/// Compute polygon centroids based on point position attributes
/// Results are stored in internally stored attribute map named "polygon_centroids".
public void ComputePolygonCentroids()
{
var polygonCentroids = PolygonAttributes.FindOrCreate <Vector3>("polygon_centroids");
var pointLocations = PointAttributes.Find <Vector3>("point_locations");
polygonCentroids.Clear();
foreach (Polygon polygon in Polygons)
{
polygon.ComputeCentroid(polygonCentroids, pointLocations);
}
}
/// Compute polygon normals based on point position attributes.
/// Results are stored in internally stored attribute map named "polygon_normals".
public void ComputePolygonNormals()
{
var polygonNormals = PolygonAttributes.FindOrCreate <Vector3>("polygon_normals");
var pointLocations = PointAttributes.Find <Vector3>("point_locations");
polygonNormals.Clear();
foreach (Polygon polygon in Polygons)
{
polygon.ComputeNormal(polygonNormals, pointLocations);
}
}
public SuperEllipsoid(Vector3 radius, double n1, double n2, int sliceCount, int stackDivision)
{
MakeInfo info = new MakeInfo(radius, n1, n2, sliceCount, stackDivision);
info.pointLocations = PointAttributes.FindOrCreate <Vector3>("point_locations");
info.pointNormals = PointAttributes.FindOrCreate <Vector3>("point_normals");
info.pointTexcoords = PointAttributes.FindOrCreate <Vector2>("point_texcoords");
info.polygonCentroids = PolygonAttributes.FindOrCreate <Vector3>("polygon_centroids");
info.polygonNormals = PolygonAttributes.FindOrCreate <Vector3>("polygon_normals");
info.cornerTexcoords = CornerAttributes.FindOrCreate <Vector2>("corner_texcoords");
int slice;
int stack;
for (slice = 0; slice < sliceCount; ++slice)
{
double relSlice = (double)(slice) / (double)(sliceCount);
for (stack = -stackDivision; stack <= stackDivision; ++stack)
{
double relStack = (double)(stack) / (double)(stackDivision + 1);
Point point = MakePoint(info, relSlice, relStack);
info.points.Add(point);
}
}
info.bottom = MakePoint(info, 0.5f, -1.0f);
info.top = MakePoint(info, 0.5f, 1.0f);
#region bottom fan
{
for (slice = 0; slice < sliceCount; ++slice)
{
int nextSlice = (slice + 1);
int stackBase0 = 0;
double relSlice = ((double)(slice) + 0.5) / (double)(sliceCount);
double relStack = -1.0 + (0.5 / (double)(stackDivision + 1));
Point centroid = MakePoint(info, relSlice, relStack);
var polygon = MakePolygon();
#if CCW
MakeCorner(info, polygon, slice, stackBase0);
MakeCorner(info, polygon, slice, info.stackBase0Bottom);
MakeCorner(info, polygon, nextSlice, stackBase0);
#else
MakeCorner(info, polygon, nextSlice, stackBase0);
MakeCorner(info, polygon, slice, info.stackBase0Bottom);
MakeCorner(info, polygon, slice, stackBase0);
#endif
info.polygonCentroids[polygon] = info.pointLocations[centroid];
info.polygonNormals [polygon] = info.pointNormals [centroid];
}
}
#endregion
#region middle quads, bottom up
for (
stack = -stackDivision;
stack < stackDivision;
++stack
)
{
int stackBase0 = stack + stackDivision;
int nextStackBase0 = stackBase0 + 1;
double relStack = ((double)(stack) + 0.5) / (double)(stackDivision + 1);
for (slice = 0; slice < sliceCount; ++slice)
{
int nextSlice = (slice + 1);
double relSlice = ((double)(slice) + 0.5) / (double)(sliceCount);
Point centroid = MakePoint(info, relSlice, relStack);
var polygon = MakePolygon();
#if CCW
MakeCorner(info, polygon, nextSlice, nextStackBase0);
MakeCorner(info, polygon, slice, nextStackBase0);
