#include "CAreaOctTree.hpp" #include "CMaterialFilter.hpp" #include "zeus/CVector2i.hpp" #include namespace urde { static bool _close_enough(float f1, float f2, float epsilon) { return std::fabs(f1 - f2) <= epsilon; } static bool BoxLineTest(const zeus::CAABox& aabb, const zeus::CLine& line, float& lT, float& hT) { zeus::simd_floats aabbMinF(aabb.min.mSimd); zeus::simd_floats aabbMaxF(aabb.max.mSimd); zeus::simd_floats lineOrigin(line.origin.mSimd); zeus::simd_floats lineDir(line.dir.mSimd); const float* aabbMin = aabbMinF.data(); const float* aabbMax = aabbMaxF.data(); const float* lorigin = lineOrigin.data(); const float* ldir = lineDir.data(); lT = -FLT_MAX; hT = FLT_MAX; for (int i = 0; i < 3; ++i) { if (_close_enough(*ldir, 0.f, 0.000099999997f)) if (*lorigin < *aabbMin || *lorigin > *aabbMax) return false; if (*ldir < 0.f) { if (*aabbMax - *lorigin < lT * *ldir) lT = (*aabbMax - *lorigin) * 1.f / *ldir; if (*aabbMin - *lorigin > hT * *ldir) hT = (*aabbMin - *lorigin) * 1.f / *ldir; } else { if (*aabbMin - *lorigin > lT * *ldir) lT = (*aabbMin - *lorigin) * 1.f / *ldir; if (*aabbMax - *lorigin < hT * *ldir) hT = (*aabbMax - *lorigin) * 1.f / *ldir; } ++aabbMin; ++aabbMax; ++lorigin; ++ldir; } return lT <= hT; } static const int SomeIndexA[] = {1, 2, 4}; static const int SomeIndexB[] = {1, 2, 0}; static const int SomeIndexC[8][8] = {{0, 1, 2, 4, 5, 6, 8, 0xA}, {0, 1, 2, 3, 5, 6, 8, 0xA}, {0, 1, 2, 4, 5, 6, 9, 0xB}, {0, 1, 2, 3, 5, 6, 9, 0xC}, {0, 1, 2, 4, 5, 7, 8, 0xD}, {0, 1, 2, 3, 5, 7, 8, 0xE}, {0, 1, 2, 4, 5, 7, 9, 0xF}, {0, 1, 2, 3, 5, 7, 9, 0xF}}; static const std::pair> SubdivIndex[16] = { {0, {0, 0, 0}}, {1, {0, 0, 0}}, {1, {1, 0, 0}}, {2, {0, 1, 0}}, {2, {1, 0, 0}}, {1, {2, 0, 0}}, {2, {0, 2, 0}}, {2, {2, 0, 0}}, {2, {2, 1, 0}}, {2, {1, 2, 0}}, {3, {0, 2, 1}}, {3, {1, 0, 2}}, {3, {0, 1, 2}}, {3, {2, 1, 0}}, {3, {2, 0, 1}}, {3, {1, 2, 0}}}; bool CAreaOctTree::Node::LineTestInternal(const zeus::CLine& line, const CMaterialFilter& filter, float lT, float hT, float maxT, const zeus::CVector3f& vec) const { float lowT = (1.f - FLT_EPSILON * 100.f) * lT; float highT = (1.f + FLT_EPSILON * 100.f) * hT; if (maxT != 0.f) { if (lowT < 0.f) lowT = 0.f; if (highT > maxT) highT = maxT; if (lowT > highT) return true; } if (x20_nodeType == ETreeType::Leaf) { TriListReference triList = GetTriangleArray(); for (u16 i = 0; i < triList.GetSize(); ++i) { CCollisionSurface triangle = x1c_owner.GetMasterListTriangle(triList.GetAt(i)); // https://en.wikipedia.org/wiki/Möller–Trumbore_intersection_algorithm // Find vectors for two edges sharing V0 zeus::CVector3f e0 = triangle.GetVert(1) - triangle.GetVert(0); zeus::CVector3f e1 = triangle.GetVert(2) - triangle.GetVert(0); // Begin calculating determinant - also used to calculate u parameter zeus::CVector3f P = line.dir.cross(e1); float det = P.dot(e0); // If determinant is near zero, ray lies in plane of triangle // or ray is parallel to plane of triangle if (std::fabs(det) < (FLT_EPSILON * 10.f)) continue; float invDet = 1.f / det; // Calculate distance from V1 to ray origin zeus::CVector3f T = line.origin - triangle.GetVert(0); // Calculate u parameter and test bound float u = invDet * T.dot(P); // The intersection