public static bool isinside(Geo.Tri t, Geo.Point p)
{
// point in triangle test
// a new Tri projected onto the xy plane:
Geo.Point p1 = new Geo.Point(t.p[0].x, t.p[0].y, 0);
Geo.Point p2 = new Geo.Point(t.p[1].x, t.p[1].y, 0);
Geo.Point p3 = new Geo.Point(t.p[2].x, t.p[2].y, 0);
Geo.Point pt = new Geo.Point(p.x, p.y, 0);
bool b1 = isright(p1, p2, pt);
bool b2 = isright(p3, p1, pt);
bool b3 = isright(p2, p3, pt);
if ((b1) && (b2) && (b3))
{
return true;
}
else if ((!b1) && (!b2) && (!b3))
{
return true;
}
else
{
return false;
}
} // end isinside()
// test for bounding box function
public static void bbox_test(GLWindow g)
{
// draw a triangle
Geo.Point p1 = new Geo.Point(0.1, 0.1, 0);
Geo.Point p2 = new Geo.Point(0.8, 0.3, 0);
Geo.Point p3 = new Geo.Point(0.2, 0.6, 0);
GeoLine l1 = new GeoLine(p1, p2);
GeoLine l2 = new GeoLine(p1, p3);
GeoLine l3 = new GeoLine(p3, p2);
l1.color = System.Drawing.Color.RoyalBlue;
l2.color = System.Drawing.Color.RoyalBlue;
l3.color = System.Drawing.Color.RoyalBlue;
g.addGeom(l1);
g.addGeom(l2);
g.addGeom(l3);
// create triangle and calculate bounding box
Geo.Tri t = new Geo.Tri(p1, p2, p3);
t.calc_bbox();
Geo.Point a = new Geo.Point(t.bb.minx, t.bb.miny, 0);
Geo.Point b = new Geo.Point(t.bb.maxx, t.bb.miny, 0);
Geo.Point c = new Geo.Point(t.bb.maxx, t.bb.maxy, 0);
Geo.Point d = new Geo.Point(t.bb.minx, t.bb.maxy, 0);
GeoLine h1 = new GeoLine(a, b);
GeoLine h2 = new GeoLine(b, c);
GeoLine h3 = new GeoLine(c, d);
GeoLine h4 = new GeoLine(d, a);
h1.color = System.Drawing.Color.Red;
h2.color = System.Drawing.Color.Red;
h3.color = System.Drawing.Color.Red;
h4.color = System.Drawing.Color.Red;
g.addGeom(h1);
g.addGeom(h2);
g.addGeom(h3);
g.addGeom(h4);
// check that the points are OK
GeoPoint v1 = new GeoPoint(t.bb.minx, t.bb.miny, 0);
v1.color = System.Drawing.Color.Green;
g.addGeom(v1);
GeoPoint v2 = new GeoPoint(t.bb.maxx, t.bb.maxy, 0);
v2.color = System.Drawing.Color.Azure;
g.addGeom(v2);
}
// testing that the isinside function works OK
public static void isinside_test(GLWindow g)
{
Random r = new Random();
// generate lots of random points
int N = 100;
List <GeoPoint> points = new List <GeoPoint>();
for (int n = 0; n < N; n++)
{
GeoPoint p = new GeoPoint(0.001 * (float)r.Next(0, 1000), 0.001 * (float)r.Next(0, 1000), 0);
points.Add(p);
}
// draw a triangle
Geo.Point p1 = new Geo.Point(0.1, 0.1, 0);
Geo.Point p2 = new Geo.Point(0.8, 0.1, 0);
Geo.Point p3 = new Geo.Point(0.2, 0.6, 0);
GeoLine l1 = new GeoLine(p1, p2);
GeoLine l2 = new GeoLine(p1, p3);
GeoLine l3 = new GeoLine(p3, p2);
l1.color = System.Drawing.Color.RoyalBlue;
l2.color = System.Drawing.Color.RoyalBlue;
l3.color = System.Drawing.Color.RoyalBlue;
g.addGeom(l1);
g.addGeom(l2);
g.addGeom(l3);
// p.color = System.Drawing.Color.Aqua;
// draw points
Geo.Tri t = new Geo.Tri(p2, p3, p1);
foreach (GeoPoint p in points)
{
if (DropCutter.isinside(t, p.p))
{
p.color = System.Drawing.Color.Aqua;
}
else
{
p.color = System.Drawing.Color.Red;
}
g.addGeom(p);
}
}
// test for bounding box function
public static void bbox_test(GLWindow g)
{
// draw a triangle
Geo.Point p1 = new Geo.Point(0.1, 0.1, 0);
Geo.Point p2 = new Geo.Point(0.8, 0.3, 0);
Geo.Point p3 = new Geo.Point(0.2, 0.6, 0);
GeoLine l1 = new GeoLine(p1, p2);
GeoLine l2 = new GeoLine(p1, p3);
GeoLine l3 = new GeoLine(p3, p2);
l1.color = System.Drawing.Color.RoyalBlue;
l2.color = System.Drawing.Color.RoyalBlue;
l3.color = System.Drawing.Color.RoyalBlue;
g.addGeom(l1);
g.addGeom(l2);
g.addGeom(l3);
// create triangle and calculate bounding box
Geo.Tri t = new Geo.Tri(p1, p2, p3);
t.calc_bbox();
Geo.Point a = new Geo.Point(t.bb.minx, t.bb.miny, 0);
