public Cone(Transform o2w, Transform w2o, bool ro, float height, float rad, float tm)
: base(o2w, w2o, ro)
{
Radius = rad;
Height = height;
PhiMax = MathHelper.ToRadians(MathHelper.Clamp(tm, 0, 360.0f));
}
public Quaternion(Transform t)
{
Matrix4x4 m = t.Matrix;
float trace = m[0, 0] + m[1, 1] + m[2, 2];
if (trace > 0.0f)
{
float s = MathHelper.Sqrt(trace + 1.0f);
_w = s / 2.0f;
s = 0.5f / s;
_x = (m[2, 1] - m[1, 2]) * s;
_y = (m[0, 2] - m[2, 0]) * s;
_z = (m[1, 0] - m[0, 1]) * s;
}
else
{
int[] nxt = { 1, 2, 0 };
float[] q = new float[3];
int i = 0;
if (m[1, 1] > m[0, 0]) i = 1;
if (m[2, 2] > m[i, i]) i = 2;
int j = nxt[i];
int k = nxt[j];
float s = MathHelper.Sqrt((m[i, i] - (m[j, j] + m[k, k])) + 1.0f);
q[i] = s * 0.5f;
if (s != 0.0f) s = 0.5f / s;
_w = (m[k, j] - m[j, k]) * s;
q[j] = (m[j, i] + m[i, j]) * s;
q[k] = (m[k, i] + m[i, k]) * s;
_x = q[0];
_y = q[1];
_z = q[2];
}
}
public TriangleMesh(Transform o2w, Transform w2o, bool ro, int nt,
int nv, int[] vi, Point[] P, Normal[] N,
Vector[] S, float[] uv, Texture<float> atex)
: base(o2w, w2o, ro)
{
alphaTexture = atex;
ntris = nt;
nverts = nv;
MathHelper.Copy<int>(ref vertexIndex, ref vi);
if (uv != null)
{
MathHelper.Copy<float>(ref uvs, ref uv);
}
else
uvs = null;
if (N != null)
{
MathHelper.Copy<Normal>(ref n, ref N);
}
else n = null;
if (S != null)
{
MathHelper.Copy<Vector>(ref s, ref S);
}
else s = null;
for (int i = 0; i < nverts; ++i)
p[i] = (ObjectToWorld)[P[i]];
}
public Paraboloid(Transform o2w, Transform w2o, bool ro, float rad, float z0, float z1, float tm)
: base(o2w, w2o, ro)
{
Radius = rad;
ZMin = z0;
ZMax = z1;
PhiMax = MathHelper.ToRadians(MathHelper.Clamp(tm, 0, 360));
}
public Shape(Transform o2w, Transform w2o, bool ro)
{
otw = o2w;
wto = w2o;
RO = ro;
tsh = o2w.SwitchHandedness();
shapeId = NextShapeId++;
}
public Disk(Transform o2w, Transform w2o, bool ro, float ht, float r, float ri, float tmax)
: base(o2w, w2o, ro)
{
Height = ht;
InnerRadius = ri;
Radius = r;
PhiMax = MathHelper.ToRadians(MathHelper.Clamp(tmax, 0, 360f));
}
public Cylinder(Transform o2w, Transform w2o, bool ro, float rad, float z0, float z1, float pm)
: base(o2w, w2o, ro)
{
Radius = rad;
ZMin = MathHelper.Min(z0, z1);
ZMax = MathHelper.Max(z0, z1);
PhiMax = MathHelper.ToRadians(MathHelper.Clamp(pm, 0.0f, 360.0f));
}
public Triangle(Transform o2w, Transform w2o, bool ro, TriangleMesh m, int n)
: base(o2w, w2o, ro)
{
mesh = m;
int i = 3 * n;
v[0] = mesh.vertexIndex[i];
v[1] = mesh.vertexIndex[i+1];
v[2] = mesh.vertexIndex[i+2];
}
public Sphere(Transform o2w, Transform w2o, bool ro, float rad, float z0, float z1, float pm)
: base(o2w, w2o, ro)
{
Radius = rad;
zmin = MathHelper.Clamp(MathHelper.Min(z0, z1), -Radius, Radius);
zmax = MathHelper.Clamp(MathHelper.Max(z0, z1), -Radius, Radius);
thetaMin = MathHelper.Acos(MathHelper.Clamp(zmin / Radius, -1.0f, 1.0f));
thetaMax = MathHelper.Acos(MathHelper.Clamp(zmax / Radius, -1.0f, 1.0f));
phiMax = MathHelper.ToRadians(MathHelper.Clamp(pm, 0.0f, 360.0f));
}
public Hyperboloid(Transform o2w, Transform w2o, bool ro, Point point1, Point point2, float tm)
: base(o2w, w2o, ro)
{
p1 = point1;
