""" Polyhedron module SPDX - License - Identifier: LGPL - 3.0 - or -later Copyright © 2020 Project Author Guille Gutierrez guillermo.gutierrezmorote@concordia.ca Contributors Pilar Monsalvete Alvarez de Uribarri pilar.monsalvete@concordia.ca """ from typing import List, Union import sys import math import numpy as np from trimesh import Trimesh from helpers.configuration_helper import ConfigurationHelper class Polyhedron: """ Polyhedron class """ def __init__(self, polygons): self._polygons = polygons self._polyhedron = None self._triangulated_polyhedron = None self._volume = None self._faces = None self._vertices = None self._trimesh = None self._centroid = None self._max_z = None self._max_y = None self._max_x = None self._min_z = None self._min_y = None self._min_x = None def _position_of(self, point, face): """ position of a specific point in the list of points that define a face :return: int """ vertices = self.vertices for i in range(len(vertices)): # ensure not duplicated vertex power = 0 vertex2 = vertices[i] for dimension in range(0, 3): power += math.pow(vertex2[dimension] - point[dimension], 2) distance = math.sqrt(power) if i not in face and distance == 0: return i return -1 @property def vertices(self) -> np.ndarray: """ Get polyhedron vertices :return: np.ndarray(int) """ if self._vertices is None: vertices, self._vertices = [], [] _ = [vertices.extend(s.coordinates) for s in self._polygons] for vertex_1 in vertices: found = False for vertex_2 in self._vertices: found = False power = 0 for dimension in range(0, 3): power += math.pow(vertex_2[dimension] - vertex_1[dimension], 2) distance = math.sqrt(power) if distance == 0: found = True break if not found: self._vertices.append(vertex_1) self._vertices = np.asarray(self._vertices) return self._vertices @property def faces(self) -> List[List[int]]: """ Get polyhedron triangular faces :return: [face] """ if self._faces is None: self._faces = [] for polygon in self._polygons: face = [] points = polygon.coordinates if len(points) != 3: sub_polygons = polygon.triangulate() # todo: I modified this! To be checked @Guille if len(sub_polygons) >= 1: for sub_polygon in sub_polygons: face = [] points = sub_polygon.coordinates for point in points: face.append(self._position_of(point, face)) self._faces.append(face) else: for point in points: face.append(self._position_of(point, face)) self._faces.append(face) return self._faces @property def trimesh(self) -> Union[Trimesh, None]: """ Get polyhedron trimesh :return: Trimesh """ if self._trimesh is None: for face in self.faces: if len(face) != 3: sys.stderr.write('Not able to generate trimesh\n') return None self._trimesh = Trimesh(vertices=self.vertices, faces=self.faces) return self._trimesh @property def volume(self): """ Get polyhedron volume in cubic meters :return: float """ if self._volume is None: if self.trimesh is None: self._volume = np.inf elif not self.trimesh.is_volume: self._volume = np.inf else: self._volume = self.trimesh.volume return self._volume @property def max_z(self): """ Get polyhedron maximal z value in meters :return: float """ if self._max_z is None: self._max_z = ConfigurationHelper().min_coordinate for polygon in self._polygons: for point in polygon.coordinates: self._max_z = max(self._max_z, point[2]) return self._max_z @property def max_y(self): """ Get polyhedron maximal y value in meters :return: float """ if self._max_y is None: self._max_y = ConfigurationHelper().min_coordinate for polygon in self._polygons: for point in polygon.coordinates: if self._max_y < point[1]: self._max_y = point[1] return self._max_y @property def max_x(self): """ Get polyhedron maximal x value in meters :return: float """ if self._max_x is None: self._max_x = ConfigurationHelper().min_coordinate for polygon in self._polygons: for point in polygon.coordinates: self._max_x = max(self._max_x, point[0]) return self._max_x @property def min_z(self): """ Get polyhedron minimal z value in meters :return: float """ if self._min_z is None: self._min_z = self.max_z for polygon in self._polygons: for point in polygon.coordinates: if self._min_z > point[2]: self._min_z = point[2] return self._min_z @property def min_y(self): """ Get polyhedron minimal y value in meters :return: float """ if self._min_y is None: self._min_y = self.max_y for polygon in self._polygons: for point in polygon.coordinates: if self._min_y > point[1]: self._min_y = point[1] return self._min_y @property def min_x(self): """ Get polyhedron minimal x value in meters :return: float """ if self._min_x is None: self._min_x = self.max_x for polygon in self._polygons: for point in polygon.coordinates: if self._min_x > point[0]: self._min_x = point[0] return self._min_x @property def centroid(self) -> List[float]: """ Get polyhedron centroid :return: [x,y,z] """ if self._centroid is None: trimesh = self.trimesh if trimesh is None: return None self._centroid = self.trimesh.centroid return self._centroid def stl_export(self, full_path): """ Export the polyhedron to stl given file :param full_path: str :return: None """ self.trimesh.export(full_path, 'stl_ascii') def obj_export(self, full_path): """ Export the polyhedron to obj given file :param full_path: str :return: None """ self.trimesh.export(full_path, 'obj') def show(self): """ Auxiliary function to render the polyhedron :return: None """ self.trimesh.show()