lies outside of the triangle if (u < 0.f || u > 1.f) continue; // Prepare to test v parameter zeus::CVector3f Q = T.cross(e0); // Calculate T parameter and test bound float t = invDet * Q.dot(e1); if (t >= highT || t < lowT) continue; // Calculate V parameter and test bound float v = invDet * Q.dot(line.dir); if (v < 0.f || u + v > 1.f) continue; // Do material filter CMaterialList matList(triangle.GetSurfaceFlags()); if (filter.Passes(matList)) return false; } } else if (x20_nodeType == ETreeType::Branch) { if (GetChildFlags() == 0xA) // 2 leaves { for (int i = 0; i < 2; ++i) { Node child = GetChild(i); float tf1 = lT; float tf2 = hT; if (BoxLineTest(child.GetBoundingBox(), line, tf1, tf2)) if (!child.LineTestInternal(line, filter, tf1, tf2, maxT, vec)) return false; } return true; } zeus::CVector3f center = x0_aabb.center(); zeus::CVector3f r6 = line.origin + lT * line.dir; zeus::CVector3f r7 = line.origin + hT * line.dir; zeus::CVector3f r9 = vec * (center - line.origin); int r28 = 0; int r25 = 0; int r26 = 0; for (int i = 0; i < 3; ++i) { if (r6[i] >= center[i]) r28 |= SomeIndexA[i]; if (r7[i] >= center[i]) r25 |= SomeIndexA[i]; if (r9[i] < r9[SomeIndexB[i]]) r26 |= SomeIndexA[i]; } float f21 = lT; int r26b = r28; const std::pair>& idx = SubdivIndex[SomeIndexC[r26][r28 ^ r25]]; for (int i = 0; i <= idx.first; ++i) { float f22 = (i < idx.first) ? r9[idx.second[i]] : hT; if (f22 > lowT && f21 <= f22) { Node child = GetChild(r26b); if (child.x20_nodeType != ETreeType::Invalid) if (!child.LineTestInternal(line, filter, f21, f22, maxT, vec)) return false; } if (i < idx.first) r26b ^= 1 << idx.second[i]; f21 = f22; } } return true; } void CAreaOctTree::Node::LineTestExInternal(const zeus::CLine& line, const CMaterialFilter& filter, SRayResult& res, float lT, float hT, float maxT, const zeus::CVector3f& dirRecip) const { float lowT = (1.f - FLT_EPSILON * 100.f) * lT; float highT = (1.f + FLT_EPSILON * 100.f) * hT; if (maxT != 0.f) { if (lowT < 0.f) lowT = 0.f; if (highT > maxT) highT = maxT; if (lowT > highT) return; } if (x20_nodeType == ETreeType::Leaf) { TriListReference triList = GetTriangleArray(); float bestT = highT; bool foundTriangle = false; SRayResult tmpRes; for (u16 i = 0; i < triList.GetSize(); ++i) { CCollisionSurface triangle = x1c_owner.GetMasterListTriangle(triList.GetAt(i)); // https://en.wikipedia.org/wiki/Möller–Trumbore_intersection_algorithm // Find vectors for two edges sharing V0 zeus::CVector3f e0 = triangle.GetVert(1) - triangle.GetVert(0); zeus::CVector3f e1 = triangle.GetVert(2) - triangle.GetVert(0); // Begin calculating determinant - also used to calculate u parameter zeus::CVector3f P = line.dir.cross(e1); float det = P.dot(e0); // If determinant is near zero, ray lies in plane of triangle // or ray is parallel to plane of triangle if (std::fabs(det) < (FLT_EPSILON * 10.f)) continue; float invDet = 1.f / det; // Calculate distance from V1 to ray origin zeus::CVector3f T = line.origin - triangle.GetVert(0); // Calculate u parameter and test bound float u = invDet * T.dot(P); // The intersection lies outside of the triangle if (u < 0.f || u > 1.f) continue; // Prepare to test v parameter zeus::CVector3f Q = T.cross(e0); // Calculate