public static CutResult Run(
GameObject target,
CuttingTemplate template
)
{
Mesh mesh = target.GetComponent <MeshFilter>().mesh;
MeshPart pos = new MeshPart(true), neg = new MeshPart(false);
RingGenerator intersection_ring = new RingGenerator();
Vector3[] vertices = mesh.vertices;
Vector3[] normals = mesh.normals;
int[] triangles = mesh.triangles;
bool addNormals = normals.Length > 0;
// Debug.Log(vertices.Length + " verts, " + triangles.Length / 3 + " tris, " + template.points.Count + "tpl. points");
// divide mesh in half by vertices
int i = 0;
foreach (Vector3 vertex in vertices)
{
if (template.IsAbove(vertex))
{
pos.indexMap.Add(i, pos.vertices.Count);
pos.vertices.Add(vertex);
if (addNormals)
{
pos.normals.Add(normals[i]);
}
}
else
{
neg.indexMap.Add(i, neg.vertices.Count);
neg.vertices.Add(vertex);
if (addNormals)
{
neg.normals.Add(normals[i]);
}
}
i++;
}
// RingGen's are associated to first template point
// these define the rings used for generating strip-wise inner geometry
// SortedDictionary are for connecting edges of strip-wise inner geometry
// Sorted by signed distance to template plane, so they get connected in the right order
Dictionary <Vector3, Tuple <SortedDictionary <float, Vector3>, RingGen> > point_data = new Dictionary <Vector3, Tuple <SortedDictionary <float, Vector3>, RingGen> >();
foreach (Vector3 point in template.points)
{
point_data.Add(point, new Tuple <SortedDictionary <float, Vector3>, RingGen>(new SortedDictionary <float, Vector3>(), new RingGen()));
}
IvSaver ivSaver = new IvSaver();
// put triangles in correct mesh
for (i = 0; i < triangles.Length; i += 3)
{
// find orignal indices
int i_a = triangles[i],
i_b = triangles[i + 1],
i_c = triangles[i + 2];
// find original verticies
Vector3 a = vertices[i_a],
b = vertices[i_b],
c = vertices[i_c];
// seperation check
if (!ProcessTriangle(template, a, b, c, point_data, pos, neg, intersection_ring, ivSaver, addNormals))
{
if (template.IsAbove(a))
{
// triangle above plane
pos.indices.Add(pos.indexMap[i_a]);
pos.indices.Add(pos.indexMap[i_b]);
pos.indices.Add(pos.indexMap[i_c]);
}
else
{
// triangle below plane
neg.indices.Add(neg.indexMap[i_a]);
neg.indices.Add(neg.indexMap[i_b]);
neg.indices.Add(neg.indexMap[i_c]);
}
}
}
// Generate strip (inner) geometry
SortedDictionary <float, Vector3> next_dist_map = point_data[template.points[template.isClosed ? 0 : template.points.Count - 1]].Item1;
Vector3 next_point = template.isClosed ? template.points.First() : template.points.Last();
for (i = template.points.Count - (template.isClosed ? 1 : 2); i >= 0; i--)
{
SortedDictionary <float, Vector3> dist_map = point_data[template.points[i]].Item1;
Vector3 point = template.points[i];
//Debugging.LogLine(template.points[i-1],template.normal);
//Debugging.LogLine(template.points[i],template.normal);
//Debugging.LogList(point_data[template.points[i-1]].Item1.Keys);
//Debugging.LogList(point_data[template.points[i]].Item1.Keys);
RingGen rg = point_data[template.points[i]].Item2;
