1 // Copyright (C) 2007-2011 CEA/DEN, EDF R&D, 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.
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
29 #include "Archimede_VolumeSection.hxx"
30 #include "utilities.h"
32 #include <BRepMesh_IncrementalMesh.hxx>
33 #include <TopExp_Explorer.hxx>
34 #include <TopLoc_Location.hxx>
35 #include <Poly_Triangulation.hxx>
36 #include <Poly_Array1OfTriangle.hxx>
37 #include <BRep_Tool.hxx>
39 #include <TopoDS_Face.hxx>
40 #include <TopoDS_Shape.hxx>
41 #include <math_Matrix.hxx>
42 #include <gp_Trsf.hxx>
47 #include <GeomAPI_ProjectPointOnSurf.hxx>
48 #include <Geom_RectangularTrimmedSurface.hxx>
50 //-------------------------------------------------------------------------------------------------------
51 //----------------------------------- Methodes publiques -------------------------------------------------
52 //-------------------------------------------------------------------------------------------------------
54 // Maillage de la shape
55 VolumeSection::VolumeSection(TopoDS_Shape S , Standard_Real Precision):myShape(S),Tolerance(Precision)
57 // Maillage de la shape myShape
58 BRepMesh_IncrementalMesh(myShape,Tolerance);
61 TopoDS_Shape VolumeSection::GetShape()
66 void VolumeSection::SetPlane(Handle (Geom_Plane) P)
71 void VolumeSection::CenterOfGravity()
74 Standard_Integer nbNodes;
78 // Boucle sur les faces de la shape
87 for (ex.Init(myShape, TopAbs_FACE); ex.More(); ex.Next())
89 TopoDS_Face F = TopoDS::Face(ex.Current());
90 Handle(Poly_Triangulation) Tr = BRep_Tool::Triangulation(F, L);
92 MESSAGE("Error, null layer" )
93 nbNodes = Tr->NbNodes();
94 const TColgp_Array1OfPnt& Nodes = Tr->Nodes();
96 // Calcul des dimensions de la boite englobante du solide
98 for(i=1;i<=nbNodes;i++)
100 InitPoint = Nodes(i).Transformed(L.Transformation());
101 if(InitPoint.X() < Xmin)
102 Xmin = InitPoint.X();
103 if(InitPoint.X() > Xmax)
104 Xmax = InitPoint.X();
105 if(InitPoint.Y() < Ymin)
106 Ymin = InitPoint.Y();
107 if(InitPoint.Y() > Ymax)
108 Ymax = InitPoint.Y();
109 if(InitPoint.Z() < Zmin)
110 Zmin = InitPoint.Z();
111 if(InitPoint.Z() > Zmax)
112 Zmax = InitPoint.Z();
117 // Creation du point d'initialisation, c'est
\80 dire le centre de gravit
\89
118 //g
\89om
\89trique de la boite englobante
120 InitPoint.SetX(0.5 * (Xmin + Xmax));
121 InitPoint.SetY(0.5 * (Ymin + Ymax));
125 Standard_Real VolumeSection::CalculateVolume(Standard_Real Elevation)
127 Standard_Integer i,noeud[3],flag[3];
128 Standard_Integer nbNodes;
132 Standard_Real Volume=0;
133 Standard_Real Determinant=0;
136 // Projection du point d'initialisation sur le plan de section
138 InitPoint.SetZ(Elevation);
140 for (ex.Init(myShape, TopAbs_FACE); ex.More(); ex.Next())
142 TopoDS_Face F = TopoDS::Face(ex.Current());
143 Handle(Poly_Triangulation) Tr = BRep_Tool::Triangulation(F, L);
145 MESSAGE("Error, null layer" )
146 const Poly_Array1OfTriangle& triangles = Tr->Triangles();
147 Standard_Integer nbTriangles = Tr->NbTriangles();
148 nbNodes = Tr->NbNodes();
149 const TColgp_Array1OfPnt& Nodes = Tr->Nodes();
151 // Calcul des volumes de chaque triangle, de chaque face
