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/////////////////////////////////////////////////////////////
// //
// Copyright (c) 2003-2011 by The University of Queensland //
// Earth Systems Science Computational Centre (ESSCC) //
// http://www.uq.edu.au/esscc //
// //
// Primary Business: Brisbane, Queensland, Australia //
// Licensed under the Open Software License version 3.0 //
// http://www.opensource.org/licenses/osl-3.0.php //
// //
/////////////////////////////////////////////////////////////
#include "Geometry/Plane.h"
/*!
Construct plane from pos. and normal vector
\param iPos position
\param iDir normal vector
*/
Plane::Plane(const Vec3& iDir,const Vec3& iPos)
{
Dir = iDir.unit() ;
Pos = iPos ;
Create() ;
}
/*!
Construct plane from pos. and 2 vectors spanning the plane
\param iPos position
\param iU
\param iV
*/
Plane::Plane(const Vec3& iU,const Vec3& iV,const Vec3& iPos)
{
U=iU.unit();
V=iV.unit();
Vec3 Dir2=cross(U,V);
Pos=iPos ;
if ( (U*V) != 0.0 ) {
V=U - ((U*U)/(U*V))*V ;
V=V.unit();
} else {
V = iV.unit();
}
Dir= cross(U,V);
if (Dir*Dir2 <0) {
V *= -1.0 ;
Dir *= -1.0 ;
}
Pos = iPos;
}
/*!
"empty" default constructor
*/
Plane::Plane()
{
U = Vec3(0.0,0.0,0.0) ;
V = Vec3(0.0,0.0,0.0) ;
}
/*!
setup spanning vectors from pos & normal
*/
void Plane::Create()
{
U = Vec3(0.0,0.0,0.0) ;
V = Vec3(0.0,0.0,0.0) ;
Vec3 X ;
X = Vec3(1.0,0.0,0.0) ;
if ((cross(X,Dir)).norm2() == 0.0) X = Vec3(0.0,1.0,0.0) ;
if ((cross(X,Dir)).norm2() == 0.0) X = Vec3(0.0,0.0,1.0) ;
if ((cross(X,Dir)).norm2() != 0.0) {
U = X - ((X*Dir)/(Dir*Dir))*Dir ;
U = U.unit() ;
V = cross(Dir,U) ;
}
}
/*!
distance of a point from the plane
\param M the point
*/
double Plane::sep(const Vec3& M) const
{
return fabs((M-Pos)*Dir);
}
/*!
signed separation according to Direction of the normal
\param M the point
*/
double Plane::dist(const Vec3& M)
{
return (M-Pos)*Dir ;
}
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