680 lines
21 KiB
C
680 lines
21 KiB
C
|
// Following code from Magic-Software (http://www.magic-software.com/)
|
||
|
|
// A bit modified for Opcode
|
||
|
|
|
||
|
|
static const float gs_fTolerance = 1e-05f;
|
||
|
|
|
||
|
|
static float OPC_PointTriangleSqrDist(const Point& point, const Point& p0, const Point& p1, const Point& p2)
|
||
|
|
{
|
||
|
|
// Hook
|
||
|
|
Point TriEdge0 = p1 - p0;
|
||
|
|
Point TriEdge1 = p2 - p0;
|
||
|
|
|
||
|
|
Point kDiff = p0 - point;
|
||
|
|
float fA00 = TriEdge0.SquareMagnitude();
|
||
|
|
float fA01 = TriEdge0 | TriEdge1;
|
||
|
|
float fA11 = TriEdge1.SquareMagnitude();
|
||
|
|
float fB0 = kDiff | TriEdge0;
|
||
|
|
float fB1 = kDiff | TriEdge1;
|
||
|
|
float fC = kDiff.SquareMagnitude();
|
||
|
|
float fDet = fabsf(fA00*fA11 - fA01*fA01);
|
||
|
|
float fS = fA01*fB1-fA11*fB0;
|
||
|
|
float fT = fA01*fB0-fA00*fB1;
|
||
|
|
float fSqrDist;
|
||
|
|
|
||
|
|
if(fS + fT <= fDet)
|
||
|
|
{
|
||
|
|
if(fS < 0.0f)
|
||
|
|
{
|
||
|
|
if(fT < 0.0f) // region 4
|
||
|
|
{
|
||
|
|
if(fB0 < 0.0f)
|
||
|
|
{
|
||
|
|
if(-fB0 >= fA00) fSqrDist = fA00+2.0f*fB0+fC;
|
||
|
|
else fSqrDist = fB0*(-fB0/fA00)+fC;
|
||
|
|
}
|
||
|
|
else
|
||
|
|
{
|
||
|
|
if(fB1 >= 0.0f) fSqrDist = fC;
|
||
|
|
else if(-fB1 >= fA11) fSqrDist = fA11+2.0f*fB1+fC;
|
||
|
|
else fSqrDist = fB1*(-fB1/fA11)+fC;
|
||
|
|
}
|
||
|
|
}
|
||
|
|
else // region 3
|
||
|
|
{
|
||
|
|
if(fB1 >= 0.0f) fSqrDist = fC;
|
||
|
|
else if(-fB1 >= fA11) fSqrDist = fA11+2.0f*fB1+fC;
|
||
|
|
else fSqrDist = fB1*(-fB1/fA11)+fC;
|
||
|
|
}
|
||
|
|
}
|
||
|
|
else if(fT < 0.0f) // region 5
|
||
|
|
{
|
||
|
|
if(fB0 >= 0.0f) fSqrDist = fC;
|
||
|
|
else if(-fB0 >= fA00) fSqrDist = fA00+2.0f*fB0+fC;
|
||
|
|
else fSqrDist = fB0*(-fB0/fA00)+fC;
|
||
|
|
}
|
||
|
|
else // region 0
|
||
|
|
{
|
||
|
|
// minimum at interior point
|
||
|
|
if(fDet==0.0f)
|
||
|
|
{
|
||
|
|
fSqrDist = MAX_FLOAT;
|
||
|
|
}
|
||
|
|
else
|
||
|
|
{
|
||
|
|
float fInvDet = 1.0f/fDet;
|
||
|
|
fS *= fInvDet;
|
||
|
|
fT *= fInvDet;
|
||
|
|
fSqrDist = fS*(fA00*fS+fA01*fT+2.0f*fB0) + fT*(fA01*fS+fA11*fT+2.0f*fB1)+fC;
|
||
|
|
}
|
||
|
|
}
|
||
|
|
}
|
||
|
|
else
|
||
|
|
{
|
||
|
|
float fTmp0, fTmp1, fNumer, fDenom;
|
||
|
|
|
||
|
|
if(fS < 0.0f) // region 2
|
||
|
|
{
|
||
|
|
fTmp0 = fA01 + fB0;
|
||
|
|
fTmp1 = fA11 + fB1;
|
||
|
|
if(fTmp1 > fTmp0)
|
||
|
|
{
|
||
|
|
fNumer = fTmp1 - fTmp0;
|
||
|
|
fDenom = fA00-2.0f*fA01+fA11;
|
||
|
|
if(fNumer >= fDenom)
|
||
|
|
{
|
||
|
|
fSqrDist = fA00+2.0f*fB0+fC;
|
||
|
|
}
|
||
|
|
else
|
||
|
|
{
|
||
|
|
fS = fNumer/fDenom;
|
||
|
|
fT = 1.0f - fS;
|
||
|
|
fSqrDist = fS*(fA00*fS+fA01*fT+2.0f*fB0) + fT*(fA01*fS+fA11*fT+2.0f*fB1)+fC;
