// ######################## FUNCTIONALITY ######################## //
/// <summary>
/// Rotates the Hypercube and projects it on the mesh
/// </summary>
public void UpdateMesh()
{
// rotate and project
for (int i = 0; i < Verts.Length; ++i)
{
// set up rotation amtrices
_rotateXW.SetRow(0, new Vector4(Mathf.Cos(_wRot.XW), 0, 0, -Mathf.Sin(_wRot.XW)));
_rotateXW.SetRow(3, new Vector4(Mathf.Sin(_wRot.XW), 0, 0, Mathf.Cos(_wRot.XW)));
_rotateYW.SetRow(1, new Vector4(0, Mathf.Cos(_wRot.YW), 0, -Mathf.Sin(_wRot.YW)));
_rotateYW.SetRow(3, new Vector4(0, Mathf.Sin(_wRot.YW), 0, Mathf.Cos(_wRot.YW)));
_rotateZW.SetRow(2, new Vector4(0, 0, Mathf.Cos(_wRot.ZW), -Mathf.Sin(_wRot.ZW)));
_rotateZW.SetRow(3, new Vector4(0, 0, Mathf.Sin(_wRot.ZW), Mathf.Cos(_wRot.ZW)));
// rotate vertex
Vector4 vert = Verts[i];
vert = _rotateXW * _rotateYW * _rotateZW * vert;
// set up projection matrix
float projDist = 1 / (_projectionDist - vert.w);
Matrix4x4 projection = new Matrix4x4(new Vector4(projDist, 0, 0, 0), new Vector4(0, projDist, 0, 0), new Vector4(0, 0, projDist, 0), new Vector4(0, 0, 0, 1));
// project vertex
ProjectedVerts[i] = projection.MultiplyPoint3x4(vert);
}
// set up per-face vertices of the mesh
_meshVerts = new Vector3[]
{
//Front
ProjectedVerts[0],
ProjectedVerts[1],
ProjectedVerts[2],
ProjectedVerts[3],
//Front Flipped
ProjectedVerts[3],
ProjectedVerts[2],
ProjectedVerts[1],
ProjectedVerts[0],
// left
ProjectedVerts[0],
ProjectedVerts[3],
ProjectedVerts[7],
ProjectedVerts[4],
// left flipped
ProjectedVerts[4],
ProjectedVerts[7],
ProjectedVerts[3],
ProjectedVerts[0],
// top
ProjectedVerts[0],
ProjectedVerts[4],
ProjectedVerts[5],
ProjectedVerts[1],
// top flipped
ProjectedVerts[1],
ProjectedVerts[5],
ProjectedVerts[4],
ProjectedVerts[0],
// right
ProjectedVerts[1],
ProjectedVerts[5],
ProjectedVerts[6],
ProjectedVerts[2],
// right flipped
ProjectedVerts[2],
ProjectedVerts[6],
ProjectedVerts[5],
ProjectedVerts[1],
// bottom
ProjectedVerts[2],
ProjectedVerts[6],
ProjectedVerts[7],
ProjectedVerts[3],
// bottom flipped
ProjectedVerts[3],
ProjectedVerts[7],
ProjectedVerts[6],
ProjectedVerts[2],
// back
ProjectedVerts[4],
ProjectedVerts[7],
ProjectedVerts[6],
ProjectedVerts[5],
// back flipped
ProjectedVerts[5],
ProjectedVerts[6],
ProjectedVerts[7],
ProjectedVerts[4],
//Front
ProjectedVerts[8 + 0],
ProjectedVerts[8 + 1],
ProjectedVerts[8 + 2],
ProjectedVerts[8 + 3],
//FrontW Flipped
ProjectedVerts[8 + 3],
ProjectedVerts[8 + 2],
ProjectedVerts[8 + 1],
ProjectedVerts[8 + 0],
// leftW
ProjectedVerts[8 + 0],
ProjectedVerts[8 + 3],
ProjectedVerts[8 + 7],
ProjectedVerts[8 + 4],
// leftW flipped
ProjectedVerts[8 + 4],
ProjectedVerts[8 + 7],
ProjectedVerts[8 + 3],
ProjectedVerts[8 + 0],
// topW
ProjectedVerts[8 + 0],
ProjectedVerts[8 + 4],
ProjectedVerts[8 + 5],
ProjectedVerts[8 + 1],
// topW flipped
ProjectedVerts[8 + 1],
ProjectedVerts[8 + 5],
ProjectedVerts[8 + 4],
ProjectedVerts[8 + 0],
// rightW
ProjectedVerts[8 + 1],
ProjectedVerts[8 + 5],
ProjectedVerts[8 + 6],
ProjectedVerts[8 + 2],
// rightW flipped
ProjectedVerts[8 + 2],
ProjectedVerts[8 + 6],
ProjectedVerts[8 + 5],
ProjectedVerts[8 + 1],
// bottomW
ProjectedVerts[8 + 2],
ProjectedVerts[8 + 6],
