/// push cutter with given normal/center/xy_length into contact with Triangle facet
// general purpose facetPush
//C++ TO C# CONVERTER WARNING: 'const' methods are not available in C#:
//ORIGINAL LINE: bool generalFacetPush(double normal_length, double center_height, double xy_normal_length, const Fiber& fib, Interval& i, const Triangle& t) const
protected bool generalFacetPush(double normal_length, double center_height, double xy_normal_length, Fiber fib, Interval i, Triangle t)
{
bool result = false;
Point normal = t.upNormal(); // facet surface normal, pointing up
if (normal.zParallel()) // normal points in z-dir
{
return(result); //can't push against horizontal plane, stop here.
}
normal.normalize();
Point xy_normal = new Point(normal);
xy_normal.z = 0;
xy_normal.xyNormalize();
// find a point on the plane from which radius2*normal+radius1*xy_normal lands on the fiber+radius2*Point(0,0,1)
// (u,v) locates a point on the triangle facet v0+ u*(v1-v0)+v*(v2-v0) u,v in [0,1]
// t locates a point along the fiber: p1 + t*(p2-p1) t in [0,1]
//
// facet-point + r2 * n + r1* xy_n = fiber-point + r2*Point(0,0,1)
// =>
// v0+ u*(v1-v0)+v*(v2-v0) + r2 * n + r1* xy_n = p1 + t*(p2-p1) + r2*Point(0,0,1)
//
// v0x + u*(v1x-v0x) + v*(v2x-v0x) + r2*nx + r1*xy_n.x = p1x + t*(p2x-p1x) p2x-p1x==0 for Y-fiber
// v0y + u*(v1y-v0y) + v*(v2y-v0y) + r2*ny + r1*xy_n.y = p1y + t*(p2y-p1y) p2y-p1y==0 for X-fiber
// v0z + u*(v1z-v0z) + v*(v2z-v0z) + r2*nz = p1z + t*(p2z-p1z) + r2 (p2z-p1z)==0 for XY-fibers!!
// X-fiber:
// v0x + u*(v1x-v0x) + v*(v2x-v0x) + r2*nx + r1*xy_n.x = p1x + t*(p2x-p1x)
// v0y + u*(v1y-v0y) + v*(v2y-v0y) + r2*ny + r1*xy_n.y = p1y solve these two for (u,v)
// v0z + u*(v1z-v0z) + v*(v2z-v0z) + r2*nz = p1z + r2 and substitute above for t
// or
// [ (v1y-v0y) (v2y-v0y) ] [ u ] = [ -v0y - r2*ny - r1*xy_n.y + p1y ]
// [ (v1z-v0z) (v2z-v0z) ] [ v ] = [ -v0z - r2*nz + p1z + r2 ]
//
// Y-fiber:
// [ (v1x-v0x) (v2x-v0x) ] [ u ] = [ -v0x - r2*nx - r1*xy_n.x + p1x ]
double a;
double b;
double c = t.p[1].z - t.p[0].z;
double d = t.p[2].z - t.p[0].z;
double e;
double f = -t.p[0].z - normal_length * normal.z + fib.p1.z + center_height;
// note: the xy_normal does not have a z-component, so omitted here.
double u = 0; // u and v are coordinates of the cc-point within the triangle facet
double v = 0;
// a,b,e depend on the fiber:
if (fib.p1.y == fib.p2.y)
{ // XFIBER
a = t.p[1].y - t.p[0].y;
b = t.p[2].y - t.p[0].y;
e = -t.p[0].y - normal_length * normal.y - xy_normal_length * xy_normal.y + fib.p1.y;
if (!GlobalMembers.two_by_two_solver(a, b, c, d, e, f, ref u, ref v))
{
return(result);
}
CCPoint cc = new CCPoint(t.p[0] + u * (t.p[1] - t.p[0]) + v * (t.p[2] - t.p[0]));
cc.type = CCType.FACET;
if (!cc.isInside(t))
{
return(result);
}
// v0x + u*(v1x-v0x) + v*(v2x-v0x) + r2*nx + r1*xy_n.x = p1x + t*(p2x-p1x)
// =>
// t = 1/(p2x-p1x) * ( v0x + r2*nx + r1*xy_n.x - p1x + u*(v1x-v0x) + v*(v2x-v0x) )
Debug.Assert(!GlobalMembers.isZero_tol(fib.p2.x - fib.p1.x)); // guard against division by zero
double tval = (1.0 / (fib.p2.x - fib.p1.x)) * (t.p[0].x + normal_length * normal.x + xy_normal_length * xy_normal.x - fib.p1.x + u * (t.p[1].x - t.p[0].x) + v * (t.p[2].x - t.p[0].x));
if (tval < 0.0 || tval > 1.0)
{
Console.Write("MillingCutter::facetPush() tval= ");
Console.Write(tval);
Console.Write(" error!?\n");
//std::cout << " cutter: " << *this << "\n";
Console.Write(" triangle: ");
Console.Write(t);
Console.Write("\n");
Console.Write(" fiber: ");
Console.Write(fib);
Console.Write("\n");
}
Debug.Assert(tval > 0.0 && tval < 1.0);
i.update(tval, cc);
result = true;
}
else if (fib.p1.x == fib.p2.x)
{ // YFIBER
a = t.p[1].x - t.p[0].x;
b = t.p[2].x - t.p[0].x;
e = -t.p[0].x - normal_length * normal.x - xy_normal_length * xy_normal.x + fib.p1.x;
if (!GlobalMembers.two_by_two_solver(a, b, c, d, e, f, ref u, ref v))
{
return(result);
}
CCPoint cc = new CCPoint(t.p[0] + u * (t.p[1] - t.p[0]) + v * (t.p[2] - t.p[0]));
cc.type = CCType.FACET;
if (!cc.isInside(t))
{
return(result);
}
Debug.Assert(!GlobalMembers.isZero_tol(fib.p2.y - fib.p1.y));
double tval = (1.0 / (fib.p2.y - fib.p1.y)) * (t.p[0].y + normal_length * normal.y + xy_normal_length * xy_normal.y - fib.p1.y + u * (t.p[1].y - t.p[0].y) + v * (t.p[2].y - t.p[0].y));
if (tval < 0.0 || tval > 1.0)
{
Console.Write("MillingCutter::facetPush() tval= ");
Console.Write(tval);
Console.Write(" error!?\n");
Console.Write(" (most probably a user error, the fiber is too short compared to the STL model?)\n");
}
Debug.Assert(tval > 0.0 && tval < 1.0);
i.update(tval, cc);
result = true;
}
else
{
Debug.Assert(false);
}
return(result);
}