-// Copyright (C) 2007-2013 CEA/DEN, EDF R&D
+// Copyright (C) 2007-2016 CEA/DEN, EDF R&D
//
// 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.
+// version 2.1 of the License, or (at your option) any later version.
//
// This library is distributed in the hope that it will be useful,
// but WITHOUT ANY WARRANTY; without even the implied warranty of
#include <cmath>
#include <limits>
#include <algorithm>
+#include <functional>
namespace INTERP_KERNEL
{
- double SquareDistanceFromPtToSegInSpaceDim2(const double *pt, const double *pt0Seg2, const double *pt1Seg2) throw(INTERP_KERNEL::Exception)
+ /* Orthogonal distance from a point to a plane defined by three points p1, p2, p3.
+ * Returns a signed distance, the normal of the plane being defined by (p1-p2)x(p3-p2)
+ */
+ double OrthoDistanceFromPtToPlaneInSpaceDim3(const double *p, const double *p1, const double *p2, const double *p3)
+ {
+ double prec = 1.0e-14;
+ double T[2][3] = {{p1[0] - p2[0], p1[1] - p2[1], p1[2] - p2[2]},
+ {p3[0] - p2[0], p3[1] - p2[1], p3[2] - p2[2]}};
+ double N[3] = {T[0][1]*T[1][2]-T[0][2]*T[1][1],
+ T[0][2]*T[1][0]-T[0][0]*T[1][2],
+ T[0][0]*T[1][1]-T[0][1]*T[1][0]};
+
+ double norm2 = N[0]*N[0] + N[1]*N[1] + N[2]*N[2];
+ if (norm2 < prec)
+ throw INTERP_KERNEL::Exception("OrthoDistanceFromPtToPlaneInSpaceDim3: degenerated normal vector!");
+ double num = N[0]*(p[0]-p1[0]) + N[1]*(p[1]-p1[1]) + N[2]*(p[2]-p1[2]);
+ return num/sqrt(norm2);
+ }
+
+ double SquareDistanceFromPtToSegInSpaceDim2(const double *pt, const double *pt0Seg2, const double *pt1Seg2, std::size_t &nbOfHint)
{
double dx=pt1Seg2[0]-pt0Seg2[0],dy=pt1Seg2[1]-pt0Seg2[1];
double norm=sqrt(dx*dx+dy*dy);
if(norm==0.)
- return std::numeric_limits<double>::max();
+ return (pt[0]-pt0Seg2[0])*(pt[0]-pt0Seg2[0])+(pt[1]-pt0Seg2[1])*(pt[1]-pt0Seg2[1]);//return std::numeric_limits<double>::max();
dx/=norm; dy/=norm;
double dx2=pt[0]-pt0Seg2[0],dy2=pt[1]-pt0Seg2[1];
double dotP=(dx2*dx+dy2*dy);
if(dotP<0. || dotP>norm)
- return std::numeric_limits<double>::max();
+ return dotP<0.?(pt[0]-pt0Seg2[0])*(pt[0]-pt0Seg2[0])+(pt[1]-pt0Seg2[1])*(pt[1]-pt0Seg2[1]):(pt[0]-pt1Seg2[0])*(pt[0]-pt1Seg2[0])+(pt[1]-pt1Seg2[1])*(pt[1]-pt1Seg2[1]);
+ nbOfHint++;
double x=pt0Seg2[0]+dotP*dx,y=pt0Seg2[1]+dotP*dy;
return (x-pt[0])*(x-pt[0])+(y-pt[1])*(y-pt[1]);
}
- double DistanceFromPtToTriInSpaceDim3(const double *pt, const double *pt0Tri3, const double *pt1Tri3, const double *pt2Tri3) throw(INTERP_KERNEL::Exception)
+ double DistanceFromPtToTriInSpaceDim3(const double *pt, const double *pt0Tri3, const double *pt1Tri3, const double *pt2Tri3)
{
double matrix[12];
if(!ComputeRotTranslationMatrixToPut3PointsOnOXY(pt0Tri3,pt1Tri3,pt2Tri3,matrix))
xy[1]=matrix[4]*pt[0]+matrix[5]*pt[1]+matrix[6]*pt[2]+matrix[7];
double z=matrix[8]*pt[0]+matrix[9]*pt[1]+matrix[10]*pt[2]+matrix[11];
double ret=std::numeric_limits<double>::max();
- int nbOfHint=0;
+ std::size_t nbOfHint=0;
if(xy[0]>0. && xy[0]<xy1[0])
- { ret=std::min(ret,sqrt(z*z+xy[1]*xy[1])); nbOfHint++; } //distance pt to edge [pt0Tri3,pt1Tri3]
- double tmp=SquareDistanceFromPtToSegInSpaceDim2(xy,xy1,xy2); //distance pt to edge [pt1Tri3,pt2Tri3]
- if(tmp!=std::numeric_limits<double>::max())
- { ret=std::min(ret,sqrt(z*z+tmp)); nbOfHint++; }
- tmp=SquareDistanceFromPtToSegInSpaceDim2(xy,xy2,xy0);//distance pt to edge [pt2Tri3,pt0Tri3]
- if(tmp!=std::numeric_limits<double>::max())
- { ret=std::min(ret,sqrt(z*z+tmp)); nbOfHint++; }
+ { ret=std::min(ret,z*z+xy[1]*xy[1]); nbOfHint++; } //distance pt to edge [pt0Tri3,pt1Tri3]
+ double tmp=SquareDistanceFromPtToSegInSpaceDim2(xy,xy1,xy2,nbOfHint); //distance pt to edge [pt1Tri3,pt2Tri3]
+ ret=std::min(ret,z*z+tmp);
+ tmp=SquareDistanceFromPtToSegInSpaceDim2(xy,xy2,xy0,nbOfHint);//distance pt to edge [pt2Tri3,pt0Tri3]
+ ret=std::min(ret,z*z+tmp);
if(nbOfHint==3)
- ret=std::min(ret,fabs(z));
- return ret;
+ ret=std::min(ret,z*z);
+ return sqrt(ret);
}
- double DistanceFromPtToPolygonInSpaceDim3(const double *pt, const int *connOfPolygonBg, const int *connOfPolygonEnd, const double *coords) throw(INTERP_KERNEL::Exception)
+ double DistanceFromPtToPolygonInSpaceDim3(const double *pt, const int *connOfPolygonBg, const int *connOfPolygonEnd, const double *coords)
{
std::size_t nbOfEdges=std::distance(connOfPolygonBg,connOfPolygonEnd);
if(nbOfEdges<3)
std::size_t nbOfHint=0;
for(std::size_t i=0;i<nbOfEdges;i++)
{
- double tmp=SquareDistanceFromPtToSegInSpaceDim2(xy,((double *)ptXY)+2*i,((double *)ptXY)+2*((i+1)%nbOfEdges));
- if(tmp!=std::numeric_limits<double>::max())
- { ret=std::min(ret,sqrt(z*z+tmp)); nbOfHint++; }
+ double tmp=SquareDistanceFromPtToSegInSpaceDim2(xy,((double *)ptXY)+2*i,((double *)ptXY)+2*((i+1)%nbOfEdges),nbOfHint);
+ ret=std::min(ret,z*z+tmp);
}
if(nbOfHint==nbOfEdges)
- ret=std::min(ret,fabs(z));
- return ret;
+ ret=std::min(ret,z*z);
+ return sqrt(ret);
}
/*!