+++ /dev/null
-// SMESH SMESHGUI : GUI for SMESH component
-//
-// Copyright (C) 2003 OPEN CASCADE, EADS/CCR, LIP6, CEA/DEN,
-// CEDRAT, EDF R&D, LEG, PRINCIPIA R&D, BUREAU VERITAS
-//
-// This library is free software; you can redistribute it and/or
-// modify it under the terms of the GNU Lesser General Public
-// License as published by the Free Software Foundation; either
-// version 2.1 of the License.
-//
-// This library is distributed in the hope that it will be useful,
-// but WITHOUT ANY WARRANTY; without even the implied warranty of
-// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
-// Lesser General Public License for more details.
-//
-// You should have received a copy of the GNU Lesser General Public
-// License along with this library; if not, write to the Free Software
-// Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
-//
-// See http://www.opencascade.org/SALOME/ or email : webmaster.salome@opencascade.org
-//
-//
-//
-// File : SMESHGUI_ComputeScalarValue.cxx
-// Author : Nicolas REJNERI
-// Module : SMESH
-// $Header$
-
-using namespace std;
-#include "SMESHGUI_ComputeScalarValue.h"
-#include "utilities.h"
-#include <math.h>
-
-//=============================================================================
-/*!
- *
- */
-//=============================================================================
-static double ComputeLength(float* p1, float* p2) {
- float a1,a2,a3,b1,b2,b3;
- a1 = p1[0];
- a2 = p1[1];
- a3 = p1[2];
- b1 = p2[0];
- b2 = p2[1];
- b3 = p2[2];
- // MESSAGE( a1 << " "<< a2 << " "<< a3 << " " << b1 << " "<< b2 << " "<< b3 );
- float X1,Y1,Z1,X2,Z2,Y2;
- X1 = b1 - a1;
- Y1 = b2 - a2;
- Z1 = b3 - a3;
- // MESSAGE( X1 << " "<< Y1 << " "<< Z1 );
- float e1;
- e1 = sqrt( X1*X1 + Y1*Y1 + Z1*Z1 ) ;
- // MESSAGE( "Length = " << e1 );
- return e1;
-}
-
-//=============================================================================
-/*!
- *
- */
-//=============================================================================
-double SMESHGUI_ComputeScalarValue::LengthEdges(vtkCell* theCell) {
- int num_points = theCell->GetNumberOfPoints ();
- vtkPoints* points = theCell->GetPoints();
- if (num_points != 2 ) return 0;
- float* pnt1 = points->GetPoint(0);
- float* pnt2 = points->GetPoint(1);
- return ComputeLength(pnt1,pnt2);
-};
-
-//=============================================================================
-/*!
- *
- */
-//=============================================================================
-static double ComputeAreaOfTriangle(float* p1, float* p2, float* p3) {
- double a1,a2,a3,b1,b2,b3,c1,c2,c3;
- a1 = p1[0];
- a2 = p1[1];
- a3 = p1[2];
- b1 = p2[0];
- b2 = p2[1];
- b3 = p2[2];
- c1 = p3[0];
- c2 = p3[1];
- c3 = p3[2];
-
- float e1, e2, e3;
- e1 = sqrt( (a1-b1)*(a1-b1) + (a2-b2)*(a2-b2) + (a3-b3)*(a3-b3) ) ;
- e2 = sqrt( (b1-c1)*(b1-c1) + (b2-c2)*(b2-c2) + (b3-c3)*(b3-c3) ) ;
- e3 = sqrt( (c1-a1)*(c1-a1) + (c2-a2)*(c2-a2) + (c3-a3)*(c3-a3) ) ;
-
- // MESSAGE( "e = " << e1 << " " << e2 <<" " << e3 );
- float s = (e1+e2+e3)/2;
- double area = sqrt(s*(s-e1)*(s-e2)*(s-e3));
- // MESSAGE( "area = " << area );
- return area;
-}
-
-//=============================================================================
-/*!
