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using System.Collections.Generic;
using UnityEngine;
public static class MeshExtension
{
public static (Mesh, Mesh) Cut(Mesh mesh, Transform transform, Vector3 normal, Vector3 position)
{
List<Vector3> newVerticesA = new List<Vector3>();
List<int> newTrianglesA = new List<int>();
List<Vector3> newNormalsA = new List<Vector3>();
List<Vector3> newVerticesB = new List<Vector3>();
List<int> newTrianglesB = new List<int>();
List<Vector3> newNormalsB = new List<Vector3>();
Vector3[] vertices = mesh.vertices;
int[] triangles = mesh.triangles;
Vector3[] normals = mesh.normals;
for (int i = 0; i < mesh.triangles.Length; i += 3)
{
Vector3 pointA = vertices[triangles[i]];
Vector3 pointB = vertices[triangles[i + 1]];
Vector3 pointC = vertices[triangles[i + 2]];
Vector3 AA_AB = pointB - pointA;
Vector3 AA_AC = pointC - pointA;
Vector3 A_N = Vector3.Cross(AA_AB, AA_AC);
float A_H = Vector3.Dot(A_N, pointA);
Vector3 planePosition = transform.InverseTransformPoint(position);
Vector3 B_N = transform.InverseTransformVector(normal);
float B_H = Vector3.Dot(B_N, planePosition);
if (Vector3.Dot(A_N, B_N) > 0.999f)
{
if (Vector3.Dot(pointA - position, normal) > 0)
{
newVerticesA.Add(pointA);
newVerticesA.Add(pointB);
newVerticesA.Add(pointC);
newTrianglesA.Add(newVerticesA.Count - 3);
newTrianglesA.Add(newVerticesA.Count - 2);
newTrianglesA.Add(newVerticesA.Count - 1);
newNormalsA.Add(normals[triangles[i]]);
newNormalsA.Add(normals[triangles[i + 1]]);
newNormalsA.Add(normals[triangles[i + 2]]);
}
else
{
newVerticesB.Add(pointA);
newVerticesB.Add(pointB);
newVerticesB.Add(pointC);
newTrianglesB.Add(newVerticesB.Count - 3);
newTrianglesB.Add(newVerticesB.Count - 2);
newTrianglesB.Add(newVerticesB.Count - 1);
newNormalsB.Add(normals[triangles[i]]);
newNormalsB.Add(normals[triangles[i + 1]]);
newNormalsB.Add(normals[triangles[i + 2]]);
}
continue;
}
float dotNormal = Vector3.Dot(A_N, B_N);
float dotNormalSqr = dotNormal * dotNormal;
float c1 = (A_H - B_H * dotNormal) / (1 - dotNormalSqr);
float c2 = (B_H - A_H * dotNormal) / (1 - dotNormalSqr);
Vector3 b = c1 * A_N + c2 * B_N;
Vector3 m = Vector3.Cross(A_N, B_N);
Vector4 plane = new Vector4(B_N.x, B_N.y, B_N.z, -Vector3.Dot(B_N, planePosition));
float sideA = Mathf.Sign(Vector4.Dot(plane, new Vector4(pointA.x, pointA.y, pointA.z, 1)));
float sideB = Mathf.Sign(Vector4.Dot(plane, new Vector4(pointB.x, pointB.y, pointB.z, 1)));
float sideC = Mathf.Sign(Vector4.Dot(plane, new Vector4(pointC.x, pointC.y, pointC.z, 1)));
int cornerIndex = -1;
if (sideA != sideB && sideA != sideC)
{
cornerIndex = 0;
}
else if (sideB != sideA && sideB != sideC)
{
cornerIndex = 1;
}
else if (sideC != sideA && sideC != sideB)
{
cornerIndex = 2;
}
if (cornerIndex != -1)
{
Vector3 corner = vertices[triangles[i + cornerIndex]];
Vector3 cornerA = vertices[triangles[i + (cornerIndex + 1) % 3]];