// Debug.Log("points: "+point+" -> "+next_point);
//rg.MyDebugLog();
rg.TemplateJoin(template, dist_map);
rg.TemplateJoin(template, next_dist_map);
//rg.MyDebugLog();
foreach (Ring ring in rg.GetRings(false, false))
{
//Debugging.DebugRing(ring.verts);
Vector3 normal = Vector3.Cross(template.normal, next_point - point);
GenerateRingMesh(ring.verts, pos, normal, true, null, addNormals);
//TmpGen(ring.verts,pos,normal);
GenerateRingMesh(ring.verts, neg, normal, false, null, addNormals);
//TmpGen(ring.verts,neg,normal,true);
}
// Debug.Log("---------------------------");
next_dist_map = dist_map;
next_point = point;
}
// Debug.Log("template: "+template);
return(new CutResult(target, Vector3.zero, intersection_ring.GetRings(false, false), pos, neg));
}
private static bool ProcessTriangle(
CuttingTemplate template,
Vector3 a, Vector3 b, Vector3 c,
Dictionary <Vector3, Tuple <SortedDictionary <float, Vector3>, RingGen> > point_data,
MeshPart pos, MeshPart neg,
RingGenerator intersection_ring,
IvSaver ivSaver,
bool addNormals
)
{
List <Vector3> points = template.points;
Vector3 normal = template.normal;
RingGenerator tri_rings = new RingGenerator();
Vector3 tri_nor = -Vector3.Cross(c - a, c - b).normalized;
if (tri_nor == Vector3.zero)
{
// Debug.LogWarning("zero area tri");
return(true);
}
bool partToUse = Vector3.Dot(tri_nor, normal) > 0;
bool ring_dir = partToUse;
MUPlane tri_plane = new MUPlane(tri_nor, a);
Vector3 ab_nor = Vector3.Cross(tri_nor, (b - a).normalized), // vector perpendicular to edge and pointing away from triangle
bc_nor = Vector3.Cross(tri_nor, (c - b).normalized),
ca_nor = Vector3.Cross(tri_nor, (a - c).normalized);
#if EPSILON_TEST
if (Math.Abs(Vector3.Dot(tri_nor, normal)) < 0.01f)
{
Debug.LogWarning("epsilon ignore");
return(false);
}
#endif
// Debug.Log("tri verts: "+a+" "+b+" "+c);
// Debug.Log((b-a).magnitude+" "+(c-b).magnitude+" "+(a-c).magnitude);
// Debug.Log("edge norms: "+ab_nor+" "+bc_nor+" "+ca_nor);
Dictionary <float, Vector3> map_ab = new Dictionary <float, Vector3>(), // distance (from first vertex in edge) -> vertex in edge
map_bc = new Dictionary <float, Vector3>(), // used for sorting... TODO: change to SortedDictionary
map_ca = new Dictionary <float, Vector3>();
HashSet <Vector3> exiting_ivs = new HashSet <Vector3>();
MUPlane ab = new MUPlane(ab_nor, a), // planes passing through edges, perpendicular to triangle
bc = new MUPlane(bc_nor, b),
ca = new MUPlane(ca_nor, c);
// Debug.Log("tri: "+tri_plane+" "+normal);
//Debugging.DebugRing(points);
Vector3 opi, old_point;
bool oaab, oabc, oaca;
SortedDictionary <float, Vector3> dist_map_old;
RingGen strip_rings;
if (template.isClosed)
{
opi = tri_plane.DirectionalProject(points.Last(), normal);
old_point = points.Last();
oaab = ab.IsAbove(opi);
oabc = bc.IsAbove(opi);
oaca = ca.IsAbove(opi);
dist_map_old = point_data[points.Last()].Item1;
strip_rings = point_data[points.Last()].Item2;
}
else
{
opi = tri_plane.DirectionalProject(points.First(), normal);