ProjectedVerts[8 + 7],
ProjectedVerts[8 + 3],
// bottomW flipp8+ed
ProjectedVerts[8 + 3],
ProjectedVerts[8 + 7],
ProjectedVerts[8 + 6],
ProjectedVerts[8 + 2],
// backW
ProjectedVerts[8 + 4],
ProjectedVerts[8 + 7],
ProjectedVerts[8 + 6],
ProjectedVerts[8 + 5],
// backW flipped
ProjectedVerts[8 + 5],
ProjectedVerts[8 + 6],
ProjectedVerts[8 + 7],
ProjectedVerts[8 + 4],
//FrontFrontWLeft
ProjectedVerts[0],
ProjectedVerts[8],
ProjectedVerts[11],
ProjectedVerts[3],
//FrontFrontWTop
ProjectedVerts[0],
ProjectedVerts[1],
ProjectedVerts[9],
ProjectedVerts[8],
//FrontFrontWRight
ProjectedVerts[9],
ProjectedVerts[1],
ProjectedVerts[2],
ProjectedVerts[10],
//FrontFrontWBottom
ProjectedVerts[11],
ProjectedVerts[10],
ProjectedVerts[2],
ProjectedVerts[3],
//BackBackWLeft
ProjectedVerts[4],
ProjectedVerts[7],
ProjectedVerts[15],
ProjectedVerts[12],
//BackBackWTop
ProjectedVerts[5],
ProjectedVerts[4],
ProjectedVerts[12],
ProjectedVerts[13],
//BackBackWRight
ProjectedVerts[5],
ProjectedVerts[13],
ProjectedVerts[14],
ProjectedVerts[6],
//BackBackWBottom
ProjectedVerts[7],
ProjectedVerts[6],
ProjectedVerts[14],
ProjectedVerts[15],
//LeftLeftWLeft
ProjectedVerts[4],
ProjectedVerts[12],
ProjectedVerts[15],
ProjectedVerts[7],
//LeftLeftWTop
ProjectedVerts[4],
ProjectedVerts[0],
ProjectedVerts[8],
ProjectedVerts[12],
//LeftLeftWRight
ProjectedVerts[0],
ProjectedVerts[3],
ProjectedVerts[11],
ProjectedVerts[8],
//LeftLeftWBottom
ProjectedVerts[3],
ProjectedVerts[7],
ProjectedVerts[15],
ProjectedVerts[11],
//TopTopWLeft
ProjectedVerts[4],
ProjectedVerts[12],
ProjectedVerts[8],
ProjectedVerts[0],
//TopTopWTop
ProjectedVerts[4],
ProjectedVerts[5],
ProjectedVerts[13],
ProjectedVerts[12],
//TopTopWRight
ProjectedVerts[5],
ProjectedVerts[1],
ProjectedVerts[9],
ProjectedVerts[13],
//TopTopWBottom
ProjectedVerts[1],
ProjectedVerts[0],
ProjectedVerts[8],
ProjectedVerts[9],
//RightRightWLeft
ProjectedVerts[2],
ProjectedVerts[1],
ProjectedVerts[9],
ProjectedVerts[10],
//RightRightWTop
ProjectedVerts[1],
ProjectedVerts[5],
ProjectedVerts[13],
ProjectedVerts[9],
//RightRightWRight
ProjectedVerts[5],
ProjectedVerts[6],
ProjectedVerts[14],
ProjectedVerts[13],
//RightRightWBottom
ProjectedVerts[6],
ProjectedVerts[2],
ProjectedVerts[10],
ProjectedVerts[14],
//BottomBottomWLeft
ProjectedVerts[7],
ProjectedVerts[3],
ProjectedVerts[11],
ProjectedVerts[15],
//BottomBottomWTop
ProjectedVerts[3],
ProjectedVerts[2],
ProjectedVerts[10],
ProjectedVerts[11],
//BottomBottomWRight
ProjectedVerts[2],
ProjectedVerts[6],
ProjectedVerts[14],
ProjectedVerts[10],
//BottomBottomWBottom
ProjectedVerts[6],
ProjectedVerts[7],
ProjectedVerts[15],
ProjectedVerts[14],
};
Mesh3D.vertices = _meshVerts;
// generate triangles
if (_tris == null)
{
_tris = new int[_meshVerts.Length + _meshVerts.Length / 2];
// set up triangles
for (int i = 0; i <= _tris.Length - 6; i += 6)
{
_tris[i + 0] = (i / 6) * 4 + 0;
_tris[i + 1] = (i / 6) * 4 + 1;
_tris[i + 2] = (i / 6) * 4 + 2;
_tris[i + 3] = (i / 6) * 4 + 2;
_tris[i + 4] = (i / 6) * 4 + 3;
_tris[i + 5] = (i / 6) * 4 + 0;
}
Mesh3D.triangles = _tris;
}
// finalize mesh
Mesh3D.RecalculateNormals();
Mesh3D.RecalculateTangents();
Mesh3D.RecalculateBounds();
}