|
||
|
|
}
|
||
|
|
}
|
||
|
|
else
|
||
|
|
{
|
||
|
|
if(fTmp1 <= 0.0f) fSqrDist = fA11+2.0f*fB1+fC;
|
||
|
|
else if(fB1 >= 0.0f) fSqrDist = fC;
|
||
|
|
else fSqrDist = fB1*(-fB1/fA11)+fC;
|
||
|
|
}
|
||
|
|
}
|
||
|
|
else if(fT < 0.0f) // region 6
|
||
|
|
{
|
||
|
|
fTmp0 = fA01 + fB1;
|
||
|
|
fTmp1 = fA00 + fB0;
|
||
|
|
if(fTmp1 > fTmp0)
|
||
|
|
{
|
||
|
|
fNumer = fTmp1 - fTmp0;
|
||
|
|
fDenom = fA00-2.0f*fA01+fA11;
|
||
|
|
if(fNumer >= fDenom)
|
||
|
|
{
|
||
|
|
fSqrDist = fA11+2.0f*fB1+fC;
|
||
|
|
}
|
||
|
|
else
|
||
|
|
{
|
||
|
|
fT = fNumer/fDenom;
|
||
|
|
fS = 1.0f - fT;
|
||
|
|
fSqrDist = fS*(fA00*fS+fA01*fT+2.0f*fB0) + fT*(fA01*fS+fA11*fT+2.0f*fB1)+fC;
|
||
|
|
}
|
||
|
|
}
|
||
|
|
else
|
||
|
|
{
|
||
|
|
if(fTmp1 <= 0.0f) fSqrDist = fA00+2.0f*fB0+fC;
|
||
|
|
else if(fB0 >= 0.0f) fSqrDist = fC;
|
||
|
|
else fSqrDist = fB0*(-fB0/fA00)+fC;
|
||
|
|
}
|
||
|
|
}
|
||
|
|
else // region 1
|
||
|
|
{
|
||
|
|
fNumer = fA11 + fB1 - fA01 - fB0;
|
||
|
|
if(fNumer <= 0.0f)
|
||
|
|
{
|
||
|
|
fSqrDist = fA11+2.0f*fB1+fC;
|
||
|
|
}
|
||
|
|
else
|
||
|
|
{
|
||
|
|
fDenom = fA00-2.0f*fA01+fA11;
|
||
|
|
if(fNumer >= fDenom)
|
||
|
|
{
|
||
|
|
fSqrDist = fA00+2.0f*fB0+fC;
|
||
|
|
}
|
||
|
|
else
|
||
|
|
{
|
||
|
|
fS = fNumer/fDenom;
|
||
|
|
fT = 1.0f - fS;
|
||
|
|
fSqrDist = fS*(fA00*fS+fA01*fT+2.0f*fB0) + fT*(fA01*fS+fA11*fT+2.0f*fB1)+fC;
|
||
|
|
}
|
||
|
|
}
|
||
|
|
}
|
||
|
|
}
|
||
|
|
return fabsf(fSqrDist);
|
||
|
|
}
|
||
|
|
|
||
|
|
static float OPC_SegmentSegmentSqrDist(const Segment& rkSeg0, const Segment& rkSeg1)
|
||
|
|
{
|
||
|
|
// Hook
|
||
|
|
Point rkSeg0Direction = rkSeg0.ComputeDirection();
|
||
|
|
Point rkSeg1Direction = rkSeg1.ComputeDirection();
|
||
|
|
|
||
|
|
Point kDiff = rkSeg0.mP0 - rkSeg1.mP0;
|
||
|
|
float fA00 = rkSeg0Direction.SquareMagnitude();
|
||
|
|
float fA01 = -rkSeg0Direction.Dot(rkSeg1Direction);
|
||
|
|
float fA11 = rkSeg1Direction.SquareMagnitude();
|
||
|
|
float fB0 = kDiff.Dot(rkSeg0Direction);
|
||
|
|
float fC = kDiff.SquareMagnitude();
|
||
|
|
float fDet = fabsf(fA00*fA11-fA01*fA01);
|
||
|
|
|
||
|
|
float fB1, fS, fT, fSqrDist, fTmp;
|
||
|
|
|
||
|
|
if(fDet>=gs_fTolerance)
|
||
|
|
{
|
||
|
|
// line segments are not parallel
|
||
|
|
fB1 = -kDiff.Dot(rkSeg1Direction);
|
||
|
|
fS = fA01*fB1-fA11*fB0;
|
||
|
|
fT = fA01*fB0-fA00*fB1;
|
||
|
|
|
||
|
|
if(fS >= 0.0f)
|
||
|
|
{
|
||
|
|
if(fS <= fDet)
|
||
|
|
{
|
||
|
|
if(fT >= 0.0f)
|
||
|
|
{
|
||
|
|
if(fT <= fDet) // region 0 (interior)
|
||
|
|
{
|
||
|
|
// minimum at two interior points of 3D lines
|
||
|
|
float fInvDet = 1.0f/fDet;
|
||