Vector3 cornerB = vertices[triangles[i + (cornerIndex + 2) % 3]];
IntersectLineCorner(b, m, corner, cornerA, cornerB, out (Vector3 a, Vector3 b) resultIntersect);
//Gizmos.color = Color.red;
//Gizmos.DrawSphere(resultIntersect.a, 0.01f);
//Gizmos.DrawSphere(resultIntersect.b, 0.01f);
if (Vector3.Dot(corner - position, normal) > 0)
{
newVerticesA.Add(corner);
newVerticesA.Add(resultIntersect.a);
newVerticesA.Add(resultIntersect.b);
newTrianglesA.Add(newVerticesA.Count - 3);
newTrianglesA.Add(newVerticesA.Count - 2);
newTrianglesA.Add(newVerticesA.Count - 1);
newNormalsA.Add(normals[triangles[i + cornerIndex]]);
newNormalsA.Add(Vector3.Lerp(normals[triangles[i + cornerIndex]], normals[triangles[i + (cornerIndex + 1) % 3]], Vector3.Dot(cornerA - corner, resultIntersect.a - corner) / (cornerA - corner).magnitude));
newNormalsA.Add(Vector3.Lerp(normals[triangles[i + cornerIndex]], normals[triangles[i + (cornerIndex + 2) % 3]], Vector3.Dot(cornerB - corner, resultIntersect.b - corner) / (cornerB - corner).magnitude));
newVerticesB.Add(resultIntersect.a);
newVerticesB.Add(cornerA);
newVerticesB.Add(cornerB);
newTrianglesB.Add(newVerticesB.Count - 3);
newTrianglesB.Add(newVerticesB.Count - 2);
newTrianglesB.Add(newVerticesB.Count - 1);
newNormalsB.Add(Vector3.Lerp(normals[triangles[i + cornerIndex]], normals[triangles[i + (cornerIndex + 1) % 3]], Vector3.Dot(cornerA - corner, resultIntersect.a - corner) / (cornerA - corner).magnitude));
newNormalsB.Add(normals[triangles[i + (cornerIndex + 1) % 3]]);
newNormalsB.Add(normals[triangles[i + (cornerIndex + 2) % 3]]);
newVerticesB.Add(resultIntersect.a);
newVerticesB.Add(cornerB);
newVerticesB.Add(resultIntersect.b);
newTrianglesB.Add(newVerticesB.Count - 3);
newTrianglesB.Add(newVerticesB.Count - 2);
newTrianglesB.Add(newVerticesB.Count - 1);
newNormalsB.Add(Vector3.Lerp(normals[triangles[i + cornerIndex]], normals[triangles[i + (cornerIndex + 1) % 3]], Vector3.Dot(cornerA - corner, resultIntersect.a - corner) / (cornerA - corner).magnitude));
newNormalsB.Add(normals[triangles[i + (cornerIndex + 2) % 3]]);
newNormalsB.Add(Vector3.Lerp(normals[triangles[i + cornerIndex]], normals[triangles[i + (cornerIndex + 2) % 3]], Vector3.Dot(cornerB - corner, resultIntersect.b - corner) / (cornerB - corner).magnitude));
}
else
{
newVerticesB.Add(corner);
newVerticesB.Add(resultIntersect.a);
newVerticesB.Add(resultIntersect.b);
newTrianglesB.Add(newVerticesB.Count - 3);
newTrianglesB.Add(newVerticesB.Count - 2);
newTrianglesB.Add(newVerticesB.Count - 1);
newNormalsB.Add(normals[triangles[i + cornerIndex]]);
newNormalsB.Add(Vector3.Lerp(normals[triangles[i + cornerIndex]], normals[triangles[i + (cornerIndex + 1) % 3]], Vector3.Dot(cornerA - corner, resultIntersect.a - corner) / (cornerA - corner).magnitude));
newNormalsB.Add(Vector3.Lerp(normals[triangles[i + cornerIndex]], normals[triangles[i + (cornerIndex + 2) % 3]], Vector3.Dot(cornerB - corner, resultIntersect.b - corner) / (cornerB - corner).magnitude));
