public sXYZ DuplicatesXYZ()
{
sXYZ n = new sXYZ(this.X, this.Y, this.Z);
n.objectGUID = this.objectGUID;
return(n);
}
public void ComputeFaceNormal(sMesh m)
{
sLine l0 = new sLine(m.vertices[this.A].location, m.vertices[this.B].location);
sLine l1 = new sLine(m.vertices[this.A].location, m.vertices[this.C].location);
this.normal = sXYZ.CrossProduct(l0.direction, l1.direction);
}
public void SetVertex(int vertexID, sXYZ loc, sColor col)
{
sVertex v = new sVertex(vertexID, loc);
v.color = col;
this.vertices.Add(v);
}
public void SetVertex(int vertexID, sXYZ loc, object dataIn)
{
sVertex v = new sVertex(vertexID, loc);
v.data = dataIn;
this.vertices.Add(v);
}
public double DistanceTo(sXYZ vec)
{
double xx = (double)(this.X - vec.X);
double yy = (double)(this.Y - vec.Y);
double zz = (double)(this.Z - vec.Z);
return(Math.Sqrt(xx * xx + yy * yy + zz * zz));
}
public void ComputeNormal(sMesh m)
{
sXYZ nv = sXYZ.Zero();
foreach (int f in this.faceIndices)
{
nv += m.faces[f].normal;
}
this.normal = nv;
}
public sLine(sXYZ sp, sXYZ ep)
{
this.startPoint = sp;
this.endPoint = ep;
this.length = sp.DistanceTo(ep);
this.direction = ep - sp;
this.direction.Unitize();
this.curveType = eCurveType.LINE;
}
public double GetClosestDistanceTo(sXYZ p, out double t)
{
sXYZ minuteVec = new sXYZ(0.00001, 0, 0);
sLine ln = new sLine(p, p + minuteVec);
double t0;
double t1;
double dis = this.GetClosestDistanceBetween(ln, out t0, out t1);
t = t0;
return(dis);
}
public sPlane(sXYZ ori, sXYZ x, sXYZ y)
{
this.origin = ori;
this.Xaxis = x;
this.Yaxis = y;
this.Zaxis = sXYZ.CrossProduct(x, y);
this.Zaxis *= -1;
this.Xaxis.Unitize();
this.Yaxis.Unitize();
this.Zaxis.Unitize();
}
public static sXYZ Rotate(sXYZ v, sXYZ axis, double angle)
{
sXYZ result = new sXYZ();
double tr = t(angle);
double cos = c(angle);
double sin = s(angle);
result.X = a1(angle, axis, tr, cos) * v.X + a2(angle, axis, tr, sin) * v.Y + a3(angle, axis, tr, sin) * v.Z;
result.Y = b1(angle, axis, tr, sin) * v.X + b2(angle, axis, tr, cos) * v.Y + b3(angle, axis, tr, sin) * v.Z;
result.Z = c1(angle, axis, tr, sin) * v.X + c2(angle, axis, tr, sin) * v.Y + c3(angle, axis, tr, cos) * v.Z;
return(result);
}
public static sXYZ CrossProduct(sXYZ v1, sXYZ v2)
{
v1.Unitize();
v2.Unitize();
double x, y, z;
x = v1.Y * v2.Z - v2.Y * v1.Z;
y = (v1.X * v2.Z - v2.X * v1.Z) * -1;
z = v1.X * v2.Y - v2.X * v1.Y;
var rtnvector = new sXYZ(x, y, z);
rtnvector.Unitize();
return(rtnvector);
}
public sXYZ ProjectTo(sXYZ to)
{
return((this * to) * (to * to) * to);
}
private static double a1(double angle, sXYZ axis, double tr, double cos)
{
return((tr * axis.X * axis.X) + cos);
}
public void SetVertex(int vertexID, sXYZ loc)
{
sVertex v = new sVertex(vertexID, loc);
this.vertices.Add(v);
}
private static double b2(double angle, sXYZ axis, double tr, double cos)
{
return((tr * axis.Y * axis.Y) + cos);
}
public sVertex(int id, sXYZ p)
{
this.ID = id;
this.location = p;
this.faceIndices = new List <int>();
}
public sXYZ PointAtLength(double lengthParam)
{
sXYZ dir = this.direction * lengthParam;
return(dir);
}
public sXYZ PointAt(double normalizedParam)
{
sXYZ dir = this.direction * (this.length * normalizedParam);
return(this.startPoint + dir);
}
private static double c1(double angle, sXYZ axis, double tr, double sin)
{
return((tr * axis.X * axis.Z) - (sin * axis.Y));
}
public double GetClosestDistanceBetween(sLine ln, out double t0, out double t1)
{
sXYZ u = this.endPoint - this.startPoint;
sXYZ v = ln.endPoint - ln.startPoint;
sXYZ w = this.startPoint - ln.startPoint;
double a = u * u; // sXYZ.Dot(u, u);
double b = u * v; // sXYZ.Dot(u, v);
double c = v * v; // sXYZ.Dot(v, v);
double d = u * w; // sXYZ.Dot(u, w);
double e = v * w; // sXYZ.Dot(v, w);
double D = (a * c) - (b * b);
double sc = 0.0;
double sN = 0.0;
double sD = D;
double tc = 0.0;
double tN = 0.0;
double tD = D;
if (D < 0.00001)
{
//parallel
sN = 0.0;
sD = 1.0;
tN = e;
tD = c;
}
else
{
sN = (b * e - c * d);
tN = (a * e - b * d);
if (sN < 0.0)
{
sN = 0.0;
tN = e;
tD = c;
}
else if (sN > sD)
{
sN = sD;
tN = e + b;
tD = c;
}
}
if (tN < 0.0)
{
tN = 0.0;
if (-d < 0.0)
{
sN = 0.0;
}
else if (-d > a)
{
sN = sD;
}
else
{
sN = -d;
sD = a;
}
}
else if (tN > tD)
{
tN = tD;
if ((-d + b) < 0.0)
{
sN = 0;
}
else if ((-d + b) > a)
{
sN = sD;
}
else
{
sN = (-d + b);
sD = a;
}
}
if (Math.Abs(sN) < 0.0001)
{
sc = 0.0;
}
else
{
sc = (sN / sD);
}
if (Math.Abs(tN) < 0.0001)
{
tc = 0.0;
}
else
{
tc = (tN / tD);
}
sXYZ cp = w + (sc * u) - (tc * v);
t0 = sc;
t1 = tc;
return(cp.GetLength());
}
public sXYZ RejectTo(sXYZ to)
{
return(this - ProjectTo(to));
}
private static double c3(double angle, sXYZ axis, double tr, double cos)
{
return((tr * axis.Z * axis.Z) + cos);
}
private static double c2(double angle, sXYZ axis, double tr, double sin)
{
return((tr * axis.Y * axis.Z) + (sin * axis.X));
}