Geo.Point b = new Geo.Point(t.bb.maxx, t.bb.miny, 0);
Geo.Point c = new Geo.Point(t.bb.maxx, t.bb.maxy, 0);
Geo.Point d = new Geo.Point(t.bb.minx, t.bb.maxy, 0);
GeoLine h1 = new GeoLine(a, b);
GeoLine h2 = new GeoLine(b, c);
GeoLine h3 = new GeoLine(c, d);
GeoLine h4 = new GeoLine(d, a);
h1.color = System.Drawing.Color.Red;
h2.color = System.Drawing.Color.Red;
h3.color = System.Drawing.Color.Red;
h4.color = System.Drawing.Color.Red;
g.addGeom(h1);
g.addGeom(h2);
g.addGeom(h3);
g.addGeom(h4);
// check that the points are OK
GeoPoint v1 = new GeoPoint(t.bb.minx, t.bb.miny, 0);
v1.color = System.Drawing.Color.Green;
g.addGeom(v1);
GeoPoint v2 = new GeoPoint(t.bb.maxx, t.bb.maxy, 0);
v2.color = System.Drawing.Color.Azure;
g.addGeom(v2);
}
static public STLSurf Load(System.IO.StreamReader fs)
{
// Here's where autodetection will be provided for loading binary stl files and by wrapping STLA(scii) and STLB(inary)
// but for now as only one format is provided, not bothering with it, we need to define a object format for handling file loading/saving
// System.IO.StreamReader fs = new System.IO.StreamReader(FileName);
STLSurf surf = new STLSurf();
int state = 0;
int counter = 0;
string[] data;
Geo.Tri triangle = new Geo.Tri();
Vector normal = new Vector();
System.Globalization.CultureInfo locale = new System.Globalization.CultureInfo("en-GB");
int n_triangles = 0;
while (!fs.EndOfStream)
{
data = fs.ReadLine().TrimStart(' ').Split(' ');
switch (state)
{
case 0:
if (data[0].Equals("solid"))
{
surf.name = data[1];
state = 1; // continue readingx
}
break;
case 1:
if (data[0].Equals("facet"))
{
normal.x = double.Parse(data[2], locale);
normal.y = double.Parse(data[3], locale);
normal.z = double.Parse(data[4], locale);
triangle = new Geo.Tri(normal);
counter = 0;
state = 2;
}
break;
case 2:
if (data[0].Equals("vertex"))
{
if (counter <= 2)
{
triangle.p[counter].x = double.Parse(data[1], locale);
triangle.p[counter].y = double.Parse(data[2], locale);
triangle.p[counter].z = double.Parse(data[3], locale);
// System.Console.WriteLine("STLReader: added point" + triangle.p[counter]);
// System.Console.ReadKey();
counter++;
}
}
else if (data[0].Equals("endfacet"))
{
if (counter == 3)
{
surf.AddTriangle(triangle);
n_triangles += 1;
}
state = 1;
}
break;
}
}
fs.Close();
System.Console.WriteLine("STLReader: read {0} triangles!", n_triangles);
return(surf);
}
// testing that the isinside function works OK
public static void isinside_test(GLWindow g)
{
Random r = new Random();
// generate lots of random points
int N = 100;
List<GeoPoint> points = new List<GeoPoint>();
for (int n = 0; n < N; n++)
{
GeoPoint p = new GeoPoint(0.001 * (float)r.Next(0, 1000), 0.001 * (float)r.Next(0, 1000), 0);
points.Add(p);
}
// draw a triangle
Geo.Point p1 = new Geo.Point(0.1, 0.1, 0);
Geo.Point p2 = new Geo.Point(0.8, 0.1, 0);
Geo.Point p3 = new Geo.Point(0.2, 0.6, 0);
GeoLine l1 = new GeoLine(p1, p2);
GeoLine l2 = new GeoLine(p1, p3);
GeoLine l3 = new GeoLine(p3, p2);
l1.color = System.Drawing.Color.RoyalBlue;
l2.color = System.Drawing.Color.RoyalBlue;
l3.color = System.Drawing.Color.RoyalBlue;
g.addGeom(l1);
g.addGeom(l2);
g.addGeom(l3);
// p.color = System.Drawing.Color.Aqua;
// draw points
Geo.Tri t = new Geo.Tri(p2, p3, p1);
foreach (GeoPoint p in points)
{
if (DropCutter.isinside(t,p.p))
p.color = System.Drawing.Color.Aqua;
else
p.color = System.Drawing.Color.Red;
g.addGeom(p);
}
}
} // end VertexTest
public static double? FacetTest(Cutter cu, Geo.Point e, Geo.Tri t)
{
// local copy of the surface normal
t.recalc_normals(); // don't trust the pre-calculated normal! calculate it separately here.
