public static void Remove(IList <sFace> list, sFace face) { //if(face->l[1]) face->l[1]->l[0]=face->l[0]; //if(face->l[0]) face->l[0]->l[1]=face->l[1]; //if(face==list.root) list.root=face->l[1]; //--list.count; list.Remove(face); }
public static void Append(IList <sFace> list, sFace face) { //face.l[0] = null; //face.l[1] = list[0]; //if(list.Count > 0) //{ // list[0].l[0]=face; //} //list.root = face; //++list.count; list.Add(face); }
public sFace NewFace(sSV a, sSV b, sSV c, bool forced) { if (m_stock.Count > 0) { sFace face = m_stock[0]; Remove(m_stock, face); Append(m_hull, face); face.pass = 0; face.c[0] = a; face.c[1] = b; face.c[2] = c; face.n = IndexedVector3.Cross(b.w - a.w, c.w - a.w); float l = face.n.Length(); bool v = l > GjkEpaSolver2.EPA_ACCURACY; face.p = Math.Min(Math.Min( IndexedVector3.Dot(a.w, IndexedVector3.Cross(face.n, a.w - b.w)), IndexedVector3.Dot(b.w, IndexedVector3.Cross(face.n, b.w - c.w))), IndexedVector3.Dot(c.w, IndexedVector3.Cross(face.n, c.w - a.w))) / (v?l:1); face.p = face.p >= -GjkEpaSolver2.EPA_INSIDE_EPS ? 0 : face.p; if (v) { face.d = IndexedVector3.Dot(ref a.w, ref face.n) / l; face.n /= l; if (forced || (face.d >= -GjkEpaSolver2.EPA_PLANE_EPS)) { return(face); } else { m_status = eStatus.NonConvex; } } else { m_status = eStatus.Degenerated; } Remove(m_hull, face); Append(m_stock, face); return(null); } m_status = m_stock.Count > 0?eStatus.OutOfVertices:eStatus.OutOfFaces; return(null); }
public sFace FindBest() { sFace minf = m_hull[0]; float mind = minf.d * minf.d; float maxp = minf.p; //for(sFace f=minf.l[1];f != null;f=f.l[1]) for (int i = 0; i < m_hull.Count; ++i) { sFace f = m_hull[i]; float sqd = f.d * f.d; if ((f.p >= maxp) && (sqd < mind)) { minf = f; mind = sqd; maxp = f.p; } } return(minf); }
public bool Expand(uint pass, sSV w, sFace f, uint e, ref sHorizon horizon) { if (f.pass != pass) { uint e1 = i1m3[e]; if ((IndexedVector3.Dot(ref f.n, ref w.w) - f.d) < -GjkEpaSolver2.EPA_PLANE_EPS) { sFace nf = NewFace(f.c[e1], f.c[e], w, false); if (nf != null) { Bind(nf, 0, f, e); if (horizon.cf != null) { Bind(horizon.cf, 1, nf, 2); } else { horizon.ff = nf; } horizon.cf = nf; ++horizon.nf; return(true); } } else { uint e2 = i2m3[e]; f.pass = (uint)pass; if (Expand(pass, w, f.f[e1], f.e[e1], ref horizon) && Expand(pass, w, f.f[e2], f.e[e2], ref horizon)) { Remove(m_hull, f); Append(m_stock, f); return(true); } } } return(false); }
public void Initialize() { m_status = eStatus.Failed; m_normal = IndexedVector3.Zero; m_depth = 0; m_nextsv = 0; m_result = new sSimplex(); for (int i = 0; i < m_sv_store.Length; ++i) { m_sv_store[i] = new sSV(); } for (int i = 0; i < m_fc_store.Length; ++i) { m_fc_store[i] = new sFace(); } for (int i = 0; i < GjkEpaSolver2.EPA_MAX_FACES; ++i) { Append(m_stock, m_fc_store[GjkEpaSolver2.EPA_MAX_FACES - i - 1]); } }
