=True)
    faces.extend(faces_outside)

    return verts, faces

def add_star(points, outer_radius, inner_radius, height):
    PI_2 = pi * 2
    z_axis = (0, 0, 1)

    verts = []
    faces = []

    segments = points * 2

    half_height = height / 2.0

    vert_idx_top = len(verts)
    verts.append(Vector((0.0, 0.0, half_height)))

    vert_idx_bottom = len(verts)
    verts.append(Vector((0.0, 0.0, -half_height)))

    edgeloop_top = []
    edgeloop_bottom = []

    for index in range(segments):
        quat = Quaternion(z_axis, (index / segments) * PI_2)

        if index % 2:
            # Uneven
            radius = outer_radius
        else:
            # Even
            radius = inner_radius

        edgeloop_top.append(len(verts))
        vec = quat * Vector((radius, 0, half_height))
        verts.append(vec)

        edgeloop_bottom.append(len(verts))
        vec = quat * Vector((radius, 0, -half_height))
        verts.append(vec)



    faces_top = createFaces([vert_idx_top], edgeloop_top, closed=True)
    faces_outside = createFaces(edgeloop_top, edgeloop_bottom, closed=True)
    faces_bottom = createFaces([vert_idx_bottom], edgeloop_bottom,
        flipped=True, closed=True)

    faces.extend(faces_top)
    faces.extend(faces_outside)
    faces.extend(faces_bottom)

    return verts, faces

def trapezohedron(s,r,h):
    """
    s = segments
    r = base radius
    h = tip height
    """
    
    # calculate constants
    a = 2*pi/(2*s)          # angle between points along the equator
    l = r*cos(a)            # helper for  e
    e = h*(r-l)/(l+r)       # the z offset for each vector along the equator so faces are planar

    # rotation for the points
    quat = Quaternion((0,0,1),a)
    
    # first 3 vectors, every next one is calculated from the last, and the z-value is negated
    verts = [Vector(i) for i in [(0,0,h),(0,0,-h),(r,0,e)]]
    for i in range(2*s-1):
        verts.append(quat*verts[-1])    # rotate further "a" radians around the z-axis
        verts[-1].z *= -1               # negate last z-value to account for the zigzag 
    
    faces = []
    for i in range(2,2+2*s,2):
        n = [i+1,i+2,i+3]               # vertices in current section
        for j in range(3):              # check whether the numbers dont go over len(verts)
            if n[j]>=2*s+2: n[j]-=2*s   # if so, subtract len(verts)-2
        
        # add faces of current section
        faces.append([0,i]+n[:2])
        faces.append([1,n[2],n[1],n[0]])
    
    return verts,faces

class AddSqorus(bpy.types.Operator):
    '''Add a sqorus mesh.'''
    bl_idname = "mesh.primitive_sqorus_add"
    bl_label = "Add Sqorus"
    bl_options = {'REGISTER', 'UNDO'}

    hole_size = FloatProperty(name="Hole Size",
        description="Size of the Hole",
        min=0.01,
        max=1.99,
        default=2.0 / 3.0)
    subdivide = BoolProperty(name="Subdivide Outside",
        description="Enable to subdivide the faces on the outside " \
                    "(this results in equally spaced vertices)",
        default=True)

    def execute(self, context):

        # Create mesh geometry
        verts, faces = add_sqorus(
            self.hole_size,
            self.subdivide)

        # Create mesh object (and meshdata)
        obj = create_mesh_object(context, verts, [], faces, "Sqorus")

        return {'FINISHED'}


class AddWedge(bpy.types.Operator):
    '''Add a wedge mesh.'''
    bl_idname = "mesh.primitive_wedge_add"
    bl_label = "Add Wedge"
    bl_options = {'REGISTER', 'UNDO'}

    size_x = FloatProperty(name="Size X",
        description="Size along the X axis",
        min=0.01,
        max=9999.0,
        default=2.0)
    size_y = FloatProperty(name="Size Y",
        description="Size along the Y axis",
        min=0.01,
        max=9999.0,
        default=2.0)
    size_z = FloatProperty(name="Size Z",
        description="Size along the Z axis",
        min=0.01,
        max=9999.0,
        default=2.00)

    def execute(self, context):

        verts, faces = add_wedge(
            self.size_x,
            self.size_y,
            self.size_z)

        obj = create_mesh_object(context, verts, [], faces, "Wedge")

        return {'FINISHED'}


class AddStar(bpy.types.Operator):
    '''Add a star mesh.'''
    bl_idname = "mesh.primitive_star_add"
    bl_label = "Add Star"
    bl_options = {'REGISTER', 'UNDO'}

    points = IntProperty(name="Points",
        description="Number of points for the star",
        min=2,
        max=256,
        default=5)
    outer_radius = FloatProperty(name="Outer Radius",
        description="Outer radius of the star",
        min=0.01,
        max=9999.0,
        default=1.0)
    innter_radius = FloatProperty(name="Inner Radius",
        description="Inner radius of the star",
        min=0.01,
        max=9999.0,
        default=0.5)
    height = FloatProperty(name="Height",
        description="Height of the star",
        min=0.01,
        max=9999.0,
        default=0.5)

    def execute(self, context):

        verts, faces = add_star(
            self.points,
            self.outer_radius,
            self.innter_radius,
            self.height)

        obj = create_mesh_object(context, verts, [], faces, "Star")

        return {'FINISHED'}


class AddTrapezohedron(bpy.types.Operator):
    """Add a trapezohedron"""
    bl_idname = "mesh.primitive_trapezohedron_add"
    bl_label = "Add trapezohedron"
    bl_description = "Create one of the regular solids"
    bl_options = {'REGISTER', 'UNDO'}

    segments = IntProperty(name = "Segments",
                description = "Number of repeated segments",
                default = 4, min = 2, max = 256)
    radius = FloatProperty(name = "Base radius",
                description = "Radius of the middle",
                default = 1.0, min = 0.01, max = 100.0)
    height = FloatProperty(name = "Tip height",
                description = "Height of the tip",
                default = 1, min = 0.01, max = 100.0)

    def execute(self,context):
        # generate mesh
        verts,faces = trapezohedron(self.segments,
                                    self.radius,
                                    self.height)
        
        obj = create_mesh_object(context, verts, [], faces, "Trapazohedron")

        return {'FINISHED'}