void ThreadedSphere(object d)
{
int DetailLevel = SphereDetail;
if (DetailLevel < 1)
{
DetailLevel = 1;
}
List <Vector3> verts = new List <Vector3>();
List <Vector2> uvs = new List <Vector2>();
List <int> tris = new List <int>();
int index = 0;
List <Vector3> PointTriplets = new List <Vector3>();
// phi = (1 + root(5)) / 2 = 1.6180339887498948482045868343656
float high = (1f + Mathf.Sqrt(5)) / 2f;
float low = 1.0f;
float zero = 0.0f;
float[] settings = new float[3] {
zero, low, high
};
// generate the main points
// z is forward. So...I don't know.
// 0, +-1, +- phi
// using detail level, produce loops for faces.
/*
* POINTS ON UNIQUE RECTANGLES
* We take any point.
* eg. P1(h,z,l)
* We fork, raising z to high in both positive and negative.
* Low axis goes to zero.
* High axis goes to low.
* eg. P2a(l,+h,z) P2b(1,-h, z)
* Low goes to zero.
* eg. P3a(z,+l,h) P3b(z,-l,h)
*/
// we should take the y = 0 rectangle, and generate the 8 faces from it's 4 points
Vector3[] set = new Vector3[4] {
new Vector3(1, 0, 2),
new Vector3(1, 0, -2),
new Vector3(-1, 0, -2),
new Vector3(-1, 0, 2)
};
Vector3 upperorigin = Vector3.zero, upperleft = Vector3.zero, upperright = Vector3.zero, lowerorigin = Vector3.zero, lowerleft = Vector3.zero, lowerright = Vector3.zero;
for (int i = 0; i < 4; i++)
{
// do lower y triangle first.
// this triangle points up.
lowerorigin = new Vector3(set[i].x, set[i].y, set[i].z);
// high to low, low to zero, zero to high [lower fork]
lowerleft.x = Mathf.Sign(lowerorigin.x) * ((Mathf.Abs(lowerorigin.x) - 1 < 0) ? (Mathf.Sign(lowerorigin.x) * 2) : (Mathf.Abs(lowerorigin.x) - 1));
lowerleft.y = Mathf.Sign(lowerorigin.y) * ((Mathf.Abs(lowerorigin.y) - 1 < 0) ? (-2) : (Mathf.Abs(lowerorigin.y) - 1));
lowerleft.z = Mathf.Sign(lowerorigin.z) * ((Mathf.Abs(lowerorigin.z) - 1 < 0) ? (Mathf.Sign(lowerorigin.z) * 2) : (Mathf.Abs(lowerorigin.z) - 1));
// eg. P1(h,z,l)
lowerright.x = Mathf.Sign(lowerorigin.x) * ((Mathf.Abs(lowerleft.x) - 1 < 0) ? (2) : (Mathf.Abs(lowerleft.x) - 1));
lowerright.y = Mathf.Sign(lowerleft.y) * ((Mathf.Abs(lowerleft.y) - 1 < 0) ? (-2) : (Mathf.Abs(lowerleft.y) - 1));
lowerright.z = Mathf.Sign(lowerorigin.z) * ((Mathf.Abs(lowerleft.z) - 1 < 0) ? (Mathf.Sign(lowerorigin.z) * 2) : (Mathf.Abs(lowerleft.z) - 1));
Convert2ToPhi(ref lowerorigin); Convert2ToPhi(ref lowerleft); Convert2ToPhi(ref lowerright);
PointTriplets.Add(lowerorigin);
PointTriplets.Add(lowerleft);
PointTriplets.Add(lowerright);
// begin upper triangles
// this triangle points up.
upperorigin = new Vector3(set[i].x, set[i].y, set[i].z);
// these calculations are chained, and thus don't do well in their own functions.
