# Path: trimesh/constants.py
# class NumericalToleranceMesh(object):
# class NumericalResolutionMesh(object):
# class NumericalTolerancePath(object):
# class NumericalResolutionPath(object):
# class MeshError(Exception):
# class TransformError(Exception):
#     def __init__(self, **kwargs):
#     def __init__(self, **kwargs):
#     def __init__(self, **kwargs):
#     def __init__(self, **kwargs):
# def _log_time(method):
#     def timed(*args, **kwargs):
# 
# Path: trimesh/constants.py
# class NumericalToleranceMesh(object):
# class NumericalResolutionMesh(object):
# class NumericalTolerancePath(object):
# class NumericalResolutionPath(object):
# class MeshError(Exception):
# class TransformError(Exception):
#     def __init__(self, **kwargs):
#     def __init__(self, **kwargs):
#     def __init__(self, **kwargs):
#     def __init__(self, **kwargs):
# def _log_time(method):
#     def timed(*args, **kwargs):
# 
# Path: trimesh/path/polygons.py
# def polygons_obb(polygons):
#     '''
#     Find the OBBs for a list of shapely.geometry.Polygons
#     '''
#     rectangles = [None] * len(polygons)
#     transforms = [None] * len(polygons)
#     for i, p in enumerate(polygons):
#         transforms[i], rectangles[i] = polygon_obb(p)
#     return np.array(transforms), np.array(rectangles)
# 
# def transform_polygon(polygon, transform, plot=False):
#     if is_sequence(polygon):
#         result = [transform_polygon(p, t) for p, t in zip(polygon, transform)]
#     else:
#         shell = transform_points(np.array(polygon.exterior.coords), transform)
#         holes = [transform_points(np.array(i.coords), transform)
#                  for i in polygon.interiors]
#         result = Polygon(shell=shell, holes=holes)
#     if plot:
#         plot_polygon(result)
#     return result


import numpy as np
        import matplotlib.pyplot as plt
from collections import deque
from ..constants import log, time_function
from ..constants import tol_path as tol
from .polygons import polygons_obb, transform_polygon
            paths_full.extend([path.copy()
                               for i in range(path.metadata['quantity'])])
        else:
            paths_full.append(path.copy())

    polygons = [i.polygons_closed[i.root[0]] for i in paths_full]
    inserted, transforms = multipack(np.array(polygons))
    for path, transform in zip(paths_full, transforms):
        path.apply_transform(transform)
        if show:
            path.plot_discrete(show=False)
    if show:
        plt.show()
    return paths_full


def multipack(polygons,
              sheet_size=None,
              iterations=50,
              density_escape=.985,
              buffer_dist=0.09,
              plot=False,
              return_all=False):
    '''
    Run multiple iterations of rectangle packing, by randomly permutating the 
    insertion order

    If sheet size isn't specified, it creates a large sheet that can fit all 
    of the polygons
    '''

# Path: trimesh/constants.py
# class NumericalToleranceMesh(object):
# class NumericalResolutionMesh(object):
# class NumericalTolerancePath(object):
# class NumericalResolutionPath(object):
# class MeshError(Exception):
# class TransformError(Exception):
#     def __init__(self, **kwargs):
#     def __init__(self, **kwargs):
#     def __init__(self, **kwargs):
#     def __init__(self, **kwargs):
# def _log_time(method):
#     def timed(*args, **kwargs):
# 
# Path: trimesh/constants.py
# class NumericalToleranceMesh(object):
# class NumericalResolutionMesh(object):
# class NumericalTolerancePath(object):
# class NumericalResolutionPath(object):
# class MeshError(Exception):
# class TransformError(Exception):
#     def __init__(self, **kwargs):
#     def __init__(self, **kwargs):
#     def __init__(self, **kwargs):
#     def __init__(self, **kwargs):
# def _log_time(method):
#     def timed(*args, **kwargs):
# 
# Path: trimesh/path/polygons.py
# def polygons_obb(polygons):
#     '''
#     Find the OBBs for a list of shapely.geometry.Polygons
#     '''
#     rectangles = [None] * len(polygons)
#     transforms = [None] * len(polygons)
#     for i, p in enumerate(polygons):
#         transforms[i], rectangles[i] = polygon_obb(p)
#     return np.array(transforms), np.array(rectangles)
# 
# def transform_polygon(polygon, transform, plot=False):
#     if is_sequence(polygon):
#         result = [transform_polygon(p, t) for p, t in zip(polygon, transform)]
#     else:
#         shell = transform_points(np.array(polygon.exterior.coords), transform)
#         holes = [transform_points(np.array(i.coords), transform)
#                  for i in polygon.interiors]
#         result = Polygon(shell=shell, holes=holes)
#     if plot:
#         plot_polygon(result)
#     return result


# Path: trimesh/path/packing.py
import numpy as np
        import matplotlib.pyplot as plt
from collections import deque
from ..constants import log, time_function
from ..constants import tol_path as tol
from .polygons import polygons_obb, transform_polygon

            paths_full.extend([path.copy()
                               for i in range(path.metadata['quantity'])])
        else:
            paths_full.append(path.copy())

    polygons = [i.polygons_closed[i.root[0]] for i in paths_full]
    inserted, transforms = multipack(np.array(polygons))
    for path, transform in zip(paths_full, transforms):
        path.apply_transform(transform)
        if show:
            path.plot_discrete(show=False)
    if show:
        plt.show()
    return paths_full


def multipack(polygons,
              sheet_size=None,
              iterations=50,
              density_escape=.985,
              buffer_dist=0.09,
              plot=False,
              return_all=False):
    '''
    Run multiple iterations of rectangle packing, by randomly permutating the 
    insertion order

    If sheet size isn't specified, it creates a large sheet that can fit all 
    of the polygons
    '''

    transforms_obb, rectangles = polygons_obb(polygons)