|
|
fS *= fInvDet;
|
||
|
|
fT *= fInvDet;
|
||
|
|
fSqrDist = fS*(fA00*fS+fA01*fT+2.0f*fB0) + fT*(fA01*fS+fA11*fT+2.0f*fB1)+fC;
|
||
|
|
}
|
||
|
|
else // region 3 (side)
|
||
|
|
{
|
||
|
|
fTmp = fA01+fB0;
|
||
|
|
if(fTmp>=0.0f) fSqrDist = fA11+2.0f*fB1+fC;
|
||
|
|
else if(-fTmp>=fA00) fSqrDist = fA00+fA11+fC+2.0f*(fB1+fTmp);
|
||
|
|
else fSqrDist = fTmp*(-fTmp/fA00)+fA11+2.0f*fB1+fC;
|
||
|
|
}
|
||
|
|
}
|
||
|
|
else // region 7 (side)
|
||
|
|
{
|
||
|
|
if(fB0>=0.0f) fSqrDist = fC;
|
||
|
|
else if(-fB0>=fA00) fSqrDist = fA00+2.0f*fB0+fC;
|
||
|
|
else fSqrDist = fB0*(-fB0/fA00)+fC;
|
||
|
|
}
|
||
|
|
}
|
||
|
|
else
|
||
|
|
{
|
||
|
|
if ( fT >= 0.0 )
|
||
|
|
{
|
||
|
|
if ( fT <= fDet ) // region 1 (side)
|
||
|
|
{
|
||
|
|
fTmp = fA01+fB1;
|
||
|
|
if(fTmp>=0.0f) fSqrDist = fA00+2.0f*fB0+fC;
|
||
|
|
else if(-fTmp>=fA11) fSqrDist = fA00+fA11+fC+2.0f*(fB0+fTmp);
|
||
|
|
else fSqrDist = fTmp*(-fTmp/fA11)+fA00+2.0f*fB0+fC;
|
||
|
|
}
|
||
|
|
else // region 2 (corner)
|
||
|
|
{
|
||
|
|
fTmp = fA01+fB0;
|
||
|
|
if ( -fTmp <= fA00 )
|
||
|
|
{
|
||
|
|
if(fTmp>=0.0f) fSqrDist = fA11+2.0f*fB1+fC;
|
||
|
|
else fSqrDist = fTmp*(-fTmp/fA00)+fA11+2.0f*fB1+fC;
|
||
|
|
}
|
||
|
|
else
|
||
|
|
{
|
||
|
|
fTmp = fA01+fB1;
|
||
|
|
if(fTmp>=0.0f) fSqrDist = fA00+2.0f*fB0+fC;
|
||
|
|
else if(-fTmp>=fA11) fSqrDist = fA00+fA11+fC+2.0f*(fB0+fTmp);
|
||
|
|
else fSqrDist = fTmp*(-fTmp/fA11)+fA00+2.0f*fB0+fC;
|
||
|
|
}
|
||
|
|
}
|
||
|
|
}
|
||
|
|
else // region 8 (corner)
|
||
|
|
{
|
||
|
|
if ( -fB0 < fA00 )
|
||
|
|
{
|
||
|
|
if(fB0>=0.0f) fSqrDist = fC;
|
||
|
|
else fSqrDist = fB0*(-fB0/fA00)+fC;
|
||
|
|
}
|
||
|
|
else
|
||
|
|
{
|
||
|
|
fTmp = fA01+fB1;
|
||
|
|
if(fTmp>=0.0f) fSqrDist = fA00+2.0f*fB0+fC;
|
||
|
|
else if(-fTmp>=fA11) fSqrDist = fA00+fA11+fC+2.0f*(fB0+fTmp);
|
||
|
|
else fSqrDist = fTmp*(-fTmp/fA11)+fA00+2.0f*fB0+fC;
|
||
|
|
}
|
||
|
|
}
|
||
|
|
}
|
||
|
|
}
|
||
|
|
else
|
||
|
|
{
|
||
|
|
if ( fT >= 0.0f )
|
||
|
|
{
|
||
|
|
if ( fT <= fDet ) // region 5 (side)
|
||
|
|
{
|
||
|
|
if(fB1>=0.0f) fSqrDist = fC;
|
||
|
|
else if(-fB1>=fA11) fSqrDist = fA11+2.0f*fB1+fC;
|
||
|
|
else fSqrDist = fB1*(-fB1/fA11)+fC;
|
||
|
|
}
|
||
|
|
else // region 4 (corner)
|
||
|
|
{
|
||
|
|
fTmp = fA01+fB0;
|
||
|
|
if ( fTmp < 0.0f )
|
||
|
|
{
|
||
|
|
if(-fTmp>=fA00) fSqrDist = fA00+fA11+fC+2.0f*(fB1+fTmp);
|
||
|
|
else fSqrDist = fTmp*(-fTmp/fA00)+fA11+2.0f*fB1+fC;
|
||
|
|
}
|
||
|
|
else
|
||
|
|
{
|
||
|
|
if(fB1>=0.0f) fSqrDist = fC;
|
||
|
|
else if(-fB1>=fA11) fSqrDist = fA11+2.0f*fB1+fC;
|
||
|
|
else fSqrDist = fB1*(-fB1/fA11)+fC;
|
||
|
|
}
|
||
|
|
}
|
||
|
|
}
|
||
|
|