// high to low, low to zero, zero to high [upper fork]
upperleft.x = Mathf.Sign(upperorigin.x) * ((Mathf.Abs(upperorigin.x) - 1 < 0) ? (Mathf.Sign(upperorigin.x) * 2) : (Mathf.Abs(upperorigin.x) - 1));
upperleft.y = Mathf.Sign(upperorigin.y) * ((Mathf.Abs(upperorigin.y) - 1 < 0) ? (2) : (Mathf.Abs(upperorigin.y) - 1));
upperleft.z = Mathf.Sign(upperorigin.z) * ((Mathf.Abs(upperorigin.z) - 1 < 0) ? (Mathf.Sign(upperorigin.z) * 2) : (Mathf.Abs(upperorigin.z) - 1));
// eg. P1(h,z,l)
upperright.x = Mathf.Sign(upperorigin.x) * ((Mathf.Abs(upperleft.x) - 1 < 0) ? (2) : (Mathf.Abs(upperleft.x) - 1));
upperright.y = Mathf.Sign(upperleft.y) * ((Mathf.Abs(upperleft.y) - 1 < 0) ? (2) : (Mathf.Abs(upperleft.y) - 1));
upperright.z = Mathf.Sign(upperorigin.z) * ((Mathf.Abs(upperleft.z) - 1 < 0) ? (Mathf.Sign(upperorigin.z) * 2) : (Mathf.Abs(upperleft.z) - 1));
Convert2ToPhi(ref upperorigin); Convert2ToPhi(ref upperleft); Convert2ToPhi(ref upperright);
PointTriplets.Add(upperorigin);
PointTriplets.Add(upperright);
PointTriplets.Add(upperleft);
}
/*
* END OF POINTS ON UNIQUE RECTANGLES ALGORITHM
*/
/*
* BEGIN PAIRED POINTS ALGORITHM
*/
set = new Vector3[12] {
new Vector3(1, 0, 2), new Vector3(1, 0, -2), new Vector3(-1, 0, -2), new Vector3(-1, 0, 2),
new Vector3(2, 1, 0), new Vector3(-2, 1, 0), new Vector3(-2, -1, 0), new Vector3(2, -1, 0),
new Vector3(0, 2, 1), new Vector3(0, -2, 1), new Vector3(0, -2, -1), new Vector3(0, 2, -1)
};
Vector3 origin = Vector3.zero, leftpoint = Vector3.zero, rightpoint = Vector3.zero;
for (int i = 0; i < set.Length; i++)
{
origin = new Vector3(set[i].x, set[i].y, set[i].z);
leftpoint = PairedPoint(origin, true);
rightpoint = PairedPoint(origin, false);
Convert2ToPhi(ref origin); Convert2ToPhi(ref leftpoint); Convert2ToPhi(ref rightpoint);
PointTriplets.Add(origin);
PointTriplets.Add(leftpoint);
PointTriplets.Add(rightpoint);
}
// prepare tesselation verts for each point triplets.
for (int i = 0; i < PointTriplets.Count / 3; i++)
{
origin = PointTriplets[i * 3];
leftpoint = PointTriplets[i * 3 + 1];
rightpoint = PointTriplets[i * 3 + 2];
Vector3 leftstep = (leftpoint - origin) / DetailLevel;
Vector3 rightstep = (rightpoint - origin) / DetailLevel;
bool oddTriangle = false; // odd triangles are upside down.
Vector3 myOrigin, leftfoot, rightfoot, temp;
bool faceValue;
for (int row = 0; row < DetailLevel; row++)
{
myOrigin = origin + row * leftstep;
leftfoot = myOrigin + leftstep;
rightfoot = myOrigin + rightstep;
// determine clockwise order for tri.
// honestly, no idea how I came to this.
faceValue = (Mathf.Sign(origin.x) * Mathf.Sign(origin.z) == ((origin.y != 0) ? (Mathf.Sign(origin.y)) : (1)));
for (int n = 0; n < 1 + 2 * row; n++)
{
// Debug.Log("triangle #" + (n + 1) + " m: " + myOrigin + " l: " + leftfoot + " r:" + rightfoot);
index = verts.Count;
verts.Add(myOrigin);
verts.Add(leftfoot);
verts.Add(rightfoot);
// Wizard shit. Seriously. No idea. It just works.
if (!faceValue)
{
tris.Add(index); tris.Add(index + 2); tris.Add(index + 1);
}
else
{
tris.Add(index); tris.Add(index + 1); tris.Add(index + 2);
}
if (oddTriangle)
{
temp = myOrigin;
myOrigin = leftfoot;
leftfoot = temp;
rightfoot = myOrigin + rightstep;
}
else
{
temp = myOrigin;
myOrigin = rightfoot;
leftfoot = myOrigin - leftstep;
rightfoot = temp;
}
oddTriangle = !oddTriangle;
}
oddTriangle = false;
}
}
// apply proper scaling.
for (int i = 0; i < verts.Count; i++)
{
Vector3 temp = verts[i];
// temp = (PhiDistanceConstant / temp.magnitude) * temp; // sets all points to the phyDistanceConstant.
temp *= (SphereRadius / temp.magnitude); // sets all points to sphere radius.
verts[i] = temp;
}
// export final verts, tris and uvs to mesh and wrap it up.