p2 = point2;
phiMax = MathHelper.ToRadians(MathHelper.Clamp(tm, 0.0f, 360.0f));
float radius1 = MathHelper.Sqrt(p1.X * p1.X + p1.Y * p1.Y);
float radius2 = MathHelper.Sqrt(p2.X * p2.X + p2.Y * p2.Y);
rmax = MathHelper.Max(radius1, radius2);
zmin = MathHelper.Min(p1.Z, p2.Z);
zmax = MathHelper.Max(p1.Z, p2.Z);
if (p2.Z == 0) MathHelper.Swap<Point>(ref p1, ref p2);
Point pp = p1;
float xy1, xy2;
do
{
pp += 2.0f * (p2 - p1);
xy1 = pp.X * pp.X + pp.Y * pp.Y;
xy2 = p2.X * p2.X + p2.Y * p2.Y;
a = (1.0f / xy1 - (pp.Z * pp.Z) / (xy1 * p2.Z * p2.Z)) /
(1 - (xy2 * pp.Z * pp.Z) / (xy1 * p2.Z * p2.Z));
c = (a * xy2 - 1) / (p2.Z * p2.Z);
} while (float.IsInfinity(a) || float.IsNaN(a));
}
public static Transform Transpose(Transform t)
{
t.Transpose();
return t;
}
public static Transform Inverse(Transform t)
{
t.Inverse();
return t;
}
public Vector this[float time, Vector v]
{
get
{
if (!actuallyAnimated || time <= startTime)
return (startTransform)[v];
else if (time >= endTime)
return (endTransform)[v];
Transform t = new Transform();
Interpolate(time, t);
return t[v];
}
}
public Point this[float time, Point p]
{
get
{
if (!actuallyAnimated || time <= startTime)
return (startTransform)[p];
else if (time >= endTime)
return (endTransform)[p];
Transform t = new Transform();
Interpolate(time, t);
return t[p];
}
}
public LoopSubDiv(Transform o2w, Transform w2o, bool ro, int nfaces, int nvertices, int[] vi, Point[] P, int nl)
: base(o2w, w2o, ro)
{
nLevels = nl;
int i;
Pointer<SDVertex> verts = Pointer<SDVertex>.Allocate(nvertices);
for (i = 0; i < nvertices; ++i)
{
verts[i] = new SDVertex(P[i]);
vertices.Add((verts + i));
}
Pointer<SDFace> fs = Pointer<SDFace>.Allocate(nfaces);
for (i = 0; i < nfaces; ++i)
{
faces.Add((fs + i));
}
int c = 0;
for (i = 0; i < nfaces; ++i)
{
Pointer<SDFace> f = faces[i];
for (int j = 0; j < 3; j++)
{
Pointer<SDVertex> v = vertices[vi[c + j]];
f[0].v[j] = v;
v[0].SetStartFace(f);
}
c += 3;
}
List<SDEdge> edges = new List<SDEdge>();
for (i = 0; i < nfaces; ++i)
{
Pointer<SDFace> f = faces[i];
for (int edgeNum = 0; edgeNum < 3; ++edgeNum)
{
int v0 = edgeNum, v1 = NEXT(edgeNum);
SDEdge e = new SDEdge(f[0].v[v0], f[0].v[v1]);
if (edges.IndexOf(e) == edges.Count - 1)
{
e.f[0] = f;
e.f0edgeNum = edgeNum;
edges.Add(e);
}
else
{
e = edges[edges.IndexOf(e)];
e.f[0][0].f[e.f0edgeNum] = f;
f[0].f[edgeNum] = e.f[0];
edges.Remove(e);
}
}
}
}
public BBox MotionBounds(BBox b, bool useInverse)
{
if (!actuallyAnimated) return Transform.Inverse(startTransform)[b];
BBox ret = new BBox();
int nSteps = 128;
for (int i = 0; i < nSteps; ++i)
{
Transform t = new Transform();
float time = MathHelper.Lerp(((float)i) / ((float)nSteps - 1), startTime, endTime);
Interpolate(time, t);
if (useInverse) t = Transform.Inverse(t);
ret = BBox.Union(ret, t[b]);
}
return ret;
}
public AnimatedTransform(Transform t1, float time1, Transform t2, float time2)
{
startTime = time1;
endTime = time2;
startTransform = t1;
endTransform = t2;
actuallyAnimated = t1 != t2;
Decompose(startTransform.Matrix, out T[0], out R[0], out S[0]);
Decompose(startTransform.Matrix, out T[1], out R[1], out S[1]);
}