MakeCorner(info, polygon, slice, stackBase0);
MakeCorner(info, polygon, nextSlice, stackBase0);
#else
MakeCorner(info, polygon, nextSlice, stackBase0);
MakeCorner(info, polygon, slice, stackBase0);
MakeCorner(info, polygon, slice, nextStackBase0);
MakeCorner(info, polygon, nextSlice, nextStackBase0);
#endif
info.polygonCentroids[polygon] = info.pointLocations[centroid];
info.polygonNormals [polygon] = info.pointNormals [centroid];
}
}
#endregion
#region top fan
for (slice = 0; slice < sliceCount; ++slice)
{
int nextSlice = (slice + 1);
int stackBase0 = stackDivision + stackDivision;
double relSlice = ((double)(slice) + 0.5) / (double)(sliceCount);
double relStack = 1.0 - (0.5 / (double)(stackDivision + 1));
Point centroid = MakePoint(info, relSlice, relStack);
var polygon = MakePolygon();
#if CCW
MakeCorner(info, polygon, slice, info.stackBase0Top);
MakeCorner(info, polygon, slice, stackBase0);
MakeCorner(info, polygon, nextSlice, stackBase0);
#else
MakeCorner(info, polygon, nextSlice, stackBase0);
MakeCorner(info, polygon, slice, stackBase0);
MakeCorner(info, polygon, slice, info.stackBase0Top);
#endif
info.polygonCentroids[polygon] = info.pointLocations[centroid];
info.polygonNormals [polygon] = info.pointNormals [centroid];
}
#endregion
}
public Disc(
double outerRadius,
double innerRadius,
int sliceCount,
int stackCount
)
{
MakeInfo info = new MakeInfo(outerRadius, innerRadius, sliceCount, stackCount);
info.pointLocations = PointAttributes.FindOrCreate <Vector3>("point_locations");
info.pointNormals = PointAttributes.FindOrCreate <Vector3>("point_normals");
info.pointTexcoords = PointAttributes.FindOrCreate <Vector2>("point_texcoords");
info.polygonCentroids = PolygonAttributes.FindOrCreate <Vector3>("polygon_centroids");
info.polygonNormals = PolygonAttributes.FindOrCreate <Vector3>("polygon_normals");
info.cornerNormals = CornerAttributes.FindOrCreate <Vector3>("corner_normals");
info.cornerTexcoords = CornerAttributes.FindOrCreate <Vector2>("corner_texcoords");
/* Make points */
for (int stack = 0; stack < stackCount; ++stack)
{
double relStack = (stackCount == 1) ? 1.0 : (double)stack / (double)(stackCount - 1);
for (int slice = 0; slice <= sliceCount; ++slice)
{
double relSlice = (double)slice / (double)sliceCount;
info.points[new KeyValuePair <int, int>(slice, stack)] = MakePoint(info, relSlice, relStack);
}
}
/* Special case without center point */
if (stackCount == 1)
{
Polygon polygon = MakePolygon();
info.polygonCentroids[polygon] = Vector3.Zero;
info.polygonNormals [polygon] = Vector3.UnitZ;
for (int slice = sliceCount - 1; slice >= 0; --slice)
{
MakeCorner(info, polygon, slice, 0);
}
return;
}
/* Make center point if needed */
if (innerRadius == 0.0f)
{
info.center = MakePoint(0.0, 0.0, 0.0);
}
/* Quads/triangles */
for (int stack = 0; stack < stackCount - 1; ++stack)
{
double relStackCentroid = (stackCount == 1) ? 0.5 : (double)stack / (double)(stackCount - 1);
for (int slice = 0; slice < sliceCount; ++slice)
{
double relSliceCentroid = ((double)(slice) + 0.5) / (double)(sliceCount);
Point centroid = MakePoint(info, relSliceCentroid, relStackCentroid);
Polygon polygon = MakePolygon();
info.polygonCentroids[polygon] = info.pointLocations[centroid];
info.polygonNormals [polygon] = Vector3.UnitZ;
if ((stack == 0) && (innerRadius == 0.0))
{
Corner tip = MakeCorner(info, polygon, slice, stack);