ThreadedSimpleMesh newMesh = new ThreadedSimpleMesh();
// prepare uvs based on position
for (int n = 0; n < verts.Count; n++)
{
Vector3 vert = verts[n].normalized;
Vector2 uv = Vector2.zero;
uv.x = ((Mathf.Atan2(vert.x, vert.z) / (Mathf.PI)));
uv.x = (uv.x + 1f) / 2f;
uv.y = Mathf.Acos(vert.y) / Mathf.PI;
uvs.Add(uv);
}
// solve the atan seam problem.
// crossing over the x axis, seems to produce one negative, one positive.
// this results in an ugly band where the texture repeats.
for (int n = 0; n < uvs.Count / 3; n++)
{
// if two of the uv.x disagree...
if (Mathf.Abs(uvs[3 * n].x - uvs[3 * n + 1].x) > 0.5f ||
Mathf.Abs(uvs[3 * n].x - uvs[3 * n + 2].x) > 0.5f ||
Mathf.Abs(uvs[3 * n + 1].x - uvs[3 * n + 2].x) > 0.5f)
{
// we crossed streams.
// how many are far?
int far = 0;
if (uvs[3 * n].x > 0.5f)
{
far++;
}
if (uvs[3 * n + 1].x > 0.5f)
{
far++;
}
if (uvs[3 * n + 2].x > 0.5f)
{
far++;
}
// then fix the one that is wrong.
if (far == 2)
{
for (int m = 0; m < 3; m++)
{
if (uvs[3 * n + m].x < 0.5f)
{
Vector2 uv = uvs[3 * n + m];
uv.x += 1f;
uvs[3 * n + m] = uv;
break;
}
}
}
else
{
for (int m = 0; m < 3; m++)
{
if (uvs[3 * n + m].x > 0.5f)
{
Vector2 uv = uvs[3 * n + m];
uv.x -= 1f;
uvs[3 * n + m] = uv;
break;
}
}
}
}
}
newMesh.SetVertices(verts);
newMesh.SetTriangles(tris, 0);
newMesh.SetUVs(0, uvs);
// newMesh.RecalculateBounds();
// newMesh.RecalculateNormals();
ThreadRunner.ExportData(newMesh);
ThreadRunner.MarkComplete();
}
void ThreadedSphere(object d)
{
int DetailLevel = SphereDetail;
if (DetailLevel < 1)
{
DetailLevel = 1;
}
List <Vector3> verts = new List <Vector3>();
List <Vector2> uvs = new List <Vector2>();
List <int> tris = new List <int>();
int index = 0;
Vector2 uvstep = new Vector2(1.0f / UVTileDimensions.x, 1.0f / UVTileDimensions.y);
List <Vector3> PointTriplets = new List <Vector3>();
// phi = (1 + root(5)) / 2 = 1.6180339887498948482045868343656
float high = (1f + Mathf.Sqrt(5)) / 2f;
float low = 1.0f;
float zero = 0.0f;
float[] settings = new float[3] {
zero, low, high
};
// generate the main points
// z is forward. So...I don't know.
// 0, +-1, +- phi
// using detail level, produce loops for faces.
/*
* POINTS ON UNIQUE RECTANGLES
* We take any point.
* eg. P1(h,z,l)
* We fork, raising z to high in both positive and negative.
* Low axis goes to zero.
* High axis goes to low.
* eg. P2a(l,+h,z) P2b(1,-h, z)
* Low goes to zero.
* eg. P3a(z,+l,h) P3b(z,-l,h)
*/
// we should take the y = 0 rectangle, and generate the 8 faces from it's 4 points
Vector3[] set = new Vector3[4] {
new Vector3(1, 0, 2),
new Vector3(1, 0, -2),
new Vector3(-1, 0, -2),
new Vector3(-1, 0, 2)
};
Vector3 upperorigin = Vector3.zero, upperleft = Vector3.zero, upperright = Vector3.zero, lowerorigin = Vector3.zero, lowerleft = Vector3.zero, lowerright = Vector3.zero;
int tileIndex = 0;
Vector2 uv_origin = Vector2.zero;
for (int i = 0; i < 4; i++)
{
// do lower y triangle first.