else // region 6 (corner)
|
||
|
|
{
|
||
|
|
if ( fB0 < 0.0f )
|
||
|
|
{
|
||
|
|
if(-fB0>=fA00) fSqrDist = fA00+2.0f*fB0+fC;
|
||
|
|
else fSqrDist = fB0*(-fB0/fA00)+fC;
|
||
|
|
}
|
||
|
|
else
|
||
|
|
{
|
||
|
|
if(fB1>=0.0f) fSqrDist = fC;
|
||
|
|
else if(-fB1>=fA11) fSqrDist = fA11+2.0f*fB1+fC;
|
||
|
|
else fSqrDist = fB1*(-fB1/fA11)+fC;
|
||
|
|
}
|
||
|
|
}
|
||
|
|
}
|
||
|
|
}
|
||
|
|
else
|
||
|
|
{
|
||
|
|
// line segments are parallel
|
||
|
|
if ( fA01 > 0.0f )
|
||
|
|
{
|
||
|
|
// direction vectors form an obtuse angle
|
||
|
|
if ( fB0 >= 0.0f )
|
||
|
|
{
|
||
|
|
fSqrDist = fC;
|
||
|
|
}
|
||
|
|
else if ( -fB0 <= fA00 )
|
||
|
|
{
|
||
|
|
fSqrDist = fB0*(-fB0/fA00)+fC;
|
||
|
|
}
|
||
|
|
else
|
||
|
|
{
|
||
|
|
fB1 = -kDiff.Dot(rkSeg1Direction);
|
||
|
|
fTmp = fA00+fB0;
|
||
|
|
if ( -fTmp >= fA01 )
|
||
|
|
{
|
||
|
|
fSqrDist = fA00+fA11+fC+2.0f*(fA01+fB0+fB1);
|
||
|
|
}
|
||
|
|
else
|
||
|
|
{
|
||
|
|
fT = -fTmp/fA01;
|
||
|
|
fSqrDist = fA00+2.0f*fB0+fC+fT*(fA11*fT+2.0f*(fA01+fB1));
|
||
|
|
}
|
||
|
|
}
|
||
|
|
}
|
||
|
|
else
|
||
|
|
{
|
||
|
|
// direction vectors form an acute angle
|
||
|
|
if ( -fB0 >= fA00 )
|
||
|
|
{
|
||
|
|
fSqrDist = fA00+2.0f*fB0+fC;
|
||
|
|
}
|
||
|
|
else if ( fB0 <= 0.0f )
|
||
|
|
{
|
||
|
|
fSqrDist = fB0*(-fB0/fA00)+fC;
|
||
|
|
}
|
||
|
|
else
|
||
|
|
{
|
||
|
|
fB1 = -kDiff.Dot(rkSeg1Direction);
|
||
|
|
if ( fB0 >= -fA01 )
|
||
|
|
{
|
||
|
|
fSqrDist = fA11+2.0f*fB1+fC;
|
||
|
|
}
|
||
|
|
else
|
||
|
|
{
|
||
|
|
fT = -fB0/fA01;
|
||
|
|
fSqrDist = fC+fT*(2.0f*fB1+fA11*fT);
|
||
|
|
}
|
||
|
|
}
|
||
|
|
}
|
||
|
|
}
|
||
|
|
return fabsf(fSqrDist);
|
||
|
|
}
|
||
|
|
|
||
|
|
inline_ float OPC_SegmentRaySqrDist(const Segment& rkSeg0, const Ray& rkSeg1)
|
||
|
|
{
|
||
|
|
return OPC_SegmentSegmentSqrDist(rkSeg0, Segment(rkSeg1.mOrig, rkSeg1.mOrig + rkSeg1.mDir));
|
||
|
|
}
|
||
|
|
|
||
|
|
static float OPC_SegmentTriangleSqrDist(const Segment& segment, const Point& p0, const Point& p1, const Point& p2)
|
||
|
|
{
|
||
|
|
// Hook
|
||
|
|
const Point TriEdge0 = p1 - p0;
|
||
|
|
const Point TriEdge1 = p2 - p0;
|
||
|
|
|
||
|
|
const Point& rkSegOrigin = segment.GetOrigin();
|
||
|
|
Point rkSegDirection = segment.ComputeDirection();
|
||
|
|
|
||
|
|
Point kDiff = p0 - rkSegOrigin;
|
||
|
|
float fA00 = rkSegDirection.SquareMagnitude();
|
||
|
|
float fA01 = -rkSegDirection.Dot(TriEdge0);
|
||
|
|
float fA02 = -rkSegDirection.Dot(TriEdge1);
|
||
|
|
float fA11 = TriEdge0.SquareMagnitude();
|
||
|
|
float fA12 = TriEdge0.Dot(TriEdge1);
|
||
|
|
float fA22 = TriEdge1.Dot(TriEdge1);
|
||
|
|
float fB0 = -kDiff.Dot(rkSegDirection);
|
||
|
|