newVerticesA.Add(resultIntersect.a);
newVerticesA.Add(cornerA);
newVerticesA.Add(cornerB);
newTrianglesA.Add(newVerticesA.Count - 3);
newTrianglesA.Add(newVerticesA.Count - 2);
newTrianglesA.Add(newVerticesA.Count - 1);
newNormalsA.Add(Vector3.Lerp(normals[triangles[i + cornerIndex]], normals[triangles[i + (cornerIndex + 1) % 3]], Vector3.Dot(cornerA - corner, resultIntersect.a - corner) / (cornerA - corner).magnitude));
newNormalsA.Add(normals[triangles[i + (cornerIndex + 1) % 3]]);
newNormalsA.Add(normals[triangles[i + (cornerIndex + 2) % 3]]);
newVerticesA.Add(resultIntersect.a);
newVerticesA.Add(cornerB);
newVerticesA.Add(resultIntersect.b);
newTrianglesA.Add(newVerticesA.Count - 3);
newTrianglesA.Add(newVerticesA.Count - 2);
newTrianglesA.Add(newVerticesA.Count - 1);
newNormalsA.Add(Vector3.Lerp(normals[triangles[i + cornerIndex]], normals[triangles[i + (cornerIndex + 1) % 3]], Vector3.Dot(cornerA - corner, resultIntersect.a - corner) / (cornerA - corner).magnitude));
newNormalsA.Add(normals[triangles[i + (cornerIndex + 2) % 3]]);
newNormalsA.Add(Vector3.Lerp(normals[triangles[i + cornerIndex]], normals[triangles[i + (cornerIndex + 2) % 3]], Vector3.Dot(cornerB - corner, resultIntersect.b - corner) / (cornerB - corner).magnitude));
}
continue;
}
if (Vector3.Dot(pointA - position, normal) > 0)
{
newVerticesA.Add(pointA);
newVerticesA.Add(pointB);
newVerticesA.Add(pointC);
newTrianglesA.Add(newVerticesA.Count - 3);
newTrianglesA.Add(newVerticesA.Count - 2);
newTrianglesA.Add(newVerticesA.Count - 1);
newNormalsA.Add(normals[triangles[i]]);
newNormalsA.Add(normals[triangles[i + 1]]);
newNormalsA.Add(normals[triangles[i + 2]]);
}
else
{
newVerticesB.Add(pointA);
newVerticesB.Add(pointB);
newVerticesB.Add(pointC);
newTrianglesB.Add(newVerticesB.Count - 3);
newTrianglesB.Add(newVerticesB.Count - 2);
newTrianglesB.Add(newVerticesB.Count - 1);
newNormalsB.Add(normals[triangles[i]]);
newNormalsB.Add(normals[triangles[i + 1]]);
newNormalsB.Add(normals[triangles[i + 2]]);
}
}
Mesh A = new Mesh();
A.vertices = newVerticesA.ToArray();
A.triangles = newTrianglesA.ToArray();
A.normals = newNormalsA.ToArray();
Mesh B = new Mesh();
B.vertices = newVerticesB.ToArray();
B.triangles = newTrianglesB.ToArray();
B.normals = newNormalsB.ToArray();
return (A, B);
}
private static bool IntersectLineCorner(Vector3 b, Vector3 m, Vector3 planePositionA, Vector3 planePositionB, Vector3 planePositionC, out (Vector3 a, Vector3 b) result)
{
Vector3 ADot = b + m * Vector3.Dot(planePositionA - b, m);
Gizmos.color = Color.red;
if (IntersectLineLine(planePositionA, ADot, planePositionB - planePositionA, out Vector3 point1)
&& IntersectLineLine(planePositionA, ADot, planePositionC - planePositionA, out Vector3 point2))
{
result = (point1, point2);
return true;
}
result = (Vector3.zero, Vector3.zero);
return false;
}
