1 // Copyright (C) 2007-2024 CEA, EDF, OPEN CASCADE
3 // Copyright (C) 2003-2007 OPEN CASCADE, EADS/CCR, LIP6, CEA/DEN,
4 // CEDRAT, EDF R&D, LEG, PRINCIPIA R&D, BUREAU VERITAS
6 // This library is free software; you can redistribute it and/or
7 // modify it under the terms of the GNU Lesser General Public
8 // License as published by the Free Software Foundation; either
9 // version 2.1 of the License, or (at your option) any later version.
11 // This library is distributed in the hope that it will be useful,
12 // but WITHOUT ANY WARRANTY; without even the implied warranty of
13 // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
14 // Lesser General Public License for more details.
16 // You should have received a copy of the GNU Lesser General Public
17 // License along with this library; if not, write to the Free Software
18 // Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
20 // See http://www.salome-platform.org/ or email : webmaster.salome@opencascade.com
23 // GEOM ARCHIMEDE : algorithm implementation
24 // File : Archimede_VolumeSection.cxx
25 // Author : Nicolas REJNERI
28 #include "Archimede_VolumeSection.hxx"
29 #include "utilities.h"
31 #include <BRepMesh_IncrementalMesh.hxx>
32 #include <TopExp_Explorer.hxx>
33 #include <TopLoc_Location.hxx>
34 #include <Poly_Triangulation.hxx>
35 #include <Poly_Array1OfTriangle.hxx>
36 #include <BRep_Tool.hxx>
38 #include <TopoDS_Face.hxx>
39 #include <TopoDS_Shape.hxx>
40 #include <math_Matrix.hxx>
41 #include <gp_Trsf.hxx>
46 #include <GeomAPI_ProjectPointOnSurf.hxx>
47 #include <Geom_RectangularTrimmedSurface.hxx>
49 //-------------------------------------------------------------------------------------------------------
50 //----------------------------------- Methodes publiques -------------------------------------------------
51 //-------------------------------------------------------------------------------------------------------
53 // Maillage de la shape
54 VolumeSection::VolumeSection(TopoDS_Shape S , Standard_Real Precision):myShape(S),Tolerance(Precision)
56 // Maillage de la shape myShape
57 BRepMesh_IncrementalMesh(myShape,Tolerance);
60 TopoDS_Shape VolumeSection::GetShape()
65 void VolumeSection::SetPlane(Handle (Geom_Plane) P)
70 void VolumeSection::CenterOfGravity()
73 Standard_Integer nbNodes;
77 // Boucle sur les faces de la shape
86 for (ex.Init(myShape, TopAbs_FACE); ex.More(); ex.Next())
88 TopoDS_Face F = TopoDS::Face(ex.Current());
89 Handle(Poly_Triangulation) Tr = BRep_Tool::Triangulation(F, L);
91 MESSAGE("Error, null layer" );
92 nbNodes = Tr->NbNodes();
94 // Calcul des dimensions de la boite englobante du solide
96 for(i=1;i<=nbNodes;i++)
98 InitPoint = Tr->Node(i).Transformed(L.Transformation());
99 if(InitPoint.X() < Xmin)
100 Xmin = InitPoint.X();
101 if(InitPoint.X() > Xmax)
102 Xmax = InitPoint.X();
103 if(InitPoint.Y() < Ymin)
104 Ymin = InitPoint.Y();
105 if(InitPoint.Y() > Ymax)
106 Ymax = InitPoint.Y();
107 if(InitPoint.Z() < Zmin)
108 Zmin = InitPoint.Z();
109 if(InitPoint.Z() > Zmax)
110 Zmax = InitPoint.Z();
115 // Creation du point d'initialisation, c'est e dire le centre de gravite
116 // geometrique de la boite englobante
118 InitPoint.SetX(0.5 * (Xmin + Xmax));
119 InitPoint.SetY(0.5 * (Ymin + Ymax));
123 Standard_Real VolumeSection::CalculateVolume(Standard_Real Elevation)
125 Standard_Integer i,noeud[3],flag[3];