old_point = points.First();
oaab = ab.IsAbove(opi);
oabc = bc.IsAbove(opi);
oaca = ca.IsAbove(opi);
dist_map_old = point_data[points.First()].Item1;
strip_rings = point_data[points.First()].Item2;
}
bool oldInside = !(oaab || oabc || oaca);
for (int i = template.isClosed ? 0 : 1; i < points.Count; i++)
{
Vector3 cur_point = points[i];
SortedDictionary <float, Vector3> dist_map = point_data[cur_point].Item1;
Vector3 pi = tri_plane.DirectionalProject(cur_point, normal);
// Debug.Log(opi+" => "+pi);
bool aab = ab.IsAbove(pi), // above means outside edge
abc = bc.IsAbove(pi),
aca = ca.IsAbove(pi);
bool inside = !(aab || abc || aca);
// Debug.Log(aab+" "+abc+" "+aca+" | "+oaab+" "+oabc+" "+oaca);
if (inside != oldInside)
{
// Debug.Log("EDGE PAIR: "+a+" "+b+" "+c+" pi-opi: "+pi+" "+opi+" hc: "+pi.GetHashCode()+" "+opi.GetHashCode());
// add edge pair
MUPlane edge_plane;
Dictionary <float, Vector3> map;
Vector3 ep1, ep2, iv;
if (inside)
{
if (oaab)
{
edge_plane = ab; map = map_ab; ep1 = a; ep2 = b;
iv = ivSaver.Intersect(edge_plane, ep1, ep2, opi, pi, old_point, cur_point);
if (Vector3.Dot(ep1 - iv, ep2 - iv) < 0)
{
goto connect;
}
}
if (oabc)
{
edge_plane = bc; map = map_bc; ep1 = b; ep2 = c;
iv = ivSaver.Intersect(edge_plane, ep1, ep2, opi, pi, old_point, cur_point);
if (Vector3.Dot(ep1 - iv, ep2 - iv) < 0)
{
goto connect;
}
}
if (oaca)
{
edge_plane = ca; map = map_ca; ep1 = c; ep2 = a;
iv = ivSaver.Intersect(edge_plane, ep1, ep2, opi, pi, old_point, cur_point);
if (Vector3.Dot(ep1 - iv, ep2 - iv) < 0)
{
goto connect;
}
}
throw MeshUtilsException.Internal("Point on neither side of triangle");
connect:
// Debug.Log("EDGE PAIR: "+iv+" "+pi+" hc: "+iv.GetHashCode()+" "+pi.GetHashCode());
float dist_key = template.plane.SignedDistance(pi);
if (!dist_map.ContainsKey(dist_key))
{
dist_map.Add(dist_key, pi);
}
map.Add((ep1 - iv).magnitude, iv);
strip_rings.AddConnected(ring_dir?iv:pi, ring_dir?pi:iv);
intersection_ring.AddConnected(ring_dir?iv:pi, ring_dir?pi:iv);
tri_rings.AddConnected(iv, pi);
}
else
{
// Debug.Log(a+" "+b+" "+c+" "+template_plane);
// Debug.Log(pa+" "+pb+" "+pc+" "+points[i-1]+" "+points[i]);
if (aab)
{
edge_plane = ab; map = map_ab; ep1 = a; ep2 = b;
iv = ivSaver.Intersect(edge_plane, ep1, ep2, opi, pi, old_point, cur_point);
if (Vector3.Dot(ep1 - iv, ep2 - iv) < 0)
{
goto connect;
}
}
if (abc)
{
edge_plane = bc; map = map_bc; ep1 = b; ep2 = c;
iv = ivSaver.Intersect(edge_plane, ep1, ep2, opi, pi, old_point, cur_point);
if (Vector3.Dot(ep1 - iv, ep2 - iv) < 0)
{
goto connect;
}
}
if (aca)
{
edge_plane = ca; map = map_ca; ep1 = c; ep2 = a;
iv = ivSaver.Intersect(edge_plane, ep1, ep2, opi, pi, old_point, cur_point);
if (Vector3.Dot(ep1 - iv, ep2 - iv) < 0)
{
goto connect;
}
}
throw MeshUtilsException.Internal("Point on neither side of triangle");
connect:
// Debug.Log("EDGE PAIR: "+iv+" "+opi+" hc: "+iv.GetHashCode()+" "+opi.GetHashCode());
float dist_key = template.plane.SignedDistance(opi);
if (!dist_map_old.ContainsKey(dist_key))