public virtual void GetShadingGeometry(Transform obj2world, DifferentialGeometry dg, Pointer<DifferentialGeometry> dgShading)
{
dgShading[0] = dg;
}
public RayDifferential this[RayDifferential r]
{
get
{
RayDifferential tr = new RayDifferential();
if (!actuallyAnimated || r.Time <= startTime)
tr = (startTransform)[r];
else if (r.Time >= endTime)
tr = (endTransform)[r];
else
{
Transform t = new Transform();
Interpolate(r.Time, t);
tr = t[r];
}
tr.Time = r.Time;
return tr;
}
}
public void Interpolate(float time, Transform t)
{
if (!actuallyAnimated || time <= startTime)
{
t = startTransform;
return;
}
if (time >= endTime)
{
t = endTransform;
return;
}
float dt = (time - startTime) / (endTime - startTime);
Vector trans = (1.0f - dt) * T[0] + dt * T[1];
Quaternion rotate = Quaternion.Slerp(dt, R[0], R[1]);
Matrix4x4 scale = new Matrix4x4();
for (int i = 0; i < 3; ++i)
for (int j = 0; j < 3; ++j)
scale[i, j] = MathHelper.Lerp(dt, S[0][i, j], S[1][i, j]);
t = Transform.Translate(trans) * rotate.ToTransform() * new Transform(scale);
}
public override void GetShadingGeometry(Transform obj2world, DifferentialGeometry dg, Pointer<DifferentialGeometry> dgShading)
{
if (mesh.n == null && mesh.s == null)
{
dgShading[0] = dg;
return;
}
float[] b = new float[3];
float[][] uv = new float[3][];
uv[0] = new float[2];
uv[1] = new float[2];
uv[2] = new float[2];
GetUVs(uv);
float[][] A = { new float[2]
{ uv[1][0] - uv[0][0], uv[2][0] - uv[0][0] },
new float[2]
{ uv[1][1] - uv[0][1], uv[2][1] - uv[0][1] }
};
float[] C = { dg.u - uv[0][0], dg.v - uv[0][1] };
if (!Transform.SolveLinearSystem2x2(A, C, ref b[1], ref b[2]))
{
b[0] = b[1] = b[2] = 1.0f / 3.0f;
}
else
b[0] = 1.0f - b[1] - b[2];
Normal ns;
Vector ss, ts;
if (mesh.n != null) ns = Normal.Normalize(obj2world[b[0] * mesh.n[v[0]] +
b[1] * mesh.n[v[1]] +
b[2] * mesh.n[v[2]]]);
else ns = dg.nn;
if (mesh.s != null) ss = Vector.Normalize(obj2world[b[0] * mesh.s[v[0]] +
b[1] * mesh.s[v[1]] +
b[2] * mesh.s[v[2]]]);
else ss = Vector.Normalize(dg.dpdu);
ts = Vector.Cross(ss, ns);
if (ts.SquaredMagnitude > 0.0f)
{
ts = Vector.Normalize(ts);
ss = Vector.Cross(ts, ns);
}
else
Extensions.CoordinateSystem((Vector)ns, out ss, out ts);
Normal dndu, dndv;
if (mesh.n != null)
{
float[][] uvs = new float[3][];
uvs[0] = new float[2];
uvs[1] = new float[2];
uvs[2] = new float[2];
GetUVs(uvs);
float du1 = uvs[0][0] - uvs[2][0];
float du2 = uvs[1][0] - uvs[2][0];
float dv1 = uvs[0][1] - uvs[2][1];
float dv2 = uvs[1][1] - uvs[2][1];
Normal dn1 = mesh.n[v[0]] - mesh.n[v[2]];
Normal dn2 = mesh.n[v[1]] - mesh.n[v[2]];
float determinant = du1 * dv2 - dv1 * du2;
if (determinant == 0.0f)
dndu = dndv = new Normal(0, 0, 0);
else
{
float invdet = 1.0f / determinant;
dndu = ((dv2 * dn1 - dv1 * dn2) * invdet);
dndv = ((-du2 * dn1 + du1 * dn2) * invdet);
}
}
else
dndu = dndv = new Normal(0, 0, 0);
dgShading[0] = new DifferentialGeometry(dg.p, ss, ts, (ObjectToWorld)[dndu], (ObjectToWorld)[dndv],
dg.u, dg.v, dg.shape);
dgShading[0].Setdudx(dg.dudx);
dgShading[0].Setdvdx(dg.dvdx);
dgShading[0].Setdudy(dg.dudy);
dgShading[0].Setdvdy(dg.dvdy);
dgShading[0].Setdpdx(dg.dpdx);
dgShading[0].Setdpdy(dg.dpdy);
}