float fB1 = kDiff.Dot(TriEdge0);
|
||
|
|
float fB2 = kDiff.Dot(TriEdge1);
|
||
|
|
float fCof00 = fA11*fA22-fA12*fA12;
|
||
|
|
float fCof01 = fA02*fA12-fA01*fA22;
|
||
|
|
float fCof02 = fA01*fA12-fA02*fA11;
|
||
|
|
float fDet = fA00*fCof00+fA01*fCof01+fA02*fCof02;
|
||
|
|
|
||
|
|
Ray kTriSeg;
|
||
|
|
Point kPt;
|
||
|
|
float fSqrDist, fSqrDist0;
|
||
|
|
|
||
|
|
if(fabsf(fDet)>=gs_fTolerance)
|
||
|
|
{
|
||
|
|
float fCof11 = fA00*fA22-fA02*fA02;
|
||
|
|
float fCof12 = fA02*fA01-fA00*fA12;
|
||
|
|
float fCof22 = fA00*fA11-fA01*fA01;
|
||
|
|
float fInvDet = 1.0f/fDet;
|
||
|
|
float fRhs0 = -fB0*fInvDet;
|
||
|
|
float fRhs1 = -fB1*fInvDet;
|
||
|
|
float fRhs2 = -fB2*fInvDet;
|
||
|
|
|
||
|
|
float fR = fCof00*fRhs0+fCof01*fRhs1+fCof02*fRhs2;
|
||
|
|
float fS = fCof01*fRhs0+fCof11*fRhs1+fCof12*fRhs2;
|
||
|
|
float fT = fCof02*fRhs0+fCof12*fRhs1+fCof22*fRhs2;
|
||
|
|
|
||
|
|
if ( fR < 0.0f )
|
||
|
|
{
|
||
|
|
if ( fS+fT <= 1.0f )
|
||
|
|
{
|
||
|
|
if ( fS < 0.0f )
|
||
|
|
{
|
||
|
|
if ( fT < 0.0f ) // region 4m
|
||
|
|
{
|
||
|
|
// min on face s=0 or t=0 or r=0
|
||
|
|
kTriSeg.mOrig = p0;
|
||
|
|
kTriSeg.mDir = TriEdge1;
|
||
|
|
fSqrDist = OPC_SegmentRaySqrDist(segment, kTriSeg);
|
||
|
|
kTriSeg.mOrig = p0;
|
||
|
|
kTriSeg.mDir = TriEdge0;
|
||
|
|
fSqrDist0 = OPC_SegmentRaySqrDist(segment, kTriSeg);
|
||
|
|
if(fSqrDist0<fSqrDist) fSqrDist = fSqrDist0;
|
||
|
|
fSqrDist0 = OPC_PointTriangleSqrDist(rkSegOrigin, p0, p1, p2);
|
||
|
|
if(fSqrDist0<fSqrDist) fSqrDist = fSqrDist0;
|
||
|
|
}
|
||
|
|
else // region 3m
|
||
|
|
{
|
||
|
|
// min on face s=0 or r=0
|
||
|
|
kTriSeg.mOrig = p0;
|
||
|
|
kTriSeg.mDir = TriEdge1;
|
||
|
|
fSqrDist = OPC_SegmentRaySqrDist(segment, kTriSeg);
|
||
|
|
fSqrDist0 = OPC_PointTriangleSqrDist(rkSegOrigin, p0, p1, p2);
|
||
|
|
if(fSqrDist0<fSqrDist) fSqrDist = fSqrDist0;
|
||
|
|
}
|
||
|
|
}
|
||
|
|
else if ( fT < 0.0f ) // region 5m
|
||
|
|
{
|
||
|
|
// min on face t=0 or r=0
|
||
|
|
kTriSeg.mOrig = p0;
|
||
|
|
kTriSeg.mDir = TriEdge0;
|
||
|
|
fSqrDist = OPC_SegmentRaySqrDist(segment, kTriSeg);
|
||
|
|
fSqrDist0 = OPC_PointTriangleSqrDist(rkSegOrigin, p0, p1, p2);
|
||
|
|
if(fSqrDist0<fSqrDist) fSqrDist = fSqrDist0;
|
||
|
|
}
|
||
|
|
else // region 0m
|
||
|
|
{
|
||
|
|
// min on face r=0
|
||
|
|
fSqrDist = OPC_PointTriangleSqrDist(rkSegOrigin, p0, p1, p2);
|
||
|
|
}
|
||
|
|
}
|
||
|
|
else
|
||
|
|
{
|
||
|
|
if ( fS < 0.0f ) // region 2m
|
||
|
|
{
|
||
|
|
// min on face s=0 or s+t=1 or r=0
|
||
|
|
kTriSeg.mOrig = p0;
|
||
|
|
kTriSeg.mDir = TriEdge1;
|
||
|
|
fSqrDist = OPC_SegmentRaySqrDist(segment, kTriSeg);
|
||
|
|
kTriSeg.mOrig = p1;
|
||
|
|