152 //en tenant compte des triangles coup
\89s par le plan de section
154 for (i=1;i<=nbTriangles;i++)
157 //Gardons la meme orientation des noeuds
158 if (F.Orientation() == TopAbs_REVERSED)
159 triangles(i).Get(noeud[0], noeud[2], noeud[1]);
161 triangles(i).Get(noeud[0], noeud[1], noeud[2]);
163 P[0] = Nodes(noeud[0]).Transformed(L.Transformation());
165 P[1] = Nodes(noeud[1]).Transformed(L.Transformation());
167 P[2] = Nodes(noeud[2]).Transformed(L.Transformation());
170 // Determination des cas aux limites pour les triangles
171 Standard_Integer i,compteur=0;
175 flag[i]=Standard_False;
178 flag[i]=Standard_True;
186 Determinant = ElementaryVolume(P[0],P[1],P[2]);
192 if (flag[i]==Standard_True)
194 gp_Pnt Result1 = Intersection(P[i],P[(i+1)%3],Elevation);
195 gp_Pnt Result2 = Intersection(P[i],P[(i+2)%3],Elevation);
196 Determinant = ElementaryVolume(Result1,P[(i+1)%3],P[(i+2)%3])
197 + ElementaryVolume(Result1,P[(i+2)%3],Result2);
205 if (flag[i]==Standard_False)
207 gp_Pnt Result1 = Intersection(P[i],P[(i+1)%3],Elevation);
208 gp_Pnt Result2 = Intersection(P[i],P[(i+2)%3],Elevation);
209 Determinant = ElementaryVolume(P[i],Result1,Result2);
217 Volume += Determinant;
224 Standard_Real VolumeSection::Archimede(Standard_Real Constante , Standard_Real Epsilon)
226 // Resolution de l equation V(h) = Constante a l aide de l algorithme de dichotomie avec ponderation type
229 Standard_Real c,Binf,Bsup;
230 Standard_Real tempBsupVolume=0;
231 Standard_Real tempBinfVolume=0;
232 Standard_Real tempCVolume = 0;
238 MESSAGE("error, Bound + < Bound - in dichotomy")
241 tempBsupVolume = CalculateVolume(Bsup);
242 tempBinfVolume = CalculateVolume(Binf);
244 if (Constante>tempBsupVolume || Constante<tempBinfVolume)
246 MESSAGE("error, algorithm start Impossible. Wrong constant value" )
250 c = ((Binf*(tempBsupVolume-Constante))-(Bsup*(tempBinfVolume-Constante)))
251 /((tempBsupVolume-Constante)-(tempBinfVolume-Constante));
252 tempCVolume = CalculateVolume(c);
255 if(Abs(tempCVolume-Constante)<=Epsilon)
261 while((Bsup-Binf)>Epsilon)
263 if((tempBinfVolume-Constante)*(tempCVolume-Constante)>0 && Abs(tempCVolume-Constante)>Epsilon)
266 tempBinfVolume=tempCVolume;
268 c = ((Binf*(tempBsupVolume-Constante))-(Bsup*(tempBinfVolume-Constante)))
269 /((tempBsupVolume-Constante)-(tempBinfVolume-Constante));
270 tempCVolume=CalculateVolume(c);
272 else if((tempBinfVolume-Constante)*(tempCVolume-Constante)<0 && Abs(tempCVolume-Constante)>Epsilon)
275 tempBsupVolume =tempCVolume;
277 c = ((Binf*(tempBsupVolume-Constante))-(Bsup*(tempBinfVolume-Constante)))
278 /((tempBsupVolume-Constante)-(tempBinfVolume-Constante));
279 tempCVolume=CalculateVolume(c);
290 MESSAGE("La ligne de flottaison correspondant a la constante :"<<Constante<<" est a la cote Z = "<<c)
295 void VolumeSection::MakeRotation(gp_Dir PlaneDirection)
297 gp_Dir Zdirection(0.0,0.0,1.0);
298 Standard_Real VariationAngle = 0;
299 gp_Pnt RotationAxeLocation(0.0,0.0,0.0);
300 gp_Dir RotationAxeDirection(1.0,1.0,1.0);
301 gp_Ax1 RotationAxe(RotationAxeLocation,RotationAxeDirection);
302 gp_Trsf Transformation;