private static bool IntersectLineLine(Vector3 lineAPositionA, Vector3 lineAPositionB, Vector3 B, out Vector3 result)
{
Vector3 A = lineAPositionB - lineAPositionA;
float AMagnitude = A.magnitude;
float BMagnitude = B.magnitude;
if (BMagnitude == 0 || AMagnitude == 0)
{
result = Vector3.zero;
return false;
}
float dot = Vector3.Dot(A, B) / (AMagnitude * BMagnitude);
if (dot == 0)
{
result = Vector3.zero;
return false;
}
result = lineAPositionA + B.normalized * (AMagnitude / dot);
return true;
}
private static void ContactPoint(Mesh A, Vector3 positionA, Quaternion orientationA, Mesh B, Vector3 positionB, Quaternion orientationB)
{
for (int i = 0; i < A.triangles.Length; i += 3)
{
//if (i != 24)
// continue;
Vector3 pointAA = positionA + orientationA * A.vertices[A.triangles[i]];
Vector3 pointAB = positionA + orientationA * A.vertices[A.triangles[i + 1]];
Vector3 pointAC = positionA + orientationA * A.vertices[A.triangles[i + 2]];
for (int j = 0; j < B.triangles.Length; j += 3)
{
//if (j != 6)
// continue;
Vector3 pointBA = positionB + orientationB * B.vertices[B.triangles[j]];
Vector3 pointBB = positionB + orientationB * B.vertices[B.triangles[j + 1]];
Vector3 pointBC = positionB + orientationB * B.vertices[B.triangles[j + 2]];
if (LinePlaneIntersection(pointBA, pointBB, pointAA, pointAB, pointAC, out Vector3 result1))
{
Gizmos.DrawSphere(result1, 0.01f);
}
if (LinePlaneIntersection(pointBA, pointBC, pointAA, pointAB, pointAC, out Vector3 result2))
{
Gizmos.DrawSphere(result2, 0.01f);
}
if (LinePlaneIntersection(pointBB, pointBC, pointAA, pointAB, pointAC, out Vector3 result3))
{
Gizmos.DrawSphere(result3, 0.01f);
}
}
}
}
private static bool LinePlaneIntersection(Vector3 linePositionA, Vector3 linePositionB, Vector3 planePositionA, Vector3 planePositionB, Vector3 planePositionC, out Vector3 result)
{
Vector3 P01 = planePositionB - planePositionA;
Vector3 P02 = planePositionC - planePositionA;
Vector3 P03 = planePositionC - planePositionB;
Vector3 IAB = linePositionB - linePositionA;
float sqrMagnitudeIAB = IAB.sqrMagnitude;
//Debug.DrawRay(planePositionA, P01, Color.red);
//Debug.DrawRay(planePositionA, P02, Color.green);
//Debug.DrawRay(linePositionA, IAB, Color.blue);
Vector3 normal = Vector3.Cross(P01, P02);
float denominator = Vector3.Dot(-IAB, normal);
if (Mathf.Abs(denominator) < 0.001f) { result = new Vector3(); return false; }
result = linePositionA + IAB * Vector3.Dot(Vector3.Cross(P01, P02), linePositionA - planePositionA) / denominator;
if ((result - linePositionA).sqrMagnitude > sqrMagnitudeIAB || (result - linePositionB).sqrMagnitude > sqrMagnitudeIAB) return false;
if (Vector3.Dot(normal, Vector3.Cross(P01, result - planePositionA)) < 0) return false;
if (Vector3.Dot(normal, Vector3.Cross(P03, result - planePositionB)) < 0) return false;
if (Vector3.Dot(normal, Vector3.Cross(-P02, result - planePositionC)) < 0) return false;
return true;
}
}