kTriSeg.mDir = TriEdge1-TriEdge0;
|
||
|
|
fSqrDist0 = OPC_SegmentRaySqrDist(segment, kTriSeg);
|
||
|
|
if(fSqrDist0<fSqrDist) fSqrDist = fSqrDist0;
|
||
|
|
fSqrDist0 = OPC_PointTriangleSqrDist(rkSegOrigin, p0, p1, p2);
|
||
|
|
if(fSqrDist0<fSqrDist) fSqrDist = fSqrDist0;
|
||
|
|
}
|
||
|
|
else if ( fT < 0.0f ) // region 6m
|
||
|
|
{
|
||
|
|
// min on face t=0 or s+t=1 or r=0
|
||
|
|
kTriSeg.mOrig = p0;
|
||
|
|
kTriSeg.mDir = TriEdge0;
|
||
|
|
fSqrDist = OPC_SegmentRaySqrDist(segment, kTriSeg);
|
||
|
|
kTriSeg.mOrig = p1;
|
||
|
|
kTriSeg.mDir = TriEdge1-TriEdge0;
|
||
|
|
fSqrDist0 = OPC_SegmentRaySqrDist(segment, kTriSeg);
|
||
|
|
if(fSqrDist0<fSqrDist) fSqrDist = fSqrDist0;
|
||
|
|
fSqrDist0 = OPC_PointTriangleSqrDist(rkSegOrigin, p0, p1, p2);
|
||
|
|
if(fSqrDist0<fSqrDist) fSqrDist = fSqrDist0;
|
||
|
|
}
|
||
|
|
else // region 1m
|
||
|
|
{
|
||
|
|
// min on face s+t=1 or r=0
|
||
|
|
kTriSeg.mOrig = p1;
|
||
|
|
kTriSeg.mDir = TriEdge1-TriEdge0;
|
||
|
|
fSqrDist = OPC_SegmentRaySqrDist(segment, kTriSeg);
|
||
|
|
fSqrDist0 = OPC_PointTriangleSqrDist(rkSegOrigin, p0, p1, p2);
|
||
|
|
if(fSqrDist0<fSqrDist) fSqrDist = fSqrDist0;
|
||
|
|
}
|
||
|
|
}
|
||
|
|
}
|
||
|
|
else if ( fR <= 1.0f )
|
||
|
|
{
|
||
|
|
if ( fS+fT <= 1.0f )
|
||
|
|
{
|
||
|
|
if ( fS < 0.0f )
|
||
|
|
{
|
||
|
|
if ( fT < 0.0f ) // region 4
|
||
|
|
{
|
||
|
|
// min on face s=0 or t=0
|
||
|
|
kTriSeg.mOrig = p0;
|
||
|
|
kTriSeg.mDir = TriEdge1;
|
||
|
|
fSqrDist = OPC_SegmentRaySqrDist(segment, kTriSeg);
|
||
|
|
kTriSeg.mOrig = p0;
|
||
|
|
kTriSeg.mDir = TriEdge0;
|
||
|
|
fSqrDist0 = OPC_SegmentRaySqrDist(segment, kTriSeg);
|
||
|
|
if(fSqrDist0<fSqrDist) fSqrDist = fSqrDist0;
|
||
|
|
}
|
||
|
|
else // region 3
|
||
|
|
{
|
||
|
|
// min on face s=0
|
||
|
|
kTriSeg.mOrig = p0;
|
||
|
|
kTriSeg.mDir = TriEdge1;
|
||
|
|
fSqrDist = OPC_SegmentRaySqrDist(segment, kTriSeg);
|
||
|
|
}
|
||
|
|
}
|
||
|
|
else if ( fT < 0.0f ) // region 5
|
||
|
|
{
|
||
|
|
// min on face t=0
|
||
|
|
kTriSeg.mOrig = p0;
|
||
|
|
kTriSeg.mDir = TriEdge0;
|
||
|
|
fSqrDist = OPC_SegmentRaySqrDist(segment, kTriSeg);
|
||
|
|
}
|
||
|
|
else // region 0
|
||
|
|
{
|
||
|
|
// global minimum is interior, done
|
||
|
|
fSqrDist = fR*(fA00*fR+fA01*fS+fA02*fT+2.0f*fB0)
|
||
|
|
+fS*(fA01*fR+fA11*fS+fA12*fT+2.0f*fB1)
|
||
|
|
+fT*(fA02*fR+fA12*fS+fA22*fT+2.0f*fB2)
|
||
|
|
+kDiff.SquareMagnitude();
|
||
|
|
}
|
||
|
|
}
|
||
|
|
else
|
||
|
|
{
|
||
|
|
if ( fS < 0.0f ) // region 2
|
||
|
|
{
|
||
|
|
// min on face s=0 or s+t=1
|
||
|
|
kTriSeg.mOrig = p0;
|
||
|
|
kTriSeg.mDir = TriEdge1;
|
||
|
|
fSqrDist = OPC_SegmentRaySqrDist(segment, kTriSeg);