MakeCorner(info, polygon, slice + 1, stack + 1);
MakeCorner(info, polygon, slice, stack + 1);
Vector2 t1 = info.pointTexcoords[GetPoint(info, slice, stack)];
Vector2 t2 = info.pointTexcoords[GetPoint(info, slice + 1, stack)];
Vector2 averageTexcoord = (t1 + t2) / 2.0f;
info.cornerTexcoords[tip] = averageTexcoord;
}
else
{
MakeCorner(info, polygon, slice + 1, stack + 1);
MakeCorner(info, polygon, slice, stack + 1);
MakeCorner(info, polygon, slice, stack);
MakeCorner(info, polygon, slice + 1, stack);
}
}
}
BuildEdges();
}
public Cone(
double minX,
double maxX,
double bottomRadius,
double topRadius,
bool useBottom,
bool useTop,
int sliceCount,
int stackDivision
)
{
MakeInfo info = new MakeInfo(minX, maxX, bottomRadius, topRadius, useBottom, useTop, sliceCount, stackDivision);
info.pointLocations = PointAttributes.FindOrCreate <Vector3>("point_locations");
info.pointNormals = PointAttributes.FindOrCreate <Vector3>("point_normals");
info.pointTexcoords = PointAttributes.FindOrCreate <Vector2>("point_texcoords");
info.polygonCentroids = PolygonAttributes.FindOrCreate <Vector3>("polygon_centroids");
info.polygonNormals = PolygonAttributes.FindOrCreate <Vector3>("polygon_normals");
info.cornerNormals = CornerAttributes.FindOrCreate <Vector3>("corner_normals");
info.cornerTexcoords = CornerAttributes.FindOrCreate <Vector2>("corner_texcoords");
/* Other vertices */
for (int slice = 0; slice <= sliceCount; ++slice)
{
double relSlice = (double)slice / (double)sliceCount;
for (int stack = -stackDivision - info.bottomNotSingular; stack <= stackDivision + info.topNotSingular; ++stack)
{
double relStack = (double)stack / (double)(stackDivision + 1);
info.points[new KeyValuePair <int, int>(slice, stack)] = ConePoint(info, relSlice, relStack);
}
}
/* Bottom parts */
if (bottomRadius == 0.0)
{
info.bottom = MakePoint(minX, 0.0, 0.0); /* apex */
for (int slice = 0; slice < sliceCount; ++slice)
{
int stack = -stackDivision; // second last stack, bottom is -stackDivision - 1
double relSliceCentroid = ((double)slice + 0.5) / (double)sliceCount;
double relStackCentroid = -1.0 + (0.5 / (double)(stackDivision + 1));
Point centroid = ConePoint(info, relSliceCentroid, relStackCentroid);
Polygon polygon = MakePolygon();
MakeCorner(info, polygon, slice + 1, stack);
MakeCorner(info, polygon, slice, stack);
Corner tip = MakeCorner(info, polygon, slice, -stackDivision - 1);
Vector3 n1 = info.pointNormals[GetPoint(info, slice, stack)];
Vector3 n2 = info.pointNormals[GetPoint(info, slice + 1, stack)];
Vector3 averageNormal = Vector3.Normalize(n1 + n2);
info.cornerNormals[tip] = averageNormal;
Vector2 t1 = info.pointTexcoords[GetPoint(info, slice, stack)];
Vector2 t2 = info.pointTexcoords[GetPoint(info, slice + 1, stack)];
Vector2 averageTexCoord = (t1 + t2) / 2.0f;
info.cornerTexcoords[tip] = averageTexCoord;
info.polygonCentroids[polygon] = info.pointLocations[centroid];
info.polygonNormals [polygon] = info.pointNormals [centroid];
}
}
else
{
if (useBottom == true)
{
Polygon polygon = MakePolygon();
info.polygonCentroids[polygon] = new Vector3((float)minX, 0.0f, 0.0f);
info.polygonNormals [polygon] = new Vector3(-1.0f, 0.0f, 0.0f);
for (int slice = 0; slice < sliceCount; ++slice)
{
int reverseSlice = sliceCount - 1 - slice;
MakeCorner(info, polygon, reverseSlice, -stackDivision - 1, true);
}
}
}
/* Middle quads, bottom up */
for (
int stack = -stackDivision - info.bottomNotSingular;