- *
- */
-//=============================================================================
-double SMESHGUI_ComputeScalarValue::AreaElements(vtkCell* theCell){
- // MESSAGE ( " SMESHGUI_ComputeScalarValue::AreaElements " )
- int num_points = theCell->GetNumberOfPoints ();
- vtkPoints* points = theCell->GetPoints();
- // MESSAGE( "num_points = "<< num_points );
- for (int j = 0; j < theCell->GetNumberOfPoints (); j++) {
- float* pnt = points->GetPoint(j);
- // MESSAGE( pnt[0] << " " << pnt[1] << " " << pnt[2] );
- }
- if (num_points < 3 ) return 0;
- if (num_points == 3) {
- float* p1 = points->GetPoint(0);
- float* p2 = points->GetPoint(1);
- float* p3 = points->GetPoint(2);
- double area = ComputeAreaOfTriangle(p1,p2,p3);
- return area;
- } else if (num_points == 4) {
- float* p1 = points->GetPoint(0);
- float* p2 = points->GetPoint(1);
- float* p3 = points->GetPoint(2);
- float* p4 = points->GetPoint(3);
- double area1 = ComputeAreaOfTriangle(p1,p2,p3);
- double area2 = ComputeAreaOfTriangle(p3,p4,p1);
- return area1+area2;
- }
-};
-
-//=============================================================================
-/*!
- *
- */
-//=============================================================================
-double SMESHGUI_ComputeScalarValue::Taper(vtkCell* theCell){
- int num_points = theCell->GetNumberOfPoints ();
- vtkPoints* points = theCell->GetPoints();
- if (num_points != 4 ) return 0;
- float* p1 = points->GetPoint(0);
- float* p2 = points->GetPoint(1);
- float* p3 = points->GetPoint(2);
- float* p4 = points->GetPoint(3);
- double A1 = ComputeAreaOfTriangle(p4,p1,p2);
- double A2 = ComputeAreaOfTriangle(p3,p1,p2);
- double A3 = ComputeAreaOfTriangle(p2,p3,p4);
- double A4 = ComputeAreaOfTriangle(p3,p4,p1);
- double JA = 0.25 * (A1 + A2 + A3 + A4);
- double taper = fabs(A1/(JA-1));
- if (fabs(A2/(JA-1)) > taper) taper = fabs(A2/(JA-1));
- if (fabs(A3/(JA-1)) > taper) taper = fabs(A3/(JA-1));
- if (fabs(A4/(JA-1)) > taper) taper = fabs(A4/(JA-1));
- // MESSAGE( "Taper = " << taper);
- return taper;
-};
-
-//=============================================================================
-/*!
- *
- */
-//=============================================================================
-double SMESHGUI_ComputeScalarValue::AspectRatio(vtkCell* theCell) {
- int num_points = theCell->GetNumberOfPoints ();
- vtkPoints* points = theCell->GetPoints();
- if (num_points < 3 ) return 0;
- if (num_points == 3) {
- float a1,a2,a3,b1,b2,b3,c1,c2,c3;
- float* pnt = points->GetPoint(0);
- a1 = pnt[0];
- a2 = pnt[1];
- a3 = pnt[2];
- pnt = points->GetPoint(1);
- b1 = pnt[0];
- b2 = pnt[1];
- b3 = pnt[2];
- pnt = points->GetPoint(2);
- c1 = pnt[0];
- c2 = pnt[1];
- c3 = pnt[2];
-
- float e1, e2, e3;
- e1 = sqrt( (a1-b1)*(a1-b1) + (a2-b2)*(a2-b2) + (a3-b3)*(a3-b3) ) ;
- e2 = sqrt( (b1-c1)*(b1-c1) + (b2-c2)*(b2-c2) + (b3-c3)*(b3-c3) ) ;
- e3 = sqrt( (c1-a1)*(c1-a1) + (c2-a2)*(c2-a2) + (c3-a3)*(c3-a3) ) ;
-
- float amax,p,s;
-
- amax=e1;
- if (e2>amax) amax=e2;
- if (e3>amax) amax=e3;
-
- p=(e1+e2+e3)/2;
- s=AreaElements(theCell);
-
- double aspectRatio=amax*p*sqrt(double(3))/(s*6);
- // MESSAGE( "aspectRatio = " << aspectRatio );
- return(aspectRatio);
- }
- else if (num_points == 4) {
- float a1,a2,a3,b1,b2,b3,c1,c2,c3,d1,d2,d3;
- float* pnt = points->GetPoint(0);
- a1 = pnt[0];
- a2 = pnt[1];
- a3 = pnt[2];
- pnt = points->GetPoint(1);
- b1 = pnt[0];
- b2 = pnt[1];
- b3 = pnt[2];
- pnt = points->GetPoint(2);
- c1 = pnt[0];
- c2 = pnt[1];
- c3 = pnt[2];
- pnt = points->GetPoint(3);
- d1 = pnt[0];
- d2 = pnt[1];
- d3 = pnt[2];
-
- float e1, e2, e3, e4;
- float len_min, len_max;
- e1 = sqrt( (a1-b1)*(a1-b1) + (a2-b2)*(a2-b2) + (a3-b3)*(a3-b3) ) ;
- e2 = sqrt( (b1-c1)*(b1-c1) + (b2-c2)*(b2-c2) + (b3-c3)*(b3-c3) ) ;
- e3 = sqrt( (c1-d1)*(c1-d1) + (c2-d2)*(c2-d2) + (c3-d3)*(c3-d3) ) ;
- e4 = sqrt( (d1-a1)*(d1-a1) + (d2-a2)*(d2-a2) + (d3-a3)*(d3-a3) ) ;
-
- len_min = e1; len_max = e1;
-
- if (e2 >len_max ) len_max = e2;
- if (e3 >len_max ) len_max = e3;
- if (e4 >len_max ) len_max = e4;
- if (e2 <len_min ) len_min = e2;
- if (e3 <len_min ) len_min = e3;
- if (e4 <len_min ) len_min = e4;
-
- return (len_max/len_min);
- }
-};
-
-//=============================================================================
-/*!