// this triangle points up.
lowerorigin = new Vector3(set[i].x, set[i].y, set[i].z);
// high to low, low to zero, zero to high [lower fork]
lowerleft.x = Mathf.Sign(lowerorigin.x) * ((Mathf.Abs(lowerorigin.x) - 1 < 0) ? (Mathf.Sign(lowerorigin.x) * 2) : (Mathf.Abs(lowerorigin.x) - 1));
lowerleft.y = Mathf.Sign(lowerorigin.y) * ((Mathf.Abs(lowerorigin.y) - 1 < 0) ? (-2) : (Mathf.Abs(lowerorigin.y) - 1));
lowerleft.z = Mathf.Sign(lowerorigin.z) * ((Mathf.Abs(lowerorigin.z) - 1 < 0) ? (Mathf.Sign(lowerorigin.z) * 2) : (Mathf.Abs(lowerorigin.z) - 1));
// eg. P1(h,z,l)
lowerright.x = Mathf.Sign(lowerorigin.x) * ((Mathf.Abs(lowerleft.x) - 1 < 0) ? (2) : (Mathf.Abs(lowerleft.x) - 1));
lowerright.y = Mathf.Sign(lowerleft.y) * ((Mathf.Abs(lowerleft.y) - 1 < 0) ? (-2) : (Mathf.Abs(lowerleft.y) - 1));
lowerright.z = Mathf.Sign(lowerorigin.z) * ((Mathf.Abs(lowerleft.z) - 1 < 0) ? (Mathf.Sign(lowerorigin.z) * 2) : (Mathf.Abs(lowerleft.z) - 1));
Convert2ToPhi(ref lowerorigin); Convert2ToPhi(ref lowerleft); Convert2ToPhi(ref lowerright);
PointTriplets.Add(lowerorigin);
PointTriplets.Add(lowerleft);
PointTriplets.Add(lowerright);
// begin upper triangles
// this triangle points up.
upperorigin = new Vector3(set[i].x, set[i].y, set[i].z);
// these calculations are chained, and thus don't do well in their own functions.
// high to low, low to zero, zero to high [upper fork]
upperleft.x = Mathf.Sign(upperorigin.x) * ((Mathf.Abs(upperorigin.x) - 1 < 0) ? (Mathf.Sign(upperorigin.x) * 2) : (Mathf.Abs(upperorigin.x) - 1));
upperleft.y = Mathf.Sign(upperorigin.y) * ((Mathf.Abs(upperorigin.y) - 1 < 0) ? (2) : (Mathf.Abs(upperorigin.y) - 1));
upperleft.z = Mathf.Sign(upperorigin.z) * ((Mathf.Abs(upperorigin.z) - 1 < 0) ? (Mathf.Sign(upperorigin.z) * 2) : (Mathf.Abs(upperorigin.z) - 1));
// eg. P1(h,z,l)
upperright.x = Mathf.Sign(upperorigin.x) * ((Mathf.Abs(upperleft.x) - 1 < 0) ? (2) : (Mathf.Abs(upperleft.x) - 1));
upperright.y = Mathf.Sign(upperleft.y) * ((Mathf.Abs(upperleft.y) - 1 < 0) ? (2) : (Mathf.Abs(upperleft.y) - 1));
upperright.z = Mathf.Sign(upperorigin.z) * ((Mathf.Abs(upperleft.z) - 1 < 0) ? (Mathf.Sign(upperorigin.z) * 2) : (Mathf.Abs(upperleft.z) - 1));
Convert2ToPhi(ref upperorigin); Convert2ToPhi(ref upperleft); Convert2ToPhi(ref upperright);
PointTriplets.Add(upperorigin);
PointTriplets.Add(upperright);
PointTriplets.Add(upperleft);
}
/*
* END OF POINTS ON UNIQUE RECTANGLES ALGORITHM
*/
/*
* BEGIN PAIRED POINTS ALGORITHM
*/
set = new Vector3[12] {
new Vector3(1, 0, 2), new Vector3(1, 0, -2), new Vector3(-1, 0, -2), new Vector3(-1, 0, 2), // this is right
new Vector3(2, 1, 0), new Vector3(-2, 1, 0), new Vector3(-2, -1, 0), new Vector3(2, -1, 0),
new Vector3(0, 2, 1), new Vector3(0, -2, 1), new Vector3(0, -2, -1), new Vector3(0, 2, -1)
};
Vector3 origin = Vector3.zero, leftpoint = Vector3.zero, rightpoint = Vector3.zero;