T parameter and test bound float t = invDet * Q.dot(e1); if (t >= bestT || t < lowT) continue; // Calculate V parameter and test bound float v = invDet * Q.dot(line.dir); if (v < 0.f || u + v > 1.f) continue; // Do material filter CMaterialList matList(triangle.GetSurfaceFlags()); if (filter.Passes(matList) && t <= bestT) { bestT = t; foundTriangle = true; tmpRes.x10_surface.emplace(triangle); tmpRes.x3c_t = t; } } if (foundTriangle) { res = tmpRes; res.x0_plane = res.x10_surface->GetPlane(); } } else if (x20_nodeType == ETreeType::Branch) { if (GetChildFlags() == 0xA) // 2 leaves { SRayResult tmpRes[2]; for (int i = 0; i < 2; ++i) { Node child = GetChild(i); float tf1 = lT; float tf2 = hT; if (BoxLineTest(child.GetBoundingBox(), line, tf1, tf2)) child.LineTestExInternal(line, filter, tmpRes[i], tf1, tf2, maxT, dirRecip); } if (!tmpRes[0].x10_surface && !tmpRes[1].x10_surface) { res = SRayResult(); } else if (tmpRes[0].x10_surface && tmpRes[1].x10_surface) { if (tmpRes[0].x3c_t < tmpRes[1].x3c_t) res = tmpRes[0]; else res = tmpRes[1]; } else if (tmpRes[0].x10_surface) { res = tmpRes[0]; } else { res = tmpRes[1]; } if (res.x3c_t > highT) res = SRayResult(); return; } zeus::CVector3f center = x0_aabb.center(); // r26 zeus::CVector3f lowPoint = line.origin + lT * line.dir; zeus::CVector3f highPoint = line.origin + hT * line.dir; int comps[] = {-1, -1, -1, 0}; float compT[3]; int numComps = 0; for (int i = 0; i < 3; ++i) { if (lowPoint[i] >= center[i] || highPoint[i] <= center[i]) if (highPoint[i] >= center[i] || lowPoint[i] <= center[i]) continue; if (_close_enough(line.dir[i], 0.f, 0.000099999997f)) continue; comps[numComps++] = i; compT[i] = dirRecip[i] * (center[i] - line.origin[i]); } // Sort componentT least to greatest switch (numComps) { default: return; case 0: case 1: break; case 2: if (compT[comps[1]] < compT[comps[0]]) std::swap(comps[1], comps[0]); break; case 3: if (compT[0] < compT[1]) { if (compT[0] >= compT[2]) { comps[0] = 2; comps[1] = 0; comps[2] = 1; } else if (compT[1] < compT[2]) { comps[0] = 0; comps[1] = 1; comps[2] = 2; } else { comps[0] = 0; comps[1] = 2; comps[2] = 1; } } else { if (compT[1] >= compT[2]) { comps[0] = 2; comps[1] = 1; comps[2] = 0; } else if (compT[0] < compT[2]) { comps[0] = 1; comps[1] = 0; comps[2] = 2; } else { comps[0] = 1; comps[1] = 2; comps[2] = 0; } } break; } zeus::CVector3f lineStart = line.origin + (lT * line.dir); int selector = 0; if (lineStart.x() >= center.x()) selector = 1; if (lineStart.y() >= center.y()) selector |= 1 << 1; if (lineStart.z() >= center.z()) selector |= 1 << 2; float tmpLoT = lT; for (int i = -1; i < numComps; ++i) { if (i >= 0) selector ^= 1 << comps[i]; float tmpHiT = (i < numComps - 1) ? compT[comps[i + 1]] : hT; if (tmpHiT > lowT && tmpLoT <= tmpHiT) { Node child = GetChild(selector); if (child.x20_nodeType != ETreeType::Invalid) child.LineTestExInternal(line, filter, res, tmpLoT, tmpHiT, maxT, dirRecip); if (res.x10_surface) { if (res.x3c_t > highT) res = SRayResult(); break; } } tmpLoT = tmpHiT; } } } bool CAreaOctTree::Node::LineTest(const zeus::CLine& line, const CMaterialFilter& filter, float length) const { if (x20_nodeType == ETreeType::Invalid) return true; float f1 = 