Vector n = new Vector(t.n.x, t.n.y, t.n.z);
Geo.Point cc;
if (n.z == 0)
{
// vertical plane, can't touch cutter against that!
return null;
}
else if (n.z < 0)
{
// flip the normal so it points up (? is this always required?)
n = -1*n;
}
// define plane containing facet
double a = n.x;
double b = n.y;
double c = n.z;
double d = - n.x * t.p[0].x - n.y * t.p[0].y - n.z * t.p[0].z;
// the z-direction normal is a special case (?required?)
// in debug phase, see if this is a useful case!
if ((a == 0) && (b == 0))
{
// System.Console.WriteLine("facet-test:z-dir normal case!");
e.z = t.p[0].z;
cc = new Geo.Point(e.x,e.y,e.z);
if (isinside(t, cc))
{
// System.Console.WriteLine("facet-test:z-dir normal case!, returning {0}",e.z);
// System.Console.ReadKey();
return e.z;
}
else
return null;
}
// System.Console.WriteLine("facet-test:general case!");
// facet test general case
// uses trigonometry, so might be too slow?
// flat endmill and ballnose should be simple to do without trig
// toroidal case might require offset-ellipse idea?
/*
theta = asin(c);
zf= -d/c - (a*xe+b*ye)/c+ (R-r)/tan(theta) + r/sin(theta) -r;
e=[xe ye zf];
u=[0 0 1];
rc=e + ((R-r)*tan(theta)+r)*u - ((R-r)/cos(theta) + r)*n;
t=isinside(p1,p2,p3,rc);
*/
double theta = Math.Asin(c);
double zf = -d/c - (a*e.x+b*e.y)/c + (cu.R-cu.r)/Math.Tan(theta) + cu.r/Math.Sin(theta) - cu.r;
Vector ve = new Vector(e.x,e.y,zf);
Vector u = new Vector(0,0,1);
Vector rc = new Vector();
rc = ve +((cu.R-cu.r)*Math.Tan(theta)+cu.r)*u - ((cu.R-cu.r)/Math.Cos(theta)+cu.r)*n;
/*
if (rc.z > 1000)
System.Console.WriteLine("z>1000 !");
*/
cc = new Geo.Point(rc.x, rc.y, rc.z);
// check that CC lies in plane:
// a*rc(1)+b*rc(2)+c*rc(3)+d
double test = a * cc.x + b * cc.y + c * cc.z + d;
if (test > 0.000001)
System.Console.WriteLine("FacetTest ERROR! CC point not in plane");
if (isinside(t, cc))
{
if (Math.Abs(zf) > 100)
{
System.Console.WriteLine("serious problem... at" +e.x + "," + e.y);
}
return zf;
}
else
return null;
} // end FacetTest
public static STLSurf Load(System.IO.StreamReader fs)
{
// Here's where autodetection will be provided for loading binary stl files and by wrapping STLA(scii) and STLB(inary)
// but for now as only one format is provided, not bothering with it, we need to define a object format for handling file loading/saving
// System.IO.StreamReader fs = new System.IO.StreamReader(FileName);
STLSurf surf = new STLSurf();
int state = 0;
int counter = 0;
string[] data;
Geo.Tri triangle = new Geo.Tri();
Vector normal = new Vector();
System.Globalization.CultureInfo locale = new System.Globalization.CultureInfo("en-GB");
int n_triangles=0;
while ( !fs.EndOfStream ) {
data = fs.ReadLine().TrimStart(' ').Split(' ');
switch (state)
{
case 0:
if (data[0].Equals("solid"))
{
surf.name = data[1];
state = 1; // continue readingx
}
break;
case 1:
if (data[0].Equals("facet")) {
normal.x = double.Parse(data[2], locale);
normal.y = double.Parse(data[3], locale);
normal.z = double.Parse(data[4], locale);
triangle = new Geo.Tri(normal);
counter = 0;
state = 2;
}
break;
case 2:
if (data[0].Equals("vertex"))
{
if ( counter <= 2 ) {
triangle.p[counter].x = double.Parse(data[1], locale);
triangle.p[counter].y = double.Parse(data[2], locale);
triangle.p[counter].z = double.Parse(data[3], locale);
// System.Console.WriteLine("STLReader: added point" + triangle.p[counter]);
// System.Console.ReadKey();
counter++;
}
} else if (data[0].Equals("endfacet"))
{
if (counter == 3)
{
surf.AddTriangle(triangle);
n_triangles += 1;
}
state = 1;
}
break;
}
}
fs.Close();
System.Console.WriteLine("STLReader: read {0} triangles!",n_triangles);
return (surf);
}