public eStatus Evaluate(GJK gjk, ref IndexedVector3 guess) { sSimplex simplex = gjk.m_simplex; if ((simplex.rank > 1) && gjk.EncloseOrigin()) { /* Clean up */ while (m_hull.Count > 0) { sFace f = m_hull[0]; Remove(m_hull, f); Append(m_stock, f); } m_status = eStatus.Valid; m_nextsv = 0; /* Orient simplex */ if (GJK.Det(simplex.c[0].w - simplex.c[3].w, simplex.c[1].w - simplex.c[3].w, simplex.c[2].w - simplex.c[3].w) < 0) { SwapSv(simplex.c, 0, 1); SwapFloat(simplex.p, 0, 1); } /* Build initial hull */ tetra[0] = NewFace(simplex.c[0], simplex.c[1], simplex.c[2], true); tetra[1] = NewFace(simplex.c[1], simplex.c[0], simplex.c[3], true); tetra[2] = NewFace(simplex.c[2], simplex.c[1], simplex.c[3], true); tetra[3] = NewFace(simplex.c[0], simplex.c[2], simplex.c[3], true); if (m_hull.Count == 4) { sFace best = FindBest(); sFace outer = best; uint pass = 0; uint iterations = 0; Bind(tetra[0], 0, tetra[1], 0); Bind(tetra[0], 1, tetra[2], 0); Bind(tetra[0], 2, tetra[3], 0); Bind(tetra[1], 1, tetra[3], 2); Bind(tetra[1], 2, tetra[2], 1); Bind(tetra[2], 2, tetra[3], 1); m_status = eStatus.Valid; for (; iterations < GjkEpaSolver2.EPA_MAX_ITERATIONS; ++iterations) { if (m_nextsv < GjkEpaSolver2.EPA_MAX_VERTICES) { sHorizon horizon = new sHorizon(); sSV w = m_sv_store[m_nextsv++]; bool valid = true; best.pass = (uint)(++pass); gjk.GetSupport(ref best.n, ref w); float wdist = IndexedVector3.Dot(ref best.n, ref w.w) - best.d; if (wdist > GjkEpaSolver2.EPA_ACCURACY) { for (int j = 0; (j < 3) && valid; ++j) { valid &= Expand(pass, w, best.f[j], best.e[j], ref horizon); } if (valid && (horizon.nf >= 3)) { Bind(horizon.cf, 1, horizon.ff, 2); Remove(m_hull, best); Append(m_stock, best); best = FindBest(); if (best.p >= outer.p) { outer = best; } } else { m_status = eStatus.InvalidHull; break; } } else { m_status = eStatus.AccuraryReached; break; } } else { m_status = eStatus.OutOfVertices; break; } } IndexedVector3 projection = outer.n * outer.d; m_normal = outer.n; m_depth = outer.d; m_result.rank = 3; m_result.c[0] = outer.c[0]; m_result.c[1] = outer.c[1]; m_result.c[2] = outer.c[2]; m_result.p[0] = IndexedVector3.Cross(outer.c[1].w - projection, outer.c[2].w - projection).Length(); m_result.p[1] = IndexedVector3.Cross(outer.c[2].w - projection, outer.c[0].w - projection).Length(); m_result.p[2] = IndexedVector3.Cross(outer.c[0].w - projection, outer.c[1].w - projection).Length(); float sum = m_result.p[0] + m_result.p[1] + m_result.p[2]; m_result.p[0] /= sum; m_result.p[1] /= sum; m_result.p[2] /= sum; return(m_status); } } /* Fallback */ m_status = eStatus.FallBack; m_normal = -guess; float nl = m_normal.LengthSquared(); if (nl > 0) { m_normal.Normalize(); } else { m_normal = new IndexedVector3(1, 0, 0); } m_depth = 0; m_result.rank = 1; m_result.c[0] = simplex.c[0]; m_result.p[0] = 1; return(m_status); }
public static void Bind(sFace fa, uint ea, sFace fb, uint eb) { fa.e[ea] = (uint)eb; fa.f[ea] = fb; fb.e[eb] = (uint)ea; fb.f[eb] = fa; }