{
dist_map_old.Add(dist_key, opi);
}
map.Add((ep1 - iv).magnitude, iv);
strip_rings.AddConnected(ring_dir?opi:iv, ring_dir?iv:opi);
intersection_ring.AddConnected(ring_dir?opi:iv, ring_dir?iv:opi);
tri_rings.AddConnected(opi, iv);
exiting_ivs.Add(iv);
}
}
else if (inside)
{
// add inner pair
// Debug.Log("INNER PAIR: "+a+" "+b+" "+c+" pi-opi: "+pi+" "+opi+" hc: "+pi.GetHashCode()+" "+opi.GetHashCode());
// Debug.Log("INNER PAIR: "+pi+" "+opi+" hc: "+pi.GetHashCode()+" "+opi.GetHashCode());
strip_rings.AddConnected(ring_dir?opi:pi, ring_dir?pi:opi);
intersection_ring.AddConnected(ring_dir?opi:pi, ring_dir?pi:opi);
tri_rings.AddConnected(opi, pi);
float dist_key = template.plane.SignedDistance(pi);
if (!dist_map.ContainsKey(dist_key))
{
dist_map.Add(dist_key, pi);
}
dist_key = template.plane.SignedDistance(opi);
if (!dist_map_old.ContainsKey(dist_key))
{
dist_map_old.Add(dist_key, opi);
}
}
else
{
// add outer pair
if ( // test to check if edge does not cross triangle
(aab && oaab) ||
(abc && oabc) ||
(aca && oaca)
)
{
goto continue_for;
}
// crosses triangle
if (!aab && !oaab) // not ab
{
Vector3 iv0 = ivSaver.Intersect(bc, b, c, opi, pi, old_point, cur_point),
iv1 = ivSaver.Intersect(ca, c, a, opi, pi, old_point, cur_point);
if (
Vector3.Dot(b - iv0, c - iv0) > 0 ||
Vector3.Dot(c - iv1, a - iv1) > 0
)
{
goto continue_for;
}
// Debug.Log("OUTER PAIR: "+iv0+" "+iv1+" hc: "+iv0.GetHashCode()+" "+iv1.GetHashCode());
map_bc.Add((b - iv0).magnitude, iv0);
map_ca.Add((c - iv1).magnitude, iv1);
bool iv0_first = (iv0 - opi).magnitude < (iv1 - opi).magnitude;
exiting_ivs.Add(iv0_first?iv1:iv0);
tri_rings.AddConnected(iv0_first?iv0:iv1, iv0_first?iv1:iv0);
strip_rings.AddConnected((!ring_dir ^ iv0_first)?iv0:iv1, (!ring_dir ^ iv0_first)?iv1:iv0);
intersection_ring.AddConnected((!ring_dir ^ iv0_first)?iv0:iv1, (!ring_dir ^ iv0_first)?iv1:iv0);
}
else if (!abc && !oabc) // not bc
{
Vector3 iv0 = ivSaver.Intersect(ca, c, a, opi, pi, old_point, cur_point),
iv1 = ivSaver.Intersect(ab, a, b, opi, pi, old_point, cur_point);
if (
Vector3.Dot(c - iv0, a - iv0) > 0 ||
Vector3.Dot(a - iv1, b - iv1) > 0
)
{
goto continue_for;
}
// Debug.Log("OUTER PAIR: "+iv0+" "+iv1+" hc: "+iv0.GetHashCode()+" "+iv1.GetHashCode());
map_ca.Add((c - iv0).magnitude, iv0);
map_ab.Add((a - iv1).magnitude, iv1);
bool iv0_first = (iv0 - opi).magnitude < (iv1 - opi).magnitude;
exiting_ivs.Add(iv0_first?iv1:iv0);
tri_rings.AddConnected(iv0_first?iv0:iv1, iv0_first?iv1:iv0);
strip_rings.AddConnected((!ring_dir ^ iv0_first)?iv0:iv1, (!ring_dir ^ iv0_first)?iv1:iv0);
intersection_ring.AddConnected((!ring_dir ^ iv0_first)?iv0:iv1, (!ring_dir ^ iv0_first)?iv1:iv0);
}
else if (!aca && !oaca) // not ca
{
Vector3 iv0 = ivSaver.Intersect(ab, a, b, opi, pi, old_point, cur_point),
iv1 = ivSaver.Intersect(bc, b, c, opi, pi, old_point, cur_point);
if (
Vector3.Dot(a - iv0, b - iv0) > 0 ||
Vector3.Dot(b - iv1, c - iv1) > 0
)
{
goto continue_for;
}