stack < stackDivision + info.topNotSingular;
++stack
)
{
double relStackCentroid = ((double)stack + 0.5) / (double)(stackDivision + 1);
for (int slice = 0; slice < sliceCount; ++slice)
{
double relSliceCentroid = ((double)(slice) + 0.5) / (double)(sliceCount);
Point centroid = ConePoint(info, relSliceCentroid, relStackCentroid);
Polygon polygon = MakePolygon();
MakeCorner(info, polygon, slice + 1, stack + 1);
MakeCorner(info, polygon, slice, stack + 1);
MakeCorner(info, polygon, slice, stack);
MakeCorner(info, polygon, slice + 1, stack);
info.polygonCentroids[polygon] = info.pointLocations[centroid];
info.polygonNormals [polygon] = info.pointNormals [centroid];
}
}
/* Top parts */
if (topRadius == 0.0)
{
info.top = MakePoint(maxX, 0.0, 0.0); /* apex */
for (int slice = 0; slice < sliceCount; ++slice)
{
int stack = stackDivision;
double relSliceCentroid = ((double)(slice) + 0.5) / (double)(sliceCount);
double relStackCentroid = 1.0 - (0.5 / (double)(stackDivision + 1));
Point centroid = ConePoint(info, relSliceCentroid, relStackCentroid);
Polygon polygon = MakePolygon();
Corner tip = MakeCorner(info, polygon, slice, stackDivision + 1);
MakeCorner(info, polygon, slice, stack);
MakeCorner(info, polygon, slice + 1, stack);
Vector3 n1 = info.pointNormals[GetPoint(info, slice, stack)];
Vector3 n2 = info.pointNormals[GetPoint(info, slice + 1, stack)];
Vector3 averageNormal = Vector3.Normalize(n1 + n2);
info.cornerNormals[tip] = averageNormal;
Vector2 t1 = info.pointTexcoords[GetPoint(info, slice, stack)];
Vector2 t2 = info.pointTexcoords[GetPoint(info, slice + 1, stack)];
Vector2 averageTexcoord = (t1 + t2) / 2.0f;
info.cornerTexcoords[tip] = averageTexcoord;
info.polygonCentroids[polygon] = info.pointLocations[centroid];
info.polygonNormals [polygon] = info.pointNormals [centroid];
}
}
else
{
if (useTop == true)
{
Polygon polygon = MakePolygon();
info.polygonCentroids[polygon] = new Vector3((float)maxX, 0.0f, 0.0f);
info.polygonNormals [polygon] = new Vector3(1.0f, 0.0f, 0.0f);
for (int slice = 0; slice < sliceCount; ++slice)
{
MakeCorner(info, polygon, slice, stackDivision + 1, true);
}
}
}
//MergePoints();
}
public Cube(Vector3 size, IVector3 div, float p)
{
int x;
int y;
int z;
MakeInfo info = new MakeInfo(0.5f * size, div, p);
info.pointLocations = PointAttributes.FindOrCreate <Vector3>("point_locations");
info.pointNormals = PointAttributes.FindOrCreate <Vector3>("point_normals");
info.pointTexcoords = PointAttributes.FindOrCreate <Vector2>("point_texcoords");
info.cornerNormals = CornerAttributes.FindOrCreate <Vector3>("corner_normals");
info.cornerTexcoords = CornerAttributes.FindOrCreate <Vector2>("corner_texcoords");
info.polygonCentroids = PolygonAttributes.FindOrCreate <Vector3>("polygon_centroids");
info.polygonNormals = PolygonAttributes.FindOrCreate <Vector3>("polygon_normals");
// Generate vertices
// Top and bottom
for (x = -info.Div.X; x <= info.Div.X; x++)
{
float relX = 0.5f + (float)x / info.Size.X;
for (z = -info.Div.Z; z <= info.Div.Z; z++)
{
float relZ = 0.5f + (float)z / info.Size.Z;
MakePoint(info, x, info.Div.Y, z, Vector3.UnitY, relX, relZ);
MakePoint(info, x, -info.Div.Y, z, -Vector3.UnitY, relX, relZ);
}
for (y = -info.Div.Y; y <= info.Div.Y; y++)
{
float relY = 0.5f + (float)y / info.Size.Y;
MakePoint(info, x, y, info.Div.Z, Vector3.UnitZ, relX, relY);
MakePoint(info, x, y, -info.Div.Z, -Vector3.UnitZ, relX, relY);