for (int i = 0; i < set.Length; i++)
{
origin = new Vector3(set[i].x, set[i].y, set[i].z);
leftpoint = PairedPoint(origin, true);
rightpoint = PairedPoint(origin, false);
Convert2ToPhi(ref origin); Convert2ToPhi(ref leftpoint); Convert2ToPhi(ref rightpoint);
PointTriplets.Add(origin);
PointTriplets.Add(leftpoint);
PointTriplets.Add(rightpoint);
}
for (int i = 0; i < PointTriplets.Count / 3; i++)
{
// TEXTURE CONTROL
tileIndex = i;
uv_origin = new Vector2(uvstep.x * (tileIndex % UVTileDimensions.x), 1.0f - uvstep.y * (1 + Mathf.Floor(tileIndex / UVTileDimensions.x)));
origin = PointTriplets[i * 3];
leftpoint = PointTriplets[i * 3 + 1];
rightpoint = PointTriplets[i * 3 + 2];
Vector3 leftstep = (leftpoint - origin) / DetailLevel;
Vector3 rightstep = (rightpoint - origin) / DetailLevel;
// END TEXTURE CONTROL
bool oddTriangle = false; // odd triangles are upside down.
Vector3 myOrigin, leftfoot, rightfoot, temp;
bool faceValue;
for (int row = 0; row < DetailLevel; row++)
{
myOrigin = origin + row * leftstep;
leftfoot = myOrigin + leftstep;
rightfoot = myOrigin + rightstep;
// wizard shit. No idea.
faceValue = (Mathf.Sign(origin.x) * Mathf.Sign(origin.z) == ((origin.y != 0) ? (Mathf.Sign(origin.y)) : (1)));
for (int n = 0; n < 1 + 2 * row; n++)
{
// Debug.Log("triangle #" + (n + 1) + " m: " + myOrigin + " l: " + leftfoot + " r:" + rightfoot);
index = verts.Count;
verts.Add(myOrigin);
verts.Add(leftfoot);
verts.Add(rightfoot);
// Wizard shit. Seriously. No idea. It just works.
if (!faceValue)
{
tris.Add(index); tris.Add(index + 2); tris.Add(index + 1);
}
else
{
tris.Add(index); tris.Add(index + 1); tris.Add(index + 2);
}
if (oddTriangle)
{
temp = myOrigin;
myOrigin = leftfoot;
leftfoot = temp;
rightfoot = myOrigin + rightstep;
}
else
{
temp = myOrigin;
myOrigin = rightfoot;
leftfoot = myOrigin - leftstep;
rightfoot = temp;
}
uvs.Add(new Vector2(uv_origin.x + 0.5f * uvstep.x, uv_origin.y + uvstep.y));
if (tileIndex % 2 != 0)
{
uvs.Add(new Vector2(uv_origin.x + 0f, uv_origin.y + 0f));
uvs.Add(new Vector2(uv_origin.x + uvstep.x, uv_origin.y + 0f));
}
else
{
uvs.Add(new Vector2(uv_origin.x + uvstep.x, uv_origin.y + 0f));
uvs.Add(new Vector2(uv_origin.x + 0f, uv_origin.y + 0f));
}
oddTriangle = !oddTriangle;
}
oddTriangle = false;
}
}
// apply proper scaling.
for (int i = 0; i < verts.Count; i++)
{
Vector3 temp = verts[i];
temp = (PhiDistanceConstant / temp.magnitude) * temp; // sets all points to the phyDistanceConstant.
temp = (SphereRadius / PhiDistanceConstant) * temp; // sets all points to sphere radius.
verts[i] = temp;
}
// export final verts, tris and uvs to mesh and wrap it up.
ThreadedSimpleMesh newMesh = new ThreadedSimpleMesh();
newMesh.SetVertices(verts);
newMesh.SetTriangles(tris, 0);
newMesh.SetUVs(0, uvs);
// newMesh.RecalculateBounds();
// newMesh.RecalculateNormals();
ThreadRunner.ExportData(newMesh);
ThreadRunner.MarkComplete();
}