304 VariationAngle = Zdirection.Angle(PlaneDirection);
305 RotationAxe.SetDirection(PlaneDirection.Crossed(Zdirection));
306 Transformation.SetRotation(RotationAxe,VariationAngle);
307 TopLoc_Location L(Transformation);
309 myPlane->Transform(Transformation);
312 Handle (Geom_RectangularTrimmedSurface) VolumeSection::TrimSurf()
314 Standard_Real Umin,Umax,Vmin,Vmax;
315 gp_Pnt Pmin(Xmin,Ymin,Zmin);
316 GeomAPI_ProjectPointOnSurf Projection(Pmin,myPlane);
317 Projection.Parameters(1,Umin,Vmin);
318 gp_Pnt Pmax(Xmax,Ymax,Zmax);
319 GeomAPI_ProjectPointOnSurf Projection2(Pmax,myPlane);
320 Projection2.Parameters(1,Umax,Vmax);
321 Handle (Geom_RectangularTrimmedSurface) Plane = new Geom_RectangularTrimmedSurface(myPlane,Umin,Umax,Vmin,Vmax);
325 Handle (Geom_RectangularTrimmedSurface) VolumeSection::InvMakeRotation(gp_Dir PlaneDirection, Handle (Geom_RectangularTrimmedSurface) SurfTrim)
327 gp_Dir Zdirection(0.0,0.0,1.0);
328 Standard_Real VariationAngle = 0;
329 gp_Pnt RotationAxeLocation(0.0,0.0,0.0);
330 gp_Dir RotationAxeDirection(1.0,1.0,1.0);
331 gp_Ax1 RotationAxe(RotationAxeLocation,RotationAxeDirection);
332 gp_Trsf Transformation;
334 VariationAngle = Zdirection.Angle(PlaneDirection);
335 RotationAxe.SetDirection(PlaneDirection.Crossed(Zdirection));
336 Transformation.SetRotation(RotationAxe,-VariationAngle);
337 SurfTrim->Transform(Transformation);
338 TopLoc_Location L(Transformation);
344 Handle (Geom_RectangularTrimmedSurface) VolumeSection::AjustePlan(Handle (Geom_RectangularTrimmedSurface) SurfTrim, Standard_Real Cote, gp_Pnt PosPlan)
346 gp_Trsf Transformation;
347 gp_Pnt PosArchi(PosPlan.X(),PosPlan.Y(),Cote);
349 Transformation.SetTranslation(PosPlan,PosArchi);
350 SurfTrim->Transform(Transformation);
356 //-------------------------------------------------------------------------------------------------------
357 //----------------------------------- Methodes privees ---------------------------------------------------
358 //-------------------------------------------------------------------------------------------------------
361 //Fonction calculant l'intersection de la droite passant par les points P1 et P2
362 //avec le plan horizontal Z=Hauteur
363 gp_Pnt VolumeSection::Intersection(gp_Pnt P1,gp_Pnt P2,Standard_Real Hauteur)
365 Standard_Real constante;
368 constante = (Hauteur-P1.Z())/(P2.Z()-P1.Z());
369 Point.SetX(P1.X()*(1-constante) + constante*P2.X());
370 Point.SetY(P1.Y()*(1-constante) + constante*P2.Y());
376 //Fonction calculant le volume
\89l
\89mentaire de chaque t
\89traedre
\80 partir de 3 points
377 Standard_Real VolumeSection::ElementaryVolume(gp_Pnt P1,gp_Pnt P2,gp_Pnt P3)
379 Standard_Real Determinant;
381 math_Matrix M(1,3,1,3);
383 M(1,1)=P1.X()-InitPoint.X();
384 M(1,2)=P2.X()-InitPoint.X();
385 M(1,3)=P3.X()-InitPoint.X();
386 M(2,1)=P1.Y()-InitPoint.Y();
387 M(2,2)=P2.Y()-InitPoint.Y();
388 M(2,3)=P3.Y()-InitPoint.Y();
389 M(3,1)=P1.Z()-InitPoint.Z();
390 M(3,2)=P2.Z()-InitPoint.Z();
391 M(3,3)=P3.Z()-InitPoint.Z();
393 Determinant = (1.0/6) * M.Determinant();
398 void VolumeSection::getZ( double& min, double& max)