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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 #####

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import bpy
from mathutils import (
        Matrix,
        Vector,
        )
from math import (
from random import triangular
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from bpy_extras.object_utils import AddObjectHelper, object_data_add
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NARROW_UI = 180
MAX_INPUT_NUMBER = 50

# Global_Scale = 0.001   # 1 blender unit = X mm
GLOBAL_SCALE = 0.1       # 1 blender unit = X mm
# Global_Scale = 1.0     # 1 blender unit = X mm
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# next two utility functions are stolen from import_obj.py

def unpack_list(list_of_tuples):
    l = []
    for t in list_of_tuples:
        l.extend(t)
    return l

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def unpack_face_list(list_of_tuples):
    l = []
    for t in list_of_tuples:
        face = [i for i in t]

        if len(face) != 3 and len(face) != 4:
            raise RuntimeError("{0} vertices in face".format(len(face)))
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        # rotate indices if the 4th is 0
        if len(face) == 4 and face[3] == 0:
            face = [face[3], face[0], face[1], face[2]]

        if len(face) == 3:
            face.append(0)
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        l.extend(face)

    return l

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Remove Doubles takes a list on Verts and a list of Faces and
removes the doubles, much like Blender does in edit mode.
It doesn’t have the range function  but it will round the corrdinates
and remove verts that are very close together.  The function
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is useful because you can perform a "Remove Doubles" with out
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having to enter Edit Mode. Having to enter edit mode has the
disadvantage of not being able to interactively change the properties.
def RemoveDoubles(verts, faces, Decimal_Places=4):
    new_verts = []
    new_faces = []
    dict_verts = {}
    Rounded_Verts = []
        Rounded_Verts.append([round(v[0], Decimal_Places),
                              round(v[1], Decimal_Places),
                              round(v[2], Decimal_Places)])

    for face in faces:
        new_face = []
        for vert_index in face:
            Real_co = tuple(verts[vert_index])
            Rounded_co = tuple(Rounded_Verts[vert_index])

            if Rounded_co not in dict_verts:
                dict_verts[Rounded_co] = len(dict_verts)
                new_verts.append(Real_co)
            if dict_verts[Rounded_co] not in new_face:
                new_face.append(dict_verts[Rounded_co])
        if len(new_face) == 3 or len(new_face) == 4:
            new_faces.append(new_face)
    return new_verts, new_faces
def Scale_Mesh_Verts(verts, scale_factor):
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    Ret_verts = []
    for v in verts:
        Ret_verts.append([v[0] * scale_factor, v[1] * scale_factor, v[2] * scale_factor])
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    return Ret_verts


# Create a matrix representing a rotation.
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#
# Parameters:
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#
#        * angle (float) - The angle of rotation desired.
#        * matSize (int) - The size of the rotation matrix to construct. Can be 2d, 3d, or 4d.
#        * axisFlag (string (optional)) - Possible values:
#              o "x - x-axis rotation"
#              o "y - y-axis rotation"
#              o "z - z-axis rotation"
#              o "r - arbitrary rotation around vector"
#        * axis (Vector object. (optional)) - The arbitrary axis of rotation used with "R"
#
# Returns: Matrix object.
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def Simple_RotationMatrix(angle, matSize, axisFlag):
    if matSize != 4:
        print("Simple_RotationMatrix can only do 4x4")
    q = radians(angle)  # make the rotation go clockwise
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    if axisFlag == 'x':
        matrix = Matrix.Rotation(q, 4, 'X')
    elif axisFlag == 'y':
        matrix = Matrix.Rotation(q, 4, 'Y')
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    elif axisFlag == 'z':
        matrix = Matrix.Rotation(q, 4, 'Z')
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    else:
        print("Simple_RotationMatrix can only do x y z axis")
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    return matrix


# ####################################################################
#              Converter Functions For Bolt Factory
# ####################################################################
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def Flat_To_Radius(FLAT):
    h = (float(FLAT) / 2) / cos(radians(30))
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    return h

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def Get_Phillips_Bit_Height(Bit_Dia):
    Flat_Width_half = (Bit_Dia * (0.5 / 1.82)) / 2.0
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    Bit_Rad = Bit_Dia / 2.0
    x = Bit_Rad - Flat_Width_half
    y = tan(radians(60)) * x
# ####################################################################
#                    Miscellaneous Utilities
# ####################################################################
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# Returns a list of verts rotated by the given matrix. Used by SpinDup
def Rot_Mesh(verts, matrix):
    return [(matrix * Vector(v))[:] for v in verts]

# Returns a list of faces that has there index incremented by offset
def Copy_Faces(faces, offset):
    return [[(i + offset) for i in f] for f in faces]
# Much like Blenders built in SpinDup
def SpinDup(VERTS, FACES, DEGREE, DIVISIONS, AXIS):
    verts = []
    faces = []
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    if DIVISIONS == 0:
    step = DEGREE / DIVISIONS  # set step so pieces * step = degrees in arc
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    for i in range(int(DIVISIONS)):
        rotmat = Simple_RotationMatrix(step * i, 4, AXIS)  # 4x4 rotation matrix, 30d about the x axis.
        Rot = Rot_Mesh(VERTS, rotmat)
        faces.extend(Copy_Faces(FACES, len(verts)))
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        verts.extend(Rot)
    return verts, faces
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# Returns a list of verts that have been moved up the z axis by DISTANCE
def Move_Verts_Up_Z(VERTS, DISTANCE):
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    ret = []
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