1 # -*- coding: utf-8 -*-
2 # Copyright (C) 2014-2021 EDF R&D
4 # This library is free software; you can redistribute it and/or
5 # modify it under the terms of the GNU Lesser General Public
6 # License as published by the Free Software Foundation; either
7 # version 2.1 of the License, or (at your option) any later version.
9 # This library is distributed in the hope that it will be useful,
10 # but WITHOUT ANY WARRANTY; without even the implied warranty of
11 # MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
12 # Lesser General Public License for more details.
14 # You should have received a copy of the GNU Lesser General Public
15 # License along with this library; if not, write to the Free Software
16 # Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
18 # See http://www.salome-platform.org/ or email : webmaster.salome@opencascade.com
20 """Calcul de produit mixte pour orientation"""
24 from .geomsmesh import geompy
26 def produitMixte(origine, point_1, point_2, point_3):
27 """produit mixte de 3 vecteurs a partir d'une origine et 3 points"""
28 coordo = geompy.PointCoordinates(origine)
29 coord_1 = geompy.PointCoordinates(point_1)
30 coord_2 = geompy.PointCoordinates(point_2)
31 coord_3 = geompy.PointCoordinates(point_3)
33 o_1 = [coord_1[0] - coordo[0], coord_1[1] - coordo[1], coord_1[2] - coordo[2]]
34 o_2 = [coord_2[0] - coordo[0], coord_2[1] - coordo[1], coord_2[2] - coordo[2]]
35 o_3 = [coord_3[0] - coordo[0], coord_3[1] - coordo[1], coord_3[2] - coordo[2]]
37 prmi = ( o_1[0]*o_2[1]*o_3[2] + o_2[0]*o_3[1]*o_1[2] + o_3[0]*o_1[1]*o_2[2] ) \
38 - ( o_1[0]*o_3[1]*o_2[2] + o_2[0]*o_1[1]*o_3[2] + o_3[0]*o_2[1]*o_1[2] )
40 logging.debug('prmi=%s', prmi)