}
}
// Left and right
for (z = -info.Div.Z; z <= info.Div.Z; z++)
{
float relZ = 0.5f + (float)z / info.Size.Z;
for (y = -info.Div.Y; y <= info.Div.Y; y++)
{
float relY = 0.5f + (float)y / info.Size.Y;
MakePoint(info, info.Div.X, y, z, Vector3.UnitX, relY, relZ);
MakePoint(info, -info.Div.X, y, z, -Vector3.UnitX, relY, relZ);
}
}
// Generate quads
// Top and bottom
for (x = -info.Div.X; x < info.Div.X; x++)
{
float relX1 = 0.5f + (float)x / info.Size.X;
float relX2 = 0.5f + (float)(x + 1) / info.Size.X;
for (z = -info.Div.Z; z < info.Div.Z; z++)
{
float relZ1 = 0.5f + (float)z / info.Size.Z;
float relZ2 = 0.5f + (float)(z + 1) / info.Size.Z;
var top = MakePolygon();
MakeCorner(info, top, x + 1, info.Div.Y, z, Vector3.UnitY, relX2, relZ1);
MakeCorner(info, top, x + 1, info.Div.Y, z + 1, Vector3.UnitY, relX2, relZ2);
MakeCorner(info, top, x, info.Div.Y, z + 1, Vector3.UnitY, relX1, relZ2);
MakeCorner(info, top, x, info.Div.Y, z, Vector3.UnitY, relX1, relZ1);
var bottom = MakePolygon();
MakeCorner(info, bottom, x, -info.Div.Y, z, -Vector3.UnitY, relX1, relZ1);
MakeCorner(info, bottom, x, -info.Div.Y, z + 1, -Vector3.UnitY, relX1, relZ2);
MakeCorner(info, bottom, x + 1, -info.Div.Y, z + 1, -Vector3.UnitY, relX2, relZ2);
MakeCorner(info, bottom, x + 1, -info.Div.Y, z, -Vector3.UnitY, relX2, relZ1);
info.polygonNormals[top] = Vector3.UnitY;
info.polygonNormals[bottom] = -Vector3.UnitY;
}
for (y = -info.Div.Y; y < info.Div.Y; y++)
{
float relY1 = 0.5f + (float)y / info.Size.Y;
float relY2 = 0.5f + (float)(y + 1) / info.Size.Y;
var back = MakePolygon();
MakeCorner(info, back, x, y, info.Div.Z, Vector3.UnitZ, relX1, relY1);
MakeCorner(info, back, x, y + 1, info.Div.Z, Vector3.UnitZ, relX1, relY2);
MakeCorner(info, back, x + 1, y + 1, info.Div.Z, Vector3.UnitZ, relX2, relY2);
MakeCorner(info, back, x + 1, y, info.Div.Z, Vector3.UnitZ, relX2, relY1);
var front = MakePolygon();
MakeCorner(info, front, x + 1, y, -info.Div.Z, -Vector3.UnitZ, relX2, relY1);
MakeCorner(info, front, x + 1, y + 1, -info.Div.Z, -Vector3.UnitZ, relX2, relY2);
MakeCorner(info, front, x, y + 1, -info.Div.Z, -Vector3.UnitZ, relX1, relY2);
MakeCorner(info, front, x, y, -info.Div.Z, -Vector3.UnitZ, relX1, relY1);
info.polygonNormals[back] = Vector3.UnitZ;
info.polygonNormals[front] = -Vector3.UnitZ;
}
}
// Left and right
for (z = -info.Div.Z; z < info.Div.Z; z++)
{
float relZ1 = 0.5f + (float)z / info.Size.Z;
float relZ2 = 0.5f + (float)(z + 1) / info.Size.Z;
for (y = -info.Div.Y; y < info.Div.Y; y++)
{
float relY1 = 0.5f + (float)y / info.Size.Y;
float relY2 = 0.5f + (float)(y + 1) / info.Size.Y;
var right = MakePolygon();
MakeCorner(info, right, info.Div.X, y, z, Vector3.UnitX, relY1, relZ1);
MakeCorner(info, right, info.Div.X, y, z + 1, Vector3.UnitX, relY1, relZ2);
MakeCorner(info, right, info.Div.X, y + 1, z + 1, Vector3.UnitX, relY2, relZ2);
MakeCorner(info, right, info.Div.X, y + 1, z, Vector3.UnitX, relY2, relZ1);
var left = MakePolygon();
MakeCorner(info, left, -info.Div.X, y + 1, z, -Vector3.UnitX, relY2, relZ1);
MakeCorner(info, left, -info.Div.X, y + 1, z + 1, -Vector3.UnitX, relY2, relZ2);
MakeCorner(info, left, -info.Div.X, y, z + 1, -Vector3.UnitX, relY1, relZ2);
MakeCorner(info, left, -info.Div.X, y, z, -Vector3.UnitX, relY1, relZ1);
info.polygonNormals[right] = Vector3.UnitX;
info.polygonNormals[left] = -Vector3.UnitX;
}
}
ComputePolygonCentroids();
}