- *
- */
-//=============================================================================
-static double ComputeAngle(float* p1, float* p2, float* p3) {
- const double pi=4*atan(double(1));
- float a1,a2,a3,b1,b2,b3,c1,c2,c3;
- a1 = p1[0];
- a2 = p1[1];
- a3 = p1[2];
- b1 = p2[0];
- b2 = p2[1];
- b3 = p2[2];
- c1 = p3[0];
- c2 = p3[1];
- c3 = p3[2];
- float X1,Y1,Z1,X2,Z2,Y2;
- X1 = b1 - a1;
- X2 = c1 - b1;
- Y1 = b2 - a2;
- Y2 = c2 - b2;
- Z1 = b3 - a3;
- Z2 = c3 - b3;
-
-
- float e1, e2, e3;
- e1 = sqrt( X1*X1 + Y1*Y1 + Z1*Z1 ) ;
- e2 = sqrt( X2*X2 + Y2*Y2 + Z2*Z2 ) ;
- double dot=(X1*(X2)+Y1*(Y2)+Z1*(Z2));
- // MESSAGE( pi );
- // MESSAGE( dot/(e1*e2) );
- double cosinus = dot/(e1*e2);
- cosinus = fabs(cosinus);
- return 180*acos (cosinus)/pi;
-}
-
-//=============================================================================
-/*!
- *
- */
-//=============================================================================
-double SMESHGUI_ComputeScalarValue::MinimumAngle(vtkCell* theCell) {
- int num_points = theCell->GetNumberOfPoints ();
- vtkPoints* points = theCell->GetPoints();
- if (num_points < 3 ) return 0;
- float* pnt1 = points->GetPoint(0);
- float* pnt2 = points->GetPoint(1);
- float* pnt3 = points->GetPoint(2);
- if (num_points == 3) {
- double a1,a2,a3,amin;
- a1=fabs(ComputeAngle(pnt1,pnt2,pnt3));
- amin=a1;
- a2=fabs(ComputeAngle(pnt2,pnt3,pnt1));
- if (a2<amin) amin=a2;
- a3=fabs(ComputeAngle(pnt3,pnt1,pnt2));
- if (a3<amin) amin=a3;
- // MESSAGE( "Minimal angle " << amin );
- return amin;
- }
- else if (num_points == 4) {
- float* pnt4 = points->GetPoint(3);
- double a1,a2,a3,a4,amin;
- a1=fabs(ComputeAngle(pnt1,pnt2,pnt3));
- amin=a1;
- a2=fabs(ComputeAngle(pnt2,pnt3,pnt4));
- if (a2<amin) amin=a2;
- a3=fabs(ComputeAngle(pnt3,pnt4,pnt1));
- if (a3<amin) amin=a3;
- a4=fabs(ComputeAngle(pnt4,pnt1,pnt2));
- if (a4<amin) amin=a4;
-
- // MESSAGE( "Minimal angle " << amin );
- return amin;
- }
-};
-
-//=============================================================================
-/*!