126 //Standard_Integer nbNodes;
130 Standard_Real Volume=0;
131 Standard_Real Determinant=0;
134 // Projection du point d'initialisation sur le plan de section
136 InitPoint.SetZ(Elevation);
138 for (ex.Init(myShape, TopAbs_FACE); ex.More(); ex.Next())
140 TopoDS_Face F = TopoDS::Face(ex.Current());
141 Handle(Poly_Triangulation) Tr = BRep_Tool::Triangulation(F, L);
143 MESSAGE("Error, null layer" );
144 Standard_Integer nbTriangles = Tr->NbTriangles();
146 // Calcul des volumes de chaque triangle, de chaque face
147 // en tenant compte des triangles coupes par le plan de section
149 for (i=1;i<=nbTriangles;i++)
152 //Gardons la meme orientation des noeuds
153 if (F.Orientation() == TopAbs_REVERSED)
154 Tr->Triangle(i).Get(noeud[0], noeud[2], noeud[1]);
156 Tr->Triangle(i).Get(noeud[0], noeud[1], noeud[2]);
158 P[0] = Tr->Node(noeud[0]).Transformed(L.Transformation());
160 P[1] = Tr->Node(noeud[1]).Transformed(L.Transformation());
162 P[2] = Tr->Node(noeud[2]).Transformed(L.Transformation());
165 // Determination des cas aux limites pour les triangles
166 Standard_Integer i,compteur=0;
170 flag[i]=Standard_False;
173 flag[i]=Standard_True;
181 Determinant = ElementaryVolume(P[0],P[1],P[2]);
187 if (flag[i]==Standard_True)
189 gp_Pnt Result1 = Intersection(P[i],P[(i+1)%3],Elevation);
190 gp_Pnt Result2 = Intersection(P[i],P[(i+2)%3],Elevation);
191 Determinant = ElementaryVolume(Result1,P[(i+1)%3],P[(i+2)%3])
192 + ElementaryVolume(Result1,P[(i+2)%3],Result2);
200 if (flag[i]==Standard_False)
202 gp_Pnt Result1 = Intersection(P[i],P[(i+1)%3],Elevation);
203 gp_Pnt Result2 = Intersection(P[i],P[(i+2)%3],Elevation);
204 Determinant = ElementaryVolume(P[i],Result1,Result2);
212 Volume += Determinant;
219 Standard_Real VolumeSection::Archimede(Standard_Real Constante , Standard_Real Epsilon)
221 // Resolution de l equation V(h) = Constante a l aide de l algorithme de dichotomie avec ponderation type
224 Standard_Real c,Binf,Bsup;
225 Standard_Real tempBsupVolume=0;
226 Standard_Real tempBinfVolume=0;
227 Standard_Real tempCVolume = 0;
233 MESSAGE("error, Bound + < Bound - in dichotomy");
236 tempBsupVolume = CalculateVolume(Bsup);
237 tempBinfVolume = CalculateVolume(Binf);
239 if (Constante>tempBsupVolume || Constante<tempBinfVolume)
241 MESSAGE("error, algorithm start Impossible. Wrong constant value" );
245 c = ((Binf*(tempBsupVolume-Constante))-(Bsup*(tempBinfVolume-Constante)))
246 /((tempBsupVolume-Constante)-(tempBinfVolume-Constante));
247 tempCVolume = CalculateVolume(c);
250 if(Abs(tempCVolume-Constante)<=Epsilon)
256 while((Bsup-Binf)>Epsilon)
258 if((tempBinfVolume-Constante)*(tempCVolume-Constante)>0 && Abs(tempCVolume-Constante)>Epsilon)
261 tempBinfVolume=tempCVolume;
263 c = ((Binf*(tempBsupVolume-Constante))-(Bsup*(tempBinfVolume-Constante)))
264 /((tempBsupVolume-Constante)-(tempBinfVolume-Constante));
265 tempCVolume=CalculateVolume(c);
267 else if((tempBinfVolume-Constante)*(tempCVolume-Constante)<0 && Abs(tempCVolume-Constante)>Epsilon)
270 tempBsupVolume =tempCVolume;
272 c = ((Binf*(tempBsupVolume-Constante))-(Bsup*(tempBinfVolume-Constante)))
273 /((tempBsupVolume-Constante)-(tempBinfVolume-Constante));
274 tempCVolume=CalculateVolume(c);
285 MESSAGE("La ligne de flottaison correspondant a la constante :"<<Constante<<" est a la cote Z = "<<c);
290 void VolumeSection::MakeRotation(gp_Dir PlaneDirection)