0.f; float f2 = 0.f; if (!BoxLineTest(x0_aabb, line, f1, f2)) return true; zeus::CVector3f recip = 1.f / line.dir; return LineTestInternal(line, filter, f1 - 0.000099999997f, f2 + 0.000099999997f, length, recip); } void CAreaOctTree::Node::LineTestEx(const zeus::CLine& line, const CMaterialFilter& filter, SRayResult& res, float length) const { if (x20_nodeType == ETreeType::Invalid) return; float lT = 0.f; float hT = 0.f; if (!BoxLineTest(x0_aabb, line, lT, hT)) return; zeus::CVector3f recip = 1.f / line.dir; LineTestExInternal(line, filter, res, lT - 0.000099999997f, hT + 0.000099999997f, length, recip); } CAreaOctTree::Node CAreaOctTree::Node::GetChild(int idx) const { u16 flags = *reinterpret_cast(x18_ptr); const u32* offsets = reinterpret_cast(x18_ptr + 4); ETreeType type = ETreeType((flags >> (2 * idx)) & 0x3); if (type == ETreeType::Branch) { zeus::CAABox pos, neg, res; x0_aabb.splitZ(neg, pos); if (idx & 4) { zeus::CAABox(pos).splitY(neg, pos); if (idx & 2) { zeus::CAABox(pos).splitX(neg, pos); if (idx & 1) res = pos; else res = neg; } else { zeus::CAABox(neg).splitX(neg, pos); if (idx & 1) res = pos; else res = neg; } } else { zeus::CAABox(neg).splitY(neg, pos); if (idx & 2) { zeus::CAABox(pos).splitX(neg, pos); if (idx & 1) res = pos; else res = neg; } else { zeus::CAABox(neg).splitX(neg, pos); if (idx & 1) res = pos; else res = neg; } } return Node(x18_ptr + offsets[idx] + 36, res, x1c_owner, ETreeType::Branch); } else if (type == ETreeType::Leaf) { const float* aabb = reinterpret_cast(x18_ptr + offsets[idx] + 36); zeus::CAABox aabbObj(aabb[0], aabb[1], aabb[2], aabb[3], aabb[4], aabb[5]); return Node(aabb, aabbObj, x1c_owner, ETreeType::Leaf); } else { return Node(nullptr, zeus::CAABox::skNullBox, x1c_owner, ETreeType::Invalid); } } void CAreaOctTree::SwapTreeNode(u8* ptr, Node::ETreeType type) { if (type == Node::ETreeType::Branch) { u16* typeBits = reinterpret_cast(ptr); *typeBits = hecl::SBig(*typeBits); u32* offsets = reinterpret_cast(ptr + 4); for (int i = 0; i < 8; ++i) { Node::ETreeType ctype = Node::ETreeType((*typeBits >> (2 * i)) & 0x3); offsets[i] = hecl::SBig(offsets[i]); SwapTreeNode(ptr + offsets[i] + 36, ctype); } } else if (type == Node::ETreeType::Leaf) { float* aabb = reinterpret_cast(ptr); aabb[0] = hecl::SBig(aabb[0]); aabb[1] = hecl::SBig(aabb[1]); aabb[2] = hecl::SBig(aabb[2]); aabb[3] = hecl::SBig(aabb[3]); aabb[4] = hecl::SBig(aabb[4]); aabb[5] = hecl::SBig(aabb[5]); u16* countIdxs = reinterpret_cast(ptr + 24); *countIdxs = hecl::SBig(*countIdxs); for (u16 i = 0; i < *countIdxs; ++i) countIdxs[i + 1] = hecl::SBig(countIdxs[i + 1]); } } CAreaOctTree::CAreaOctTree(const zeus::CAABox& aabb, Node::ETreeType treeType, const u8* buf, const u8* treeBuf, u32 matCount, const u32* materials, const u8* vertMats, const u8* edgeMats, const u8* polyMats, u32 edgeCount, const CCollisionEdge* edges, u32 polyCount, const u16* polyEdges, u32 vertCount, const float* verts) : x0_aabb(aabb) , x18_treeType(treeType) , x1c_buf(buf) , x20_treeBuf(treeBuf) , x24_matCount(matCount) , x28_materials(materials) , x2c_vertMats(vertMats) , x30_edgeMats(edgeMats) , x34_polyMats(polyMats) , x38_edgeCount(edgeCount) , x3c_edges(edges) , x40_polyCount(polyCount) , x44_polyEdges(polyEdges) , x48_vertCount(vertCount) , x4c_verts(verts) { SwapTreeNode(const_cast(x20_treeBuf), treeType); for (u32 i = 0; i < matCount; ++i) const_cast(x28_materials)[i] = hecl::SBig(x28_materials[i]); for (u32 i = 0; i < edgeCount; ++i) const_cast(x3c_edges)[i].swapBig(); for (u32 i = 0; i < polyCount; ++i) const_cast(x44_polyEdges)[i] = hecl::SBig(x44_polyEdges[i]); for (u32 i = 0; i < vertCount * 3; ++i) const_cast(x4c_verts)[i] = hecl::SBig(x4c_verts[i]); } std::unique_ptr CAreaOctTree::MakeFromMemory(const u8* buf, unsigned int size) { athena::io::MemoryReader r(buf + 8, size - 8); r.readUint32Big(); r.readUint32Big(); zeus::CAABox aabb; aabb.readBoundingBoxBig(r); Node::ETreeType nodeType = Node::ETreeType(r.readUint32Big()); u32 treeSize = r.readUint32Big(); const u8* cur = reinterpret_cast(buf) + 8 + r.position(); const u8* treeBuf = cur; cur += treeSize; u32 matCount = hecl::SBig(*reinterpret_cast(cur)); cur += 4; const u32* matBuf = reinterpret_cast(cur); cur += 4 * matCount; u32 vertMatsCount = hecl::SBig(*reinterpret_cast(cur)); cur += 4; const u8* vertMatsBuf = cur; cur += vertMatsCount; u32 edgeMatsCount = hecl::SBig(*reinterpret_cast(cur)); cur += 4; const u8* edgeMatsBuf = cur; cur += edgeMatsCount; u32 polyMatsCount = hecl::SBig(*reinterpret_cast(cur)); cur += 4; const u8* polyMatsBuf = cur; cur += polyMatsCount; u32 edgeCount = hecl::SBig(*reinterpret_cast(cur)); cur += 4; const CCollisionEdge* edgeBuf = reinterpret_cast(cur); cur += edgeCount * sizeof(edgeCount); u32 polyCount = hecl::SBig(*reinterpret_cast(cur)); cur += 4; const u16* polyBuf = reinterpret_cast(cur); cur += polyCount * 2; u32 vertCount = hecl::SBig(*reinterpret_cast(cur)); cur += 4; const float* vertBuf = reinterpret_cast(cur); return std::make_unique(aabb, nodeType, reinterpret_cast(buf + 8), treeBuf, matCount, matBuf, vertMatsBuf, edgeMatsBuf, polyMatsBuf, edgeCount, edgeBuf, polyCount, polyBuf, vertCount, vertBuf); } CCollisionSurface CAreaOctTree::GetMasterListTriangle(u16 idx) const { const CCollisionEdge& e0 = x3c_edges[x44_polyEdges[idx * 3]]; const CCollisionEdge& e1 = x3c_edges[x44_polyEdges[idx * 3 + 1]]; u16 vert2 = e1.GetVertIndex2(); if (e1.GetVertIndex1() != e0.GetVertIndex1()) if (e1.GetVertIndex1() != e0.GetVertIndex2()) vert2 = e1.GetVertIndex1(); u32 material = x28_materials[x34_polyMats[idx]]; if (material & 0x2000000) return CCollisionSurface(GetVert(e0.GetVertIndex2()), GetVert(e0.GetVertIndex1()), GetVert(vert2), material); else return CCollisionSurface(GetVert(e0.GetVertIndex1()), GetVert(e0.GetVertIndex2()), GetVert(vert2), material); } void CAreaOctTree::GetTriangleVertexIndices(u16 idx, u16 indicesOut[3]) const { const CCollisionEdge& e0 = x3c_edges[x44_polyEdges[idx * 3]]; const CCollisionEdge& e1 = x3c_edges[x44_polyEdges[idx * 3 + 1]]; indicesOut[2] = (e1.GetVertIndex1() != e0.GetVertIndex1() && e1.GetVertIndex1() != e0.GetVertIndex2()) ? e1.GetVertIndex1() : e1.GetVertIndex2(); u32 material = x28_materials[x34_polyMats[idx]]; if (material & 0x2000000) { indicesOut[0] = e0.GetVertIndex2(); indicesOut[1] = e0.GetVertIndex1(); } else { indicesOut[0] = e0.GetVertIndex1(); indicesOut[1] = e0.GetVertIndex2(); } } } // namespace urde