|
||
|
|
kTriSeg.mOrig = p1;
|
||
|
|
kTriSeg.mDir = TriEdge1-TriEdge0;
|
||
|
|
fSqrDist0 = OPC_SegmentRaySqrDist(segment, kTriSeg);
|
||
|
|
if(fSqrDist0<fSqrDist) fSqrDist = fSqrDist0;
|
||
|
|
}
|
||
|
|
else if ( fT < 0.0f ) // region 6
|
||
|
|
{
|
||
|
|
// min on face t=0 or s+t=1
|
||
|
|
kTriSeg.mOrig = p0;
|
||
|
|
kTriSeg.mDir = TriEdge0;
|
||
|
|
fSqrDist = OPC_SegmentRaySqrDist(segment, kTriSeg);
|
||
|
|
kTriSeg.mOrig = p1;
|
||
|
|
kTriSeg.mDir = TriEdge1-TriEdge0;
|
||
|
|
fSqrDist0 = OPC_SegmentRaySqrDist(segment, kTriSeg);
|
||
|
|
if(fSqrDist0<fSqrDist) fSqrDist = fSqrDist0;
|
||
|
|
}
|
||
|
|
else // region 1
|
||
|
|
{
|
||
|
|
// min on face s+t=1
|
||
|
|
kTriSeg.mOrig = p1;
|
||
|
|
kTriSeg.mDir = TriEdge1-TriEdge0;
|
||
|
|
fSqrDist = OPC_SegmentRaySqrDist(segment, kTriSeg);
|
||
|
|
}
|
||
|
|
}
|
||
|
|
}
|
||
|
|
else // fR > 1
|
||
|
|
{
|
||
|
|
if ( fS+fT <= 1.0f )
|
||
|
|
{
|
||
|
|
if ( fS < 0.0f )
|
||
|
|
{
|
||
|
|
if ( fT < 0.0f ) // region 4p
|
||
|
|
{
|
||
|
|
// min on face s=0 or t=0 or r=1
|
||
|
|
kTriSeg.mOrig = p0;
|
||
|
|
kTriSeg.mDir = TriEdge1;
|
||
|
|
fSqrDist = OPC_SegmentRaySqrDist(segment, kTriSeg);
|
||
|
|
kTriSeg.mOrig = p0;
|
||
|
|
kTriSeg.mDir = TriEdge0;
|
||
|
|
fSqrDist0 = OPC_SegmentRaySqrDist(segment, kTriSeg);
|
||
|
|
if(fSqrDist0<fSqrDist) fSqrDist = fSqrDist0;
|
||
|
|
kPt = rkSegOrigin+rkSegDirection;
|
||
|
|
fSqrDist0 = OPC_PointTriangleSqrDist(kPt, p0, p1, p2);
|
||
|
|
if(fSqrDist0<fSqrDist) fSqrDist = fSqrDist0;
|
||
|
|
}
|
||
|
|
else // region 3p
|
||
|
|
{
|
||
|
|
// min on face s=0 or r=1
|
||
|
|
kTriSeg.mOrig = p0;
|
||
|
|
kTriSeg.mDir = TriEdge1;
|
||
|
|
fSqrDist = OPC_SegmentRaySqrDist(segment, kTriSeg);
|
||
|
|
kPt = rkSegOrigin+rkSegDirection;
|
||
|
|
fSqrDist0 = OPC_PointTriangleSqrDist(kPt, p0, p1, p2);
|
||
|
|
if(fSqrDist0<fSqrDist) fSqrDist = fSqrDist0;
|
||
|
|
}
|
||
|
|
}
|
||
|
|
else if ( fT < 0.0f ) // region 5p
|
||
|
|
{
|
||
|
|
// min on face t=0 or r=1
|
||
|
|
kTriSeg.mOrig = p0;
|
||
|
|
kTriSeg.mDir = TriEdge0;
|
||
|
|
fSqrDist = OPC_SegmentRaySqrDist(segment, kTriSeg);
|
||
|
|
kPt = rkSegOrigin+rkSegDirection;
|
||
|
|
fSqrDist0 = OPC_PointTriangleSqrDist(kPt, p0, p1, p2);
|
||
|
|
if(fSqrDist0<fSqrDist) fSqrDist = fSqrDist0;
|
||
|
|
}
|
||
|
|
else // region 0p
|
||
|
|
{
|
||
|
|
// min face on r=1
|
||
|
|
kPt = rkSegOrigin+rkSegDirection;
|
||
|
|
fSqrDist = OPC_PointTriangleSqrDist(kPt, p0, p1, p2);
|
||
|
|
}
|
||
|
|
}
|
||
|
|
else
|
||
|
|
{
|
||
|
|
if ( fS < 0.0f ) // region 2p
|
||
|
|
{
|
||
|
|
// min on face s=0 or s+t=1 or r=1
|
||
|
|
kTriSeg.mOrig = p0;
|
||
|
|
kTriSeg.mDir = TriEdge1;
