public static void CullSphereToHemisphere(MeshTool geometry)
{
int lastTri = geometry.indices.Length / 3 - 1;
var vertUse = new byte[geometry.VertexCount];
for (int i = 0; i <= lastTri; ++i)
{
var triangle = geometry.GetTriangle(i);
Vector3 a = geometry.positions[triangle.x];
Vector3 b = geometry.positions[triangle.y];
Vector3 c = geometry.positions[triangle.z];
if (Vector3.Cross(b - a, c - a).y < 0)
{
geometry.SwapTriangle(i, lastTri);
lastTri -= 1;
i -= 1;
}
else
{
vertUse[triangle.x] += 1;
vertUse[triangle.y] += 1;
vertUse[triangle.z] += 1;
}
}
int lastVert = geometry.VertexCount - 1;
for (int i = 0; i <= lastVert; ++i)
{
if (vertUse[i] == 0)
{
geometry.SwapVertex(i, lastVert, indices: true);
Swap(ref vertUse[i], ref vertUse[lastVert]);
lastVert -= 1;
i -= 1;
}
}
geometry.SetVertexCount(lastVert + 1);
geometry.SetIndexCount((lastTri + 1) * 3, preserve: true, lazy: false);
geometry.mesh.Clear();
geometry.Apply(positions: true, normals: true, indices: true);
}
public static void HemisphereOld(MeshTool geometry,
float radius,
int complexity,
bool correction)
{
int subdivisions = complexity / 6;
int sides = (complexity % 6) + 3;
if (correction)
{
// try to make the average of apoth/radius = desired radius
// * desired = (radius + apoth) / 2
// apoth = radius * cos(pi / sides)
// * desired = (radius + radius * cos(pi / sides)) / 2
// * desired = radius * (1 + cos(pi / sides)) / 2
// rearrange to determine radius from desired radius
// * radius = desired / ((1 + cos(pi / sides)) / 2)
radius = radius * 2 / (1 + Mathf.Cos(Mathf.PI / (sides * (subdivisions + 1))));
}
// pyramid
int vertCount = sides + 1;
int faceCount = sides;
int edgeCount = sides * 2;
for (int i = 0; i < subdivisions; ++i)
{
vertCount += edgeCount;
edgeCount += faceCount * 6;
faceCount *= 4;
}
geometry.SetVertexCount(vertCount);
geometry.SetIndexCount(faceCount * 3, lazy: true);
geometry.ActiveVertices = sides + 1;
geometry.ActiveIndices = sides * 3;
geometry.positions[0] = new Vector3(0, radius, 0);
geometry.normals[0] = new Vector3(0, 1, 0);
float da = Mathf.PI * 2 / sides;
for (int i = 1; i < vertCount; ++i)
{
var normal = new Vector3(Mathf.Cos(da * i), 0, Mathf.Sin(da * i));
geometry.positions[i] = FasterMath.Mul(normal, radius);
geometry.normals[i] = normal;
}
for (int i = 1; i < sides; ++i)
{
geometry.SetTriangle(i, 0, i + 1, i);
}
geometry.SetTriangle(0, 0, 1, sides);
int prevTriCount = geometry.ActiveIndices / 3;
int nextTriCount = 0;
var edges = new Dictionary <int, ushort>(prevTriCount * 6);
for (int i = 0; i < subdivisions; i++)
{
nextTriCount = prevTriCount * 4;
for (int j = 0; j < prevTriCount; ++j)
{
var tri = geometry.GetTriangle(j);
int a = GetMiddlePoint((ushort)tri.x, (ushort)tri.y, geometry, radius, edges);
int b = GetMiddlePoint((ushort)tri.y, (ushort)tri.z, geometry, radius, edges);
int c = GetMiddlePoint((ushort)tri.z, (ushort)tri.x, geometry, radius, edges);
geometry.SetTriangle(prevTriCount + j * 3 + 0, tri.x, a, c);
geometry.SetTriangle(prevTriCount + j * 3 + 1, tri.y, b, a);
geometry.SetTriangle(prevTriCount + j * 3 + 2, tri.z, c, b);
geometry.SetTriangle(j, a, b, c);
}
prevTriCount = nextTriCount;
edges.Clear();
}
geometry.mesh.Clear();
geometry.Apply(positions: true, normals: true, indices: true);
}
public static void Sphere(MeshTool geometry,
float radius,
int level,
bool correction)
{
var geodesic = geodesics[Mathf.Min(level, geodesics.Count - 1)];
geometry.Topology = MeshTopology.Triangles;
geometry.SetVertexCount(geodesic.VertexCount);
geometry.SetIndexCount(geodesic.FaceCount * 3, lazy: true);
if (correction)
{
radius *= geodesic.Correction;
}
if (geodesic.Base == Solid.Tetrahedron)
{
Tetrahedron(geometry, radius);
}
if (geodesic.Base == Solid.Octahedron)
{
Octahedron(geometry, radius);
}
if (geodesic.Base == Solid.Icosohedron)
{
Icosohedron(geometry, radius);
}
int prevTriCount = geometry.ActiveIndices / 3;
int nextTriCount = 0;
// only need as much edge memory as the last iteration, which adds an six
// edges per triangle of the previous iteration
int penulTriCount = geodesic.FaceCount / 4;
var edges = new Dictionary <int, ushort>(penulTriCount * 6);
for (int i = 0; i < geodesic.Subdivisions; i++)
{
nextTriCount = prevTriCount * 4;
for (int j = 0; j < prevTriCount; ++j)
{
var tri = geometry.GetTriangle(j);
int a = GetMiddlePoint((ushort)tri.x, (ushort)tri.y, geometry, radius, edges);
int b = GetMiddlePoint((ushort)tri.y, (ushort)tri.z, geometry, radius, edges);
int c = GetMiddlePoint((ushort)tri.z, (ushort)tri.x, geometry, radius, edges);
geometry.SetTriangle(prevTriCount + j * 3 + 0, tri.x, a, c);
geometry.SetTriangle(prevTriCount + j * 3 + 1, tri.y, b, a);
geometry.SetTriangle(prevTriCount + j * 3 + 2, tri.z, c, b);
geometry.SetTriangle(j, a, b, c);
}
prevTriCount = nextTriCount;
edges.Clear();
}
geometry.mesh.Clear();
geometry.Apply(positions: true, normals: true, indices: true);
}