292 gp_Dir Zdirection(0.0,0.0,1.0);
293 Standard_Real VariationAngle = 0;
294 gp_Pnt RotationAxeLocation(0.0,0.0,0.0);
295 gp_Dir RotationAxeDirection(1.0,1.0,1.0);
296 gp_Ax1 RotationAxe(RotationAxeLocation,RotationAxeDirection);
297 gp_Trsf Transformation;
299 VariationAngle = Zdirection.Angle(PlaneDirection);
300 RotationAxe.SetDirection(PlaneDirection.Crossed(Zdirection));
301 Transformation.SetRotation(RotationAxe,VariationAngle);
302 TopLoc_Location L(Transformation);
304 myPlane->Transform(Transformation);
307 Handle (Geom_RectangularTrimmedSurface) VolumeSection::TrimSurf()
309 Standard_Real Umin,Umax,Vmin,Vmax;
310 gp_Pnt Pmin(Xmin,Ymin,Zmin);
311 GeomAPI_ProjectPointOnSurf Projection(Pmin,myPlane);
312 Projection.Parameters(1,Umin,Vmin);
313 gp_Pnt Pmax(Xmax,Ymax,Zmax);
314 GeomAPI_ProjectPointOnSurf Projection2(Pmax,myPlane);
315 Projection2.Parameters(1,Umax,Vmax);
316 Handle (Geom_RectangularTrimmedSurface) Plane = new Geom_RectangularTrimmedSurface(myPlane,Umin,Umax,Vmin,Vmax);
320 Handle (Geom_RectangularTrimmedSurface) VolumeSection::InvMakeRotation(gp_Dir PlaneDirection, Handle (Geom_RectangularTrimmedSurface) SurfTrim)
322 gp_Dir Zdirection(0.0,0.0,1.0);
323 Standard_Real VariationAngle = 0;
324 gp_Pnt RotationAxeLocation(0.0,0.0,0.0);
325 gp_Dir RotationAxeDirection(1.0,1.0,1.0);
326 gp_Ax1 RotationAxe(RotationAxeLocation,RotationAxeDirection);
327 gp_Trsf Transformation;
329 VariationAngle = Zdirection.Angle(PlaneDirection);
330 RotationAxe.SetDirection(PlaneDirection.Crossed(Zdirection));
331 Transformation.SetRotation(RotationAxe,-VariationAngle);
332 SurfTrim->Transform(Transformation);
333 TopLoc_Location L(Transformation);
339 Handle (Geom_RectangularTrimmedSurface) VolumeSection::AjustePlan(Handle (Geom_RectangularTrimmedSurface) SurfTrim, Standard_Real Cote, gp_Pnt PosPlan)
341 gp_Trsf Transformation;
342 gp_Pnt PosArchi(PosPlan.X(),PosPlan.Y(),Cote);
344 Transformation.SetTranslation(PosPlan,PosArchi);
345 SurfTrim->Transform(Transformation);
351 //-------------------------------------------------------------------------------------------------------
352 //----------------------------------- Methodes privees ---------------------------------------------------
353 //-------------------------------------------------------------------------------------------------------
356 //Fonction calculant l'intersection de la droite passant par les points P1 et P2
357 //avec le plan horizontal Z=Hauteur
358 gp_Pnt VolumeSection::Intersection(gp_Pnt P1,gp_Pnt P2,Standard_Real Hauteur)
360 Standard_Real constante;
363 constante = (Hauteur-P1.Z())/(P2.Z()-P1.Z());
364 Point.SetX(P1.X()*(1-constante) + constante*P2.X());
365 Point.SetY(P1.Y()*(1-constante) + constante*P2.Y());
371 // Fonction calculant le volume elementaire de chaque tetraedre e partir de 3 points
372 Standard_Real VolumeSection::ElementaryVolume(gp_Pnt P1,gp_Pnt P2,gp_Pnt P3)
374 Standard_Real Determinant;
376 math_Matrix M(1,3,1,3);
378 M(1,1)=P1.X()-InitPoint.X();
379 M(1,2)=P2.X()-InitPoint.X();
380 M(1,3)=P3.X()-InitPoint.X();
381 M(2,1)=P1.Y()-InitPoint.Y();
382 M(2,2)=P2.Y()-InitPoint.Y();
383 M(2,3)=P3.Y()-InitPoint.Y();
384 M(3,1)=P1.Z()-InitPoint.Z();
385 M(3,2)=P2.Z()-InitPoint.Z();
386 M(3,3)=P3.Z()-InitPoint.Z();
388 Determinant = (1.0/6) * M.Determinant();
393 void VolumeSection::getZ( double& min, double& max)