// Debug.Log("OUTER PAIR: "+iv0+" "+iv1+" hc: "+iv0.GetHashCode()+" "+iv1.GetHashCode());
map_ab.Add((a - iv0).magnitude, iv0);
map_bc.Add((b - iv1).magnitude, iv1);
bool iv0_first = (iv0 - opi).magnitude < (iv1 - opi).magnitude;
exiting_ivs.Add(iv0_first?iv1:iv0);
tri_rings.AddConnected(iv0_first?iv0:iv1, iv0_first?iv1:iv0);
strip_rings.AddConnected((!ring_dir ^ iv0_first)?iv0:iv1, (!ring_dir ^ iv0_first)?iv1:iv0);
intersection_ring.AddConnected((!ring_dir ^ iv0_first)?iv0:iv1, (!ring_dir ^ iv0_first)?iv1:iv0);
}
else // opposite sides
{
MUPlane edge_plane, edge_plane1;
Dictionary <float, Vector3> map, map1;
Vector3 iv, iv1; // iv is entry, must be one side; iv1 is exit, can be either two other sides
float iv_mag, iv1_mag;
bool swap_ring_dir = false;
if (aab && !abc && !aca || oaab && !oabc && !oaca)
{
// Debug.Log("1 swap "+oaab);
if (oaab)
{
swap_ring_dir = true;
}
edge_plane = ab;
map = map_ab;
iv = ivSaver.Intersect(ab, a, b, opi, pi, old_point, cur_point);
iv_mag = (a - iv).magnitude;
if (Vector3.Dot(a - iv, b - iv) > 0)
{
goto continue_for;
}
iv1 = ivSaver.Intersect(bc, b, c, opi, pi, old_point, cur_point);
if (Vector3.Dot(b - iv1, c - iv1) > 0)
{
iv1 = ivSaver.Intersect(ca, c, a, opi, pi, old_point, cur_point);
iv1_mag = (c - iv1).magnitude;
edge_plane1 = ca;
map1 = map_ca;
}
else
{
iv1_mag = (b - iv1).magnitude;
edge_plane1 = bc;
map1 = map_bc;
}
goto connect_opposite;
}
else if (!aab && abc && !aca || !oaab && oabc && !oaca)
{
// Debug.Log("2 swap "+oabc);
if (oabc)
{
swap_ring_dir = true;
}
edge_plane = bc;
map = map_bc;
iv = ivSaver.Intersect(bc, b, c, opi, pi, old_point, cur_point);
iv_mag = (b - iv).magnitude;
if (Vector3.Dot(b - iv, c - iv) > 0)
{
goto continue_for;
}
iv1 = ivSaver.Intersect(ca, c, a, opi, pi, old_point, cur_point);
if (Vector3.Dot(c - iv1, a - iv1) > 0)
{
iv1 = ivSaver.Intersect(ab, a, b, opi, pi, old_point, cur_point);
iv1_mag = (a - iv1).magnitude;
edge_plane1 = ab;
map1 = map_ab;
}
else
{
iv1_mag = (c - iv1).magnitude;
edge_plane1 = ca;
map1 = map_ca;
}
goto connect_opposite;
}
else if (!aab && !abc && aca || !oaab && !oabc && oaca)
{
// Debug.Log("3 swap "+oaca);
if (oaca)
{
swap_ring_dir = true;
}
edge_plane = ca;
map = map_ca;
iv = ivSaver.Intersect(ca, c, a, opi, pi, old_point, cur_point);
iv_mag = (c - iv).magnitude;
if (Vector3.Dot(c - iv, a - iv) > 0)
{
goto continue_for;
}
iv1 = ivSaver.Intersect(ab, a, b, opi, pi, old_point, cur_point);
if (Vector3.Dot(a - iv1, b - iv1) > 0)
{
iv1 = ivSaver.Intersect(bc, b, c, opi, pi, old_point, cur_point);
iv1_mag = (b - iv1).magnitude;
edge_plane1 = bc;
map1 = map_bc;
}
else
{
iv1_mag = (a - iv1).magnitude;
edge_plane1 = ab;
map1 = map_ab;
}
goto connect_opposite;
}
throw MeshUtilsException.Internal("Case exhaustion failed");
connect_opposite:
// Debug.Log("CROSS PAIR: "+iv+" "+iv1+" hc: "+iv.GetHashCode()+" "+iv1.GetHashCode());
// Debug.Log("yay "+opi+" "+pi+" "+a+" "+b+" "+c+" "+aab+" "+abc+" "+aca+" "+oaab+" "+oabc+" "+oaca);
map.Add(iv_mag, iv);
map1.Add(iv1_mag, iv1);
