# 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
    of the polygons
    '''
    transforms_obb, rectangles = polygons_obb(polygons)
    rectangles += 2.0 * buffer_dist
    polygon_area = np.array([p.area for p in polygons])

    for i, r in enumerate(rectangles):
        transforms_obb[i][0:2, 2] += r * .5

    tic = time_function()
    overall_density = 0

    if sheet_size is None:
        max_dim = np.max(rectangles, axis=0)
        sum_dim = np.sum(rectangles, axis=0)
        sheet_size = [sum_dim[0], max_dim[1] * 2]

    log.info('Packing %d polygons', len(polygons))
    for i in range(iterations):
        density, offset, inserted, sheet = pack_rectangles(rectangles,
                                                           sheet_size=sheet_size,
                                                           shuffle=(i != 0))
        if density > overall_density:
            overall_density = density
            overall_offset = offset
            overall_inserted = inserted
            overall_sheet = sheet
            if density > density_escape:
                break


# 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

    of the polygons
    '''
    transforms_obb, rectangles = polygons_obb(polygons)
    rectangles += 2.0 * buffer_dist
    polygon_area = np.array([p.area for p in polygons])

    for i, r in enumerate(rectangles):
        transforms_obb[i][0:2, 2] += r * .5

    tic = time_function()
    overall_density = 0

    if sheet_size is None:
        max_dim = np.max(rectangles, axis=0)
        sum_dim = np.sum(rectangles, axis=0)
        sheet_size = [sum_dim[0], max_dim[1] * 2]

    log.info('Packing %d polygons', len(polygons))
    for i in range(iterations):
        density, offset, inserted, sheet = pack_rectangles(rectangles,
                                                           sheet_size=sheet_size,
                                                           shuffle=(i != 0))
        if density > overall_density:
            overall_density = density
            overall_offset = offset
            overall_inserted = inserted
            overall_sheet = sheet
            if density > density_escape:
                break


    toc = time_function()