|
||
|
|
fSqrDist = OPC_SegmentRaySqrDist(segment, kTriSeg);
|
||
|
|
kTriSeg.mOrig = p1;
|
||
|
|
kTriSeg.mDir = TriEdge1-TriEdge0;
|
||
|
|
fSqrDist0 = OPC_SegmentRaySqrDist(segment, kTriSeg);
|
||
|
|
if(fSqrDist0<fSqrDist) fSqrDist = fSqrDist0;
|
||
|
|
kPt = rkSegOrigin+rkSegDirection;
|
||
|
|
fSqrDist0 = OPC_PointTriangleSqrDist(kPt, p0, p1, p2);
|
||
|
|
if(fSqrDist0<fSqrDist) fSqrDist = fSqrDist0;
|
||
|
|
}
|
||
|
|
else if ( fT < 0.0f ) // region 6p
|
||
|
|
{
|
||
|
|
// min on face t=0 or s+t=1 or r=1
|
||
|
|
kTriSeg.mOrig = p0;
|
||
|
|
kTriSeg.mDir = TriEdge0;
|
||
|
|
fSqrDist = OPC_SegmentRaySqrDist(segment, kTriSeg);
|
||
|
|
kTriSeg.mOrig = p1;
|
||
|
|
kTriSeg.mDir = TriEdge1-TriEdge0;
|
||
|
|
fSqrDist0 = OPC_SegmentRaySqrDist(segment, kTriSeg);
|
||
|
|
if(fSqrDist0<fSqrDist) fSqrDist = fSqrDist0;
|
||
|
|
kPt = rkSegOrigin+rkSegDirection;
|
||
|
|
fSqrDist0 = OPC_PointTriangleSqrDist(kPt, p0, p1, p2);
|
||
|
|
if(fSqrDist0<fSqrDist) fSqrDist = fSqrDist0;
|
||
|
|
}
|
||
|
|
else // region 1p
|
||
|
|
{
|
||
|
|
// min on face s+t=1 or r=1
|
||
|
|
kTriSeg.mOrig = p1;
|
||
|
|
kTriSeg.mDir = TriEdge1-TriEdge0;
|
||
|
|
fSqrDist = OPC_SegmentRaySqrDist(segment, kTriSeg);
|
||
|
|
kPt = rkSegOrigin+rkSegDirection;
|
||
|
|
fSqrDist0 = OPC_PointTriangleSqrDist(kPt, p0, p1, p2);
|
||
|
|
if(fSqrDist0<fSqrDist) fSqrDist = fSqrDist0;
|
||
|
|
}
|
||
|
|
}
|
||
|
|
}
|
||
|
|
}
|
||
|
|
else
|
||
|
|
{
|
||
|
|
// segment and triangle are parallel
|
||
|
|
kTriSeg.mOrig = p0;
|
||
|
|
kTriSeg.mDir = TriEdge0;
|
||
|
|
fSqrDist = OPC_SegmentRaySqrDist(segment, kTriSeg);
|
||
|
|
|
||
|
|
kTriSeg.mDir = TriEdge1;
|
||
|
|
fSqrDist0 = OPC_SegmentRaySqrDist(segment, kTriSeg);
|
||
|
|
if(fSqrDist0<fSqrDist) fSqrDist = fSqrDist0;
|
||
|
|
|
||
|
|
kTriSeg.mOrig = p1;
|
||
|
|
kTriSeg.mDir = TriEdge1 - TriEdge0;
|
||
|
|
fSqrDist0 = OPC_SegmentRaySqrDist(segment, kTriSeg);
|
||
|
|
if(fSqrDist0<fSqrDist) fSqrDist = fSqrDist0;
|
||
|
|
|
||
|
|
fSqrDist0 = OPC_PointTriangleSqrDist(rkSegOrigin, p0, p1, p2);
|
||
|
|
if(fSqrDist0<fSqrDist) fSqrDist = fSqrDist0;
|
||
|
|
|
||
|
|
kPt = rkSegOrigin+rkSegDirection;
|
||
|
|
fSqrDist0 = OPC_PointTriangleSqrDist(kPt, p0, p1, p2);
|
||
|
|
if(fSqrDist0<fSqrDist) fSqrDist = fSqrDist0;
|
||
|
|
}
|
||
|
|
return fabsf(fSqrDist);
|
||
|
|
}
|
||
|
|
|
||
|
|
inline_ BOOL LSSCollider::LSSTriOverlap(const Point& vert0, const Point& vert1, const Point& vert2)
|
||
|
|
{
|
||
|
|
// Stats
|
||
|
|
mNbVolumePrimTests++;
|
||
|
|
|
||
|
|
float s2 = OPC_SegmentTriangleSqrDist(mSeg, vert0, vert1, vert2);
|
||
|
|
if(s2<mRadius2) return TRUE;
|
||
|
|
return FALSE;
|
||
|
|
}
|