exiting_ivs.Add(swap_ring_dir?iv1:iv);
// Debug.Log("exiting is "+(swap_ring_dir?iv1:iv));
strip_rings.AddConnected((!ring_dir ^ swap_ring_dir)?iv:iv1, (!ring_dir ^ swap_ring_dir)?iv1:iv);
intersection_ring.AddConnected((!ring_dir ^ swap_ring_dir)?iv:iv1, (!ring_dir ^ swap_ring_dir)?iv1:iv);
tri_rings.AddConnected(swap_ring_dir?iv:iv1, swap_ring_dir?iv1:iv);
}
}
continue_for:
old_point = cur_point;
oldInside = inside;
oaab = aab;
oabc = abc;
oaca = aca;
opi = pi;
dist_map_old = dist_map;
strip_rings = point_data[points[i]].Item2;
}
if (tri_rings.HasComplete())
{
#if !HANDLE_CLOSED
throw MeshUtilsException.Internal("Template closed and within triangle not handled");
#else
// Debug.Log("inside");
if (tri_rings.HasPartials())
{
throw MeshUtilsException.Internal("Unexpected condition");
}
List <Ring> ring = tri_rings.GetRings(false, false);
if (ring.Count != 1)
{
throw MeshUtilsException.Internal("Multiple rings in single triangle");
}
Debugging.DebugRing(ring[0].verts);
GenerateRingMesh(ring[0].verts, partToUse?neg:pos, tri_nor, true, null, addNormals);
var r0 = new Ring(new List <Vector3>()
{
a, b, c
});
var r1 = ring[0];
r1.verts.Reverse();
// join indices
int i0 = 0, i1 = 0;
r0.RingDist(r1, ref i0, ref i1);
// the inner ring should have the opposite direction
// join by inserting r1 at i0 in r0
List <Vector3> res = new List <Vector3>();
res.AddRange(r0.verts.GetRange(0, i0 + 1)); // r0 from start to split
res.AddRange(r1.verts.GetRange(i1, r1.verts.Count - i1)); // r1 from split to end
res.AddRange(r1.verts.GetRange(0, i1 + 1)); // r1 from start to split
res.AddRange(r0.verts.GetRange(i0, r0.verts.Count - i0)); // r0 from split to end
// Debugging.DebugRing(res);
GenerateRingMesh(res, partToUse?pos:neg, tri_nor, true, null, addNormals);
return(true);
#endif
}
if (!tri_rings.HasPartials())
{
return(false);
}
// Debugging.DebugRing(points.ConvertAll(p=>tri_plane.DirectionalProject(p,normal)));
// Debug.Log("tri verts:"+a+" "+b+" "+c);
// tri_rings.MyDebugLog();
// Debug.Log("connecting ivs...");
RingGenerator inv_tri_rings = tri_rings.Duplicate(); // seperate rings needed for other MeshPart
ConnectIVs(exiting_ivs, a, b, c, map_ab, map_ca, map_bc, tri_rings, inv_tri_rings); // connect edges around in triangle rings
ConnectIVs(exiting_ivs, b, c, a, map_bc, map_ab, map_ca, tri_rings, inv_tri_rings); // one call per edge
ConnectIVs(exiting_ivs, c, a, b, map_ca, map_bc, map_ab, tri_rings, inv_tri_rings);
// Debug.Log("gen:");
//tri_rings.MyDebugLog();
foreach (var ring in tri_rings.GetRings(false, false))
{
// Debugging.DebugRing(ring.verts);
GenerateRingMesh(ring.verts, partToUse?neg:pos, tri_nor, true, null, addNormals);
}
// Debug.Log("gen inv:");
//inv_tri_rings.MyDebugLog();
foreach (var ring in inv_tri_rings.GetRings(false, false))
{
//Debugging.DebugRing(ring.verts);
ring.verts.Reverse();
GenerateRingMesh(ring.verts, partToUse?pos:neg, tri_nor, true, null, addNormals);
}
//Debug.Log("--------------- END PROCESS TRIANGLE");
return(true);
}