- *
- */
-//=============================================================================
-double SMESHGUI_ComputeScalarValue::Skew(vtkCell* theCell) {
- int num_points = theCell->GetNumberOfPoints ();
- vtkPoints* points = theCell->GetPoints();
- if (num_points < 3 ) return 0;
- //triangle case
- if (num_points == 3) {
- float* pnt1 = points->GetPoint(0);
- float* pnt2 = points->GetPoint(1);
- float* pnt3 = points->GetPoint(2);
- double a1,a2,a3,amax;
- a1=fabs(60 - fabs(ComputeAngle(pnt1,pnt2,pnt3)));
- amax=a1;
- a2=fabs(60 - fabs(ComputeAngle(pnt2,pnt3,pnt1)));
- if (a2>amax) amax=a2;
- a3=fabs(60 - fabs(ComputeAngle(pnt3,pnt1,pnt2)));
- if (a3>amax) amax=a3;
- // MESSAGE( "Skew = " << amax );
- return amax;
- }
- //quadrangle case
- else if (num_points == 4) {
- float* pnt1 = points->GetPoint(0);
- float* pnt2 = points->GetPoint(1);
- float* pnt3 = points->GetPoint(2);
- float* pnt4 = points->GetPoint(3);
-
- double a1,a2,a3,a4,amax;
- a1=fabs(90 - fabs(ComputeAngle(pnt1,pnt2,pnt3)));
- amax=a1;
- a2=fabs(90 - fabs(ComputeAngle(pnt2,pnt3,pnt4)));
- if (a2>amax) amax=a2;
- a3=fabs(90 - fabs(ComputeAngle(pnt3,pnt4,pnt1)));
- if (a3>amax) amax=a3;
- a4=fabs(90 - fabs(ComputeAngle(pnt4,pnt1,pnt2)));
- if (a4>amax) amax=a4;
- // MESSAGE( "Skew = " << amax );
- return amax;
- }
-};
-
-//=============================================================================
-/*!
- *
- */
-//=============================================================================
-static double ComputeA(float* p1, float* p2, float* p3, float* G) {
- double e1 = sqrt(pow(p2[0]-p1[0], 2)+pow(p2[1]-p1[1], 2)+pow(p2[2]-p1[2], 2));
- double e2 = sqrt(pow(p3[0]-p2[0], 2)+pow(p3[1]-p2[1], 2)+pow(p3[2]-p2[2], 2));
- double l;
- if (e1 < e2) l = 0.5*e1;
- else l = 0.5*e2;
- float GI[3], GJ[3], N[3];;
- GI[0] = (p2[0]-p1[0])/2-G[0];
- GI[1] = (p2[1]-p1[1])/2-G[1];
- GI[2] = (p2[2]-p1[2])/2-G[2];
-
- GJ[0] = (p3[0]-p2[0])/2-G[0];
- GJ[1] = (p3[1]-p2[1])/2-G[1];
- GJ[2] = (p3[2]-p2[2])/2-G[2];
-
- N[0] = GI[1]*GJ[2] - GI[2]*GJ[1];
- N[1] = GI[2]*GJ[0] - GI[0]*GJ[2];
- N[2] = GI[0]*GJ[1] - GI[1]*GJ[0];
-
- double H;
- float T[3];
- T[0] = (p1[0]-G[0])*N[0];
- T[1] = (p1[1]-G[1])*N[1];
- T[2] = (p1[2]-G[2])*N[2];
-
- H = sqrt(pow(T[0],2)+pow(T[1],2)+pow(T[2],2))/sqrt(pow(N[0],2)+pow(N[1],2)+pow(N[2],2));
- double A = H/l;
- return A;
-}
-
-//=============================================================================
-/*!
- *
- */
-//=============================================================================
-double SMESHGUI_ComputeScalarValue::Warp(vtkCell* theCell) {
- int num_points = theCell->GetNumberOfPoints ();
- vtkPoints* points = theCell->GetPoints();
- if (num_points != 4 ) return 0;
- float* p1 = points->GetPoint(0);
- float* p2 = points->GetPoint(1);
- float* p3 = points->GetPoint(2);
- float* p4 = points->GetPoint(3);
- double G1, G2, G3;
- float G[3];
- G[0] = (p1[0]+p2[0]+p3[0]+p4[0])/4;
- G[1] = (p1[1]+p2[1]+p3[1]+p4[1])/4;
- G[2] = (p1[2]+p2[2]+p3[2]+p4[2])/4;
- double amax = ComputeA(p1, p2, p3, G);
- double nextA = ComputeA(p2, p3, p4, G);
- if (nextA > amax) amax = nextA;
- nextA = ComputeA(p3, p4, p1, G);
- if (nextA > amax) amax = nextA;
- nextA = ComputeA(p4, p1, p2, G);
- if (nextA > amax) amax = nextA;
- // MESSAGE( "Warp = " << amax );
- return amax;
-}
